1. Find the volume of both right cylinders.

Answer:

$338.20

Step-by-step explanation:

Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,

89/10=8.9

$8.9 per hour

So 38 hours would be

8.9 x 38= $338.20

Answer:

$338.20

Step-by-step explanation:

Answer:

whats the question that u need help with

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

                                     Cost      Production Max.

Console screen (x)      $600              450

Wide-screen (y)           $900              200

                                 $360,000

We have:

[tex]600x+900y \leq 360,000[/tex]

Because they can't spend more than $360,000 in production.

[tex]x\leq 450\\y\leq 200[/tex]

Because the number of television is restricted.

The profit function is

[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]

450 console screen and 100 wide screen give a profit of $76,250.

Answer:

If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.

The graph opens upward, if the vertex of the quadratic function with a positive a value.

Given that, the quadratic function with a positive a value.

The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.

If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.

Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.

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You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.

5x*4x=20x^2

5x*4=20x

2*4x=8x

2*4=8

Combine them all together and you get 20x^2 + 28x +8

I hope this helps.

Answer:

20x^2 + 28x + 8

Step-by-step explanation:

you use the box method shown in the picture to multiply then combine like terms

Answer:

755 m²; 785 m²

Step-by-step explanation:

In the picture attached, the prism is shown.

Lateral area = perimeter of base * height

The base is a right triangles, then its perimeter is:

perimeter: 5 + 6 + 11.21 = 22.21 m

Lateral area = 22.21*34 = 755 m²

Surface area = lateral area + 2 (Area of base)

The base is a right triangles, then its area is:

area of base = (1/2)*5*6 = 15 m²

Surface area = 755 + 2*15 = 785 m²

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

Answer:a

Step-by-step explanation:I know

Answer:

Step-by-step explanation:

Hands you please help

Answer:

Step-by-step explanation:

Area = 28 Sq.ft

length * width = 28

2 * n = 28

Divide both sides by 2

2n/2 = 28/2

n = 14 ft

Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help

Answer:

none

Step-by-step explanation:

57+75+95= 227

24+70+75= 169

48+64+80= 192

19+27+80=73

A right triangle equals 180 degrees.

Answer:

a-1yd20in

Step-by-step explanation:

a-4ft 8in

b-4ft

c-3ft 4in

d-3ft

Answer:

it's A, one yard and 20 inches

Step-by-step explanation:

If you convert them all to inches,  a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.

Answer:b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin 60 = h/12

h = 12sin60

h = 12* √3/2 = 6√3 cm

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Note: Options are not correct.

From the given information, in triangle RPQ

[tex]\angle QRP=40^\circ[/tex]

[tex]\angle RPQ=105^\circ[/tex]

[tex]\angle PQR=35^\circ[/tex]

In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side

Now,

[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]

[tex]RQ>QP>PR[/tex]

[tex]RQ>PQ>RP[/tex]

Therefore, the order from longest to shortest is RQ, PQ and RP.

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Answer:

.000645

Step-by-step explanation:

.0006.45

move the decimal place 4 places to the Left because it is a negative.  

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

The correct option is D. The graph z is representing a quadratic function.

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

The general form of the quadratic functions is represented as below:-

y = ax² + bx + c

Where a,b, and c are the constants x and y are variables.

The graph of the quadratic functions will be parabolic on the x-y plane.

Therefore, the correct option is D. The graph z is representing a quadratic function.

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Answer: Bro write the question better

Step-by-step explanation:

Answer:

48π

Step-by-step explanation:

The radius is 4 and the height is 9

V=1/3*π 4^2*9

Simplify:

48π

Answer:

2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Answer: 2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Answer:

a

Step-by-step explanation:

a

Answer:

[tex]\sqrt{24}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{9}[/tex] cannot be correct because it equals 4.4.

[tex]\sqrt{20}[/tex] cannot be correct because it equals 4.5.

480% is 480/100 which equals 4.8 which is also not correct.

Therefore, [tex]\sqrt{24\\}[/tex] is correct because it is greater than 4.8 and less than 5.0.

Answer: [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3}-(-5)=[/tex]

Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.

[tex]-\frac{2*3+1}{3} -(-5)=[/tex]

Solve;

[tex]-\frac{6+1}{3} -(-5)=[/tex]

[tex]-\frac{7}{3} -(-5)=[/tex]

Now, get rid of the two negatives by multiplying.

[tex]-\frac{7}{3} +5=[/tex]

Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.

[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]

To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.

[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]

Solve;

[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]

Subtract numerators and keep the same denominator.

[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]

Convert to a mixed number. To do this, first, divide:

8/3=2

6

----

2

The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]

Answer:

30 cm³

Step-by-step explanation:

Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.

Volume of cone = ⅓ × 90 = 30 cm³

Answer:

The answer is 3

Step-by-step explanation:

Answer:

5 to the power of -2

Step by Step explanation:

Because you are diving, you need to subtract the powers.

For example, you subtract 10 from 12 to get -2

The 5 remains the same so the answer should be 5 to the power of -2

Hope this helps

Answer:

x=28

Step-by-step explanation:

[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]

The value of x is 28.

A mixed fraction represented with its quotient and remainder is a mixed fraction.

To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.

According to the question:

we have

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

for finding the value of x

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]

⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex]                      (multiply both the sides by 3)

⇒ [tex]x= 28[/tex]

The value of x is 28.

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30 12

Step-by-step explanation:

21 + 9 equals 30 21 - 9 equals 12