At the Atlanta United game, a ball flew into the stands. A fan launches the ball at 19.6 feet per second (ft/s) from a 60 ft tall bleacher. The equation for the soccer ball's height, s, at time, t, seconds after the launch is s(t) = −4.9t2 + 19.6t +60. When does the ball hit the ground?

Answers

Answer 1

Answer:

6.03s

Step-by-step explanation:

Given the equation for the soccer ball's height, s, at time, t, seconds after the launch expressed as

s(t) = −4.9t2 + 19.6t +60

The ball hits the ground when s(t) = 0

Substitute s(t) = 0 into the expression

0= −4.9t2 + 19.6t +60

Multiply through by -10

0 = 49t²-196t-600

49t²-196t-600 = 0

Factorize

t = 196±√196²+4(600)(49)/2(49)

t = 196±√38416+117600/98

t = 196±√156016/98

t =196±394.99/98

t = 196+394.99/98

t = 590.99/98

t = 6.03secs

Hence the ball bit the ground after 6.03seconds later


Related Questions

What is the volume of the following rectangular prism?

Answers

Answer:

1/2 * 7/4 = 7/8

Thank you and please rate me as brainliest as it will help me to level up

Match the graph shown with the following equation
Answer a and b please

Answers

Answer:

a) D b)B

Step-by-step explanation:

a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right

b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.

3(2) = 2(6) - 1

6 = 11 (not equal)

3(1) = 2(2) - 1

3 = 3 (equal) this is the answer

of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here

Topic: Linear Graphs and its equations

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

The image of the point (4. 9) under a translation is (9. 13). Find the coordinates
of the image of the point ( 5. 2) ander the same translation,

Answers

Answer:

The coordinates of the image are (10,6)

Step-by-step explanation:

Translation

A point located at (x,y), translated by (a,b) maps to the point (x+a,y+b).

If we know the location of the point (x,y) and the location of its image (x',y'), we can know the values of (a,b) by subtracting:

(a,b) = (x',y') - (x,y)

We know the coordinates of the point (4,9) and the coordinates of its image (9,13). Calculate the translation:

(a,b) = (9,13) - (4,9) = (5,4)

If the point (5,2) is translated under the same conditions, then it will map to the point (5,2) + (5,4) = (10,6).

The coordinates of the image are (10,6)

help im being timed what is the area of the rectangle?!

Answers

Answer:

30

Step-by-step explanation:

Hope this helps.

...... help lots of points available (plz answer it)

Answers

The correct option is answer C :)

does 2, 2, √4 make a right triangle

Answers

Answer:

No it can'tright angle triangle

Step-by-step explanation:

2, 2, √4 can't make a right triangle

By Pythagoras theorem the square of two sides equal to the third side of the triangle.

2^2+2^2=(√4)^2

4+4=4

8 is not equal to 4 so it not make right angle triangle.

When
4a- a x 3a + 7a
is simplified it is equivalent to?​

Answers

Answer:

-3a^2+11a

Step-by-step explanation:

Answer:

4a-a×3a+7a

or, 3a×3a+ 7a

or,9a+7a

or,16a

:. a =16

Directions: Select the appropriate comparing symbol from the dropdown list below to evaluate each pair of numbers.
Problem .998 _____ .9899 *

Answers

Answer:

.998 is greater than .9899

Answer: .998 > .9899
Explanation: .998 is greater than .9899

Find the total surface area of this cuboid.
5 cm
2.3 cm
7.5 cm
If anyone gets it right pls double check how you did it

Answers

I think the correct answer is 2.3

86.25

Step-by-step explanation:

5×2.3×7.5= your answer

Find the y-intercept of the graph of the linear equation. 3/4 x + y = 10

Answers

Answer:

10

Step-by-step explanation:

slope intercept form is y=mx+b

in this case b is 10

y=-3/4x+10

if you multiply 5 and then blank and it equals 565 what the missing number?

Answers

it would be 113 because 5x113 would equal 565

Proving the Parallelogram Side Theorem

Given: ABCD is a parallelogram.
Prove: AB=CD and BC=DA
Angles Segments Triangles Statements Reasons ZBAC ZBCA DAC ZDCA B с Statements Reasons A Assemble the proof by dragging tiles to the Statements and Reasons columns. ​

Answers

Answer:

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.    

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC  and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA =   (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

Step-by-step explanation:

The solution is, ABCD is a parallelogram.

What is parallelogram?

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.    

here, we have,

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC  and BC are the diagonals of the quadrilateral which bisect each other.

The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA =   (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

To learn more on area of parallelogram click:

brainly.com/question/19187448

#SPJ7

I NEEDA KNOW IF IM RIGHT , IDK HELP

Answers

Answer:

CD and DE are perpendicular because their slopes are -1/3 and 3

Step-by-step explanation:

Perpendicular lines will always have the opposite reciprocal.

1/2(x+2)=5(x+2) solve the following completely

Answers

Answer:

X is equalled to '' - 2''

Step-by-step explanation:

If you need an explanation, leave a comment ;) As my hand writing is very messy. I'll write it here if you want.

Cheers! :)

What is the absolute value of −3.582?

Answers

Answer:

Its 3.582

Step-by-step explanation:

The absolute value is the numbers distance from zero, in other words just the positive version of it :)

(brainliest?)

What is the correct set.
470
с
b
O a=47, b=60, c=60
O a=180,b=47. c=180
O a=47, b=133, c=47
O a=133, b=47. c=133

Answers

I believe it is a :)

In a 650g bag of mixed dried fruits, the ratio of mangos to apples to pears is 12:8:6 by mass. Determine the masses of the mangos, apples, and pears in the bag.

Answers

Answer:

mass of mangos = 300g

mass of apples = 200g

mass of pears = 150g

Step-by-step explanation:

lets first reduce the ratio

12:8:6

is the same as

6:4:3

this means the the denominator of our fractions will be 6 + 4 + 3 = 13

hence

mangos = 6/13 of 650g

6/13 * 650 = 300

apples = 4/13 of 650g

4/13 * 650 = 200

pears = 3/13 of 650g

3/13 * 650 = 150

Write the following fractions in order of size
1/3
3/4
1/4
7/12
1/2
Start with the smallest fraction.​

Answers

Ans wer 7/12 3/4 1/3 1/2

Step-by-step explanation:

I'm stuck on this one. I'm sorry of you know everything but there are other people who can't comprehend some problems without being their to actually see and experience it with a teacher. Just help me with this one - ​

Answers

Answer:

Expand the brackets, and simplify.

(4t - 8/5)-(3-4/3t) = (4t +4/3t) + ( -8/5 - 3) = 5 1/3t - 23/5 = 16/3t - 23/5

5(2t + 1) + (-7t + 28) = 10t + 5 - 7t + 28 = 3t + 33

(-9/2t + 3) + (7/4t + 33) = (-9/2t + 7/4t) + (3 + 33) = -11/4t + 36

3(3t - 4) - (2t + 10) = 9t - 12 - 2t - 10 = 7t - 22


SUBSTITUTING INGREDIENTS

1. Your soup recipe calls for tdry mustard What can you substitute?
2. Your chocolate cake recipe calls for 2 ozunsweetened baking chocolate substitute ?What can you
3. Your muffin recipe calls for 2 c. self-rising flour. What can you substitute 3. Your meat sauce recipe calls for 2 T. fresh, chopped basil. What can you substitute?
4. Your cake recipe calls for 2 c. cake flour . What can you substitute ?

Answers

Answer:

1.      1 tablespoon Dijon mustard

2.     Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening

3.     2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt

3.      One teaspoon of dried basil leaves

4.      Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch

Step-by-step explanation:

CAn I have brainliest? TYSMMMMMMMMMM

A news service conducted a survey of 1026 adults ages 18 years or older in a certain​ country, August 31minus−September ​2, 2015. The respondents were​ asked, "Of every tax dollar that goes to the federal​ government, how many cents of each dollar would you say are​ wasted?" Of the 1026 individuals​ surveyed, 36​% indicated that 51 cents or more is wasted. The news service reported that 3636​% of all adults in the country 18 years or older believe the federal government wastes at least 51 cents of each dollar​ spent, with a margin of error of 55​% and a 99​% level of confidence. Complete parts ​(a) through​ (e) below. What is the research​objective?
A. To determine the number of adults in the country paying their taxes to the federal government
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar
C. To determine the number of adults in the country
D. To determine the number of adults in the country who believe the federal government wastes 51 cents or more of every dollar

Answers

Answer:

B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.

Step-by-step explanation:

Given that:

sample size = 1026

sample proportion = 0.36

Margin of error = 55% = 0.55

Confidence interval level = 99%

The purpose of this question is to determine the research objective:

The research objectives indicate the intention of the study, the objectives,\ or the main idea. This main idea arises from a need (the research problem) and refined into specific questions (i.e. the research questions). From, the given information, the research objective is to determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.

Explain the Error

Find the error in the solution, and then solve it correctly.

7x + 21 + 6x = 4

7x + 21 = -2

7x = -23

-23

7

(select) was subtracted from the left side, but (select) was subtracted from the right side. The

Subtraction Property of Equality states that you can subtract the same number from each side and the

equation will remain true. But 6x and 6 are not the same number (unless x is (select)).

X =

Answers

Answer:

Step-by-step explanation:

7x+21+6x=4 combine terms

13x+21=4  subtract 21 from both sides

13x= -17 divide by 13

x= -17/13

9-2*x=35
A. -13
B. -22
C. 48

Answers

Answer:

x= -13 (a)

Step-by-step explanation:

-2x=35-9

-2x=26

x=-13

hope this helps x.

Answer:

-13

Step-by-step explanation:

9-2/x=35

9-2/x=35

-2/x=35-9

-2/x=26

-2=26x

26x=-2

x=-1/13

GEOMETRY QUESTION, HELP PLEASEEE.

Answers

Answer:

The pre-image C is (2, 5)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° clockwise, then its image is (y, -x)If the point (x, y) rotated about the origin by angle 180° clockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° clockwise, then its image is (-y, x)

∵ Point C was rotated 270° clockwise around the origin

C' = (-5, 2)

→ By using the 3rd rule above

∵ The image of the point (x, y) is (-y, x)

∴ (-y, x) = (-5, 2)

→ That means -y = -5 and x = 2

x = 2

∴ -y = -5

→ Divide both sides by -1

y = 5

The pre-image C = (2, 5)


a) Match the graph shown with one of the following equations.
b) Which one of the following points lies on the line 3y = 2x - 1?

Answers

The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2. The point (2, 1) lies on th line 3y = 2x - 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2

Given the equation:

3y = 2x - 1

When x = 2:

3y = 2(2) - 1

y = 1

The point (2, 1) lies on th line 3y = 2x - 1

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Geoffrey friend baked a cream pie yesterday. Geoffrey ate 6.3 slices yesterday and 1.3 slices today. How many slices has Geoffrey eaten so far?

Answers

Answer:

7.6

Step-by-step explanation:

1.3 + 6.3 = 7.6

(Will mark brainliest and give $5 Starbucks digital card Include SC!!!) For which set of triangles can you immediately use the AAS congruence criteria to prove them congruent?(1 point)
1. triangles STU and VWX, where ∠T≅∠W, ∠U≅∠X, and SU≅VX

2. triangles GHI and JKL, where ∠G≅∠J, ∠H≅∠K, and GH≅JK

3. triangles MNO and PQR, where ∠N≅∠Q, MN≅PQ, and NO≅QR

Answers

I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.

hii guys happy chota dipawali​

Answers

Answer:

yay thats so coolllllllll

Hiiiiiii :) how are you all?

What’s the answer to this? Thanks!

Answers

Answer:

D

Step-by-step explanation:

I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952

Sorry if this isnt enough, but i am sure.

Answer:

D.  11 < x < 19.

Step-by-step explanation:

The third side x is between 11 and 19 cm.

Consider sides AB (length 4) and BC (length 15) of the triangle.

Consider the angle between AB and BC is slightly less than 180 degrees.  To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.

Consider the angle between AB and BC is slightly more than 0 degrees.  To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.

Answer correctly please !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!

Answers

3x - 20 + 3x + 5 = 111

Combine like terms
6x - 15 = 111

Add 15 to each side.

Evaluate
6x = 126
x = 21

Plug x back into the equation for angle EFG.
EFG = 3x -20
3(21) - 20
EFG = 43 degrees

Answer:

[tex] m\angle EFG =43\degree[/tex]

Step-by-step explanation:

[tex] m\angle EFG +m\angle GFH = m\angle EFH\\\\

(3x-20)\degree + (3x+5)\degree =111\degree \\\\

(3x-20+3x +5)\degree =111\degree \\\\

(6x-15)\degree =111\degree \\\\

(6x-15) =111 \\\\

6x = 111 + 15\\\\

6x = 126\\\\

x = \frac{126}{6}\\\\

x = 21\\\\

m\angle EFG = (3x-20)\degree\\\\

m\angle EFG = (3\times 21-20)\degree\\\\

m\angle EFG = (63-20)\degree\\\\

m\angle EFG =43\degree\\[/tex]

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