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KatRina [158]
2 years ago
7

Evaluate the expression for h=-54. |h| + 30=

Mathematics
1 answer:
insens350 [35]2 years ago
3 0

1. Observe problem

2. Plug in values

|-54|+30=

54+30=

84

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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
Special taxes may be placed on an estate.<br> true<br> or<br> false
kondor19780726 [428]

Answer:false

Step-by-step explanation:

5 0
3 years ago
Please place 0,1, and 1/2 in the correct boxes. Thank you
kolezko [41]

Answer:

The first one is 1/2

The second one is 1

The third one is 0

Step-by-step explanation:


7 0
3 years ago
A shoe store displayed 75 pairs of shoes on 12 shelves. How many pairs of shoes could the store display on eight shelves.
yanalaym [24]
50 pairs of shoes since 75/12 is 6.25 and then multiply 6.25x8
8 0
3 years ago
Read 2 more answers
For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car
n200080 [17]

The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

We can solve this problem by exponential function:

The word  depreciate means the price is decreasing.

We can find the value be when the car is 10 years old:

p = 38800(1 - 0.06)¹⁰

p = 38800(0.94)¹⁰

p = 20898.266 ≈ $20898.27

Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

6 0
1 year ago
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