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2 years ago

Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol?

Mathematics

1 answer:

Naddik [55]2 years ago

6 0

Answer:

Yes

Step-by-step explanation:

I had this same question on a quiz and it is correct!

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The diameter of a Frisbee is 12 in. What is the area of the Frisbee?

Alina [70]

we know that

Area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius

in this problem

$diameter=12\ in \\ radius=diameter/2\\ radius=12/2\\ radius=6\ in$

$A=3.14* 6^{2}$

$A=113.04 in^{2}$

therefore

the answer is the option

d. 113.04 sq. in.

8 0

2 years ago

Read 2 more answers

A cellphone data plan costs 0.03 per gigabyte and has a 40.00 initial charge. What will be the total cost of the cellphone data

lbvjy [14]

Answer:

0.03x+40.00

Step-by-step explanation:

8 0

2 years ago

Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

2 years ago

If a bank offers a savings that pays simple interest rate of 3% and you deposit $550.00 into the account, how much interest will

vitfil [10]

Answer:

SI=P*T*R/100

=550*3*2/100

=$33

5 0

3 years ago

Shana is at the grocery store comparing two brands of juice. Brand A costs $3.84 for a 16-ounce bottle. Brand B costs $4.50 for

DaniilM [7]

I hope this helps, it is correct.

5 0

3 years ago