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harkovskaia [24]
3 years ago
10

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

1,041.9feet

Step-by-step explanation:

Given the height of the rocket expressed as

y = -16x² + 245x + 104

At maximum height, dy/dx = 0

dy/dx = -32x+245

0 = -32x+245

32x = 245

x = 245/32

x = 7.65625

Get the maximum height

Recall that;

y = -16x² + 245x + 104

Substitute the value of x;

y = -16(7.65625)² + 245(7.65625) + 104

y = -937.890625 + 1,875.78125 + 104

y = 1,041.890625feet

Hcne the maximum height to the nearest foot is 1,041.9feet

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Please answer this correctly
aleksklad [387]

Answer:

63.2 = y

Step-by-step explanation:

The perimeter is the sum of all the sides

P = 7.8+ y+37.6 + y

171.8 = 7.8+ y+37.6 + y

Combine like terms

171.8 = 45.4 + 2y

Subtract 45.4 from both sides

171.8-45.4 = 45.4 + 2y -45.4

126.4 = 2y

Divide each side by 2

126.4/2 = 2y/2

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6 0
3 years ago
the function h(t)=-16t^2+110t+72 models the height h, in feet, of an object above ground t seconds after being launched straight
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Answer:

The initial height of an object above ground before being launched straight up in the air

Step-by-step explanation:

we have

h(t)=-16t^{2}+110t+72

we know that

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The y-intercept is the value of y when the value of x is equal to zero

In this problem

The value of h when the value of t is zero

Therefore

The initial height of an object above ground before being launched straight up in the air

7 0
3 years ago
In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how ma
Angelina_Jolie [31]
The answer is 5,7000
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Select the end behavior of the exponential function shown in the graph
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The x graph

Step-by-step explanation:

The x graph

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3 years ago
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The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that current
stellarik [79]

Answer:

Population after 4 years = 49 (nearest unit)

Population after 5 years  = 47 (nearest unit)

Step-by-step explanation:

Yearly decrease = 4.6%

Decrease factor (what's left) = (100-4.6)% = 0.954

Current population, P = 60

population after n years = P(0.954)^n  (to the nearest unit)

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