A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. if the carousel is 23 feet in diameter, how fast must the boy run to match the speed of the carousel and jump on?

a. 2.68 feet per second
b. 1,011.59 feet per second
c. 33.72 feet per second
d. 16.86 feet per second

Answers

Answer 1

Answer:

16.86 ft/s

Step-by-step explanation:

Given that,

Angular speed of a carousel, [tex]\omega=14\ rev/min[/tex]

The diameter of the carousel, d = 23 feet

We need to find the speed of the carousel and jump on.

[tex]\omega=14\ rev/min=1.46\ rad/s[/tex]

Radius, r = 11.5 feet

Let v is the velocity. So,

[tex]v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s[/tex]

Hernce, the correct option is (d) "16.86 ft/s"


Related Questions

The graph represents the cooling curve of ethyl alcohol. Determine the boiling point of ethyl alcohol.
A) 75°C
B) 78°C
C) 80°C
D) 90°C

Answers

Answer:

B

Step-by-step explanation:

The values in the table represent the graph of a continuous function. Which interval must contain an x-intercept? x y –3.1 –1.85 –2.7 –0.84 –2.3 –0.09 –1.9 0.44 –1.5 0.79 –1.1 1.00 –0.7 1.10 –0.3 1.13 0.1 1.13 –3.1 < x < –2.7 –2.3 < x < –1.9 –1.5 < x < –1.1 –0.3 < x < 0.1

Answers

Given:

The values in the table represent the graph of a continuous function.

To find:

The interval that must contain an x-intercept.

Solution:

From the given table it is clear that, initially y-values are negative but after negative values we get y=0.44 at x=-1.9.

This signs of y-value are different, it means the graph of continuous function must contain an x-intercept in the interval -2.3 < x < -1.9.

Therefore, the correct option is B.

Answer:

Its , -2.3 < x < -1.9

Step-by-step explanation:

Edge 2020

is this correct give explanation please thanks WILL GIVE BRAINLIEST

Answers

Answer:

I think you are correct because if you just divide both by 3, you would get that answer!

Step-by-step explanation:

-2+2-0-2=?
can someone explain the answer for this​

Answers

-2 + 2 = 0

0 - 0 = 0

0 - 2 = -2

Hope this helps and ha e a nice day!!!

Answer:

-2

Step-by-step explanation:

-2 is two less than 0. if you add 2 to this, you get 0. if you take away 0 from 0, it is still 0. if you take away two from 0, you get -2. so the answer is -2

16/20 as a decimal?

Answers

0.8 because 16/20 is reduced to 4/5

Find the slope of the line through the given points.
(8,0) and (10, 10)

Answers

Slope (y2-y1)/(x2-x1)
(10-0)/(10-8) = 10/2 = 5
The slope is 5

Sarah mailed her computer to Store B for repairs. Her bill was:

Initial Repair Cost = $1,350

Sales Tax of 7 percent = $94.50

Total Cost of Computer Repair = $1,444.50

Shipping = 2 percent of Total Cost

Which expression would you use to find the shipping cost?
0.2($1,350)
0.2($1,444.50)
0.02($1,350)
0.02($1,444.50)

Answers

Answer:

0.02 (1444.50)

Step-by-step explanation:

Answer:0.02(1444.50)

Step-by-step:

to figure out the shipping cost we would just multiply the shipping percent by the total cost of the computer. however we cant leave the '2 percent' as it is we would have to multiply it by 100. giving us .02 which we can then use to multiply

explain how (-3) x (-3) = 9 using coupons as the real world example

Answers

Answer:

a negative multiplied by a negative is always a positive

Step-by-step explanation:

so, -3 x -3 =9

If you use two coupons that are each for $3 off, you will have saves a total of 9 dollars... hope this helped

what is ─2c – 2 = ─3c – 8 solved for the variable?

Answers

Answer:

c = -6

Step-by-step explanation:

C is your variable

-2c - 2 = -3c - 8

+3c              +2

1c = c       -8 +2 = -6

c = -6

:)

-2c-2=-3c-8

Add 3c to both sides

-2x+3c-2=-8

Simplify

C-2=-8

Add 2 to both sides

C=-8+2

Simplify

C=-6

12. A drawer contains 2 red socks, 6 white socks,
and 4 blue socks. Without looking, you draw out a
sock, return it, and draw out a second sock. What
is the probability that the first sock is blue and the
second sock is red?

Answers

Answer:

Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Step-by-step explanation:

Number of red socks = 2

Number of white socks = 6

Number of blue socks = 4

Total socks in drawer = 2+6+4 = 12

The formula used to calculate probability is: [tex]Probability=\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ outcomes}[/tex]

We are given you draw out a  sock, return it, and draw out a second sock.

We need to find the probability that the first sock is blue and the  second sock is red?

Using formula:

Probability that first sock is blue = 4/12 = 1/3 = 0.33

Probability that second sock is red = 2/12 = 1/6 = 0.16

So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

BRAINLY FOR WHO EVER ANSWERS FIRST PLS GIVE THE RIGHT ANSWER

Answers

Answer:

See attached

Step-by-step explanation:

Table F shows the proportional relationship: y = 2x

Plotted points and a line connecting them is attached

P (odd I greater than 3)

Answers

Ответы 5,7,9,11
Если расчитывать

The cost of a pound of nails increased from ​$2.17 to ​$2.52. What is the percent of increase to the nearest​ whole-number percent?

Answers

Answer:

16%  is the percent of increase to the nearest​ whole-number percent.

Step-by-step explanation:

As the cost of a pound of nails increased from ​$2.17 to ​$2.52.

$2.52 - $2.17 = $0.35

so dividing the 0.35 by 2.17 would give us the percetange of increase

0.35/2.17 = 0.16 which is 16%.

Therefore, 16%  is the percent of increase to the nearest​ whole-number percent.

Latoya finished her English assignment in 1/2 hours. Then she completed her history assignment in 2/3 hours. How much more time did Latoya spend on her history assignment?

Answers

1/6 more hours. Because 1/2 and 2/3 are equal to 3/6 and 4/6. Then you subtract and get 1/6

The time Latoya spend on completing her history assignment is given by the equation A = 1/6 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The time for Latoya to complete her English assignment = 1/2 hours

The time for Latoya to complete her History assignment = 2/3 hours

So , the difference in time = extra time for Latoya to complete history assignment

Substituting the values in the equation , we get

The difference in time A = ( 2/3 ) - ( 1/2 )

The difference in time A = ( 4 - 3 ) / 6

The difference in time A = 1/6 hours

Hence , the equation is A = 1/6 hours

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Does anybody know the answer to this math question I’m lost

Answers

Answer:

x-7

Step-by-step explanation:

mark is shopping during a computers store 20% sale. He wants to buy computers in the range of $500 to $1000. how much are the computers after 20%

Answers

It's £2000    ( don't have the us money sign sorry )

The cost of computer($1000) after sale is $800.

Given that, a computers store 20% sale. He wants to buy computers in the range of $500 to $1000.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

If cost of computer is $500

Then, 20% of 500 = 0.2×500

= $100

So, after sale the cost of computer is 500-100=$400

Similarly, for other cost as well

If cost of computer is $1000

Then, 20% of 1000 = 0.2×1000

= $200

So, after sale the cost of computer is 1000-200=$800

Therefore, the cost of computer($1000) after sale is $800.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Given m|n, find the value of x.

Answers

x=82

it adds up to 180 so (x+6)+(x+10)=180

What is the solution to this equation?
6x +4= 4x– 2
X=

Answers

Answer:

-3

Step-by-step explanation:

Answer:

I'm not positive but i thank -3

Step-by-step explanation:

I might be rong

Please solve this problem 2(x+1)=2x-3

Answers

Answer:

1

Step-by-step explanation:

2(x+1)=2x-32x+2=2x-3-2        -2x0x=11

Answer:

no solution

Step-by-step explanation:

distrubute the 2

2x + 1 = 2x -3

subtract the 2x's and you get 1 = -3 which is not true so there is no answer

Look at the cups shown below (images are not drawn to scale): A cone is shown with width 3 inches and height 6 inches, and a cylinder is shown with width 3 inches and height 5 inches How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth. 18.8 cubic inches 21.2 cubic inches 28.2 cubic inches 49.5 cubic inches

Answers

Answer:

cup B can hold 21.2  cubic in more than cup A when theyre both full, so the answer is cup B.

Step-by-step explanation:


Mrs. Miner bought a 25 ounce smoothies that has 450
calories. How many calories does the smoothie have per
ounce? Pls help me.

Answers

Answer:

18

Step-by-step explanation:

450/25=18

18
450 divided by 25

PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think soup B if i get it wrong sry

Step-by-step explanation:

Answer:

Soup A

Step-by-step explanation:

154 = 11x14

so 7x14 = 98 (answer for soup a ratio table)

154=14x11

for soup b: 6x11 = 66 (answer for soup b ratio table)

soup A has more sodium per cups because it has 98 grams for 154 cups while B only has 66 gram for 154 cups

PLEASE HELP
1.6x-(x-2.8)=(0.2x+1.5)-0.7

Solve for x

Answers

The answer is

1.6x-(x-2.8)=(0.2x+1.5)-0.7

1.5-0.7

1.6x-(x-2.8)=0.2x+0.8

1.6x-x

0.6x+2.8=0.2x+0.8

2.8-2.8 0.8-2.8

0.6x=0.2x-2

0.6x-0.2x 0.2x-0.2x

0.4x=-2

0.4x/0.4 -2/0.4

X=-5

Find the midpoint of the line segment with the given endpoints: (6, -5) and (2, 1) *

Answers

Midpoint = sum of x and y, divide by 2
Sum of x: 6 + 2 = 8/2 = 4
Sum of y: -5 + 1 = -4/2 = -2
The mid point is (4,-2)

What is the prime factorization of 41

Answers

The number 41 has a prime factorization of 1 × 41. The only numbers that divide into 41 evenly are 1 and 41. Therefore, 41 is a prime number.

enter the value of x. the diagram is not to scale

Answers

Answer:

Sorry i cant help

Step-by-step explanation:

A rectangle with area 55 square inches has a length that is four less than three times the width.

Answers

Answer:

the length is 11

the width is 5

Step-by-step explanation:

5 times is 15 and 11 is 4 less than 15 :)

Assume that emergency medical personnel in California are planning for future resources and it has been observed that the average number of traffic accidents requiring ambulance assistance on the Hollywood Freeway between 7 and 8 AM on Wednesday mornings is 1.1. What, then, is the probability that there need for exactly 2 ambulances on the Freeway during that time slot on any given Wednesday morning?

Answers

Answer:

Answer is 0.5

Step-by-step explanation:

The text implies that the number of traffic accidents determines the number of ambulances required on the road. Hence, 1 traffic accident requires 1 ambulance.

The time slot and time of day remain same in both the text and the question.

The average or mean number of accidents is 1.1

QUESTION: What then is the probability that there is need for exactly 2 ambulances on that road and in that time frame?

In other words, what is the probability that there'll be 2 accidents on that road and in that time frame?

Since the mean number of accidents is 1.1,  2 is above the mean.

Probability of 1.1 accidents is 1, since that's the mean (expected value).

Probability of 2 accidents is 1/2 which is = 0.5

81^x=3 what are the same bases on both sides of the equation

Answers

81 = 3⁴, so

81ˣ = 3

(3⁴)ˣ = 3

3⁴ˣ = 3¹

which means

4x = 1

x = 1/4

Given: M ≅ X
N ≅ Y
YO ≅ NZ
Prove: △MNO ≅ △XYZ

Answers

Answer:

Δ MNO ≅ ΔXYZ ⇒ proved down

Step-by-step explanation:

Cases of congruency

SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ  SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ  ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ  AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ  HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ  

Let us solve the question using the 4th rule above

YZ = YO + OZ

NO = NZ + ZO

∵ OZ = ZO ⇒ from the figure

∵ YO ≅ NZ ⇒ given

YZ NO

In Δs MNO and XYZ

∵ ∠M ≅ ∠X ⇒ given

∵ ∠N ≅ ∠Y ⇒ given

∵ NO ≅ YZ ⇒ proved

→ By using the AAS postulate of congruency.

Δ MNO ≅ ΔXYZ  

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