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uysha [10]
3 years ago
7

What is the value of w?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0
The Answer is-2.5 because first multiply the numbers are in parentheses
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An open box with a square base is to have a volume of 18 ft^3.
kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0
2 years ago
Lisa lives in Atlanta. She is going to a baseball game with her two sisters and her parents. They have $100 to spend. After they
9966 [12]

Not enough information. How much do the tickets cost?

4 0
3 years ago
How many 2/3 are in 1?
Alinara [238K]

Answer:

Um 1 if you mean 1/3 then 3

5 0
2 years ago
Read 2 more answers
1. WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the
Eva8 [605]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Upper level seat = $25

Mid level seat = $40

Number of tickets to give away is at least 25

Budget constraint = $1000

part A: write a system of two inequalities that describe this situation

Number of tickets constraint:

Upper level + mid level ≥ 25

u + m ≥ 25

Cost constraint :

$25u + $40m ≤ $1000

Part B:

Give away 10 upper level seat tickets and 15 mid level seat tickets

8 0
2 years ago
170 What is the mZBAC?​
Westkost [7]

Answer:

m<BAC = 85°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

m<BAC = 170°/2

m<BAC = 85°

3 0
2 years ago
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