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3 years ago

Find the eighth term of the

Mathematics

1 answer:

Pie3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio, hence

$a_{8}$ = 6 × $(-1/3)^{7}$ = 6 × - $\frac{1}{3^{7} }$ = 6 × - $\frac{1}{2187}$ = - $\frac{2}{729}$

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A ball is thrown into the air with an upward velocity of 80 feet per second. The function h = -16t^2 + 80t models the height h,

irakobra [83]

The ball hits the ground when the height h(t) = 0 , so

-16t^2 + 80t = 0

-16t(t - 5) = 0

t- 5 = 0 or -16t^2 = 0 ( here t = 0 which corresponds to when ball is thrown)

t - 5 = 0 gives:-

t = 5 seconds (answer)

3 0

3 years ago

Read 2 more answers

Factor each polynomial (1)64-40ab

nikklg [1K]

64-40ab
=8(8-5ab)
....................................

5 0

3 years ago

The surface area of a sphere with a diameter of 12 units is:

svetlana [45]

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

4 0

4 years ago

Alex buys a subscription to a streaming site. The function describes the 5.50m c=3+2 cost of the yearly subscription,c, in terms

azamat

Answer:

$5.50 = c = 3 + 5 = 7c \\ \\ then \: divide \: 5.50to \: the7 \\ \\$

Step-by-step explanation:

the answer u will get after

3 0

3 years ago

Find the 76th term of the arithmetic sequence 17, 19, 21, ...

Dominik [7]

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

$^{a}n = ^{a}1 (n - 1)d$

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, $^{a}1$ will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have $^{a} 76 = 17 + (76 - 1)(2)$ .

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have $^{a} 76 = 17 + (75)(2)$ .

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have $^{a} 76 = 17 + 150$ .

Now just add to find that $^{a} 76 = 167$ .

So the 76th term is 167.

5 0

3 years ago