All categories

3 years ago

Hitting the baseball over the lights

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

Answer:

Approximately 3.8 seconds

Step-by-step explanation:

H(x)=-16x^2+60x+4

We want to find when the ball hits the ground, or where the zeros are

0 =-16x^2+60x+4

Using the quadratic formula

-b ±sqrt(b^2 -4ac)

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

-60 ±sqrt(60^2 -4*-16*4)

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

2(-16)

-60 ±sqrt(3600+256)

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

-32

-60 ±sqrt(3856)

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

-32

We want the positive value for time

-60-62.09669879

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

-32

3.815521837

Approximately 3.8 seconds

You might be interested in

PLEASE HELP 69 POINTS, BRAINLIEST, 5 STARS, AND THANKS.

OverLord2011 [107]

Answer:

a) 125 scoops b) 31 scoops

Step-by-step explanation:

The sink = 4000/3 pi

a) The volume of a Cone is 1/3 (pi)(h)(r)^2, meaning...

(1/3)(pi)(8)(2^2)=32/3 pi, and...

(4000pi/3)/(32pi/3) =

4000/32 =

125

b) The volume of a Cone is 1/3 (pi)(h)(r)^2, meaning...

(1/3)(pi)(8)(4^2) = 128pi/3, and...

(4000pi/3)/(128pi/3) =

4000/128 =

31.25, which is approx. 31

7 0

3 years ago

Read 2 more answers

Point A is at (-2, 4) and point is at (4,7).

natali 33 [55]

Answer:

B(2,-7)

Step-by-step explanation:

5 0

3 years ago

Molly scored 86, 87, 93, and x

zmey [24]

Answer:

Step-by-step explanation:

Average is the sum of all data points divided the number of data points.

In this specific situation, the average test score, 91, is equal to the sum of Molly's four individual test scores divided by the number of test Molly had, 4.

(( 86 + 87 + 93 + x) / 4) = 91

86 + 87 + 93 + x = 91/4

86 + 87 + 93 + x = 364

x = 364 - 93 - 87 - 86 = 98

3 0

3 years ago

What is the equivalent logarithmic form of the equation 4(10)1.5t=20?

Cloud [144]

Answer: t = 1/3

Divide both sides by 60.

4 x 10 x 1.5t = 20/60

7 0

3 years ago

It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of

max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

$x+y=1770\text{ -----------(1)}$

If there are 3 females for every 2 males, we have that:

$\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{ ----------(2)} \end{gathered}$

We can substitute equation (2) into equation (1) and solve for y:

$\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}$

Dividing both sides by 5, we have

$y=1062$

There are 1062 females in the county.

3 0

1 year ago