The inverse function of f(x) is:
[tex]g(x) = \sqrt[3]{(x +1)/64}[/tex]
How to find the inverse function?
Here we have the function:
[tex]f(x) = 64*x^3 -1[/tex]
We want to find the inverse, we will say that is of the form:
[tex]g(x) = \sqrt[3]{a*x + b}[/tex]
If we evaluate f(x) on g(x), we get:
[tex]f(g(x)) = 64*(\sqrt[3]{ax + b})^3 - 1\\ \\f(g(x)) = 64*(ax + b) - 1[/tex]
If these are inverses, that must be equal to x:
[tex]64*(ax + b) - 1 = x\\\\64*a*x + 64*b - 1 = x\\[/tex]
Then:
64*a = 1
a = 1/64
64*b - 1 = 0
b = 1/64
So the inverse function is:
[tex]g(x) = \sqrt[3]{(x +1)/64}[/tex]
If you want to learn more about inverse functions:
https://brainly.com/question/14391067
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Solve for x helppp(10 points)
Answer:
x = n - m
Step-by-step explanation:
To solve for x we have to isolate it.
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]
First, let's subtract [tex]m^{2}[/tex] from both sides of the equation:
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] - [tex]m^{2}[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now the equation looks like this: [tex]x^{2} \\[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]
The square root and the exponents cancel out on both sides and you're left with: x = n - m
To solve for x the equation is: x = n - m
I hope this helps! :)
Help find the missing lengths round to nearest tenth
Answer:
33.4
Step-by-step explanation:
tanα = [tex]\frac{opp}{adj}[/tex]→[tex]tan 50^{o} = \frac{x}{28}[/tex]
x = 28 tan 50° = 33.4
Answer:
The value of missing x = 33.37 units
Step-by-step explanation:
Given
Ф = 50°
We know that
tan Ф = opposite/adjacent
Here:
opposite = x
adjacent = 28
so
tan Ф = opposite/adjacent
tan 50 = x/28
x = 28 × tan 50
=33.37
Therefore, the value of missing x = 33.37 units.
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School Brented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? *
Answer:
ANSWER: each van carries 18 people and each bus can transport 59 people.
Step-by-step explanation:
Let x = number of vans
y = number of buses
Then x + 6y = 372
4x + 12y = 780
Multiply the first equation by -4: -4x - 24y = -1488
4x + 12y = 780
Adding the equations, we get -12y = -708
y = 59
Substitute for y in the equation x + 6y = 372:
x + 6(59) = 372
x + 354 = 372
x = 18
12а + 7x - За – 2х what's the answer
(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.
Answer:
Expanded Notation Form:
421.53 =
400
+ 20
+ 1
+ 0.5
+ 0.03
Expanded Factors Form:
421.53 =
4 × 100
+ 2 × 10
+ 1 × 1
+ 5 × 0.1
+ 3 × 0.01
Expanded Exponential Form:
421.53 =
4 × 102
+ 2 × 101
+ 1 × 100
+ 5 × 10-1
+ 3 × 10-2
Word Form:
421.53 =
four hundred twenty-one and fifty-three hundredths
Step-by-step explanation:
Answer:
Step-by-step explanation:
400
+ 20
+ 1
+ 0.5
+ 0.03
Sixty-four percent of those that use drive through services believe that the employees are at least somewhat rude. If you asked 87 people who use drive through services if they believe that the employees are at least somewhat rude, what is the probability that at most 60 say yes?
a. 0.860
b. 0.802
c. 0.057
d. 0.198
Answer:
The answer to this question would normally be, 85.96%, though that isnt an answer choice so the closest thing to it would most likely be answer choice A.
Using the binomial approximation to the normal, it is found that:
0.86 probability that at most 60 say yes, given by option a.
------------------------
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value is:
[tex]E(X) = np[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
----------------------------
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. Each z-score has a corresponding p-value.The p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.The probability that the measure is greater than X is 1 subtracted by the p-value.When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex], if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].
----------------------------
64% use services, thus, [tex]p = 0.64[/tex]87 people are sampled, thus, [tex]n = 87[/tex]The mean and standard deviation are given by:
[tex]\mu = E(X) = np = 87(0.64) = 55.68[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{87(0.64)(0.36)} = 4.4771[/tex]
Using continuity correction, the probability that at most 60 use is [tex]P(X \leq 60 + 0.5) = P(X \leq 60.5)[/tex], which is the p-value of Z when X = 60.5, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60.5 - 55.68}{4.4771}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a p-value of 0.86.
Thus, 0.86 probability that at most 60 say yes, given by option a.
A similar problem is given at https://brainly.com/question/16178115
Can you please help me find answer to question 10 and 11? I need to show my work. I am lost!!!
Answer:
I think u need to add the sum and equal to 180 reason supplement angle then that's is process
The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Saturday nights
Write 9.36( repeating) as a mixed number in simplest form.
Answer:
Step-by-step explanation:
9.36 is 9 9/25
5. A refrigerator is on sale for $1200. That is
25% off regular price. What was the original
price?
Answer: The original price is $4,800
Step-by-step explanation:
$1,200=25%
25%*4=100%
$1,200*4=$4,800=100%
help pls !! what is the value of K ?
A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?
Write a division equation to represent this situation, then answer the question.
9514 1404 393
Answer:
(9/10)/(2/5) = ratio of work times
2 1/4 times as long
Step-by-step explanation:
Given:
2/5 hours work in the morning
9/10 hours work in the afternoon
Find:
an equation for how many times as long was afternoon work compared to morning work
the equation solution
Solution:
a/m = r . . . . ratio of afternoon work to morning work
(9/10)/(2/5) = r . . . equation
(9/10)/(4/10) = r
9/4 = r = 2 1/4 . . . solution
The builder worked 2 1/4 times as long in the afternoon as in the morning.
<1 and <2 are supplementary angles . If m<1=77,then m<2=?
Answer:
m∠2 = 103°
Step-by-step explanation:
Since ∠1 and ∠2 are supplementary angles, together they equal 180. So, you would just subtract 180-77 and get 103. To check if you are correct just add ∠1 and ∠2 ( 77+103) and you'll get 180.
Answer:
Step-by-step explanation:
The sum of two supplementary angles sum up to 180°
Hence <1+<2 = 180°
Given
<1 = 77
Substitute and get <2
<1+<2 = 180
77+<2 = 180
<2 =180-77
<2 = 103°
Hence the measure of <2 is 103°
Question 1 of 5 Find the difference. (12m + 1) - (5m - 4) O A. 7m + 5 O B. 17m-3 O C. 17m+ 5 D. 7 m - 3
Answer: 7m + 5
Step-by-step explanation:
Distribute the Negative Sign:
=12m+1+−1(5m−4)
=12m+1+−1(5m)+(−1)(−4)
=12m+1+−5m+4
Combine Like Terms:
=12m+1+−5m+4
=(12m+−5m)+(1+4)
=7m+5
Megan works at Amazon warehouse each crate can hold 32 boxes she needs to ship 712 how to divide into 22 crates?
help me out again :)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a ) Mixed number :
[tex]2 \frac{2}{3} \\ [/tex]
_________________________________
b ) Improper fraction :
[tex] \frac{8}{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Five country music bands and 3 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?
(a) there are no restrictions on the order
(b) all the bands of each type must perform in a row
Answer: A) 40320
Step-by-step explanation:
Will somebody help real fast I will give brain??
Answer:
the aswer is A
Step-by-step explanation:
Answer:
D. -4,1,7,15
Step-by-step explanation:
Range is the y axis
a pice of land was sold for rs. 1,20,000 a broker who recived 1.5% of commision. THe broker gets amount of Rs.____
Answer:
If you meant rs.1,200,000 then the answer would be rs.18,000
If you meant rs.120,000 then the answer would be rs.1,800
Step-by-step explanation:
Please mark B R A I N L I E S T
Help me please I will mark as brainliest!!
Answer:
A is answer
Step-by-step explanation:
Cuz once you solve it isn't a fraction any more
I think
Given triangle MAT is an isosceles triangle and point H is the midpoint if MT. Prove triangle MHA is congruent to triangle THA
Answer:
There is everything in the image
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.
A triangle MAT is an isosceles triangle and point H is the midpoint of MT.
In triangle ΔMHA and ΔTHA, we have
AH = AH (Common sides)
MH = HT (H is the midpoint of MT)
∠AMH = ∠ATH (Isosceles angles)
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
More about the triangle link is given below.
https://brainly.com/question/25813512
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A figure has vertices at K(5, 5), L(5, 3) , and M(1, 1) . After a rotation 90°CCW around point (0, 1) , what are the coordinates of K
Answer:
(-5,5)
Step-by-step explanation:
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
will mark brainliest asap.
answer choices
Yes, it is a right triangle because 72 + 52 = 82.
No, it is not a right triangle because 72 + 52
≠
82.
Yes, it is a right triangle because 72 + 52
≠
82.
No, it is not a right triangle because 72 + 52 = 82.
Answer:
Step-by-step explanation:
O=0O
KO[K]
A patient has been ordered Oxycodone 10mg Q6H PO for 5 days. How many 10mg tablets should be dispensed?
Answer:20 tablets
Step-by-step explanation:
Asked my MD father.
The Cardiovascular Risk in Young Finns Study showed average baseline triglyceride levels among 920 people of 0.926 mmol/L associated with a total sum of squared deviations of approximately 160 mmol/L. If a linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared of 0.30, what are the sum of squared deviations explained by the regression model?
a. 112 mmol/L
b. Not enough information
c. 48 mmol/L
Answer:
The sum of the squared deviations explained by the regression model is:
c. 48 mmol/L
Step-by-step explanation:
Average baseline triglyceride levels among 920 people = 0.926 mmol/L
Total sum of squared deviations, approximately = 160 mmol/L
Linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared = 0.30
Therefore, the sum of the squared deviations explained by the regression model = 160 * 0.30 = 48 mmol/L
my favorite snack after a long day at school
Answer:
My dog
Step-by-step explanation:
Answer:
cheese doodles is it.
Also subscribe to Random Topics trending in youtub.
Step-by-step explanation:
Simplify: 6s – (3s – 2) A. 3s + 2 B. 3s – 2 C. -3s – 2 D. -3s + 2
Answer:
A. 3s + 2
Step-by-step explanation:
6s - (3s - 2)
6s - 3s +2
3s + 2
A. 3s + 2
Answer:
[tex]\boxed{3s+2}[/tex]
Solution Steps:
__________________________________________________________
To find the opposite of 3s−2, find the opposite of each term:
Opposite of [tex]3s[/tex] = [tex]-3s[/tex]Opposite of [tex]-2[/tex] = [tex]2s[/tex]Combine 6s and −3s:
[tex]6s+(-3s)=3s[/tex]Rewrite:
[tex]6s-(3s-2)=3s+2[/tex]__________________________________________________________
[tex]\bold{Hope~this~helps~Mate!}\\\bold{If~you~need~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~-Your~friendly~answerer,~Shane.}[/tex]
find the slope of (6,3) and (5, -1)
Answer:
the slope is 4
Step-by-step explanation:
the slope is found by subtracting the y values for the numerator and then subtracting the x values for the denominator
y values -1-3=-4
x values 5-6=-1
slope=-4
slope=4
-1
Answer:
4
Step-by-step explanation:
Formula for solving for the slope of two points-
(y2-y1)/(x2-x1)
(-1-3)/(5-6)=
-4/-1=
4/1=
4
Solve the inequality -5(x-7)<15 algebraically for x
Answer:
x>4
Step-by-step explanation:
trust
HELP ME WHICH ANSWER
Answer:
D
Step-by-step explanation:
30 : 13 = 30/13
Answer:
The answer is 13:30
Step-by-step explanation:
All you have to do is make sure that you put the ice skating fist because that is the one that the question mentioned first. Hope this helps :)