A golf ball was hit with an initial velocity of 12 meters per second off the ground. The height of the ball after x seconds is modeled by the equation h(x)=-4.8x(x-2.5)

Answers

Answer 1

The ball hits the ground at 0 seconds or 2.5 seconds.

h represents the height of the golf ball after x seconds. The height is given by:

h(x)=-4.8x(x-2.5)

h(x) = -4.8x² + 12x

The time taken for the ball to reach the ground is at h(x) = 0, hence:

0 = -4.8x² + 12x

4.8x² - 12x = 0

x(4.8x - 12) = 0

hence x = 0; or 4.8x - 12 = 0

x = 0; or x = 2.5

Therefore the ball hits the ground at 0 seconds or 2.5 seconds.

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Related Questions

Slope 5, passing through (-4,1)

Answers

Answer:

y=5x+21

Step-by-step explanation:

right now we know y=5x+b, so all we need is b.

graphing it on paper starting at (-4,1), you can go up 5, right 1 because your slope is 5.

you'll get (-4,1) (-3,6) (-2,11) (-1,16) (0,21)

Once you reach x=0, your intecept is 21, completing the slope intercept form, making it y=5x+21.

A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials.​

Answers

Answer:

5 : 1 or 10 : 2

Step-by-step explanation:

you recieve a pay raise of 5% then recieve a pay cut of 5%. after the two changes in pay your salary is unchanged

Answers

Answer:

true

Step-by-step explanation:

False, receive a pay raise of 5% then receive a pay cut of 5%. after the two changes in pay, your salary is changed.

Given that,
To justify the given statement is false or true.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
let the salary be x,
Salary after 5% raise = 1.05x
Salary after cut of 5% = [1 - 0.05] [1.05x]
Salary after a cut of 5% = 0.9975x
So the salary becomes 99.75% of the original salary x.

Thus, the given statement is false, receive a pay raise of 5% then receive a pay cut of 5%. after the two changes in pay, your salary is changed.

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triangular field having the length of sides are 42m, 34m and 20m respectively. find the area of the field (need this answ with full explanation) ​

Answers

Answer:

[tex]A = 336[/tex] [tex]m^{2}[/tex]

Step-by-step explanation:

Using the formulas

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]s=\frac{a+b+c}{2}[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \sqrt{-a^{4}+2(ab)^{2} +2(ac)^{2} -b^{4} +2(bc)^{2}-c^{4} }[/tex]

[tex]=\frac{1}{4} *\sqrt{-42^{4} +2*(42*34)^{2}+2*(42*20)^{2} -34^{4} +2*(34*20)^{2} -20^{4} }[/tex]

[tex]=336m^{2}[/tex]

Answer:

✌ just because that what the answer is I just know it cuz im right

According to the following equation, what happened to the carbon and oxygen?



they combined chemically to form a new compound



they combined physically to form a new element


they combined physically to form a new mixture



they combined chemically to form carbon and oxygen

Answers

Answer:

b

Step-by-step explanation:

please help me, what is this

Answers

Answer:

Proof:

In ΔCDB

∵ The sum of all angles of triangle = 180°

∴ m∠B + m∠C + m∠D = 180°

R3. Their sum = 180 (They form straight angle)

S4. ∠B + ∠A = 180°

R5. Triangle angle sum theorem (Sum of all angles of triangle = 180°)

Need help with this ‘

Answers

(-infinity , -8) and (0, infinity)

B is the midpoint of AC. AB = 5x-7, BC = 3x - 5. Find the value of x.

А

B

C

Answers

Answer:

the value of x is 1......

as we know B is the midpoint....

then,

5x-7=3x-5

5x-3x=-5+7

2x=2

x=2/2

x=1

Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (6, 2), parallel to y = -}x+1

Answers

So, using what I’m being given:

The slope of your answer will be whatever number is supposed to be in front of the x (assuming you hit the close brace on accident the same time you hit the minus sign, I’m gonna assume you meant to put -x+1) making the slope of your answer -1.

So you have y=-x+b

To find b, plug in (6,2)

2 = -(6) + b
8 = b

So, your answer would be

y = -x + 8

Otherwise, whatever is suppose be in front of the x,

y = -mx + (2+6m)

Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units.

Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A F, B D, and C E. The length of line segment A G is 5 x + 4 and the length of line segment G F is 3 x + 1.

What is A F?

11 units
15 units
43 units
51 units

Answers

Based on the given diagram, the length of FA is 51 units

Find the diagram attached. From the diagram;

AG = 2GF

Given that:

AG = 5x + 4

GF = 3x - 1

Substitute the given parameters into the formula;

5x + 4 = 2(3x - 1)

5x + 4 = 6x - 2

5x - 6x = -2 - 4

-x = -6

x = 6

Get the FA = 5x + 4 + 3x - 1

Substitute the value of x into the expression:

FA = 8x + 3

FA = 8(6) + 3

FA = 48 + 3

FA = 51 units

Hence the length of FA is 51 units

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Answer:

51 units

Step-by-step explanation: took the test on ed and got it right

need a well explained ans ...
● no spams needed

Answers

5. We need to subtract 20% from the selling price of 18 000 as that will give his cost price

20/100 X 18 000 = 3600

18 000 - 3600

= 14 400.



7) 20 527,5 Rs

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Question : 1

Cost price of the T.V. is :

[tex]₹ \: 15000[/tex]Question : 2

The scooter cost him :

[tex]₹ \: 21000[/tex]

The solution is in attachment ~

Which of the following are solutions to the equation below?
Check all that apply.
x2 + 6x + 9 = 20
A. x= 13 + 20
B. X = -2.75 +3
C. X = 2.5+ 3
D. X = -1/5 + 20
E. X = 2.5 - 3
F. x = -24/5-3

Answers

A D and b.............................................

Select all the statements that best describe the table below.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct statements are :

The rate of change is not constant

The relationship is non linear

Independent variable is Age

Dependent variable is selling price

It is a negative relationship

G.
G
7 cm
8 cm

-
Find volume

Answers

Step-by-step explanation:

The volume = [tex](\frac{22}{7} )(7^{2} )(8)[/tex]

= 1232

please give me a brainliest answer

1232 should be your answer

please hehlp!!!!!!!!!!!!!!!!!!!!!
1. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE
a=5.4,b=9.2

2.Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
b=7.7 ,c=15.3

3. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *

a=4,c=7.2

4. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
a=6.5, b=14.7

5. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *

b=8.2 , c=15.6

Answers

Answer:

I think its number 4

Step-by-step explanation:

but im not sure

Step-by-step explanation:

here is your answer hope you will enjoy

please mark me as a brainlist

thank you

How do i solve 2x=-3
i need answer ASAP​

Answers

Answer:

[tex]x = \frac{-3}{2} \\or \\x = -\frac{3}{2}\\or\\-1.5[/tex]

Step-by-step explanation:

2x = -3

divide 2 from both sides

[tex]x = \frac{-3}{2} \\\\or \\x = -\frac{3}{2}[/tex]

Answer:

x=-1.5

Step-by-step explanation:

1. Divide on both sides to get the x alone; -3 divided by 2 is -.15 or -3/2

What is 268 divided by 6 with a remainder

Answers

Answer:

264 with a remainder of 4

Step-by-step explanation:

The solution is: 44 is 268 divided by 6 with a remainder 4.

Here, we have,

given that,

268 divided by 6

Given the following mathematical expression;

268 /  6

We would apply the law of division for fractions.

268 /  6

= 268 ÷ 6

= 44 + 4

the remainder is 4

Hence, The solution is: 44 is 268 divided by 6 with a remainder 4.

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Determine the value of the expression 2(x - 3) when x = 2.

Answers

Answer:

-2

Step-by-step explanation:

2(x-3), x=2

Since we know what x equals, plug it into the equation

2(2-3)

2(-1)

-2

Answer:

2(2-3)

4-3

1

Step-by-step explanation:

[tex]2(2 - 3) \\ 4 - 3 \\ 1[/tex]

From the graph, write the linear equation in slope-intercept form

Answers

Answer:

y= [tex]\frac{2}{5}[/tex](x)+2

Step-by-step explanation:

First take two points from the line (x-int (-5,0) and y-int (0,2)). Once you get that you want to find the slope using the formula [tex]\frac{Y_{2} -Y_{1} }{X_{2}- x_{1} }[/tex]. Substitute the values and find the slope. Once you find the slope (m) to be [tex]\frac{2}{5}[/tex], take any of the two points and apply it to the slope intercept formula (y=mx+b) to find b. I took the point (0,2) and applied it to the formula. It should look like 2= [tex]\frac{2}{5}[/tex](0)+b. Solve for b by multiplying 2/5 by zero and your left with 2=b. Plugin the missing varibles for the equation and it should come out to be y= [tex]\frac{2}{5}[/tex](x)+2.




please!!!


need an answer asap!





will give brainliest


Answers

The correct opinion is C

PLEASE HELP DUE IN 10 MINUTES NOBODY WILL HELP IM DESPERATE SO I WILL GIVE BRAINLIEST 5 STARS AND A THANKS JUST QUESTION 2 PLEASE :C IM REALLY SORRY THERE ARE NOT A LOT OF POINTS

Answers

Answer:

(6,16)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x=6, y=16

Solution is (3,10).

Sorry if I'm late

x ft
x ft
Bedroom
5 ft
Closet
5 ft
6 ft
Bathroom

Answers

Answer:

bedroom is 12ft which is equal to 6ft on left of bathroom if we add 6 +6=12 because it is rectangle and bathroom is square and square have 4 equal sides so both sides are 12ft

Given that f ( x ) = 3 x − 7 and g ( x ) = 3 x + 9 , evaluate f ( g ( 2 ) )

Answers

Answer:

38

Step-by-step explanation:

f ( x ) = 3 x − 7

g ( x ) = 3 x + 9

f(g(2))

First find g(2)

g(2) = 3(2)+9 = 6+9 = 15

Then find f(15)

f(15) = 3*15 -7 = 45 -7 =38

Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older
than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each
daughter?

Answers

Answer:

Jeri is 13, and thus Theresa is 9 and Laura is 16.

Step-by-step explanation:

Let's start by declaring variables

D - dad's age

L - laura's age

J - jeri's age

T - theresa's age

The first statement tells us that D = L + J + T

Jeri being 4 years older than Theresa gives us

J = T + 4

Jeri being 3 years younger than Laura gives us

 

J = L - 3

So notice that the common variable in these two equations is J. So if we can represent every girls age in terms of Jeri's, we will be down to one variable. So

T = J - 4

L = J + 3

Now, we can rewrite the original equation using only J's

38 = (J + 3) + J + (J - 4)

38 = 3J - 1

39 = 3J

13 = J

So Jeri is 13, and thus Theresa is 9 and Laura is 16.

Someone please help it’s due soon..

Wilde River Highschool and Oakview Mills High Schol played each other in a football game for the country Championship. Going into the 4th quarter, the teams were tied 21-21. Based on the following statistics in the 4th quarter, make an argument for which team you predict to win. Be sure to include mathematical reasoning in your argument.

Gains- Closer to scoring
Loses- Farther from scoring

SOMEONE PLEASE HELPPOOO

Answers

Answer: Oakview Mills will win

Step-by-step explanation:

There are 5 chaperones for every 14 kids on a field trip. If there are 152 people on the trip, how many of them are adults?

Answers

Answer:

there are 40 chaperones and 112 kids.

Step-by-step explanation:

5 chaps. plus 14 kids -- 19 people

152 people divided by 19 -- 8

chaperones = 5 x 8 kids = 14 x 8

Help me Plz :))
What are the dimensions of AB?

Answers

Answer:

c 2*3

Step-by-step explanation:

I think its correct

hedllloopp mee and u get brainlist!!!

Answers

Answer:

15 cm (make sure to not put value with answer (cm))

Step-by-step explanation:

9x9 = 81

12x12 = 144

81+144 = 225

[tex]\sqrt{225}[/tex] = 15

Answer:

15

Step-by-step explanation:

9^2 + 12^2 = C^2

81 + 144 = C^2

225 = C^2

15 = C

Hope this helps! Pls give brainliest!

HELP ME PLSS.....


Consider the function f (x) = – ⅔+5.

What is f (5/2)?

Enter your answer, as a simplified fraction, in the box

f (5/2) =​

Answers

Answer:

2.5 f

Step-by-step explanation:

5

F x —

2

5

— f

2

I hope it's help :)

Answer:

hi good morning friends

The graph below could be the graph of which exponential function

Answers

Answer:

A

Step-by-step explanation:

The graph below could be the graph of A) F(x) = 2*[tex](0.7)^x[/tex] exponential function.

The graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is a decreasing exponential function. This is because the base of the exponent, 0.7, is between 0 and 1. As x increases, the value of [tex](0.7)^x[/tex] decreases, so the value of F(x) decreases.

The graphs of the other functions are all increasing exponential functions. This is because the bases of the exponents, 2, 5, and 1.4, are all greater than 1. As x increases, the value of [tex]2^x[/tex], [tex]5^x[/tex], and [tex]1.4^x[/tex] increases, so the value of the functions F(x) = 2 * [tex]2^x[/tex], F(x) = 2 * [tex]5^x[/tex], and F(x) = 2 * [tex]1.4^x[/tex] increases.

Therefore, the graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is the only graph that is decreasing. So the answer is A.

Here is a table that summarizes the properties of the graphs of the four functions:

Function Base of the exponent Graph

F(x) = 2 * [tex](0.7)^x[/tex] 0.7 (between 0 and 1) Decreasing

F(x) = [tex]2^x[/tex] 2 (greater than 1) Increasing

F(x) = 2 * [tex]5^x[/tex] 5 (greater than 1) Increasing

F(x) = 2 * [tex]1.4^x[/tex]  1.4 (greater than 1) Increasing

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