Given f(x)2x and g(x) = x^2+3 , find f(g(x)).

Answer: To convert a Unit Rate into another, we have to multiply the original Unit Rate by one or two Unit Ratios.

Step-by-step explanation:

Unit rates are usually convertible to other units using multiplication and division attributes to ensure equivalence depending on preference or units being converted. Once the ratio or proportion between the two units (original and target) have been obtained, the original Unit is multiplied by the ratio of the two units to obtain the target unit rate. This way both units are equivalent to each other.

Answer:-16

Step-by-step explanation:

Answer: in the case of rolling a die the event of getting an 'odd-face' and the event of getting 'less than 4' are not mutually exclusive and they are also known as compatible event. The event of getting an 'odd-face' and the event of getting 'less than 4' occur when we get either 1 or 3.

Step-by-step explanation:

also turning ur body (left and right)

Answer:

This is easy math. 11-5=6. Six frogs are in the water.

Step-by-step explanation:

11 represents the whole of frogs, and 5 represents the frogs in the water.

Answer:

10

Step-by-step explanation:

20/2=10 so x=10

Answer:

10

Step-by-step explanation:

Hello!

f(x) = 3x + 2

Since you are provided with f(5), we will replace every "x" in the equation with the number 5.

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

I hope this helps you! Have a great day!

- Mal

Answer:

you can use an online graphing calculator

Step-by-step explanation:

Use the link in the screenshot

btw, the line after the word calculator is the cursor, so don't put anything after the word calculator.

Answer: No, its not always true

It is possible to have a parallel line form, but you could easily have the new line intersect the old one. It depends on how you place the points.

Side note: Parallel lines have equal slopes but different y intercepts.

Answer:

[tex]C = (30,500)[/tex]

Step-by-step explanation:

Given

[tex]Area = 1800ft^2[/tex]

[tex]A = (6,0)[/tex]

[tex]B = (0,25)[/tex]

[tex]C(x,y) = (30,y)[/tex]

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]

This gives:

[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]

[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]

[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]

[tex]1800= \frac{|-600- 6y |}{2}[/tex]

Multiply through by 2

[tex]2 * 1800= |-600- 6y|[/tex]

[tex]3600= |-600- 6y|[/tex]

[tex]3600= |-(600+ 6y)|[/tex]

[tex]3600= 600+ 6y[/tex]

Solve for 6y

[tex]6y = 3600 - 600[/tex]

[tex]6y = 3000[/tex]

Solve for y

[tex]y = 3000/6[/tex]

[tex]y = 500[/tex]

Hence:

The point is:

[tex]C = (30,500)[/tex]

A: How many total hours were worked this week?

Answer- 14 hours were worked this week

B: How many overtime hours were worked?

Answer- 36 overtime hours were worked

I hope this helps you out!!

Answer:

A. 41 hours were worked the whole week

Answer:

(−7 / 2, −1)

Step-by-step explanation:

Answer:

1357ft^3 but to the nearest tenths place is 1360ft^3

Step-by-step explanation:

Answer:

1357.2

Step-by-step explanation:

h=12  d=12 r=6

v=(6)∧2(12)

v=1357.16802635

v=1357.2ft∧3

Answer:

9 months

Step-by-step explanation:

peter is saving 35 dollars per month.  

295=35x

295/35=8.42 which is less than 295

9 is an approximate answer

35*9 equals 315, which is enough to pay 295 and have 20 dollars left over

Since she earns $180 in 18 hours, she earns a rate of $ 180/18 per hour, which is $10 per hour.

In 30 hours she earns 30 times 10 dollars, which is 300 dollars.

You could also set up a proportion saying that 180/18 = x/30, then cross multiply to get 18x = 5400, and divide by 18 on both sides to get 300.

Answer:

Mabel will earn 300$ in 30 hours

Step-by-step explanation:

I took 180 and divided it by 18 so that I can find how much money she earns per hour.

180÷18= 10

10 × 30= 300

Answer:

D

Step-by-step explanation:

Comment above.

Your answer is 1.54737637e11

Answer:

154737637418

Step-by-step explanation:

Answer:

Since the numbers are missing, I looked for a similar question:

Mr. Jones has $9000 to invest in three types of stocks: low-risk, medium-risk and high-risk. He invests according to the following rules: the amount invested in low-risk stocks will be at most $1000 more than the amount invested in medium-risk stocks. At least $7000 will be invested in a combination of low- and medium-risk stocks. No more than $7000 will be invested in a combination of medium- and high-risk stocks. The expected annual returns are 6% for low-risk stocks, 7% for medium-risk stocks, and 8% for high-risk stocks. How much should he invest in each type of stock to maximize his total expected yield?

let:

L = low risk stocks

M = medium risk stocks

H = high risk stocks  

maximize 0.06L + 0.07M + 0.08H

L + M + H ≤ 9000

L ≥ M + 1000

L + M ≥ 7000

M + H ≤ 7000

using solver, the optimal solution = 4,000L + 3,000M + 2,000H , which yields a maximum profit = $610

Mr. Jones should invest $4,000 in low risk stocks, $3,000 in medium risk stocks and $2,000 in high risk stocks.

Answer:

-6

Step-by-step explanation:

I hope this helps!

Answer:

-3

Step-by-step explanation:

Answer:

(a) The difference between Kate's IQ and the mean is 21

(b) The z score is 1.4

Step-by-step explanation:

Here is the complete question:

IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean (b) Convert Kate's IQ score to a z score.

Step-by-step explanation:

(a) To determine the difference between Kate's IQ and the mean, this can be done by subtracting the mean from Kate's IQ.

Mean = 100

Kate's IQ = 121

Difference between Kate's IQ and the mean = 121 - 100 = 21

Hence, the difference between Kate's IQ and the mean is 21.

(b) To convert Kate's IQ score to a z score,

z score is given by the formula

[tex]z =\frac{x - \mu}{\sigma}[/tex]

Where [tex]x[/tex] is the score

[tex]\mu[/tex] is the mean

and [tex]\sigma[/tex] is the standard deviation

From the question,

[tex]x[/tex] = 121

[tex]\mu[/tex] = 100

[tex]\sigma[/tex] = 15

Then, the z score is

[tex]z =\frac{x - \mu}{\sigma}[/tex]

[tex]z =\frac{121 - 100}{15}[/tex]

[tex]z =\frac{21}{15}[/tex]

[tex]z =\frac{7}{5}[/tex]

z = 1.4

Hence, the z score is 1.4.

Answer:

14

Step-by-step explanation:

Step 1:

2 ( 3b - 2 ) = 2 ( 2b + 12 )     Equation

Step 2:

6b - 4 = 4b + 24     Multiply

Step 3:

6b = 4b + 28    Add 4 on both sides

Step 4:

2b = 28     Subtract 4b on both sides

Step 5:

b = 28 ÷ 2    Divide

Answer:

b = 14

Hope This Helps :)

Answer:-1.25

Step-by-step explanation: First you add -3 and -7 it is -10/8 then you devide -10/8 and it is -1.25

Answer:

Error: Multiplied both sides by 3/4 instead of 4/3.

Solution: x = 16

Step-by-step explanation:

The error is that you multiplied both sides by [tex]\frac{3}{4}[/tex] instead of dividing both sides by [tex]\frac{3}{4}[/tex].

This is an error because:

[tex]\frac{3}{4} *\frac{3}{4} x\neq x[/tex]

Actually:

[tex]\frac{3}{4} *\frac{3}{4} x=\frac{9}{16} x[/tex]

What you want to do instead is divide both sides by [tex]\frac{3}{4}[/tex]. Remember, dividing both sides by [tex]\frac{3}{4}[/tex] would be the same as multiplying both sides by [tex]\frac{4}{3}[/tex].

Now, lets find the correct answer:

[tex]\frac{3}{4}x=12[/tex]

Multiply both sides by 4/3.

x = 16

So the correct answer would be x = 16.

I hope this helps. Happy studying.

I think the correct answer would be :

Domain is all Reals , Range is all Reals.

Answer:D

Step-by-step explanation:

I got you!

Solve for nn by simplifying both sides of the equation, then isolating the variable.

n=4, −2

Answer:

We know that a modulus gives us the absolute value of a number

Hence,  this modulus will give a positive value, regardless of the actual value in the modulus

| -1 + n | = 3

(-1 + n) or (1 - n) = 3 -------------------This tells us that either one of the values will          give us the same answer

-1 + n = 3   or   1 - n = 3

n = 4          or   n = -2  

Answer:

2.5y=amount spent on drinks

Step-by-step explanation:

If chips are $2 and drinks are $2.50 and we do not know how many he bought of each, we put this into an equation which is

2x+2.5y

x=number of bags of chips while the 2 is two dollars per bag

so, if he bought 2 bags of chips 2(2)= $4 spent.

y= number of drinks and 2.5 is $2.5 per drink, so if he bought 4 drinks:

2.5(4)= $10 spent on drinks.