Answers
Related Questions
if f(x)= x3 -7÷2 find f-1 (x)
Answers
Answer:
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
Step-by-step explanation:
Explanation:-
Given function
[tex]f(x) = \frac{x^{3}-7 }{2}[/tex]
let y = f(x)
[tex]y = f(x) = \frac{x^{3}-7 }{2}[/tex]
⇒ 2 y = x³ - 7
⇒ 2y +7 = x³
⇒ [tex]x = ( 2 y +7 )^{\frac{1}{3} }[/tex]
⇒[tex]f^{-1} ( y ) = (2y+7)^{\frac{1}{3} }[/tex]
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
7. If P = [5,6,7,8). Q = (2,4,6,8) and
R=2, 3, 7, 9), then P nQnR=
Answers
Answer:
pnQnR= {}
Step-by-step explanation:
there is no number common in set P, set Q and set R.
So the answer is null
{}
Answer:
{} there is no number common to the three sets so it is an empty set
Step-by-step explanation:
Which expression is equivalent to 5(4x + 5)
Answers
Answer:
5(4x+5)=20x+25
Step-by-step explanation:
I need some help please
Answers
Answer:
a) -10
b) 7
Step-by-step explanation:
a) [tex]2(x + 3) = x - 4[/tex]
[tex] = > 2x + 6 = x - 4[/tex]
[tex] = > 2x - x = - 4 - 6[/tex]
[tex] = > x = - 10[/tex]
b) [tex]4(5x - 2) = 2(9x + 3)[/tex]
[tex] = > 20x -8 = 18x + 6[/tex]
[tex] = > 20x - 18x = 8 + 6[/tex]
[tex] = > 2x = 14[/tex]
[tex] = > x = \frac{14}{2} = 7[/tex]
Answer:
a)-10 b)7
Step-by-step explanation:
a)2 ( x + 3 ) = x - 4
2x+6=x-4
2x+6-x=-4
x+6=-4
x=-4-6
x=-10
b)4 ( 5 x - 2 ) = 2 ( 9 x + 3 )
20x-8=2(9x+3)
20x-8=18x+6
20x-8-18x=6
2x-8=6
2x=6+8
2x=14
x=14/2
x=7
work out (5 x 10^3) x (9 x 10^7)
Answers
Step-by-step explanation:
5×10³) × (9×10^7)
= 45 × 10^10
= 4.5 × 10¹¹
Answer:
(5*10^3)*(9*10^7)=4.5*10^11
Step-by-step explanation:
5*10^3=5*1000=5000
9*10^7=9*10000000=90000000
5000*90000000=5*1000*9*10000000=5*9*10000000000=45*10000000000=450000000000, or 45 with 10 0's, or 10^10
45*10^10 is not simplified, as we need a number less then 10, so we divide 10 from 45, and add 1 to the exponent, getting 4.5*10^11
Aisha is spending a week at her family's cottage and wants to read her favourite book, which is 400 pages long. A) If she reads one page every 36 seconds, how many hours will it take her to read her book? B) Suppose Aisha only reads from 10:15 a.M. To 2:10 p.M., and from 7:20 p.M. To 9:00 p.M. Each day, starting on Monday. On what day and at what time will she finish reading her book? C) Aisha decides to read a second book that is 350 pages in length, starting right after finishing her first book. If she continues to read at the same speed, then when will she finish her second book?
Answers
Answer:
A) 4 hours
B) 7:25 PM on the same Monday.
C) 12:10 PM on Tuesday.
Step-by-step explanation:
Given that:
Number of pages in the first book = 400
A) Time taken to read each page = 36 seconds
To find the number of hours taken to finish reading the book, we need to first find the number of seconds taken to finish reading the book.
Time taken by Aisha to finish reading 400 pages = 400 [tex]\times[/tex] 36 = 14400 seconds
3600 seconds = 1 hour
14400 seconds = [tex]\frac{1}{3600}\times 14400[/tex] hours = 4 hours
B) Reading timings of Aisha :
1st time = 10:15 AM to 2:10 PM i.e. a duration of 3 hours and 55 minutes
2nd time = 7:20 PM to 09:00 PM i.e. a duration of 1 hour and 40 minutes
4 hours are taken to read this book.
So, it will require 5 more minutes after the 1st reading time.
Therefore, Aisha will finish reading at 07:25 PM on same Monday.
C) Second book has 350 pages.
Time taken to read 350 pages = [tex]\frac{350\times 36}{3600}[/tex] = 3.5 hours
She starts reading at 07:25 PM on Monday.
Up to, 9 PM, a duration of 1 hour and 35 minutes will be utilized for reading the second book.
A total of 1 hour and 55 minutes more will be required.
Therefore, the second book reading will be finished at 12:10 PM on Tuesday.
A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?
Answers
Answer:
$7
multiply .07 times 100
Which of the following numbers is irrational?
A)5/8
B)2/3
C) √12
D-√36
Answers
Answer:
A) 5/8
Step-by-step explanation:
5 and 8 are irrational as a fraction
Answer:
5/8 i TOOK THE EXAM REVIEW
Step-by-step explanation:
What classes should I take as a freshman in high school
math, science, social studies,elcteives, English,
Answers
Answer:
Depends on what you what to do in the future. But u should take math, science and english (those are the main important classes)
Step-by-step explanation:
A triangle has sides with lengths of 16 millimeters, 20 millimeters, and 25 millimeters. Is it a
right triangle?
Answers
Answer:
No
Step-by-step explanation:
If it is a right triangle, then the Pythagorean theorem must work.
a^2 + b^2 = c^2 (a and b are the shorter sides and c is the longest)
16^2 + 20^2 = 25^2
256 + 400 = 625
656 = 625
This is not true
Hope this helps!
A c ompany purchased 3,128 bottles of water.Each departments needs 55 bottles.Which compatible numbers provide a better estimate for the number of departments that can get the bottles needed 3,000 divided 60 or 3,000 divided 50? Explain.Then make the estimate.
Answers
Answer:
3,000 divided 60 are the compatible numbers, and the estimate is 50.
Step-by-step explanation:
Compatible numbers can be described as numbers which are close in value to the actual numbers and can easily be added, subtracted, multiplied, or divided mentally.
From the question, 3,000 divided 60 are the compatible numbers that provide a better estimate for the number of departments that can get the bottles because 55 can be rounded up to 60.
The estimate will therefore be as follows:
Estimate = 3,000 / 60 = 50
A single card is drawn at random from a standard 52 card deck.
Work out the following probabilities in their simplest form:
P(8)
=
P(not 8)
=
Answers
Answer:
Step-by-step explanation:
P(8)
There are 4 eights in a standard deck (no jokers) So the probability is 4/52 = 1/13 = 0.0769
P( ~ 8)
48 cards in a standard deck are not 8
P( ~8) = 12/13 = 0.9231
What is the solution of the system of equations?
{3x−12y=−72x+2y=1
Answers
Answer:
i think 9
Step-by-step explanation:
i not surecalculate the cost of 15 articles at 1.95 each
Answers
Answer:
29.25
Step-by-step explanation:
15x1.95= 29.25
Hope this helps :)
if 1 article = 1.95
then if u want to find how much 15 articles = to
you just have to multiply 1.95 * 15 which is equal to 29.25
hope this helps
:)
What is the 50th term of the arithmetic sequence 32, 27, 22, 17, 12
Answers
Answer:
5n - 27
n
5 because you minus 5 each time
27 because 32-5=27
(5×50) -27=
223
An archeologist has found a fossilized leg bone of some unknown mammal. Based on the size of the bone, she determines that it should have contained about 100 g of carbon-14 when the animal was alive. Knowing that the half-life of carbon-14 is 5730 years, write an equation that will model how much carbon-14 is left in the bone now after "t" years.
Answers
Answer:
Therefore, required equation is N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
Step-by-step explanation:
According to the question it is given that
Amount of carbon atom when animal was alive is [tex]N_0[/tex] = 100g
Half life of C-14 is 5730 years
Let 'N' be the amount of carbon atom present after 't' time
since the differential equation of decay process of radioactive atom is
[tex]\frac{dN}{dt} = \lambda N[/tex] where, λ is the decay constant
on solving this we get
[tex]N = N_0 e^{-\lambda t}[/tex]
on further solving and substituting [tex]\lambda = \frac{ln2}{T_{1/2}}[/tex] we get
[tex]N = N_0 2^{- \frac{t}{T_{1/2}} }[/tex]
on substituting the value of [tex]N_0[/tex] = 100g and [tex]T_{1/2}[/tex] = 5730 we get
N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
Kareem heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 5 and 2/5 minutes.
What was the change in temperature each minute? Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
2/5min=24 sec
5 min=300 sec
total=324 seconds
the water decreased 100-19=81 degrees
81/324=0.25 degrees/second
the change in temperature was 0.25 degrees per second
we will multiply by 60
15 degrees per minute
Eight people went to a movie and three of them purchased a drink. Write an expression you could use to solve for the total cost if the tickets are $12 each and the drinks are $2.50 each.
Answers
Answer:
The expression : 12x + 2.50y
Total cost = $103.5
Step-by-step explanation:
The number of people that went to the movie = x
Number of people that bought drinks = y
Total cost = 12x + 2.50y
Eight people went to a movie and three of them purchased a drink
Total cost = 12 × 8 + 2.50 × 3
Total cost = 96 + 7.5
Total cost = $103.5
Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 12 miles?
Answers
Answer:
144 minutes or 2 hours and 24 minutes
Step-by-step explanation:
12 miles divided by 2 miles = 6
24 * 6 - 144
So the final answer is 144.
Answer: 144 minutes
Step-by-step explanation:
If she can run 2 miles in 24 minutes and she needs to run 12 miles you need to multiple 24 and 6 ( You get a six because 24 minutes is for TWO miles. So you need to split the 12 in half.)
What is the equation of the line whose y-intercept is 3 and slope is 1?
O y=x-3
O y=x+3
O y= 3x+1
Answers
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
m is the slope
b is the y intercept
if m = 1 and b = 3 then
y = x + 3
Hi. I need help with these questions (see image)
Please show workings.
Answer a and b
Answers
Answer:
see explanation
Step-by-step explanation:
Using the chain rule along with standard derivatives
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
[tex]\frac{d}{dx}[/tex] (sinx) = cosx , [tex]\frac{d}{dx}[/tex] (cosx) = - sinx
(a)
y = sin x²
[tex]\frac{dy}{dx}[/tex] = cos x² × [tex]\frac{d}{dx}[/tex] (x² )
= cos x² × 2x
= 2xcosx²
(b)
y = cos4x³
[tex]\frac{dy}{dx}[/tex] = - sin4x³ × [tex]\frac{d}{dx}[/tex] (4x³ )
= - sin4x³ × 12x²
= - 12x²sin4x³
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!V
Answers
Answer:
12+12+14+15+16+18+20+23=130
130÷8=16.25
aanswer=16
you move 89 as its anomalous
too higher than the other numbers
what is the answer to 8x equals 16?
Answers
8x=16
8xdivide8=16 divide 8
X=2
Answer: x = 2
[tex]8x=16[/tex] Original Equation
[tex]\frac{8x}{8}=\frac{16}{8}[/tex] Divide both sides by 8
[tex]x=2[/tex] Simplify
Questions related on indices. ( I need a full explanations of how the answer is found. )
Answers
Answer:
(a) m = 10
(b) n = 160
Step-by-step explanation:
To rewrite the expression in the manner indicated, write an equation that sets the given expression equal to the desired expression. Then solve for the variable value. The distributive property and the usual rules of exponents apply.
The rules of exponents you can use here are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^0 = 1
__
(a) 2^101 +2^103 = m×2^100
2^(101-100) +2^(103-100) = m × 2^(100-100) . . . . . . . multiply by 2^(-100)
2^1 +2^3 = m
2 + 8 = m
m = 10
__
(b) 2^101 +2^103 = n×4^48
2^101 +2^103 = n×(2^2)^48 . . . . . substitute 4 = 2^2
2^101 +2^103 = n×2^96 . . . . . . . . simplify
2^5 +2^7 = n . . . . . . . . . . . . . . . . . as above, multiply by 2^(-96)
32 +128 = n
n = 160
_____
Additional comment
The rules of exponents tell you that ...
(m × 2^100) × 2^-100 = m × 2^(100 -100) = m × 2^0 = m
This is effectively the same as dividing by 2^100. You're doing the same thing you would do to solve any linear equation: divide by the coefficient of the variable.
The Paint Factory has 500 different colors of interior paint from which to choose. Generate an equivalent expression using prime factorization for the number 500.
a)2 x 2 x 5 x 25
b)4 x 5 x 25
c)2 x 2 x 5 x 5 x 5
please hurry
Answers
Answer:
The answer is C.
Step-by-step explanation:
The simplest form is C.
Answer:
c)2 x 2 x 5 x 5 x 5
[tex]500 \\ \frac{500}{5} = 100 \\ \frac{100}{5} = 20 \\ \frac{20}{2} = 10 \\ \frac{10}{2} = 5 \\ \frac{5}{5} = 1\\ [/tex]
Rewrite the denominators
2 x 2 x 5 x 5 x 5
An oatmeal cookie recipe calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale. How many cups of butter will he need? Enter your answer as a reduced improper fraction.
wyatt will need _____ cups of butter ?
Answers
Answer:
1 1/4
Step-by-step explanation:
For 12 dozen cookies, 5/6 cups of better are needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have a oatmeal cookie recipe that calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale.
1/2 cup butter is needed for 5 dozen cookies.
For 1 dozen cookies, (1/2)/5 = (1/10) cups of better are needed.
For 12 dozen cookies, 10/12 cups or 5/6 cups of better are needed.
Therefore, for 12 dozen cookies, 5/6 cups of better are needed.
To solve more questions on graphs, visit the link below -
https://brainly.com/question/28972673
#SPJ2
Use the equation below to find v, if u =21, a= 12, and t = 2.
v=utat
Answers
Step-by-step explanation:
We have v = u + at = (21) + (12)(2) = 45.
Answer:
v= 1008
v=21*2*12*2
Step-by-step explanation:
1. Doug invested $2,500 into a Certificate of Deposit earning 6.5% interest. How long will it take to
double Doug's investment?
Answers
Answer:
Step-by-step explanation:
14.5 years
34.7 divided by 4 HELP ME PLZZZZZ
Answers
Answer:
347/40
Step-by-step explanation:
34.7/4 = 34 7/10 / 4
= 347/10 / 4
= 347/40
solve the linear equation
9x-2x+6=4x+3x+11-5
Answers
Answer:
Undefined
Step-by-step explanation:
0=0
Answer:
0
Step-by-step explanation:
Combine the like terms 9x-2x = 7x
Subtract the numbers 11-5 = 6
Combine the like terms again 4x+3x = 7x
Subtract 6 from both sides of the equation 6-6 = 0 6-6 = 0
Simplify 7x = 7x
Result 0