A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?

Answers

Answer 1

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

[tex]H=-4.9t^2+5t+2[/tex]

The ball will hit the ground when h=0

[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]


Related Questions

how many solutions does the equation 2 + 6 (x - 4) = 3x have?​

Answers

The answer is x= 22/3 hope it helps!

Answer:

1 solution

Step-by-step explanation:

To find this out you can just solve the equation so if you simplify you get

2+6x-24=3x

-3x=-22

x=22/3

so one solution

9 x 2 = 2 x 9

A. Associative property of x
B. Distributive property
C. X inverse property
D. Commutative property of X

Answers

Answer:

D

Step-by-step explanation:

communicative property of X

Which table does NOT show a proportional relationship?
1 point

A
B
C
D

Answers

The answer is Either ‘A’ or ‘D’
I think it’s C or A I don’t know but I say A or C

take like 10 secs. im just not smart

Answers

Answer:

A

Step-by-step explanation:

Answer:

B.

hope it helps...........

At a constant speed, a car travels 75 miles in 60 minutes. How far does the car travel in 18
minutes? If you get stuck, consider using the table.

Answers

your answer is

22.5

good luck :)

f(x) = (1)
What is the x intercept

Answers

Answer:

There is no x-intercept, only a y-intercept, which would be 1

2% of 65 answer fast please

Answers

Answer:

2% of 65

2/100*65

13/10

1 3/10

Y varies with x. When y=39, x=3. Find the value of y when x=2

Answers

Answer:

[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]

26 is the right answer.

Please Help Fast It’s Pretty Easy a sew both question please and thank you

Answers

Answer:

5x-10=60 being vertically plopposite angle .

Answer:

14; vertical

Step-by-step explanation:

since these are vertical angles, they will equal the same;

5x - 10 = 60

add 10

5x = 70

divide by 5

x = 14

plplpl solve the answer​

Answers

Given:

The expression is:

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

It can be rewritten as

[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]

[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex]        [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex]        [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]

[tex]=\dfrac{-8}{9}[/tex]        [tex][\because \sqrt[n]{x^n}=x][/tex]

The value of given expression is [tex]\dfrac{-8}{9}[/tex].

Therefore, the correct option is b.

2.
.
X + 3
X + 18
X +4
X=

Answers

x = -1,-16,-2.

TIE FIGHTERS GO ZOOOOOOOM

The price of a technology stock was $9.70 yesterday. Today, the price fell to $9.59 Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

round it to 20×10 there's you answer

Help!!!!!! Please and thanks

Answers

Answer:

HI I am back thanks for zooming in I would say your answer would be D sorry if i am wrong but that should be correct I am 98% sure. Plz let me know if it is correct or not! (Brainliest Plz)

Step-by-step explanation:

(PLz give me Brainliest)

I need help please and thank you !

Answers

Answer:

π(12x^3y^5z)^2

Step-by-step explanation:

I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment

Which expression below does not give the area of this figure?
a
b
c(a+b)
(a+b)c
ab + ac
ac + bc

Answers

Answer:

Step-by-step explanation:

Ab + ac

f f(x)=4x^(2)-9, find f(-1)


f(-1)= ?

Answers

Answer:

[tex]f(-1)=-5[/tex]

Step-by-step explanation:

Numeric Value of a Function

Given:

[tex]f(x)=4x^2-9[/tex]

It's required to find f(-1).

It can be calculated by substituting the value x=-1 in the function:

[tex]f(-1)=4(-1)^2-9[/tex]

Calculating:

[tex]f(-1)=4*1-9[/tex]

[tex]f(-1)=4-9[/tex]

[tex]\boxed{f(-1)=-5}[/tex]

2 questions,Neeed helpppp assssaaaappp!!!

Answers

Answer:

(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x²  +  1).

(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.

Step-by-step explanation:

(i) Given;

Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3

Factor, = x + 3

            x = -3

if (x + 3) is a factor of the polynomial, then p(-3) = 0

p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3

        = 81 -108 + 36 - 12 + 3

        = 0

(x + 3) is a factor of the given polynomial and the remainder is 0.

The remaining factors can be obtained as follows;

               x³  +  x² + x + 1

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

x + 3 √x⁴ + 4x³ + 4x² + 4x + 3

        - ( x⁴  + 3x³)

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

                    x³ +  4x² + 4x + 3

                   -(x³  + 3x²)

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

                            x² + 4x + 3

                          -(x²  + 3x)

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

                                     x + 3

                                   -(x + 3)

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

                                          0

 Further divide x³  +  x² + x + 1  by x + 1

                      x²  +  1

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

        x + 1 √x³  +  x² + x + 1

                 -(x³  +  x²)

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

                                   x +  1  

                                 -( x  + 1)

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

                                      0              

Thus, the factors of  x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x²  +  1)

(ii) Given;

Polynomial, p(x)= 2x⁴ - 5x² - 2

Factor, = x + 1

            x = -1

if (x + 1) is a factor of the polynomial, then p(-1) = 0

p(-1) = 2(-1)⁴  - 5(-1)² - 2

       = 2 - 5 - 2

       = -5

Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.

3-7/8

please answer :p

Answers

Answer:

2.125 is your answer!! pls give brainlist (:

Step-by-step explanation:

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x , y ) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square

Answers

Answer:

its 20x20

Step-by-step explanation:

ty for point also i did the test

Answer: I just did the test so the answer would be (20x,20y)

Step-by-step explanation: hoped this help thx for the points :D

How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively

Answers

Answer:

32 cubes

Step-by-step explanation:

I would first determine the volume in inches of the rectangular prism.

V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.

Then I would calculate the volume of the cube with 1/6 inch sides

V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.

Then I would divide the V of the large prism by the V of the small cube

(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes

Translate the given phrase to an expression.
The quotient of 15 and 2
The expression is (Do not simplify)

Answers

Answer:

15/2=7 R1

Step-by-step explanation:

Tash conducted a survey of the students in her school.
From the results, Tash calculated that 60% of the
students go to school by bus.
Lian knows that 450 students go to school by bus.
How can she use the information to find the number of
students in the school?

Answers

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

Write down the value of the 4 in 8642 in figures

Answers

I have no idea but I

Can someone substitute this? Please and thank you

Answers

Step-by-step explanation:

soln

given

y=2x+3 -----(i)

y=-x-9 ------(ii)

now, putting value of equation (i) in (ii)

y= -x-9

or, 2x+3 = -x-9

or, 2x+x = 9-3

or, 3x = 6

or, x = 6/3

or, x = 2

again,

y = 2x+3

or, y = 2×2+3

or, y = 7

therefore, value of X and Y are 2 and 7 respectively.

A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8​

Answers

Answer:

12 pairs

Step-by-step explanation:

Represent Brown with B and Black with A

So:

[tex]A + B = 20[/tex] --- Pairs sold

[tex]30B + 35A = 640[/tex] --- Amount

Required

Solve for B (the brown pairs)

Make A the subject in the first equation

[tex]A = 20 - B[/tex]

Substitute 20 - B for A in the second

[tex]30B + 35(20-B) = 640[/tex]

Open bracket

[tex]30B + 700 - 35B = 640[/tex]

Collect Like Terms

[tex]30B - 35B = 640 -700[/tex]

[tex]-5B = -60[/tex]

Divide both sides by -5

[tex]B = \frac{-60}{-5}[/tex]

[tex]B =12[/tex]

HELPPP PLEASEEEE!!!!

Answers

Answer: $6.04

Step-by-step explanation:

add 65.25 and 86.50 you get 151.75 then do 157.79-151.75 and you get 6.04


What is the y-intercept of y = -3x

Answers

Answer:

0

Step-by-step explanation:

The y-intercept of y = -3x is zero.

Answer:

0

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = -3x

Step 2: Break Function

Identify Parts

Slope m = -3

y-intercept b = 0

*We assume that if the variable isn't there, it is 0 or being multiplied by 0.

How many groups of 13 inch are in 34 inch?

Answers

Answer:

2 groups

Step-by-step explanation:

13 times 3 is 39

39 is not 34

please mark me brainliest!!!

I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?

Answers

Answer:

80 i think

Step-by-step explanation:

32.3=80

Step-by-step explanation:

Amount of money saved : spent = 2 : 3.

Since amount of money saved = £32,

Amount of money spent = £32 * (3/2) = £48.

Total amount of money = £32 + £48 = £80.

Therefore I received £80 for my birthday.

Who can answer this? .. if u dk it don’t comment thanks ♡︎ .

Answers

The answer is D.

It is the only one that has an intercept of -2 and a negative slope.
Other Questions
What'd you say about TexasAmendment Process: Two Main Steps1: ____________________ 2: RatificationMethod 1: _______________________________________________Method 2: Two-thirds of state legislatures request a national convention Empareja la descripcin con la frase correcta. Match the description with the phrase.Match Term Definitionlas diferencias A) Es una comparacin entre dos cosas o personas que son iguales.a pesar de que B) Son los aspectos que personas u objetos no tienen en comn.tanto como C) Es una frase que se usa para describir la situacin, aunque.malsimo D) Es un superlativo para decir que algo es horrible. Evaluate the expression for b=5.4b2 A dump truck bar 1/3 of a ton of rocks on the 1st beat trip when half of a ton on the 2nd trip and forfeits of a tone on the 3rd trip what was the total way of the rock. Match the action needed to increase profits with the reason a business might fail.Advertising the company to potential customers would match with_____. a) finances b) poor management c) bad location d) competition15 POINTS AND BRAINLIEST GOES TO FIRST ANSWER ;) Rewrite the sentences to make them more interesting using different sentence forms (simple, compound, complex, compound-complex.)The car trip took forever. My dad drove so slowly. Most people in Atlantic South America live in:A. large urban centers.B. indigenous tribal communities.C. government compounds.OD. small farming villages.PLS HELP ME ASAP !! 1. In your own words, what does it mean for a cell to bespecialized? Question 5 of 10When gathering information, which of the following tasks might you need toperform?O A. Apply standards, such as measures of quality, beauty, usefulness,or ethicsB. Study objects, conduct tests, research written materials, and askquestionsC. Fill out forms, follow procedures, and apply math and scienceD. Seek out ideas from others and share your own ideas Which of the following statements about AB and AC is true? A circus performer walked up and to the right for a total displacement of 10\,\text m10m10, start text, m, end text along a diagonal tightrope angled 30 \degree3030, degree above the ground.What was the vertical displacement of the circus performer in \text mmstart text, m, end text? CHARITY This year, James raised $95 for an animal shelter. This is 5times the amount he saved. The equation 5x = 95 can be used to find lastyear's fundraising amount. Find last year's fundraising amount.Please help I have know clue what to do!! kevin has a part time jobhe earns 8 an hour he wants to buy a new bike costing 176how many hours does he need to work to earn enough to but it? A circuit contains two 1.5 volt battery and a bulb with a resistance of 3 ohms. Calculate the current In the passage from The Heart Is a Lonely Hunter,which statement best describes the effect of thedifference between the reader's and Mick's points ofview? Read the information below. You just scratched a mineral sample with your fingernail. Your fingernail measures 2.5 on the Mohs scale and fluorite measures 4 on the Mohs scale. Explain why the mineral sample you have cannot be a piece of fluorite Please help me I need to write a 3 sentence Find the slope and the y-intercept of the line.y=-25Ex+6slope:.08$y-intercept: 0 WILL GIVE BRAINLY PLZ ANSWER QUESTION *CORRECTLY*Which statement is true?1.Time zone borders on land may curve to keep regions together.2.There are 12 time zones around Earth.3.Each country or nation has only one time zone.4.Time zones are exactly 15 apart around Earth. Martes es maana. Qu da fue anteayer? What is point of view as it relates to culture? A. a belief or idea that a group of people share B. a type of narrator's perspective, such as first, second, or third person C. a way of noticing others' traitsD. a feeling of self-importance