Identify the y intercept of the function -3(3)^x +4

3 kom 2.7 Eve carves a shape out of wood. What is the volume of the shap 3 cm 1 cm 2 cm 3 cm 4 cm

Mariana [72]

Answer:

50cm

Step-by-step explanation:

oh apdiya I just wanted to let you

8 0

3 years ago

What is the difference?

Marianna [84]

Answer:

differense: 2983-293728

y 29372+3927288 +-+-+-+ 823828373973

3 0

3 years ago

A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width

otez555 [7]

The volume of a cylinder is the area of the base, times the height.
The area of the circular base is, of course, π times the square of its radius. 
So the volume of a cylinder, V, is 
V = π h r^2 
where h is the height and r is the radius. 

If we multiply the height by 3, the new height is 3h. 
If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. 
So the new volume would be 
π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 
which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. 

So the volume of the larger pool is 
27 * 37 cubic feet = 999 cubic feet [answer B] 

This is an instance of a general rule: 
If we multiply ALL the linear dimensions of an object by a factor F, 
while keeping the shape the same (often termed "similar" in geometry), 
that multiplies the volume by F^3 (the cube of F). 

It also multiplies the surface area by F^2. 

These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.

3 0

3 years ago

Help please!What is the x-intercept of the line?X=33 Y=-22X=52 Y=-33X=71 Y=-44

tekilochka [14]

x intercept is -5

Explanation

Step 1

find the slope of the line:

when you know 2 points of the line, you can find the slope, by using:

$\begin{gathered} \text{slope}=\frac{change\text{ in y}}{\text{change in x}}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}$

then,Let

P1(33,-22)

P2(52,-33)

replace,

$\begin{gathered} \text{slope}=\frac{change\text{ in y}}{\text{change in x}}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{-33-(-22)}{52-33}=\frac{-33+22}{19}=\frac{-11}{19} \\ \text{slope}=-\frac{11}{19} \end{gathered}$

Step 2

find the equation of the line

$y-y_1=slope(x-x_1)\rightarrow equation$

let

$\begin{gathered} \text{slope}=-\frac{11}{19} \\ P1(33,-22) \end{gathered}$

replace,

$\begin{gathered} y-y_1=slope(x-x_1)\rightarrow equation \\ y-(-22)=-\frac{11}{19}(x-33) \\ y+22=-\frac{11}{19}x+\frac{363}{19} \\ to\text{ isolate y, subtract 22 in both sides} \\ y+22-22=-\frac{11}{19}x+\frac{363}{19}-22 \\ y=-\frac{11}{19}x-\frac{55}{19}\rightarrow equation\text{ of the line} \end{gathered}$

now, we have the equation of the line, to get the x intercetp ( it is when y=0)

replace

$\begin{gathered} y=-\frac{11}{19}x-\frac{55}{19}\rightarrow equation\text{ of the line} \\ 0=-\frac{11}{19}x-\frac{55}{19} \\ \text{isolate x} \\ \frac{11}{19}x=-\frac{55}{19} \\ 11x=-\frac{55\cdot19}{19} \\ 11x=-55 \\ \text{divide both sides by 11} \\ \frac{11x}{11}=\frac{-55}{11} \\ x=-5 \end{gathered}$

so, the x intercetp is -5.

I hope this helps you

6 0

1 year ago

Use the following information to answer problem 10 and problem 11:

Airida [17]

I might be missing something here, but the picture doesn't show what number 10 & 11 are asking. sorry :/

7 0

3 years ago