The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?
360π
720π
21,600π
43,200π

Answers

Answer 1

Answer:

i think c 21600pi

Step-by-step explanation:

Answer 2

Answer:

C. 21600π

Step-by-step explanation:


Related Questions


Two numbers, both greater than 23, have HCF 23 and LCM 644. The sum of the numbers is:

Answers

Answer: 253

Step-by-step explanation:

First, we have two numbers A and B.

We know that all numbers can be written as a product of prime numbers.

And the HCF of A and B is 23

Then we can write:

A = 23*a

B = 23*b

(remember that 23 is a prime number)

Where a and b are larger than 1.

Now we know that the least common multiple between them is 644.

Notice that the primes that conform a can not be the same as the ones for b, because in that case, the HCF would not be 23.

Now to find a and b we can compute:

644/23 = 28.

28 = a*b

Now let's write 28 as a product of prime numbers:

a*b = 28 = 4*7 = 2*2*7

Then we can define:

a = 2*2

b = 7.

Our two numbers are:

A = 23*2*2 = 92

B = 23*7 = 161

A + B = 92 + 161 = 253

The sum of the two numbers would be:

253

Assume the two numbers be [tex]x[/tex] and [tex]y[/tex]

Given that,

HCF of [tex]x[/tex] and [tex]y[/tex] = 23

so,

The numbers could be written as:

23[tex]x[/tex] and 23[tex]y[/tex]

We know that,

LCM of 23[tex]x[/tex] and 23[tex]y[/tex] = 644

We also know that,

LCM × HCF = The product of two numbers

644 × 23 = 23[tex]x[/tex] × 23[tex]y[/tex]

So, by solving them we get;

14812/529 = [tex]x[/tex] × [tex]y[/tex]

[tex]x[/tex] × [tex]y[/tex] = 28

If we prime factorize 28, we get

28 = 2 × 2 × 7

This gives us,

[tex]x =[/tex]23 × 2 × 2 = 92

[tex]y =[/tex] 23 × 7 = 161

Thus, the sum of the two numbers = 92 + 161 = 253

Learn more about "HCF" here:

brainly.com/question/13070189

write down two prime numbers that have a sum of 32​

Answers

Answer:

3 and 29

OR

13 and 19

Step-by-step explanation:

3+29=32

OR

13+19=32

Note: Prime numbers are those that can only be divided by one or itself!

Jill can run 20 miles in
three hours at a steady
rate. How many minutes
will it take her to run
five miles?

Answers

Answer:

45 minutes

Step-by-step explanation:

Change 3 hours to minutes

1 hours = 60 minutes

3 hours = 180 minutes

Using proportions

20 miles          5 miles

-------------   = ----------------

180 minutes      x minutes

Using cross products

20x = 5* 180

20x =900

Divide each side by 20

20x/20x = 900/20

x =45

45 minutes

Answer: 45 minutes

Step-by-step explanation: 20 miles in 180 minutes, 5 miles is 1/4 of 20 miles so you divide 180 by 4 which gives you 45

HELP ASAP!!!WILL GIVE BRANLIST

Answers

Answer:

See photo below

I hope this helps!

Answer:

you see the top u take a line and put it right through the 2 top coners and put a line there.

Step-by-step explanation:

What does “is” mean in math

Answers

Answer:

Multiplication

I hope this helps!

Jake purchased 3 games for $11.80 each and 1 magazine for $12.95. What is the total amount Jake spent?

Answers

Answer:

$48.35

Step-by-step explanation:

$11.80 × 3 = $35.40$35.40 + $12.95 = $48.35

I hope this helps!

Is 4x + 9 equivalent to 2(2x+5) -1?

Answers

Answer: Yes!

Step-by-step explanation:

1. So you have: 4x+9 and 2(2x+5)-1

2. Simplify the 2nd expression: 2(2x+5) -1 = 4x + 10 - 1 = 4x+9

4x+9 = 4x+9

Answer:

Yes

Step-by-step explanation:

Set them equal to each other to see. If they are, then you should come out with the answer 0 = 0.

4x + 9 = 2(2x + 5) - 1

4x + 9 = 4x + 10 - 1

0 = 0

20 + 3 (7 + 4) + 5 + 2 (7 + 9)

Answers

Answer:

90

Step-by-step explanation:

i did the math hope this helps you out

What is the value of the fraction below?
0
26
O A. O
B. Undefined

Answers

Where’s the fraction?

y=3ab+2b to the 3rd power

Answers

Answer:

27a^3b^3 + 8b^3

Step-by-step explanation:

because

what is the measure of an angle that is linear pair with 10 degrees

Answers

Answer:

170 degree bcause 180 -10 = 170 ( linear pair )

Answer:

170 degree bcause 180 -10 = 170 ( linear pair )

Step-by-step explanation:

(100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.)

Answers

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Our max here is at 1, and the minimum is at - 5

The distance between the x-axis and these points are 1 and 5. 5 + 1/2 = 6/2 = 3, our amplitude. But let's double check. Our middle point is - 2 so...

- 5 - (- 2) = - 5 + 2 = - 3

The amplitude is rather - 3.

f(x) = Acos(Bx + C) + D

Using this we know B = 0, D = - 2 (the middle point), C = 0, and A = - 3 (amplitude). B = 0, and C = 0, as there is no horizontal/vertical shift

f(x) = Acos(Bx + C) + D

f(x) = - 3cosx + (- 2)

f(x) = - 3cosx - 2

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Just Answered on A P E X Practice Assignment

y = 7x^3 - 4x^2 + 3x - 12
find the domain step plz

Answers

Answer:

The domain is -oo < x < oo or (-oo,oo)

Step-by-step explanation:

Sometimes it helps if you draw this out on a number line or graph the equation! :)

Domain is how far x goes. As in this case x is infinite both ways.

Which of the following is a situation in which a quadratic equation cannot be
solved using the quadratic formula?

Answers

Answer:

the a

Step-by-step explanation:

zzzzz

The sum of 2 numbers is 25. The sum of their reciprocals os 1/4. Determine the two numbers.

Answers

Answer:

5, and 20

Step-by-step explanation:

5+20=25

reciprocal of 5 is 1/5 and reciprocal of 20 is 1/20 so 1/5=4/20 and 4/20 + 1/20 = 5/20. 5/20 = 1/4

You are rock climbing and descending a cliff at a rate of 9 feet per minute. The cliff is about 360 feet high. How long until you are at a height of 234 feet?
How long until you are halfway down the cliff?

Answers

In 14 minutes your at 234 feet.
In 20 minutes your at 180, which is halfway down the mountain.

Write a number in the blank that makes this number sentence true.

43 + 29 = ___ + 60

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

In New York the temperature was -4 Fahrenheit in the morning if the temperature dropped eight Fahrenheit what is the temperature now

Answers

Answer:

-12 Fahrenheit.

Step-by-step explanation:

Write the inequality.
A number k plus 5 is greater than or equal to
8.
Ak +5> 8
k+5 <8
k+5 <8
k+528

Answers

Last one.
Think of the > sign as a crocodile wanting the bigger (greater) number. “Or equal to” just add a line below it

M
(
x
)
=
log
(
x
0.001
)
M
(
x
)
=
log
(
x
0.001
)

Answers

Answer:

0

Step-by-step explanation:

why my bawls itch so much its annoying

Answers

Answer:

is this a joke

Step-by-step explanation:

Answer:

scrath

Step-by-step explanation:

reach down. give itch, happ.y

Helppppppppppppppppp

Answers

The answer is C.

Hope this helps! :))
The answer is 3x+15= 51

Or answer C !!!

A government might try to reduce unemployment in order to:
A. Allow businesses to invest money more freely.
B. set limits on its own economic growth.
C. keep inflation from rising too quickly
D. make sure its people can find jobs
If you get it correct will give brainly

Answers

Answer:

Make sure people can find jobs

Step-by-step explanation:

Answer: D, Make sure it’s people can Find job’s.

Step-by-step explanation: it’s the Answer I just did the quiz.

will the quotient of 5 divided by 7/8 be greater than or less than 5? explain

Answers

Answer:

7/8 x 5/1 = 35. 35/8= 4.375 is less than 5

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

If you divide 5 by 7/8, you will get 40/7. Convert to a decimal to compare, and you will see that 5<5.7

Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat three meals a day?

Answers

Answer:

1

Step-by-step explanation:

Answer:

3t + 5 = 32

and

3t+ 2 = 20

Step-by-step explanation:

i got it right :)

When do you use the divergence test, comparison test, p test, geometric, integral, comparison, limit comparison, and alternating series?

Answers

Step-by-step explanation:

Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.

If lim(n→∞) an ≠ 0, then an diverges.

(Note this only tests divergence, not convergence.)

P Test: use this when the series is a p-series.

For an = 1 / nᵖ, if p > 1, then the series converges.  Otherwise, it diverges.

Geometric Test: use this when the series is a geometric series.

For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges.  Otherwise, it diverges.

Integral Test: use this when the sequence can be easily integrated.

If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.

If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.

Comparison Test: use this when a sequence is similar to a p-series or a geometric series.

If bn > an and bn converges, then an converges.

If bn < an and bn diverges, then an diverges.

Otherwise, inconclusive.

Limit Comparison Test: use this when comparison test is inconclusive.

If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.

Alternating Series Test: use this when the series is alternating.  This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.

If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.

(Notice this only tests for convergence, not divergence.)

I WILL GIVE BRAINLIEST HELPPP
1. 3/10 = 12/50 true or false
2. 1/2=6/12 true or false
3.5/6=10/12 true or false
4.5/7=15/21 True or false
5.3/8=6/15 true or false
PLeASE HELP

Answers

Answer:

1. False

2. True

3. True

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. False   3/10 x 5 = 15/50 not 12/50

2. True    1/2 x 2 = 6/12

3. True    5/6 x 2 = 10/12

4. True    5/7 x 3 = 15/21

5. False   3/8 x 2 = 6/16 not 6/15

Will give brainliest and thanks and please explain

Answers

Answer:

(65-5) / 2.5 = d

Step-by-step explanation:

100% sure

Answer:

d=65/2-5

26days

Step-by-step explanation:


Complete the statements.

8.703 dekagrams =_____
kilograms
100.3
_____= 10.03 hectometers
909.9
_____= 90,990 centiliters

Answers

Step-by-step explanation:

1. 0.08703 killograms

2. Decameters

3. Liters

Answer:1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).

Answers

Answer:

10x+23 (pretty sure) and the * means multiply

Step-by-step explanation:

[tex]12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23[/tex]

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