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3 years ago

Solve the equation A = P + Prt for r. Solve the equation A = P + prt for p.

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

8 0

Answer:

Step-by-step explanation:

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He ratio of the same side angles of two parallel lines is 33:3. Find all angles.PLZZZZ

worty [1.4K]

Answer: 15°. and. 165°

Step-by-step explanation:

The angles of the same sides of two parallel lines sums to 180°

Therefore, given 33:3, we obtain as thus

33 + 3 = 36

Now, for the first angles,

(33/36)times180° = 165°

And the second angle is,

(3/36)times180° = 15°

4 0

4 years ago

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The perimeter of an equilateral triangle is 12 feet. Find the area of the triangle.

Montano1993 [528]

The answer is 4√3 sq. unit

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3 years ago

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What is the sum of the series infinity e n-1 -7(3/8)^n?

soldier1979 [14.2K]

Let

$S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)$

Then

$\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)$

$S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)$

$\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)$

$S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)$

As $N\to\infty$ , the exponential term will converge to zero, so the infinite sum converges to

$\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}$

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2 years ago

What is the value of the expression when c=-5 and d=2 45 c+28d?

REY [17]

45c + 28d

45(-5) + 28(2)

-225 + 56

-169

Hope this helps! :)

7 0

4 years ago

if Sn is the nth partial sum of the harmonic series, show that e^Sn > n+1. Why does this imply that the harmonic series is di

yanalaym [24]

$S_n=\displaystyle\sum_{k=1}^n\frac1k$

You have

$\ln e^{S_n}=S_n\ln e=S_n$

so showing that $e^{S_n}>n+1$ amounts to the same as showing that $S_n>\ln(n+1)$ .

As $n\to\infty$ , you have $\ln(n+1)\to\infty$ . By comparison, then, it follows that $S_n\to\infty$ at a faster rate, which means $S_\infty$ must diverge.

3 0

4 years ago