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nataly862011 [7]
4 years ago
13

" class="latex-formula">

PLEASE HELP
Mathematics
1 answer:
Zina [86]4 years ago
4 0
\sqrt{45} = \sqrt{9\times 5} = \sqrt{9} \times  \sqrt{5} =\boxed {3 \sqrt{5} }
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Please help me right away with these problems.
viktelen [127]

Q.34

\sum\limits_{k=1}^{\infty}420\left(1.002\right)^{k-1}

The infinite geometric series is converges if |r| < 1.

We have r =1.002 > 1, therefore our infinite geometric series is Diverges

Answer: c. Diverges, sum not exist.

Q.35

\sum\limits_{k=1}^{\infty}-5\left(\dfrac{4}{5}\right)^{k-1}

The infinite geometric series is converges if |r| < 1.

We have r = 4/5 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

S=\dfrac{a_1}{1-r}

We have:

a_1=-5\left(\dfrac{4}{5}\right)^{1-1}=-5\left(\dfrac{4}{5}\right)^0=-5\\\\r=\dfrac{4}{5}

substitute:

S=\dfrac{-5}{1-\frac{4}{5}}=-\dfrac{5}{\frac{1}{5}}=-5\cdot\dfrac{5}{1}=-25

Answer: c. Converges, -25.

4 0
3 years ago
At a used book sale, 5 books cost $15. What is the cost per book?
Arte-miy333 [17]

Answer:

$3/book

Step-by-step explanation:

cost per book means divide the price of all the books by the number of books

$15/(5 books) = $3/book

4 0
3 years ago
Helppppppp mathhhhhh
Maru [420]
5/3 is you answer!?!?!
7 0
4 years ago
Read 2 more answers
If f(x) =2x - 3, find the following<br><br> 1. f(-2)<br> 2. f(7)<br> 3. f(-4)
AlekseyPX

Answer:

1. f(-2) = -7

2.f(7) = 11

3. f(-4) = -11

Step-by-step explanation:

1. substitute x = -2 in f(x)

The function becomes :

f(-2) = 2×(-2) - 3 = -7

2. substitute x = 7 in f(x)

the function becomes:

f(7)= 2×7 - 3 = 11

7 0
3 years ago
What units used for rate of riding a biycicle
tatuchka [14]

cadence

hope this helps :)

3 0
3 years ago
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