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mr_godi [17]
3 years ago
14

1

Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer:

d = 10/72

Step-by-step explanation:

c and d vary inversely

c = k/d

Where,

k = constant of proportionality

d = 2/9 when c = 5

c = k/d

5 = k ÷ 2/9

5 = k × 9/2

5 = 9k/2

Cross product

5*2 = 9k

10 = 9k

k = 10/9

c = k/d

c = 10/9 ÷ d

c = 10/9 × 1/d

c = 10/9d

find d when c = 8

c = 10/9d

8 = 10/9d

Cross product

8*9d = 10

72d = 10

d = 10/72

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Use the Venn diagram to calculate probabilities
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From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

\mathbb P(A\cap B)=\dfrac6{35}

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Read 2 more answers
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6 0
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A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the tim
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The function H(t) = -16t^2 + 64t exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists -16t^2 + 64t = 0

Factor t(-16t + 64) = 0

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-16t + 64 = 0

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Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

<h3>How to estimate the axis of symmetry?</h3>

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

H(t) = -16(2^2) + 64(2)

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

To learn more axis of symmetry refers to:

brainly.com/question/21191648

#SPJ4

8 0
1 year ago
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