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GREYUIT [131]
2 years ago
11

A carousel with a 40-foot diameter makes 3 revolutions per minute. (a) Find the angular speed of the carousel in radians per min

ute. (Round your answer to two decimal places.) 18.84 Incorrect: Your answer is incorrect. radians per minute (b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.) feet per minute
Mathematics
1 answer:
Katarina [22]2 years ago
8 0

Answer:

A). 18.84 radians per minute

B). 376.80 feet per minute

Step-by-step explanation:

As we know carousal is moving with 3 revolutions per minute.

(a). Angular speed = 3 revolutions per minute

                               = 3 × (2π) per minute

                               = 6π per minute

                               = 6×(3.14)

                               = 18.84 radians per minute

B). Since linear speed = Radius × Angular speed

                                     = \frac{40}{2}\times (18.84)

                                     = 20 × 18.84

                                      = 376.80 feet per minute

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In a factory, 3.25% of the jars of peanut butter produced contains less peanut butter than is advertised on the label. The facto
marshall27 [118]

Answer:

936 jars of peanut butter contain less peanut butter than usual.

Step-by-step explanation:

1. First, we need to find how many jars of peanut butter that contain less peanut butter than advertised are produced every hour.

The factory produces 1200 jars of peanut butter every hour

3.25% of those jars have less peanut butter than advertised

So: multiply (1200*.0325) (the decimal form of the percent) to find the amount of peanut butter jars that contain less peanut butter than advertised.

(1200*.0325) = 39

So the factory produces 39 jars of peanut butter that contain less peanut butter than advertised.

2. Second, we need to find how many jars of peanut butter that contain less peanut butter than advertised in three 8 hour work days.

Lets add these work days together to find the total amount of hours: (8 + 8 + 8) = 24

So: three 8 hour work days totals to 24 hours

Since the factory produces 39 jars of peanut butter that contain less peanut butter than advertised per hour. Multiply (24 * 39) to find the total amount of jars produced in three 8 hour work days.

(24 *39) = 936

A total of 936 peanut butter jars are produced in three 8 hour work days that contain less peanut butter than advertised.

3. If you want to double check your work do the following.

Since the factory produces 1200 jars an hour and 24 hours total three 8 hour work days. Multiply (1200*24) = 28800

So there is a total of 28800 jars produced in three 8 hour work days.

Then you can multiply 28800 by 3.25% of jars that contain less peanut butter to find the total amount of peanut butter jars that contain less peanut butter in three 8 hour work days.

(28800 * .0325) = 936

7 0
3 years ago
One of the problems with our current election system is??
12345 [234]

Answer:

Assuming you mean the US election a problem with our electron is the person who wins the most popular vote doesn't always win.

Why is this a problem?

We vote for who we want as a president as it should work, but then the most elected doesn't always become president. Almost like our votes do not matter and is very discouraging.

Hope this helps!

-Payshence


5 0
3 years ago
Given the following table, find the equation that matches it.​
bagirrra123 [75]

Answer:

The equation that matches the table is y = -5x + 7 ⇒ C

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The rule of the slope is m =  \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

From the given table

→ Choose any two points from the table

∵ Points (0, 7) and (1, 2) are in the table

∴ x1 = 0 and y1 = 7

∴ x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = \frac{2-7}{1-0}=\frac{-5}{1}

∴ m = -5

→ Substitute it in the form of the equation above

∵ y = -5x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = 7

∴ b = 7

∴ y = -5x + 7

∴ The equation that matches the table is y = -5x + 7

7 0
2 years ago
Larry has 7 basketball cards. Fred has four times as many. How many does Fred have?
xxTIMURxx [149]

Answer:

28

Step-by-step explanation:

7 x 4 = 28

:)

6 0
2 years ago
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