will mark brainliest if fast

Answer:

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5(x - 2)^3 + 4[/tex]

Required

Determine the inverse

[tex]f(x) = 5(x - 2)^3 + 4[/tex]

Replace f(x) with y

[tex]y = 5(x - 2)^3 + 4[/tex]

Swap the positions of x and y

[tex]x = 5(y - 2)^3 + 4[/tex]

Make y the subject

[tex]x -4= 5(y - 2)^3[/tex]

Divide by 5

[tex]\frac{x -4}{5}= (y - 2)^3[/tex]

Take cube roots of both sides

[tex]\sqrt[3]{\frac{x -4}{5}}= y - 2[/tex]

Add 2 to both sides

[tex]\sqrt[3]{\frac{x -4}{5}} +2 = y[/tex]

[tex]y = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

Replace y with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]

9514 1404 393

Answer:

  F(x) = (9/5)x -459.67

Step-by-step explanation:

F(C(x)) = 9/5(x -273.15) +32

F(C(x)) = (9/5)x -459.67 . . . . . simplify

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

X=38

Hope I helped :]

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

Answer:2(2x2+x−4)

Step-by-step explanation:

Factor 4x2+2x−8

4x2+2x−8

=2(2x2+x−4)

Answer:

12+8x

Step-by-step explanation:

By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.

Adding K shifts the graph up that many units.

The vertex of f(x) is at y = -3

The vertex of g(x) is at y = 1

This as a 4 unit shift upwards.

K = 4

Answer:

x = 6 , y = 0   (x , y) = (6 , 0)

x = 12, y = 3   (x , y) = (12 , 3)

x = 24, y = 9   (x , y) = (24 , 9)

Step-by-step explanation:

Simply plug in a x, and find a y that would make the equation true:

When x = 6:

6 - 2y = 6

6 (-6) - 2y = 6 (-6)

-2y = 0

(-2y)/-2 = (0)/-2

y = 0

When x = 6, y = 0    (x , y) = (6 , 0)

When x = 12:

12 - 2y = 6

12 (-12) -2y = 6 (-12)

-2y = -6

(-2y)/-2 = (-6)/-2

y = 3

When x = 12, y = 3   (x , y) = (12 , 3)

When x = 24:

24 - 2y = 6

24 (-24) - 2y = 6 (-24)

-2y = -18

(-2y)/-2 = (-18)/-2

y = 9

When x = 24, y = 9   (x , y) = (24 , 9)

~

Answer:

GFIH

Step-by-step explanation:

You read coordinates X and then Y

(X,Y)

1. G

2. F

3. I

4. H

Answer: 2 feet

Step-by-step explanation:

2 feet = 24 inches

24>18

Answer:

2 ft

Step-by-step explanation:

Answer:

the answer is 6 :))))))))0

Step-by-step explanation:

Answer:

B: 3, 5

Step-by-step explanation:

Lol, literally just took the test on Ap3x right now

Answer:

0.6892 = 68.92% of bottles are within specification.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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. 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 pvalue, we get the probability that the value of the measure is greater than X.

On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.

This means that [tex]\mu = 2.07, \sigma = 0.06[/tex]

The plant’s quality manager wants to determine how well the process is operating.

To do this, we find the proportion of bottles within specification.

The specification limits for a bottle of soda are 2.1 liters and 1.9 liters

This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.9. So

X = 2.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.1 - 2.07}{0.06}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915.

X = 1.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.9 - 2.07}{0.06}[/tex]

[tex]Z = -2.83[/tex]

[tex]Z = -2.83[/tex] has a pvalue of 0.0023

0.6915 - 0.0023 = 0.6892

0.6892 = 68.92% of bottles are within specification.

Answer:

125 is 62.5% of 200, hope this helps :)

Answer:

[tex]y=\frac{3}{2}x+8[/tex]

Step-by-step explanation:

[tex]y=mx+b\\[/tex]

slope=m

[tex]y=-\frac{2}{3} x-1[/tex]

slope=[tex]-\frac{2}{3}[/tex]

slope=[tex]\frac{3}{2} ,(-4,2)[/tex]

[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]

Add 2 to both sides

[tex]Answer:y=\frac{3}{2} x+8[/tex]

hope it helps!!

Answer:

Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??

Step-by-step explanation:

Answer:

your answer will be [tex]d\geq 5.5[/tex]

Step-by-step explanation:

hope it helps

Answer:

23

Step-by-step explanation:

Answer:

$225 + $75x ≤ $1500

x ≤ 17

Step-by-step explanation:

The Smith family has $1500 spending limit and no more.

The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.

$1500 - $225 = $1275

Then we can simply divide the amount leftover with the hours the contractor works.

$1275 ÷ $75 = 17

The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500

sub x = 3y - 5 into equation 2

2(3y - 5) + 12y = -4

6y - 10 + 12y + 4 = 0

18y - 6 = 0

18y = 6

y = 6/18

y = 1/3

sub y = 1/3 into equation 1

x = 3(1/3) - 5

x = 1 - 5

x = -4

Answer:

245 yd3

Step-by-step explanation:

Split the solid into two pieces, multiply length, width, adn height from there.

Answer:

The answer is: 245 yds cubed

Step-by-step explanation:

So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:

Height: 2   Length: 5    Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.

Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5    Length: 9    Width: 5.

So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.

Lastly, we will add the volumes of the two prisms together. 225+20=245.

The final answer is: 245 yds cubed

Answer:

||| First row: 11 -20 23 ||| Second row: -21 5 -24 ||| Third row: 6 9 -14 |||

Step-by-step explanation:

I wish I could explain it better, but all I did was plug it into matrix A on:

https://atozmath.com/matrix.aspx?q=minor

I pressed "find" without changing any of the settings, and scrolled down until I saw what was in the attached screenshot.

Each of the rows correspond to the first, second, and third answers, as you can see.

I hope this helps!

Answer:

8000 cubes

Step-by-step explanation:

Given that 1KL is 1 Kilo liters

Then conversion of 1KL to cm³ => 1,000,000 cm³

Therefore, since we have a cube to be 125 cm³

Hence, to find the number of cubes of ice blocks that would make 1KL

We divide 1,000,000 cm³ from 125 cm³

=> 1,000,000 ÷ 125

=> 8,000

Therefore, the correct answer is 8,000 cubes

Answer:

5 units away

Step-by-step explanation:

Answer:

98%

Step-by-step explanation:

Answer:

19/6 u^3 v + v^2

Step-by-step explanation:

3uv2

u2−2v2+

5uv3

u2+3v2

=32

u3v+−2v2+53

u3v+3v2

Combine Like Terms:

=32

u3v+−2v2+53

u3v+3v2

= (3

u3v+

53

u3v)+(−2v2+3v2)