What is the inverse of the function, f(x)=2x−1‾‾‾‾‾‾√3−3?
Responses

f−1(x)=(x+3)3−12
f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator open parentheses x plus 3 close parentheses cubed minus 1 over denominator 2 end fraction

f−1(x)=(x−3)3−12
f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator open parentheses x minus 3 close parentheses cubed minus 1 over denominator 2 end fraction

f−1(x)=(x−3)3+12
f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator open parentheses x minus 3 close parentheses cubed plus 1 over denominator 2 end fraction

f−1(x)=(x+3)3+12

1)

1 US cup = 236.588237 ml

7.44 cup = 7.44 * 236.588237 = 1760.21 ml

2)

1 kg = 2.20462262 pounds

x kg = 22.09 lb

x = 22.09/2.20462262 = 10.02

answer is 10.02 kg

3)

1 liter = 0.264172052 US gallons

35.85 L = 35.85 * 0.264172052 = 9.47

answer is 9.47 gal

4)

1 inch = 2.54 cm

41.8 in = 41.8 * 2.54 = 106.172

Answer is 106.172 cm

5)

1 foot = 0.3048 m

x feet = 4.725 m

x = 4.725/0.3048 = 15.5

6)

1 US gal = 3.78541178 L

9.5 gal = 9.5 * 3.78541178 = 35.96 L

The person whose fruit salad will taste more melony is Genesis. The Option B is correct.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

We need to compute the melon percentage to determine whose fruit salad will taste more melony:

1. Ownen mixes 14 cups of melon and 3 cups of apple. The percentage for melon will be:

= 14/(3+14) × 100

= 82.3529411765

= 82.35%

2. Genesis mixes 6 cups of melon and 1 cups of apple. The percentage for melon will be:

= 6/7 × 100

= 85.7142857143

= 85.71%

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=17 \end{cases}\implies C=2\pi (17)\implies C=34\pi\)

Answer: 5 + 5 = 10

Reason: Imagine that you have 5 pencils in one hand, then you add another 5 pencils into that hand, and you would have 10 pencils. Thus 5 + 5 in this case is 10

Hope that helps!

First, let's find the area of the rectangle.We know that the area of a rectangle is the length times width, or  20⋅32in this example:20⋅32=640So the area of the rectangle is  640ft2.You may not know the area of a semicircle, but that's fine  −we know the area of a circle, or  πr2.Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by  2:So the area of a semicircle is  πr22.The question asks for  πto just be  3.14, so instead the equation is  A=3.14r22The picture gives the diameter of the circle.To find the radius, or  r, we divide the diameter by  2:202=10Now we can solve for the area of the semicircle:3.14(10)223.14(100)23142157ft2Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:640+157=797ft2

This question is incomplete, the complete question is;

Determine if the described set is a subspace. Assume a, b, and c are real numbers.

The subset of R³ consisting of vectors of the form \(\left[\begin{array}{ccc}a\\b\\c\end{array}\right]\) , where abc = 0

Answer:

Therefore; The set is not a subspace

Step-by-step explanation:

Given the data the question;

the subset R³;

S = {  \(\left[\begin{array}{ccc}a\\b\\c\end{array}\right]\) , where abc = 0 }

we know that a subset of R³ is a subspace if it stratifies the following properties;

Looking at the properties, we can say that it is not a subspace

As;

         u = \(\left[\begin{array}{ccc}1\\1\\0\end{array}\right]\) ∈ S       and v = \(\left[\begin{array}{ccc}0\\1\\1\end{array}\right]\)  ∈ S

As    1×1×0=0                          0×1×1=0

But   u+v = \(\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =\) \(\left[\begin{array}{ccc}1\\2\\1\end{array}\right]\)  ∉  S     as 1×2×1 ≠ 0

Hence, it is not closed under addition.

Therefore; The set is not a subspace

The vertex of the absolute function g(x) will be (0, -8). And the function opens up. Then the correct option is A.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

If the vertex of the absolute function is at (h, k). Then the absolute function is given as

f(x) = | x - h| + k

The absolute function is given below.

g(x) = | x | - 8

Compare the function g(x) with the function f(x), then the vertex of the absolute function is as,

(h, k) = (0, -8)

The absolute function opens up because there is a positive sign before mode.

The vertex of the absolute function g(x) will be (0, -8). And the function opens up. Then the correct option is A.

The graph is given below.

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For 0.8 months the subscription cost is same for both the companies.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, 12 dollars per month but as part of a promotion is being offered for the free for the first 3 months.

Let the number of months be x.

Now, 3(0)+12x

Another company offers a similar plan for 7 dollars per month but charges $4 one time free.

So, 4(1)+7x

Here, 3(0)+12x=4+7x

5x=4

x=4/5

x=0.8 months

Therefore, for 0.8 months the subscription cost is same for both the companies.

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all work should be in the picture, lmk if theres anything confusing

Answer:

answer is A. (f.g) (x) = 6x

Answer:

A

Step-by-step explanation:

The higher you are the cooler it gets, that's why there's snow on mountains

Answer: A I think it's A

Step-by-step explanation:

Answer:

6 3/4

Step-by-step explanation:

to write 54/8 into the mixed number and in the simplest form

we first simpify 54/8 which is 27/4

to convert 27/4 into a mixed number we first see how many times does 4 goes into 27 with the remainder. 4 goes into 27 6 times with the remainder of 3.  4 goes into 27 6 times so, 6 will be the whole part 3 remainder will be the numerator and 4 will be the denominator. like 6\(\frac{3}{4}\)

Player B is the more consistent player, determined by the variability.

Range measures the difference between the highest and lowest numbers, whereas the IQR measures the difference between the first and third quartiles.

Range and IQR are both measures of variability that measure how spread out the data is.

Player B has a lower range and IQR than Player A, which indicates that Player B was more consistent.

Since Player B had a lower range and IQR than Player A, this indicates that Player B is the more consistent player.

This shows that Player B is more consistent because the data points are closer together.

This is because Player B had fewer outliers, which made the data points more consistent.

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Answer:

That means that each water is $2.50, das crazy tho

Step-by-step explanation:

the quotient is that best of luck

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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The value of x is 6 inches.

Given is a triangle we need to find the missing side x,

So, using the angle sum property of a triangle, we have,

∠C = 180° - (55° + 70°)

∠C = 55°

Therefore, ∠A = ∠C = 55°

So, according to the theorem,

Sides opposite to the equal angles are equal in a triangle.

So,

BC = AB

AB = 6 in

x = 6 in

Hence the value of x is 6 inches.

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To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

I also play among us..........

Answer:

oh..okay.....bye then...

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

4x2= 8-5= 3 + 63 = 66 + 1 = 67

Answer:

d = 5

Step-by-step explanation:

For:

(X1, Y1) = (2, 3)

(X2, Y2) = (2, 8)

Distance Equation Solution:

d=(2−2)2+(8−3)2−−−−−−−−−−−−−−−√

d=(0)2+(5)2−−−−−−−−−√

d=0+25−−−−−√

d=2–√5

d=5

Explanation

Strep 1

a)Frame 1 to Frame 2

from Frame 1 to Frame 2 there was a reflection, around a verical line

b)

from Frame 2 to Frame 3 there was a rotation 90° clokwise

Step 3

from Frame 3 to Frame 4 there was a translation to up

Step 4

from Frame 4 to Frame 5 there was a reflection acrross a horizontal line

I hope this helps you

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

\(\mu = 69.3 - 64 = 5.3\)

\(\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89\)

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{5 - 5.3}{3.89}\)

\(Z = -0.08\)

\(Z = -0.08\) has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

The answer is D (There is a big variety in job types, locations, and environments to choose from.)

Answer:D because I just got it right

Step-by-step explanation:

Answer: its B or D

Step-by-step explanation: please tell if im wrong

Answer:

22

Step-by-step explanation:

Plugging the numbers into the equation, we get 10^2+20^2=c^2

10^2 is 100, and 20^2 is 400

400 + 100 is 500

find the square root of that, which is exactly 22.36068 but the problem says to round to the nearest whole number, so the answer is 22.

Answer:

22 ft

Step-by-step explanation:

a² + b² = c²

10²+20²= c²

c= (square root of) 100+ 400

c= 22.36

Answer:

\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)

\(7 = - \frac{8}{3} ( - 3) + b\)

\(7 = 8 + b\)

\(b = - 1\)

\(y = - \frac{8}{3} x - 1\)

The y-intercept is -1.