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2 years ago

Find the 8th term of the geometric sequence show below

Mathematics

2 answers:

vivado [14]2 years ago

6 0

Answer:

Alli khanaw .................

Fed [463]2 years ago

5 0

Answer:

8x^36

Step-by-step explanation:

first term (a) = $8x^{8}$

Second term (t2)= $8x^{12}$

common ratio (r)

= $\frac{8x^{12} }{8x^{8} }$

= $x^{4}$

now the 8th term of the G.S is

t8 = $ar^{n-1}$

= $8x^8 * (x^4)^8^-^1$

= $8x^8 * (x^4)^7\\$

= $8x^8 *x^2^8\\= 8x^3^6$

hope it will help

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A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each

Nataly_w [17]

Answer:

12 small boxes

8 large boxes

Step-by-step explanation:

let x be the number of small boxes shipped

let y be the number of large boxes shipped

This means:

the total number of boxes is 20, so

x + y = 20

the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so

50x + 100y = 1400

Then, solve

First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50

x + 2y = 28

Now, subtract the two equations:

x + 2y = 28

- (x + y = 20)

y = 8

Now plug this into the equation x + y = 20

x + 8 = 20

x = 12

So the number of small boxes is 12 and the number of large boxes is 8.

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3 years ago

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

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Over a period of 12 hours, the temperature dropped 60 degrees. What was the average change in temperature in one hour?

dybincka [34]

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2 years ago

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Let f(x) = 9x3 + 21x2 − 14 and g(x) = 3x + 1. Find f of x over g of x. 3 times x squared plus 6 times x minus 2 minus 12 over th

12345 [234]

Answer:

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Step-by-step explanation:

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