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Elodia [21]
3 years ago
6

Which conversion factors are used to multiply to 18cm/ s to get meters per minute?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Remark

The short answer is you multiply 0.6 times the cm/s to get m/min.

Solve

Though you didn't ask for it, here's the way it is done. Notice that each set of brackets cancels the units of a set of brackets to the left of the set of brackets you are observing. This is called unit analysis. The answer is given below.

\frac{18 cm}{sec} *[\frac{60 cm}{1 min}] * [\frac{1 m}{100 cm}] = 18*0.6\frac{m}{min}=10.8\frac{m}{min}

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Rylee earns $5,4000 in her first year of teaching and earns a 3% increase in each successive year. Write a geometric series form
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Answer: $1387800

Step-by-step explanation:

This is an sum of Arithmetic Progression with the formula

Sum of nth term

Sn = n/2( a + l ) --------------- 1

where l = a + ( n - 1 )d -------2

Now put (2) in 1

Sn = n/2{( a + a + (n - 1)d}

= n/2{( 2a + ( n -1 )d}

From the question

a = $5,4000 ( firs term )

d = 3% of $5,4000 ( common difference ), n = 20 years. Solution to question one therefore is.

First find 3% of $54000 = $1620, so the geometric series is

Sn = n/2{(2a + ( n - 1 )d

Second solution is substitution,

Sn. = 20/2 {(2 x 54000 + (20 -1)1620)}

= 10{ 108000 + 19 x 1620}

= 10{ 108000 + 30780 }

= 10{ 138780 }

= 1387800

Therefore, the total emoluments of Rylee for the past 20 years

= $1387800

8 0
3 years ago
Education researchers are interested in the workload expectations of freshmen at a local university. Since all of the freshmen a
Olegator [25]

Answer: Cluster Sampling

Step-by-step explanation: I just took this test and got it correct :)

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3 years ago
Factor completely 2x2 − 50.
Ede4ka [16]

Answer:

(B) 2(x+5)(x−5)

Explanation:

Factor 2x²−50

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3 0
3 years ago
Read 2 more answers
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Solve for x. 1.1x + 1.2x - 5.4 = -10
Andru [333]

Answer:

x ≈  - 1.83

Step-by-step explanation:

to solve for x in the question 1.1x + 1.2x - 5.4 = -10

we have

2.3x - 5.4 = -10

collect the like terms

2.3x = -10 + 5.4

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divide both sides by the coefficient of x

2.3x/2.3 = -4.2/2.3

x = -1.826

x ≈  - 1.83

4 0
3 years ago
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