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3 years ago

11

G a spherical tank has a capacity of 300 gallons. using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank

(to the nearest hundredth of a foot).

1 answer:

Paladinen [302]3 years ago

5 0

Volume of a sphere is V=(4/3)pi r^3
300(.1337)=(4/3)pi r^3
solve for r
r= 2.12 ft

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What sequence is modeled by the graph below?

Lady bird [3.3K]

ANSWER

$a_n= \frac{1}{2}( {2}^{n - 1} )$

EXPLANATION

The corresponding ordered pairs from the graph are:

(2,1) (3,2) (4,4) (5,8)

The y-values are:

1,2,4,8

The first term term is the term before 1,this has to be.

$a_1= \frac{1}{2}$

The common ratio is

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

The nth term is given by

$a_n=a_1 {(r}^{n - 1} )$

Let's substitute the values to get,

$a_n= \frac{1}{2} \times {(2}^{n - 1} )$

This simplifies to,

$a_n= \frac{1}{2} {(2}^{n - 1} )$

3 0

3 years ago

I NEED HELP pLS What is the value of x? (only number values) *

Licemer1 [7]

Answer:

x=-1

Step-by-step explanation:

By adding the bottom lines you can get

2x+11 = x+10

Simplifying this gets you

x=-1

4 0

3 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B16%7D%5E%7Bx%7D%20" id="TexFormula1" title=" {x}^{2}

aalyn [17]

The value of x is -1/2 or -.5

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2 years ago

What is the value of the digit 4 in 46000?

IgorC [24]

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3 years ago

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