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makkiz [27]
3 years ago
5

Write a function describing the relationship of the given variables.

Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:

The function describing the relationship of V and t is V = 3t²

Step-by-step explanation:

* Lets explain the meaning of direct variation

- The direct variation is a mathematical relationship between two

  variables that can be expressed by an equation in which one

  variable is equal to a constant times the other

- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the

 constant of variation

* Now lets solve the problem

# V is varies directly with the square  of t

- Change the statement above to a mathematical relation

∴ V ∝ t²

- Chang the relation to a function by using a constant k

∴ V = kt²

- To find the value of the constant of variation k substitute V and t

 by the given values

∵ t = 6 when V = 108

∵ V = kt²

∴ 108 = k(6)² ⇒ simplify the power 2

∴ 108 = 36k ⇒ divide both sides by 36 to find the value of k

∴ 3 = k

- The value of the constant of variation is 3

∴ The function describing the relationship of V and t is V = 3t²

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7nadin3 [17]

Answer:

Hi! The answer to your question is 1. 7/6 and 2. 1/2

Step-by-step explanation:

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3 0
3 years ago
A line passes through (−1, 7) and (2, 10).
Pachacha [2.7K]
The slope m of a line through points A(x_1, y_1) and B(x_2, y_2)  is given by :<span>

\displaystyle{m = \frac{y_2-y_1}{x_2-x_1}&#10;



Thus, the slope of the line passing through points </span><span>(−1, 7) and (2, 10) is 

</span>\displaystyle{m= \frac{10-7}{2-(-1)}= \frac{3}{3}=1
<span>

The equation of a line with slope m passing through a point P(a, b) is given by
                                        (y-b)=m(x-a).


We can consider any of the points (-1, 7), or (2, 10). Let's choose (2, 10):

                                        y-10=1(x-2)
                                        y-10=x-2
                                           y-x=-2+10
                                           y-x=8
                                       

  Answer: </span><span>C. −x+y=8</span>
7 0
3 years ago
What is the perimeter of a rectangle whose length is M cm and width is 2 cm​
Setler79 [48]

Answer:

2m plus 4

Step-by-step explanation:

mx2=2m

2x2=4

2m plus 4 = 2m plus 4

My plus button isnt working sorry

4 0
3 years ago
CLASSWORK: #1 WRITE YOUR ANSWER ON PAPER.
morpeh [17]

y+y-x

5+5-6

10-6

4

(2+y)=6     (is there suppose to be a "z" anywhere?)

(2+6)=6

(hj - h)

(3(6) - 3)

(36 - 3)

33

x+y+y

5+2+2

7+2

9

6 0
3 years ago
Plz do this i will mark you brainlist and thats for 70 points!!!!​
My name is Ann [436]

Answer:

First find the circumference of both wheels

C = pi d

Large wheel = 3.14 * 60

                     = 188.4

Small wheel = 3.14 * 18

                     = 56.52

Divide them both with divide 600 by the circumference

Large wheel = 600/188.4 = 3.18 or <em>3 rotations</em>

Small wheel = 600/56.52 = 10.61 or <em>11 rotations</em>

<em>b. 2 large wheels. This is because you can cover more distance with large wheels that small wheels. Large wheels are also worth the energy.</em>

<em />

<u><em>Hope this helps</em></u>

8 0
3 years ago
Read 2 more answers
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