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MA_775_DIABLO [31]
2 years ago
10

A 90 k g shopper is standing on an escalator that makes a 25 ∘ incline with the horizontal. The escalator carries the shopper to

the next floor, a height 30 m above ground level, at a constant speed. Calculate the work that the escalator does on the shopper.
Mathematics
1 answer:
Nitella [24]2 years ago
8 0

Answer:

W= 27 k J

Step-by-step explanation:

Given that

mass ,m = 90 kg

Height , h= 30 m

angle , θ = 25°

The work done by escalator is given as follows

W  = m g h

Work done by escalator does not depends on the angle ,it depends only on  height.

Now by by putting the values in the above equation we get

W= 90 x 10 x 30 J            ( take g = 10 m/s² )

W= 27000 J

W= 27 k J

Therefore work done by escalator will be 27 k J.

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Marcus earned $54,000 last year when the Social Security tax was 6.2% of income up to $94,200. His Medicare tax was 1.45%. How m
AysviL [449]

Answer

Social security tax amount = $3348

Medicare tax amount = $743

Step by step explanation

The amount earned by Marcus = $54000

Social security tax = 6.2% = 6.2/100 = 0.062

Social security tax amount = 54000*0.062

Social security tax amount = $3348

Medicare tax = 1.45% = 1.45/100 = 0.0145

Medicare tax amount = 54000*0.0145

Medicare tax amount = $743

Hope this will help you.

6 0
2 years ago
Read 2 more answers
What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot + 2 x squared StartRoot 6
makvit [3.9K]

Answer:

D

Step-by-step explanation:

(4x√5x^2 +2x^2√6)^2 

remove the last ^2 by multiplying the parenthesis by each other:

(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)

 use FOIL & distribute :

4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)

apply the distributive property once more:

4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)

remove parenthesis and combine like terms to get:

104x^4+16x^4√30

 answer is D

4 0
2 years ago
Read 2 more answers
A professor wants to determine information about the Internet usage of middle school students in one state. A sample of 500 boys
zlopas [31]
The answer is A because a sample of 500 boys and girls from middle schools across the state represents the population.
4 0
2 years ago
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Identify two numbers less than 20 with the most factors
Anastaziya [24]

<u>Answer</u>

18 and 12


<u>Explanation</u>

Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.

Odd number have few factors so the can't be the answer.

WE are going to try the even numbers.

18 ⇒ 18, 9, 6, 3, 2, 1

16 ⇒ 16, 8, 4, 2, 1

12 ⇒ 12, 6, 4, 3, 2, 1

10 ⇒ 10, 5, 2, 1

Other number less than 10 has factors less than 5.

It can be seen from above that 18 and 12 have the most factors.

3 0
2 years ago
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A ferry will safely accommodate 68 tons of passenger cars. Assume that the mean weight of a passenger car is 1.8 tons with stand
nika2105 [10]

Answer:

P (Z

Step-by-step explanation:

We want the probability that the 35 cars are loaded onto the ferry. Therefore:

Since  

μ=1.8  and  σ=0.5  we have:

P(X<35 )=P ( X−μ<35−1.8 )=P((X−μ)/σ<(35−1.8)/0.5)

Since  

(x−μ)/σ=Z and  

(35-1.8)/0.5=66.4

we have:

P (X

Use the standard normal table to conclude that:

P (Z

7 0
2 years ago
Read 2 more answers
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