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qaws [65]
3 years ago
12

a catapult launches a boulder with an upward velocity of 122 feet per second the height of the boulder H in feet after T seconds

is given by the function h x 2 equals negative 16t ^ 2 + 122 t + 10 how long does it take the boulder to reach maximum height what is the boulders maximum height
Mathematics
2 answers:
Archy [21]3 years ago
6 0

Answer: <em><u>Reaches a maximum height of 242.56 feet after 3.81 seconds.</u></em>

<em>i think </em>

<em>bing bong bing bing bong bye</em>

SVETLANKA909090 [29]3 years ago
5 0
It will reach about 242.56 feet after 3.81 seconds.

In this quadratic equations, we have the following values.
A = -16, B = 122 and C = 10

The expression for x-value of the vertex is (-b/2a). Doing this will give you the time of 3.8125 seconds.

Just input that value back into the equation and you will get the max height of 242.56 feet. 
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3 years ago
7x+11y+9-2x+1
Brums [2.3K]

Answer:

5x      +11y    +10

Step-by-step explanation:

7x+11y+9-2x+1

Combine like terms

7x-2x     + 11y      +9 +1

5x      +11y    +10

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3 years ago
The Springer Dog Food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts o
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Answer:

a) Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) Attached

c) The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

Step-by-step explanation:

a) The LP formulation for this problem is:

Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) The feasible region is attached.

c) We have 3 corner points. In one of them lies the optimal solution.

Corner A=0 B=0.75

C=0.50*0+0.20*0.75=0.15

Corner A=0.5 B=0.5

C=0.50*0.5+0.20*0.5=0.35

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) If the company requires only 5 units of vitamins per pound rather than 6, one of the restrictions change.

The feasible region changes two of its three corners:

Corner A=0 B=0.625

C=0.50*0+0.20*0.625=0.125

Corner A=0.583 B=0.333

C=0.50*0.583+0.20*0.333=0.358

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

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It's 5 because the fraction when you divide. 23.
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1.) Find the equation of the line perpendicular to y = 4x - 2 that passes through (3, -1).
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Answer:

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3 years ago
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