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8090 [49]
2 years ago
8

Plssssss help fast!!!!Launching From a Tower

Mathematics
1 answer:
aleksandrvk [35]2 years ago
6 0

Answer:

A. h = 64

B.  t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

  = -16(t^2 - 3t -  4)

 = -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

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James receives a pay increase of 100% per month and has a starting salary of $500.

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An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the rate of pay increase and a represent the initial pay.

Let us assume that he had received 128000 after the 8 months. hence:

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Also in the 10th month, he had received 512000, hence:

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From the both equations:

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4 0
2 years ago
Rachel fills 13 water bottles per hour. Alyssa fills 15 bottle of water per hour. This week Alyssa filled an additional 5 bottle
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3 0
3 years ago
A basketball player has made 6060​% of his foul shots during the season. Assume the shots are independent. ​
motikmotik

Answer:

a) 2.5 shots

b) 59.4 shots

c) 4.87 shots

Step-by-step explanation:

Probability of making the shot = 0.6

Probability of missing the shot = 0.4

a) The expected number of shots until the player misses is given by:

E(X) = \frac{1}{P(X)}=\frac{1}{0.4}  \\E(X) = 2.5\ shots

The expected number of shots until the first miss is 2.5

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E=99*0.6\\E=59.4\ shots

He is expected to make 59.4 shots

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3 years ago
G(x) = -2x -9 what is g(-7)?
tresset_1 [31]

Answer:

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Step-by-step explanation:

Step 1: Define

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g(-7) is x = -7

Step 2: Substitute and Evaluate

g(-7) = -2(-7) - 9

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g(-7) = 5

4 0
3 years ago
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Answer:

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