Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
Select the correct answer. Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on the surface area of the pyramid? A. The surface area of the pyramid is multiplied by 10. B. The surface area of the pyramid is multiplied by 50. C. The surface area of the pyramid is multiplied by 100. D. The surface area of the pyramid is multiplied by 1,000. E. The effect on the surface area cannot be determined.
Answer:
C. The surface area of the pyramid is multiplied by 100Step-by-step explanation:
The area is the function of the two dimensions.
If each dimension has changed by 10 times, the the area will change by:
10*10 = 100 timesCorrect choice is C
Recall the relationship Between side and area
a/b=a²/b²So
If it's multiplied by 10
The area increases by
10²100timesIf f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
O A. (f+ g)(x) = -x + 3
O B. (f+ g)(x) = x - 7
O c. (f+ g)(x) = -7x-3
O D. (f+ g)(x) = 7x - 7
Answer:
B
Step-by-step explanation:
you are just combining like terms since you are adding the equations together
(-3x-5) + (4x-2)
-3x + 4x = x
-5 + -2 = -7
so altogether
x -7
Calculate the quotient below. Enter your answer in lowest terms, using the
slash mark (/) for the fraction bar.
Answer: 8/11
Step-by-step explanation:
Can someone answer number 24 step by step?
Answer:
=1
Step-by-step explanation:
log3(x+2)-log3(x)=1
Subtraction sign means you can divide the values inside the parintheses
log3(x+2/x)=1
split up the fraction into x/x and 2/x; x/x = 1
log3(1+(2/x))=1
Change of base - three to the first power = value in parintheses
3to1st=1+(2/x)
subtract 1 from both sides
2=2/x
divide both sides by 2
x=1
;)
based on the scatter plot, which is the best prediction of the total number of pages in a book with 4 chapters?
a.) 120
b.) 90
c.) 150
d.) 140
Answer 90
Step-by-step explanation:
Answer:A-120
Step-by-step explanation:
What mistake did Fumio make? He did not distribute the 2 to both components of vector u. He added vectors v and w before distributing the –3 to their components. He subtracted vector w from vector v. He did not use the associative property correctly when rearranging the signs.
Answer: A
Step-by-step explanation:
Answer:
Option A; He did not distribute the 2 to both components of vector u.
Step-by-step explanation:
edge 2022 :-)
Please help ill give extra points
Answer:
Dixie hill...Option B...
The function g(x) is a transformation of the quadratic parent function, f(x)
What function is g(x)?
Answer:
Option A.
Step-by-step explanation:
The parent function is the quadratic function, that is:
[tex]f(x) = x^2[/tex]
Function g:
The function g is the function f concave down, that is, -f.
Also, for the parent function, we have that y = 1 when x = 1. On the function g, otherwise, we have that when x = 1, y = -1/3. So:
[tex]g(x) = -\frac{1}{3}f(x) = -\frac{1}{3}x^2[/tex]
The correct answer is given by option A.
-3x^2
just did it and it’s correct. Your welcome <3
If two coins are tossed what is the probability that the first one will show heads and the second coin will show tails
Answer:
2/4 which simplifies to 1/2
which angle you flip it and how much force you use
HELP M,E PLEASE ILL GIVE YOU BRAINLIEST
;
=
Answer:
Step-by-step explanation: sure i could help you what type is it im a fresh man but im learning softmore stuff
The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50 and the standard deviation is $20. The distribution is not Normal: many house- holds pay a low rate as part of a bundle with phone or television service, but some pay much more for Inter- net only or for faster connections.
A sample survey asks an SRS of 50 households with Internet access how much they pay. Let x be the mean amount paid.
(a) Explain why you can't determine the probability that the amount a randomly selected household pays for access to the Internet exceeds $55.
(b) What are the mean and standard deviation of the sampling distribution of ?
(c) What is the shape of the sampling distribution of x? Justify your answer.
(d) Find the probability that the average fee paid by the sample of households exceeds $55. television service, but some pay much more for Inter- net only or for faster connections.
Answer:
(a) See Explanation
(b) [tex]\bar x =50[/tex] and [tex]\sigma_x = 0.8944[/tex]
(c) The shape is normal
(d) [tex]P(\bar x > 55) = 0[/tex]
Step-by-step explanation:
Given
[tex]\mu = \$50[/tex] -- mean
[tex]\sigma = \$20[/tex] --- standard deviation
[tex]n=500[/tex] --- sample size
Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.
The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.
Hence, the probability cannot be calculated.
Solving (b): Sample mean and Sample standard deviation
The sample mean estimates the population mean
So:
[tex]\bar x =\mu[/tex]
[tex]\bar x =50[/tex]
The sample standard deviation is calculated as thus:
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{20}{\sqrt{500}}[/tex]
[tex]\sigma_x = \frac{20}{22.36}[/tex]
[tex]\sigma_x = 0.8944[/tex]
Solving (c): The shape of the distribution.
We have:
[tex]n = 500[/tex] --- The sample size
According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.
Hence, the shape is normal
Solving (d): [tex]P(\bar x \ge 55)[/tex]
Calculate the test statistic (t)
[tex]t = \frac{\bar x - \mu}{\sigma}[/tex]
[tex]t = \frac{55 - 50}{0.8945}[/tex]
[tex]t = \frac{5}{0.8945}[/tex]
[tex]t = 5.590[/tex]
So:
[tex]P(\bar x > 55) = P(t > 5.590)[/tex]
Referencing the z table, we have:
[tex]P(t > 5.590) = 0[/tex]
Hence:
[tex]P(\bar x > 55) = 0[/tex]
Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.
o 6 inches
O 36 inches
o 4 inches
o 21 inches
the length of the frame is 21 inches.
Luke was asked to compute the length of AB. What is Luke's error?
Answer:
uh......
Step-by-step explanation:
Answer:
Luke used the formula for arc length for central angles or arc measures in degrees, but the diagram gives the central angle in radians.
Step-by-step explanation:
took the thing
Pls help me out I’m very confused
Answer:
7
Step-by-step explanation:
C= 2 pi r
14 pi= 2 pi r
7=r
Pls help I’ll brainlest
Answer:
d. 15
Step-by-step explanation:
3 styles x 5 toppings = 15 one-topping options
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
Answer:
Step-by-step explanation:
Cheryl’s fish tank is 2 yards long by 24 inches wide by 3 feet high. What is the volume of Cheryl’s tank in cubic inches?
Answer:62
Step-by-step explanation:
For a test in a math class, 60 students arrive and take out their supplies. Of those students, 22 bring pens, and 48 bring pencils. Only one student arrives without a pen or pencil.
How many students brought both a pen and a pencil?
Answer:
11 students brought both a pen and a pencil
Step-by-step explanation:
59 students brought a pen or pencil or both
48 + 22 = 70
70-59 = 11
11 students brought both a pen and a pencil
a bag contains red counters and blue counters only. number of red counters : number of blue counters = 3:4
Answer:
3/4
Step-by-step explanation:
Question 17 of 25
Which of the following is not a valid probability?
O A. 0
B. 0.002
O c. 1.2
D. 1
9514 1404 393
Answer:
C. 1.2
Step-by-step explanation:
A probability is always in the range 0 to 1, inclusive. The value 1.2 cannot be a probability.
please help!! thanks!!
Answer:
_________(ANSWER)_________
1.(C)
2.(D)
3.(B)
4.(A)
6.(D)
Explanation:
(BRAINLEIST PLEASE)❤☺️☻♨️♨️☻☺️❤
What is the perimeter of this polygon? (Geometry)
Answer:
30 cm
Step-by-step explanation:
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answer:
B
Step-by-step explanation:
trust meh
Which of the following describes the polynomial function?
Answer:
I think it is option C.
if i am right plz give me brainliest!
The wholesales price of a basket ball was $10.00. The store marked it up an additional 120%. What was the sale price?
Answer:
22 dollars
Step-by-step explanation:
it starts at 100 percent so if it is marked up a additional 120 percent then it is 220 percent.
22/10*10=22
The cost of three cans of pineapple at the grocery outlet is $2.25 on the cost of six cans of the same kind of pineapple is $4.80 at save market which store has a better price for pineapple grocery outlet or save market
Answer:
save market has a better price.
Step-by-step explanation:
2.25÷ 3= 0.75
4.80÷6= 0.8
NEED HELP WITH MATH
9514 1404 393
Answer:
A. g(x) = √(x -5), x ≥ 5
Step-by-step explanation:
You can use the definition of an inverse function to solve for g(x).
x = f(g(x))
x = (g(x))^2 +5
x -5 = (g(x))^2 . . . . . subtract 5
√(x -5) = g(x) . . . . . take the square root
The radical contents cannot be negative, so this is only defined for x-5 ≥ 0, or x ≥ 5.
g(x) = √(x -5), x ≥ 5
Which is the same as moving the decimal point 3 to the right in a decimal number
A grocery store recently sold 10 cartons of yogurt, of which 5 were raspberry. What is the experimental probability that the next carton of yogurt sold will be raspberry?
Answer:
Step-by-step explanation:
10/16
A 16 1/2 km stretch of road needs repairs. Workers can repair 2 1/4 km of road per week. How many weeks will it take to repair this stretch of road?
Answer:
7 1/3 weeks
Step-by-step explanation:
Divide 16 1/2 km by (2 1/4 km/wk). We get:
16.5 km
--------------------- = 7 1/3 weeks
2.25 km/wk