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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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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%
sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

 Total volume of paint = T

 Blue:  x*T / 100

 Green: y*T/100

 Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

                    1 gallon = x*T / 100

- x = y,

                    1 gallon = y*T / 100

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

                    3 gallon = z*T / 100

                    T = 300 / z = 300 / 60 = 5 gallons

                    T = R + B + G

                    G = T - R - B

                    G = 5 - 3 - 1

                    G = 1 gallons

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

5 0
3 years ago
Calculate the area of a right-angled triangle of sides 30 cm, 40 cm, 50 cm.
grin007 [14]
The correct answer is 60cm^2 because the area of a triangle is half base*height -> 30/2*40
5 0
3 years ago
At your gym, the bar you lift weighs 45 pounds. You add weights to the bar that are 10 pounds each. If you add 8 weights to the
lana66690 [7]
45 plus 80 which is 125 pounds
4 0
3 years ago
Read 2 more answers
Plzzzz help I'll fail unless I get this in 6 minutes. Will give BRAINLIEST to answer!!!!!!
raketka [301]

Answer:

What is the question

Step-by-step explanation:

8 0
2 years ago
Please help! this is hard for me!
weqwewe [10]

Answer:

$12.31

Step-by-step explanation:

Think of the original rate of pay as being 100%.

If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)

To find 107% of $11.50, convert 107% into a decimal

⇒ 107% = 107/100 = 1.07

then multiply this by the original rate to get the new increased rate:

⇒ $11.50 × 1.07 = $12.305

Rounding this to the nearest hundred = $12.31

Alternatively, you can find 7% of $11.50 and then add this to $11.50.

⇒ 7% = 7/100 = 0.07

Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805

Add this to the original rate:

$11.50 + $0.805 = $12.305

Rounding this to the nearest hundred = $12.31

8 0
2 years ago
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