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dusya [7]
3 years ago
6

A wheel whose radius is 50 centimeters completes 6 radians in 1 seconds. What is the linear speed of a point on the rim of the w

heel? Convert your answer to meters per second (m/s).
Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

3m/seconds

Step-by-step explanation:

In this problem we are required to solve for linear speed of the rotating wheel

The linear speed =angular speed x raduis

Given data

Radius r= 50cm

Converting from cm to m

50/100= 0.5m

Angular velocity w= 6rad/s

V=wr

V= 6*0.5m

V=3m/s

The linear speed is 3m/seconds

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The right answer is “The classroom has 5,180 seats “
3 0
3 years ago
Wet N' Dry camp provides water-based activities and ground sports activities for a
wolverine [178]

Answer:

  1. x+y≤80; x≥8; y≥5
  2. see attached for a graph
  3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.

Step-by-step explanation:

1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.

  x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated

  x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based

  y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based

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2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.

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3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.

5 0
3 years ago
A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation A pizza delivery company buys
zubka84 [21]

Answer:

z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028

z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441

An we can use the normal standard table and the following difference and we got this result:

P(-1.028

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

\mu = 34 represent the mean

\sigma= 5 represent the deviation

We have a sample size of n = 54 and we want to find this probability:

P(33.3 < \bar X< 34.3)

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})

And we can use the z score formula given by:

z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028

z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441

An we can use the normal standard table and the following difference and we got this result:

P(-1.028

7 0
3 years ago
Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal ex
ratelena [41]
First you must find the rate of both taxes. Since its 8% and 6%, you must add them both together, then divide them by 100. 

14/100 = .14

Then for both rates you must add 1 because it is a tax increase.

1 + .14 = 1.14

Finally times 37.50 with 1.14

37.50(1.14) = <span>42.75
</span>
<span>$42.75 is the answer.</span>

 
7 0
3 years ago
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What is the GCF of 36 and 84
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The greatest common factor( GCF) of 36 and 84 is 12.
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