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3 years ago

Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.

1 answer:

6 0

$a_n=a_1\cdot q^{n-`1}\\\\a_1=2;\ q=0.5=\frac{1}{2}\\\\\\a_8=a_1\cdot q^{8-1}=a_1\cdot q^7\\\\a_8=2\cdot\left(\frac{1}{2}\right)^7=2\cdot\frac{1}{2^7}=2\cdot\frac{1}{128}=\frac{1}{64}\\\\\\Answer:a_8=\frac{1}{64}$

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Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2).

erma4kov [3.2K]

Answer:

- 3

Step-by-step explanation:

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3 years ago

Ben ran 3/10 of a mile. Shelly ran 8/10 of a mile. How many more miles did Shelly run than Ben? A) 11/10 B) 11/20 C) 5/0 D) 5/10

attashe74 [19]

Hello there! Shelly ran D) 5/10 more miles than Ben.

To find the difference between the two runner's distances, subtract the smaller distance from the greater distance.

8/10 - 3/10 = 5/10

Since there is a difference of 5/10, this means Shelly ran 5/1 more miles.

I hope this helps, & have a great rest of your day! :)

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3 years ago

Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

$r=\frac{3h}{2}$

Volume of conical pile is given by formula

$V=\frac{1}{3}\pi r^2h$

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

$1110=\frac{1}{3}\pi (\frac{3h}{2})^2h$

$1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h$

$1110=\pi\cdot\frac{3h^3}{4}$

$1110\cdot\frac{4}{3\pi}=h^3$

$471.098631552=h^3$

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

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3 years ago

There are 16 students playing kickball. Two students leave to go play hopscotch. How do you write the fraction of children left

olga55 [171]

Answer:

7/8

Step-by-step explanation:

When 16 students are playing kickball, there are 16/16 students on the field. After 2 leave, this becomes 16-2/16, therefore 14/16 which is divisible by 2. and therefore 7/8, which the numerator and denominator have no common divisors.

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3 years ago

What multiples to -64 and adds to -12

tiny-mole [99]

Answer:

Sum :- -76 Product :- 768

Step-by-step explanation:

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2 years ago