A batter hits a baseball 4 feet above the ground with an upward velocity of 59 feet per second. The function h(t) = -16t^2 + 49t + 4 gives the height h (in feet) of the baseball after t seconds. How long is the ball in the air if a player on the other team catches the ball 7 feet above the ground?

Answers

Answer 1

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd.  time=3 seconds.


Related Questions

Find the linear equation whose graph is the straight line with the given properties through ( 1,-8) and (-1,-1)

Answers

Answer: y=-7/2x-9/2

Explanation: solving for y=mx+b (linear equation)

m(slope)=y2-y1/x2-x1
(x1= 1, y1=-8),(x2=-1,y2=-1)
M=-1-(-8)/-1-1=7/-2= -7/2

To find the b(y-intercept),use one of the coordinates and plug it into y=mx+b, I will use (x=1,y=-8): -8=-7/2(1)+b

-8/1=-7/2(1)+b/1 -divide the 1 to cancel it and bring it to the other side.

-8+7/2=-7/2+7/2+b -add the 7/2 to cancel it and bring it to the other side.

-9/2=b -b is now isolated and is solved.

So, that’s how you get y=-7/2x-9/2

The equation of a line for the given coordinates is 7x+2y+9=0.

The given coordinates are (1, -8) and (-1, -1).

We need to find the linear equation whose graph is a straight line.

What is the slope of a line?

The slope of a line is defined as the change in the y coordinate with respect to the change in the x coordinate of that line. The slope of a line=m=(y2-y1)/(x2-x1).

Now, slope of the line=(-1-(-8))/(-1-2)

=7/(-2)

=-7/2

Now, put m=-7/2 and (-1, -1) in the equation y=mx+c.

So, -1=(-7/2)(-1)+c

⇒-1-7/2=c

⇒c=-9/2

Then the equation of the line=y=-7x/2-9/2

⇒2y=-7x-9

⇒7x+2y+9=0

Therefore, the equation of a line for the given coordinates is 7x+2y+9=0.

To learn more about the slope visit:

https://brainly.com/question/2491620.

#SPJ2

GIVING BRAINLIEST, PLS HELP!!!!! :((

Write a statement that correctly describes the relationship between these two sequences: 6, 7, 8, 9, 10, and 18, 21, 24, 27, 30.

Answers

Step-by-step explanation:

1 Sequence

The numbers are in a right order but starting from 6 and ending at 10....

2 sequence

Numbers are from table of 3 and starting from 3×7 and ending up at 3×10

The table represents some points on the graph of a linear function.
Х
-1
5
7
11
у
6
3
2.
o
What is the rate of change of y with respect to x for this function?
2
O
2
-2

Answers

Answer:

should i provide formula

i rlly need help with this somebody i will give brainlist

Answers

Answer:

the answer is 10

Step-by-step explanation:

I just puted value and calculated it's simple

A student earned grades of 78, 72, 74, and 88 on her four regular tests. She earned a grade of 79 on the final exam and 88 on her class projects. Her combined homework grade was 89. The four regular
tests count for 40% of the final grade, the final exam counts for 20%, the project counts for 10%, and homework counts for 30% What is her weighted mean grade? Round to one decimal place.
O A. 82.5
OB. 71.0
O C. 63.6
OD. 81.5

Answers

Answer:

A: 82.5

Step-by-step explanation:

Average score of the 4 regular tests = (78 + 72 + 74 + 88)/4 = 78

We are told;

- the regular tests account for 40% of the final grade.

- final exam counts for 20%

- project counts for 10%

- homework counts for 30%

Thus;

weighted mean grade = (40% × 78) + (20% × 79) + (10% × 88) + (30% × 89) = 82.5

The radius of a circle is 10 cm. Find its circumference in terms of pi

Answers

Answer:

20 pi is the correct answer

how do I solve the value of the n​

Answers

The angles are supplementary and form a straight line. These add to 180 degrees.
4n-2 + (3n+8) +90 = 180
7n+96=180
7n=84
N=12

Megan's morning run follows a triangular path. Two legs are equal and the third leg is 4 miles longer
han each of the other legs. If the total ride is 22 miles, what is the length of the longest leg?

Answers

Answer:56544

Step-by-step explanation:

PLS HELPPPPP I DONT UNDERSTAND THIS

Answers

Answer:

1

Step-by-step explanation:

The slope is rise over run. (rise/run)

Since the line rises 1 and goes to the right 1, the slope is 1. (1/1 = 1)

Brainliest Please. ;)

PLZ HELP ITS DUE RN BRAINIEST TO WHOEVER RIGHT!

Answers

Answer:

The zero is 5

Step-by-step explanation:

The zeroes of f are the points where the graph f crosses the x-axis, which only occurs at x = 5.

X=5 I hope that helps in time

A list is made of all possible 2-digit whole numbers that result from using only the digits 1,3,5, and 7 in both the
ones and tens place, with duplications allowed. How many whole numbers in the list are prime numbers?

A.6
B.7
C.8
D.9
E.10​

Answers

Answer:

b7 and e10

for brainly

plz help and pls dont give me no website pls

Answers

Answer:

x=7

Step-by-step explanation:

In a parallelogram, you know that parallel sides are equal in length, therefore, x+4 must equal 5x-24.  From there you solve for x.

x+4 = 5x-24

28 = 4x  (subtract x from both sides and add 24 to both sides)

7=x   (28 divided by 4 is 7).

Answer:

Here you go, please mark brainliest for my effort! Thanks!

Step-by-step explanation:

5x - 24 and x + 4 are equal in length, so set them equal to each other.

5x - 24 = x + 4

Subtract x on both sides.

4x - 24 = 4

Now, add 24 to both sides.

4x = 28

Finally, divide both sides by 4.

x = 7

So the answer is x = 7

Don't forget to mark brainliest!

What is 2 (log Subscript 3 Baseline 8 + log Subscript 3 Baseline z) minus log Subscript 3 Baseline (3 Superscript 4 Baseline minus 7 squared) written as a single logarithm?
log Subscript 3 Baseline 2 z
log Subscript 3 Baseline 2 z squared
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction

Answers

Answer:

log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction

Step-by-step explanation:

The single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]

Logarithm and indices

Given the logarithmic expression;

[tex]2(log_38+log_3z)-log_3(3^4-7^2)[/tex]

We are to write it as a single logarithm

Using the product and quotient law of logarithm;

[tex]2(log_38+log_3z)-log_3(3^4-7^2)\\=2(log_38+log_3z)-log_3(\frac{81}{49} )\\=2(log_38z)-log(\frac{81}{9})\\=log_364z^2-log(\frac{81}{9})[/tex]

Simplify the final result to have:

[tex]=log_364z^2-log(\frac{81}{9})\\=log_3(\frac{9(64z^2)}{81} )[/tex]

Hence the single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]

Learn more on logarithm here: https://brainly.com/question/25710806

I need help with these questions ‍♂️ please ?

Answers

cba

Step-by-step explanation:

first first one to see second one is b last one is a

Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could have gotten a better deal at a different store that was advertising a sale of One-third off all clothing. If the original price of Dima’s skirt was $54, how much more could she have saved at the store her friend suggested?

Answers

Answer: I think it's 1.80

Answer:

B

Step-by-step explanation:

hlppppppp plzzzzzzzzzzzzzz

Answers

Answer and Step-by-step explanation:

All we have to do is plug in -7 for h in the expression.

3 + -(-7) - 4

The negatives cancel out to become positive.

3 + 7 - 4

10 - 4

6

The answer to the expression is 6.

#teamtrees #PAW (Plant And Water)

Hi! Please explain how you got the answer, thanks! :))​

Answers

Answer:

2000

Step-by-step explanation:

1996: 30+5 5×6=30

2000: 60+10 10×6=60

Solving systems of equations using the substitution method 2x+4y=34

Answers

Answer:

the answer is x=-2y+17

Step-by-step explanation:

Answer:

Here ya go! Hope it helps.

Step-by-step explanation:

A consultant for a major computer company receives $3250 per month as a fee no matter how many hours he works. Using x to represent the number of hours the consultant works each month, write a function, f, in symbolic form to represent the total amount the consultant recieves each month.

Answers

Answer:

The function is;

f(x) = $3,250

Step-by-step explanation:

The fixed amount the consultant receives each month = $3,250

The number of hours the consultant works each month = x

Let f(x) represent the function of the total amount the consultant receives each month

Therefore;

The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250

∴ f(x) = $3,250.

The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).

Jacobo borrows 500 from Abraham and agrees to have the loan compounded
annually for 5 years with an interest rate of 2.5% How much will the total amount be that Jacob owes?

Answers

Answer: 565.70

Step-by-step explanation:

The sweatshirt is $52. What is the 9% sales tax?

Answers

The 9% sales tax would be $4.68. You would do 52 x .09 = the sale tax being 4.68

what are the factors of 6 that have a sum of 7

Answers

Answer:

[tex]factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer[/tex]

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

Find the inverse for the following function.

f(x) = 2x^2 + 20x +47

Answers

Report this clown who put the first answer he’s trying to get your ip

Determine the value of k so that the following system has an infinite number of solutions. *
10x+ky=-8
-15x+6y=12

Answers

Answer:

I don't know sorry

Step-by-step explanation:

bbc ok g

How do I make the graph or if anyone makes the graph for me WILL GET BRAINLIEST.

SYSTEMS OF EQUATIONS)

Answers

Answer:

Part A

The required inequality is;

y = 50 - 2 × x  ≥ 20

Please find attached the graph of the inequality created with Microsoft Excel

Part B

The number of weeks she can withdraw is less than or equal to 15 weeks

Step-by-step explanation:

The given parameters are;

The amount Kate has in her savings account at the beginning of the summer = $50

The least amount she wants to have in the account at the end of the summer = $20

The amount she withdraws each weak from the account = $2

Part A

Let 'x' represent the number of weeks she can withdraw money, we have;

The required inequality that gives the number of weeks she can withdraw money is given as follows

y = 50 - 2 × x

y ≥ 20

Therefore, the inequality is;

y = 50 - 2 × x  ≥ 20

The graph of the inequality created with Microsoft Excel is attached

Part B

The number of 'x' weeks she can withdraw is;

50 - 2 × x  ≥ 20

- 2 × x  ≥ 20 - 50 = -30

x ≤  -30/(-2) = 15

The number of weeks she can withdraw is x ≤ 15 weeks.

craig hiked for 7/10 mile and stopped to take pictures.Then her hiked for another 25/100 mile. How far did he hike in all

Answers

Answer:

The answer is 95/100 miles and simplified is 19/20 miles.

Step-by-step explanation:

What is the scale factor of the transformation?

Image is above!

Answers

Answer:

2x

Step-by-step explanation:

If you double all the distances of the BLACK shape, it becomes the BLUE shape.

Answer:

2

Step-by-step explanation:

Is the relationship linear, exponential, or neither ?

Answers

Answer:

Linear

Step-by-step explanation:

Answer:

Linear, there is a constant rate of change

Step-by-step explanation:

what is the slope and y-intercept? write the equation. this is finally the last problem on my homework

Answers

(y2-y1)/(x2-x1)

3-2=1

4-2=2

slope: 1/2

y-int: 1

y=1/2x+1

Answer:

Slope=1/2, y-intercept=(0,1)

Step-by-step explanation:

Slope is written in the format of Y/X. If you look at the pattern, you'll notice that every time Y goes up 1, X goes up 2.

So, 1/2.

The y-intercept is where the line crosses the y-axis and is therefore when X is equal to 0. Following the pattern, this would be when Y is equal to 1.

(0,1)

If the surface areas of two spheres are in ratio 16:9, then their volumes will be in the ratio​

Answers

Answer:

64 : 27

Step-by-step explanation:

If linear ratio is a : b , then

area ratio = a² : b²

volume ratio = a³ : b³

Given area ratio = 16 : 9 , then

linear ratio = [tex]\sqrt{16}[/tex] : [tex]\sqrt{9}[/tex] = 4 : 3

volume ratio = 4³ : 3³ = 64 : 27

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