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Masja [62]
2 years ago
7

The population of Champaign, Illinois is given for three years in the table below:

Mathematics
1 answer:
Crazy boy [7]2 years ago
4 0

Answer:

See below

Step-by-step explanation:

a) <u>Using the first two lines to get the equation:</u>

Since t = 0 represents a start point, the y-intercept is 163488

<u>Slope is:</u>

  • (168392 - 163488)/10 = 490.4

<u>And the equation:</u>

  • P(t) = 490.4(t - 1970) + 163488

b) Prediction of the population in 2012 using the function:

  • P(2012) = 490.4(2012 - 1970) + 163488 = 184084.8

As we see the number we got is less than the one on the line 3 of the table. So the model underestimated the actual population.

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tensa zangetsu [6.8K]

Answer:

80, every 5 percent is 4 people. So every 25% is 20. 20 x 4 is 80.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
what is the prime factorization of 55^5 x 65 x 9^15 and why? A. 3^15 * 5^6 *11^5*13 B. 3^30 *5^6 *11^5 *13 C.3^30 * 5^6 *11 * 13
leonid [27]

Answer:

B

Step-by-step explanation:

1. Lets focus on 55^5

55^5 = 11^5 * 5^5

2. now on 65

65 = 5 * 13

3. now on 9^15

9^15=(3^2)^15 = 3^30

4. combine all three parts

11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30

so our answer is B

7 0
3 years ago
What is the surface area?
Ratling [72]
The formula for the surface area of a rectangular prism is

A= 2(wl+hl+hw)

We are given the height =2cm, width= 5cm, and length= 10cm. All you have to do is plug this info in!

A= 2(wl+hl+hw)
= 2[(5)(10)+(2)(10)+(2)(5)]
= 2(50+20+10)
= 2(80)
=160 cm squared

Hope this helps!! :)
4 0
3 years ago
The art club has a goal to raise at least $500 by selling paintings to the student body for $15 each. They have already spent $7
natali 33 [55]

Answer:

15x - 70 = 500

Step-by-step explanation:

3 0
3 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
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