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1 year ago

Solve the inequality -8r < 32. 8x < 32 on both sides. the inequality.

Mathematics

1 answer:

Basile [38]1 year ago

7 0

Answer:

r > -4

x < 4

Step-by-step explanation:

-8r < 32

r > -4

8x < 32

x < 4

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Which number line represents the solutions to |x - 2|= 6?

Alexeev081 [22]

Answer:8 and -4

Step-by-step explanation:

[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4

4 0

2 years ago

The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. Th

Yanka [14]

Answer:

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

$\text{population}(t) = \text{population}(0)*(1 + \frac{r}{100})^t$

For the city of Anvil:

$\text{population anvil}(t) = 21000*(1.04)^t$

For the city of Brinker:

$\text{population brinker}(t) = 7000*(1.05)^t$

We need to find the value of "t" that satisfies:

$\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24$

They'll reach the same population in approximately 113.24 years.

4 0

3 years ago

HELP ON HOMEWORK PLS

Akimi4 [234]

Answer:

∠LPN = 57°

Step-by-step explanation:

arc LMN = 360° - 102° - 144° = 114°

∠LPN = 114°/2 = 57°

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2 years ago

Ostrovityanka [42]

Answer:

110÷360×π×4.6^(2)= 20.312

Step-by-step explanation:

Area of sector = angle / 360 x π x r^(2)

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2 years ago

Help me solve this problem

dem82 [27]

Answer:

Step-by-step explanation:

y ÷ 3(4 - 2) + 5.5

= y ÷ 3(2) + 5.5

= y ÷ 6 + 5.5

= y/6 + 5.5

= (y + 33)/6

6 0

3 years ago