data was collected ​

Answer: [tex]f^{-1}(x)=\sqrt{x+49}[/tex]

Step-by-step explanation:

To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.

y=x²-49                            [switch x with y and y with x]

x=y²-49                            [add both sides by 49]

x+49=y²                           [square root both sides]

[tex]y=\sqrt{x+49}[/tex]

Now, we know that [tex]f^{-1}(x)=\sqrt{x+49}[/tex].

Answer:

Step-by-step explanation:

I - 18I = 18

I - xI = x    

Answer:

positive 18

Step-by-step explanation:

The absolute value of any number is just how far that number is from 0 on a number line

here are a few examples

|-23| = 23

|47| = 47

|-11| = 11

As you can see, in all 3 examples all numbers are positive.

To make it easier to understand, the absolute value of any numer is that number, but positive. Absolute values will always be positive no matter what.

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Answer:

a. 90

b. 44.55

C. 134.55

D. 22.42

Step-by-step explanation:

A. 6*15 = 90

B. 15 % of 1188 is 178.2, and 178.2 divided by 4 (0.25%) is 44.55

C 90 + 44.55 = 134.55

d. 134.55 divided by 6 hours worked is 22.42

a. The earning should be 90.

b. The money that should be made is 44.55.

c. The total salary for the day is 134.55

d. The Manuel average earnings per hour, including tips is 22.42

a.

The earnings should be

= 6(15)

= 90

b. The money made should be

The 15% of 1188 should be 178.2

Now we have to divide the 178.3 from 4 so it comes 44.55.

c. The total salary should be

= 90 + 44.55

= 134.55

d. The average earnings per hour should be

Here  134.55 divided by 6 hours = 22.42

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Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

Answer: (f+g)(x)=x²-x-3

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we can add them together.

(f+g)(x)=2x-1+x²-3x-2                [combine like terms]

(f+g)(x)=x²-x-3

Now, we know that (f+g)(x)=x²-x-3.

Answer:

160in^2

Step-by-step explanation:

Pls choose mine as brainliest.

Answer: Its B and C

Step-by-step explanation:

Answer:

The correct answer is:

B. Substitute 12 for x in the equation

C. Multiply $68 by 12 months

Answer: 512/9 and 6,144/81

Step-by-step explanation:

The sequence is:

18, 24, 32, 128/3, ...

Now, is easy to see that it is not an arithmetic sequence, so we can jump to see if this is a geometric sequence.

To see this, we must see at the quotient of two consecutive numbers in the sequence, and that quotient must be the same for any pair of consecutive elements.

24/18 = 1.33...

32/24 = 1.33...

(128/3)/32 = 1.33....

The quotient is constant, then this is a geometric sequence.

Then we can write the n-th term as:

Aₙ = Aₙ₋₁*1.33...

And we first should write 1.33 in a way that is easier to use:

1.33... = 1 + 0.33...

The left side can be writen as:

0.33... = 0.33...*(10/10) = (3.3.../10)

Now we can subtract the initial number:

(3.33..../10) - 0.33... = 3/10 = 0.33...*(9/10)

0.33... = (3*10)/(9*10) = 30/90 = 3/9

then we have:

1.33... = (1 + 3/9) = (9/9 + 3/9) = (12/9)

Then the two next terms are:

(128/3)*(12/9) = 128*4/9 = (512/9)

And the next term is:

(512/9)*(12/9) = (6,144/81)

Then the first six terms are:

18, 24, 32, 128/3, 512/9, 6,144/81

Answer:

Step-by-step explanation:

6

Answer:

1) Variables = 11a , 4a

  Constants = 0

  Coefficients = 11 , 4

2) Variables =  3x , 7x

   Constants = 6 , -4

   Coefficients = 3 , 7 , 6 , -4

3) Variables = -12m , +4m

   Constants = -3 , 16

   Coefficients = -12 , 4 , -3 , 16

4) Variables = 6k , k

   Constants = -4 , -2

   Coefficients = 6 , 1 , -4 , -2

5) Variables = -5p , -2p

   Constants = 3 , 13

   Coefficients = -5 , -2 , 3 , 13

6) Variables = -10r , -r , -6r

   Constants = 11

   Coefficients = -10 , -1 , -6 , 11

7) Variables = -5n

   Constants = 19 , -8 , 14

   Coefficients = -5 , 19 , -8 , 14

8) Variables = 13y , -2y

   Constants = 18 , -5

   Coefficients = 13 , -2 , 18 , -5

9) Variables = 8a , 3a , -7b , -2b

   Constants = 1

   Coefficients = 8 , 3 , -7 , -2 , 1

10) Variables = 11x , 2x , -4y

   Constants = 8

   Coefficients = 11 , 2 , -4 , 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average=total distance/totaltime

=60+110+180+220/1+2+3+4

=570/10

=57miles/hour

Answer:

Step-by-step explanation:

quadratic trinomial, because the highest degree of x is 2 and the expression has 3 terms.

Answer:

9

Step-by-step explanation:

Step 1:

3 : 5 = x : 15

Step 2:

5x = 45

Answer:

x = 9

Hope This Helps :)

Answer:

4 × 5 + 7

Step-by-step explanation:

I did the math.

.....

Answer:

Expression: 20 + 28, Answer: 48

Step-by-step explanation:

Distributive Property

4 * 5 + 4* 7

Expression: 20 + 28

Answer: 48

Answer:

Do you have a picture of the problem/graph?

Step-by-step explanation:

Only then, can i provide an acurate answer!

pls & thx

Answer:

I think it would be angles A and B.

Hope this helps!

Answer:

-20

Explanation:

(11 + 1) - 6 · 8 + 16

11 + 1 = 12

12 - 6 · 8 + 16

6 · 8 = 48

12 - 48 + 16

= -20

Answer:

The area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]

Step-by-step explanation:

From this study,

The surface area of f(x,y) is expressed by:

[tex]A = \iint_R \sqrt{1 +f^2_x+f^2_y}} \ dA[/tex]

where

[tex]0 \leq x \leq 2 \ and \ 0 \leq y \leq 2[/tex]

Given that:

f(x,y) = 9 - x²

Thus, [tex]f_x = -2x[/tex] and   [tex]f_y = 0[/tex]

However, the area becomes:

[tex]A = \iint_R \sqrt{1+(-2x)^2+0^2} \ dxdy[/tex]

[tex]A = \iint_R \sqrt{1+4x^2} \ dxdy[/tex]

From above, replacing x with [tex]\dfrac{1}{2} \ tan \ u[/tex]

then [tex]dx = \dfrac{1}{2} sec^2 \ udu[/tex]

∴

[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint \sqrt{1 + 4u^2 } \ sec^2 \ udu[/tex]

[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint sec^2 \ udu[/tex]

[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} ( \sqrt{4x^2 + 1x} + \dfrac{1}{2} In \sqrt{4x^2 + 1}+2x)[/tex]

Hence;

[tex]\mathsf{A = \int \limits ^2_0 \begin {bmatrix} \dfrac{1}{2}(\sqrt{4x^2 +1 x}+ \dfrac{1}{2} In ( \sqrt{4x^2+1}+2x \end {bmatrix}^2_0 \ dy}[/tex]

[tex]\mathbf{A = 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]

Therefore, the area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {8u}^{18}}}}}} [/tex]

Step-by-step explanation:

Using the power to power law of indices

i.e When an algebraic term in the index form is raised to another index , the base is raised to the product of two indices.

Now, Let's simplify

[tex] \star \: \sf{({8u}^{9})^{2} }[/tex]

[tex] \dashrightarrow{ \sf{(8 {u})^{9 \times 2}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {8u}^{18}}}} [/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

[tex]\frac{-4 - i}{2 + 3i} * \frac{2 - 3i}{2 - 3i} = \frac{-8 + 12i - 2i + (3i)^{2} }{4 - 3i^{2} } = \frac{-11 - 10i}{4 + 9}= \frac{-11 - 10i}{13}[/tex]

the answer is b

Answer:

y = 14

Step-by-step explanation:

Given x plug in 3 for x

y = (2times3) + 8

y = 6 + 8

to cheak ur awsner plug in y as 18 and solve for x

Answer:

x=3 so y=2*3+8

=6+8

=14

Answer:

Permutation

Step-by-step explanation:

The term to describe the given statement is permutation.

When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.

Take for instance:

The arrangement of 3 boys on a seat

Ways 4 friends can sit to take photographs

...are examples of permutation

Permutation of r objects in n distinct objects is calculated as:

[tex]^nP_r = \frac{n!}{(n -r)!}[/tex]

Answer:

ion know

Step-by-step explanation:

Answer:

The market equilibrium price is $160 and market equilibrium quantity is 1600

Step-by-step explanation:

A linear function is of the form y = m * x + b, where m is the slope and b is called the intercept.

The shape of a demand and supply curve will be: Q = m * P + b

The point-slope form of the linear function is written as y- y1 = m * (x- x1) where (x, y) and (x1, y1) are the coordinates of the point. In this case: Q- Q1 = m * (P- P1)

A retail chain buys 1000 wireless speakers if the price is $ 190 and 2,600 if the price is $ 110. Then (P, Q) = (190,1000) and (P1, Q1) = (110, 2600). Replacing in the point-slope form:

1000 - 2600= m*(190 - 110)

and solving for m you get:

-1600=m*80

[tex]m=\frac{-1600}{80}[/tex]

m= -20

To find the value of b from the demand curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:

Q= -20*P + b

Replacing (P, Q) = (190,1000)

1000= -20*190 + b

1000= -3800 + b

1000 + 3800= b

4800= b

The demand function is Q= -20*P + 4800

In an analogous way, the supply function can be deduced. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Then (P, Q) = (128,800) and (P1, Q1) = (192, 2400). Replacing in the point-slope form:

800 - 2400= m*(128 - 192)

and solving for m you get:

-1600=m*(-64)

[tex]m=\frac{-1600}{-64}[/tex]

m= 25

To find the value of b from the supply curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:

Q= 25*P + b

Replacing (P, Q) = (128,800)

800= 25*128 + b

800= 3200 + b

800 - 3200= b

-2400= b

The supply function is Q= 25*P - 2400

The point where the supply and demand curves intersect is called the market equilibrium point. At this point the quantity supplied and the quantity demanded is the same and the price must also be the same. So:

-20*P + 4800= 25* P -2400

Solving for P:

-20*P - 25*P= -2400 - 4800

-45*P= -7200

[tex]P=\frac{-7200}{-45}[/tex]

P= 160

Since at the equilibrium point the quantity supplied and the quantity demanded is the same, replacing the price P in either of the two functions (demand or supply) I obtain the equilibrium quantity. In this case, it is replaced in the supply function:

Q= 25*160 -2400

Q= 1600

Finally, the market equilibrium price is $160 and market equilibrium quantity is 1600

Answer:

THe answer is 13

Step-by-step explanation:

Answer:

its the second one 13

Step-by-step explanation:

Answer:

22*3=66

Flase

Step-by-step explanation:

The equation ((22)3) = 25 is false.

Two or more expressions with an Equal sign is called as Equation.

The given equation is  ((22)3) = 25.

We have to check whether the left hand side is equal to right hand side.

If the LHS and RHS are equal then the equation is true.

If not then it is false.

The value in LHS is 22×3 = 66

The value in RHS is 25

66 is not equal to 25

Hence, the equation ((22)3) = 25 is a false statement.

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Answer:

B. 33.4

Step-by-step explanation:

77 - 43.6 = 33.4