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vekshin1
3 years ago
6

A customer pays $18 for DVD that originally cost $20. What is the percent decrease in the cost of the dvd.

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Answer:

2

Step-by-step explanation:

18-20=2 so thats your answer

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How do you solve (2x + 8 )2 =64
Drupady [299]

Answer:

x = 12

Step-by-step explanation:

  1. Write in a different way: 2(2x + 8) = 64
  2. Apply the distributed property, so it now looks like this: 4x + 16 = 64
  3. Subtract 16 from each side, so it now looks like this: 4x = 48
  4. Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 12

I hope this helps!

4 0
2 years ago
Given 1 inch = 2.54 centimeters, enter the value that will complete this
vesna_86 [32]
If 1 inch= 2.54 centimeters, 12 inches or 1 foot = 30.48 centimeters, so 3.5 feet = 106.68 centimeters


Mark brainliest please


Hope this helps you
7 0
2 years ago
Jon ran around a track that was 1\8 of a mile long.He ran around the track 24 times.How many miles did Jon run?
balandron [24]

Answer:

3 miles

Step-by-step explanation:

5 0
3 years ago
A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

__

Interestingly, the ratio of h to r is √2.

8 0
3 years ago
Use lagrange multipliers to find the maximum volume of a rectangular box that is inscribed in a sphere of radius r
vesna_86 [32]

For the derivative tests method, assume that the sphere is centered at the origin, and consider the circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined

1

by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner by

x2+y2+z2=r2 =⇒z= r2−(x2+y2). Then the volume of a box with this coordinate for the corner is given by

V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),

and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the boundary of this domain, so we need only consider critical points contained inside the domain in order to carry this optimization out.

For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint x2 + y2 + z2 = r2<span>. </span>

7 0
3 years ago
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