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kakasveta [241]
2 years ago
5

PLS ANSWER QUICK! Thanks!

Mathematics
1 answer:
ziro4ka [17]2 years ago
5 0

Answer:

The correct answer would be a=\sqrt{c^2-b^2}

Step-by-step explanation:

given a^2+b^2=c^2 we want to solve for a

How?

We can do this by using basic algebra ( isolating the variable (a ))

Step 1 subtract b^2 from each side

a^2+b^2-b^2=a^2\\c^2-b^2=c^2-b^2

now we have a^2=c^2-b^2

step 2 take the square root of each side

\sqrt{a^2} =a\\\sqrt{c^2-b^2} =\sqrt{c^2-b^2}

we're left with a=\sqrt{c^2-b^2}

Hence your answer is A

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Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the co
jeka57 [31]

Answer:

<h2>A. The series CONVERGES</h2>

Step-by-step explanation:

If \sum a_n is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

\lim_{n \to \infty} |\frac{a_n_+_1}{a_n}| = \rho

If \rho < 1, the series converges absolutely

If \rho > 1, the series diverges

If \rho = 1, the test fails.

Given the series \sum\left\ {\infty} \atop {1} \right \frac{n^2}{5^n}

To test for convergence or divergence using ratio test, we will use the condition above.

a_n = \frac{n^2}{5^n} \\a_n_+_1 = \frac{(n+1)^2}{5^{n+1}}

\frac{a_n_+_1}{a_n} =  \frac{{\frac{(n+1)^2}{5^{n+1}}}}{\frac{n^2}{5^n} }\\\\ \frac{a_n_+_1}{a_n} = {{\frac{(n+1)^2}{5^{n+1}} * \frac{5^n}{n^2}\

\frac{a_n_+_1}{a_n} = {{\frac{(n^2+2n+1)}{5^n*5^1}} * \frac{5^n}{n^2}\\

aₙ₊₁/aₙ =

\lim_{n \to \infty} |\frac{ n^2+2n+1}{5n^2}| \\\\Dividing\ through\ by \ n^2\\\\\lim_{n \to \infty} |\frac{ n^2/n^2+2n/n^2+1/n^2}{5n^2/n^2}|\\\\\lim_{n \to \infty} |\frac{1+2/n+1/n^2}{5}|\\\\

note that any constant dividing infinity is equal to zero

|\frac{1+2/\infty+1/\infty^2}{5}|\\\\

\frac{1+0+0}{5}\\ = 1/5

\rho = 1/5

Since The limit of the sequence given is less than 1, hence the series converges.

5 0
2 years ago
Solve for W. What does W equal?
Nostrana [21]

Answer:

w=-11/6

Step-by-step explanation:

5 0
2 years ago
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The area of circle B is 121 times greater than the area of circle A. The radius of circle B is 44. What is the radius of circle
xxMikexx [17]
<em>Formula:</em>
\bigg( \dfrac{radius_1}{radius_2} \bigg)^2 =  \dfrac{area_1}{area_2}

<em>Plug in the values:</em>
\bigg( \dfrac{r}{44} \bigg)^2 = \dfrac{1}{121}

<em>Simplify LHS:</em>
\dfrac{r^2}{1936}  = \dfrac{1}{121}

<em>Multiply by 1936 on both sides:</em>
r^2  = \dfrac{1936}{121}&#10;

<em>Simplify RHS:</em>
r^2 = 16

<em>Square root both sides:</em>
r = 4

Answer: The radius is 4 units. (Answer B)
5 0
3 years ago
Can someone help me with this :(
julia-pushkina [17]

Answer:

9

Step-by-step explanation:

6+x, when x = 3

6+(3)

6+3=9

5 0
3 years ago
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Which medicinal product is made using animal products?
raketka [301]

Answer:

C. Rose oil

Step-by-step explanation:

Which medicinal product is made using animal products?

A. Flu vaccine

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B. Aspirin

C. Rose oil

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D. Morphine

SUBM

3 0
3 years ago
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