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3 years ago

11

.48 divided by 9.23 rounded to the nearest tenth

1 answer:

V125BC [204]3 years ago

6 0

Answer:

0.1

Step-by-step explanation:

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A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential

aliina [53]

Let t=number of years since 1991.
Then
P(t)=147 e^(kt) ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.

6 0

4 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

3 years ago

For what values of x is the rational expression below undefined? Cheack all that apply x+8 over x2- 2x- 24

Nimfa-mama [501]

2 times because 2 times is like 2time 8=16

8 0

3 years ago

Read 2 more answers

Mr. James stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the groun

kozerog [31]

Answer:

42 m above the ground

Step-by-step explanation:

4 0

3 years ago

I need help please??!!!

Svetradugi [14.3K]

Hello there! This statement is TRUE.

The question is asking you if it is true that 11 - 4 is greater than 4 + 2. To get an answer, Solve both of the problems.

11 - 4 = 7.

4 + 2 = 6.

So, is 7 greater than 6? Yes, it is greater than 6 by 1. This means the answer is true. I hope this was helpful and have a great rest of your day!

4 0

3 years ago