A person standing close to the edge on top of a 144-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 128 t + 144 models the ball's height about the ground, h ( t ) , in feet, t seconds after it was thrown. What is the maximum height of the ball?

Answers

Answer 1

Answer:

400m

Step-by-step explanation:

Given the quadratic equation that models the height of the ball above the ground as;

h ( t ) = − 16 t^2 + 128 t + 144

t is in seconds

To get the maximum height of the ball, first we must know the time taken by the ball to reach the maximum height.

Note that the ball has a velocity of zero at its maximum height.

v(t) = dh/dt

v(t) = -32t+ 128

at max height, v(t) = 0

0 = -32t + 128

32t = 128

t = 128/32

t = 4secs

To get the maximum height of the ball, you will substitute t = 4 into the modeled function as shown;

h ( t ) = − 16 t^2 + 128 t + 144

h ( 4 ) = − 16 (4)^2 + 128 (4) + 144

h ( 4 ) = − 256 + 512 + 144

h(4) = 400m

Hence the maximum height of the ball is 400m


Related Questions

At a middle school, 3 out of every 4 students ride a bus to school. There are 600 students at the school. How many students ride a bus to school?

Answers

Answer:

450?

Step-by-step explanation:

A package of 5 pairs of insulated gloves costs $41.45. What is the unit price of the pairs of gloves?
The unit price is $ per pair of gloves.
View progress

Answers

Answer:

$8.29

Step-by-step explanation:

Answer:

The answer is $8.29

Step-by-step explanation:

The answer is $8.29 because if the gloves cost $41.45 for 5 pairs of gloves, you would divide $41.45 by 5 to get the answer $8.29.

hope this helps :))))

fine the exact rationalized value of sin(25π/6)

Answers

Answer: 1/2 1 over 2 if you didn’t know that’s fraction form and decimal form it’s 0.5

use the line tool and select two points to graph the line
graph f(x) = - 0.25x + 4​

Answers

for the points on the graph that the other person provided, make sure they’re positive. positive is on the right, and top of the graph. negative is on the left and bottom side of the graph. just a little info :)

Answer:

8,2 and 0,4 are the points you need on the graph

Step-by-step explanation:

find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35

Answers

Answer: 20.5

Step-by-step explanation:

subtract 0.05 from each answer until you get 20 terms then add those terms up

Quick whats 9+10 I need help I will mark you

Answers

Answer:

19 (The true answer is 19 xD)

Step-by-step explanation:

19 !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Brandon used 1 2
3 kg of plant food on his strawberry plants and used 1
4
kg for his tomato plants.
He wants to feed his strawberry plants 2 more times and his tomato plants one more time.
How much plant food will he need?

Answers

Answer:

[tex]5\dfrac{1}{2}\ \text{kg}[/tex]

Step-by-step explanation:

Plant food used on strawberry plants is

[tex]1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}[/tex]

Plant food used on tomato plants is

[tex]\dfrac{1}{4}\ \text{kg}[/tex]

Feeding the strawberry plants two times means

[tex]\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}[/tex]

Feeding the tomato plants one more time means

[tex]\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}[/tex]

The plant food he will need is [tex]5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}[/tex]

Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?

Answers

Answer:

8 hours

Step-by-step explanation:

72 miles per hour

576/72= 8

8 hours. 936/13 equals 72, so 576/72 is 8 hours

Graph the function. I have provided a picture. First one to answer correctly will get Brainliest

Answers

Answer: Draw a straight line through (0, -4) and (2, -1)

Diagram is below

======================================================

Explanation:

The equation is in the form y = mx+b

m = 3/2 = 1.5 is the slope

b = -4 is the y intercept

The y intercept tells us where the graph crosses the y axis. In this case, it happens at (0,b) = (0,-4)

So (0,-4) is one point on the line.

The slope will tell us how to get to another point. Recall that

slope = rise/run

So we see that rise = 3 and run = 2 indicating we'll go up 3 and over to the right 2. Doing that will have you go from (0,-4) to (2,-1)

Therefore, the line will go through the two points (0,-4) and (2,-1) as shown in the diagram below. You can use more points, but two is the minimum number needed to graph a straight line.

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

Another way to get points needed to graph this is to plug in various values of x. Let's say we plug in x = 0

y = (3/2)x - 4

y = (3/2)*0 - 4

y = 0 - 4

y = -4

We see that x = 0 leads to y = -4. So (x,y) = (0,-4) is one point on the line.

If we tried x = 2, then,

y = (3/2)x - 4

y = (3/2)*2 - 4

y = 3 - 4

y = -1

Showing (2,-1) is another point on the line. I didn't pick x = 1 since that would have led to a fractional value. It's easier to work with whole numbers in my opinion.

The football team has a total of jerseys. There are ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys? nothing​% are​ medium-sized jerseys. ​(Type a whole​ number.)

Answers

Answer:

70% are medium-sized jerseys.

Step-by-step explanation:

The complete question is:

The football team has a total of 20 jerseys. There are ​14 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys? nothing​% are​ medium-sized jerseys.

Solution:

The information provided is:

The football team has a total of 20 jerseys. There are ​14 medium-sized jerseys.

Compute the percentage of medium-sized jerseys as follows:

[tex]\text{Medium-sized Jerseys}\%=\frac{n(\text{Medium-sized Jerseys})}{N}\times 100[/tex]

                                     [tex]=\frac{14}{20}\times 100\\\\=70\%[/tex]

Thus, there are 70% medium-sized jerseys.

Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}

Answers

The solution of the equation by the quadratic formula are, {±2/3, ±i}

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ1

Explain Why a sequence is descrete

Answers

Because it represents an ordered list

Evaluate the algebraic expression for v= 1 and r = 7
6r - |-8+v|

Answers

Answer:

41

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

6r - | - 8 + v | ← substitute v = 1 and r = 7 into the expression

= 6(7) - | - 8 + 1 |

= 42 - | - 1 |

= 42 - 1

= 41

I'll give brainliest.

Simplify the fraction
61/82 as much as possible.

Answers

Answer:

it cannot be simplified

Step-by-step explanation:

Answer: it is already simplified

61/82

I need this for hw pleaseeeeeeeee very quick

Answers

Answer:

i think  students 3

Step-by-step explanation:

What is the volume of a square pyramid that is 60 m on each side of its base and has a height of 100 m round to the nearest 10th

Answers

Answer:

Volume of square pyramid=120,000 m³

Step-by-step explanation:

We are given: Base of square pyramid = 60 m

Height of square pyramid = 100 m

We need to find Volume of square pyramid.

The formula used is: [tex]Volume \ of \ square \ pyramid=\frac{1}{3}a^2h[/tex]

Where a is base and h is height of square pyramid

Putting values in formula and finding volume of square pyramid

[tex]Volume \ of \ square \ pyramid=\frac{1}{3}a^2h\\Volume \ of \ square \ pyramid=\frac{1}{3}(60)^2(100)\\Volume \ of \ square \ pyramid=\frac{1}{3}(3600)(100)\\Volume \ of \ square \ pyramid=120,000\ m ^3[/tex]

So, Volume of square pyramid=120,000 m³

A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What equation represents the length of the first side if the second side is length s?

Answers

Answer:A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Write and solve an equation to find the length of each side of the triangle.

The sides can be found by taking the square root of the area. , where = side. . So the length of a side is 6.3 cm.

Step-by-step explanation:

Write as an exponent with the base of b:
[tex](b^{n})^{4}[/tex]

Answers

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[tex] {b}^{n \times 4} = {b}^{4n} [/tex]

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1/2 divided by 1/5 (Written as a Fraction)

Answers

Answer:

2.5 as a decimal as a fraction 5/2 or 2 1/2

Step-by-step explanation:

Lisa and Molly are on a bridge and see a tree sticking out of the water. Use the diagram to determine how far away Lisa is from the tree in the water. Use appropriate units.

Answers

Answer:

26.5 ft

Step-by-step explanation:

Let the point of the tree sticking out water be represented as S.

Thus, we have ∆LMS.

How far Lisa is from the tree in the water = [tex] \overline{LS} [/tex]

Using Sine Rule, find [tex] \overline{LS} [/tex]

[tex] \frac{\overline{LS}}{sin(M)} = \frac{\overline{MS}}{sin(L)} [/tex]

[tex] \overline{LS} = x [/tex]

[tex] \overline{MS} = 22 ft [/tex]

[tex] \angle M = 103 [/tex]

[tex] \angle L = 54 [/tex]

Plug in the values into the equation

Thus:

[tex] \frac{x}{sin(103)} = \frac{22}{sin(54)} [/tex]

Multiply both sides by sin(103)

[tex] \frac{x}{sin(103)}*sin(103) = \frac{22}{sin(54)}*sin(103) [/tex]

[tex] x = \frac{22*sin(103)}{sin(54)} [/tex]

[tex] x = 26.5 ft [/tex] (nearest tenth)

✅Lisa is 26.5 ft far away from the tree in the water.

prove that 1 + cos 2A / sin 2A=CotA​

Answers

Answer:

I assume that there are parentheses missing from the question and that it should be

Prove that  1 + sin 2A + cos 2A                                                                                                                                                                            ----------------------------------------------  = cot A

1+sin2A−cos 2A

Use sin 2 A= 2 sin A cos A and

cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1

Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?

Answers

Answer:

 CAN YOU MARK ME BRAINLIEST ??

The answer is 1/8 candy left!!

Step-by-step explanation:

3/4=6/8 because x2.

6/8-5/8= 1/8

Answer:

1/8 of the jelly beans

Step-by-step explanation:

You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8

RIGHT ANSWERS ONLY
How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

The answer is 220.875
So you round it to $220.88
I just multiplied 28.5 by 7.75
Hope this helps :)

You spent 1/5 of your birthday money on 2 video games. If each video game cost the same amount, what fraction of your birthday money did each video game cost?

Answers

Answer:

1/10

Step-by-step explanation:

Let total money be m

Then, the money spent on 2 video games is 1/5m

Each game costs:

1/5m ÷ 2 = 1/10m

So each video game costs 1/10 of birthday money

Answer:

1/10

Step-by-step explanation:

spent 1 on 2 video games

          5

= 1/5

    2 games

= 1/10 of money spent on each game

Shelby's Ice Cream Shop sold 8 sundaes with nuts and 4 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Answers

Answer: 2:1

Step-by-step explanation:

The ratio of A to B is given by :  [tex]\dfrac{A}{B}[/tex] or A : B  .

Given : sundaes with nuts  = 4

sundaes without nuts = 8

The ratio of the number of sundaes with nuts to the number of sundaes without nuts = [tex]\dfrac{8}{4}=\dfrac{2}{1}\ \ \ [\text{Divide numerator and denominator by 4 }][/tex]

= 2:1

hence, the required ratio = 2:1 .

Is it a function?
(√2y-3)-(4x)

Answers

As long as x-value doesn't give 2 y-values.

Also it's a function.

Yes it is a function

Bryanne bought a loaf of bread that is shaped like a rectangular prism. She then cut the loaf of bread.
Select two shapes that could be cross-sections of this loaf.
A.
circle
B.
ellipse
C.
triangle
D
trapezoid

Answers

C that is the right answer

Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? explain

A) 4
B) 10
C) 44
D) 90

Answers

Answer:

A. 4

Step-by-step explanation:

90% of 40 is = 36

40 - 36 = 4

Since he got 36 right out of 40, he got 4 wrong.

Johnny has 4 cups of hot cocoa the instructions tell him to add 1 pint of water for every 2 pints of cordial how much water should he add

Answers

Answer:

1 pint

Step-by-step explanation:

Which expression is equal to the polynomial below? 2x4 + 5x3 – 8x – 20

x3(2x + 5) + 4(2x – 5)

x3(2x + 5) – 4(2x + 5)

x3(2x – 5) – 4(2x – 5)

x3(2x + 5) + 4(2x + 5)

Answers

Answer:

x3(2x5)-4(2x5

Step-by-step explanation:

Hope that helps

Answer:

B) x3(2x + 5) – 4(2x + 5)
Included the whole page!!


EDGE2022; Good Luck :3!!!

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