==========================================================
Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 4x³ - 10
g(x) = (3x - 4) / 2
The function g(f(x)) is written as,
g(f(x)) = [3(4x³ - 10) - 4] / 2
g(f(x)) = [12x³ - 30 - 4] / 2
g(f(x)) = [12x³ - 34] / 2
g(f(x)) = [6x³ - 17]
The value of the function g(f(x)) at x = 2 will be given as,
g(f(2)) = [6(2)³ - 17]
g(f(2)) = 6(8) - 17
g(f(2)) = 48 - 17
g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order costing system and computes a predetermined overhead rate in each production department. The Milling Department's predetermined overhead rate is based on machine-hours and the Customizing Department's predetermined overhead rate is based on direct labor-hours. At the beginning of the current year, the company had made the following estimates:
Milling Customizing
Machine-hours 18,000 13,000
Direct labor-hours 4,000 7,000
Total fixed manufacturing overhead cost $ 113,400 $ 64,400
Variable manufacturing overhead per machine-hour $ 1.60
Variable manufacturing overhead per direct labor-hour $ 3.90
During the current month the company started and finished Job A319. The following data were recorded for this job:
Job A319: Milling Customizing
Machine-hours 60 10
Direct labor-hours 20 60
Direct materials $ 655 $ 305
Direct labor cost $ 400 $ 1,200The amount of overhead applied in the Milling Department to Job A319 is closest to:
A. $552.00
B. $474.00
C. $142,200.00
D. $96.00​
Answer:
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order
The buyer of a car pays Php 169,000 cash and Php 12, 000 every month for 5 years. If money is 10% compounded monthly, how much is the cash price of the car?
Answer:
Step-by-step explanation:
what is 8 equitation 2+3(36 divided by 6) -2
Answer:
18
Step-by-step explanation:
2+3(36/6)-2 = 2+3(6)-2 = 2+18-2 = 18
Answer:
18
I don't know what that 8 is about but if you want to solve the equation here is the answer
Step-by-step explanation:
2+3(36/6)-2
2+3(6)-2
2+18-2
18
Answer: 18
e/2 < -1 I need help!!! Ty
Answer: you cant solve this solution
Step-by-step explanation:
Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.
Answer:
2/8, 5/8
Step-by-step explanation:
[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.
The fraction is 2/8 and the sum is 5/8.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
let the numerator be x when denominator is 8.
so, 1/4 = x /8
8 = 4x
x= 8/4
x= 2
Now, fraction resulted above is added with 3/8
2/8 + 3/8
= (2+3)/8
= 5/8
Hence, the sum is 5/8.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
how many terms of arithmetic sequence 3;11;19.... will add up to 1580
Answer:1.58
Step-by-step explanation:
The number of terms in the sequence will be 20 adds up to 1580.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question, as follows:
3; 11; 19....
We have to determine the number of terms of the sequence will add up to 1580
The sum of an arithmetic sequence is the sum of the first n terms of the sequence as
Sₙ = n/2(2a+(n−1)d)
In arithmetic, here a₁ is the first term and sequence d represents the common difference.
As per the question,
d = 11 - 3 = 8, a = 2 and S = 1580
Substitute the known values in the formula, and solve for n
1580 = n/2(2x3+(n-1)8)
1580 x 2 = n(6 + 8n - 8)
Solving the above equation, we get
n = 20, and -79/4
Thus, the number of terms in the sequence will 20.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
#SPJ2
1. What is the LCM of 15 and 100?
a. 400
b. 300
c. 200
d. 100
Answer:
b. 300
i need 20 words this is filler
-0.5 how do I write the repeating decimal as a fraction?
Answer:
-1/2
Step-by-step explanation:
Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.
5.6 x N= 2.24 N=? Please help
Answer:
N = -3.36
Step-by-step explanation:
5.6 x N= 2.24
-5.6 -5.6
N= -3.36
Answer:
N= 0.4
Step-by-step explanation:
5.6 x N= 2.24
Divide both sides by 5.6
5.6 and 5.6 cancel out
2.24/5.6= 0.4
Check your work
5.6 x 0.4 =2.24
0.4 is correct
Hope this helps ^-^
Which equation represents a linear equation
Answer:
I'm thinking it's A or C
Step-by-step explanation:
I'm sorry I can't decide ;-;
Answer:
The 4th answer.
Step-by-step explanation:
It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.
Parallelogram ABCD is similar to parallelogram EFGH. Which proportion must be true?
A. BC FG = CD GH
B. FG BC = CD GH
C. AB HG = CB FG
D. BA EH = CD FG
Answer:
I believe the answer is D
Step-by-step explanation:
that one made them ost sense to me but I'm sorry if I'm wrong
Please help me with this equation below.
Answer:
a) We have an aspect ratio of 4:3
This means that the width of the screen, W, is about 4/3 times the height of the screen, H.
Then we have the equation:
W = (4/3)*H
And the diagonal of a rectangle with width W and height H is:
D = √(W^2 + H^2)
Then if we have a 15 in TV, then we have D = 15 in.
Then we have:
15 in = √(W^2 + H^2)
Now we can use the relation W = (4/3)*H and replace this in the above equation:
15 in = √(((4/3)*H)^2 + H^2)
Now we can solve this for H:
15in = √( (16/9)*H^2 + H^2)
(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2
(9/25)*(15in)^2 = H^2
√( (9/25)*(15in)^2) = H
(3/5)*(15in) = H = 9 in
The height is 9 inches, and the width will be:
W = (4/3)*9in = 12in.
Now let's do the same for a 42 in tv.
We can use the same equation than before, this time we get:
42 in = √(((4/3)*H)^2 + H^2)
We can do the exact same procedure as before, and we will get:
(3/5)*(42in) = H = 25.2 in
Then the width is
W = (4/3)*H = (4/3)*25.2in = 33.6 in
b) Now we do the same, but now we have the relation:
W = (16/9)*H
Then if D is the diagonal, we have the equation:
D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)
This time we can simplify it for any general D.
D^2 = (16/9)^2*H^2 + H^2
D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2
D^2 = (337/81)*H^2
(81/337)*D^2 = H^2
√( (81/337)*D^2) = H
(9/18.36)*D = H
Then if we have a 42 in TV, the height is:
(9/18.36)*42in = H = 20.59 in
And the width will be:
W = (16/9)*H = (16/9)*20.59in = 36.60 in
If we have a 60 in TV, we get:
(9/18.36)*60in = H = 29.41 in
And the width will be:
W = (16/9)*H = (16/9)*29.41in = 52.29 in
c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.
multiples that are shared by two or more numbers called
Answer: Common Multiples
Step-by-step explanation:
✨6 grade math✨ Step by step pls
Answer:
pemdas!!
p=( ), [, ]
e= exponts
m and d= multiplaction and division
a and s = add and subtract
now 3x(3+12/3)-4
= 3x(3+4)/4
= 3x(7)/4
= 3x7/4
= 21-4
= 17
Step-by-step explanation:
Step-by-step explanation:
[tex]3 \times (3 + 12 \div 3) - 4 \\ \\ = 3 \times (3 + 4) - 4 \\ \\ = 3 \times 7 - 4 \\ \\ = 21 - 4 \\ \\ = 17[/tex]
what duos e=mc² mean
Answer:
energy equals mass times the speed of light squared
Step-by-step explanation:
Ryan made a $3180 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
what is the approximate area of the shaded sector in the circle shown below?
Answer:
4,71cm3
Step-by-step explanation:
calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide
Answer:
B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²
Hurry I need the answer and how u got it and if correct ill give you brainiest show ur work please
1..The number of early voters for the 2020 election was 129.2% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
2.. At a conference, there is a food table setup with 491 sandwiches. Of all the sandwiches, only 51 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent. 4
3..Washington State University graduated a total of 17,190 students. Of all the students, only 1.7% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
4.Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,006 trees per 0.9 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
5..There are 870 people attending a conference and 8.9% of them are from Canada. How many people are from Canada?
Group of answer choices
98
774
8
77
6
6.A local business sold the 103 items listed below. What is the average price of an item sold considering quantity?
24 notepads at $3.50 each
61 folders at $0.25 each
18 calculators at $9.00 each
Group of answer choices
$2.54
$0.89
$4.33
Answer:
1.774
2.6
3.77
4.8
5.6
6.4.33
Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = ___
Answer:
Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6
Step-by-step explanation:
Sorry but its very simple question you need to try to do it by yourself
Answer:
6
Step-by-step explanation:
By understanding the relationship between multiplication and division we can positively say that since 6 × 7 = 42, we know that 42 ÷ 7 = 6.
which fraction is 16/64 in lowest terms
PLEASE SHOW HOW U DID UR PROBLEM
Answer:
16/64 simplified to lowest terms is 1/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 64 is 16
Divide both the numerator and denominator by the GCD
16 ÷ 16
64 ÷ 16
Reduced fraction:
1/ 4
Answer:
1/4
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 64 is 16
Divide both the numerator and denominator by the GCD
16 ÷ 16
64 ÷ 16
Reduced fraction:
1 / 4
Therefore, 16/64 simplified to lowest terms is 1/4.
Given the equation of a line: y = 3x - 7. Select the equation of the line PERPENDICULAR to this line
Options:
y = (1/3)x + 1/7
y = -3x + 7
y = (-1/3)x - 7
y = 3x + 2
Answer:
The third option, y=(-1/3)x-7
Step-by-step explanation:
To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.
If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.
What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1
Answer:
6
Step-by-step explanation:
6 is the correct answer because-3-3+1
HELP PLEASE!! thanks
Answer:
352
but for the 3 it would be 264
can you find the measure of b plz
Answer:
b=53 degrees
Step-by-step explanation:
90 degrees - 37 degrees = 53 degrees
These are congruent. What is the measurement of E?
Answer:
44º
we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E
Solve the inequality 5 - 4x > -x+8
Answer:
x<-1
Step-by-step explanation:
5-4x>-x+8
adding 4x to both sides we get
5>3x+8
subtracting eight from both sides we get
-3>3x
dividing by three on both sides we get
-1>x
or x<-1
hope that helps if it does please mark my answer as brainliest.
La entrada al zoológico cuesta 3.341 ¿cuánto cuesta la entrada para un grupo de 75 niños?
Answer:
250.575
Step-by-step explanation:
3.341 * 75 = 250.575
Use a model to divide. 1/2÷7 . What is the answer 2/7 1/14 14 3 1/2?
Answer:
1/14 i think
Step-by-step explanation:
Can someone help me and please explain how you got the answer so I can learn?
Answer:
70
Step-by-step explanation: