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Verdich [7]
1 year ago
11

A particular rocket taking off from the earth surface uses fuel at a constant rate of 12.5 gallons per minute the rocket initial

ly contains 225 gallons of fuel determine a linear model and Y equals X plus B form for the amount of fuel Y as a function of the number of minutes x at the rocket has burned
Mathematics
1 answer:
faltersainse [42]1 year ago
3 0

Answer:

y=12.5x+225

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the amount of fuel in gallons

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope

b is the y-intercept or initial value

we have that

The unit rate or slope is equal to

m=12.5\ \frac{gal}{min}

b=225\ gal ----> initial value (value of y when the value of x is equal to zero)

substitute

y=12.5x+225

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Slope intercept form is y=mx+b
 So we're solving the equation in the question for y.
First, we subtract 6x from both sides to get

2y<-46-6x. Then we divide both sides by 2 to get y alone.
Then the answer will be y<-46÷2 -6x÷2
 FInal answer = y< -23-3x or y<-3x-23
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Write a expression that shows 3 times the sixth power of 10
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(10 raised to the power of 6)×3     

(10*6) ×3
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Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The
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The question is incorrect.

The correct question is:

Three TAs are grading a final exam.

There are a total of 60 exams to grade.

(c) Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The TAs grade at different rates, so the first TA will grade 25 exams, the second TA will grade 20 exams and the third TA will grade 15 exams. How many ways are there to distribute the exams?

Answer: 60!/(25!20!15!)

Step-by-step explanation:

The number of ways of arranging n unlike objects in a line is n! that is ‘n factorial’

n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1

The number of ways of arranging n objects where p of one type are alike, q of a second type are alike, r of a third type are alike is given as:

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Therefore,

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6 0
1 year ago
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A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre
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Answer:

SD = 7588.09

Step-by-step explanation:

Check the distribution table attached to for the step by step solution:

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