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Vikentia [17]
3 years ago
5

Help with this problem

Mathematics
2 answers:
snow_tiger [21]3 years ago
5 0
Table a is a function
mihalych1998 [28]3 years ago
4 0
I think it's table C
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A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of
anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt  = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25)  = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0
3 years ago
HELP ASAP
vovangra [49]

Answer:

  • See below and the attachment

Step-by-step explanation:

<em>Refer to attached graph.</em>

<em>It i</em>ncludes the points and a best fit line produced by a graphing calculator.

  • 17. The scatter plot is attached
  • 18. There is a positive slope. Number of field goal attempts increase as minutes played increase.
  • 19. The point is plotted: 2500 minutes gives about 880 field goal attempts.

4 0
3 years ago
Find the missing value in each figure below. What does “y” equal?
finlep [7]

Answer:

Step-by-step explanation:

The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45

The angle in the right triangle is given as 52.

The cos(52) = adjacent side (which we just found to be 6) / y

Multiply both sides by y

y cos(52) = 6

cos(52) = 0.6157

Divide by sides by cos(52)

y = 6 / cos(52)

y = 6 / 0.6157

y = 9.76

8 0
3 years ago
If 18 inches is equal to 1 1/2, how many feet long is a 36-inch board?
Illusion [34]
36 inches is equal to 3 feet ;)
8 0
3 years ago
17 divided by 476 partial quotients
zimovet [89]
.0357142857 and in fraction form its 1/28
8 0
3 years ago
Read 2 more answers
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