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3 years ago

Name the algebraic property demonstrated in the example below: 4(3 + 3) = 4(3) + 4(3)

Mathematics

1 answer:

Vitek1552 [10]3 years ago

5 0

4(3 + 3) = 4(3) + 4(3).....this is the distributive property

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A mini-cube measures 1.5 in. wide. A mega-cube is 5 times as wide. What is the volume of the mega-cube, rounded to the nearest t

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My guess is it is round to 7.5

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3 years ago

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The steps shown can be used to prove that the medians of a triangle meet at a point.

olga_2 [115]

Answer:

Step-by-step explanation:

EDGE

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3 years ago

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ALMOST DONE!!!! HELP ME!!!!

Naddik [55]

4+√x=10 ← Subtract 4 from both sides

√x = 6 ← square both sides to get rid of the square root

x = 36 or B

5 0

4 years ago

<img src="https://tex.z-dn.net/?f=%20%7B%20%5Ccos%5E%7B4%7D%5Calpha%7D%20%5C%3A%20%2B%20%20%20%5Csin%5E%7B2%7D%20%5Calpha%20%5C%

timurjin [86]

Answer:

Proved

Step-by-step explanation:

$cos^4\alpha +sin^4\alpha =\frac{1}{4}(3+cos4\alpha )\\\\$

Take the Left Hand Side:

$cos^4\alpha +sin^4\alpha\\\\(cos^2\alpha )^2+(sin^2\alpha )^2\\\\(\frac{1+cos2\alpha }{2})^2+(\frac{1-cos2\alpha }{2})^2 \\\\\frac{1+2cos2\alpha +cos^22\alpha }{4}+\frac{1-2cos2\alpha +cos^22\alpha }{4} \\\\$

$\frac{1+2cos2\alpha +cos^22\alpha +1-2cos2\alpha +cos^22\alpha }{4} \\\\\frac{2+2cos^22\alpha }{4} \\\\\frac{1+cos^22\alpha }{2} \\\\\frac{1}{2}(1+cos^22\alpha )\\\\$

$\frac{1}{2}(1+\frac{1+cos4\alpha }{2})$

$\frac{1}{2}(\frac{2+1+cos4\alpha }{2})\\\\\frac{1}{4}(3+cos4\alpha )\\\\$

Hence Proved!

The following identities were used are attached in an image

3 0

3 years ago

The formula for estimating the number, N, of a certain product sold is N = 9200ln(5t + 3), where t is the number of years after

Lilit [14]

To determine the expected number of sales after 3 years of a product, we need an equation that would relate time with the number of sales. In this case, we use the equation above which expresses the number of sales as a function of time. We simply substitute the time which would be 3 years to the equation and evaluate the value of N. We do as follows:

 N = 9200 ln (5t + 3)
 N = 9200 ln (5 ( 3 ) + 3)
 N = 9200 ln 18
N = 26591.42

Therefore, the correct answer would be option B. The number of sales after 3 years would be about 26591.

6 0

4 years ago