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3 years ago

Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answer: Irrational, assuming b is irrational

Step-by-step explanation:

You didnt state what "b" is, but:

Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number

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The factors of the number 56 are 1, 2, 4, 7, 8, 14, 28, and 56. Choose the factor pairs of the number 56.

natima [27]

Answer:

b) 7×8

c) 4×14

d) 2×28

Step-by-step explanation:

A factor pair of a number is a pair of numbers that, when multiplied will result in the given number.

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.

The factor pairs are:

1 X 56
2 X 28
4 X 14
7 X 8

Out of the options, only Option A is not a factor pair.

8 0

3 years ago

Complete the following equations . Round each value to the nearest thousandth.

juin [17]

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5 0

3 years ago

Calculate monthly mortgage payments on a $162,000 home, financed at 3.875% yearly interest compounded monthly for 360 months.

Aleks [24]

Answer:

a, also there is a calculator on google for this, if you have any more!

Step-by-step explanation:

7 0

3 years ago

Simplify the expression.<br><br> (−2g5h2)5

vampirchik [111]

I am sure you are trying to type

$( - 2 {g}^{5} {h}^{2} {)}^{5}$
If that is it, then you should recall the law of exponents which says,

$({a}^{m} {)}^{n} = {a}^{mn}$
Let us share the exponent for each of them.

$( - 2 {g}^{5} {h}^{2} {)}^{5} = ( { - 2)}^{5} ( { {g}^{5}) }^{5} ( { {h}^{2}) }^{5}$
We now apply the law,

$( - 2 {g}^{5} {h}^{2} {)}^{5} = ( { - 2)}^{5} ( { {g}^{5 \: \times 5}) }^{} ( { {h}^{2 \times 5}) }^{}$
We now simplify to obtain,

$( - 2 {g}^{5} {h}^{2} {)}^{5} = -32 {g}^{25} {h}^{10}$

If that is not the expression let me know so I will know how to help you

4 0

3 years ago

An initial population of 415

slamgirl [31]

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

3 0

3 years ago