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Andru [333]
3 years ago
12

WILL MARK BRAINLIEST, I NEED IT ASAP! Find N(A) A= {letters in the word "Strawberry}

Mathematics
1 answer:
Luden [163]3 years ago
4 0

Answer:

i think n(a) =10

Step-by-step explanation:

hope this is helpful

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Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\

So, this integral is convergent.

b)

\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\

So, this integral is divergent.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

4 0
3 years ago
A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the a
Gnom [1K]

Answer: 4 sq. in

Step-by-step explanation:

From the question, the card is 8 inches long. Therefore, the length of the vertical diagonal of 1 kite + the length of the vertical diagonal of other kite = 8

Since we have been told that the kites are congruent, therefore the length of the vertical diagonal of both kites will be thesame

Therefore, 2(length of the vertical diagonal of 1 kite) = 8

Therefore, the length of the vertical diagonal of 1 kite will be= 4 inches

The width of the card = 4 inches

Therefore, the length of the horizontal diagonal of 1 kite + the length of the horizontal diagonal of another kite =4

Since the kites are congruent, therefore, the length of the horizontal diagonal of both kites are the same

Therefore, 2(length of the horizontal diagonal of 1 kite) = 4

Therefore, the length of the horizontal diagonal of 1 kite will be= 2 inches

Therefore, the length of the vertical diagonal of the kite= 4 inches and the horizontal diagonal= 2 inches

So, Area of kite = pq/2

Where p and q are diagonals of kite

Area of kite = (4×2)/2

=8/2

= 4 inches square

3 0
3 years ago
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Given the parent function f(x) = x give the best description of the graph of y = x3 +3.
oee [108]

Answer: A

Step-by-step explanation:

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4 years ago
I need help with completing the reasons for the proof. The first 3 statments are given. ​
Oxana [17]

Answer:Two-column, paragraph, and flowchart proofs are three of the most common geometric proofs. They each offer different ways of organizing reasons and statements so that each proof can be easily explained.

Step-by-step explanation:

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3 years ago
Convert 6.42 kilograms to grams.<br><br> 0.00642 g<br> 64.2 g<br> 642 g<br> 6,420 g
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1 kilogram (kg) equals to 1000 grams (g). Since you have 6.42 kilograms, divide 6.42 kilograms to 1000 grams. Your final answer is 6420 grams in total.
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