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mylen [45]
2 years ago
11

A flare is designed to follow the path modeled by the function h(t) = –16t2 + 100t, where t is the time elapsed, in seconds, and

h(t) is the height, in feet, of the flare at that time. The function can be used to convert the height in feet to the height in meters.
Which composite function can be used to determine the height, in meters, of the flare at any given time?

Mathematics
1 answer:
gogolik [260]2 years ago
4 0

Answer: The answer is D. P(t) = - 16t^2 + 100t / 3.2808

Step-by-step explanation:

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Alina [70]

Answer:

(a) see attachment

(b) E(x) = 226/105

Step-by-step explanation: see attachment

7 0
3 years ago
Find the surface area of the square pyramid 8mm 6mm
bija089 [108]

Answer:

136 mm²

Step-by-step explanation:

A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}

A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}

A=36 +12\sqrt{\frac{36 }{4} } +64

A=36 +12\sqrt{9 } +64

A=36 +12(3)+64

A=36 +36+64

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5 0
3 years ago
9^4x=81? I need to solve this math problem nd idk how to
Marina CMI [18]
9^{4x}=81\\
9^{4x}=9^2\\
4x=2\\
x=\dfrac{2}{4}=\dfrac{1}{2}
6 0
3 years ago
Read 2 more answers
Please help logarithms!
nlexa [21]

Given:

\log_34\approx 1.262

\log_37\approx 1.771

To find:

The value of \log_3\left(\dfrac{4}{49}\right).

Solution:

We have,

\log_34\approx 1.262

\log_37\approx 1.771

Using properties of log, we get

\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349      \left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]

\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2      

\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37          [\log x^n=n\log x]

Substitute \log_34\approx 1.262 and \log_37\approx 1.771.

\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)

\log_3\left(\dfrac{4}{49}\right)=1.262-3.542

\log_3\left(\dfrac{4}{49}\right)=-2.28

Therefore, the value of \log_3\left(\dfrac{4}{49}\right) is -2.28.

5 0
2 years ago
Fernando had 20 minutes to do a three-problem quiz. He spent 10 9/10 minutes on question A and 5 3/5 minutes on question B. How
katrin2010 [14]

Answer:

1.65 minutes

Step-by-step explanation:

10 9/10 + 5 3/5 = 16 1/2

16 1/2 divided by 20 = 1.65 or 33/20

4 0
2 years ago
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