if f(x)=x/2 and g(x) = x-3,what is the value of g(f(8))

Answers

Answer 1

f(x) = x/2
g(x) = x - 3

f(8) = 8/2 = 4

g(f(x)) = 4 - 3 = 1

Answer g(f(8)) = 1

Answer 2

Comment.
The first thing to do is find out what f(x) put into g(x) is and what it means.

Step One
Put f(x) into g(x). This means wherever you see an x in g(x) you put f(x)
g(x) = x - 3
g( f(x) ) = f(x) - 3
g( f(x) ) = x/2 - 3

Step Two
When you know what g(f(x)) you now put an 8 wherever you see an x.
Find g(f(8)) = x/2 - 3
g(f(8)) = 8/2 - 3
g(f(8)) = 4 - 3
g(f(8)) = 1

1 <<<<< answer.

Related Questions

Write 2^-3=1/8 in logarithmic form

Answers

That is your answer if it is wrong i will try to fix it

sally made 10L of lemonade to sell for a fundraiser. if she puts 230ml of lemonade in each cup and sells each cup for fifty cents how much money can she make? how many ml of lemonade will remain? show work please

Answers

so 10L is equivalent to 10,000 mL (I moved the decimal place three to the right)
so now, divide 10,000 by 230 which is roughly 43 (it was a decimal, so what you're gonna have to do is, take 230 and multiply it by 43 to see what you get which is 9890. Now take 9890 and subtract it from 10,000 which gets you 110 mL).
So there is 110 mL left over.
So Sally sold 230 cups of lemonade, now multiply those 230 cups by 50 cents (or $0.50 (multiplying it by 0.50 will save you from having to move the decimal places over to the left)
230 x .50 = $115

When was Louisville cooler, in December - 3/5F or in January -9/2F?

Answers

It is cooler in January

Answer: Louisville was cooler in January (-9/2 F) than in December

(-3.5 F).

Step-by-step explanation: PLATO

expressions equivalent to 4 square root 5

Answers

I think it might be 80...

The answer May be 625

Ernesto plans to build a pen for his pet iguana. Think about these two different questions. What is the area of the largest rectangular pen that he can make with 400 meters of fencing? What is the area of the largest circular pen he can make with the 400 meters of fencing?

Answers

The area of the rectangular pen is 10,000 m² and the area of the circular pen is 12,738.95 m².

For the rectangular pen, we want the sides to be congruent. To minimize perimeter and maximize area, the figure needs to be equilateral.

400/4 = 100 m for each side

This means that the area is 100(100) = 10,000 m².

If the pen is circular, this means the circumference is 400 m. Circumference is given by the formula C=πd:

400 = 3.14d

Divide both sides by 3.14:
400/3.14 = 3.14d/3.14
127.389 = d

The radius is half of the diameter:
r = 127.389/2 = 63.6945

The area of the circle is given by A=πr²:

A=3.14(63.6945)² = 12738.9465 ≈ 12738.95 m²

Final answer:

Given 400 meters of fencing, constructing a square pen would result in an area of 10,000 square meters, while a circular pen would yield approximately 12,732 square meters, making the circular pen the larger option.

Explanation:

Ernesto wants to construct the largest possible pen for his iguana using 400 meters of fencing. To determine the maximum area of a rectangular pen, we can use the principle that a square will always provide the largest area for a given perimeter. In the case of a rectangular enclosure, we form a square with each side being one-fourth of the total available fencing, here being L/4 where L is 400 meters. Thus, each side of the square would be 400/4 = 100 meters. The area of such a square would be side × side = 100 m × 100 m = 10,000 square meters.

For the circular pen, the entire length of fencing would be the circumference of the circle. Given the formula for circumference is C = 2πr, where r is the radius, we set 400 = 2πr to solve for r, which is approximately 63.66 meters. The area of a circle is given by A = πr², which would then be approximately π(63.66)^2 ≈ 12,732 square meters. Therefore, a circular pen would provide a larger enclosed area compared to a square one given the same amount of fencing.

Miss Valens withdrew $525 from her savings account over a period of 14 days. Which ratio represents the daily change in her account balance?
(multi choice picture below)

Answers

the answer should be -525/14

It says that she withdrew 525 dollars from a saving account over a total period of 14 days.

As this amount is debited from her account, so it would be a negative number in her passbook i.e. -525 dollars.

To find the average change in the account balance, we can divide the total amount withdrawn from the account by the total number of days.

Average change in account balance = [tex]\frac{debited \;amount}{total \;time \;period}[/tex] .

Average change = [tex]\frac{-525}{14}[/tex]

Hence, option A is correct i.e. [tex]\frac{-525}{14}[/tex].

if i I wanted to be precise, how can I express the exact circumference for the circumference given the diameter

Answers

The formula for circumference is [tex] \pi d[/tex].

To express the circumference exactly, plug the diameter in for [tex]d[/tex] and put the [tex] \pi [/tex] symbol in front of it. Don't multiply. This expresses the exact circumference.

Say you have the diameter of 17.
You can express the circumference with 17[tex] \pi [/tex].

How many outcomes are there for the event of rolling a 6-sided number cube and then spinning a 4-part spinner?

Answers

For each sides of the cube that can be rolled, there are 4 parts that the spinner can land on. So the number of outcomes is 6*4, or 24.

Final answer:

To determine the total outcomes for a 6-sided die and a 4-part spinner, simply multiply the outcomes for each, resulting in 24 unique outcomes.

Explanation:

When calculating the number of outcomes for rolling a 6-sided die and then spinning a 4-part spinner, we need to consider the principle of counting. The die has six possible outcomes: 1, 2, 3, 4, 5, and 6. The spinner has four possible outcomes.

To find the total number of combined outcomes, we multiply the number of outcomes of the die by the number of outcomes of the spinner. Therefore, the total number of outcomes is 6 (from the die) times 4 (from the spinner) which equals 24 unique outcomes.

which choice shows three lengths that cannot be the lengths of the three sides of a triangle

Answers

For triangles Sum of any Two sides should be always more than the length of the Third side.
A) 2cm,8cm,8cm
8+8=16 >2 True
8+2=10 >8, True
8+2=10 >8, True
B) 2cm,3cm,6cm
2+3=5 > 6 False. It is impossible in a triangle.
3+6=9 > 2 True
2+6=8 >3 True

The answer is B.

The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 8:5. If there are no additional butterflies at the farm, what is the ratio of Queen butterflies to the total number of butterflies at the farm?

Answers

The ratio would be 5:13

Answer:

the answer is 2:7

Step-by-step explanation:

just because

Match each rational expression to its simplest form.

Answers

First, we are going to simplify each rational expression:
[tex] \frac{2m^2-4m}{2(m-2)} = \frac{2m(m-2)}{2(m-2)} =m[/tex]

[tex] \frac{m^2-2m+1}{m-1} = \frac{(m-1)^2}{m-1} =m-1[/tex]

[tex] \frac{m^2-3m+2}{m^2-m} = \frac{(m-2)(m-1)}{m(m-1)} = \frac{m-2}{m} [/tex]

[tex] \frac{m^2-m-2}{m^2-1} = \frac{(m+1)(m-2)}{(m+1)(m-1)} = \frac{m-2}{m-1} [/tex]

We can conclude that you should your rational expressions as follows:
[tex]\frac{m-2}{m}----\ \textgreater \ \frac{m^2-3m+2}{m^2-m} [/tex]

[tex]m-1----\ \textgreater \ \frac{m^2-2m+1}{m-1}[/tex]

[tex]\frac{m-2}{m-1}----\ \textgreater \ \frac{m^2-m-2}{m^2-1}[/tex]

[tex]m----\ \textgreater \ \frac{2m^2-4m}{2(m-2)}[/tex]

Answer:

m-2/m=m^2-3m+2/m^2-m

m-1=m^2-2m+2m+1/m-1

Step-by-step explanation:

A stack of cards is numbered 1 to 21. Kelly pulls one card from the stack. What is the best approximation for the probability that the card is an even number

5%, 21%, 48%, or 52%

Please help Asap

Answers

first count up all of the odd number cards in the stack. 11. then even. 10. it's about equal but odd has more, so the odds for an even card is a little under 50%. the answer is the third one

[tex] |\Omega|=21\\
|A|=10\\\\
P(A)=\dfrac{10}{21}\approx48\% [/tex]

Evaluate the expression, mn if m=6 and n=4. A. 24 B. 64 C. 1,296 D.4,096

Answers

Final answer:

To solve for the expression mn with m=6 and n=4, the values are multiplied to get 6 × 4 = 24. Therefore, the answer is 24, which corresponds to Option A.

Explanation:

To evaluate the expression mn when m=6 and n=4, you simply multiply the values of m and n together.

The calculation is as follows:

m × n = 6 × 4

Therefore, the value of mn is 24.

So, the correct answer is Option A: 24.

The correct answer is A. 24. The expression, mn is 24.

To evaluate the expression [tex]$ mn $[/tex] when [tex]$ m = 6 $[/tex] and [tex]$ n = 4 $[/tex], we simply multiply the two numbers together:

[tex]$ mn = (6)(4) $.[/tex]

Now, let's perform the multiplication:

[tex]$ 6 \times 4 = 24 $[/tex].

Therefore, the value of [tex]$ mn $[/tex] when [tex]$ m = 6 $[/tex] and [tex]$ n = 4 $[/tex] is 24.

The other options provided in the question are incorrect because they do not result from the multiplication of [tex]$ m $[/tex] and [tex]$ n $[/tex] as given:

B. [tex]$ 64 $ is $ 4^3 $ or $ 2^6 $[/tex], which is not the product of [tex]$ m $[/tex] and [tex]$ n $[/tex].

C. [tex]$ 1,296 $ is $ 6^4 $ or $ 2^{10} $[/tex], which is also not the product of [tex]$ m $[/tex] and [tex]$ n $[/tex].

D.[tex]$ 4,096 $ is $ 4^6 $ or $ 2^{12} $[/tex], which again is not the product of [tex]$ m $[/tex] and [tex]$ n $[/tex].

The only correct answer is A. [tex]$ 24 $[/tex], which is the result of multiplying [tex]$ m $[/tex] by [tex]$ n $[/tex].

Evaluate the expression. Write your answer in scientific notation. (9×10^−3)+(2.4×10^−5)÷0.0012

Answers

Final answer:

The given expression (9×10^−3)+(2.4×10^−5)÷0.0012 equals 2.9x10^-2 in scientific notation. The division operation was performed first and added to 9x10^-3, demonstrating the usefulness of scientific notation in simplifying arithmetic.

Explanation:

In order to evaluate the given expression (9×10^−3)+(2.4×10^−5)÷0.0012, you first need to perform the operations in parentheses which is the standard form of the expression to simplify it. Next, we must remember the order of mathematical operations, also known as BIDMAS or PEMDAS in mathematics: Brackets (or Parentheses), Indices (or Exponents), Division, Multiplication, Addition, and Subtraction.

However, in this expression we only have addition and a division to perform. The division operation takes precedence over addition, thus we first divide 2.4×10^−5 by 0.0012. The result of this can then be added to 9×10^−3. Let's perform these calculations:

2.4×10^−5 ÷ 0.0012 = 2×10^−2(9×10^−3)+(2×10^−2)= 0.029 or 2.9x10^-2 in scientific notation

So, the evaluated expression equals 2.9x10^-2 in scientific notation. This is a simplification of arithmetic using scientific notation, which helps to easily handle very large or very small numbers.

Learn more about Scientific Notation here:

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Give the equation y=35(0.57)^x.

Evaluate for x=5

Answers

"Y" might equal 2.1059221995.

The awnser I’m really have trouble finding a awnser

Answers

[tex]A = \pi r^2[/tex]
[tex]C=2 \pi r[/tex]
[tex] \pi r^2 = 50.24[/tex]
[tex] \pi r^2/ \pi =50.24/ \pi [/tex]
[tex]r^2 = 16[/tex]
[tex]r=4[/tex]
[tex]C = 2 \pi r[/tex]
[tex]C = 25.13[/tex]

Which equation is the perpendicular bisector of the line segment with endpoints (-2,4) (6,8)

Answers

Answer:
y = -2x + 10

Explanation:
The general equation of the linear line is:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
slope of the given two points is:
slope = [tex] \frac{8-4}{6--2} = 1/2[/tex]

We know that the line we are looking for is perpendicular to the line having these two points. Therefore, the product of the slope should be equal to -1.
This means that the slope of the line we are looking for is -2
The equation of the line we are looking for now is:
y = -2x + c

2- getting the y-intercept:
To get the y-intercept, we need a point that belongs to the line.
We know that the line passes through the midpoint of (-2,4) and (6,8). Therefore, we need to get the midpoint first:
midpoint = ([tex] \frac{x1+x2}{2} , \frac{y1+y2}{2} [/tex])

midpoint = (2,6)
Now, to get the value of the c, we will use the point we have, substitute in the equation and solve for c as follows:
y = -2x + c
6 = -2(2) + c
6 = -4 + c
c = 10

Based on the above, the equation of the line is:
y = -2x + 10

Hope this helps :)

Pre-image point N (6,-3) was dilated to point N(2,-1) What was the scale factor used?

Answers

Answer:
The scale factor is 1/3

Explanation:
Given that the original point is has coordinates (x,y) and that the dilated point has coordinates (x',y'), we can see that:
x' = k * x
y' = k * y
where k is the scale factor

Now, for the given point we have:
original point = (6 , -3)
dilated point = (2 , -1)
Now, applying the above formula, we will find that:
For x-coordinate:
2 = k * 6
k = 2/6
k = 1/3
Check using the y-coordinate:
-1 = k * -3
k = -1 / -3
k = 1/3

From the above, we can confirm that:
k = 1/3

Hope this helps :)

Answer:

1/3

Step-by-step explanation:

mark me brainy plz and thank u

Which of the following measures can be determined by analyzing a dot plot? Select all that apply.
range
median
mode
mean

Answers

All of it can be analyzed by a dot plot.

All of the statistical measures are used to analyze a dot plot.

What is the mean?

In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the quantity of observations).

All of the following measures can be determined by analyzing a dot plot:

Range: The difference between the highest and lowest values.

Median: The middle value when the data is arranged in order.

Mode: The value that appears most frequently in the data set.

Mean The average of all the values in the data set.

To learn more about the mean;

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I need an answer to this question please

Answers

D. 5 faces, 5 vertices, 8 edges!

First,, let's count how many vertexes our figure has. To find this out,, we need to count how many corners the figure has. On the bottom of the figure we have 4 vertexes,, and on the top we have 1 vertex which means we have 5 total vertexes. Now lets count how many faces our figure has. Since it is a 3D shape,, we have one face on the bottom and 4 faces around the triangle. This tells us that we have 5 faces. Finally,, we can count the edges by looking at lines of our triangle. Edges are the long corner lines that lead to the tip of the triangle,, which means that we have only 4 edges. This means that we have 5 faces,, 5 vertices,, and 4 edges making the correct answer option C.
Let me know if you have any further questions.
:)

how much would $200 invested at 4% interest compounded monthly be worth after 8 years round your answer to the nearest tenth

Answers

Answer:

The amount is $275.3

Step-by-step explanation:

We can use amount formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the amount

P is money invested

r is interest rate

n is number of periods

t is time in years

we are given

P=200

r=4%=0.04

t=8

n=12

so, we can plug these values

[tex]A=200(1+\frac{0.04}{12})^{12\times 8}[/tex]

we can simplify it

and we get

[tex]A=275.3[/tex]

So,

The amount is $275.3

What is twenty percent of 30

Answers

the answer is 0.20 times 30 = 6

20% × 30 =

(20 ÷ 100) × 30 =

(20 × 30) ÷ 100 =

600 ÷ 100 =

6

That would be 6

triangle with base 12.5m and height 2.4m

Answers

since the formula is base * height * 1/2, you multiply 12.5 to 2.4 to get 30. Then multiply 30 to 1/2 to get 15.

how do i simplify 40 15×40 2

Answers

I am going to assume that you meant 40(15 x 40)2,, but if not then please let me know and I will fix my answer for you.
The first step for solving this is to multiply the numbers in the parenthesis.
40 x 600 x 2
Now multiply the first two numbers together.
24000 x 2
Multiply the final two numbers together to get your answer.
48000
Let me know if you have any further questions.
:)

A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. What is the probability that it is a multiple of 6 given that it is a 2-digit number?

Answers

The probability is 7/41.

We are looking for
P(multiple of 6 given 2 digit) = P(2 digit & multiple of 6)/P(2 digit)

There are 7 2-digit numbers that are multiples of 6 between 1 and 50, out of 50 numbers; P(2 digit & multiple of 6) = 7/50

There are 41 2-digit numbers out of 50; P(2 digit) = 41/50

This gives us 7/50 ÷ 41/50 = 7/50 × 50/41 = 7/41

The probability is the ratio of the favorable event to the total number of events. Then the probability that it is a multiple of 6 is 0.16 or 16%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A bucket contains 50 lottery balls numbered 1-50. One is drawn at random.

Total event = 50

Favorable event = 8 {6, 12, 18, 24, 30, 36, 42, 48}

Then the probability will be

[tex]\rm P = \dfrac{8}{50}\\\\P = 0.16\\\\P = 16\%[/tex]

More about the probability link is given below.

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West and Company uses the LIFO method to calculate inventory values. Their beginning inventory consisted of 200 units at a cost of $9.00 each. Purchases include 300 units at $10.00 each on February 18; 400 units at $11.00 each on July 16; and 100 units at $12.00 each on December 5. If there were 300 units remaining in imventory at the end of the year, what was the cost of goods sold?

Answers

The total inventory is 200 + 300 + 400 + 100 = 1000. If 300 units remained, the we calculate the cost of the 700 sold via LIFO. These 700 units include the 100 units at $12.00, the 400 units at $11.00, and 200 units at $10.00 (out of the 300 purchased). This is a total cost of 100*12 + 400*11 + 200*10 = 1200 + 4400 + 2000 = $7600.

Need some help! Find the area of this shape.

Answers

Split it up into 4 separate shapes as shown in the attached picture:
shape 1 and 3 are identical triangles
area = 1/2 x B x H
area = 1/2 x 2 x 2 = 2 square cm each ( there are 2 so 2+2= 4 square cm for shape 1 & 3)

shape 2 is a rectangle area = L x w = 4*2 = 8 square cm

shape 4 is a triangle
area = 1/2 x b x h = 1/2 x 8 x 5.75 = 23 square cm

total area add all the shapes together: 4 + 8 + 23 = 35 square cm

write the equation of the line that passes through the points (-2,3) and (-2,5)

Answers

(5-3)/(-2+2)= 2/0 undefined

PLEASE HELP!!!!!!!!!!! Kim wants to know if the number of words on a page in her math book is generally more than the number of words on a page in her poetry book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

Book Mean Median Mean absolute deviation
Math 49.9 43 10.2
Poetry 41.5 42 1.1

Kim claims that because the mean number of words on each page in the math book is greater than the mean number of words on each page in the poetry book, the math book has more words per page. Based on the data, is this a valid inference? (5 points)

Yes, because the mean is larger in the math book

No, because the mean is larger in the math book

No, because there is a lot of variability in the math book data

Yes, because there is a lot of variability in the math book data

YOU WILL GET BRAINIEST

Answers

It's D, because the mean doesn't matter as much if it's only taken in a small variability. The mean was selected from 25 random pages in the book, that is why it is right.

Answer:

Yes, because the mean is larger in the math book.

Step-by-step explanation:

According to Kim's calculations

The mean of the Math Book is 49.9, this means there are 49.9 per page.The mean of the Poetry Book is 41.5, which means there are 41.5 per page.

Remember that a mean is defined as the quotient between the sum of all elements and the total number.

According to this calculations, the Math Book has more words per page, based on its greater mean.

Therefore, the right answer is the first choice.

Can someone help me please

Answers

Here are you

Have a good day

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