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3 years ago

Which expression is equivalent to

Mathematics

2 answers:

Charra [1.4K]3 years ago

8 0

X^4

Jdnzusjdnekdjdnkdkelef

anyanavicka [17]3 years ago

5 0

X^ 4, the answer is x^4

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1. Which are true of x = log10 31,500? Select all that apply.

ziro4ka [17]

Given:

$x=\log_{10}31,500$

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

$x=\log_{10}31,500$

It can be written as

$x=\log_{10}(2^23^25^37)$

$x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)$ $[\because \log(ab)=\log a+\log b]$

$x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)$

$x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451$

$x=4.49835$

Clearly, the value of x lies between 4 and 5. So, $x>4$ and $x$ .

Therefore, the correct options are C and D.

4 0

3 years ago

The statement tan theta -12/5, csc theta -13/12, and the terminal point determined by theta is in quadrant 2."

ZanzabumX [31]

Answer is C. This is because in quadrant 2, $\sin\theta>0$ so $\csc\theta>0$ is also true.

6 0

3 years ago

Read 2 more answers

Norman bought 5/6 pounds of cookies. He ate 3/5 cookies. What was the weight of the cookies he ate

schepotkina [342]

Answer:

Half a pound.

Step-by-step explanation:

To find the number of pounds he ate, multiply the fractions.

$\frac{5}{6}*\frac{3}{5} = \frac{15}{30}=\frac{1}{2}$

He ate 1/2 a pound.

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3 years ago

Samuel deposits $1,800 in an account that earns 12% simple annual interest. How many months will it take for Samuel's account ba

Artemon [7]

In order to use the simple interest formula, we first define the variables. The interest would be equal to Samuel's desired amount $ 2,488 minus the principal amount of $ 1,800 which is then equal to $ 688. The rate must be in decimal form which is equal to 0.12 while t is expressed in years. Substituting the values, t is equal to 3. Thus, it will take 36 <span>months for Samuel's account balance to reach $2,448. </span>

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3 years ago

Pints quarts cups gallons from most precise to least precise

Keith_Richards [23]

Least to greatest: cups, pints, quarts, gallons

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3 years ago