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3 years ago

HELP im behinds on math and need help with this

Mathematics

1 answer:

pav-90 [236]3 years ago

6 0

Answer:

261.7 mm³

Step-by-step explanation:

the volume= ⅓×3.14×5²×10

= ⅓× 785

= 261.7 mm³

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Which geometric series converges?

kvv77 [185]

Answer:

Option (1)

Step-by-step explanation:

In a geometric series,

$\sum_{n=0}^{\infty}ar^n=a+ar^1+ar^2+....$

Here r = $\frac{a_n}{a_{n-1}}$

For |r| < 1, series will converge.

For |r| > 1, series will diverge.

Option (1)

Given geometric series is,

$\frac{1}{2}+\frac{1}{4}+ \frac{1}{8}+ \frac{1}{16}.......$

Common ratio = $\frac{\frac{1}{4}}{\frac{1}{2} }$

= $\frac{1}{2}$

Since, $\frac{1}{2}$

Series will converge.

Option (2)

$\frac{1}{2}+1+2+4+......$

r = $\frac{1}{\frac{1}{2}}=2$

Since, 2 > 1,

Series will diverge.

Option (3)

$\frac{1}{2}+ \frac{3}{2}+ \frac{9}{2}+ \frac{27}{2}+......$

Common ratio 'r' = $\frac{\frac{3}{2} }{\frac{1}{2} }=3$

Since, 3 > 1,

Series will diverge.

Option (4)

$\frac{1}{2}+3+18+108+.....$

Common ratio 'r' = $\frac{3}{\frac{1}{2}}=6$

Since, 6 > 1

Series will diverge.

Therefore, Option (1) will be the correct option.

6 0

3 years ago

Find the length of the third side. If necessary, write in simplest radical form

katrin [286]

HERE,

the $\huge{\triangle}$ is a right angle traingle.

length of one side= $\bold{ 1 }$

length of another side = $\bold{\sqrt{3} }$

so,

the length of third side=

$\bold{\sqrt{(1)^{2} +({\sqrt{3}})^{2}} }$

$\bold{\sqrt{1+3} }$

$\bold{\sqrt{4} }$

${\huge{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{2}}}}}}$

$\therefore$ ,the length third side of the traingle is 2.

3 0

3 years ago

POSSIBLE PO

Tcecarenko [31]

Answer:

707 inches squared

Step-by-step explanation:

Find the area of each side of the rectangular prism then add all of the areas together.

hope this helps

have a good day

4 0

2 years ago

Which function is increasing and has a domain of (1, 0);

marin [14]

Answer:

A: f(t) = log(t-1)+2

Step-by-step explanation:

Hopefully this helps!

7 0

3 years ago

15 Point award! :)

NISA [10]

We can solve this question easiest by putting it as 2 equations.

First, well put the original equation, 2c+5b=55,000. B stands for the cost of backyard pool weddings and c stands for the cost of carribean weddings.

We got this equation because the question states that there were 2 carribean weddings and 5 pool weddings, and the amount of money obtained was $55,000 total as a result.

Now, we’ll put the extra information into an equation, c-10,000=b. We got this equation because it clearly states that backyard pool weddings cost 10,000 less than Caribbean, so c-10,000=b.
Now, we have to solve. Since the first equation has 2 variables, it is unsolvable. This is where the second equation comes in. We can rewrite c-10,000=b as b+10,000=c.

Now, since b+10,000=c, substitute b+10,000 for c in the first equation.
The result is 2(b+10,000)+5b=55,000.
Now that we only have one variable in the equation, it is solvable.
20,000+7b=55,000
7b=55,000
B=7,857
Now to solve for c, insert 7,857 for b in the second equation.
7,857+10,000=c
17,857=c
The cost of carribean weddings was $17,857.
The cost of a backyard pool wedding was $7,857.
Hope this helps!

4 0

4 years ago