$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-1)}}}\implies \cfrac{6}{0+1}\implies 6$

4 0

3 years ago

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The last rest area you spent $3.25 on water bottles, $11.00 on snacks, and $4.00 on a magazine, and gave the cashier $20.00 How

photoshop1234 [79]

Answer:

You spent 18.25, and got 1.75 in change

Step-by-step explanation:

3.25 + 11 + 4 = 18.25

20.00 - 18.25 = 1.75

6 0

3 years ago

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

3 years ago

If the cost of a dozen eggs rises from .99 to 1.34 what is the percent of the increase

Amiraneli [1.4K]

To find the percent of increase get the difference between the prices and then divided by the oringinal price and then time that by 100

increase = $\frac{1.34 - .99}{.99} \times 100$

8 0

3 years ago

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder​

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder