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3 years ago

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Mathematics

1 answer:

Mila [183]3 years ago

6 0

Answer:

ummmmm

Step-by-step explanation:

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Help me lol abcdefghijklmnopqrstuvwxyz

borishaifa [10]

Answer:

30 cans

Step-by-step explanation:

We can use ratios

15 cans x cans

---------------- = ------------------

7*2 people days 4*7 people days

Using cross products

15 * 28 = 14 * x

Divide by 14

15 * 28/14 = x

30 =x

4 0

3 years ago

What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

Mumz [18]

Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

6 0

3 years ago

Which equation has x = 5 as the solution?

Zolol [24]

Answer:

Step-by-step explanation:

what are the equations?

5 0

3 years ago

The respiratory system removes oxygen and water from the body. Please select the best answer from the choices provided T F

nordsb [41]

Step-by-step explanation:

F respiratory system only remove carbon dioxide from the body

4 0

2 years ago

If you deposit $6000 into an account paying 8% annual interest compounded monthly, how much money will be in the account after 7

Leviafan [203]

Answer:

$10278

Step-by-step explanation:

Given data

P= $6000

R= 8%

T= 7 years

The compound interest formula is

A=P(1+r)^t

substitute

A=6000(1+0.08)^7

A=6000(1.08)^7

A=6000*1.713

A=$10278

6 0

3 years ago