All categories

3 years ago

What is the 10th term of the arithmetic sequence defined by the formula

Mathematics

1 answer:

Kisachek [45]3 years ago

8 0

Answer:

Step-by-step explanation:

First we should simplify the formula. The simplified formula would be 1/3n+2/3. We then substitute 10 for n. (10/3)+2/3= 12/3=4.

You might be interested in

How much do you earn per week if your annual salary is $40,716?

Sidana [21]

Answer:

783

Step-by-step explanation:

There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.

4 0

3 years ago

Mr Changalls garden covers 2/5 of an acre of land .He divides the land into 4 equal sections .what fraction of an acre is each s

kakasveta [241]

1/10.
2/5 is equal to 4/10
4/10 divided by .4 is .1
so its 1/10

6 0

4 years ago

10x−y = 10<br> −2x+ 5y = −2

Viefleur [7K]

Answer:

x=1 & y=0

Step-by-step explanation:

5 0

1 year ago

Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

Can someone please help me with this

katovenus [111]

He had 24 pounds of flour in his supply

3 0

3 years ago

Read 2 more answers