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dsp73
2 years ago
6

Is the quotient of √10 and 5 a rational number? Explain.

Mathematics
1 answer:
zhuklara [117]2 years ago
7 0

Answer:

No, it is irrational.

Step-by-step explanation:

The quotient of √10 and 5 is equal to \frac{\sqrt{10}}{5} } which equals 0.6245553...

The number goes on and on forever with no determinable pattern (i.e. the decimal 0.234234234... although the decimal goes on forever, the 234 repeats over and over).

If you're still confused, check out https://www.mathsisfun.com/irrational-numbers.html I find it to be a really helpful website!

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How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
Harlamova29_29 [7]
The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and  </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)

</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>






7 0
2 years ago
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If f Superscript negative 1 Baseline (x) = negative one-fifth x, what is f Superscript negative 1 Baseline (x) = one-fifth x?
Artyom0805 [142]

Answer:

  a different inverse function

Step-by-step explanation:

If f^{-1}(x)=-\frac{1}{5}x then f^{-1}(x)=\frac{1}{5}x is a different inverse function.

__

The second (inverse) function is the first reflected over the y-axis.

5 0
2 years ago
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Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___
prisoha [69]
Hi there! I can help you! Okay. So to find the amount of interest, we have to do the formula prt. That means multiply the principal, which is the initial amount of money, the rate, which is the interest rate, and the amount of time, which is usually in years. With that being said, here is how the answers turn out.

$252, 8% for 2 years: $40.32
$400, 2% for 6 months: $4
$5,000, 3.5% for 1 year: $175
$6,240, 10% for 9 months: $468

For the months, we just convert those numbers into decimal. 6 months is 1/2 a year, so it would be 0.5 and 9 months is 3/4 of a year, so that decimal would be 0.75. All you have to do is multiply the amount of money by percentage (you can do it by decimal form) by amount of time, and you’ll be good.
4 0
2 years ago
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What type of proof is used extensively in Geometry?
Nikolay [14]

Answer: two-column

Step-by-step explanation:

7 0
2 years ago
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Gretchen made $56,750 last year. She paid $1,200 in student loan interest and made a $3,000 contribution to her IRA. On her fede
tia_tia [17]
d. Adjustments

Studen loan interests and IRA contributions are deductions found under the heading of ADJUSTMENTS TO INCOME to compute for the Adjusted Gross Income or AGI.

Standard deductions are those based on the filing status of the individual and not his total itemized deductions. Regardless of the actual expenses incurred by an individual, he can claim a standar deduction if he is single, head of household, married filing separately, married filing jointly, qualifying widow(er). at the time he files for his federal tax return.

taxable income is the income left from all the necessary deductions.

For example: Gretchen's income =>                 $56,750
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             student loan interest $1,200
             IRA Contribution            3,000                  -  4,200
                                                                               ===========
Taxable income                                                    $52,550

8 0
2 years ago
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