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Dominik [7]
3 years ago
15

A ball is thrown vertically in the air with an initial velocity of 60 feet per second from an initial height of 6 feet. The equa

tion describing the height of the ball at any time is s = -16t^2 +60t+6.
1. how long did it take for the ball to reach its height point?
2. How high did the ball go?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

  1. 1.875 seconds to reach the maximum height
  2. 62.25 ft

Step-by-step explanation:

The problem can be solved by putting the equation into vertex form.

  s - 6 = -16(t^2 -15/4t)

  s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation

  s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant

  s = -16(t -1.875)^2 +62.25 . . . . put in vertex form

The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).

1. It took 1.875 seconds for the ball to reach its maximum height.

2. The ball went up to 62.25 feet.

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In health class, students record the weights of the sandwiches they have for lunch. The weights are shown in the line plot below
Dvinal [7]
To find the average weight, you need to add all of the numbers and then divide them
I'll start off by doing this:
1/8+1/8 = 2/8
1/4+1/4+1/4+1/4 = 1
3/8+3/8 = 6/8
1/2+1/2 = 1
then I'll add them together:
2/8+6/8 = 1
1 + 1 + 1 =3
now we need to divide the amount of numbers. the amount of sandwiches weighted (10) will have to be divided
therefore, we get 3/10. because this can't be simplified, this will be your final answer.
4 0
3 years ago
I WILL MARK YOU BRAINLIEST!!!!!
iren2701 [21]

Answer:

C. one solution

Step-by-step explanation:

The number of solutions can be found from the number of intersection points.

There are 2 lines, a parabola (curve) and a horizontal line that is parallel to the x axis.

We see that there is 1 point of intersection between the 2 lines, at (2,1)-right 2 and up 1. Therefore, this non linear system has 1 solution.

C. one solution is the correct answer.

7 0
3 years ago
A radar is designed to report the track of an aircraft every 2 seconds. If this radar reports 15 reports 15 tracks in one minute
meriva

Answer:

Step-by-step explanation:

Since radar reports 30 tracks in one minute in which 60 seconds makes 1 minute

Let calculate using this formula

Using this formula

Percentage of time=Tracks reported in minutes/60 seconds*100

Let plug in the formula

Percentage of time=30 tracks/60 seconds*100

Percentage of time=0.5*100

Percentage of time=50%

Inconclusion The percentage of the time that  radar track the aircraft is 50%

5 0
3 years ago
Read 2 more answers
Determine whether −2 is a zero (root) of the function:
lianna [129]

Answer:

The answer to your question is No

Step-by-step explanation:

Data

function f(x) = 2x³ + x² - 10x - 12

To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

Substitution          

               f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12

Simplification          

               f(-2) = 2(-8) + 4 + 20 - 12

               f(-2) = -16 + 4 + 20 - 12

               f(-2) = -28 + 24

               f(-2) = -4

-2 is not a root that the function.

5 0
3 years ago
Read 2 more answers
What is( 5×100)+(6x10)+(8×1/10)+(9×1/1,000) in standard form
nadya68 [22]

Answer:

6x^10+2504/5+(9*1/1,0)

Step-by-step explanation:

Hope this helps :)

5 0
3 years ago
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