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LekaFEV [45]
4 years ago
15

A wheel is rotating at 3 radians/sec, and the wheel has a 42-inch diameter. To the nearest foot per minute, what is the linear s

peed of a point on the rim?
Mathematics
1 answer:
Yuki888 [10]4 years ago
3 0

A point on the rim would travel a distance equal to the circumference of the wheel. The wheel has diameter 42 in, so the circumference is 42π in.

2π radians corresponds to one complete revolution of the wheel. So the wheel has a linear speed of

(3 rad/s) * (42π/2π in/rad) = 63 in/s

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Evaluate |-6| + 3|4| + |-5| - 0 × 6.<br><br> 0<br> 18<br> 23<br> 25
kow [346]

Answer:

23

Step-by-step explanation:

8 0
3 years ago
An article reported that in a large study carried out in the state of New York, approximately 60% of the study subjects lived wi
DerKrebs [107]

Answer:

95.86%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 0.6, \sigma = \sqrt{\frac{p(1-p)}{n}} = 0.0245

P(0.55 \leq x \leq 0.65

This probability is the pvalue of Z when X = 0.65 subtracted by the pvalue of Z when X = 0.55. So

X = 0.65

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.65 - 0.6}{0.0245}

Z = 2.04

Z = 2.04 has a pvalue of 0.9793

X = 0.55

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.55 - 0.6}{0.0245}

Z = -2.04

Z = -2.04 has a pvalue of 0.0207

So this probability is 0.9793 - 0.0207 = 0.9586 = 95.86%.

5 0
3 years ago
7) In 2019, Skylar sold an apartment building for $144,000 cash and a $1,440,000 note due in two years. Skylar's cost of the pro
Ivan

Answer:

(a) he total realized gain is $1,123,200.

(b) § 1250 gain realized in 2019 is, $276,480.

(c) The § 1231 gain realized in 2019 is, $77040.

Step-by-step explanation:

(a)

Compute Skylar's total realized gain under the installment sales method as follows:

Cash Received = $144,000

Note Receivable = $1,440,000

Total Selling Price = Cash Received + Note Receivable

                               = $144,000 + $1,440,000

                               = $1,584,000

Cost of Property = $1,152,000

Deducted Depreciation = $691,200

Adjusted Bias = Cost of Property - Deducted Depreciation

                       = $1,152,000 - $691,200

                       = $460,800

Total Realized Gain = Total Selling Price - Adjusted Bias

                                 = $1,584,000 - $460,800

                                 = $1,123,200

Thus, the total realized gain is $1,123,200.

(b)

§ 1250 gain will be same as the amount of depreciation that was in excess of the straight-line amount.

Thus, § 1250 gain realized in 2019 is, $276,480.

(c)

Total Realized Gain = $1,123,200

§ 1250 gain realized in 2019 = $276,480

§ 1231 gain = Total Realized Gain - § 1250 gain realized in 2019

                  = $1,123,200 - $276,480

                  = $846,720

The total selling price was, $1,584,000.

Compute the percentage of § 1231 gain of the selling price as follows:

§ \text{ 1231 gain}\%=\frac{846,720}{1,584,000}\times 100=53.45455\%\approx 53.5\%

Thus, 53.5% of the cash received will be the § 1231 gain.

§ 1231 gain realized in 2019 = $144,000 × 53.5% = $77,040.

Thus, the § 1231 gain realized in 2019 is, $77040.

7 0
3 years ago
Hannah has $3.10 in her piggy bank in nickels and quarters. If there are 22 coins in her piggy bank, how many are nickels and ho
PIT_PIT [208]

Answer:

12\ nickel

10\ quarter

Step-by-step explanation:

we know that

1\ nickel=\$0.05

1\ quarter=\$0.25

Let

x------> the number of nickel coins

y-----> the number of quarter coins

we know that

x+y=22

x=22-y -----> equation A

0.05x+0.25y=3.10 ----> multiply by 100 both sides

5x+25y=310 -----> equation B

Substitute equation A in equation B and solve for y

5(22-y)+25y=310

110y-5y+25y=310

20y=310-110

20y=200

y=10\ quarter

x=22-y  ------> x=22-10=12\ nickel

7 0
3 years ago
What information is needed to find the surface area and volume of a rectangular prism?
vesna_86 [32]
Formulas for a rectangular prism:
Volume of Rectangular Prism : V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular
Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)
8 0
3 years ago
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