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3 years ago

H(t)=-16t^2+80t+64 after 40 feet off the ground

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

5 0

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

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Jill manufactures purses. She spends $1200 each month on rent and utilities for her shop. If each purse cost $9 each for labor a

mafiozo [28]

She needs to sell 48 to break even

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4 years ago

What is the solution to the equation below? Round your answer to two

MrRa [10]

Answer:

C. x = 3.71

Step-by-step explanation:

4 + 9(ln x) = 15.8

Subtract 4 from both sides.

9(ln x) = 11.8

Divide both sides by 9.

ln x = 11.8/9

x = e^(11.8/9)

x = 3.71

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3 years ago

Read 2 more answers

What expression is equivalent to 4.8+2.2w-1.4w+2.4

monitta

you have to reduce this expression before

4.8+w(2.-1.4)+2.4

4.8+2.4+0.6w

7.2+0.6w

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3 years ago

B) Consider the weighted voting system (q: 8,4,2,1). Find the Banzhaf power distribution of this weighted voting systwm when q=1

pashok25 [27]

Answer:

Given : (q: 8,4,2,1)

q = 15

List all coalitions ( 2 pair)

$(P_1,P_2)=\text{Total weight }=8+4=12 \\(P_1,P_3)\text{Total weight }=8+2=10 \\(P_1,P_4)\text{Total weight }=8+1=9 \\(P_2,P_3)\text{Total weight }=4+2=6 \\(P_2,P_4)\text{Total weight }=4+1=5 \\(P_3,P_4)\text{Total weight }=2+1 = 3$

Those whose total weight is equal to q or more than q will go further in the list of winning coalitions

Since No pair's total weight is equal to q or more than q . So, we will not consider then further

Coalitions ( 3 pair or more)

$(P_1,P_2,P_3)=\text{Total weight }=8+4+2=14 \\(P_1,P_2,P_4)\text{Total weight }=8+4+1=13 \\(P_1,P_3,P_4)\text{Total weight }=8+2+1=11 \\(P_2,P_3,P_4)\text{Total weight }=4+2+1=7 \\(P_1,P_2,P_3,P_4)\text{Total weight }=8+4+2+1=15$

Those whose total weight is equal to q or more than q will go further in the list of winning coalitions

winning coalitions:

$(P_1,P_2,P_3,P_4)$

If Player 1 leaves

So, total weight will be 4+2+1 = 7

So, Player 1 is critical

If Player 2 leaves

So, total weight will be 8+2+1 = 11

So, Player 2 is critical

If Player 3 leaves

So, total weight will be 8+4+1 = 13

So, Player 3 is critical

If Player 4 leaves

So, total weight will be 8+4+2 = 14

So, Player 4 is critical

Player Times critical Banzhaf power index

1 1 $\frac{1}{4} \times 100 = 25\%$

2 1 $\frac{1}{4} \times 100 = 25\%$

3 1 $\frac{1}{4} \times 100 = 25\%$

4 1 $\frac{1}{4} \times 100 = 25\%$

Sum = 4

7 0

3 years ago

The triangle has an area of 7-7/8 cm² and a base of 5-1/4 cm. What is the length of h? Explain your reasoning.

navik [9.2K]

Answer:

Step-by-step explanation:

The equation for the area of a triangle is A=1/2(b)(h)

we have the area and the base, so we plug those values in resulting in 7 7/8=1/2(5 1/4)(h)

From there, we solve. Multiply 5 1/4 by 0.5, resulting in 2.625

then, you divide 7 7/8 by 2.625 and you get 3.

4 0

2 years ago