A ball is hit into air at time t=0 seconds.its height above the ground is given by the equation h=25t-9.8t².what is the value of t when the ball lands on the ground?

Answers

Answer 1

Answer:

The ball lands on the ground at t=2.55 seconds

Step-by-step explanation:

Quadratic Equation

The following function models the height above the ground of a ball hit into the air at time t seconds:

[tex]h=25t-9.8t^2[/tex]

We need to find the value of t when the ball hits the ground.

At ground level, h is zero, thus:

[tex]25t-9.8t^2=0[/tex]

This is an incomplete quadratic equation that can be easily solved by factoring:

[tex]t(25-9.8t)=0[/tex]

There are two solutions:

t=0

t=25/9.8=2.55 s

The first solution corresponds to the moment when the ball is hit, and the second is when it returns to the ground, thus:

The ball lands on the ground at t=2.55 seconds


Related Questions

A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.

Answers

Answer:

Chair  x₁ = 10

Sofa   x₂ = 18

z(max)  = 2250 $

Step-by-step explanation:

Information:

Operation-Profit             Carpentry         Finishing      Upholstery     Profit

                                           hours                 hours              hours             $

Chair (x₁)                                3                        9                      2                90

Sofa  (x₂)                                 2                        4                     10               75

Objective Function z:

z =  90*x₁ + 75*x₂

Constrains:

1.-66 hours of carpentry available

3*x₁ + 2*x₂ ≤ 66

2.- 180  hours of finishing available

9*x₁  +  4*x₂ ≤  180

3.- 200 hours of upholstery

2*x₁  +  10*x₂  ≤ 200

Model:

z = 90*x₁ + 75*x₂    to maximize

Subject to:

3*x₁ + 2*x₂ ≤ 66

9*x₁  +  4*x₂ ≤  180

2*x₁  + 10*x₂  ≤ 200

x₁ >= 0  x₂ >= 0

From simplex method solver we get the answer

x₁ = 10         x₂  = 18       z = 2250

The linear programming model is:

Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]Subject to [tex]\mathbf{3x + 2y \le 66}[/tex], [tex]\mathbf{9x + 4y \le 180}[/tex], [tex]\mathbf{2x + 10y \le 200}[/tex], [tex]\mathbf{x,y \ge 0}[/tex]

Represent sofa with y and chairs with x.

The given parameters are:

Carpentry:

[tex]\mathbf{Chair =3\ hours}[/tex]

[tex]\mathbf{Sofa =2\ hours}[/tex]

[tex]\mathbf{Available = 66\ hours}[/tex]

So, we have:

[tex]\mathbf{3x + 2y \le 66}[/tex]

Finishing

[tex]\mathbf{Chair =9\ hours}[/tex]

[tex]\mathbf{Sofa =4\ hours}[/tex]

[tex]\mathbf{Available = 180\ hours}[/tex]

So, we have:

[tex]\mathbf{9x + 4y \le 180}[/tex]

Upholstery

[tex]\mathbf{Chair =2\ hours}[/tex]

[tex]\mathbf{Sofa =10\ hours}[/tex]

[tex]\mathbf{Available = 200\ hours}[/tex]

So, we have:

[tex]\mathbf{2x + 10y \le 200}[/tex]

The profit is given as: $90 per chair, and $75 per sofa.

So, the objective function is:

[tex]\mathbf{Z = 90x + 75y}[/tex]

Hence, the linear programming model is:

Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]

Subject to

[tex]\mathbf{3x + 2y \le 66}[/tex]

[tex]\mathbf{9x + 4y \le 180}[/tex]

[tex]\mathbf{2x + 10y \le 200}[/tex]

[tex]\mathbf{x,y \ge 0}[/tex]

Read more about linear programming model at:

https://brainly.com/question/13720072

How many proportional relationships are shown in the coordinate plane below? Please answer quick i will give 35 points

Answers

Answer:

its not zero i check and got in incorrect the correct answer is 1

Step-by-step explanation:

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

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

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58

Answers

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

[tex]5\frac{8}{100} = \frac{508}{100}[/tex]  508 ÷ 100 = 5.08

I hope this helps!

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP

Answers

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

Laura red 312 page book in 13 hours if she read the same number of pages each hour how many pages did she read i

Answers

Answer:

24 pg per hour

Step-by-step explanation:

Divide 312 by 13, and the result will be 24. Hope it helps!

Answer:

24

Step-by-step explanation:

The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).

Answers

Answer:

this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong

Step-by-step explanation:

help ASAP plz and Thankyou

Answers

Answer: B

Step-by-step explanation:

55 points and Brainliest!

Answers

I believe it's a 45 degree angle

Answer:

Um

Step-by-step explanation:

Approximately how many litres is 70 fluid ounces?

Use the conversion 20 fluid ounces = 1 pint and 134
pints = 1 litre

Answers

It’s 2.07 could I get a brainliest plz and thank you

the missing number in the series?
4, 18, ?, 100, 180, 294, 448
A) 48
B) 50
C) 58
D) 60

Answers

A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448

The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War

Answers

Answer:

its c

Step-by-step explanation:

trust and dont vote me out! its not me i sware its cyan he sus!

Answer:

It's C

Step-by-step explanation:

lincoln middle school has a total of $200 to spend on notebooks and tablets

Answers

Answer:

Oh um ok. Is there supposed to be like a 2nd part to this??

Step-by-step explanation:

What is the domain of the function in this table?

X | Y
1 | 2
2 | 4
3 | 3
4 | 2

CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}


PLEASE HELP URGENT

Answers

Answer: B. {1, 2, 3, 4}

Step-by-step explanation:

The domain is the set of input values (in other words, x values)

The maximum heart rate is the highest heart rate achieved during maximal exercise. In general, you get the most benefits and reduce the risks when you exercise within your target heart rate zone. Usually this is when your exercise heart rate (pulse) is about 80 percent of your maximum heart rate. The formula M = 0.8 ( 220 − A ) M = 0.8 ( 220 - A ) , gives the recommended maximum heart rate, M M , in beats per minute, for a person who is A A years of age. Determine the age of a person whose target heart rate is 128 beats per minute. The recommended maximum heart rate is 128 beats per minute for a person who is years old.

Answers

Answer:

160 years

Step-by-step explanation:

The formula for the heart rate is given by :

M=0.8 (220−A) ...(1)

M is the maximum heart rate in beats per minute and A is the age in years

Put M = 128 beats per minute in the above formula.

128=0.8(220-A)

160=220-A

A=220-160

A = 160 years

So, the age of person is 160 years if heart rate is 128 beats per munute

Answer:

B

Step-by-step explanation:

Plz give brainliest

2. How far does light travel in water in 5.0 X
102 seconds, if the speed of light in water is 3
108 m/s?

Answers

It travels 3637474848362.626 miles a second.

Can someone plz plz help me with the last 2 problems #5 and #6

Answers

i believe your answers would be

1/2c+7 and 2H-9

Question 1 Part A: How many beads did Jiao send out? *
Wooden Beads
Oak
4,525
Maple
6,950
Ash
3,720
Ebony
2,475
Bayong
1,250

Answers

Answer:

Jiao sent out 18,920 beads.

Step-by-step explanation:

All I did was add.

</3 hope this helps.

I mark as brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

:)

A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?

Answers

Answer:

The snake would equal 160cm.

Step-by-step explanation:

Correct me if im wrong plz

A stack of books is 62 inches high. How high is it in feet and inches?

Answers

Answer:

5 feet and .16667 inches

Step-by-step explanation:

if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2

Solve for a.

a+(−5)=−12

Answers

a = - 7
the equation is basically a - 5 = - 12 so u need to bring the five to the other side making it positive and add it to - 12

Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red Answer

Answers

Answer:

He has had a quarter of the red sweets (1/4)

Step-by-step explanation:

3/12 is 1/4 when simplified

Answer:

1/4 or 3/12

Step-by-step explanation:

There are 3 red sweets out of all the sweets (3/12).

A simplified version of 3/12 would be 1/4.

HELP!!!!!!!! I LOVE YOU AND ILL EVEN GIVE BRAIN

Answers

Answer It’s the last choice

a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves​

Answers

Answer:

8.49 per pair/pack of gloves

Step-by-step explanation:

i got this by taking 33.96 divided by 4 so i could find out how much for one pair

identify the first term of the algebraic expression. Indicate whether the term is a variable or a constant term.
5y + 8b

Answers

Answer:

Someone text me on sc queenalyssa_05

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Solve 27* 9

I will give 100 points!!!!!!

Answers

27 times 9 is 243 if that was your question

27* 9 = 243 there your welcome and bless you

Simplify: (8u^3−9u^2y)−(−4uy^2−8y^3)+(10u^2y+11uy^2).

Answers

Answer:

8u

3

+10u

2

y

˙

9u

2

y+11uy

2

+

˙

4uy

2

+8y

3

Answer:

[tex]8u^{3}+u^{2} y+15uy^{2}+8y^{3}[/tex]

Step-by-step explanation:

You must combine like terms:

[tex](8u^{2}-9u^{2}y)-(-4uy^{2}-8y^{3})+(10u^{2}y+11uy^{2})= \\8u^{3} -9u^{2} y+4uy^{2} +8y^{3}+10u^{2}y+11uy^{2}\\\\10u^{2}y-9u^{2} y= u^{2}y \\4uy^{2}+11uy^{2}= 15uy^{2} \\\\8u^{3} -9u^{2} y+10u^{2} y+4uy^{2} +11uy^{2} +8y^{3} =8u^{3} +u^{2} y+15uy^{2} +8y^{3}[/tex]

the range of absolute value
of sinx​

Answers

9514 1404 393

Answer:

  [0, 1]

Step-by-step explanation:

The sine function can take on any value between -1 and 1. Then the absolute value of the sine function will have a range from 0 to 1, inclusive.

In interval form, the range of sin(x) is [0, 1].

The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the numbers?

Answers

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53

find the domain of 5x-2

Answers

(negative infinity, positive infinity)
Other Questions
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