Mathematics High School

Kahleela starts the engine on her small private airplane. The engine drives a propeller with a radius of 8.5 feet and its centerline 11.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 800 revolutions per minute. The height of one propeller tip as a function of time is given by h = 11.5 + 8.5 sin(800t), where h is the height in feet and t is the time in minutes. Find h when t = 5.5 minutes.

Answers

Answer 1

Answer:

a=21.1

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

Or, you can use the correct equation, or just your knowledge of revolutions:

h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.

Answer 2

Answer:

A. 3.1 feet is the answer i believe.........

Step-by-step explanation:

Related Questions

Write a function in terms of t that represents the situation.
Sales of $10,000 increase by 65% each year.
y =
13

Answers

Answer:

A function in terms of t that represents the situation is:

[tex]\:y\:=\:10,000\left(1.65\right)^t[/tex]

Step-by-step explanation:

We know that the exponential growth function is of the form

[tex]y\:=\:a\:\left(1\:+\:r\right)^t[/tex]

Here:

a = initial value r = growth rate t = number of time intervals that have passed

As the sales of $10,000 represent an initial condition. Thus,

a = 10,000

Given that sales are increased by 65% every year.

r = 65% = 0.65

now substituting a = 10,000 and r = 0.65 in the function

[tex]y\:=\:10,000\left(1\:+\:0.65\right)^t[/tex]

[tex]\:y\:=\:10,000\left(1.65\right)^t[/tex]

Therefore, a function in terms of t that represents the situation is:

[tex]\:y\:=\:10,000\left(1.65\right)^t[/tex]

Write the equation, in point-slope form, that contains the point (3, -6) with a slope of 2.

Answers

Answer:

y+6=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=2(x-3)

y+6=2(x-3)

Simplify the following expression.
1/2+ 1/10 = ?
А: 1/6
B:1/5
C.3/5
D:3/10
PLEASE ANSWER THIS QUESTION FAST

Answers

Answer: C: 3/5

Step-by-step explanation:

1/2 is equal to 5/10

so 5/10+1/10= 6/10

6/10 can simplify to 3/5

The Flightless Folly ship has 20 pirates aboard. 12 of those pirates wear an eye patch. What percentage of pirates wear an eye patch on the Flightless Folly?

Answers

Answer:

60%

Step-by-step explanation:

12/20 is equal to 60/100 which gives you 60%

In 2p

, 2 is known as

Answers

Answer:

the variable

Step-by-step explanation:

A variable is a quantity that may change within the context of a mathematical problem or experiment. for example

coefficient->2p<-variable

How does x = 0.7x + 24 equal 80?

Answers

Answer:

x=0.7x+24

We move all terms to the left:

x-(0.7x+24)=0

We get rid of parentheses

x-0.7x-24=0

We add all the numbers together, and all the variables

0.3x-24=0

We move all terms containing x to the left, all other terms to the right

0.3x=24

x=24/0.3

x=80

And that's how you get 80

Step-by-step explanation:

i hope this helps. :)

Answer: x = 80

Step-by-step explanation:

80 - 24 = 56

56 divided by 0.7 = 80

HELP PLS ASAP

-5 = 5/12a pls evaluate

Answers

Answer:

a = -12

Remember that when a variable is times with a number, you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you. Thank you !!

PLEASE HELP ITS TIMED!
Order from least to greatest -0.3, -1.1, 2, -0.9, and 0.4

Answers

Answer:-1.1, -0.9, -0.3, 0.4, 2

Step-by-step explanation:

Hope this helps.

A shark can swim at an average speed of 25 miles per hour. At this rate, how far can a shark swim in 2.5 hours?

Answers

Answer:

62.5 miles in 2.5 hours

Hope this helped.

2) A bag contains some red, blue and
yellow balls. 30% of the balls are
blue and 40% are red.
If there are 50 balls in the bag,
how many are yellow?
Show work and make an equivalent equation

Answers

25% were in the bag .

There is 25% in the bag

hey can someone help:)?

Answers

I think it’s the first one

I’ll give you bee syrup and brainliest if you help

Answers

Answer:

61.27 cm

Step-by-step explanation:

(3.14)(11)(0.5) = 17.27

2+2+20+9+11+17.27 = 61.27

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

X=5

Step-by-step explanation:

Trust me bro also it because if you input 5 into x you wille see that 3(5)+2=17

Answer:

X=5

Step-by-step explanation:

we must isolate x

subtract 2 from 3x+2=17

3x=15

divide 15 and 3x by 3

x=5

If ABCD is a square, what is m

Answers

Answer:

I think m is the length of ABCD Square

Find the value of x such that the data set has the given mean
100, 123, 105, 115, 110, x; mean 120

x=

Answers

The formula for mean is

all numbers added / how many numbers there are

Counting x, we have 6 terms.

(100 + 123 + 105 + 115 + 110 + x) / 6 = 120

Get rid of the denominator by multiplying 120 times 6.

100 + 123 + 105 + 115 + 110 + x = 720

Now, subtract everything on the left from 720 and isolate x.

100 + 123 + 105 + 115 + 110 = 553

720 - 553 = 167

x = 167

X is equal to 167 I think

heyeyeyey yall! How are yall?

Answers

Answer:

im good hbu

Step-by-step explanation:

Answer:

im good :)

Step-by-step explanation:

What is a producer? (Think about the word autotrophs

Answers

Answer:

A producer is an animal that produces its own food. An example of a producer is a plant like a tree. They take the suns energy and convert it to chemical energy which benefits them.

Step-by-step explanation:

13^-4/13^4=13^0

True of False

Answers

I think false but I’m not sure

A point P(8, 6) is reflected across the y axis what are its new coordinates?

Answers

Answer:

(-8, 6)

Step-by-step explanation:

The formula for reflecting a point across the y-axis is (x, y) → (-x, y).

Substitute: (8, 6) → (-8,6)

I hope this helped! :)

A quart of milk costs $1.89. What is the total cost for 20 quarts of milk?

Answers

To do this problem, you have to multiply the number of one quart of milk by twenty to get the total cost. So, you would do 1.89 x 20, which equals 37.8. So, the total cost would be $37.80 :)

Hellllppp meee please due in 10 mins

Answers

3/2 is the slope as your answer

Answer:

-3/2

Step-by-step explanation:

please i need help asap!!!!

Answers

Step-by-step explanation:

[tex] {b}^{2} = {16}^{2} + {12}^{2} \\ {b}^{2} = 256 + 144 \\ b = 20[/tex]

Find the value of each variable pls help for #10!!!

Answers

Remember that all triangles add up to 180. The triangle has congruent markings, therefore our equation will look like this:

11x-65+11x-65+29=180
Combine like terms.
22x-101=180
Add 101 to both sides.
22x = 281
Divide both sides by 22.
x = 12.77

Mike has $40, which is $6 more than twice the amount of money that Karly has. How much money does Karly have?

Answers

Answer:

karly has 68 dollars

Step-by-step explanation:

40-6=34

34×2=68

Evaluate each expression

P + 8 when P = 6
show ya work

Answers

Answer:umm so with my super jimmy neutron powers the answer is 14 because since P = 6 the equation turns into 6 + 8=14

as the number of comics increases, the cost___

Answers

Answer:

As the number of comics Increases the cost increases

Answer:

increases.

Step-by-step explanation:

The line is climbing higher, and it means that the copies of comics are being sold more and the prices are becoming higher.

Hope this helps!! Have an amazing day ^^

What is the perimeter of the figure shown below?

Answers

Answer:

D. 6x-14

Step-by-step explanation:

So first we would do 3x^2+3x^2-5x^2

That would all cancel out so that would be 0.

Next we would do 3x-4x+7x, this would equal to 6x

Finally we would do -4-8-2, this would be equal to -14

Then the equation would be 6x-14

All you have to do is combine like terms.

Hope this helped!

Is this an function or not an function?

Answers

Answer:

A function

Step-by-step explanation:

The ONLY rule needed for a relationship to be a function is there is only ONE output for every input.

It is a function because there is only one output for every input.

Hope this helps :)

Let me know if there are any mistakes!!

5.4 = -t/5.5 solve for t

Answers

Answer:

t=−29.7

Step-by-step explanation:

Find the solution to the following system of linear
equations by using the substitution method.
y = 4x -4
X+ y = 11

Answers

Step-by-step explanation:

[tex]y = 4x - 4 \\ x + y = 11 \\ x + 4x - 4 = 11 \\ 5x = 15 \\ x = 3 \\ y = 4 \times 3 - 4 \\ y = 8[/tex]

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The boy throve and grew big, and when he was too heavy for his nurse to carry, a chair was made for him on little wheels, in which he could wander through the palace gardens without help; at other times he was carried about on a litter, and he was always carefully watched and guarded for fear he should at any time put his feet to the ground. But as this sort of life was bad for his health, the doctors ordered him horse exercise, and he soon became a first-rate rider, and used to go out for long excursions on horseback, accompanied always by his father's stud-groom and a numerous retinue. Every day he rode through the neighboring fields and woods, and always returned home in the evening safe and well. In this way many years passed, and the Prince grew to manhood, and hardly anyone remembered the Queen's warning, though precautions were still taken, more from use and wont than for any other reason. One day the Prince and his suite went out for a ride in a wood where his father sometimes held a hunt. Their way led through a stream whose banks were overgrown with thick brushwood. Just as the horsemen were about to ford the river, a hare, startled by the sound of the horses' hoofs, started up from the grass and ran towards the thicket. The young Prince pursued the little creature, and had almost overtaken it, when the girth of his saddle suddenly broke in two and he fell heavily to the ground. No sooner had his foot touched the earth t han he disappeared before the eyes of the horrified courtiers. They sought for him far and near, but all in vain, and they were forced to recognize the power of the evil Fairy. . . . Hardly had the Prince touched the ground than he felt himself violently seized by an unseen power, and hurried away he knew not whither. A whole new world stretched out before him, quite unlike the one he had left. A splendid castle surrounded by a huge lake was the abode of the Fairy, and the only approach to it was over a bridge of clouds. On the other side of the lake high mountains rose up, and dark woods stretched along the banks; over all hung a thick mist, and deep silence reigned everywhere. No sooner had the Fairy reached her own domain than she made herself visible, and turning to the Prince she told him that unless he obeyed all her commands down to the minutest detail he would be severely punished. Then she gave him an axe made of glass, and bade him cross the bridge of clouds and go into the wood beyond and cut down all the trees there before sunset. At the same time she cautioned him with many angry words against speaking to a girl he would most likely meet in the wood. The Prince listened to her words meekly, and when she had finished took up the glass axe and set out for the forest. 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