Which function is represented by the graph

An air conditioning system can circulate 350 cubic feet of air

per minute. How many cubic yards of air can it circulate per

minute?

About 13.0 cubic yards

The amount of air in cubic yards per minute will be 12.96 cubic yards per minute.

Conversion means to convert the same thing into different units.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

An air conditioning system can circulate 350 cubic feet of air per minute.

We know that 1 foot = (1/3) yards, then the 1 cubic foot = (1/27) cubic yards.

350 cubic feet / minute = (1/27) x 350 cubic yards / minute

350 cubic feet / minute = 12.96 cubic yards / minute

The amount of air in cubic yards per minute will be 12.96 cubic yards per minute.

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Answer:

14. H. 110°

15. D. <8

Step-by-step explanation:

14. Given that line AD and line EG are parallel as shown above, m<3 and m<4 are linear pairs and are supplementary. That is, m<3 + m<4 = 180°.

If m<3 = 70°, therefore, m<4 = 180° - 70°

m<4 = 110°

15. <3 corresponds with <8. Corresponding angles are congruent. Therefore, <3 = <8.

Responder:

Explicación paso a paso:

De la pregunta, la secuencia de imágenes, cuya expresión indica es 4 cadeiras, 6 cadeiras, 8 cadeiras ...

Se puede ver la secuencia una progresión aritmética de la forma 4, 6, 8 ... Para obtener la expresión que indica la cantidad de cadenas utilizadas o colocaremos n tablas una al lado de la otra, tendremos que encontrar el enésimo término de la secuencia que usa la fórmula para encontrar el enésimo término de una secuencia aritmética.

El enésimo término de un AP se expresa como Tₙ = a + (n-1) d donde;

a es el primer término

n es el número de términos es la diferencia común

De la secuencia generada, a = 4, d = 6-4 = 8-6 = 2

Tₙ = 4+ (n-1) 2

abre el paréntesis

Tₙ = 4 + 2n-2

Tₙ = 2n + 4-2

Tₙ = 2n + 2

Por lo tanto, la expresión que indica la cantidad de cadenas utilizadas o colocaremos n tablas una al lado de la otra es 2n + 2

Answer:

[tex]2\frac{2}{5}[/tex] hours, or 1 hours and 24 minutes

Step-by-step explanation:

4/5 battery remaining

drains at rate of 1/3 per hour

[tex]\frac{1}{3}h=\frac{4}{5}\\\frac{3}{1}(\frac{1}{3}h)=\frac{3}{1}*\frac{4}{5}\\h=\frac{3*4}{1*5}=\frac{12}{5}=2\frac{2}{5}[/tex]

He has 2 2/5 hours or 2 hours and 24 minutes left until his phone dies.  (A fifth of an hour is 12 minutes and we have 2/5 to deal with, so 12 times 2 is 24 mins.)

The answer is C and D

First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation 9x^2 - 6x - 6 = 0

Then we will use the quadratic formula to find the answers.

using the Quadratic Formula where:

a = 9, b = -6, and c = -6

and the formula is 6 +- [tex]\sqrt{6^{2} } -4 (9)(6) /2 (9)[/tex]

Answer:

12 ounces

Step-by-step explanation:

0.30 x + 0.35 (18) = 0.33 (x + 18)

0.30 x + 6.3 = 0.33 x + 5.94

0.36 = 0.03 x

x = 12

Answer:

the area of the triangle is 20 units, and the answer to the expression is also 20, so its equal to each other. 20=20

the area of the trapezoid is 38.5 units

Step-by-step explanation:

Answer: z=1−x+w/r

Step-by-step explanation:

Subtract x from both sides.

z-w/r=1-x

Add w/r to both sides.

z=1−x+w/r

hope i helped

-lvr

Answer:

5/6

Step-by-step explanation:

To simplify this fraction, we need to find the GCF (greatest common factor) of the numerator and denominator. In this case, the GCF of 55 and 66 is 11. Now, all we have to do is divide both the numerator and denominator by the GCF. The numerator will become 55 / 11 = 5 and the denominator will become 66 / 11 = 6 so the simplified fraction is 5 / 6.

Answer:

table 2

Step-by-step explanation:

see attached

Answer:

table no. 2

Step-by-step explanation:

Answer:

There are 50 part-time students:

15 of them, take only one course.

10 of them, take only two courses.

then the rest, this is:

50 - 10 - 15 = 25

25 students take 3 courses.

b) What percent of students take exactly two courses?

15 out of 50 take exactly two courses, the percentage is:

p = (10/50)*100% = 20%.

c) What percent of students take one or two courses?

This will be the percentage of students that take only one course plus the percentage of students that take two courses:

The percentage of students that take two courses is already known: 20%.

Now, for 1 course we have 15 students out of 50, the percentage is:

p = (15/50)*100% = 30%.

Then the percentage that take 1 or 2 courses is:

P = 30% + 20% = 50%

20% of students take exactly two courses, and 50% of students take one or two courses.

Given that fifty part-time students were asked how many courses they were taking this term, of which 15 take only 1 course, while 10 take 2 courses, to determine what percent of students take exactly two courses, and what percent of students take one or two courses, the following calculation must be performed:

Therefore, 20% of students take exactly two courses, and 50% of students take one or two courses.

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Answer:

Step-by-step explanation:

Given 3 positive integers x, y and z, if their product is 125, then;

xyz = 125 .......... 1

Sum of the integers S(x, y, z) = x+y+z ........... 2

From equation 1; x = 125/yz ........3

Substitute equation 3 into 2

S(x, y, z) =  125/yz+y+z

Sy  =  -125/y²z + 1

Sz  =  -125/z²y + 1

For the sum to be minimum, Sy = Sz = 0

-125/y²z + 1 = 0

-125/y²z = -1

-125 = -y²z

125 = y²z

Also; is Sz = 0

-125/z²y + 1 = 0

-125/z²y = -1

-125 = -z²y

125 = z²y

Hence y²z = z²y = 125

From y²z = 125, z = 125/y²

Substitute z = 125/y² into the equation 125 = z²y

125 = (125/y²)²× y

125 = 125²/y⁴ × y

125 = 125²/y³

1 = 125/y³

y³ = 125.

y = 5

Since 125 = y²z

5²z = 125

25z = 125

z = 5

From the product xyz = 125

x(5)(5) = 125

25x = 125.

x = 5

Hence x = y = z = 5

Answer:

14 + 3x  + 46 = 90

3x + 60 =90

3x = 30

x = 10

Answer:

Step-by-step explanation:

If u see it is right angle so 90 - 14 u will get an or bc 76

3x+46=76

3x=76-46

3x=30

X=30/3

10

Answer: x = -2

x + 9 = 7, Move the constant to the right.

x =7 -9 now calculate that.

then you get x = -2

Hope that helps ya out :D

Answer:

x+9=7

So x= 7-9

( 9 became -9 because we brought it back to the other side to have the x alone and the digits alone )

So x= -2

Answer: volume is 9 cubic units

===================================================

Explanation:

Each cross section is a square with side length x, so the area of this cross section is x^2

We're integrating from x = 0 to x = 3

So we have

[tex]\displaystyle f(x) = x^2\\\\\\\displaystyle g(x) = \int x^2 dx = \frac{1}{3}x^3+C\\\\\\\displaystyle \int_{a}^{b} f(x) dx = g(b) - g(a)\\\\\\\displaystyle \int_{0}^{3} x^2 dx = g(3) - g(0)\\\\\\\displaystyle \int_{0}^{3} x^2 dx = \left(\frac{1}{3}(3)^3+C\right) - \left(\frac{1}{3}(0)^3+C\right)\\\\\\\displaystyle \int_{0}^{3} x^2 dx = 9\\\\\\[/tex]

Answer: 4 x 3 = 12

6 x 2 = 12

Step-by-step explanation:

Answer:

Answer: so the answer is 80 miles per 0.8 Step-by-step explanation: consistence

Answer:

80,617

Step-by-step explanation:

the 1 in the tens place puts the number back down to 600

Answer:

Step-by-step explanation:

[tex]72.46387 = 72[/tex]

4 is not up to 5

Answer:

A. 8

Step-by-step explanation:

32 divided by 4 = 8

The answer is a. 8 in.

Since the width of the rectangle is 4 inches (in) and the area of the rectangle is 32 in², we need to find the length of the rectangle.

We know that the area of a rectangle with length, L and width, W is A = LW.

Since we need to find the length of the rectangle, we make the length, L subject of the formula.

Since A = LW,

L = A/W

Given that A = 32 in² and W = 4 in

Substituting the values of the variables into the equation, we have

L = 32 in²/4 in

L = 8 in

So, the length of the rectangle is 8 in

So, the answer is a. 8 in.

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Answer:

Distance between the two check point (C and D) is 4920 ft.

Step-by-step explanation:

From the question given above, we obtained the following information:

X is 6000 ft from C (1st check point)

D (2nd check point) is the midpoint point between C and Y ( the end of the race)

Total race = 3 miles

1 mile = 5280 ft

Next, we shall express the total race in feet (ft).

This is illustrated below:

1 mile = 5280 ft

Therefore,

3 miles = 3 × 5280 = 15840 ft

Next, we shall determine the distance between the 1st check point (C) and the end of the race (Y)

This can be obtained as follow:

Total distance = 15840 ft

Distance between X and C = 6000 ft

Distance between C and Y =?

Distance between C and Y = (Total distance) – (Distance between X and C)

Distance between C and Y = 15840 – 6000

Distance between C and Y = 9840 ft

Finally, we shall determine the distance between the two check point (C and D) as follow:

Since D is midpoint between C and Y, therefore, we shall we shall divide the distance between C and Y by 2 in order to obtain the distance between the two check point (C and D).

This is illustrated below:

Distance between C and Y = 9840 ft

Distance between the two check point (C and D) = 9840/2 = 4920 ft

Therefore, the distance between the two check point (C and D) is 4920 ft

Answer:

[tex]3x - 5 = 2 {x}^{2} \\ = > 3x = 2 {x}^{2} + 5 \\ = > x = \frac{2 {x}^{2} + 5 }{3} [/tex]

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2      

y= 3 x-2      

x= 3y - 2  

3 y -2 = x

3 y -2 + 2 = x + 2

3 y =  x   +  2                                                      

3        3       3

3 y =  x   +  2                                                      

3        3       3

y =  x  +  2          replace y with f ^ -1(x)

     3        3                                            

f ^-1 (x) =    x   +  2        

                 3       3      

Answer:

hello attached below is the detailed solution

answer : In |x+1| + [2/(x+1)] + [1/(1+x)^2] - [y^2/2(1+x)^2] = 5/2

Step-by-step explanation:

Given

(x^2 + y^2 - 3) dx = ( y + xy ) dy,  y(0) = 1

solving the given initial-value problem

Answer:

x = 4

Step-by-step explanation:

We can first expand 5(x-10), getting 5x - 50.

Thus, 5x - 50 = 30 - 15x

We can then isolate x, getting (5+15) x = 30 + 50

20 x = 80

x = 4.

Answer:

5(x - 10) = 30 - 15x

We distribute 5 (x-10)

So 5x-50 = 30 -15x

5x+15x=50+30

(-15x became 15x because we brought it back to the other side and -50 became 50 because we brought it back to the other side to put the x's with the x's and the digits with the digits.)

So 20x=80

x= 50/20

We simplify 80/20

So x=4

Answer:

2x − 5

Step-by-step explanation:

To solve, divide the numerator by the denominator.  The result (not including the remainder) will be the equation of the slant asymptote.

We can tell the first term of the quotient will be 2x, so the answer will be either 2x − 5 or 2x − 17/3.

The easiest method here is to simply multiply these by denominator.

(3x² − 1) (2x − 5) = 6x³ − 15x² − 2x + 5

(3x² − 1) (2x − 17/3) = 6x³ − 17x² − 2x + 17/3

So the answer must be 2x − 5.

Alternatively, you can use long division.

Answer:

2x-5

Step-by-step explanation:

f(x)=(6x^3−15x^2+x−4 )/(3x^2−1)

To find the slant asymptote,divide the numerator by the denominator

       2x   +(-15x^2+3x-4)/ (3x^2-1)  

    -5   +   (3x-9)/(3x^2-1)

The divisor is (2x-5) and the remainder is ( 3x-9)

Answer:

12<4 (12 to the power of 4)

Step-by-step explanation:

an exponet is used when a number is repeated multiplied against itself. sinec 12 is being multiplied against itself 4 times, we can use the exponent of 4

Answer: [tex]12^4[/tex]

Step-by-step explanation:

Concept to know: for exponents, the amount of same number that is multiplied together will be the number of exponents

--------------------------------------

12×12×12×12

There are in total 4 [12]'s multiplied together, so we will get [tex]12^4[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

  4

Step-by-step explanation:

The polynomial 3x^3 +4x^2 -8x -5 has 4 terms. A term is a product or single variable or constant separated from other terms by a plus or minus sign.

The four terms are ...