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Goryan [66]
2 years ago
8

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

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> 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

<u>case C)</u> 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}

<u>case D)</u> 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<br>h-k=2<br>can u guys please help me
katen-ka-za [31]
Hi, hope this helps :)

8 0
3 years ago
Solve:<br> 4 - 10x &gt;-21<br> 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
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