Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
Find the slope of a line parallel to the line through the points. ises 11.3. omplete the following: (c) (10, 6) and (10, 10)
Answer:
cv vfgvbgfgvd
Step-by-step explanation:
i hate math whats 5 + 5
simple math! i'll mark you if you get it right
$100 because if you follow the line from 5 hours to the line it lines up with 100 dollars
Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?
I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
a. I only
b. II only
c. III only
d. I and II
e. II and III
Answer: e. II and III
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
Step-by-step explanation:
The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.
Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.
However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean
Select all the correct answers.
Which expressions are equal to 105?
(104)1
1
103.102
1
105
(103)2
10.10.10.10.10
The expressions that equal to 10⁵ are, 10³.10² and 10.10.10.10.10.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
The expression that equals to 10⁵ are,
10³.10².
= 10 ³⁺².
= 10⁵.
10.10.10.10.10 ('.' implies multiplication)
= 10¹.10¹.10¹.10¹.10¹.
= 10¹⁺¹⁺¹⁺¹⁺¹.
= 10⁵.
learn more about exponents here :
https://brainly.com/question/5497425
#SPJ5
What is the value of a in the equation? 22= a/11
A. 2
B. 33
C. 222
D. 242
Answer:
Step-by-step explanation:
If you divide 33 by 11 it’ll be 3 so we can cross B off, and A too because it’s not a double digit
So that leaves us with C & D.
If we divided 222 and 11 it would leave us with 10 which doesn’t match 11, so that leaves us with D
(Sorry if I didn’t’t explain right )
Answer:
d
Step-by-step explanation:
Compare 0.55 ____ 0.525 using , or =
Answer:
0.55 > 0.525
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.55=0.550
0.550>0.525
so 0.55>0.525
Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.
Answer:
1) One of the equations that represents this scenario is A – B = 100.
2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.
Step-by-step explanation:
Answer:
a b and d
Step-by-step explanation:
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.
Answer: I. only
--------------------------------------------------------------------------------------------------------------
Explanation :
II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
I. True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
III. False. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
29) Which equation describes this graph?
graph that contains the points (-2,0) and (8,-10)
A. y=−2x−2
B. y=2+x
C. y=−x
D. y=−2−x
Chris need to buy 4 shirts, all costing the same amount. he uses a $25 gift card.he can spend no more than $75. write an inequality to find the possible cost for a shirt
Answer:
it would be 3
Step-by-step explanation:
Answer:
21.25 for one shirt so it 75 in all if you add all the shirts
need help with this
Answer:
There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5
Step-by-step explanation:
Answer:
3:5
Step-by-step explanation:
I think that it's 3:5 because
Mixed paint:3+2=5
Yellow:3
yellow : mixed paint
3:5
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
Answer:
58.50
Step-by-step explanation:
HELP MEEEEE this is so harddd. the picture is above.
Answer:
A)
Step-by-step explanation:
V=1/3([tex]\pi[/tex]r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A
Graph the line that passes through the points (-6,5) and (-9,9) and determine
the equation of the line.
4.012+ S equals 5.313
Answer:
S= 1.301
Step-by-step explanation:
5.313-4.012=S
find the surface area of the triangular prism help plzzz
Answer:
790 m^2
Step-by-step explanation:
well in the figure we have to areas
the rectangle of the side (2)the triangle (2)the rectangle of the base (1)the rectangle of the side
well the area of the rectangle is base times height
we have a base of 11 and a height of 17
[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]
the triangle
well the area of a triangle is base times height over 2
we have a base of 16 and a height of 15
[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]
the rectangle of the base
we have a base of 16 and a height of 11
so
[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]
so the total area is
[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]
so that's our answer the surface area is 790 m^2
PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5 of the fence
C) 2/3 hour to complete 1/2 of the fence
D) 9/4 hour to complete 1/3 of the fence
I need help bad!!! Please help!
Answer:
Both Question (bottom right corner)
Step-by-step explanation:
Question 2 is obviously a variable because the amount of goals you can score in a game varies, one game it could be 10 then next it could be 5, But for question 1 the amount of work hours she puts in, (assuming she choses when to work and when not to) is also a variable because the amount she works varies from day to day.
Both these examples how data that varies from day to day.
Hope this helps!
Simplify the expression: 12x+3x+4x
Answer:
19x
Step-by-step explanation:
12+3+4=19
19x
Answer:
12x+3x+4x=19x
Step-by-step explanation:
Tina is ordering pizza for a party.Peats pizza is offering a special of 4 pizza for $26. Pizza palace is selling 10 pizza for $75. If Tina need to order 40 pizza, should she order 10 orders of the 4-pizza deal or 4 orders of the 10-pizza deal?
Answer:
She should order 10 orders of the 4-pizza deal from Peat's Pizza
Step-by-step explanation:
Peat's Pizza deal:
4 x 10 = 40 | 26 x 10 = 260 | so if you choose the Peat's Pizza deal then Tina would have to pay $260.
Pizza Palace deal:
10 x 4 = 40 | 75 x 4 = 300 | so if you choose the Pizza Palace deal then Tina would have to pay $300.
Hope this helps :D
A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds
Answer:
the probability of a client owning stocks OR bonds is 0.825
Step-by-step explanation:
The computation of the probability of a client owning stocks OR bonds is given below:
= P(stocks) + P(bonds) - P(stocks and bonds)
= 0.60 + 0.50 - (0.55 × 0.50)
= 0.60 + 0.50 - 0.275
= 0.825
Hence, the probability of a client owning stocks OR bonds is 0.825
3 more than x is less than 6
Answer:
x = 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
its complicated to explain sorry, but trust me
Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
[tex]Company: 43 + 24.75h[/tex]
Step-by-step explanation:
Given
Hamda:
[tex]Project\ Fee = 25[/tex]
[tex]Hourly\ Rate = 10.50[/tex]
Layla:
[tex]Project\ Fee = 18[/tex]
[tex]Hourly\ Rate = 14.25[/tex]
Required
Derive an expression for total pay
Represent the number of hours with h.
For Hamda and Layla, their pay for h hours is:
[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]
For Hamda, we have:
[tex]Hamda : 25 + 10.50 * h[/tex]
[tex]Hamda : 25 + 10.50 h[/tex]
For Layla, we have:
[tex]Layla: 18 + 14.25 * h[/tex]
[tex]Layla: 18 + 14.25 h[/tex]
For h hours, the company will pay:
[tex]Company: Hamda + Layla[/tex]
[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]
Collect like terms
[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]
[tex]Company: 43 + 24.75h[/tex]
Help who ever. actually helps me gets brainliest.
Answer:
A, C
Step-by-step explanation:
6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2
dividing 6 by 1/2 is the same as multiplying 6 by 2
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
$4x-5$ is less than 25$
A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?
Answer:
$37
Step-by-step explanation:
Plan A: 4n + 3d = 467
Plan B: 5n + 4d = 593
4n + 3d = 467
4n = 467 - 3d
4n/4 = 467/4 - 3d/4
n = 116.75 - 3/4d
5n + 4d = 593
5(116.75 - 3/4d) + 4d = 593
583.75 - 3.75d + 4d = 593
0.25d = 593 - 583.75
0.25d = 9.25
0.25d/0.25 = 9.25/0.25
d = 37
A bag contains cards numbered 1-5.
There is only one card for each number in the
bag. A card is selected at random. Then a
second card is selected, without replacing the
first card. Create a list of the possible
outcomes for the card selections