Pleaseeee helpppp me

Answer:

To find the inverse, interchange the variables and solve for  

y .

f ^− 1 ( x )  =  − 9  −  x  −  √ (x ^2  −  18 x  +  201 )) /(12 ) , (− 9  −  x  +  √ (x ^2  −  18 x  +  201))  / (12 )

For these given four sets of data, Set: 4 has the largest standard deviation.

"Standard deviation is a measure of the amount of variation or dispersion of a set of values.

A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."

Set: 1 {10, 19, 38, 50, 513}

Number of terms = 5

Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126

Standard deviation

= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]

=  [√(13456 + 1149 + 7744 + 5776 + 149769)/5]

= 188.62

Set: 2 {5, 21, 26, 39, 51}

Number of terms = 5

Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8

Standard deviation

= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]

=  [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]

= 195.27

Set: 3 {9, 38, 50, 50, 513}

Number of terms = 5

Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130

Standard deviation

= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]

=  [√(14641 + 8464 + 6400 + 6400 + 146689)/5]

= 191.1

Set: 4 {5, 28, 28, 28,513}

Number of terms = 5

Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4

Standard deviation

= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]

=  [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]

= 196.5

Therefore, Set: 4 has the largest standard deviation.

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Answer:

Acceleration due to gravity is a constant

Step-by-step explanation:

gravity is a force pulling an object to the center of the earth this force also never changes

Acceleration due to gravity is a constant for the earth at every place.

Acceleration of any object is defined as the variation in the speed of the object with the variation of time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of acceleration can be m / sec², miles / sec², etc.

Gravity is a force that pulls an object toward the center of the earth, and this force never changes, hence acceleration due to gravity is a constant for the earth in all places.

Therefore, acceleration due to gravity is a constant for the earth at every place.

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Answer:

-9, 3.6, -2.25, and -9 1 2

Step-by-step explanation:

Answer:

15.924

Step-by-step explanation:

The difference between these two integers is 15.924.

Given that,

The one integer is 28.935.

And, the other integer is 13.011.

We need to find out the difference between these two integers.

So,

The difference is

= 28.395 - 13.011

= 15.924

Therefore we can conclude that the difference between these two integers is 15.924.

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Answer:

what do u mean

do u mean does Venn diagram cover another diagrqm

Answer: 4.5 hours

Step-by-step explanation:

Distance = speed + time

544.5 = 61t + 60t

t = 544.5/121 = 4.5 hours

Answer:

C. 275.88‬ m squared

24.2 * 11.4 = 275.88‬ m squared

Answer:

B) 4-8x

Step-by-step explanation:

[tex]f(x) = 4 - 2x^2 \\ g(x) = 2\sqrt{x} \\ f(g(x)) = ?\\First - find- g(x)\\f(2\sqrt{x} )\\4-2(2\sqrt{x})^{2} \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B[/tex]

Answer:

C 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 18 = 30

3x + 18 -18 = 30 - 18

3x = 12

x = 4

Answer:

x=7

Step-by-step explanation:

The two marked angles in the image are supplementary, so we can form the following equation:

2x-3=x+4

We can solve that equation to find x.

2x-3=x+4

2x=x+7

x=7

I hope this helps.

Answer:

20 %

Step-by-step explanation:

We need to find what percent is 16 of 80.

1). 16 / 80 = 0.2 = 20 %

Answer:

Y x 80 = 16. If we undo the multiplication and make 16/80=Y

16/80=0.2

Convert to percentage

0.2=20%

20% is your answer

Step-by-step explanation:

Answer:

is this helpful for you

Step-by-step explanation:

sugar: 12/3

flour:31/4

sugar:4

flour:7.75

3.7

Answer:

I believe the answer is multiplication property of equality.

I hope I helped, please correct me if I'm wrong!

Answer:

1 = (sin^2 A + cos^2 A)^2 = sin^4 A + cos^4 A + 2 sin^2 A cos^2 A

so

sin^4 A + cos^4 A

= 1 - 1/2 sin^2 2A

= 1 - 1/4 (1- cos 4A)

= 1/4 (3+cos 4A)

Step-by-step explanation:

hope I helped

Answer:

1)The markup/percent Increase for the shoe is 136.709%

2)Amount of tax on the Kyrie 5 is $4.4

3)The new price of the shoe before taxes is $35.75

Step-by-step explanation:

1) Cost price of Kyrie 5 = $55

Selling price =  $130.19.

Difference = 130.19-55=75.19

So, Percentage increase =[tex]\frac{Change}{CP} \times 100[/tex]

Percentage increase =[tex]\frac{75.19}{55} \times 100 =136.709\%[/tex]

2)The state tax is 8%

So, Amount of tax on the Kyrie 5. = [tex]8\% \times 55[/tex]

                                                        =[tex]\frac{8}{100} \times 55[/tex]

                                                        = 4.4

So, You will pay $4.4 in taxes on the Kyrie 5.

3)You just found a coupon for 35% off!

New price of the shoe before taxes =[tex]55-35\%(55)[/tex]

                                                            =35.75

So,the new price of the shoe before taxes is $35.75

Answer:

2. y=x+7

Step-by-step explanation:

y=x+7

x        y

0        7        

1         8

2        9

3        10

The first set of ordered pairs are (0,7)

Answer:

x=2

Step-by-step explanation:

ok so this is just a substitution problem.

we need to get the variable (x) by itself on one side.

4x+8=16. so, lets remove 8 from the left side, and whatever we do to one side also has to happen to the other.

4x+8=16

    -8  -8

4x=8. So now, we want to get 4 separate from x, and the only thing we can do is divide.

4x=8

/4  /4

x=2. there you have it, x is 2.

Answer:

X=2

Step-by-step explanation:

4x+8=16

4x=8

x=2

4(2)+8=16

8+8=16

16=16

Answer:

I think b :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2

Answer:

18

Step-by-step explanation:

Find the factors of each denominator

2 = 1*2

6 = 2*3

9 = 3*3

The least common multiple is

2*3*3 = 18

The least common denominator is 18

Answer:

The LCD is 18.

Step-by-step explanation:

2 = 2

6 = 2*3

9 = 3 * 3

The Least Common  Multiple =    2 * 3* 3 = 18  (because there is 1 pairs of 2's and 1 pair of 3's in the factors, so only 1 of each appear in the calculation).

Answer:

2107

Step-by-step explanation:

Answer:

2107

Step-by-step explanation:

x(x-6)

49(49-6)

49(43)

49×43 = 2107

Answer: Add 2. Step-by-step explanation:If you look closely, you can see that the numbers are increasing by 2 each time.

Answer:

$40.95

Step-by-step explanation:

Multiply 45.50 by 0.10 and get 4.55. 4.55 is the discount. Then subtract 4.55 from 45.50 and get 40.95

Answer:

$40.95

Move the decimal over to the left once and you get 10% off the all you do is subtract that from the original cost.

Answer:

(3,3)

Step-by-step explanation:

Using the midpoint formula:

[tex]m=\left( \dfrac{6+0}{2},\dfrac{4+2}{2} \right)=\left( \dfrac{6}{2},\dfrac{6}{2} \right)=(3,3)[/tex]

Hope this helps!

Answer:

C.[tex]f(n) = 3(2)^n[/tex] ; 48 strands of bacteria

Step-by-step explanation:

Fred placed 3 strands of bacteria in a petri dish.

The bacteria strands double every hour.

Formula : y = ab^x

Where a is the initial value

b = growth rate

x = hours

So, A formula to represent how many bacteria strands are present at the nth hour : [tex]f(n)=3(2)^n[/tex]

Now we are supposed to find how many strands of bacteria are present at 4 hours.

Substitute the value in the formula :

[tex]f(4)=3(2)^{4}[/tex]

f(4)=48

Hence 48 strands of bacteria are present at 4 hours.

Answer:

f(n) = 3(2)n; 48 strands of bacteria

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

7x5= 35

i think pls correct me if im wrong

Answer:

see below

Step-by-step explanation:

We need to find the volume of the cylinder

V = pi r^2 h

V = pi * 7^2 * 5

V = pi (245)

V = 245pi ft^3

Using 3.14 as an approximation for pi

V =769.3 ft^3

If we use the pi button

V = 769.6902001 ft^3

Answer:

a) - Compressing the P(new) function by a scale of 0.5 about the y axis.

- Moving the P(new) function down by 104 units.

b) The two simplified functions for P(original)

-0.08x² + 10.8x – 200.

-0.16x² + 21.6x – 504.

Step-by-step explanation:

Complete Question

An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.

a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

b. Write the two possible functions from part a in simplified form.

Solution

The equation for the new profit function is

P(x) = -0.16x² + 21.6x – 400

At x = 40, the original profit function is half the size of the new profit function

First, we find the value of the new profit function at x = 40

P(x) = -0.16(40)² + 21.6(40) – 400 = 208

Half of 208 = 0.5 × 208 = 104

P(original at x = 40) = P(new at x = 40) ÷ 2

Since we are told that P(original) is a simple transformation of the P(new)

P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)

Or, P(original) = 104

-0.16x² + 21.6x – 400 = 104

P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.

So, the two functions that are simple transformations of P(new) to get P(original) are

-0.08x² + 10.8x – 200

Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.

And

-0.16x² + 21.6x – 504.

Obtained by moving the P(new) function down by 104 units.

Hope this Helps!!!