Justin throw a football to his friend and the height of the football in meters above the ground after T seconds is modeled by f (t)=-4.9^2 + 30t+13 when did the football hit the ground

Answers

Answer 1

The football hits the ground at 6.53 seconds

The height function of the football is given as:

[tex]f(t) = -4.9t^2 + 30t + 13[/tex]

When the football hits the ground, f(t) = 0 i.e. the height of the football is 0.

So, we have:

[tex]-4.9t^2 + 30t + 13 = 0[/tex]

Using a calculator, we have:

[tex]t = \{-0.41, 6.53\}[/tex]

The value of time (i.e. t) cannot be negative.

So, we have:

[tex]t = 6.53[/tex]

Hence, the football hits the ground at 6.53 seconds

Read more about quadratic functions at:

https://brainly.com/question/11441586


Related Questions

What is the solution? (Look at picture)

Answers

Answer:

(1,-1)

Step-by-step explanation:

The solution is where the two graphs cross.

The two lines cross at x=1 and y = -1

(1,-1)

Suppose you travel 55 mi/h. How many hours would it take you to go 275 mi?

Answers

Answer:

5 hours

Step-by-step explanation:

275 mi/(55mi/h)=5h

or to put it simply 275/55=5

(Grade7geomtery) Can somebody plz help answer these questions correctly (only if u know how to do this) thx sm! :3

WILL MARK BRAINLIEST WHOEVER CAN ANSWER THESE FIRST !!!!:DDDD

Answers

Answer:

<1 = 47

<2 = 65

<3 =68

<4 = 68

Step-by-step explanation:

Please help I am stuck at 34 points I need atleast an 80 by today!!

Answers

Answer:

12 mi

Step-by-step explanation:


What is the measurement of this angle?

:type answer below.

Answers

Answer:

115

Step-by-step explanation:

It looks like 115 degrees

Answer:

115 degrees

Step-by-step explanation:

Which equation best represents the data in the function table

Answers

Answer:

y = x² + 1

Step-by-step explanation:

y = x² + 1

When x = -3

y = -3² + 1

y = 9 + 1 = 10

When x = -1

y = x² + 1

y = -1² + 1

y = 1 + 1 = 2

When x = 0

y = x² + 1

y = 0² + 1 = 1

When x = 2

y = x² + 1

y = 2² + 1

y = 4 + 1 = 5

All of the x and y values have been correct

Answer:

A

Step-by-step explanation:

the others will not produce the correct value for the image ((y)), if you replace the incognito x in the equation by the -3, you can see that you only obtain the result 10 for y in the first equation. you don't even need to test all the cases.

-3.-3 +1 = 10

-3.-3 + 2 = 11

-3.-3 -1 = 8

-3.-3 -3 = 6

HELP ASAP TIMED!!!!!!!!!!!!!!!

Answers

Answer:

x = 12.3

y = 15.9

Step-by-step explanation:

Apply trigonometric ratio to find x and Reference angle = 51°

Opposite side length = x

Adjacent side length = 10

Hypotensive length = y

✔️To find x, apply TOA:

Tan 51° = Opp/Adj

Tan 51° = x/10

x = Tan 51° × 10

x = 12.3 (nearest tenth)

✔️To find y, apply CAH:

Cos 51° = Adj/Hyp

Cos 51° = 10/y

y × Cos 51° = 10

Divide both sides by Cos 51

y = 10/Cos 51

y = 15.9 (nearest tenth)

In a normal distribution, 99.7% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
B. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations

Answers

Answer: Three standard deviation

Step-by-step explanation:

In a normal distribution, 99.7% of the values falls within three standard deviation from the mean.

What is empirical rule?

Empirical rule states that for a normal distribution, 68% of the values falls within one standard deviation from the mean, 95% of the values falls within two standard deviation from the mean and 99.7% of the values falls within three standard deviation from the mean.

Hence:

In a normal distribution, 99.7% of the values falls within three standard deviation from the mean.

Find out more on empirical rule at: https://brainly.com/question/10093236

The function f(x) = -5x² + 20x + 55 models the height of a ball x seconds after it is thrown into the air. What is the total time that the ball is in the air?

Answers

Answer:

The ball is in the air for about 5.873 seconds.

Step-by-step explanation:

The function:

[tex]f(x)=-5x^2+20x+55[/tex]

Models the height of a ball x seconds after it is thrown in the air.

And we want to find the total time the ball is in the air.

So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:

[tex]0=-5x^2+20x+55[/tex]

We will solve for x. Dividing both sides by -5 yields:

[tex]0=x^2-4x-11[/tex]

The equation is unfactorable, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -11. So:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]

Approximate:

[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]

Since time cannot be negative, our only solution is the first choice.

So, the ball is in the air for about 5.873 seconds.

Which are equivalent expressions?
Check all that are true.

2a · 2b = 2ab

6a = 6 · a

5a = 5 + a

3ab = 3c

2a · b = 2ab

Answers

Answer:

6a=6.a I think is true cause it's like the same thing

solve for the length of KM. ​

Answers

Answer:

KM = 29

Step-by-step explanation:

Use Intersecting chords theorem and find x:

JU * LU = MU * KU10*2x = 9(2x + 2)20x = 18x + 182x = 18x = 9

Find KM:

KM = 2*9 + 2 + 9 = 29

Step-by-step explanation:

➡JU×LU=MU×KU

➡10×2x=9(2x+2)

➡20x=18x+18

➡20x-18x=18

➡2x=18

➡x=18/2

➡x=9

KM=KU+UM

➡KM=9+2(9)+2

➡KM=9+18+2

➡KM=29

Find HE



A. 10
B. 15
C. 20
D. 30


Help now please

Answers

Answer:

D

Step-by-step explanation:

You can't be certain unless this figure is a square or a rectangle. The question should state what it is.

You are asked for HF in the question. I think you are given JG. Diagonals of a square or rectangle are equal and bisect each other.

HJ = GJ                 From the above statement.

2HJ = HF              HF is bisected.

2*15 = 30

HF = 30

2 elephants and 15 tigers plus 4 elephants equal?

Answers

Answer:

6 elephants + 15 tigers

Step-by-step explanation:

(Im assuming that the animals are meant to be variables)

X = elephants, y = tigers

2x + 15y + 4x

Combine like terms: 2x + 4x +15y

Simplify: 6x + 15y

The scatter plot shows the relationship between annual salary and years of experience was
the scatter plot?
A)
1 to 15 years of experience
B)
8 to 12 years of experience
a
$10,000 to $90,000 annual salary
D)
$40,000 to $60,000 annual salary

Answers

Answer:

B) 8 to 12 years of experience. Enjoy the answer

Step-by-step explanation:

Answer:

$40,000 to $60,000 annual salary

Step-by-step explanation:

A cluster is formed when several data points lie in a small interval. The range of the cluster is the set of y-coordinates.

Find the area of the rhombus . Each indicated distance is half the length of its respective diagonal.
12ft
5ft

Answers

Given:

The length of diagonals of a rhombus are 12 ft and 5 ft.

To find:

The area of the rhombus

Solution:

Area of a rhombus is:

[tex]Area=\dfrac{d_1d_2}{2}[/tex]

Where, [tex]d_1,d_2[/tex] are two diagonals of the rhombus.

It is given that the length of diagonals of the rhombus are 12 ft and 5 ft.

Putting [tex]d_1=12,d_2=5[/tex], we get

[tex]Area=\dfrac{12\times 5}{2}[/tex]

[tex]Area=\dfrac{60}{2}[/tex]

[tex]Area=30[/tex]

Therefore, the area of the rhombus is 30 square ft.

looooooooooooooooooooooooool

Answers

Answer:

D.5/36

Step-by-step explanation:

There are 5 ways;

1 and 5

2 and 4

3 and 3

4 and 2

5 and 1

Do not give me any links or files.
Find the surface area of a sphere with radius 9 using the formula SA=4nr2
Leave answer in terms of n
A. 20 n units2
B. 25 n units2
C. 100 n units2

Answers

Answer:

972 u³

Step-by-step explanation:

The radius is 9 . We can use formula ,

⇒ V = 4/3 π r³

⇒ V = 4/3 × π × 9³

⇒ V = 4 × π × 81 × 3

⇒ V = 972 unit³

What is 2/5% as a fraction?

Answers

if it’s a fraction and want it simplified it’s 1/500

In his free time, Gary spends 7 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
A.
11%
B.
3%
C.
43%
D.
30%

Answers

Answer:

D. 30%?

I'm not 100% sure but I think its D. Sorry if it's wrong.

Miss Solan is buying doughnuts and coffee for her classes. The total came out to $32.12. If the coffee costs $5.96 and each doughnut is $1.09 ,how many doughnuts did she buy?​

Answers

Answer:

24

Step-by-step explanation:

First, start off by subtracting the cost of the coffee ($5.96) from the total cost of $32.12. This would give you $26.16. From here, if you multiply 24 by the cost of each doughnut  ($1.09) you would get $26.16 which is the total amount of money that was spent on doughnuts. Miss Solan bought 24 doughnuts.

Maureen worked 28 hours last week. Her hourly rate is $7.12. What did she earn last week? (do not include dollar sign or comma in answer)

Answers

Answer:

199.36

Step-by-step explanation

Take hourly wage and multiply it by the total number of hours worked

28*7.12=199.36

Answer:

199.36

Step-by-step explanation:

Just multiply.

Can I have brainliest?

for brainiest:):):):):):):):):)

Answers

Answer:

1=80%

2=44%

3=11%

4=15

5=30%

6=21%

7=2%

8=9%

Step-by-step explanation:

Hopefully they are all correct but I tried my best

Could someone help me, please?

Answers

Answer:

33°

Step-by-step explanation:

<ACD =90-33 =57°

<DCB=<ACB - <ACD

=90° -57 =33°

In triangle ACD the only angle that has not been found is <ACD so you find it by adding 90+33 and subtracting from 180° to get 57°. <ACB =90° and <ACD = 57° ,the angle in question is<DCB which is part of< ACB. So to get <DCB you do 90°-57°=33°.

B = 180 - 90 - 33 = 57°

C in DCB tringle = 180 - 90 - 57 = 33°

So C in DCB triangle = 33°

I REALLY NEED HELP PLEASE

Answers

The answer is 576. The polygon can be changed to be a huge square, so all you have to do is multiply the width with the length

(x​²​y−3y²+5xy​²​​ )−(−x​²y+3xy​²​​ −3y​² )

Answers

Answer:

=2xy²+2x²y

Step-by-step explanation:

Delete the parenthesis of both operations.

= x²y - 3y² + 5xy² + x²y - 3xy² - 3y²

Then you have to make the simplification

= 2xy²+2x²y

Consider the following graph, which details the population of a city over time. A line graph titled Population (thousands) has year on the x-axis and number on the y-axis. The points are connected by a line that gradually increases. What aspect of the graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the sharp differences between individual data points b. the disjoint nature of the data collected c. the strong distinction between each year’s data d. the extended, continual growth of the population

Answers

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2020/21

Which two of the following numbers are rational?

​1/3
.10


√2

Answers

Answer:

1/3, 0.10

Step-by-step explanation:

Rational numbers can be expressed as a fraction of two integers.

1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer

0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.

.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational

√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.

Someone help and PLZ make sure it’s RIGHT :)

Answers

Answer:

The Answer's no i believe

Answer:

I think yes

Step-by-step explanation:

If im wrong i am very sorry!

                                                 

!!HELP ME PLEASE I CANT MISS ANYMORE!!
Which graph shows an even function?
*click the image*

Answers

The graph that shows an even function is the fourth image.

What is an Even Function?

This refers to the type of function where f(x)=f(−x) has an unchanged value even if the sign of the independent variable was in reciprocals.

Hence, we can see that from the given images of graphs, we can see that the other options do not have a symmetrical axis with respect to the y-axis, but option D has symmetry with the y-axis.

Read more about even functions here:

https://brainly.com/question/3964641

#SPJ2

The factor by grouping method found the GCF's of the original polynomial to be "5x" and "+6."

When you factor those out, you have this remaining:

5x(x + 3) + 6(x + 3).

What is the final answer?

Group of answer choices

(x + 3)(30x)

(x + 3)(5x + 6)

(x + 3)(11x)

Prime

Answers

Answer:

(5x + 6) (x + 3)

hope it helps

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