A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = -16(t - 7)(t + 2).

What is a reasonable time for it to take the baseball to land on the ground?

A.
5 seconds
B.
9 seconds
C.
2 seconds
D.
7 seconds

Answers

Answer 1

Answer:

D. 7s

Step-by-step explanation:

h(t) = height off the ground

We know the height of the ball at the point when it hits the ground will be 0, so we set h(t) = 0:

h(t) = -16(t - 7)(t + 2) = 0

In order for this to be true, either:

"t - 7 = 0" or "t + 2 = 0"

We can solve these to get the times at which the ball will hit the ground, which gives:

t = 7 or t = -2

-2s is not a logical time because the ball can't hit the ground before it is thrown so this solution is not relevant;

7s therefore is the correct solution


Related Questions

F(x)=x^2+5 and g(x)=-3x-8
Find g(1) and f(g(1)).

Answers

Answer: I believe that this is the answer

PLEASE DO THIS I WILL MARK U AS BRAINLIEST
PLEASE

Answers

Answer:

Since -15/16 does not equal -16/15, the statement is verified/true.

Step-by-step explanation:

Plug in the numbers for the variable:

-3/4 ÷ 4/5 =/ 4/5 ÷ -3/4

Copy dot flip:

-3/4 × 5/4 =/ 4/5 × -4/3

Multiply numerators and denominators separately:

-3 × 5 / 4 × 4 =/ 4 × -4 / 5 × 3

-15 / 16 =/ -16/15

-15/16 =/ -16/15

-15/16 does not equal -16/15.

answer please help please

Answers

Answer:

89*

Step-by-step explanation:

To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).

To find that angle (let's call it x), we have to use an equation.

Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.

x + 53 + 36 = 180

x + 89 = 180

x = 91

Now to find m<1, we need to use the supplementary angles theorem.

Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.

x + m<1 = 180

91 + m<1 = 180

m<1 = 89

Hence, m<1 is 89*!

Hope this helped! <3

Offering 30 points and branliest ‼️‼️‼️ show work

Answers

Dang, I'm only 12 I don't knowwwww

Answer:

hey buddy sorry i dont know the answer hope this help

Step-by-step explanation:

f(x) = x^2 . what is g(x)?

f(x) = x^2
g(x)​

Answers

Answer:

it C Just took the test

Step-by-step explanation:

sjswbszcjdbenr

Answer:

g(x)= -x^2-2

Step-by-step explanation:

I just took the test

which represents the inverse of the function f(x) = 4x?

Answers

Answer:

[tex]{ \tt{let \: inverse \: be \: m }} \\ m = \frac{1}{4x} \\ x = \frac{1}{4m} \\ { \bf{f {}^{ - 1} (x) = \frac{1}{4x} }}[/tex]

Answer: f(x)=1/4x

Step-by-step:
f(x)=4x
y=4x (replace f(x) with y)
x=4y (switch x and y)
1/4x=y (solve for y by dividing by 4)
y=1/4x
f^-1(x)=1/4x (put the solution back into the function)

hope this helps! :)

If f(x) = 7(x – 2) + 4(x + 1), what is f(2)?

Answers

Answer:

12

Step-by-step explanation:

f(x) = 7(x – 2) + 4(x + 1)

Let x =2

f(2) = 7(2 – 2) + 4(2 + 1)

        =7(0) +4(3)

       = 0+12

      = 12

59:40
20-
What are the domain and range of the function on the
graph?

O The domain includes all integers
, and the range is y
0.
12+
O The domain includes all integers, and the range is
8-
The domain includes all real numbers, and the range
is y 2 0.
The domain includes all real numbers, and the range
is y > 0
4
1
2
3
4
5
6
7 X

Answers

Answer:

The domain includes all real numbers, and the range is y > 0.

Step-by-step explanation:

It is represented by [x] read as step 'x'

It is defined for all x

∴ domain=(−∞,∞)

The range is y > 0.

Compare surfing in an incoming neap tide to surfing in an incoming spring tide.

Answers

Answer:

• Tides are the great rise and fall of sea water caused by the gravity of the moon and the sun.

Gió thổi trên mặt nước trong các đại dương chịu trách nhiệm cho dòng hải lưu. Tuy nhiên, dòng hải lưu trong đại dương không được hình thành bởi gió đơn thuần. Nước gần cực lạnh trong khi nước gần xích đạo ấm. Sự chênh lệch nhiệt độ giữa hai vùng nước này cũng chịu trách nhiệm cho sự hình thành dòng hải lưu. Địa hình đáy đại dương, mưa và thậm chí thủy triều cũng gây ra dòng chảy trong nước.

Step-by-step explanation:

Please help will be marked as brainliest if correct

Answers

Answer:

743 divided by 4= 185.75

87,965 divided by 365= 241

6,546 divided by 9= 727.333333                                                                                           Hope this helps! :P

hi please help will mark brainliest​

Answers

Answer:

Carlie is correct he or she has the best and most were to explain the answer.

Step-by-step explanation:

what is 2.6234 rounded to 2 SF?

Answers

Answer:

2.6

Step-by-step explanation:

2.6234

We round to the tens place

Look  at the hundreds place

2.62 Since the 2 is less than 5, we leave the 6 alone

2.6

Answer:

2.6

Step-by-step explanation:

2.6234

Round to 100 place

= 2.62

Now, round it to tenth place

= 2.6

Solve g + (-11) = 19 for g.

Answers

Answer:

30

Step-by-step explanation:

19+11=g

inverse operations

Answer: g = 30

Step-by-step explanation:

g + (-11) = 19

g - 11 = 19

g = 19 + 11

g = 30

how do i answer on the subjects

Answers

Answer:There is a button that says answer you click on answer and then give the answer and then once your finished click the green button on top that says add your answer.

Step-by-step explanation:

Answer:

---

Step-by-step explanation:

Either you can click on the "answer" button on the question in main menu, or you can click on the question, and then click the "add your answer" button.

---

hope it helps

Graph the compound inequality on the number line. x 3<=-4 or x>= 3​

Answers

Answer:

Is included in the photo

Step-by-step explanation:

Hope I helped, have a nice day :)

Find the missing length, using one of the trigonometric ratios.​

Answers

Step-by-step explanation:

x= 10 sin 60° = 10×½√3 = 5√3

y= 10 cos 60° = 10×½ = 5

x2 − 2x − 2 into the form a(x − h)2 + k.

Answers

Answer:

x² - 2x - 2

By Completing the Square....

x² - 2x + 1² - 2 - 1²

(x - 1)² - 3 .....

Hope it helps.

HELP ASAP IM BEING TIMED

Answers

Answer:

Last option is the answer. <3

How are prisms and pyramids alike and how are they different?

Answers

Prisms and pyramids are  geometric shapes that have flat sides, flat bases and angles. So those are some similarities. However, the bases and side faces on prisms and pyramids differ. Prisms have two bases while pyramids only have one. There are a variety of pyramids and prisms, so not all shapes in each category look the same.

Hit the heart if this was helpful

The three sides lengths of four triangles are given. Which triangle is a right triangle?

Answers

Answer:

I believe the right answer is answer A

find the area of the composite shapes.

Answers

38.1372ft2

Step-by-step explanation:

lxw 6x4

[tex] \frac{1}{2} \pi \: {r}^{2} [/tex]

add both together, your radius is half your length so half of 6ft is 3 for your radius

Mrs. Kaplan"s son, Carter, can crawl 125 feet in 1.5 minutes. He can walk 384 feet in 4 minutes. Is he faster on all fours or on his feet?

Answers

Answer:

Crawling

Step-by-step explanation:

Please could someone explain me why the answer is not 10x5?

Answers

Answer:

20x^5

Step-by-step explanation:

You have to first find the prime factors of each term in order to find the greatest common factor.

Substitute 8 for x and evaluate the expression below.
5(x + 1) - 20

Answers

Answer:

25

Step-by-step explanation:

Substituting x = 8 into the expression

5(8 + 1) - 20

= 5(9) - 20

= 45 - 20

= 25

Answer:

25

Step-by-step explanation:

see Image below:)

x² + 6x = 7
Can u please tell me the answer I need it fast

Answers

the first x=1
the second x=-7
The answer is in the photo

Can some one heeelpppp please

Answers

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

to find first quartile,median,third quartile data must be arranged in ascending to descending order

since the data is already in the order so we dont need to change

median=(N+1)/2 (N is number of data)

=(7+1)/2

=8/2

=4 th term

=55


Doug needs to order 25,000 g of a
supplement. At the store,
supplements come in 5 kg packages
that cost $80 each. What will Doug's
order cost?

Answers

Answer:

$2000

Step-by-step explanation:

1,000 g would be = 1 Kg so it would be 25 Kg

And 25 X 80 = 2000

Answer:

$400

Step-by-step explanation:

25,000 grams is equal to 25 kg, so if 5 kg equals $80, the total 25 kg divided by 5 equals five. With this you multiply; 5 × 80 kg = 400. So $400 is the answer.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

A line segment is a line drawn with two end points.

1.) Option A is a point

2.) Option B is a line segment

3.) Option C is a ray

4.) Option D is a line

Hope this helps!

Answer Please.......​

Answers

Answer:

7.1

Step-by-step explanation:

Use the trig ratio tan to find b

4.5 x tan (23) = b = 7.14668887526

7.1

Answer:

b ≈ 1.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan23° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{4.5}[/tex] ( multiply both sides by 4.5 )

4.5 × tan23° = b , then

b ≈ 1.9 ( to the nearest tenth )

There are
15
apples in a basket.
6
of these apples are green. The rest of them are red.
(a) What is the ratio of red apples to all apples in the basket?
(b) What is the ratio of green apple to red apples?

Answers

Answer:

 (a) 9:15

  (b) 6:9

Step-by-step explanation:

Total apples: 15

6 : green

9 are red

9:15

6:9

Answer:

(a) 3 : 5

(b) 2 : 3

Step-by-step explanation:

green apples = 6 total apples = 15 red apples = 15 - 6

= 9 apples

(a) red apples : all apples

= 9 : 15

for simplified form dividing numerator and denominator by 3

= 3 : 5

(b) green apples : red apples

= 6 : 9

for simplified form dividing numerator and denominator by 3

= 2 : 3

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