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3 years ago

If 3^4•3^n=30^20, what is n?

Mathematics

1 answer:

11111nata11111 [884]3 years ago

8 0

Answer:

Step-by-step explanation:

Im really good with answers

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Which function has a range of {y|y ≤ 5}?

Murljashka [212]

Answer:

f(x) = –(x – 4)2 + 5

Step-by-step explanation:

this is the explanation for it brainly.com/question/1442168

8 0

3 years ago

Read 2 more answers

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

I need some help with two problems

nataly862011 [7]

Answer:

24) x = 16

I am not sure about #25

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3 years ago

What is 15% of $10.00

Katarina [22]

In mathematics, the word 'of' always means multiplication, so to find out what 15% of $10.00 is, all we need to do is multiply the percentage by the dollar amount we are reducing.

In order to do this, we must first convert the percentage into a decimal. To do this, we can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.

15% = 0.15

So now, we can multiply.

0.15 * 10 = 1.5

which is our answer.
15% of $10.00 is $1.50.
Hope that helped! =)

3 0

3 years ago

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the circumference of kayla's bicycle wheel is 19 inches what is the approximate diameter of her bicycle wheel use 3.14 for x

julia-pushkina [17]

Omg kaylas is my best friends name!!

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3 years ago