A boy throws a ball into the air. The equation h=−16t^2+23t+4 models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown. How long is the ball in the air?

Answers

Answer 1

Answer:

0.72secs

Step-by-step explanation:

Given the height of the ball in air modeled by the equation:

h=−16t²+23t+4

Required

Total time it spent in the air

To get this we need to calculate its time at the maximum height

At the maximum height,

v = dh/dt = 0

-32t + 23 = 0

-32t = -23

t = 23/32

t = 0.72secs

Hence the total time it spend in the air will be 0.72secs

Answer 2

The total time for which the ball is in the air is 0.72 seconds and this can be determined by differentiating the given function.

Given :

A boy throws a ball into the air. The equation [tex]\rm h = -16t^2+23t+4[/tex] models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown.

Differentiate the given function of height with respect to 't' in order to determine the value of 't'.

[tex]\rm h = -16t^2+23t+4[/tex]

[tex]\rm \dfrac{dh}{dt}=-32t+23[/tex]

Now, equate the above differential equation to zero.

-32t + 23 = 0

23 = 32t

t = 0.72 seconds

So, the total time for which the ball is in the air is 0.72 seconds.

For more information, refer to the link given below:

https://brainly.com/question/24062595


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[(2,3) (2,4) (2,5) (2,3)]

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Answer:

no their is not supposed to be any repeating x's

Step-by-step explanation:

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Answer:

[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]

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Answer:

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Is 8/18 closer to 0 1/2 or 1

Answers

1/2, 8/18 = 4/9, which is close to 4/8 wich is equal to 1/2

Answer:

Closer to 1\2

Step-by-step explanation:

half of 18 is 9 and if you add 1 to 8 you get 9 so 8\18 is closer to 1\2

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y=x-1

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in 3 hours it will be 18 minutes

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18 minutes is the answer

Step-by-step explanation:

•Time couple rested in 2 hrs = 12 min

•Time couple rested in 1 hr = 12/ 2 min = 6min

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Answers

The answer to this question is B and D

Answer:

D will round to 18.96

Step-by-step explanation:

18.958, 5+ will get rounded higher so it turns to 18.96, hope this helps you!

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Use the algebra tiles to model x – 3.

Then complete the statements.

The variable is represented by
✔ one orange x tile
Subtracting three is represented by
✔ three blue – tiles
.
The tiles represent
✔ subtracting 3 from
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Answer:

A.D.D

Step-by-step explanation:

On Edge 2022

HOPED THIS HELPED YOU OUT

Find the scale factor of PQRS to JKLM and the values of w, x, and y.

Answers

D cause Times x by y and your answer should be

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

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Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

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Answers

Answer:

23

Step-by-step explanation:

12, 65, 3, 8, 23, 64, 19, 53, 0, 24, 57, 15, 39

First put in order.

0, 3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64, 65

Eliminate each number alternating from beginning and end like so.

3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64

Keep doing until you get to the middle.

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12, 15, 19, 23, 24, 39, 53

15, 19, 23, 24, 39

19, 23, 24

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Answers

Answer:

the two numbers are 12 and -1.

Step-by-step explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

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divide through by 9 to have,

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Substitute the value of y in equation 3,

x = 11 - (-1)

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x = 12

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Katie's baby took 3 naps. Each nap was of an hour long.
6
How long did the baby nap in all? Move numbers to the blanks to answer the question.

Answers

Answer:

18 naps

Step-by-step explanation:

We have the keyword each, so we are multiplying, so our equation is:

3 x 6 = 18

So, Katie's baby napped for 18 hours in all

Answer:

18 is the answer  

I WILL GIVE BRAINLIEST IF FIRST PERSON GET THE ANSWER RIGHT HELP!!!!!!!!!!!!
The figure shows a carpeted room. How many square feet of the room are carpeted?


A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 11 feet. The line on the left is labeled 9 feet. The side on bottom is labeled 6 feet, and the side adjacent to it on the right is labeled 5 feet


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Answer:

i would say 74 but i may be wrong

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1. X= 61/8

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(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.


A: At her current pace, how many items will Kristina sell in 28 days?

B:Is she on track to meet the goal? Explain

Answers

A. Kristina will sell 294 items in 28 days if she stays on her current pace.
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QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answers

Complete Question

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

[tex]C=27535.5881128[/tex]

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

   [tex]C=\frac{starting salary}{CPI for 2013(index} *CPI for 2003(index)[/tex]

   [tex]C=\frac{34,862}{232.957} *184[/tex]

Therefore C the comparable starting salary is givrn to be

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Step-by-step explanation:

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please help y'all no matter what I do I cannot figure this out please help what number would you add to both sides to complete the square in this trinomial x ^ 2 + 6x = -5 and the options are 6 , 9 , 12 and please show how you did it so I can figure out the rest of my homework ​

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Step-by-step explanation:

Evaluate -x+23y if x=9 and y=2

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Which expression is NOT equivalent to 24 + 6x?
A. 2(3x + 12)
B. 28 + 4x – 4 + 2x
C. 5x + 7 + x + 17
D. 3(8 + 3x)

Answers

Answer:

D

the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x

3(8 + 3x)  is not equivalent to 24 + 6x.

Option D expression is not equivalent to 24 + 6x.

What is an expression?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

According to the question

Expression is NOT equivalent to 24 + 6x

A . 2(3x + 12)

= 2(3x) + 2(12)

= 6x  + 24

= 24 + 6x

B. 28 + 4x – 4 + 2x

= (28 - 4) + (4x + 2x)

= 24 + 6x

C. 5x + 7 + x + 17

= (5x + x) + (7 + 17)

= 6x + 24

= 24 + 6x

D. 3(8 + 3x)

= 3(8x) + 3(3x)

= 24 + 9x

Hence, Option D is not equivalent to 24 + 6x.

3(8 + 3x)  is not equivalent to 24 + 6x.

Find out more information about expression here

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Anyone mind helping me? 4.5+x=11?

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Move all terms not containing x to the right side of the equation.

x = 6.5

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