Hi I really need help can anyone help me out

Mathematics

1 answer:

Alex Ar [27]3 years ago

8 0

Number 16 is 13.5 because each half triangle is 1 unif square

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Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?

maxonik [38]

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

$y=2^x\\\ln(y)=x \ln(2)$

Implicitly differentiate the left side and take the derivative of the right side

$\frac{y'}{y} =\ln(2)$

Multiply both sides by 'y' which was defined as 2^x

$y'=\ln(2)*2^x$

Plug in x = 2 and x = 3 to see which slope is larger

$y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)$

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3 years ago

In 1945, an organization asked 1467 randomly sampled American citizens, "Do you think we can develop a way to protect ourselve

patriot [66]

Yes.

1467-776=691

Which means 776 believed the country was protected and 691 believed the country wasn't.

7 0

3 years ago

After the booster club sold 40 hotdogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80

Ainat [17]

We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30

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3 years ago

Wat is the greatest common factor of 20 and 36

Maru [420]

Answer: