A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

h(t)=-16t^2+48t+64

Find when h(t) = 64

64 = -16t^2+48t+64

Subtract 64 from each side

0 =  -16t^2+48t

Factor

0 = -16t( t-3)

Using the zero product property

-16t =0    t-3 =0

t=0 and t=3

Other than at t=0,  so at t=3 seconds

How long will it take for f ball to reach its maximum height?

Find the vertex

t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds

It will reach the maximum height at 1.5 seconds

What is the maximum height reached by the ball?

The height will be

h(1.5) = -16*(1.5)^2+48(1.5)+64

       = -36+72+64

       = 100

The maximum height is 100 ft

How long will it take for the ball to hit the ground?

h(t) =0

0=-16t^2+48t+64

Factor

0 = -16( t^2 - 3t -4)

0=- 16( t-4) (t+1)

Using the zero product property

t-4=0     t+1=0

t =4     t = -1

Since time cannot be negative

t=4 seconds


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Step-by-step explanation:

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[tex](0,-1)[/tex]

Step-by-step explanation:

[tex](x^{2} -x^{1} )(y^{2} -y^{1} )[/tex]- the formula

[tex](-1 - -1) = 0[/tex]

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  ^

this is the swiggly line

If 2KL=KL+MN, then KL=MN

Choose the definition, theorem, or postulate that justifies the statement.

A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
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Answers

Answer:

a. subtraction property of equality

Step-by-step explanation:

Melissa shot a rocket 360 meters into the air, it took 4 seconds to fly that far. What’s the average speed of the rocket?

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Answer:90meters per second

Step-by-step explanation:

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Answer:

-5<y<-3

Step-by-step explanation:

I need help ASAP!!!!

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Answer:

3x-x+2=4

Step-by-step explanation:

0.05 is 1/10 value of what number

Answers

Answer:

1/2=x

0.5

Step-by-step explanation:

x will be the number

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Answer:I think it’s 75

Step-by-step explanation:

What operation is happening in an additive pattern??

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Reason: because

P=a+b+c solve for b and graph the inequality

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I need points can you give me some of your points

Order the events from least likely (on top) to most likely (on bottom).

Answers

Answer:

so, look at the percentage, since -20 is lower, it is least likely, next is  10%, next s the 30% and last, the 4/5th. 4/5 simplified is 80% or 80 out of 100

Step-by-step explanation:

Answer:Greatest to least.

4/5

30%

10%

-20

Step-by-step explanation:

A community orchestra is losing money. They have always sold tickets for
$12, but they decide to increase the price by $3. For their next concert, they
sell 200 tickets at the increased price.
Select the expression representing the amount of money earned from ticket
sales.

Answers

Answer:

$3,000

Step-by-step explanation:

you add $3 to $12 and that's $15.so,know you multi..15 by 200.

Name the subset(s) of real numbers to which the number belongs.
−1.57

A. integer only
B. rational only
C. irrational and rational
D. rational and integer

Answers

it’s b- rational (i think)

Lisa wants to glue decorative paper onto the block. What is the total surface area that Lisa would need to cover?

Answers

More information plz.

Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket

Answers

Answer: adult = $11

Child = $8.5

Step-by-step explanation:

Let the cost of an adult ticket be a

Let the cost of child ticket be c.

From the question,

3a + 4c = $67 ....... i

5a + 6c = $106 ...... ii

Multiply equation I by 5

Multiply equation ii by 3

15a + 20c = $335

- 15a + 18c = $318

2c = $17

C = $17/2 = $8.5

Put the value of c into

3a + 4c = $67

3a + 4($8.5) = $67

3a + $34 = $67

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3a = $33

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Answer:

what is the question exactly??

can you please elaborate...

Step-by-step explanation:


6. Which inequality describes the situation when Bob has at least 3 pets?

Answers

if x is the amount of pets Bob has:

≥=greater than or equal to, bob has 3 pets or more thus

x≥3

An airplane travels 4,425 kilometers west in 5 hours. What is its average velocity?

Answers

Answer:

Option C. 885 km/h West

Explanation:

Data obtained from the question. This include the following:

Displacement = 4425 Km due West

Time = 5 hours

Velocity =?

Velocity is defined as displacement per unit time. Mathematically, it is expressed as

Velocity = Displacement /Time

With the above formula, we can calculate the velocity of the plane as follow:

Velocity = Displacement /Time

Velocity = 4425/5

Velocity = 885 km/h West

Step-by-step explanation:

i did the quiz/test

Eight less a number is less than or equal to seventeen. I want the solution to be simplified and I want x with my answer.

Answers

Answer:

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Step-by-step explanation:

(essay)
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Answer:

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PLZ HELP List all the possible numbers of pennies that Gigi could have in order to have her pennies into rectangular array with more than one row or column and she has a remainder (in this case leftover pennies). Remember she must have between 10 and 30 pennies total.

Answers

Answer:

If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:

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A market stall has 13 bags of apples, and 11 loose apples on display. In
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Answers

Answer:

10 apples

Step-by-step explanation:

141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag

we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag

graph y=1/2x+2 please explain

Answers

Answer:

Step-by-step explanation:

y=1/2x+2

1/2 is the slope, which means the graph increases by 1/2

the y intercept is how the slope increases

so the slope increase 1/2 +2

The graph of y=1/2x+2 is shown in figure below

How do we make graph of a function?

Suppose the considered function whose graph is to be made is

f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values

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They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

Given;

y=1/2x+2

Here, 1/2 is the slope, which means the graph increases by 1/2

the y intercept is how the slope increases;

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The graph of the given function;

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Answers

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Step-by-step explanation:

Please just do whatever you can

Answers

Answer:

6. -62/289 or -0.249135

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Answers

Answer:

HCF = 90

Step-by-Step explanation:

2 × 3⁴× 5 = 810

2³× 3²× 5²= 1800

Find the prime factorization of 810

810 = 2 × 3 × 3 × 3 × 3 × 5

Find the prime factorization of 1800

1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 3 × 5

HCF = 90

rachelle can walk 2.5 miles in 40 minutes. at this rate how far
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Answers

Answer:

She could walk 3.75 miles in an hour.

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Answers

Your answer will be:

(p - 9) (p + 4) in factored form.

Usually, when Elena makes bird food, she mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same.
Group of answer choices

3 cups of seeds and 5 tablespoons of syrup

2 cups of seeds and 3 tablespoons of syrup

5 cups of seeds and 2 tablespoons of syrup

3 cups of seeds and 2 tablespoons of syrup

MATH
6TH GRADE
GIVING AWAY FREE BRAINLIEST

Answers

Answer:

3 cups of seeds and 2 tablespoons of syrup

Step-by-step explanation:

Compare the ratios to the original one (9:6) see what is equal. In order, they are:

3:5

2:3

5:2

3:2

Look!

3:2 is equal to 9:6 because:

9 ÷ 3 = 3

and

6 ÷ 3 = 2

Hope this helped!

Answer:

thanks for the free points britt

Step-by-step explanation:

can someone please help me out?? :(( i have been stuck on this for 20 mins. i SUCK at math

Answers

Answer: Is it 24

Step-by-step explanation:

You have to make 1/6 and 3/8 have the same common denominator so in order to do that u have to make each denominator 48 since that’s the LCD. You then have to multiply by each number whatever it needs to get 48 on the bottom.

1/6 x 8 =8/48
3/8 x 6 =18/48
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