How do you write a log function?

Answer:

(500-338.03)-78.12x

Step-by-step explanation:

so we know that he has 500 dollars on him. he bought a bike for 273.98. then we add that to 7.23 for each bike reflector. he bought 3 so we do 7.23*3, which is 21.69. he also bought a helmet which cost 42.36. now we add the numbers together. 273.98+21.69+42.36=338.03

he has 500 dollars on him. we need to find out how much money he has left. 500-338.03 is 161.97. he has that much money left.

the bike suits 78.12 each. the easy way to solve this is by doing 161.97/78.12.

this comes up as 2.073. rounded is 2. he can only buy 2 suits

the inequality you are looking for is: (500-338.03)-78.12x

Using Pythagoras theorem to solve the right angle triangle, the height of the building is 14.87 feet

Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as an equation:

x² = y² + z²

where x is the hypothenuse and y, z are the legs of the right angle triangle.

To determine the height of the building in which the ladder will reach, we have to use Pythagoras theorem for that.

x² = y² + z²

15² = 2² + z²

z² = 15² - 2²

z² = 221

z = √221

z = 14.87 feet

The height is 14.87 feet

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Answer:

m∠R= 130

Step-by-step explanation:

[tex]6x-22+8x+34=180[/tex]

[tex]14x+12=180[/tex]

[tex]14x=180-12[/tex]

[tex]14x=168[/tex]

[tex]x=\frac{168}{14}[/tex]

[tex]x=12[/tex]

[tex]m[/tex]∠[tex]R= 8x+34[/tex]

[tex]= 8*12+34[/tex]

[tex]Answer:m[/tex]∠[tex]R= 130[/tex]

[tex]-----------[/tex]

hope it helps u, sis!!

have a great day!!

Answer:

360cm3

Step-by-step explanation:

To do this, you can multiply the base (l * w) by the height to determine the volume. This would be 36*10=360. Then remember that it is a 3 dimensional shape, so the valume is cubed.

Answer:

i need help too

Step-by-step explanation:

plese

Answer:

3(a+2) = 3a+6

Step-by-step explanation:

In the expression 3(a+2), 3 distributes into "a" and 2. Therefore, 3(a+2) = 3(a)+3(2) = 3a+6

A line's x-intercept as well as y-intercept are the points at which the x- and y-axes, respectively, are crossed.

Now, According to the question:

Let's know:

Definition of Intercept

The term "intercept" refers to the location where a line and curve crosses an graph's axis. The x-intercept would be the point at which the x-axis gets crossed. The y-intercept would be the point at which the y-axis becomes crossed.

The x- as well as y-axis intersection point gets what is meant when a line has an intercept. The y-axis was often taken into account if indeed the axis is also not stated. The letter "b" can be typically used to represent it.

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Answer: A t-shirt costs £3.00x, while a hat costs £2.00

Sorry if it's wrong

Step-by-step explanation:

The domain is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is {25000, 21250, 13750, 10000}. The ordered pairs of this function are (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The relation described above can be expressed as a set of ordered pairs by calculating the value of the car for each year based on the depreciation rate. Let's calculate the value of the car for each year:

Year 1: 25000

Year 2: 25000 - 3,750

= 21250

Year 3: 21250 - 3,750

= 13750

Year 4: 13750 - 3,750

= 10000

Therefore, the ordered pairs of this relation are

: (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The domain of this relation is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is

{25000, 21250, 13750, 10000}.

This relation is a function because each input (year) is associated with one output (value).

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Answer:

yes ..................

Answer:

Stretch the graph of f(x) = x + 3 vertically by a factor of 2.

The "same" transformations result in f(x) = 2x + 5

The "different" transformation results in f(x) = 2x + 6

Step-by-step explanation:

Transformation Rules

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]

[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]

Carry out the given transformations.

Given function:

[tex]f(x) = 2x + 3[/tex]  

Translation of 2 units up:

[tex]\begin{aligned}\implies f(x) + 2&= 2x + 3 + 2\\&=2x+5\end{aligned}[/tex]

Given function:

[tex]f(x) =x + 3[/tex]

Vertical stretch by a factor of 2:

[tex]\begin{aligned}\implies 2f(x)&=2(x+3)\\&=2x+6\end{aligned}[/tex]

Given function:

[tex]f(x) = x + 5[/tex]

Horizontal shrink by a factor of 1/2:

[tex]\implies f\left(\dfrac{1}{\frac{1}{2}}x\right)=f(2x)=2x+5[/tex]

Given function:

[tex]f(x) = 2x + 3[/tex]

Translation of 1 unit left:

[tex]\begin{aligned}\implies f(x+1) &= 2(x+1) + 3\\&=2x+5\end{aligned}[/tex]

Three of the transformations result in the same function f(x) = 2 + 5.

Therefore, the transformation that does not belong with the other three is:

Answer:

It is about rounding.

You would round up or down depending on the number after decimal.

If it is < 5 you drop it, if equal or greater than 5 then round up to the next whole number.

5.4% is rounded down to 5% since 4 < 5.

Answer: To determine the correct statement, you need to find a pattern in the values of D(t). You can do this by finding the difference between consecutive values of D(t).

The difference between -60 and 0 is 60.

The difference between 0 and 10 is 10.

The difference between 10 and 90 is 80.

The difference between 90 and 100 is 10.

The difference between 100 and 130 is 30.

The difference between 130 and 150 is 20.

The pattern that emerges is that the difference between consecutive values of D(t) is always 25. This means that the correct statement is "The function is D(t)=25t−60". The correct answer is therefore d.

Step-by-step explanation:

Answer:

D) 7x-10y=-50

Step-by-step explanation:

y=7/10x+5

10y=7x+50

10y-7x=50

-7x+10y=50

No matter how far it is moved away, the midline of a function stays the same. because a sinusoidal function is involved.

A function's amplitude is the distance that the graph of the function moves above and below its midline. The value of the amplitude when graphing a sine function is comparable to the value of the sine coefficient. the greatest displacement or distance that a point on a wave or vibrating body can travel in relation to its equilibrium position A wave or vibration's amplitude or peak amplitude is a gauge of how far from the central value it deviates. All amplitudes are positive numbers.

given

( A)if pendulum were pulled away from its resting position, then Amplitude is the distance from its resting position to the end where it was released.

Amplitude is the same distance it was pulled away if more distance was pulled away then Amplitude is more.

(B). The midline of function s will not change, it will same irrespective of the distance pulled away. Because it's a sinusoidal function.

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Respuesta:  Racional

Explicación:

El número es racional ya que podemos representarlo como una fracción de enteros.

Más específicamente, -97.54 = -9754/100

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

Translation to English:

Answer: Rational

Explanation:

The number is rational since we can represent it as a fraction of integers.

More specifically,  -97.54 = -9754/100

The ratio of the new area to the old area is 16:1. The correct option is the second option

From the question, we are to determine the statement that is true about the area of the circle.

First, we will determine the old area

Using the formula for calculating the area of a circle

A = πr²

Where A is the area

and r is the radius

From the given diagram,

r = 6 ft

Thus,

Old area = π × 6²

Old area = 36π ft²

Now,

If the radius is quadrupled

That is,

r = 4 × 6 ft

r = 24 ft

The new area will be

A = π × 24²

A = 576π ft²

The ratio of the new area to the old area is

576π ft² / 36π ft²

16 /1

= 16 : 1

Hence, the ratio is 16:1

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Answer:

156

Step-by-step explanation:

1 3/5 of an hour is 96 you get that by addind 60 mins with 36(3/5) then just add 60 mins

i believe this is right if you have any questions let me know

Answer:

a. 3.904×10^7

Step-by-step explanation:

I hope this helps.

The horizontal distance that the boat is from the lighthouse is 920.31 feet

An equation is used to show the relationship between numbers and variables.

Trigonometric ratio shows the relationship between the sides and angles of a right angled triangle.

A beacon light is 113 feet above the water. The angle of elevation to the beacon is 7 degrees.

Let d represent the horizontal distance from the house.

Using trig ration:

tanФ = opposite/adjacent

Substituting:

tan(7) = 113 / d

d = 920.31 feet

The horizontal distance is 920.31 feet

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Answer:

90°

Step-by-step explanation:

360÷4=90°

Each is 90°

The probability that the product has a shelf life of at least 1 week and at most 2 weeks is 0.30.

Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability is a concept in mathematics that helps predict the likelihood of certain events. Probability generally refers to the degree to which something is likely to occur.

A standard normal variable with a mean of 0 and a variance of 1 can be created from a normally distributed random variable with a defined mean and variance.

Thus, The probability that the product has a shelf life of at least 1 week and at most 2 weeks is 0.30.

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Answer:

yes, it uses the Commutative Property

Step-by-step explanation:

An average of 782 travelers miss their flight each day during a typical day. In contrast, 1,835 passengers are late for their flights every day over the Christmas holiday, which results in 14 planes being delayed.

1,053 travelers (2,835-782 = 1,053)

During the Christmas holidays, there are 1,053 extra passengers who are late for their flights.

In order to compute WADO, we multiply the total amount of each overdue invoice by the number of days past due, then divide that total by the number of days past due. You may figure out your average daily sales by dividing your total sales over a certain period of time by the number of days in that same period.

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Answer:

A  =  $94652.66

Step-by-step explanation:

Use the compound amount formula   A = P(1 + r/n)^(nt), where r is the annual interest rate and n is the number of compounding periods per year.

Here, A = ($77000)(1 + 0.07/2)^(2*3), or

          A = $77000(1.035)^6, or

          A  =  $77000(1.229), or

           A  =  $94652.66

Answer:

D. 1 5/16

Step-by-step explanation:

mark brainliest

Answer:

the answer is 1,792

Step-by-step explanation:

times them all together

Answer:

112

Step-by-step explanation:

base times height

The value of x when z is equal to 75 is [tex]$3\sqrt{75}$[/tex]

To calculate the value of $x$ when $z$ is equal to $75$, first rewrite the given proportionality as equations.

When x is directly proportional to [tex]$y^3$[/tex], the equation is given by:

[tex]$x = ky^3$[/tex]

where k is the constant of proportionality.

Similarly, when y is inversely proportional to [tex]$\sqrt{z}$[/tex], the equation is given by:

[tex]$y = \frac{m}{\sqrt{z}}$[/tex]

where m is the constant of proportionality.

Substituting the second equation into the first equation gives:

[tex]$x = k\left(\frac{m}{\sqrt{z}}\right)^3$[/tex]

Since the value of x is 3 when z is 12, the equation can be written as:

[tex]$3 = k\left(\frac{m}{\sqrt{12}}\right)^3$[/tex]

Rearranging gives:

[tex]$k = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}$[/tex]

Substituting this value of k into the original equation gives:

[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{m}{\sqrt{z}}\right)^3$[/tex]

Substituting z as 75 gives:

[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{m}{\sqrt{75}}\right)^3$[/tex]

Simplifying gives:

[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{\sqrt{12}}{\sqrt{75}}\right)^3m^3$$x = \frac{3m^3}{\left(\frac{m}{\sqrt{75}}\right)^3}$$x = \frac{3m^3\sqrt{75}}{m^3}$$x = 3\sqrt{75}$[/tex]

Therefore, the value of x  when z is equal to 75 is [tex]$3\sqrt{75}$[/tex].

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The ordered triplet (x, y, z) or the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7 is (-170/127, -89/127, 282/127).

Start with the first equation:

x + 3y + 2z = 1

Isolate x by subtracting 3y and 2z from both sides:

x = 1 - 3y - 2z

Substitute this expression of x into the second equation:

0.3x + y + 5z = 10

Substitute the value of x found in step 2 into this equation:

0.3(1 - 3y - 2z) + y + 5z = 10

0.3 -0.9y -0.6z + y + 5z = 10

0.1y + 4.4z = 9.7

y + 44z = 97

Solve for y by isolating it:

y = 97 - 44z

Substitute this expression of y into the first equation:

x + 3(97 - 44z) + 2z = 1

x + 291 - 132z + 2z = 1

Solve for x:

x = 130z - 290

Substitute this expression of x into the third equation:

-2(130z - 290) - 3(97 - 44z) + z = 7

-260z + 580 - 291 + 132z + z = 7

Solve for z:

127z = 282

z = 282/127

Substitute this value of z into the expression of y:

y = 97 - 44(282/127)

= -89/ 127

Substitute the values of z into the expression of x:

x = 130(282/127) - 290

= - 170/ 127

So the solution of the system of equations is: x = -170/127, y = -89/127, z = 282/127.

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