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3 years ago

I need all the steps

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

Step-by-step explanation:

$(9-\sqrt{-8} )- (5 + \sqrt{-32} ) \\(9-5) + (-\sqrt{-8}- \sqrt{-32} )\\4 - \sqrt{-8} -\sqrt{-32} \\4-2i\sqrt{2} -4i\sqrt{2} \\4-6i\sqrt{2}$

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2. Delia and Beto left for school at the same time.

Tema [17]

Answer:

Beto will get to the school first.

Step-by-step explanation:

We are given that Delia lives 3/4 mile from school and walks at a pace of

16 minutes per mile.

So Delia takes $\frac{3}{4} \times 16 =$ 12 minutes to reach school.

While Beto lives 3 1/2 miles from school and bikes at a pace of 3 minutes per mile.

So Beto takes $\frac{7}{2} \times 3 =$ 10.5 minutes to reach school.

Therefore, Beto will get to the school first.

5 0

3 years ago

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

8 0

3 years ago

3 What is 27x + 8 ——————- 3x-2

marissa [1.9K]

Answer:

34 Step-by-step explanation:

6 0

3 years ago

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The are of a rectangular community the graden is 300 square feet. The length of a rectangular graden is three times its width. F

Keith_Richards [23]

Answer:

length: 30 ft
width: 10 ft

Step-by-step explanation:

The description of the garden fits that of 3 squares arranged side-by-side. The area of each of those would be 100 ft², so their side length would be ...

s = √A= √(100 ft²) = 10 ft

This dimension is the width of the garden, whose length is 3 times this amount.

The length and width of the garden are 30 ft and 10 ft, respectively.

3 0

3 years ago

Solve 5× - 4 - × = 0 what is the answer

Natasha2012 [34]

Answer:

x = 1

Step-by-step explanation:

Add 4 from both sides which you add to the zero. Then, combine like terms, 5x - 1x which is 4x. Divide 4 from both sides and it equals 1.

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3 years ago

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