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Mariulka [41]
3 years ago
8

Find r for the geometric series s5=244 a1=4 and a5=324

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

an = a1·r^(n-1) . . . . . . general term of a geometric sequence

a5 = 324 = 4·r(5-1) . . . specifically, the 5th term

81 = r^4 . . . . . . . . . . . divide by 4

Since the sum of 5 terms is less than the 5th term, the value of r must be negative:

r=-\sqrt[4]{81}=-3

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28. The edges of a cube are all increased by
Zolol [24]

Answer:

Percentage increase in volume will be

33.1

%

Step-by-step explanation:

Let the each edge of cube be

100

units.

Then its volume is

100

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=

1000000

cubic units.

If each edge increases by

10

%

it becomes

110

units

and volume becomes

110

3

=

1331000

cubic units

Therefore increase in volume is

1331000

−

1000000

=

331000

cubic units

and percentage increase in volume is

331000

1000000

×

100

%

=

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10

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7 0
3 years ago
Angles DAB measure (4x-2) and angles BCD measures 47 degrees.find x
love history [14]
Forgive me but they deleted my answer for it did not have any work to be shown providing you know how to do Algebra you get X= 12 as your outcome. <span />
3 0
2 years ago
A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5).  The smallest of these angles is thus 20°

8 0
2 years ago
Read 2 more answers
Write the percent as a mixed number in simplest form.<br> 168%
vladimir2022 [97]

Answer:

1 and 17/25

Step-by-step explanation:

First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.

(hope this helps :P)

4 0
2 years ago
Factoring by grouping how do i solve it 8r^3-64^2+r-8
Lelu [443]
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</span><span>8<span>r^3</span>−4096+r−8

</span>Subtract 8<span> from </span><span>−4096</span><span> to get </span><span><span>−4104</span>.
</span><span>8<span>r^3</span>−4104+r

</span>Factor<span> the </span>polynomial<span> using the rational </span>roots<span> theorem.
</span><span>(r−8)(8<span>r^2</span>+64r+513)</span>
4 0
2 years ago
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