An air conditioning system can circulate 400 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?

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:

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: [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:

ion know

Step-by-step explanation:

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:

-20

Explanation:

(11 + 1) - 6 · 8 + 16

11 + 1 = 12

12 - 6 · 8 + 16

6 · 8 = 48

12 - 48 + 16

= -20

Answer:

9

Step-by-step explanation:

Step 1:

3 : 5 = x : 15

Step 2:

5x = 45

Answer:

x = 9

Hope This Helps :)

Answer:

96 inch,180 inch,216 inch

Step-by-step explanation:

let the sides be 8x,15x,17x

then 8x+15x+17x=480

40x=480

4x=48

x=48/4=12

8x=8×12=96

15x=15×12=180

17x=17×12=216

Answer:

Step-by-step explanation:

6

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: 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:

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:

17 inches.

Step-by-step explanation:

Answer:

answer is 17 inches

Step-by-step explanation:

Answer:

None of the options

Step-by-step explanation:

Given

Trapezoids: ABCD and A'B'C'D'

Required

Select type of transformation

Notice that width and length of ABCD are larger than that of A'B'C'D'

This means that the transformation applied on ABCD shrinks it size to A'B'C'D'

From the list of given option'

None of the 3 options describes this type of transformation.

The applied transformation is Dilation because it affects the size of ABCD

Hence;

None of the options is correct

Answer:

The answer is Reflection

Step-by-step explanation:

Answer:

I think it would be angles A and B.

Hope this helps!

Answer:

-2x cos x + 2 sin x + C

Step-by-step explanation:

∫ (2x sin x) dx

If u = 2x, then du = 2 dx.

If dv = sin dx, then v = -cos x.

∫ u dv = uv − ∫ v du

= 2x (-cos x) − ∫ (-cos x) (2 dx)

= -2x cos x + 2 ∫ cos x dx

= -2x cos x + 2 sin x + C

Answer:

[tex]\displaystyle \large{2 \sin x - 2x \cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:

[tex]\displaystyle \large{\int {2x \sin x} \ dx }[/tex]

Using by-part method, we have to substitute u-term and dv appropriately.

By-part is an integration of product rules, when integrated the product rules of differentiation, we’ll obtain:

[tex]\displaystyle \large{\int {u} \ dv = uv - \int {v} \ du}[/tex]

Above is by-part method/formula.

Where 4 terms are presented:

Our main terms to substitute are u and dv which mean u-term has to be a function that’s differentiatable and dv has to be a function that’s integratable.

The main concept of by-part is to understand how to substitute appropriately which you can simply follow below:

LIATE

Stands for Logarithm, Inverse (Trigonometry), Algebraic, Trigonometric and Exponential.

These are in orders from first to last on what to let u-term first. That means logarithm functions must be the first to substitute themselves as u-term, so if you encounter a logarithmic function and a polynomial function, you must let u = logarithmic function while dv = polynomial.

In this case, we have 2x which is polynomial and sin(x) which is trigonometric. According to LIATE, we have to let Algebraic or Polynomial 2x be first to substitute as u-term, that means our dv is trigonometric sin(x).

Therefore, we have:

Now, substitute these terms in accordingly to formula of by-part.

[tex]\displaystyle \large{\int {2x \sin x} \ dx = 2x \cdot (-\cos x) - \int {-\cos x \cdot 2 \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + \int {2 \cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \int {\cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \cdot \sin x + C}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \sin x + C}[/tex]

__________________________________________________

Summary

  Property

[tex]\displaystyle \large{ \int {k f(x)} \ dx = k \int{f(x)} \ dx \ \ \ \ \tt{(k \ \ \ is \ \ \ a \ \ \ constant.)}\\[/tex]

Only shown in explanation.

  By-Part

[tex]\displaystyle \large{\int u \ dv = uv- \int v \ du}[/tex]

  LIATE

The functions in order that should be u-term from first to last.

These functions above do not have integration formula by default.

  Indefinite Integral

Make sure to always add + C after evaluating the integral, regardless what multiplies or attempts to affect + C, we must always add + C.

__________________________________________________

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:

[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:

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.

HOPE THIS HELPED DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE A 5 STAR AND A HEART FOR SUPPORT. LEAVE A COMMENT FOR ANY FURTHER QUESTIONS ABOUT THIS ANSWER. HAVE A NICE DAY!!

Answer:

THe answer is 13

Step-by-step explanation:

Answer:

its the second one 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

Answer:

3.6 its already rounded just take off the 0

The requried when rounding 3.60 to the nearest tenth is given as 3.60.

When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.

The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.

In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.

Learn more about round-off here:

https://brainly.com/question/12051621

#SPJ6

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

Beyoncé 18 min = 18/60=  = .3 per hour

Kelly = 16 min. 16/60 = 2.6 per hour

So your answer is Beyoncé

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:

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