Find the volume of a pyramid with a square base, where the area of the base is

The volume of a cube is V=s3 , where s is the length of one edge of the cube. What is the edge length s for each cube?

PolarNik [594]

Answer:

s = $\sqrt[3]{999} }$

Step-by-step explanation:

V = s^3

Plug in the given volume.

999 = s^3

Take the third root of both sides to cancel out the ^3.

$\sqrt[3]{999} }$ = s

4 0

3 years ago

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A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da

nikklg [1K]

Answer:

$x\approx 267\ miles$

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

$f(x)=mx+b$

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

$c = mx+b$

We must find the values of m and b with the data provided. Substituting the first point:

$79 = 150m+b$

Substituting the second point:

$63.70 = 65m+b$

Both equations form the following system:

$\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.$

Subtracting both equations:

$150m-65m=79-63.70$

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

$85m=15.3$

Solving:

$m=15.3/85=0.18$

From the first equation

$79 = 150m+b$

Solving for b:

$b=79-150m=79-150(0.18) = 52.$

The model for the problem is:

$c=0.18x+52$

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

$100=0.18x+52$

Solve for x:

$0.18x+52=100$

$0.18x=100-52=48$

$x=48/0.18=266.67$

Rounding to the closest integer:

$\boxed{x\approx 267\ miles}$

7 0

3 years ago

117,456 rounded to nearest tenth

tatuchka [14]

117,460 is the answer

4 0

3 years ago

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What is the slope of the graph of 14x + 7y = –9? A. 1/2 B. -1/2 C. 2 D. -2

Debora [2.8K]

First move the 14x over to get 7y=-14x-9 then divide by 7 and you get y= -2x-9/7. the slope is the value next to the x in y=mx+b form so the slope is -2

7 0

3 years ago

Will get branliest!!!!!!!

lawyer [7]

Answer:

It has the same domain as the function $f(x)=-\sqrt{-x}$

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand cannot be a negative number

so

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the given function is the interval ----> (-∞,0]

All real numbers less than or equal to 0

The range of the given function is the interval ----> [0,∞)

All real numbers greater than or equal to zero

Verify each statement

Part 1) It has the same domain as the function $f(x)=-\sqrt{-x}$

The statement is true

The domain of the function $f(x)=-\sqrt{-x}$ is

the interval ---> (-∞,0]

Part 2) It has the same range as the function $f(x)=-\sqrt{-x}$

The statement is false

The range of the function $f(x)=-\sqrt{-x}$ is

the interval ---> (-∞,0]

Part 3) It has the same domain as the function $f(x)=-\sqrt{x}$

The statement is false

The domain of the function $f(x)=-\sqrt{x}$ is

the interval ---> [0,∞)

Part 4) It has the same range as the function $f(x)=-\sqrt{x}$

The statement is false

The range of the function $f(x)=-\sqrt{x}$ is

the interval ---> (-∞,0]

4 0

3 years ago

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