evaluate the​ expression, ​(g◦​f)(3​), given the following functions.
​f(x)=x+2 and ​g(x)=x

Answer:

64π or 201.0619298297

Step-by-step explanation:

Area of a circle: πr²

To find r, the radius of the circle, take the diameter (16) and halve it to get 8. You can now place 8 into the equation to get π8². Square 8 to get 64. You now now have π64, or 201.0619298297.

Answer:

either a full cup or 1 1/2

Answer:

$5545.10

Step-by-step explanation:

3.55% of $156,200 = $5545.10

Answer:

she has no more money

Step-by-step explanation:

Answer:

7.78 if u subtract

but no more money i guess

jfjkejkiydtmhfsngdjfs

Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

For example, 2/3 + 3/6

The denominators in this case have a common denominator which is 6.

All you have to do is multiply the 2/3 by 2 in the numerator and the denominator. Once you do, you'll get 4/6 which you could then add to 3/6 to get 7/6 which would equal 1 1/6 or 7/6 either is fine.

Hope this helps! :)

Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

7 * 5 = 35

Answer:

Step-by-step explanation:

When you divide two negative numbers, the negative sign cancels. So you just get an answer of 6.

Answer:

6

Step-by-step explanation:

-54 / -9

ok so first of all we can just change them to positive

54 / 9

this is what goes on in my head

the 2 digits equal 9

a number times 9 is just that number less then that number times 10

54 / 9 = 6

-54 / -9 = 6

Answer:

r=4.5% daily

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We know after t=32 days, the population has increased by 309%. Being the original population P the 100%, then the population reached 309+100= 409%.

Substitute the given values into the model function:

[tex]409\%P_o=100\%P_o(1+r)^{32}[/tex]

Simplifying:

[tex]4.09=(1+r)^{32}[/tex]

We need to solve for r. Taking the 32nd root:

[tex]\sqrt[32]{4.09}=\sqrt[32]{(1+r)^{32}}[/tex]

Simplifying:

[tex]1+r=\sqrt[32]{4.09}=1.045[/tex]

Solving:

[tex]r=1.045-1\Rightarrow r=0.045[/tex]

r=4.5% daily

Answer:

I think 21 is it right ...

Answer:

2.828427125, 2.82 or just round it to 3 if you want

Step-by-step explanation:

All you have to do is type it into the Desmos Scientific Calculator exactly how you see it.

Answer:

8

Step-by-step explanation:

2/3*12=24/3=8

easy way:

2/3*12/1=24/3=8

Answer:

True

Step-by-step explanation:

In a translation, the figures face the same direction and are congruent.

Answer:

The solution to 9x10^-2 is 0.09 or (3/10)^2. The solution to 3x10^-4 is 0.0003 or 3/10000. Based on that, 9x10^-2 fits into 3x10^-4 three-hundred (300) times.

Answer:

5(n-3)

Step-by-step explanation:

There would be parenthesis because you'd subtract three from the number first.

Answer:  so, 60 hours = 60/24 days = 2 days 12 hrs

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

The expression 0.50 x² - x + 0.25 is a polynomial.

It is given that Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25.

We have to find out that whether the expression given is a polynomial ?

What do you mean by a polynomial ?

Polynomials are algebraic expressions that consist of variables and coefficients e.g., polynomial with one variable is x² + x - 12.

As per the question ;

Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25

Let's check ;

(2x² - 4x + 1 ) ÷ 4

= [tex]\frac{2x^{2} }{4}[/tex] - [tex]\frac{4x}{4}[/tex] + [tex]\frac{1}{4}[/tex]

= [tex]\frac{x^{2}}{2}[/tex] - x + 0.25

or

= 0.50 x² - x + 0.25

or a form of polynomial i.e., ax² + bx + c.

Thus , the expression 0.50 x² - x + 0.25 is a polynomial.

To learn more about polynomials click here ;

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Given:

Expression is

[tex]3r^2-2r+4[/tex]

To prove:

If r is any rational number, then [tex]3r^2-2r+4[/tex] is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

[tex]3r^2-2r+4[/tex]

It can be written as

[tex]3(r\times r)-2r+4[/tex]

Now,

3, -2 and 4 are rational numbers by property 1.

[tex]r^2=r\times r[/tex] is rational by Property 3.

[tex]3r^2\text{ and }-2r[/tex] are rational by Property 3.

[tex]3r^2+(-2r)+4[/tex] is rational by property 2.

So, [tex]3r^2-2r+4[/tex] is rational.

Hence proved.

We want to prove that if r is rational, then:

[tex]3*r^2 - 2r + 4[/tex]  Is also rational.

The proof is below:

Remember that a rational number is any number that can be written as a quotient of two integer numbers.

Then we have:

[tex]r = \frac{a}{b}[/tex]

Where a and b are integers.

If we replace that in our equation, we get:

[tex]3*(\frac{a}{b}) ^2 - 2*(\frac{a}{b}) + 4\\\\\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}[/tex]

Note that if a is an integer, then 3*a^2 is also an integer.

If b is an integer, then b^2 is also an integer.

Now we can perform the sum of these fractions to get:

[tex]\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}\\\\\frac{3a^2 - 2ab + 4b^2}{b^2}[/tex]

And because integers are closed under the addition, then the numerator of that fraction is also an integer, then we have that the given expression can be written as a quotient of two integers, thus, it is a rational number.

If you want to learn more, you can read:

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Answer:

-3/2, 1.25, |-9/4|, 2.5, 121

Step-by-step explanation:

Convert all numbers to a decimal

-3/2 = -1.5

|-9/4| = 2.25

2.5 = 2.5

121 = 121.0

1.25 = 1.25

Now put them in order from least to greatest.

-3/2, 1.25, |-9/4|, 2.5, 121

The numbers to the lines to order from least to greatest; -3/2, 1.25, |-9/4|, 2.5, 121

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Convert all the numbers to a decimal

-3/2 = -1.5

|-9/4| = 2.25

2.5 = 2.5

121 = 121.0

1.25 = 1.25

Now put them in order from least to greatest, we get;

-3/2, 1.25, |-9/4|, 2.5, 121

Learn more about place value here:

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Answer:

which class you are plz say dude

Answer:

it would have won 1/3 or .333333

Step-by-step explanation:

8/24 simplifies to 1/3, which equals .33333

Answer:

I'm pretty sure it's 33%

Step-by-step explanation:

8 is 1/3 of 24 and 1/3 as a fraction is 33%

Answer:

9.3333333

Step-by-step explanation:

Answer:

[tex] \frac{9}{4} \div \frac{1}{4}

\frac{9}{4} \times \frac{4}{1}

= \frac{34}{4} \\ \\ \\ \\ = 9[/tex]

Answer:

X^2+5x-50

Step-by-step explanation:

X^2-5x+10x-50

Answer:

X² - 5x + 10x - 50

Step-by-step explanation:

Use the FOIL method!

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation: