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Yuki888 [10]
3 years ago
13

Whitney starts the engine on her small private airplane. The engine drives a propeller with a radius of 6.5 feet and its centerl

ine 10.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 850 revolutions per minute. The height of one propeller tip as a function of time is given by h = 10.5 + 6.5 sin(850t), where h is the height in feet and t is the time in minutes. Find h when t = 2 minutes
a. 4.1 ft
b. 9.4 ft
c. 16.9 ft
d. 11.6 ft
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0
To calculate time at t= 2 minutes. We substitute at t = 2. 
h = 10.5 + 6.5 sin(850t) 
h = 10.5 + 6.5 sin (850 * 2) 
h = 10.5 - 6.4012 = 4.1 feet 
Hence at time t = 2, height = 4.1 feet.
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Samantha is making soup. To make the broth, she combines 2/5 cup of veg stock and 2/3 cup of chicken stock. Boiling the broth ca
nlexa [21]
Okay so.
2/5=24/60 (multiply 2/5 by 12)
2/3=40/60 (multiply 2/3 by 20)
1/4=15/60 (multiply 1/4 by 15)
Then,
Add 24/60 with 40/60 which is 64/60 after you get that you subtract by 15/60 and you get 49/60.
Hope this helps!^^
5 0
2 years ago
If 3 to the power y = x then y = ?
Oksanka [162]

Answer:

y=\log_3(x)


Step-by-step explanation:

3^y=x

\ln(3^y)=\ln(x)

y\ln(3)=\ln(x)

y=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}

but if

f(x)=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}

then since

f(3)=\frac{\displaystyle\ln(3)}{\displaystyle\ln(3)}=1

f(x)=\log_3(x)

so

y=\log_3(x)


or


3^y=x

\log_3(3^y)=\log_3(x)

y\log_3(3)=\log_3(x)

\text{but }\,\log_3(3)=1, \text{so,}

y=\log_3(x)



6 0
2 years ago
I NEED HELPPPPP!!!! PLZZZ
iVinArrow [24]

Answer:

13.5

Step-by-step explanation:

4 0
2 years ago
An office manager estimates that she spends 40% of her 30-minute lunch
Elina [12.6K]

Answer:

answer = 12 min

Step-by-step explanation:

40% of 30 min = ?

10% of 30 min = 3

3*4 = 12

Thus, she spends 12 min of her 30 min lunch driving

P.S.

If the answer is wrong, then multiply it by two and retry

4 0
3 years ago
What is equivalent to 7^13/7^7
Deffense [45]

The equivalent expression to 7^13/7^7 would be 7^6.

<h3>What are equivalent expressions?</h3>

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We have given an expression as  7^13/7^7

The equivalent expression;

\dfrac{7^{13}}{7^7} \\\\7^{13-7}\\\\7^6

Hence, The equivalent expression to 7^13/7^7 would be 7^6.

Learn more about expression;

brainly.com/question/22246485

#SPJ1

3 0
2 years ago
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