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Anit [1.1K]
3 years ago
5

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

Step-by-step explanation:

(2,2) ; (0,-3)

Rise = -3 -2 = -5

Run = 0 - 2 = -2

Slope =rise /run = -5/-2 = 5/2

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(a) A fire station is to be located along a road of length A, A&lt;
Marrrta [24]

Answer:

Answer in picture attached

Step-by-step explanation:

6 0
3 years ago
Madison used 4 pears and 12 apples to make a fruit salad. What is the ratio of the
kobusy [5.1K]
The answer is 4

So the ratio would be 12/4
Then u simplify into 4/1 ( I divided each number by 4)
7 0
3 years ago
A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia
katrin [286]
The answer is 150 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:
141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04

Logarithm both sides of the equation:
ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16
A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000

Thus, the population will be nearly 150 million in 2016
7 0
4 years ago
Question 19 (5 points) ✔ Saved
zheka24 [161]

The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

According to the statement

we have given that the some values of the temperatures and we have to write it in the order from the coolest to the warmest means in increasing order.

So, For this purpose,

The given values of temperatures are:

3°C , -7°C , 2°F, 262 K

Firstly convert into one form

So, convert all values in Celsius form,

3°C = 3°C

-7°C = -7°C

2°F = -16.7°C

262 K = -11.15°C

Now arrange into the order from coolest to warmest

So, it will become

-16.7°C > -11.15°C > -7°C > 3°C

So, -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

Learn about the increasing order here

brainly.com/question/14662181

#SPJ1

7 0
1 year ago
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