The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?

The expression for y is y = 2x +20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

We're given that:

Then we have:

y = time on math homework + history homework

y = 2 +2 +2 ... (x times) + 20 minutes

[tex]y = 2x + 20[/tex]

x is "number of math problems". Thus, x can be 0,1,2,... These numbers are called non-negative integers(or integers greater or equal to 0) or whole numbers.

y is the time taken, but we see that

y = 2 times (non-negative integer) + 20

y = positive integer times non-negative integer + positive integer

Thus, we have:

y = non-negative integer + positive integer = positive integer

Thus, y assumes positive integral values only (in minutes).

Also, y is always going to be at least 20 (as history homework is going to take 20 minutes, even if math homework is nill ).

Thus, the expression for y is y = 2x +20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20

Learn more about domain here:

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Answer:

357.5ft^3

Step-by-step explanation:

solve for bottom reticular prism

8 * 10 * 4

320ft^3

solve for top triangular prism

((3*5)/2)*5

37.5ft^3

add top and bottom  

320+37.5

357.5ft^3

Answer: 268ft^3

Step-by-step explanation: To solve, find the area of each side and add them all together.

8*4=32*2=64

10*4=40*2=80

10*5=50*2=100

8*3/2=12*2=24

64+80+100+24=268

Hope I helped <3

Answer:

The surface area of a figure is the sum of all the sides that consist of it.

Let's first find the base's area, using the formula for the area of a rectangle, L · W:

9(6)

= 54 is the area of the base.

Now let's find the entire front side of this figure's area and double it so we get both the areas of the front and back side (using the formula for the area of a rectangle):

4(9)[bottom front rectangle] + 4(5)[upper front rectangle]

36 + 20

= 56, now double that area to get the area of both the front and back side:

56(2)

= 112 is the area of both the entire front and back side of this figure.

Now let's figure out the area of the right whole side of this figure then double it so we get both the areas for the left and right sides.

But, if we look at the middle rectangle to the right and left sides, we can see that there is no value, so let's find the value first.

The total length across the figure is 9 inches.

And we are given that the rectangle above intersects with the total length, so let's exclude that from 9 inches.

9 - 4 = 5, so now the total length of the two rectangles beside the above rectangle is 5.

But we want to find the value of one side, so divide 5 by 2.

5/2 = 2.5 inches.

Now let's find the whole entire area of the right side to this figure.

5(6)[upper right rectangle] + 2.5(5)[flat middle right rectangle] + 6(4)[bottom right rectangle)

30 + 12.5 + 24

= 66.5, now double that area to get both the area of the right and left side.

66.5(2)

= 133, is the area of both the right and left side of this entire figure.

Finally, we add all those areas together to get the surface area:-

54 + 112 + 133

= 299 inches is the surface area for this figure.

Answer:The surface area of a figure is the sum of all the sides that consist of it.

Let's first find the base's area, using the formula for the area of a rectangle, L · W:

9(6)

= 54 is the area of the base.

Now let's find the entire front side of this figure's area and double it so we get both the areas of the front and back side (using the formula for the area of a rectangle):

4(9)[bottom front rectangle] + 4(5)[upper front rectangle]

36 + 20

= 56, now double that area to get the area of both the front and back side:

56(2)

= 112 is the area of both the entire front and back side of this figure.

Now let's figure out the area of the right whole side of this figure then double it so we get both the areas for the left and right sides.

But, if we look at the middle rectangle to the right and left sides, we can see that there is no value, so let's find the value first.

The total length across the figure is 9 inches.

And we are given that the rectangle above intersects with the total length, so let's exclude that from 9 inches.

9 - 4 = 5, so now the total length of the two rectangles beside the above rectangle is 5.

But we want to find the value of one side, so divide 5 by 2.

5/2 = 2.5 inches.

Now let's find the whole entire area of the right side to this figure.

5(6)[upper right rectangle] + 2.5(5)[flat middle right rectangle] + 6(4)[bottom right rectangle)

30 + 12.5 + 24

= 66.5, now double that area to get both the area of the right and left side.

66.5(2)

= 133, is the area of both the right and left side of this entire figure.

Finally, we add all those areas together to get the surface area:-

54 + 112 + 133

= 299 inches is the surface area for this figure.

Step-by-step explanation:

Answer: A

Step-by-step explanation: 27+9 = 36

Answer:

5

Step-by-step explanation:

70% is 0.7, multiply 0.7×50=35 points on Jenny's test. Hannah scored 0.8×50=40 points on the test. Subtract 40-35 for the answer of 5

Answer:

L=93

Step-by-step explanation:

So basically you need to know the formula beforehand the formula to find the length of a rectangle what is P=2(l+w) so to find for L the equation will be L=P/2-W=294-54=93 Therefore 93 is L

Answer:

c=3a=180

Step-by-step explanation:

c=3a,t=c+10 and a +t=430

a+3a+3a+10=430

7a=420

a=60

c=3a=180

Answer:

3.5555555555556

Step-by-step explanation:

you cannot find the Mean Absolute Deviation of one number. This answer is the data set 2, 9, and 0. 3.5555555555556 is the Mean Absolute Deviation of 2, 9, 0.

The equation of the function which is graphed on the right is specified by: Option C: y = 2^{x-2} + 3

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Since there is no graph available, we will work with the image attached below.

The function, as visible is tending to output 3 and x goes more and more negative.

That means:

[tex]\lim_{x\rightarrow -\infty}f(x) = 3[/tex] (assuming the predicted pattern is true).

Checking this for all the options:

Case 1: [tex]y = f(x) = 2^{x+3} - 2[/tex]

[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x+3} -2 = -2[/tex]
Thus, the graph doesn't belong to this function.

Case 2: [tex]y = f(x) = 2^{x-3} + 2[/tex]

[tex]\lim_{x\rightarrow -\infty} f(x) = \lim_{x\rightarrow -\infty}2^{x-3} + 2 = 2[/tex]
Thus, the graph doesn't belong to this function.

Case 3: [tex]y = f(x) = 2^{x-2} +3[/tex]

[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} +3 = 3[/tex]
Thus, the graph may belong to this function. (we are still not sure since the last option may also have same limit, which if is found to be true, then additional findings would've to be done too).

Case 4: [tex]y = f(x) = 2^{x-2} - 3[/tex]

[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} -3 = -3[/tex]
Thus, the graph doesn't belong to this function.

Thus, assuming at least one option is true, the graph of the considered function on the right is of the function [tex]y = f(x) = 2^{x-2} +3[/tex]

Learn more about graphing functions here:

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Answer:

c

Step-by-step explanation:

Answer:

20x

Step-by-step explanation:

Answer:

A.

Divide each dimension by scale factor of 5

Big Δ dimensions : Small Δ dimensions

35 : 7

30 : 6

15 : 3

a = 7 in

b = 6 in

c = 3 in

Hope this helps and God bless!

Answer:

16π

Step-by-step explanation:

Given:

[tex]\text{Radius of circle}: 4 \ \text{m}[/tex]

Formula:

[tex]\text{Area of circle} = \pi r^{2}[/tex]

Replace the radius in the formula:

[tex]\implies \text{Area of circle} = \pi (4)^{2}[/tex]

Evaluate the area:

[tex]\implies \text{Area of circle} = \pi (4)(4)[/tex]

[tex]\implies \text{Area of circle} = 16\pi[/tex]

Since the question says to determine the area in terms of π, the final answer is 16π.

[tex]\frac{1}{2} (n+8) + \frac{3}{4} [/tex]

[tex]\frac{1(n+8)}{2} + \frac{3}{4} [/tex]

[tex]\frac{n+8}{2} + \frac{3}{4} [/tex]

[tex]\frac{2(n+8)}{4} + \frac{3}{4} [/tex]

[tex]\frac{2(n+8) + 3}{4} [/tex]

[tex]\frac{2n + 16 +3}{4} [/tex]

[tex] \frac{2n + 19}{4} [/tex]

Answer:

anwer 9$ and hour

Step-by-step explanation:

9×8=72

9+5=14

14×3=42

42+72=114

The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]

A trapezium is one pair of parallel sides and one pair of non-parallel sides.

from the diagram we can extract the necessary information needed to find the area of the trapezium.

for the first trapezium (lamp shade)

a = 4 in

b = 6 in

h = 6 in

[tex]A_{1}[/tex] = [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{1}[/tex] = [tex]\frac{4 + 6}{2}[/tex] * 6

[tex]A_{1}[/tex] = [tex]\frac{10}{2}[/tex] * 6

[tex]A_{1}[/tex] = 5 * 6 = 30[tex]in^{2}[/tex]

For the area of the second trapezium (lamp base)

a = 4 in

b = 6 in

h = 4 in

[tex]A_{2}[/tex]  = [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{2}[/tex]  = [tex]\frac{4 + 6}{2}[/tex] * 4

[tex]A_{2}[/tex]  = [tex]\frac{10}{2}[/tex] * 4

[tex]A_{2}[/tex]  = 5 * 4 = 20[tex]in^{2}[/tex]

For the area of the third trapezium (lamp base)

a = 6 in

b = 4 in

h = 4 in

[tex]A_{3}[/tex]  =  [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{3}[/tex]  =  [tex]\frac{6 + 4}{2}[/tex] * 4

[tex]A_{3}[/tex]  =  [tex]\frac{10}{2}[/tex] * 4

[tex]A_{3}[/tex]  =  5 * 4 = 20[tex]in^{2}[/tex]

The total Area of the trapezium (lamp)

A = [tex]A_{1}[/tex]  +  [tex]A_{2}[/tex]  +  [tex]A_{3}[/tex]

A = 30 + 20 + 20

A = 70 [tex]in^{2}[/tex]

Inconclusion The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]

Learn more about Trapezoid : https://brainly.com/question/1463152

Answer:

Step-by-step explanation:

20, 30, 70

Answer:

8:18

Step-by-step explanation:

Answer:

25.5

Step-by-step explanation:

the sum of an infinite geometric series with first term a and common ratio r<1 is given by a/(1-r).

------------------------------------

the sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?

Solve:

a/(1-r) = 200

a/0.85 = 200

a = 170 (that is the 1st term)

----

2nd term: a*r = 170*0.15 = 25.5

--------------------------------------

Answer:

2

Step-by-step explanation:

2 is 2 away from 0

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

option ( c ) [tex]\huge\pink{1 \frac{2}{5} }[/tex]

step by step explanation -

well , the question asks us to find the difference between the two terms given as mixed fractions ~

tho it's not that difficult to simplify a problem in mixed fraction , but solving the problem by first converting it to an improper fraction reduces the risk of mistakes ! so let's do the question by that way ~

[tex]4 \frac{4}{5} - 3 \frac{2}{5} \\ \\ converting \: into \: improper \: fraction \: we \: get \\ \\ \implies \: \frac{5 \times 4 + 4}{5} \: \: - \: \: \frac{5 \times 3 + 2}{5} \\ \\ \implies \: \frac{24}{5} \: \: - \: \: \frac{17}{5} \\ \\ since \: the \: denominators \: are \: same \: we \: can \: simply \: subtract \: the \: terms \\ \\ \implies \: \frac{7}{5} [/tex]

we're done with our solution tho , but since the options given are in mixed fraction , so let's convert the improper fraction , obtained as the answer , into a mixed fraction !

[tex] \frac{7}{5} = 1 \frac{2}{5} \\ [/tex]

hope helpful :D

Answer:

1 2/5

Step-by-step explanation:

subtract it and then add it and u will have your answer

Answer:

[tex]c + c \: + 40 + 12 = 100 \\ 2c + 52 = 100 \\ 2c = 100 - 52 \\ 2c = 48 \\ c = \frac{48}{2} \\ c = 24cm[/tex]

Answer: 24

Explanation: 12+40 is 52, perimeter is adding up all the sides. since perimeter is 100, then you have to see what numbers you add to get 100. 100-52 is 48. since there are 2 sides, you divide 48 by 2, which is 24.

I hope this is helpful xx

Answer:

George : Carl : Alex = 1 : 12 : 4

Step-by-step explanation:

let a = Alex's age in years

let g = George's age in years

let c = Carl's age in years

Given:

⇒ a = 12 + g

⇒ g = a - 12

Given:

⇒ c = 3a

Given:

⇒ a + g + c = 68

Substitute the first two equations in the last equation and solve for a:

⇒ a + (a - 12) + 3a = 68

⇒ 5a - 12 = 68

⇒ 5a = 80

⇒ a = 16

Substitute the found value of a into the other equations to find g and c:

⇒ g = 16 - 12 = 4

⇒ c = 3(16) = 48

Therefore:

Ratio

George : Carl : Alex = 4 : 48 : 16

Reduce by dividing by 4 → 1 : 12 : 4

Answer:

40/3

Step-by-step explanation:

-0.6X=-8

X=-8/-06

X=40/3

Answer:

Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.

Step-by-step explanation:

P Q Difference

1 40 40 0

2 38 36 2

3 36 32 4

4 34 28 6

5 32 24 8

6 30 20 10

7 28 16 12

8 26 12 14

9 24 8 16

10 22 4 18

==================

Answers are:

Excluding the first term, a term in Pattern P is always 2 greater than its corresponding term in Pattern Q.

Excluding the first term, a term in Pattern Q is always 4 greater than its corresponding term in Pattern P.

Starting with 0, the difference in the corresponding terms in the two patterns decreases by 4.

Answer:

64 textbooks

Step-by-step explanation:

the first two teachers had 21 students each that's 21+21=42

the other teacher had 22 students so apparently all the textbooks handed to the students are,21+21+22=64

The total amount of deduction in percentage is 22%. Then the correct option is B.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The total amount of deductions from an employee’s gross pay is $83.20. if the gross pay is $378.18.

Then the percentage will be given as

[tex]\rm P = \dfrac{83.20}{378.18}\times 100\\\\P = 0.220 \ or \ 22\%[/tex]

More about the percentage link is given below.

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Answer:

The answer is 10 and i know because im smart

Step-by-step explanation:

because im smart

Answer:

24

Step-by-step explanation:

add 8 and 12 and 4 and its 24

Answer:

x^2 + 14x + 57 = 0

Step-by-step explanation:

(x+5)^2+4(x+5)+12 = 0

x^2 +10x + 25 + 4x + 20 + 12 = 0

x^2 + 14x + 57 = 0

Answer:

Yo espero yo ayuda tu résolve estes équations

Step-by-step explanation:

a) x=8

b) x=-7

c) x=5,1

d) x=5/4

e) x=-3

f) x=5

Lo siento, mi español no son muy bien.