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Zielflug [23.3K]
3 years ago
6

① Determine the equation of the line

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

hi

Step-by-step explanation:

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The population of a city is expected to
Furkat [3]

\huge\boxed{1.0925p}

Since the population is going to increase by a certain percentage, we have to add 100\% to the percentage to keep the original population.

9.25\%+100\%=109.25\%

Now, convert the percentage into a decimal. You can do this by moving the decimal place two places to the left.

109.25\longrightarrow 1.0925

Now, just multiply that by p.

\large\boxed{1.0925p}

8 0
3 years ago
Mckenzie and Cara both tried to find the missing side of the right triangle.
LekaFEV [45]

Answer: Mckenzie is correct

<em>I had to reformat this section with the way it was typed, please let me know if I did anything wrong.</em>

<u>Mckenzie's Work</u>

a² + b² = c²

25 + 169 = c²

194 = c²

Square root 194 equals square root c squared.

c ≈ 13.93

<u>Cara's Work</u>

a² + b² = c²

25 + b² = 169

b² = 144

Square root b squared equals square root 144.

b ≈ 12

[] Right away we can tell that <u>Cara is not correct.</u>

-> Cara solves for b. We already have a b value, we need to solve for "c" in the equation.

[] Now let's look at Mckenzie.

-> Mckenzie does solve for the right variable, so let's see if she did it correctly.

-> First, she sets is up using a² + b² = c² since this is a right triangle. Next, she squares 5 to 25 and 13 to 169. Both correct.

-> Now they are added together. 25 + 169 do equal 194 so this looks correct.

-> Last, we square both sides. \sqrt{194} ≈ 13.928388 which rounds to 13.93, so it looks like <u>Mckenzie is correct</u>.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

4 0
3 years ago
You make $12 an hour, plus time and a half for each hour over 40 hours that you work in a week. How many hours do yo need to wor
kondor19780726 [428]

Answer:

47 hours

Step-by-step explanation:

[606 -(12×40)]/(1½×12) =

(606-480)/(18) =

126/18 = 7

the total working hours = 40+7 = 47 hours

6 0
3 years ago
Read 2 more answers
the increase in a persons body temperature T(t), above 98.6 degrees F, can be modeled by function T(t)=4t/t^2+1, t represents th
ehidna [41]
The horizontal asymptote is the limit of the temperature as time goes to infinity.

If we ignore the constant in the denominator, then
T = \frac{4t}{t^2} = \frac{4}{t}

And the limit as t-> infinity is 0
\lim_{t \to \infty} \frac{4}{t} = 0

This means the temperature will decrease over time approaching 98.6 in the long run.
4 0
3 years ago
Read 2 more answers
2.
Gnesinka [82]

Answer:

C. –x + 8y = 56

Step-by-step explanation:

Write in standard form.

x  −  8 y  =  − 56

This is a linear function in the slope - intercept form:

y = m x + b and we need a standard form:

a x + b y = c

y = 1/8 x + 7   / * 8 ( we will multiply both sides of equation by 8 )

8 y = x + 56

- x + 8 y = 56  / * ( - 1 )

x - 8 y = - 56

The equation is  y = 1/8x + 7

Standard form equation is Ax + By = C,  where A > = 0.

First eliminate the fractions by multiplying the equation by 8

8y = x + 56

Subtract x from each side

-x + 8y = 56

SInce x coeficient can't be negative multiply the equation by negative one.

x - 8y = -56

4 0
3 years ago
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