During a high school baseball tournament, Lexile hits a pitch and the baseball stays in the air for 4.42 seconds. The function describes the height over time, where h is its height, in yards, and t is the time, in seconds, from the instant the ball is hit: h(t) = - 5t ^ 2 + 22t + .5

Answers

Answer 1

Answer:

a) The maximum height that the ball reaches is 73.1 meter

b ) The time elapsed when the ball reaches its maximum height of flight = 2.2 seconds

Step-by-step explanation:

The complete question is

During a high school baseball tournament, Lando hits a pitch and the baseball stays in the air for 4.42 seconds. The function h(t) = -5t2 + 22t + 0.5 describes the height over time, where h is its height, in meters, and t is the time, in seconds, from the instant the ball is hit. a. What is the maximum height the ball reaches? b. What will be the time elapsed when the ball reaches its maximum height of flight?

Solution:

For maximum height

[tex]\frac{dh}{dt} =0[/tex]

[tex]\frac{d(5t^2 + 22t + 0.5)}{dt}\\ 10t + 22 = 0\\t = 2.2[/tex]seconds

a) Maximum height

[tex]5 * t^2 + 22t + 0.5[/tex]

[tex]= 5 * 2.2 *2.2 + 22 * 2.2 + 0.5 \\= 73.1[/tex]

b) Time elapsed when the ball reaches maximum height is 2.2 seconds


Related Questions

What is the value of the x ? x + x + x = 56

Answers

x = 56 divided by 3 = 18.6

Hey there!

ORIGINAL EQUATION

x + x + x = 56

CONVERT/COMBINE the LIKE TERMS

1x + 1x + 1x = 56
2x + 1x = 56

NEW EQUATION

3x = 56

DIVIDE 3 to BOTH SIDES

3x/3 = 56/3


SIMPLIFY IT by canceling out 3/3 because it give you 1 & KEEP 56/3 because help solve for the x-value (it also give you the x-value result)


x = 56/3

x = 18.666667

x = 18 2/3


EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!



~Amphitrite1040:)


mr rolando sold the house and that at 10, 500,000,000.00 if he will receive 4% commansion, how much his commansion? ​

Answers

Answer:

$420,000,000

Step-by-step explanation:

Multiply 10,500,000,000 by .04.

Hope this helps!

what were the two goals of the monroe doctrine? Americans wanted to stop european-

A. globilization, free enterprize
B. intervention colonization
C.colonization, ratification​

Answers

Answer:

I believe it is C, but i may be wrong.


Type an equation for the line shown in the graph.

Answers

Answer:

X=0

y=2

therefore,

y=1x+2

2=1*0+2

2=2

what is 8 4/8 - 4 5/6?

Answers

Answer:

3.667

Step-by-step explanation:

I know math (and how to use a calculator)

The answer is going to be 3 2/3

double 2, then divide b by the result

Answers

Answer:

can you give me the rest of the problem so i can solve

Step-by-step explanation:


Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). Choose the statement that is true concerning these two values.

Answers

Answer: D

Step-by-step explanation:

Fill in the x's with -2 for the first time to get one answer then go back and fill in 4 for the second answer.

g(-2)= 10

g(4)=-8

Proving g(-2) is greater than g(4).

which of the following equations is equivalent to 100x - 90 - x + 25 = 30?

Answers

Answer:

99x-65=30

Step-by-step explanation:

answer asap ty.!

Thanks

Answers

Answer:

x=0

Step-by-step explanation:

5-9+3x = -10+6

-4+3x = -4

+4 .       +4 (Both sides)

3x = 0

/3    /3 . (divide both sides by 3)

x=0

What shape will the vertical cross-section of
a cube be?

Answers

Answer:

a triangle;

Three faces of the cube meet to form the vertex, so the cross section is a two-dimensional figure with three sides

Step-by-step explanation:

Find the geometric mean between 4 and 20.

Answers

Answer:

4[tex]\sqrt{5}[/tex]  

Step-by-step explanation:

Geometric mean is when you multiply the two numbers 4 and 20 and then take the square root of the product.

So 4 x 20 = 80, and the [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex]

However-- that's if you meant finding the geometric mean of 4 and 20 when you said "between"

Answer

4√5

Explanation

4 x 20 = 80
√80 = 4√5




change 4x - 5y = 10 into slope intercept form and graph

Answers

Answer:

Slope intercept form: y = 4/5x - 2

Step-by-step explanation:

(subtract 4x from both sides) -5y = -4x + 10

(divide everything by -5) y = 4/5x - 2

To graph, place a point at (0,-2), and then travel up 4 and over right 5 (or down 4 and to the left 5) to place the next point, then draw a line through the points

Hace 5 años la edad de un joven era 1/3 de la edad del papá y dentro

de 5 años la edad del joven será 1/2 de la edad del papá. Si x es la edad

actual del joven y si y es la edad actual del papá. ¿Cuál es la edad actual

de cada uno?
Ya está es mi última pregunta si me ayudan seria estupendo ​

Answers

Answer:

respuesta el joven tiene 15 y el padre 30

Two streets form an intersection. C and D are supplementary
angles. If the measure of C is 140° and the measure of D is
two times the value of x, what is the value of x?

Answers

Answer:

20degrees

Step-by-step explanation:

The sum of angle C and D is 180 degrees since they are supplementary

Given

m<C = 140 degrees

m<D = 2x

Taking the sum and equating to 180

140 + 2x = 180

2x = 180-140

2x = 40

x = 40/2

x = 20 degrees

Hence the value of x is 20degrees

add 1/5 add 2/7 plz help

Answers

Answer:

17/35

Step-by-step explanation:

Answer:

17/35

Step-by-step explanation:

Math-way

Fiber one bran cereal boasts that it contains 57% of the Daily Value of fiber you need. If 1 serving contains 15 gram of fiber, how much fiber do you need in one day

Answers

Answer:

26.3 grams

Step-by-step explanation:

57% of fiber is 15 grams. To find 1% you would divide 15 by 57 which is 0.2631578947. Now multiply 1% by 100 to get 100% fiber. The amount of fiber needed per day is 26.31578947 (the rounded answer is 26.3)

Write an equation in point-slope form of the line that passes through the two given
points.
(4,7) and (5, 1)

Answers

Answer:

y-7=-6(x-4)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-7)/(5-4)

m=-6/1=-6

y-y1=m(x-x1)

y-7=-6(x-4)

Jenny bought an item online for $180, and she was charged a $9 fee for shipping. What percent of the sale price was the shipping fee?

Answers

Answer:

Step-by-step explanation:

can u please help me with my english ?

The product of
two integers is – 24. The difference
between the two integers is 14. The sum of
the two integers is 10. What are the two
integers?

Answers

Answer:

a= 12

b=-2

Step-by-step explanation:

12 x -2 = -24

12 - (-2) = 14

12 + (-2) = 10

The two integers are 12 and -2.

What are simultaneous equation?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let x and y be the two integers.

So it is given that,

Product of two integers =  – 24

⇒ xy = - 24   ....(i)

The difference between the two integers =  14

⇒ x - y = 14  ...(ii)

The sum of the two integers = 10

⇒ x + y = 10     ....(iii)

Now adding equation (ii) and (iii) we get,

2x = 24

⇒ x = 12

Putting the value of x in equation (i) we get,

12y = - 24

⇒ y = - 2

So the required integers are 12 and - 2.

To learn more about simultaneous equation:

https://brainly.com/question/17726417

#SPJ2

25 points please answer all 4 problems

Answers

Answer: The answers are in order

6(n-9)=54

5x=35

3x-6

1/2(y+12)=7

Step-by-step explanation:

Solve for x.

−1.5x−3.1<5.5

Drag and drop a number or symbol into each box to correctly complete the solution.

Answers

Answer:

x <-5.73

Step-by-step explanation:

Answer:

5.733333333...

Step-by-step explanation:

The answer is positive and has a repeating 3 at the end.

What’s the value of a?

Answers

Answer:

a = 69

Step-by-step explanation:

The linear pair equals 180 degrees.

a + 90 + 21 = 180

a + 111 = 180

a = 69

nice!

Answer:

A= 69 degrees

Step-by-step explanation:

if all those angles equal a total of 180 degrees then all you need to do is add the angles your given which in this case is 21 and a 90 degree angle which would equal 111 degrees, then subtract 111 from 180 and that would be the answer to the missing angle, which is 69 degrees.

21 + 90 = 111

180- 111 = 69

What is the value of angle 2?
1//2
+
66°

Please helpp

Answers

Answer:

The value of angle 2 is 114 degrees

Step-by-step explanation:

We start with 180 degrees, since it is a Line.

To fine the other degree, subtract 66 from 180, which is 114

Angle 2 is 114 because of the theory of interior alternate angles are congruent. Angle 1 is 66 degrees because of the same reason.

Do you still need help with this?

Write a linear function for the data in each table using function notation.

Answers

Answer:

A. f(x) = 6.5xB. f(x) = 3x - 2

Step-by-step explanation:

Table A

This is proportional relationship

The function is:

f(x) = 6.5xTable B

The slope is:

(10 - 7)/(4 - 3) = 3

The y-intercept is:

10 - 4*3 = -2

The function is:

f(x) = 3x - 2

Answer:

A. f(x) = 6.5x

B. f(x) = 3x - 2

Step-by-step explanation:

(2x + 3) + (x + 1)
help​

Answers

3x+4 combine like terms I think lol

cuál es el resultado de 1/3 entre 4/7?

A._ 4/21
B._ 7/12
C._ 12/7
D._ 21/4​

Answers

Answer:

La leche que sale del huevo


4. Emily ate dinner at Geisha. Her total was $17.50. A 8% sales tax was
added to her bill. After, Emily added a 20% tip on the total after tax. What
was Emily's final total?
*

Answers

Answer: $22.68

Step-by-step explanation:

17.50 times 0.08 = 1.40

17.50 + 1.40 = 18.90

Now the tip:

18.90 times .2 = 3.78

18.90 + 3.78 = 22.68

6) A recipe serves 10 people and uses 3 cups of flour. How many cups of
flour is needed to serve 15 people? *

Answers

Answer:

4.5 cups

Step-by-step explanation:

I got the answer of 4.5 cups

The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a 35$ monthly fee, plus 3$ per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal.

Answers

The expression for the cost of the ABC Book Club is 2x + 40. The expression for the cost of the Easy Book Club is 3x + 35. To find when the total charge for both book clubs is equal, the two expressions must equal each other. (x = the number of books read)

2x + 40 = 3x + 35

Subtract 35 from both sides.

2x + 5 = 3x

Subtract 2x from both sides.

5 = x

So, the total charge for each club is equal when 5 books are read.

please help me. i am so confused please

Answers

Answer:

what is the question above what you are showing in the picture ?

Step-by-step explanation:

it will help a lot

I need to see what the question is above it
Other Questions
Find the Percent:A computer is marked up from lastyear's model by 12%. If the cost lastyear was $1150.00; What is the costof the new model? Which data set could be represented by the box plot shown below? Each of the following is a reward of entrepreneurship EXCEPT:A.shorter work dayB.bringing ideas to lifeC.higher earnings potentialD.feeling of accomplishmentPlease select the best answer from the choices providedABCD Question 10 Multiple Choice Worth 4 points)(02.05 LC)Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?The graph of y = f(x) will shift left 2 units.The graph of y = f(x) will shift right 2 units.The graph of y = f(x) will shift up 2 units.The graph of y=f(x) will shift down 2 units. Round 576.558 to the nearest tenths place Which property is used in the first step to solve this equation4(x-6)=54x-24 = 54x= 29x=29/4 force of 7 N acts on an object.The displacement is, say 8 m, inthe direction of the force(Fig. 11.3). Let us take it that theforce acts on the object throughthe displacement. What is thework done in this case? HELP ME NOW ASAPPP UnU Body paragraphComparing The Giver and The Hunger Games.must be in ceeeeeer format (claim.evidence, explanation, explanation, evidence, ex, ex, restate claim) and its comparing them being dystopiasWILL GIVE BRAINLIEST!! With just 4 weeks before this 3rd quarter ends, what are your great plans if you are one of the students that has a failing grade as of today? Give me your thoughts PLEASE ANSWER THIS!!! fill in the blank with the correct word below from the reading ______ _______ helps you track your progress once you have made a lifestyle change.A. Healthy FoodB. Regular Exercise C. Goals 4. Find the value of x. 140 150 130 to Da) 110 b) 90 O c) 130 O d) 120 -3X + 24 = 48 X= What would this equal? What is the slope of the line shown below?A. -3B.-6C.6D. 3 Why was the thirteenth Amendment significant to Georgia during Reconstruction She saw her dog was panting after its return from the dog run. When she poured fresh water into its bowl, the dog drank quickly. so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get? Translate the following sentences into Spanish using the ir + a + infinitive formation. The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?A.h(x)=x^2+2B.h(x)=0.5x^2+1.5C.h(x)=2x^2D.h(x)=x+2