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3 years ago

The function can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

Mathematics

2 answers:

MaRussiya [10]3 years ago

8 0

Correct answer: "the volume of the basketball when the radius is r"

The V(r) is a function: you give it the value of radius r, and it returns the volume V.

emmainna [20.7K]3 years ago

6 0

Answer:

The correct answer option is: the volume of the basketball when the radius is r.

Step-by-step explanation:

V(r) represents the volume of the basketball when its radius is r. So for any value for the radius of the basketball, its volume is going to vary accordingly.

Hence, we can say that the function V(r) is dependent on the variable r which is the radius of the basketball. Therefore, by putting in different values of r, we can find the corresponding value of the volume of the basketball.

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PLEASE HELP ME OUT..........

Vlad1618 [11]

Here is your answer

$\bold{x=12}$

REASON:

$Concept used$ : The opposite sides of a parallelogram are equal.

So, in above given figure

$3x+7=5x-17$ (measures of opposite sides)

$5x-3x= 17+7$

$2x= 24$

$x= 24/2$

$x= 12$

HOPE IT IS USEFUL

6 0

3 years ago

Read 2 more answers

What is the value of 3 + (-1/4)² ÷ 1/2? A. 6 1/8 B. 21 1/8 C. 7 D. 3 1/8

Amiraneli [1.4K]

3 + (-1/4)² ÷ 1/2
= 3 + 1/16 * 2
= 3 + 1/8
= 3 1/8

answer

D. 3 1/8

6 0

3 years ago

Lamaj is rides his bike over a piece of gum and continues riding his bike at a constant rate time = 1.25 seconds the game is at

Hitman42 [59]

Lamaj rides his bike over a piece of gum and continues riding his bike at a constant rate. At time = 1.25 seconds, the gum is at a maximum height above the ground and 1 second later the gum is on the ground again.

a. If the diameter of the wheel is 68 cm, write an equation that models the height of the gum in centimeters above the ground at any time, t, in seconds.

b. What is the height of the gum when Lamaj gets to the end of the block at t = 15.6 seconds?

c. When are the first and second times the gum reaches a height of 12 cm?

Answer:

Step-by-step explanation:

We are being told that:

Lamaj rides his bike over a piece of gum and continues riding his bike at a constant rate. This keeps the wheel of his bike in Simple Harmonic Motion and the Trigonometric equation that models the height of the gum in centimeters above the ground at any time, t, in seconds. can be written as:

$\mathbf {y = 34cos (\pi (t-1.25))+34}$

where;

y = is the height of the gum at a given time (t) seconds

34 = amplitude of the motion

the amplitude of the motion was obtained by finding the middle between the highest and lowest point on the cosine graph.

$\mathbf{ \pi}$ = the period of the graph

1.25 = maximum vertical height stretched by 1.25 m to the horizontal

b) From the equation derived above;

if we replace t with 1.56 seconds ; we can determine the height of the gum when Lamaj gets to the end of the block .

So;

$\mathbf {y = 34cos (\pi (15.6-1.25))+34}$

$\mathbf {y = 34cos (\pi (14.35))+34}$

$\mathbf {y = 34cos (45.08)+34}$

$\mathbf{y = 58.01}$

Thus, the gum is at 58.01 cm from the ground at t = 15.6 seconds.

When are the first and second times the gum reaches a height of 12 cm

This indicates the position of y; so y = 12 cm

From the same equation from (a); we have :

$\mathbf {y = 34 cos(\pi (t-1.25))+34}$

$\mathbf{12 = 34 cos ( \pi(t-1.25))+34}$

$\dfrac {12-34}{34} = cos (\pi(t-1.25))$

$\dfrac {-22}{34} = cos(\pi(t-1.25))$

$2.27 = (\pi (t-1.25)$

t = 2.72 seconds

Similarly, replacing cosine in the above equation with sine; we have:

$\mathbf {y = 34 sin (\pi (t-1.25))+34}$

$\mathbf{12 = 34 sin ( \pi(t-1.25))+34}$

$\dfrac {12-34}{34} = sin (\pi(t-1.25))$

$\dfrac {-22}{34} = sin (\pi(t-1.25))$

$-0.703 = (\pi(t-1.25))$

t = 2.527 seconds

Hence, the gum will reach 12 cm first at 2.527 sec and second time at 2.72 sec.

7 0

3 years ago

PLS HELP ILL GIVE BRAINLEIST !!!!!!

lana66690 [7]

Answer:

y=3x+2

Step-by-step explanation:

For a the equation is y=3x+2 because he makes 3 every hour (3x) and he already has 2 (+2).

For the graph you replace x with any number and solve. Plot the point.

Then you do it again but with a different x.

Finally you draw a straight line trough the 2 points.

6 0

3 years ago

What is the vertex of y<∣x−3∣+5

Tcecarenko [31]

Answer:

(3, 5)

Step-by-step explanation:

The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.

3 0

2 years ago