Answers
The inverse function is:
[tex]g(x) = 27*x^3 - 4[/tex]
And g(2) = 212.
How to get the inverse function?
We need to find g(x) such that:
g(h(x)) = x.
We know that:
[tex]h(x) = \frac{\sqrt[3]{x + 4} }{3}[/tex]
Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:
[tex]g(x) = 27*x^3 - 4[/tex]
As you can see, if you evaluate in h(x), the outcome is x.
Now we can evaluate this in x = 2, we get:
[tex]g(2) = 27*2^3 - 4 = 212[/tex]
The correct option is C.
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Related Questions
The hypotenuse of a right triangle measures 2 square root 15 centimeters and its shorter leg measures 2 square root 6
centimeters.
What is the measure of the larger acute angle of the triangle? Round your answer to the nearest
tenth of a degree.
Answers
Answer:
50.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions for a right triangle. Here, you are given the short side and the hypotenuse, and asked for the largest acute angle.
__
The short side is adjacent to the largest acute angle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(β) = (2√6)/(2√15) = √0.4
The angle measure is found using the inverse cosine function:
β = arccos(√0.4) ≈ 50.8°
The larger acute angle is about 50.8°.
please help me solve this
Answers
Answer:
1364.26 mm^2
Step-by-step explanation:
If this is correct: side length a =
30
side length b =
10
side length c =
24
prism height h =
18
then the answer would be 1364.26 mm^2
Which equation can be used to find the surface area of the cylinder? a cylinder with a radius of 4 inches and height of 16 inches. s = 2 pi (4) squared 2 pi (4) (16) s = 2 pi (8) squared 2 pi (8) (16) s = 2 pi (16) squared 2 pi (16) (4) s = 2 (4) squared 2 (4) (16)
Answers
The equation we can use to find the surface area of the cylinder is: 2π(4)(16 + 4).
What is the Surface Area of a Cylinder?Surface area of a cylinder = 2πr(h + r), where h is the height and r is the radius of the cylinder.
Given the following:
Radius = 4 in.Height = 16 in.Equation to find the surface area of the cylinder = 2π(4)(16 + 4)
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Find the indicated missing angle measure. Solve for the value of 0. Round to the nearest whole degree.
Answers
Answer:
67 degrees
Step-by-step explanation:
Calculator!
slove this math problem
Answers
Answer:
That's all
Step-by-step explanation:
1-We find 5% of 200
2-Cross multiply
3-add 5% of 200 to the original price
1. New school desks were made for your school for the upcoming school year. The total
cost of making these desks is related to the amount that are made. This is shownin the
table below:
pls help its 100 points
Answers
Take 2 points
(21,1517)(47,2609)#a
Find slope
m=2609-1517/47-21m=1092/26m=$42#b
Find equation y inetercept is our answer
y-1517=42(x-21)y-1517=42x-882y=42x+635b=635
#c
Put x=250So
y=42(250)+635y=$11135-11 2/3 x (-4 1/5) help I need it
Answers
Answer:
Step-by-step explanation:
[tex]-11 \frac{2}{3} x -4\frac{1}{5} =[/tex]
First we change the mix number fractions into a improper fraction
[tex]\frac{-11*3+2 }{3} x- \frac{4*5+1}{5} =[/tex]
[tex]\frac{-33+2}{3} x- \frac{20+1}{5} =[/tex]
[tex]\frac{-31}{3}x - \frac{21}{5} =[/tex]
Give both fractions the common denominator 15 and subtract the fractions
[tex]\frac{-31x*5}{15} - \frac{21*3}{15}=[/tex]
[tex]\frac{-155x -63}{15}[/tex]
Help its timed 35 points
Answers
x = 36
Angle 1 = 108
Angle 2 = 72
Explanation: Angle 1 & Angle 2 are supplementary, equaling to 180 You can just add them both and then equal to 180.
3x + 72 = 180
What is the sum of the first 45 terms of the sequence?
-282,-266,-250,-234,...
S45 =
Answers
Use the attachment (It has a full explanation and answer).
Please help will mark brainliest 5 points
Answers
Answer:
D. Graph D
Step-by-step explanation:
First, off me know that that equation is in slope-intercept form.
Therefore, your y-intercept is (0,1)
Then you need to find the slope by using two points on a graph and using the y2-y1/x2-x1 equation.
Now you need to pay attention to the sigh. It's [tex]\leq[/tex].
That means it is greater than or equal to ur y-intercept, it must be shaded do the side of numbers greater to 1 (ur y-intercept.)
Giving you D.
The line is solid and on the right side
Write seven tenths as a decimal
Answers
Answer:
seventh tenths as a decimal are 0.7
While walking to school you pass a barn with a silo. Looking up to the top of the silo you estimate the angle of
elevation to the top of the silo to be about 14°. You continue walking and find that you were around 40 m from
the silo. What is the height of the silo?
Answers
Answer:
9.97 meters
Step-by-step explanation:
The silo is one leg of a right triangle the other leg is the distance from the silo
for a right triangle tan = opposite side / adjacent side
tan(14) = height/40
40 tan 14 = height = 9.97 m
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1 : 5 : 7. How many cups of onion are needed to make 117 cups of salsa?
Answers
Answer:
We need 45 cups on onion
Step-by-step explanation:
green pepper : onion: tomato: total
1 5 7 13
We have 117 total so divide by 13
117/13 = 9
Multiply each number by 9
green pepper : onion: tomato: total
1*9 5*9 7*9 13*9
9 45 63 117
We need 45 cups on onion
Decide if the situation involves permutations, combinations, or neither. explain your reasoning.
the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation
Answers
The number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation is a combination problem
Permutation and combinationPermutation has to do with arrangement while combination has to do with selection.
When choosing an object from other pool of object, we will have what is called combination.
From the given question, we are told that the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation, since they are selecting, hence the situation involves combination.
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Function g can be thought of as a scaled version of f ( x ) = ∣ x ∣
Answers
Using translation concepts, it is found that the equation for function g(x) is given by:
[tex]y = -\frac{2}{3}|x|[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
f(x) = |x|.
Researching the problem on the internet, function g(x) was reflected over the x-axis, and compressed by a factor of 2/3, hence it is multiplied by -2/3(negative due to the reflection), and the equation for function g(x) is given by:
[tex]y = -\frac{2}{3}|x|[/tex]
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The sides lengths 4, 6, 9 can be used to form the sides of a triangle.
Answers
Step-by-Step Explanation:
We can simply use the Triangle Inequality Theorem which states that the sum of 2 sides of a triangle is greater than the third side.
Therefore,
=> 4 + 6 = 10 (Greater than 9)
=> 6 + 9 = 15 (Greater than 4)
=> 4 + 9 = 13 (Greater than 6)
Hence the side lengths 4, 6, 9 can be used to form the sides of a triangle.
If x > 3, Which of these numbers could be a possible number for x?
A. 3
B. -22
C. 0
D. 4
(will mark brainliest)
Answers
Answer:
D. 4
Step-by-step explanation:
x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.
Answer:
D
Step-by-step explanation:
the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3
Genevieve is in charge of creating a five-digit code to lock and unlock a secure cabinet. she can use any code from 0 through 9 and she could use each digit as many times as she wants she knows wants to start the code with a prime number. how many possible codes that start with the prime number could Genvieve create?
A.40,000
B.50,000
C.400,000
D.500,000
Answers
Answer:
40,000
Step-by-step explanation:
I took the test
There are 40,000 possible codes that start with the prime number could Genvieve create.
For the first digit, Genevieve wants to start with a prime number.
The prime numbers between 0 and 9 are 2, 3, 5, and 7.
So, there are 4 choices for the first digit.
For the remaining four digits, she can choose any number from 0 through 9, including the prime numbers.
Since there are 10 choices for each of the four remaining digits, the total number of possible codes for those digits is 10⁴.
To calculate the total number of possible codes that start with a prime number, we multiply the number of choices for the first digit (4) by the number of choices for the remaining four digits (10⁴):
4 × 10⁴ = 40,000
Therefore, the correct answer is A) 40,000.
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A company that manufactures playing cards ensures the cards can be stacked in a deck and
placed in a box to be sold. Which units are most appropriate for measuring the thickness of a
playing card?
Answers
1 is greater than w, and -5 is less than w.
Use w only once in your inequality.
Answers
Answer: As an inequality —> -5 < w < 1
pls help w b. also not sure if what ive written down is right
Answers
Answer:
See below
Step-by-step explanation:
b) 200 ft = -16 (t-2)^2 + 400
200 / 16 = (t-2)^2
sqrt (12.5 ) = t-2
2 + sqrt (12.5) = t
ANSWER ASAP!!! 25 POINTS!!!
In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the others? Describe the method in your own words, and give an example of a quadratic equation that could be solved with this method. Show and explain the steps for solving the equation.
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
Make sure your posts are grammatically and mechanically correct.
Address all parts of the prompt.
Provide at least one example to support your response. (Example choices include an anecdote, statistic, and/or textual evidence.)
Answers
Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
Find the Lowest Common Multiple of a and b.
Answers
Answer:
181104
Step-by-step explanation:
2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104
Answer:
181104
Step-by-step explanation:
2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104
solve for x !
[tex]\longrightarrow\bold{4x {}^{2} + 10x + 4 = 0}[/tex]
ty! ~
Answers
Step-by-step explanation:
We could easily solve this by factoring.
Given eqn:
[tex]\rm{4x ^{2} + 10x + 4 = 0}[/tex]
Solution:
Factor left side:
[tex] = > 2(2x + 1)(x + 2) = 0[/tex]
Write the factors to 0 to get our solution:
[tex] = > 2x + 1 = 0[/tex]
[tex] = > \boxed{ x = - \cfrac{1}{2} }[/tex]
or else,
[tex] = > x + 2 = 0[/tex]
[tex] = > \boxed{ x = - 2}[/tex]
[tex] \rule{225pt}{2pt}[/tex]
Mr. Graham invested some of his $18,000 in bonds that made a 5% profit and the rest in bonds that made a 12% profit. If the profit on the 12% bonds was $885 more than the profit on the 5% bonds, how much did Mr. Graham
invest in the 5% bonds?
Answers
Answer:
$7500
Step-by-step explanation:
Let investment in 5% bond be x
(18000 - x) * 12% - x * 5% = 885
18000*12 - 12x - 5x = 88500
216000 - 88500 = 17x
x = 7500
Help me with theses problems
Answers
Answer:
1: 22cm 2: 30m 3: 78.54
Step-by-step explanation:
1: (6x2)+(5x2)
12+10
22
2: 11+4=15
15x2
30
3: 25/2=12.5
3.14x2=6.28
12.5x6.28=78.54
Which expressions are equivalent to 25x4 −64? select three options. 25x4 40x − 40x − 64 25x4 13x − 13x − 64 (5x2 8)(5x2 − 8) (x2 13)(x2 – 13) (5x2 – 8)2
Answers
The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]
Difference of two squareThe standard expression for difference of two square is given as:
a^2- b^2 = (a-b)(a+b)
Given the equation
[tex]25x^4 -64[/tex]
This can also be expressed as:
[tex](5x^2)^2-8^2\\(5x^2-8)(5x^2+8)[/tex]
This expression is also equivalent to [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]
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(a) state the value of cos(30°)
(b) state the value of sin(30°)
Answers
1/2
A survey asked a sample of vacationers how far they drove to get to their destination. What is the margin of
error if the interval estimate is (200 miles, 250 miles)?
What is the length of the interval?
Answers
The margin of error for the interval (200 miles, 250 miles) is 25 miles.
What is an equation?An equation is an expression that shows the relationship between two or more variables and number.
The confidence interval = mean (m) ± margin of error (e) = m ± e
Hence:
m + e = 250 (1)
m - e = 200 (2)
From the both equations:
m = 225, e = 25
The margin of error for the interval (200 miles, 250 miles) is 25 miles.
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how many times larger than 3*10^2 is 12*10^4
Answers
Hey there!
3 * 10^2
= 3 * 10 * 10
= 3 * 100
= 300
AND
12 * 10^4
= 12 * 10 * 10 * 10 * 10
= 12 * 100 * 100
= 12 * 10,000
= 120,000
SIMPLIFYING the ANSWER
120,000 - 300
= 119,700
≈ 100,000
Therefore, your answer should be:
100,000
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
