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3 years ago

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Mathematics

1 answer:

Nastasia [14]3 years ago

8 0

Volume of a cone = 1/3 r² π h
Volume of a cylinder = r² π h = 3 · V ( cone ) = 3 · 12 = 36 in³

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If A = -3n + 2, and B = 5n - 7, what is the value of A + B, in simplest form?

Sever21 [200]

Answer:

I think the answer is 2n-5

(-3n + 2)+(5n - 7)

-3n+5n=2n

2+(-7)=-5

4 0

3 years ago

Divide 3500 in the ratio 2: 2 : 3

BlackZzzverrR [31]

Answer:

1000 : 1000 : 1500

Step-by-step explanation:

2 + 2 + 3 = 7

3500 ÷ 7 = 500

2 × 500 = 1000

3 × 500 = 1500

1000 : 1000 : 1500

5 0

2 years ago

Read 2 more answers

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

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3 years ago

Help ASAP <br> I don’t really understand this question

german

It’s C. ( 3 . -5 ), because the you want to look at where the two lines intersect. So you want to always look at the X - Axis first. And that’s on the 3. Now you want to look at the Y - Axis. And that’s on - 5. So you answer will be C. ( 3 . -5 )

4 0

3 years ago

Please help ASAP will give BRAINLIEST!

Ainat [17]

Answer:

i think the value of y is 8

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2 years ago