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Anuta_ua [19.1K]
3 years ago
14

a ball is dropped from a height of 784ft. It's height h, in feet, after t seconds is given by h(t) =784-16tsquared. After how lo

ng will the ball reach the ground?
Mathematics
1 answer:
Nitella [24]3 years ago
5 0

h(t) = -16t2 + 64

Time to reach ground:

h(t) = 0

-16t2 + 64 = 0

Solve for t, keeping only the positive solution.

Time to fall 36 ft:

Since it is dropped from 64 ft, its height after falling 36 feet is 64-36=28 ft.

28 = -16t2 + 64

-16t2 + 36 = 0

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A bag contains pennies nickels and dimes there are 50 coins in all of the coins 16% are pennies and 36%are dimes there are 6 mor
QveST [7]

Answer:

The bag contains $2.39

Explanation 40% of 50 coins is 20 dimes which equals 2 dollars

8 percent is 4 pennies

2.00+ .04 is 2.04

Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35

2.04+.35= 2.39

8 0
3 years ago
Suppose a designer has a palette of 8 colors to work with, and wants to design a flag with 2 vertical stripes, all different col
Vesna [10]

Answer:

For a flag with 2 different colours, there are 8 possible colours for the first colour to be chosen from and 7 possible colours (excluding the first colour already chosen) for the second colour to be chosen from, given that colours are different. Hence there are a total of 8 x 7 = 56 possible flags to be created.

Step-by-step explanation:

4 0
3 years ago
Select the correct answer.
nikdorinn [45]

Answer:

a negative linear association (C)

Re-Written Problem [Formatted]

Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?

Numbers of players on team are going to be 1, 2 , 3, 4, 5.

time taken to complete game (in minutes) 32, 26, 20, 14, 8

(Select the correct answer)

A. Positive linear association

B. Exponential relationship

C. Negative linear association

D. No relationship

----------------------------------------------------------------------------------

Step-by-step explanation:

Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)

<em />

<em>[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]</em>

<em />

So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.

So, you would see a negative line, showing a negative linear association.

5 0
2 years ago
Write a polynomial function in standard form for the given set of roots.
Rashid [163]

Answer:

f(x)  =  {x}^{4}  +4 {x}^{3} + 3 {x}^{2}

Step-by-step explanation:

Let f(x) be the polynomial.

If x=-3, x=0,x=0, x=1 are roots ,then by the factor theorem, x+3=0,x=0,x=0, x+1=0 are factors of f(x).

This implies that:

f(x) = (x + 3)(x)(x)(x + 1)

f(x) =  {x}^{2} ( {x}^{2}  + x +  + 3x + 3)

f(x) =  {x}^{2} ( {x}^{2}  +4x + 3)

Expand further to get:

f(x)  =  {x}^{4}  +4 {x}^{3} + 3 {x}^{2}

3 0
3 years ago
I’ll fine you brainlist if you answer please answer it’s URGENT
Marat540 [252]

Answer:

6, 0, 10

B

Step-by-step explanation:

Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.

8 0
3 years ago
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