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morpeh [17]
2 years ago
7

The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10

Mathematics
1 answer:
elena-s [515]2 years ago
3 0

d \propto  v^2

$\implies d=kv^2$

substitute the given values, $5=k(10)^2\implies k=\frac1{20}$

now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$

A big blunder from my side, now fixed!

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To solve for c, you need to get c onto one side of the equation, or make it c=__. So what I would do first is subtract a/b from both sides

a/b + c = d/c

-a/b

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c = d/c-a/b

8 0
3 years ago
The negative sign in 15t-2t belongs to the term____?
alexdok [17]

The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

Solution:

Given expressions are 15t – 2t and 2t – 15t.

To determine 15t – 2t is equivalent to 2t – 15t or not.

Substitute t = 2 in above two expressions.

15t – 2t = 15(2) – 2(2)

            = 30 – 4

            = 26

2t – 15t = 2(2) – 15(2)

            = 4 – 30

            = –26

The values of the expressions are different when t = 2.

So, 15t – 2t is not equivalent to 2t – 15t.

Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

7 0
3 years ago
Suppose a jar contains 5 reds balls and 7 green balls. with eyes closed, you choose two balls at random, one after the other. wh
statuscvo [17]
The odds of getting a red first is 5/12. the odds of getting a green second is 7/11. the probability of both is then 5/12 * 7/11, or 35/132
6 0
2 years ago
Peter and John went shopping and spent money in the ratio 2 : 3 (a) If Peter spent 500 dollars, how much did John spend?
brilliants [131]

I think john spent 750 dollars but am not sure
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3 years ago
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Nady [450]
If the base is on the x-axis, the width of the rectangle is = xif the height is based on the parabola, the length = 7-x^2
the area of a rectangle = length * width
thus, area = x*(7-x^2)= 7x-x^3
in order to maximize the area, you would need to take the derivative of the area and set it equal to 0
Area = 7x-x^3Area' = 7 - 3x^2
7-3x^2 = 0thus, x = 1.5275
this x represents the x needed to create the largest possible area with the given parameters.
Thus:Width (x-axis) = 1.5275Length (y-axis) = 7 - (1.5275)^2 = 4.6667
5 0
3 years ago
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