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2 years ago

Determine whether the following graph represents a function.

Mathematics

1 answer:

Nata [24]2 years ago

5 0

Answer:

yes

Step-by-step explanation:

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The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 130lb and 1

Vlad [161]

Answer: 0.4758

Step-by-step explanation:

Given : Mean : $\mu=137\text{ lb}$

Standard deviation : $\sigma =28.9\text{ lb}$

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x=130 lb .

$z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24$

For x=171lb.

$z=\dfrac{171-137}{28.9}=1.1764705\approx1.18$

The p-value = $P(-0.24$

$=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758$

Hence, the required probability : 0.4758

6 0

3 years ago

3h-k=10 h-k=2 can u guys please help me

katen-ka-za [31]

Hi, hope this helps :)

8 0

3 years ago

Solve: 4 - 10x >-21 and aranh the

Luden [163]

Answer:

$x < \frac{5}{2}$

Step-by-step explanation:

$4 - 10x > -21$

$-10x > -25\\\\x > \frac{-25}{-10} \\\\x > \frac{5}{2}$

8 0

3 years ago

HELP PLEASE I NEED A ANSWER ASAP

nata0808 [166]

Answer:

5x+6+48+81=180°

5x+135=180

5x=45

x=9

Step-by-step explanation:

I HOPE it will help you

8 0

3 years ago

Read 2 more answers