Your friend tosses a ball into the air at an initial velocity of 18 feet per second. The equation h = -8t^2 + 18t + 5 models the height h of the ball t seconds after it was thrown.

1. How long was the ball in the air?

2. How high did the ball get?

3. When did the ball hit its highest point?​

Answers

Answer 1

Answer:

2.5 s15.125 ft1.125 s

Step-by-step explanation:

The time and height of the highest point represent the vertex of the graph of the height equation. The positive zero of the equation represents the time the ball was no longer in the air.

__

These points are conveniently found from the vertex form of the equation.

  h = -8(t² -9/4t) +5

  h = -8(t² -9/4t +81/64) +5 +8(81/64)

  h = -8(t -9/8)² +15 1/8 . . . . . . . . vertex is (9/8, 15 1/8)

__

Solving for the zeros, we find ...

  0 = -8(t -9/8)² +15 1/8

  121/64 = (t -9/8)² . . . . . . subtract 15 1/8, divide by -8

  11/8 = t -9/8 . . . . . . . take the positive square root

  t = 20/8 = 2.5 . . . . the time the ball hits the ground

__

1. The ball was in the air for 2.5 seconds

2. The ball got to a height of 15 1/8 feet

3. The ball was at its highest point 1.125 seconds after it was tossed.

Your Friend Tosses A Ball Into The Air At An Initial Velocity Of 18 Feet Per Second. The Equation H =

Related Questions

Marty and Ethan both wrote a function, but in different ways.

Answers

Answer:

what did their functions look like?

Step-by-step explanation:

Answer:

Marty and Ethan both wrote a function in a different way.

Step-by-step explanation:

They both wrote a function.

3x + 2y = 9
y = 4x – 1
(solve algebraically)​

Answers

3x+2y=9
3x+2(4x-1)=9
11x-2=9
+2 +2
11x=11
X=1

Y=4x-1
Y=4(1)-1
Y=3

I bought 5 crates of apples. Each crate contains 10 apples. I want to display the apples on 5 shelves. How many apples will be on each shelf?

Answers

Answer:

10

Step-by-step explanation:

I bought 5 crates of apples

Each crate contains 10 apples

I want to exhibit the appleonin 5 shelves

Therefore the apples on each shelve can be calculated as follows

Total apples= 50

= 50/5

= 10

Hence there would be 10 apples on each shelf

David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

Answers

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps

Please help will mark brainliest !!! 10 points

Answers

Answer:

25 is the right not comform

eight less than five times a number is greater than 6

Answers

Answer:

8 - 5x > 6

Step-by-step explanation:

Answer is in the problem:

eight = 8

less than = minus ( - )

five times a number = 5x (dont know the number so we put down "x")

is greater than 6 = > 6

does that make sense?

5x - 8 > 6is how you write it.But here is how you solve it:1. Add 8 to both sides5x - 8 + 8 > 6 + 8it simplifies to5x > 142. Divide both sides by 55x ÷ 5 > 14 ÷ 5it simplifies tox > 2.8X > 2.8

Choose the expression that shows the difference between x and y.

Answers

Answer:

the difference between x and y is x-y.

Step-by-step explanation:

Angle J and angle M are base angles of isosceles trapezoid JKLM. If angle J= 15x+9 and angle M=9x+15 find K

Answers

Answer:

156°

Step-by-step explanation:

To solve this problem, we first use the relation

15x + 9 = 9x + 15, on collecting like terms, we have

15x - 9x = 15 - 9

6x = 6

x = 1

And if x is equal to 1, then the base angles are 15 + 9 which is 24°.

And finally, to find k, we subtract the calculated angle from 180 and thus

180 - 24 = 156°

Please help me Sally hiked 6 tenths of a 3.6 mile trail. How many miles did Sally have left to hike?

Answers

Answer:Sally hiked 2.16 miles

Step-by-step explanation:

Sally hiked 6 tenths of a 3.6 mile trail.

6 tenths means 6/10

Therefore, Sally hiked   6/10 x 3.6 mile= 2.16 miles

which of these expression is equivalent to -2(3-y)​

Answers

[tex]( - 6 + 2y)[/tex]

answer the question

1

Which descriptions apply to a coordinate plane? Choose more

than one answer.


Cartesian plane


Two-dimensional


Three-dimensional


Extends forever


Perpendicular axes


Parallel axes

Answers

The descriptions that apply to a coordinate plane are:

a) Cartesian plane

b) Two-dimensional

d) Extends forever

e) Perpendicular axes.

The descriptions that apply to a coordinate plane are:

Cartesian plane: A coordinate plane is often referred to as a Cartesian plane, named after the mathematician René Descartes, who introduced the concept of using coordinates to represent points in space.

Two-dimensional: A coordinate plane is a two-dimensional space where points are represented using two perpendicular axes (usually labeled as x-axis and y-axis).

Extends forever: The coordinate plane extends infinitely in all directions along the x-axis and y-axis, allowing representation of points with arbitrary coordinates.

Perpendicular axes: The two axes in a coordinate plane are perpendicular to each other, intersecting at the origin (0, 0). The x-axis is horizontal, and the y-axis is vertical.

The description "Three-dimensional" does not apply to a coordinate plane. A coordinate plane is a two-dimensional space, and it does not have a third axis to represent points in three dimensions.

In a three-dimensional space, you would need an additional axis (usually labeled as z-axis) perpendicular to the x-axis and y-axis to represent points in three dimensions.

Hence, The descriptions that apply to a coordinate plane are:

a) Cartesian plane

b) Two-dimensional

d) Extends forever

e) Perpendicular axes.

learn more on coordinate plane :

https://brainly.com/question/17298849

#SPJ4

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 105 miles per hour. How long will it take for the two trains to be 440 miles apart?

Do not do any rounding.

[] hours

Answers

Answer:

2.2 hr

Step-by-step explanation:

Let t = time

95t = distance of westbound train

105t = distance of eastbound train

95t + 105t = 440

200t = 440

t = 2.2 hr.

EXPLANATION PLEASE AND ILL BRAINLIEST YOU

Answers

Answer:

blank 1: 24

Step-by-step explanation:

According to Pythagoras' Theorem, in a right-angled triangle,

(side 1)² +(side 2)²= (hypotenuse)²

Applying Pythagoras' Theorem,

x² +18²= 30²

x² +324= 900

x²= 900 -324 (-324 on both sides)

x²= 576

[tex]x = \sqrt{576} [/tex]

x= 24 ft


[tex] \frac{15}{100} \times 115[/tex]

Answers

Answer:

3/5

Step-by-step explanation:

Jack is 12 years older than Brian. Two years from now, Jack will be twice as old as Brian. How old is Brian?
Please don't add a link.​

Answers

Answer:

Step-by-step explanation:

I did bad but what's the answer for this?

Answers

Answer:

28 degrees

Step-by-step explanation:

A triangle is always equal to 180 degrees so add the degrees together

40+2x+3x=180

40+5x=180

5x/5=140/5

x=28

find the product for 56.44

Answers

Step-by-step explanation:

55.44=2464

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Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras

Answers

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

Ryan and Sheila are preparing to get married. Sheila has a car payment of $297.00 per month, which is 9% of her monthly income. After they are married, Sheila knows that her car payment will only be 5% of their combined monthly income. How much money does Ryan make per month?

Answers

Answer:

$2640

Step-by-step explanation:

Sheila's car payment is 9% of her total income.

let i = total income

this equation can be used to represent the information :

9%  x i = $297

to determine i, divide both sides of the equation by 9%

$297 / 0.09 = $3300

After the marriage, the car payment which is 3300 would be 5% of the combined income.

let c = combined income

5% x c = $297

c = $297 / 0.05 = $5940

Ryan's income = combined income - Sheila's income

$5940 - $3300 = $2640

What’s the answer to this?

Answers

Answer:

2

Step-by-step explanation:

16 x -4 =
(need process)

Answers

Answer:

-64

Step-by-step explanation:

-16+-16+-16+-16=-64

Answer:

[tex] - 64[/tex]

Step-by-step explanation:

Ignore any negative sign for now.

[tex]16 \times 4[/tex]

Use the algorithm method.

1 6

× 4

______

6² 4

Now consider the signs. One number is positive, and the other number is negative. Therefore, the result will be negative.

[tex]16. \: - 4 = > negative[/tex]

Therefor, 16 × -4 = -64

[tex] - 64[/tex]

help will give brainlist if right!!!!

Answers

Are you taking the state test-

What is the volume of this rectangular prism? 1/2, 4, 3/2

Answers

I’m guessing that the answer is 3
( I don’t see anything)

Factorise the following:
a) x – 5x - 6
b) x + 3x – 40
C) - 7x - 30

Answers

Answer:

-4x-6

4x-40

-7x-30

Step-by-step explanation:

1. Determine the value of x.
Please help

Answers

Answer:

55..........................

Given sin= 3/5 find cos

Answers

Answer:

Step-by-step explanation: you have to use a caculator this is very similar to log you type in Sin as 3/5 then you will divide by cos then you have your answer


A recipe for lemonade calls for 4
cups of sugar for every 24 cups of cold
water. If you only have 2 cups of sugar,
how much water should you use?

Answers

24/4 = 6

6 • 2 = 12

12 cups of water
The answer is 12 cups of water

Write a set of parametric equations for the equation x = 3y - 2 given that t= x + 3​

Answers

Answer:

i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5

Step-by-step explanation:

x = 3(x + 3) - 2

x = 3x + 9 - 2

x = 3x + 7

-2x = 7

x = -3.5

PLEASE HELP URGENT!!!!!!!!! 27 and 28

Answers

Answer:

27) 4.2

28) D

Step-by-step explanation:

Answer:

27. A 4.2ft

28. D

Step-by-step explanation:

27. Since this is a right triangle, we can use a^2 + b^2 = c^2

3.1^2 + b^2 = 5.2

b = sqrt(5.2^2 - 3.1^2)

b = 4.2ft A

28. sqrt(10^2 + 50^2) does not equat 54, this is not a right triangle.

hello please help i’ll give brainliest

Answers

it should be the third option
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