What is the circumference if the area is
452.39

Answers

Answer 1

Answer:

≈ 75,4

Step-by-step explanation:

Given:

A = 452,39

Find: C - ?

First, we need to find the radius:

A = πr^2

πr^2 = 452,39 / : π

r^2 = 452,39/π

r ≈ 12

Now we can find the circumference:

C = 2π × 12 = 24π ≈ 75,4

Answer 2

Step-by-step explanation:

area of circle = 452.39,πr square = 452.39. 3.14r = 452.39 r square = 144 r = 12 cm diameter = 12x2= 24


Related Questions

Mike owed 3,000 shares of Merck of Corporation and received a quarterly dividend check for 1,140 what was annual dividend for one share of Merck?

Answers

Since the dividend per share is computed as Quarterly Dividend Payment / Shares, $1.52 is the yearly dividend for each share of Merck.

What is an example of a dividend?

One of the four crucial steps in the division process is the dividend. It is necessary to divide the entire into several equal sections. For instance, if the result of the division of 10 by 2 is 5, then 10 is the dividend, which is split into two equal pieces, and 2 is the divisor. The result of the division is 5, the quotient, and the remainder is 0.

According to the given information:

Given: The following steps can be taken in order to obtain the dividend per share for the quarterly payment:

Dividend per share is determined using the formula Quarter Dividend Payment / Shares.

The dividend equals $0.38 per share when $1,140 is divided by 3,000 shares.

To calculate the annual dividend per share, multiply the dividend paid every three months per share times the number of quarters in a year:

The annual dividend per share is equal to the quarter dividend per company multiplied by the total number of quarters in a year.

The annual dividend per share is calculated as $0.38 multiplied by four quarters, or $1.52 per share.

Since the calculation for the dividend per share is Periodic Dividend Payment / Shares, the annual dividend for each share of Merck is $1.52.

To know more about dividend visit:

https://brainly.com/question/29510262

#SPJ9

5. Let F: V→ W and G: W→ U be isomorphisms of vector spaces over K. Show that GF: V→U is an isomorphism.​

Answers

GF preserves the identity and addition operations, and hence GF: V→U is an isomorphism.

First, we will show that GF is linear. Let u, v be vectors in V and c be a scalar in K. Then we have:

[tex]GF(cu + v) = G(F(cu + v)) = G(cF(u) + F(v)) = G(cF(u)) + G(F(v))= cG(F(u)) + G(F(v)) = c(GF(u)) + GF(v)[/tex]

Thus, GF is linear.

Next, we will show that GF is bijective. Since F and G are isomorphisms, they are both invertible. Let[tex]F^-1[/tex]and [tex]G^-1[/tex] denote their respective inverses. Then for any u in U, we have:

[tex](GF)^-1(u) = F^-1(G^-1(u))[/tex]

This shows that GF is invertible, and hence bijective.

Finally, we will show that GF preserves the identity and addition operations. Let v1, v2 be vectors in V. Then we have:

[tex]GF(v1 + v2) = G(F(v1 + v2)) = G(F(v1) + F(v2)) = G(F(v1)) + G(F(v2))= GF(v1) + GF(v2)[/tex]

Also, since F and G are isomorphisms, they preserve the identity operations:

[tex]GF(0v) = G(F(0v)) = G(0w) = 0u\\GF(v) = G(F(v)) = G(0w) = 0u if v=0v[/tex]

Thus, GF preserves the identity and addition operations, and hence GF: V→U is an isomorphism.

To learn more about isomorphisms visit;

https://brainly.com/question/29563352

#SPJ9

John's rock collection contains 15 igneous rocks, 9 sedimentary rocks, and 12 metamorphic rocks. If he randomly chooses a rock from his collection, what is the probability it is a sedimentary rock?

Answers

There is a 0.25 percent chance of choosing a sedimentary rock from John's collection based on laws of probability.

We must apply the following formula to determine the likelihood of choosing a sedimentary rock from John's collection:

Probability is calculated as the ratio of favourable outcomes to all other possible outcomes.

The best result in this situation is choosing a sedimentary rock, and the total number of outcomes is equal to the entire number of rocks in John's collection, which is:

Igneous rocks, sedimentary rocks, and metamorphic rocks together make up the total quantity of rocks.

a total of 15 + 9 + 12 stone.

There are 36 rocks in all.

As a result, the likelihood of choosing a sedimentary rock is:

Number of sedimentary rocks divided by the total number of rocks is the likelihood of choosing a sedimentary rock.

picking a sedimentary rock has a 9/36 probability.

25% or 0.25 of the time will a sedimentary rock be chosen.

So, there is a 0.25 percent, or 25%, chance that you will choose a sedimentary rock from John's collection. This indicates that 25% of all the rocks in John's collection are sedimentary rocks, and if one were to choose a rock at random from his collection, there is a one in four chance that they would be sedimentary rocks.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

2 question ASAP Please

Answers

The measure of minor arc UT is equal to the measure of angle UWT, which is half the central angle ZWT. The measure of sector UST is equal to the measure of central angle ZST, which is 2*34 - 112 = -44 degrees. The measure of major arc UT is 360 - 17 = 343 degrees and the measure of segment UST is 343 - 316 = 27 degrees.

What is circle?

A circle is a geometric shape that consists of all the points in a plane that are equidistant from a given point called the center. It is a perfectly round shape and has a constant diameter, which is the distance between any two points on the circle passing through the center.

Given information:

Circle Z

VZ = ZW (equal chords)

SV = 21

m = 112

To find:

UT

WT

ST

Measure of minor arc UT

Measure of sector UST

Since VZ = ZW, we can conclude that SZ is the perpendicular bisector of VW. Therefore, SV = SW = 21.

a) Using the theorem of the perpendicular bisector, we can say that UT = WT = (1/2)VW. Since VZ = ZW, we have VW = VZ + ZW = 2VZ. Therefore, UT = WT = (1/2)2VZ = VZ = 2.

b) Similarly, WT = VZ = 2.

c) Since SV = SW, we can say that ST = SW - TW = 21 - WT = 21 - 2 = 19.

d) The measure of minor arc UT is equal to the measure of angle UWT, which is half the measure of the central angle ZWT. Since VZ = ZW, the central angle ZVW is an isosceles triangle, and the measure of angle ZVW is (180 - 112)/2 = 34 degrees. Therefore, the measure of minor arc UT is 1/2 * 34 = 17 degrees.

e) The measure of sector UST is equal to the measure of central angle ZST. Since VZ = ZW, the central angle ZVW is an isosceles triangle, and the measure of angle ZVW is (180 - 112)/2 = 34 degrees. Therefore, the measure of central angle ZST is 2*34 - 112 = -44 degrees (measured counterclockwise from ZV). However, since angles are usually measured in the range 0 to 360 degrees, we can add 360 to -44 to get 316 degrees. Therefore, the measure of sector UST is 316 degrees.

f) We have already found the measures of minor arc UT and sector UST. Therefore, we can say that the measure of major arc UT is 360 - 17 = 343 degrees, and the measure of segment UST is 343 - 316 = 27 degrees.

To know more about circle, visit

brainly.com/question/266951

#SPJ1

The count in a bacteria culture was 500 after 15 minutes and 1500 after 30 minutes. Assuming the
count grows exponentially,
What was the initial size of the culture?
Find the doubling period.
Find the population after 105 minutes.
When will the population reach 12000.
You may enter the exact value or round to 2 decimal places.

Answers

Hence, it will take about 43.28 minutes for the population to reach 12,000 and  there are approximately 7742.85 people in the world after 105 minutes.

how can we describe logarithm ?

A exponential is an exponents or power in mathematics that must be increased from a given denominator to get a certain value. In other words, just as division is the opposite of multiplication,

the logarithm is the greater operating of exponentiation. The base 10-logarithm (written as log) or the beta coefficient (written as ln), which has a baseline of e, the mathematical constant roughly equal to 2.71828, are the two most widely used logarithms.

In many mathematical fields in science, engineering, and technology, logarithms are employed to facilitate calculations and express extremely big or extremely small values.

given

a) The culture's initial size is:

P(0) = [tex]500/e^{15415*15}[/tex]

≈ 98.90

b) We can easily enter t = 105 into the exponential growth model to determine the population after 105 minutes:

P(105)=98.9*[tex]e^{15415*105}[/tex]

≈ 7742.85

Hence, there are approximately 7742.85 people in the world after 105 minutes.

d) To determine the population's peak, we set P(t) = 12000 and solve for t as follows:

1200=98.9*[tex]e^{0.15415t(0.15415t)}[/tex]

By taking the natural logarithm and dividing both sides by 98.90, we arrive at:

ln(12000/98.90) = 0.15415t

To solve for t, we obtain:

t ≈ 43.28

Hence, it will take about 43.28 minutes for the population to reach 12,000 and  there are approximately 7742.85 people in the world after 105 minutes.

To know more about logarithm visit:

brainly.com/question/30085872

#SPJ9

The back of a shipping truck is 10.5 feet long, 8 feet wide, and 9 feet tall. A company plans to ship basketballs in these trucks. Each basketball package is a box that is shaped like a cube measuring 1.5 feet on each side. How many basketballs can the company pack into each truck? Show your work.

Answers

the company can pack 224 basketballs into each truck.

How to calculate the number of basketballs?

To calculate the number of basketballs that can be packed into the truck

Number of basketballs = Volume of truck / Volume of each basketball package

first calculate the volume of the truck

The volume of the truck is:

Volume = Length x Width x Height

Volume = 10.5 ft x 8 ft x 9 ft

Volume = 756 cubic feet

The volume of each basketball package  is:

Volume = Side x Side x Side

Volume = 1.5 ft x 1.5 ft x 1.5 ft

Volume = 3.375 cubic feet

Now, we can calculate the number of basketballs :

Number of basketballs = Volume of truck / Volume of each basketball package

Number of basketballs = 756 cubic feet / 3.375 cubic feet

Number of basketballs = 224

Therefore, the company can pack 224 basketballs into each truck.

know more about volume visit

https://brainly.com/question/13338592

#SPJ1

If θ is an angle in standard position and its terminal side passes through the point (-8,9), find the exact value of \tan\thetatanθ in simplest radical form.

Answers

Answer:

We can use the definition of tangent to find the value of \tan\theta. Tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle.

To find the value of \tan\theta, we need to first find the values of the adjacent and opposite sides of the triangle. We know that the terminal side of angle \theta passes through the point (-8,9) in the Cartesian plane. This means that the coordinates of the endpoint of the terminal side are (-8,9).

We can now draw a right triangle with the hypotenuse as the terminal side of angle \theta, and the adjacent and opposite sides as the x and y coordinates of the endpoint of the terminal side. We can use the Pythagorean theorem to find the length of the hypotenuse.

The length of the adjacent side is -8 (since it is to the left of the origin) and the length of the opposite side is 9 (since it is above the origin). Therefore, we have:

adjacent = -8

opposite = 9

hypotenuse = \sqrt{(-8)^2 + 9^2} = \sqrt{64 + 81} = \sqrt{145}

Now we can use the definition of tangent to find the value of \tan\theta:

\tan\theta = \frac{opposite}{adjacent} = \frac{9}{-8} = -\frac{9}{8}

Therefore, the exact value of \tan\theta is -\frac{9}{8} in simplest radical form.

The aquarium has 1 fewer red fish than blue fish. 60% of the fish are blue. How many blue fish are in the aquarium? Show your work.

Write as text so i can paste please

Answers

Answer:

3

Step-by-step explanation:

If blue, then 60%. 2/5 are red and 1/3 are blue. Two redfish and three bluefish are present. if the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue. There are 5 out of 3 blue fish in the aquarium.

PLEASE HELP!!!!! MIDDLE SCHOOL MATH!!!!!!!!!!!!

Use the figure shown. Match each angle to the correct angle measure. Some angle measures may be used more than once or not at all.

PLEASE LOOK AT THE PICTURE BELOW!!!!! SHOW WORK!!!!!!!!

Answers

The measures of the angles are:

m ∠GAL = 90°

m ∠LAO = 71°

m ∠CAO = 109°

m ∠KAC = 71°

Determining the measures of angles

From the question, we are to determine the measure of the angles

m ∠GAL = 90° (Right angle)

m ∠LAO

m ∠LAO + m ∠GAL + 19° = 180° (Sum of angles on a straight line)

m ∠LAO + 90° + 19° = 180°

m ∠LAO = 180° - 90° - 19°

m ∠LAO = 90° - 19°

m ∠LAO = 71°

m ∠CAO

m ∠CAO = m ∠KAL (Vertically opposite angles)

m ∠KAL = m ∠GAL + 19°

m ∠KAL = 90° + 19°

m ∠KAL = 109°

Therefore,

m ∠CAO = 109°

m ∠KAC = m ∠LAO (Vertically opposite angles)

m ∠LAO = 71°

Therefore,

m ∠KAC = 71°

Learn more on Determining the measures of angles here: https://brainly.com/question/31238640

#SPJ1

y = 100(0.96)* is an equation that can be used to represent the purchasing power of $100 after x years of inflation. What is the rate of inflation used to make this calculation?​

Answers

The rate of inflation used to make this calculation is 4%

The equation

y = 100(0.96)^x

represents the purchasing power of $100 after x years of inflation. In this equation, 0.96 is the inflation rate.

This means that the purchasing power of $100 decreases by 4% each year due to inflation.

To understand this better, let's take an example. Suppose you have $100 today and the inflation rate is 4%. This means that the purchasing power of $100 will be reduced by 4% after one year. So, after one year, the value of $100 will be $96. If the inflation rate remains the same, after two years, the value of

$100 will be $92.16 ($96 * 0.96)  and so on.

It is important to note that inflation rates can vary over time and across countries, and can have a significant impact on the economy and the purchasing power of consumers. Understanding inflation and its effects is crucial for making informed financial decisions.

To learn more about Inflation :

https://brainly.com/question/29200143

#SPJ11

Find the 36th term.
5, 12, 19, 26, 33, ...
36th term = [?
1st term + common difference(desired term - 1)
Enter
Help Resourc

Answers

Answer: 250

Step-by-step explanation: because i got it right

SIxty meters of rope is used to make three sides of a rectangular camping area with a long wall used as the other side. The length of each side of the rectangle is a natural number. WHat is the largest area that can be enclosed by the rope and the wall?

Answers

Using the area formula for rectangle, the largest area that can be enclosed by rope and wall = 450m².

Define a rectangle?

A rectangle is a quadrilateral with parallel opposite sides and equal angles. There are many rectangular objects all around us. The two characteristics that distinguish each rectangle are its length and its breadth. A rectangle's longer and shorter sides are its width and length, respectively.

Here in the question,

The rope used here is 60m.

Now 60m of rope is forming 3 sides of the rectangle.

The adjacent sides cannot be equal to each other as it is a rectangle.

So, the sides of the rectangle can be given as such so that area will be maximum:

length = 30m

width = 15m

So, the rope includes one length and 2 widths of the rectangle.

As such (60m = 30m + 15m + 15m).

Now, area of the rectangle =

l × w

= 30 × 5

= 450m²

Therefore, the largest area that can be enclosed by rope and wall = 450m².

To know more about rectangles, visit:

https://brainly.com/question/29123947

#SPJ1

A new car is purchased for $33, 000 and over time its value depreciates by one half
every 4 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $9, 300?

Answers

The value of the car is $30675.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here, we have

Given: A new car is purchased for $33, 000 and over time its value depreciates by one-half every 4 years.

We have to find the value of the car to be $9, 300.

Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (4, $9,300). Then we have

Let y be the value of the car and x be the number of years. Then we have

y - 33000 = (-9300/4)(x-0)

y + 2325x = 33000

Then the value of the car of a year after it was purchased, to the nearest hundred dollars will be

y + 2325(1) = 33000

y = 33000 - 2325

y = 30675

Hence, the value of the car is $30675.

To learn more about the linear equation from the given link

https://brainly.com/question/28732353

#SPJ1

What is -7(x+6)+12 if x=7

Answers

Answer:

-79

Step-by-step explanation:

-7(x+6) + 12                       x = 7

-7( 7 + 6) + 12

-7(13) + 12

-91 + 12

-79

So, the answer is -79

The answer is -79 !!!

In a sample of 100 planters mixed nuts 13 were found to be almonds.

A)construct a 99 percent confidence interval for the true proportion of almonds

B)May normality be assumed

C) what sample size would be needed for 99 percent confidence and an error of 0.05

ANSWER ALL URGENT

Answers

or Part A, we can use the formula for confidence intervals:

CI = p ± Zsqrt((pq)/n)

where p is the proportion of almonds found in the sample (13/100 = 0.13), q is 1-p, Z is the z-value for a 99% confidence level (2.576), and n is the sample size (100). Plugging in these values, we get:

CI = 0.13 ± 2.576sqrt((0.130.87)/100)

which simplifies to:

CI = (0.045, 0.215)

Therefore, we are 99% confident that the true proportion of almonds in the population of planters mixed nuts is between 0.045 and 0.215.

For Part B, we can use the Central Limit Theorem to assume normality if the sample size is large enough. Since n = 100 is greater than or equal to 30, we can assume normality.

For Part C, we can use the formula n = (Z^2 p q) / E^2 to calculate the sample size needed. Here, Z is the z-value for a 99% confidence level (2.576), p is the estimated proportion of almonds (0.13), q is 1-p, and E is the maximum error of the estimate in decimal form (0.05). Plugging in these values, we get:

n = (2.576^2 0.13 0.87) / 0.05^2

which simplifies to approximately 276. Therefore, a sample size of at least 276 planters mixed nuts would be needed to estimate the true proportion of almonds with 99% confidence and an error of 0.05

my subscription is not showing what i pain for

Answers

Answer:

Try restarting your computer or using a different web browser

Step-by-step explanation:

Find X
Give step by step explanation please.

Answers

Answer:

x = 29

Step-by-step explanation:

The whole circle is 360°.

Theorem regarding angles inside a circle says that the angle is one half of the arc it encompasses. So m∠S = 0.5 * arc PQR. Also m∠Q = 0.5 * arc PSR.

Think about this, arc PQS + arc RQS = 360°. We have a formula for each of these arc measurements in terms of x.

The arc that corresponds to ∠R is some part of the circle, and the arc that corresponds to ∠P is the other part of the circle.

(5x + 20) + (7x - 8) = 360

12x + 12 = 360

12x = 348

x = 29

Which statement best describes the function h(t) = 210 - 15t?
O h is the function name; h(t) is the input, or independent variable: and t is the output, or dependent variable.
Ohis the function name: t is the input, or independent variable; and h(t) is the output, or dependent variable.
• t is the function name: h(t) is the input, or independent variable: and h is the output, or dependent variable.
O t is the function name; h is the input, or independent variable; and h(t) is the output, or dependent variable.

Answers

Answer:

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

A grain silo has a cylindrical shape. Its radius is 9 ft, and its height is 49 ft. What is the volume of the silo?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Check
9 ft
49 ft
0
ft
X
ft²

Answers

Therefore, A grain silo has a cylindrical shape the answer is: 12,689 ft³ (cubic feet).

What is percentage?

Percentage is a way of expressing a proportion or a part of a whole as a fraction of 100. It is represented by the symbol % (per cent), which means "per hundred". For example, if you say that 50% of a group of 100 people like chocolate, it means that 50 out of 100 people or 0.5 (50/100) of the total group like chocolate. Percentages are commonly used in many fields, including finance, business, mathematics, and statistics.

The formula for the volume of a cylinder is:

V = π[tex]r^{2}[/tex]h

where V is the volume, r is the radius, and h is the height.

Substituting the given values, we get:

[tex]V = 3.14 *9^2 *49[/tex]

[tex]V = 12,689.46[/tex]

Rounding to the nearest whole number, the volume of the silo is approximately 12,689 cubic feet.

Therefore, the answer is:

12,689 ft³ (cubic feet)

To learn more about the volume:

https://brainly.com/question/13338592

#SPJ1

I will give brainlyest to whoever answers this its in a pic because I'm to lazy to type it

Answers

Blank #1: 6
Blank #2: 2


Help I give points pls

Answers

Answer:

-12

Step-by-step explanation:

g(x)=3x,h(x)= x²-4

(g•h)(0)=g(h(0))

=g(0²-4)

=g(-4)

=3×(-4)

=-12

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

y(y + 5) = 750, y² – 5y = 750, y(y – 5) + 750 = 0 are the equations that can be used to solve for y, the length of the room.

What is area?

It is used to measure the size of two-dimensional shapes, such as circles, rectangles, and triangles, and is also used to measure the surface area of three-dimensional shapes, such as cubes, pyramids, and cylinders.

Option 1: y(y + 5) = 750

This equation can be used to solve for y, the length of the room. The area of a rectangular room is equal to the product of its length and width. Therefore, the equation for the area of the room can be expressed as Area = Length x Width.

Substituting y for Length and y+5 for Width, yields Area = y(y+5). Rearranging this equation to solve for y, yields y(y+5) = 750.

Option 2: y² – 5y = 750

This equation can be used to solve for y, the length of the room. This equation can be derived by substituting y for Length and y+5 for Width in the equation Area = Length x Width.

Rearranging this equation yields Area = y² – 5y. Substituting this equation with the given area of 750, yields y² – 5y = 750.

Option 3: y(y – 5) + 750 = 0

This equation can also be used to solve for y, the length of the room. This equation can be derived by substituting y for Length and y+5 for Width in the equation Area = Length x Width.

Rearranging this equation yields Area = y(y – 5).

To find the length of the room, the given area of 750 must be added to both sides of the equation. This yields y(y – 5) + 750 = 0.

For more questions related to circles

https://brainly.com/question/26594685

#SPJ1

which one of these numbers is the largest?
5/4, 1.3, 10/9, 1.6

Answers

Answer:

1.6

Step-by-step explanation:

it is this one trust me

Two gasolines, type A and type B, have octane ratings of 80 and 92, respectively. Type A costs $0.83 per liter and type B costs $0.98 per liter. Determine the blend of minimum cost with an octane rating of at
least 90. Hint: Let x be the fraction of each liter that is type and y be the fraction that is type B.]

Answers

The blend of minimum cost with an octane rating of at least 90 is 11.11% type A gasoline and 55.56% type B gasoline, with a cost per liter of $0.6917.

What is the blend of minimum cost with an octane rating of at least 90?

Let x be the fraction of type A gasoline and y be the fraction of type B gasoline in the blend.

Since we want the blend to have an octane rating of at least 90, we can set up the following equation:

80x + 92y ≥ 90(x + y)

Simplifying this equation,

10x ≥ 2y

y ≤ 5x

We also want to minimize the cost of the blend, which can be expressed as 0.83x + 0.98y

Now we can use the inequalities we've established to find the minimum cost.

We know that y ≤ 5x

So we can substitute y = 5x into the cost equation 0.83x + 0.98(5x)

Simplifying and we get,

5.85x

This is the cost per liter of the blend, so we want to minimize this expression. To do so, we can use calculus and take the derivative with respect to x,

d/dx (5.85x) = 5.85

Setting this equal to zero to find the minimum value of the expression, we get:

5.85 = 0

This is not possible, so we know that the minimum value occurs at the boundary of the feasible region. That is, either x = 0 or y = 5x.

If x = 0, then the cost per liter is simply 0.98y, which we want to minimize subject to the constraint that 92y ≥ 90y, or y ≥ 45. We also have the constraint that y ≤ 1 (since we can't have more than 100% type B gasoline in the blend). So the minimum cost occurs when y = 1, and the cost per liter is 0.98.

If y = 5x, then the cost per liter is 0.83x + 4.9x = 5.73x. We want to minimize this subject to the constraints that 80x + 460x ≥ 90(1 + 4x), or x ≥ 0.0278, and that x ≤ 1. We can also use the inequality y ≤ 1 to get,

5x ≤ 1

x ≤ 0.2

So the feasible range for x is 0.0278 ≤ x ≤ 0.2. We can now calculate the cost of the blend for each value of x in this range and choose the minimum. This is a straightforward calculation, and we find that the minimum cost occurs when x = 0.1111 and y = 0.5556, and the cost per liter is $0.6917.

Learn more about the word cost here,

https://brainly.com/question/31335829

#SPJ1

how to find the surface area of 12 ft 14 ft 20 ft 16 ft

Answers

The surface area of the rectangular prism with dimensions of 12 ft, 14 ft, and 20 ft is 1376 square feet.

What is surface area?

The area is the space occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

To find the surface area of a rectangular prism with dimensions of 12 ft, 14 ft, and 20 ft, we need to calculate the area of each face and then add them together.

First, let's calculate the area of the top and bottom faces, which are both rectangles with dimensions of 12 ft by 20 ft:

Area of top and bottom faces = 2 x (12 ft x 20 ft) = 480 square feet

Next, let's calculate the area of the front and back faces, which are both rectangles with dimensions of 12 ft by 14 ft:

Area of front and back faces = 2 x (12 ft x 14 ft) = 336 square feet

Finally, let's calculate the area of the left and right faces, which are both rectangles with dimensions of 14 ft by 20 ft:

Area of left and right faces = 2 x (14 ft x 20 ft) = 560 square feet

To find the total surface area, we add up the area of all six faces:

Total surface area = Area of top and bottom faces + Area of front and back faces + Area of left and right faces

Total surface area = 480 sq ft + 336 sq ft + 560 sq ft = 1376 sq ft

Therefore, the surface area of the rectangular prism with dimensions of 12 ft, 14 ft, and 20 ft is 1376 square feet.

Learn more about surface area on:

https://brainly.com/question/20771646

#SPJ1

Adrian started biking to the mall traveling 13 mph, after some time the bike got a flat so Adrian walked the rest of the way, traveling 3 mph. If the total trip to the mall took 9 hours and it was 87 miles away, how long did Adrian travel at each speed?


_____ hours at 3 mph

_____ hours at 13 mph

Answers

Answer:

Step-by-step explanation:

Let's denote the time that Adrian traveled on the bike at 13 mph by "t" and the time that he walked at 3 mph by "9 - t" (since the total trip took 9 hours).

Since we know that the total distance traveled was 87 miles, we can write the equation:

distance traveled on bike + distance traveled walking = 87

Using the formula distance = rate x time, we can express the distance traveled on the bike and walking in terms of time:

13t + 3(9 - t) = 87

Simplifying this equation:

13t + 27 - 3t = 87

10t = 60

t = 6

Therefore, Adrian traveled on the bike for 6 hours (at 13 mph) and walked for 3 hours (at 3 mph).

What's the answer to the Radius and the Diameter?

Answers

Answer:

Step-by-step explanation:

Diameter = 7 cm, Radius = 1/2 diameter = 3,5 cm

Step-by-step explanation:

Radius is the line or length from the center of the circle to the side, and is half the diameter. Diameter is a line from one side of the circle to the other, passing through the center point, and is 2 times the radius. With this information we can see the diameter is 7cm and the radius would be half of that, with 3.5cm being the radius.

Amadou and Olivia are making fruit salads for a picnic. Amadou mixes 9 cups of melon and 10 cups of apple and Olivia mixes 2 cups of melon and 3 cups of apple. Use Amadou and Olivia’s percent of apple to determine whose fruit salad will taste more appley.

Answers

Since Olivia's fruit salad contains more apples than Amadou's, it will have a more apple-like flavour based on percent laws.

We must compute the percent of apples in each fruit salad in order to determine which salad will taste most apple-like.

Nine cups of melon plus ten cups of apples equals 19 cups of fruit in Amadou's fruit salad. Therefore, the fruit salad Amadou made contains:

10 cups of apples divided by 19 cups of fruit equals 100% of the percentage of apples in Amadou's fruit salad, or 52.63%.

2 cups of melon and 3 cups of apples total 5 cups of fruit for Olivia's fruit salad. So, there are: in Olivia's fruit salad.

3 cups of apples divided by 5 cups of fruit equals 100% of the percentage of apples in Olivia's fruit salad, which comes out to 60%.

When we compare the percentage of apples in the two fruit salads, we can observe that Olivia's salad contains more apples than Amadou's. Olivia's fruit salad will therefore taste more apple-like.

In conclusion, we can figure out which fruit salad will taste more appley by figuring out the percentage of apples in each salad. As there are more apples in Olivia's fruit salad than in Amadou's, it will taste more apple-like.

Learn more about percent here:
https://brainly.com/question/28670903

#SPJ1

Gfs help pls I will give points

Answers

Answer:

f(g(x))=3x+8

g(f(x))=3x-2

Step-by-step explanation:

f(x)=3x-7, g(x)=x+5

f(g(x))=f(x+5)

=3(x+5)-7

=3x+15-7

=3x+8

g(f(x))=g(3x-7)

=3x-7+5

=3x-2

Type the correct answer in the box. Use numerals instead of words. What value of x satisfies this equation? log(2x)=2

Answers

The value of x that satisfies the equation log(2x) = 2 is 50, which is obtained by applying the definition of logarithms and simplifying the resulting equation.

The given equation is log(2x) = 2. To solve this equation for x, we first use the definition of logarithms, which states that log(base a)(b) = c is equivalent to [tex]a^c = b[/tex]. In this case, the base of the logarithm is not specified, so we assume it is base 10.

To solve for x in the equation log(2x) = 2, we first need to use the definition of logarithms, which states that log(base a)(b) = c is equivalent to [tex]a^c = b[/tex].

In this case, we have:

log(2x) = 2

Using the definition of logarithms, we can rewrite this as:

[tex]10^2 = 2x[/tex]

Simplifying, we get:

100 = 2x

Dividing both sides by 2, we get:

50 = x

Therefore, the value of x that satisfies the equation log(2x) = 2 is 50.

To learn more about logarithms please click on below link        

https://brainly.com/question/31288240

#SPJ1

Other Questions
below is some output from the regression on the furniture factory data. what does the r-square value tell us? a horizontal spring with a force constant of 40 is attached a 0.1 block. (a) if the block is pulled to a distance of 0.5 m and released, what is the maximum speed of the block? (b) what is the frequency of the oscillations? (c) if the spring were flipped vertically and attached to the ground with the block placed on top, how would the natural length of the spring change? (d) how does the frequency of the oscillations of the vertical spring- block oscillator compare with that when it was placed horizontally? calculate the work done (in j) on a 1550 kg elevator car by its cable to lift it 38.5 m at constant speed, assuming friction averages 145 n. when a melody pictorializes a word it is called a. melisma. b. scat-singing. c. word-painting. d. secular. tori is fascinated with the toilet. so far, her parents have caught her trying to flush a stuffed animal, a toy cell phone, and a handful of dog food. which sensorimotor stage is tori most likely in? during which stage of lewin's change model are new employee attitudes and behaviors integrated into their normal way of doing things? VO2max is:Question 5 options:An indicator of cardiovascular enduranceThe maximum amount of oxygen uptake by the bodyInfluenced by arteriovenous oxygen difference and cardiac outputAll of the above cytokines that send regulatory signals between cells of the immune system are . a. monokines b. tumor necrosis factors c. interleukins d. interferon 12. which is not an ndrf-recommended leadership role? a. federal disaster recovery coordinator b. state disaster recovery coordinator c. tribal disaster recovery coordinator d. private sector disaster recovery coordinator When loading a crown or bridge with a ZOE or glass ionomer luting cement, which of the following steps is not taken? wich state had four of the souths major cities? en un golpe de pelota vasca, un jugador golpea la pelota desde 0,8 m del suelo con una velocidad v0 que forma 60 con la horizontal, estando en ese momento a 10 m del frontis. La pelota golpea la pared en un punto a 4,2 m de altura cuando est en trayectoria descendente. Determina: a) la velocidad v0 que se comunic a la pelota en el golpe. What would be the probability Carlos draws a blue marble, does not replace it, and then drawsanother blue marble?7/1056/2251/352/90 which action would the nurse take for a person hospitalized for alcholoism who becomes boisturous belligerant and loud eaq a block of mass 300kg is sliding down a ramp of 4 m from a height of 3 m .calculate the coefficient of kinetic friction,mechanical advantage ,va which factors are likely to cause resistance to change? multiple select question. the potential for loss of status fear of new roles and responsibilities reinforcement of rewards systems fears about job security when the nurse places the patient in the stirrups for a pelvic exam she observes a bulge caused by rectal cavity protrusion. what does the nurse know this protrusion is called? (01.08 mc) when a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic pressure, s(t), can be measured by the following piecewise defined function: where t is the time, in hours, since taking the medication. based on the graph of the piecewise function, if the patient takes the blood pressure medication at 8 a.m., in which interval will their systolic pressure be lowest? Is it correct? They are going to a have lunch in the garden. ramon folds napkins, shines flatware, and polishes glasses at a fine dining establishment. what kind of work is ramon doing?