Based on the information in the diagram, what is the length of side b?

9514 1404 393

Answer:

  1)  f⁻¹(x) = 6 ± 2√(x -1)

  3)  y = (x +4)² -2

  5)  y = (x -4)³ -4

Step-by-step explanation:

In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.

__

1) x = f(y)

  x = (1/4)(y -6)² +1

  4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4

  ±2√(x -1) = y -6 . . . . square root

  y = 6 ± 2√(x -1) . . . . inverse relation

  f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form

__

3) x = √(y +2) -4

  x +4 = √(y +2) . . . . add 4

  (x +4)² = y +2 . . . . square both sides

  y = (x +4)² -2 . . . . . subtract 2

__

5) x = ∛(y +4) +4

  x -4 = ∛(y +4) . . . . . subtract 4

  (x -4)³ = y +4 . . . . . cube both sides

  y = (x -4)³ -4 . . . . . . subtract 4

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{6}{x}[/tex] = [tex]\frac{3}{4}[/tex]

cross multiply

3x = 6(4)

3x = 24

divide

x = 8

Answer:

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 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. 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.

This means that [tex]\mu = 32, \sigma = 7.5[/tex]

Sample of 34:

This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]

Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

This is the pvalue of Z when X = 30.5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]

[tex]Z = -1.17[/tex]

[tex]Z = -1.17[/tex] has a pvalue of 0.121

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Answer:

6 feet

Step-by-step explanation:

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46......no serve

Answer......is 6 feet

The width of the flower bed is  6 feet.

6 feet is the width of the flower bed.

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46 which cannot be the case, therefore 6 feet is the width of the flower bed.

To learn more about area, refer

brainly.com/question/25292087

#SPJ2

Answer:

(0,4)

Step-by-step explanation:

Add 4 to x and add 2 to y.

Answer: 33

Step-by-step explanation:

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

Answer:

formula 3 only

Step-by-step explanation:

formula for the are of a circle is [tex]A=\pi r^{2}[/tex]

the other 2 formulas are the ones for circumference

Answer:

a) CA + ED = 74

Step-by-step explanation:

The complete question is attached in the image

Solution

Here the two circles R and D are congruent and thus their radius will be equal  

Hence, RA (radius of circle R ) = DE (radius of circle D)

Hence, CA + ED = CA + 42

Also, RC = CD  

CA = CE + RA  = 32

So, CA + EO = 32 +42 = 74  

Answer:

4.5 is the mean/average

Step-by-step explanation:

3+1+5+4+8+6=27

27 divided by 6 = 4.5

Answer:

5,090,039

Step-by-step explanation:

Are you trying to number it out?

Answer:

5,090,039

Step-by-step explanation:

Just separate them, do them one at a time and add them all together

5,000,000

     90,000

+          039

___________

Hope this helps

~R3V0

Answer:where the equations

Step-by-step explanation:

Answer:

The answer is 5.50.

Step-by-step explanation:

First, you do 4.25+3.00=7.25

Second, 20-7.25=12.75

but read the beggining again it says sean AND hope so repeat the step again.

First, you do 4.25+3.00=7.25

Second, 20-14.50=5.50

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

Answer:

In a mathequation when needed

Step-by-step explanation:

Answer:

1.625 kg

Step-by-step explanation:

Answer:

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

12 = 2² · 3

20! = 2¹⁸ · 3⁸ · [larger primes]

The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.

  n = 8

Answer:

n = n

Step-by-step explanation:

explanation is on the top and he/she correct

Answer:

75°

Step-by-step explanation:

<4=<105 because they are corresponding angles.

Angles along a straight line add to 180°, so <1+<4=180. Therefore <1=180-105=75°

Answer:

Hello, the multiplicative inverse is just another name for reciprocal. You can use this type of method when dividing fractions like:

1/2/3/5

You use the method known as kfc, keep, flip, change like this:

1/2 x 5/3

Notice how 1/2 is kept the same, the division sign is now a multiplying sign, and 3/5 is flipped.

And then you just answer it from there and you get 5/6

Step-by-step explanation:

I hope this helped you!

Answer:

Depends

Step-by-step explanation:

PS4 has a better gaming system and better games (Spiderman example)

But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.

Answer:

x=0  

g−1(4)=0∵ g(0)=4

Step-by-step explanation:

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

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

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

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

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

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

Solve for y

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

[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]

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

The above equation will then be plotted on the graph (See attachment)

Answer:

um mm

Brent fayiyz

all his songs

and ummm

Answer:

46.77ft^2

Step-by-step explanation:

Answer:

Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

Answer: 7.5

Step-by-step explanation:

A1=1/2pir^2 A2=1/2pir^2

1/2(121pi) 1/2(16pi)

5.5 2

The area of a composite shape is the sum of the areas of its individual shapes

The area of the composite shape is 215.20 square feet.

From the figures, we have the following shapes

The area (A) of a semicircle is:

[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]

So, the area of the composite shape is:

[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]

This gives

[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]

[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]

[tex]\mathbf{A = 68.5\pi}[/tex]

[tex]\mathbf{A = 215.20}[/tex]

Hence, the area of the composite shape is 215.20 square feet.

Read more about areas at:

https://brainly.com/question/16741417

Step-by-step explanation:

a. Josh Studies more after earnings Low Test score is

when Y = in 15 Score Josh Time to Studies are 0 Hours

b. There is no association Between hours studied & Test Score = Nope ...After Josh GOT much Time to Studies He Can Make 98 Scores with 7 Hours Time Studies and average data can show is josh average time in studies comparing to Hours his make much scores

c. There is Positive Association Between hours & Test Score Yes

d. Nope