Find the volume of the pyramid. 100 points

Answers

Answer 1

Answer:

120 yd^3

Step-by-step explanation:

The formula for the volume of a pyramid is...

$V=(1)/(3)Bh$

B is the area of the base and h is the height from the middle of the pyramid to the top. Since we know both of these we can plug them in.

$V=(1)/(3)(45*8)$

$V=(1)/(3)*360$

$V=$

120

The volume for the pyramid is 120 yd^3.

Answer 2

Answer:

Answer:

120 yards ^3

Step-by-step explanation:

To solve we need to know the formula.

The formula for the volume of a pyramid is 1/3 B * H

B= 45 and H = 8. We can sub those values in to the formula to solve.

= 1/3 45*8

= 1/3 360

=120

Since we multiplied yd^2 by yd, we get yd^3

So the answer is 120 yd^3

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An unknown number y is 15 more than an unknown number x. The number y is also x less than 8. The equations to find x and y are shown below. y = x + 15
y = −x + 8

Which of the following statements is a correct step to find x and y?
Answers:
Multiply the equations to eliminate y.

Add the equations to eliminate x.

Write the points where the graphs of the equations intersect the x-axis.

Write the points where the graphs of the equations intersect the y-axis.

Answers

Add the equations to eliminate x.

y = x + 15
y = −x + 8

2y = 23

y = 11.5

All right, if I remember correctly... You have to add the equations to eliminate x.

Now, how you do that... let me search my memory for that xDDDD

Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.25% of the stickers on each sheet are hearts. The remaining stickers are stars.

Drag the tiles to identify the number of heart stickers and the number of star stickers in the package.
Numbers may be used once or not at all.
20
25
100
125
325
375
475
480
Number of Heart Stickers
Number of Star Stickers Pls tell me it really hard :(

Answers

Step-by-step explanation:

Total number of stickers is 500.

25% of the total number is hearts:

500*25/100 = 125 heart stickers

The rest of the stickers are stars:

500 - 125 = 375 star stickers

Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.When f(x) becomes f(x) − 3
When f(x) becomes −2 ⋅ f(x)

Answers

First of all, let's review the definition of some concepts.

Even and odd functions:

A function is said to be even if its graph is symmetric with respect to the $y-axis$ , that is:

$y=f(x) \ is \ \mathbf{even} \ if, \ for \ each \ x \ in \ the \ domain \ of \ f, \n f(-x)=f(x)$

On the other hand, a function is said to be odd if its graph is symmetric with respect to the origin, that is:

$y=f(x) \ is \ \mathbf{odd} \ if, \ for \ each \ x \ in \ the \ domain \ of \ f, \n f(-x)=-f(x)$

Analyzing each question for each type of functions using examples of polynomial functions. Thus:

FOR EVEN FUNCTIONS:

1. When $f(x)$ becomes $f(x)-3$

1.1 Effects on the y-intercept

We need to find out the effects on the y-intercept when shifting the function $f(x)$ into:

$f(x)-3$

We know that the graph $f(x)$ intersects the y-axis when $x=0$ , therefore:

$y=f(0) \ is \ the \ y-intercept \ of \ f$

So:

$y=f(0)-3 \ is \ the \ new \ y-intercept$

So the y-intercept of $f(x)-3$ is three units less than the y-intercept of $f(x)$

1.2. Effects on the regions where the graph is increasing and decreasing

Given that you are shifting the graph downward on the y-axis, there is no any effect on the intervals of the domain. The function $f(x)-3$ increases and decreases in the same intervals of $f(x)$

1.3 The end behavior when the following changes are made.

The function is shifted three units downward, so each point of $f(x)-3$ has the same x-coordinate but the output is three units less than the output of $f(x)$ . Thus, each point will be sketched as:

$For \ y=f(x): \n P(x_(0),f(x_(0))) \n \n For \ y=f(x)-3: \n P(x_(0),f(x_(0))-3)$

FOR ODD FUNCTIONS:

2. When $f(x)$ becomes $f(x)-3$

2.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is three units less. So the graph is shifted three units downward again.

An example is shown in Figure 1. The graph in blue is the function:

$y=f(x)=x^3-x$

and the function in red is:

$y=f(x)-3=x^3-x-3$

This function is odd, so you can see that:

$y-intercept \ of \ f(x)=0 \n y-intercept \ of \ f(x)-3=-3$

2.2. Effects on the regions where the graph is increasing and decreasing

The effects are the same just as in the previous case. So the new function increases and decreases in the same intervals of $f(x)$

In Figure 1 you can see that both functions increase and decrease at the same intervals.

2.3 The end behavior when the following changes are made.

It happens the same, the output is three units less than the output of $f(x)$ . So, you can write the points just as they were written before.

So you can realize this concept by taking a point with the same x-coordinate of both graphs in Figure 1.

FOR EVEN FUNCTIONS:

3. When $f(x)$ becomes $-2.f(x)$

3.1 Effects on the y-intercept

As we know the graph $f(x)$ intersects the y-axis when $x=0$ , therefore:

$y=f(0) \ is \ the \ y-intercept \ again$

And:

$y=-2f(0) \ is \ the \ new \ y-intercept$

So the new y-intercept is the negative of the previous intercept multiplied by 2.

3.2. Effects on the regions where the graph is increasing and decreasing

In the intervals when the function $f(x)$ increases, the function $-2f(x)$ decreases. On the other hand, in the intervals when the function $f(x)$ decreases, the function $-2f(x)$ increases.

3.3 The end behavior when the following changes are made.

Each point of the function $-2f(x)$ has the same x-coordinate just as the function $f(x)$ and the y-coordinate is the negative of the previous coordinate multiplied by 2, that is:

$For \ y=f(x): \n P(x_(0),f(x_(0))) \n \n For \ y=-2f(x): \n P(x_(0),-2f(x_(0)))$

FOR ODD FUNCTIONS:

4. When $f(x)$ becomes $-2f(x)$

See example in Figure 2

$y=f(x)=x^3-x$

and the function in red is:

$y=-2f(x)=-2(x^3-x)$

4.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is the negative of the previous intercept multiplied by 2.

4.2. Effects on the regions where the graph is increasing and decreasing

In this case it happens the same. So in the intervals when the function $f(x)$ increases, the function $-2f(x)$ decreases. On the other hand, in the intervals when the function $f(x)$ decreases, the function $-2f(x)$ increases.

4.3 The end behavior when the following changes are made.

Similarly, each point of the function $-2f(x)$ has the same x-coordinate just as the function $f(x)$ and the y-coordinate is the negative of the previous coordinate multiplied by 2.

The y-intercept of  is  .
Of course, it is 3 less than  , the y-intercept of  .
Subtracting 3 does not change either the regions where the graph is increasing and decreasing, or the end behavior. It just translates the graph 3 units down.
It does not matter is the function is odd or even.

is the mirror image of  stretched along the y-direction.
The y-intercept, the value of  for  , iswhich is  times the y-intercept of  .Because of the negative factor/mirror-like graph, the intervals where  increases are the intervals where  decreases, and vice versa.
The end behavior is similarly reversed.
If  then  .
If  then  .
If  then  .
The same goes for the other end, as  tends to  .
All of the above applies equally to any function, polynomial or not, odd, even, or neither odd not even.
Of course, if polynomial functions are understood to have a non-zero degree,  never happens for a polynomial function.

A square garden is 10 feet long. How much will it cost to install a fence around the garden if the fence costs $1.75 per foot?

Answers

ok we know that the fence is 1.75 per foot and we need 10feet of it so it simple

math 10*1.75

17.50$

9.54 million mi2 without decimal

Answers

Answer:

9,540,000 square miles

= 17,210,000

Simplifying rational expressions1. (c+8)(c-8)/(c-8)(c+3)
2. n^2+4n-12/n^2+2n-8
3. 42x^2y^3/28x^3y
4. m^2-3m-10/m-5

Answers

1. $((c + 8)(c - 8))/((c - 8)(c + 3)),$
   $(c + 8)/(c + 3)$

2. $(n^(2) + 4n - 12)/(n^(2) + 2n - 8),$
   $(n^(2) + 6n - 2n - 12)/(n^(2) + 4n - 2n - 8),$
   $(n(n) + n(6) - 2(n) - 2(6))/(n(n) + n(4) - 2(n) - 2(4)),$
   $(n(n + 6) - 2(n + 6))/(n(n + 4) - 2(n + 4)),$
   $((n - 2)(n + 6))/((n - 2)(n + 4)),$
   $(n + 6)/(n + 4)$

3. $(42x^(2)y^(3))/(28x^(3)y),$
   $(3y^(2))/(2x)$

4. $(m^(2) - 3m - 10)/(m - 5),$
   $(m^(2) - 5m + 2m - 10)/(m - 5),$
   $(m(m) - m(5) + 2(m) - 2(5))/(m - 5),$
   $(m(m - 5) + 2(m - 5))/(m - 5),$
   $((m + 2)(m - 5))/(m - 5),$
   $m + 2$

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