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Bond [772]
3 years ago
5

Factor completely x3 – 8

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer: (x-2) (x^2 + 2x + 4)

Step-by-step explanation:

x^3 - 8

x^3 - 2^3

(x-2) * (x^2+x * 2 + 2^2)

(x-2) (x^2 + 2x + 4)

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The Shinkansen, the fastest train in Japan, traveled 75 kilometers in 0.25 hours. What was its speed in kilometers per hour?
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Answer:

300 kilometers per hour

Step-by-step explanation:

See the step-by-step solution in the picture attached below.

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How to find variables x- and y-
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2 years ago
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4 0
3 years ago
Read 2 more answers
An initial of the $100 is now valuated at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05=
tangare [24]

Answer:

8 years approximately

The problem (I'm assuming is):

Solve 100e^{0.05t}=150.

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

100e^{0.05t}=150

Divide both sides by 100:

e^{0.05t}=\frac{150}{100}

e^{0.05t}=1.5

Rewrite in logarithm form.

\ln(1.5)=0.05t

Divide both sides by 0.05:

\frac{\ln(1.5)}{0.05}=t

Put left hand side into calculator:

8.109 \approx t

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So about 8 years if I wrote down the equation correctly.

4 0
3 years ago
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A person is supposed to drink half a gallon of water every day.abby drank 15 small cups today if the capacity of the cup is 3.5
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He needs to drink 3 cups MORE to meet his daily requirement.

Step-by-step explanation:

Here, as given in the question:

The total need for water = half a gallon = 0.5 gallon

1 gallon  = 128 oz

So, 0.5 gallon = 128/2  = 64 oz

Now, the capacity of 1 cup = 3.5 oz

The number of cups already drank by the person = 15 cups

So, the total amount of water already taken by him

= 15 cups x Capacity of 1 cup

= 15 x (3.5 oz)  = 52.5 oz

So, the amount of water left to be drink by him

= Total Need - Already covered

= 64 oz - 52 . 5 oz  =  11.5 oz

Now, as 1 cup = 3.5 oz

So, 11.5 oz  has ( \frac{11.5}{3.5} )cups  = 3.28 cup≈ 3 cups

Hence, he needs to drink 3 cups MORE to meet his daily requirement.

6 0
3 years ago
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