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Ugo [173]
3 years ago
6

The simplified form of an expression is 1 . Which expression was simplified?

Mathematics
2 answers:
bagirrra123 [75]3 years ago
4 0

Answer:

a*a^{-1}=a*\frac{1}{a}= \frac{a}{a}=1 \\\\a\in R

Step-by-step explanation:

We are talking about the multiplicative inverse of any number. The multiplicative inverse of a number is another number that multiplied by the first, results in the neutral element of the product, that is, the unit. If we have a real number a, then its multiplicative inverse is denoted by a^{-1}, and it is true that:

a*a^{-1}=a*\frac{1}{a}= \frac{a}{a}=1 \\\\a\in R

It's important to note that the multiplicative inverse exists in rational numbers, in real numbers, and in complex numbers.

Afina-wow [57]3 years ago
3 0
2-1, 3-2, 4-3, 1*1, 1/7, any number of expressions fit the bill here.
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I think its 6 degrees c
5 0
3 years ago
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Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. How interest will he have earned a
agasfer [191]

We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

3.25\%=\frac{3.25}{100}=0.0325

A=6500(1+\frac{0.0325}{1})^{1\cdot 8}

A=6500(1+0.0325)^{8}

A=6500(1.0325)^{8}

A=6500(1.2915775352963673)

A=8395.253979

Now we will subtract principal amount from final amount to find amount of interest as:

\text{interest}=8395.253979-6500

\text{interest}=1895.253979\approx 1895.25

Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.

7 0
3 years ago
Solve.<br> -6&lt;3n+9&lt;21<br> Thanks!
almond37 [142]

Answer:

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5 0
3 years ago
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Total consumption of fruit juice in a particular country in 2006 was about 1.85 billion gallons. The population of that country
Eduardwww [97]

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person

Hence, this is the required solution.

4 0
3 years ago
How do i find the volume of these similar solids? round to the nearest tenth HELP
FromTheMoon [43]

Answer:

The volume of the larger solid is 592.6\ mm^3

Step-by-step explanation:

<u><em>The question is</em></u>

If these solids are similar, find the volume of the larger solid

step 1      

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

z=\frac{x}{y}

we have

x=4\ mm\\y=3\ mm

substitute

z=\frac{4}{3} ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

z^3=\frac{x}{y}

we have

z=\frac{4}{3}

y=250\ mm^3

substitute the values

(\frac{4}{3})^3=\frac{x}{250}

solve for x

(\frac{64}{27})=\frac{x}{250}

x=250(\frac{64}{27})

x=592.6\ mm^3

4 0
3 years ago
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