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4 years ago

Dana says that all even numbers are composite. Is she correct?

Mathematics

1 answer:

Ksenya-84 [330]4 years ago

8 0

Answer:

yes

Step-by-step explanation:

all even numbers greater than two are composite numbers

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For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t .

algol13

Answer:

a) $T(t) = \frac{}{5}=$

$T(4) =$

b) $T(t) = \frac{}{8\sqrt{37}}$

$T(4) =$

c) $T(t) = \frac{}{2425825977}$

$T(4) = \frac{1}{2425825977}$

Step-by-step explanation:

The tangent vector is defined as:

$T(t) = \frac{r'(t)}{|r'(t)|}$

Part a

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{25 sin^2(5t) +25 cos^2 (5t)}= 5\sqrt{cos^2 (5t) + sin^2 (5t)} =5$

And then the tangent vector for this case would be:

$T(t) = \frac{}{5}=$

And for the case when t=4 we got:

$T(4) =$

Part b

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{4t^2 +9t^4}= t\sqrt{4 + 9t^2}$

$|r'(4)| = \sqrt{4(4)^2 +9(4)^4}= 4\sqrt{4 + 9(4)^2} = 4\sqrt{148}= 8\sqrt{37}$

And then the tangent vector for this case would be:

$T(t) = \frac{}{8\sqrt{37}}$

And for the case when t=4 we got:

$T(4) =$

Part c

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{25e^{10t} +16e^{-8t} +1}$

$|r'(t)| = \sqrt{25e^{10*4} +16e^{-8*4} +1} =2425825977$

And then the tangent vector for this case would be:

$T(t) = \frac{}{2425825977}$

And for the case when t=4 we got:

$T(4) = \frac{1}{2425825977}$

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4 years ago

Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims fo

tatiyna

Answer: $75

Step-by-step explanation: First he bought tires for 45.00 dollars - later sold it as 65.0 dollars.

=> 65 - 45 = 20 dollars is his profit

he brought 3 rims for 85 dollar - then later sold it as 126 dollars

=> 126 - 85 = 41 dollars

He bought headlight for 5.00 dollars then sold it later for 15 dollars.

=> 15 - 5 = 10 dollars

Total expenses

=> 134

Total amount sold

=> 209

Profit => 209 - 134 = 75 dollars

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3 years ago

one bag of grapefruit weighs4 pounds. How many pounds of grapefruit are in bags? O 82 pounds Ol pounds o 11 unds O 182 pounds

Citrus2011 [14]

Answer:

Step-by-step explanation:

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3 years ago

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the time it took her to travel

pantera1 [17]

Answer:

The answer is 56

Step-by-step explanation:

I'm smart and you are dumb

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3 years ago

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natita [175]

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