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Dennis_Churaev [7]
3 years ago
10

The population of a town after t years is represented by the function f(t)=7,248(0.983)t.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0
The answer is a number that can be written as a ratio of two integers.  The answer is C.
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A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 in
Galina-37 [17]

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

A = 5 inches

Solving for B

B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

C = 27 inches

Therefore, the lengths of the 3 pieces =

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

4 0
3 years ago
A professor grades students on three tests, four quizzes, and a final examination. Each test counts as two quizzes and
Vlad1618 [11]

Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.

<h3>What is the weighed mean?</h3>

The weighed mean is given by the <u>sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights</u>.

In this problem, the weights are as follows:

  • A quiz has a weight of 1.
  • A test has a weight of 2.
  • The final examination has a weight of 4.

Hence, her weighed mean is given as follows:

M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6

Mara's average for the course was of 68.6.

More can be learned about the weighed mean formula at brainly.com/question/24398353

5 0
2 years ago
The shape has an area of 60 square inches. Find the value of x.
Fantom [35]

Answer:

x = 5 In.

Step-by-step explanation:

The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.

That would give you 5 which makes x equal to 5 inches.

6 0
3 years ago
Read 2 more answers
What is the product?
cupoosta [38]

Answer:

The first one, 10 15 20

                      45 -5 -35

                      55 25 -15

Step-by-step explanation:

7 0
3 years ago
F(x)=-5x+8<br><br> What value of x would make f(x)=23?<br><br><br> Need Answers ASAP
EastWind [94]

Answer:

-3

Step-by-step explanation:

23=-5x+8

23-8=-5x

15=-5x

x=-3

7 0
3 years ago
Read 2 more answers
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