Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of each cup?

Answer: m^3/8+3m^2n/2+6mn^2+8n^3 Hope that helps!

Step-by-step explanation:

1. Use cube of sum : (a+b)^3=a^3+3a^2b+3ab^2+b^3

(m/2+2n) ((m/2)^2+2×m/2×2n+(2n)^2)

2. Use division distributive property: (x/y)^a= x^a/y^a

(m/2+2n)(m^2/2^2+2×m/2×2n+(2n)^2)

3. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+(2n)^2)

4. Use multiplication distributive property (xy)^a= x^a y^a

(m/2+2n)(m^2/4+2×m/2×2n+2^2n^2)

5. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+4n^2)

6. Cancel 2

(m/2+2n)(m^2/4+m×2n+4n^2)

7. Regroup terms

(m/2+2n)(m^2/4+2mn+4n^2)

8. Expand by distributing sum groups

m/2(m^2/4+2mn+4n^2)+2n(m^2/4+2mn+4n^2)

9. Expand by distributing terms

m^3/8+m^2n+2mn^2+2n(m^2/4+2mn+4n^2)

10. Expand by distributing terms

m^3/8+m^2n+2mn^2+nm^2/2+4n^2m+8n^3

11. Collect like terms

m^3/8+(m^2n+m^2n/2)+(2mn^2+4mn^2)+8n^3

12. Simplify.

And your answer would be m^3/8+3m^2n/2+6mn^2+8n^3

Can you make me Brainliest please

Answer:

B

Step-by-step explanation:

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

Answer:

m∠1 = 100°

Step-by-step explanation:

Answer:

Hello! Sorry about your luck before although im 99% sure my answer is correct.

Answer: area is 180

Step-by-step explanation:

Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...

7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

Answer

1/ 2^20 • z^15

step by step explanation

Answer

Step-by-step explanation:

Answer:

The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold. The designer will reject the shipment of gold and miss out on an honest business relationship with the supplier.

Step-by-step explanation:

Type I error is defined as the rejection of the true null hypothesis. It is also called as the 'false positive' conclusion or 'false positive' findings. The value of alpha or the significance level determines the probability of making the error type I.

In the context, it is given that for a gold piece to be of 18 karat , the piece of jewelry must be made of 75% of pure gold.

The null hypothesis is, H0: The proportion of metal that is gold is 75%

The alternative hypothesis is Ha: The proportion of metal that is gold is less than 75%.

Thus the type I error is when the gold shipment is made of 75% gold but the jewelry designer rejects the shipment thinking that the shipment is made of less than 75% gold.

Thus it shows the error of type I rejecting the null hypothesis.

Answer:

x =±2 sqrt(6)

Step-by-step explanation:

x^2 = 24

Take the square root of each side

sqrt(x^2) = sqrt(24)

x = ±sqrt(4*6)

x =±sqrt(4) sqrt(6)

x =±2 sqrt(6)

Answer:

75 vitamins = 18 dollars

Step-by-step explanation:

25 vitamins are equal 6 dollars

Answer:

$311.25

Step-by-step explanation:

Hope its right!   50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15

1/$4.15 x 75 = 75/$311.25  I hope this is right if not im so sorry!

Answer:

[tex]x = 152[/tex]

because these angles are infront of each other

Answer:

x = 152

Step-by-step explanation:

x and 152° are vertical angles and are congruent , then

x = 152

the second one.

Step-by-step explanation:

sjisidjdododpdpddod

The Coordinates for point A and B are as follows:

A                                 B

 1                                  2

 2                                 4

 3                                 6

A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point.

The Coordinates for point A and B are as follows:

A                                 B

 1                                  2

 2                                 4

 3                                 6

 4                                 8

 5                                 10

 6                                 12

 7                                  14

 8                                  16

 9                                  18

 10                                20

Thus, y-coordinates are double than x-coordinates.

Learn more about Coordinate system from:

https://brainly.com/question/4726772

#SPJ2

Answer:

9n + 2.

Step-by-step explanation:

This is arithmetic with common difference d = 9.

nth term = a1 + d(n - 1)     (a1 = 11) 11 + 9n - 9

= 11 + 9(n - 1)

= 9n + 2.

Answer:

82 minutes

102 minutes with breaks

Step-by-step explanation:

So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.

Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French

Answer:

x=1+√13 or x=1−√13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

5x2−10x−21−39=39−39

5x2−10x−60=0

For this equation: a=5, b=-10, c=-60

5x2+−10x+−60=0

Step 2: Use quadratic formula with a=5, b=-10, c=-60.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(5)(−60)

2(5)

x=

10±√1300

10

x=1+√13 or x=1−√13

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form by subtracting 39 from both sides.  We get:

5x^2 - 10x - 60 = 0

Reduce this by dividing all four terms by 5:

x^2 - 2x - 12 = 0

Use the quadratic equation to find the roots.  The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:

(-2)^2 - 4(1)(-12)  = -44   of which 4 is a perfect square factor and 11 is not.

Because the discriminant is negative, the given equation has two unequal, complex roots, which are:

      -(-10) ± i√4√11

x = -----------------------

                10

or x = 1 ± (1/5)√11

Answer:

no x² + 5x + c is a perfect square

Step-by-step explanation:

Answer:

Descuento= $240

Step-by-step explanation:

Dada la siguiente información:

Precio de venta (sin descuento)= $1.200

Descuento= 20%

Para calcular el descuento que le hicieron a Carlos, debemos utilizar la siguiente formula:

Descuento= precio de venta*porcentaje de descuento

Descuento= 1.200*0,2

Descuento= $240

Answer:

Yes

Step-by-step explanation:

You can refer to the photo that I attached.

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

Answer:

Two Real Solutions

Step-by-step explanation:

Use quadratic equation discriminant5t^2+3t-7=0

[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:

Since the discriminant is greater then 0, it two real solutions.

Answer:

I believe the volume is 540cm

Step-by-step explanation:

To find the volume of a rectangular prism, all you really need to do is multiply the length x width x height (LxWxH)

For this shape it's just:

9(L)*12(W)=108

108*5(H)=540

Answer:

the volume should be 58320

Step-by-step explanation:

12 x 9 x 12 x 5 x 9 = 58320

sorry if I'm wrong

Answer:

A. 90 clockwise

Step-by-step explanation:

I think...

Answer:

7/32 pounds  each  = 0.21875

Step-by-step explanation:

7/8 divided into 4 is the same as

7/8 multiplied by 1/4  = 7/32

Answer:

D

Step-by-step explanation: