A ball is dropped from a height of 50 feet. The function f(x) = 50(0.6)x gives the height in feet of feet of each bounce, where x is the bounce number. What is the height of the third bounce to the nearest tenth of a foot?

Answers

Answer 1

Answer:

The height of the third bounce is 10.8 feet

Step-by-step explanation:

Let us solve the question

∵ A ball is dropped from a height of 50 feet

∵ The function f(x) = 50[tex](0.6)^{x}[/tex] gives the height in feet of each bounce

∵ x is the bounce number

∵ We need to find the height of the third bounce

x = 3

→ Substitute x by 3 in the function above

∵ f(3) = 50(0.6)³

∴ f(3) = 50(0.126)

∴ f(3) = 10.8

The height of the third bounce is 10.8 feet


Related Questions

Part A How can you find the magnitude of a vector , where the horizontal change is x and the vertical change is y?

Answers

Step-by-step explanation:

The magnitude of the 2D vector is sqrt[x² + y²].

wrong answer sorry bout that

Which of the following expressions has the same meaning as “increase n by 25%
0.25n
0.75n
1.25n
1.75n

Answers

I believe it would be .25n
Hopefully it’s right

Answer:

1.25n

Step-by-step explanation:

n times 125% would be increasing it by 25%, so multiplying it by 1.25 would accomplish the same thing

Two linear functions are represented in different formats. Function 1: x y 0 5 2 ​11​ 5 ​20​ 8 ​29​ Function 2: Graph of a line passing through the point begin ordered pair 0 comma negative 1 end ordered pair and the point begin ordered pair 2 comma 0 end ordered pair. Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.

Answers

Answer:

2 is it I think it’s hard

Step-by-step explanation:

Two equations are given below: x + y = 10 x = 2 What is the solution to the set of equations in the form (x, y)? (5 points) ( 2, 2) ( 2, 8) ( 8, 2) ( 8, 8)

Answers

(2,8) because if x already equals 2 then u just subtract that from 10 and thats your y so it would be (2,8)

Help me out again oop

Answers

Answer:

count da squares first then triangles 12:6

Answer:

2:1

Step-by-step explanation:

12:6 simplfies to 2:1

What's the square root of 64?

Answers

Answer:

Step-by-step explanation:

Elias has joined a game rental service. The membership has an initial fee of $35.00 and each game rental costs $5.00. This table shows the linear relationship between the total cost, y, and the number of games Elias rents, x. Fill in each box to correctly model the relationship between x and y.

Answers

Answer:

y=mx+b

y=35+5x

Step-by-step explanation:

What is 35% of 50?
A. 17.5
B. 35
C. 85
D.142

Answers

A (17.5) have a great dayyy!! hope it helps :))

Help due soon will give brainliest show work

Answers

Answer:

A 6.24 I did this just yesterday and I'm sure I got it right

Answer:

D) 13.9 inches

Step-by-step explanation:

use the pythagorean theorem to solve this - a^2 + b^2 = c^2

8.5^2 + 11^2 = c^2

solving gets us a value of 193.25, so next, get the square root of that to the the diagonal length (13.90143...)

Solve the system by substitution y=6x and 7x-8y=-41

Answers

Answer:

Y=6 and x=1

Step-by-step explanation:

y=6x

∴y-6x=0

and 7x-8y=-41

Suppose,

-6x+y=0→(1)

and 7x-8y=-41→(2)

Taking equation (1), we have

-6x+y=0

⇒y=6x→(3)

Putting y=6x in equation (2), we get

7x-8y=-41

7x-8(6x)=-41

⇒7x-48x=-41

⇒-41x=-41

⇒x=1→(4)

Now, Putting x=1 in equation (3), we get

y=6x

⇒y=6(1)

⇒y=6

∴y=6 and x=1

7(12b + 9) - b what is the awnser

Answers

Answer:

12b + 14p - 7

Step-by-step explanation:

It is already simplified.

can i get brainlist too

The perimeter of a rectangle is 40 inches. If the length of the rectangle is 15 inches, which equation could be used to find the width, x?
OA. x + 2(15) = 40
OB. 15(x + 2) = 40
O.Cx+ 15 = 40
OD. 2(x + 15) = 40

Answers

A N S W E R :

Perimeter of rectangle = 40 inchesLength of rectangle = 15 inches

Let the required Breadth of rectangle be 'x' inches

Perimeter of rectangle is calculated by the given below formula :

Perimeter = 2(Length + Breadth)

Now, substitute the given values in above formula :

→ 40 = 2(15 + x)

Hence,the option (d) 2(x + 15) = 40 is the correct answer.

I NEED HELPPP PLEASE!!

A landscaper has two fields to seed. The first field requires 122
tons of seed and the second one will need
104
tons. How much
seed will the landscaper need altogether?

Answers

Answer:

226 tons of seed......

I need help with this question in Geometry.

Answers

Answer:

846 in

Step-by-step explanation:

48*15+21*6

720+126=846

Answer:

846 square inches.

Step-by-step explanation:

All you have to do is find the area of the net for the seat back.

Bottom and Top

L = 21 + 3 + 21 + 3   = 48

W = 15

Area

Area = L * w

Area = 48 * 15

Area =                                                       720

Area of the 2 sides .

L = 21

w = 3

Area =2 * L * w    There are 2 of them

Area = 21*3 * 2                                         126

Total                                                         846  

Pls help me ill mark brainliest and more

Answers

Answer: i believe its yes

Step-by-step explanation:

Answer:

B. Yes

Step-by-step explanation:

40 is what percent of 160?

Answers

Answer:

25

Step-by-step explanation:

percentage calculator 40 is what percent of 160=25;)

Answer:

40/100×160

Step-by-step explanation:

2/5×160

320/5

64

If a polynomial 2x( raised to power 3) -9x +15x +p, when divided by (x-2), leaves -p as remainder, then p is equal

Answers

Answer:

p is -5

Step-by-step explanation:

If a polynomial 2x³-9x² +15x +p is divided by (x-2), then the remainder is gotten by equating the divisor x - 2 to zero

If x - 2 = 0

Add 2 to both sides

x - 2 + 2 = 0 + 2

x = 2

Substitute x = 2 into the expression to get the remainder:

If p(x) = 2x³-9x² +15x +p

p(2)= 2(2)³-9(2)² +15(2) +p

p(2) = 2(8) - 9(4) + 30 + p

p(2) = 16-36+30+p

p(2) = -20 + 30 + p

p(2) = 10+p

Since the remainder given in question is - p, to get p, we will equate p(2) to -p as shown

p(2) = -p

10+p = -p

10 = -p-p

10 = -2p

p = 10/-2

p = -5

Hence the value of p is -5

Write an equation for the proportional relationship shown in the table.
x 0.5
1
1.5
2
y
19
38
76
57
y= x

Answers

9514 1404 393

Answer:

  y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

  y = kx

  y = 38x

Lin bought x grams of sugar. Jada bought 3⁄4 more than that. Select ​all​ equations that represent the relationship between the amount of sugar that Lin bought, x, and the amount of sugar that Jada bought, y.

Answers

Answer:

y = 7/4x

Step-by-step explanation:

Lin bought x grams of sugar.

Jada bought 3⁄4 more than  Lin bought.

The equation:

y = x + 3/4x ⇒ y = 7/4x

x – 3 + 9x + 7 what is the awnser

Answers

Answer:

10x+4 or 2(5x+2)

Step-by-step explanation:

you just add

Answer:

Guide for how to get your answer and your answer

step 1

   Find roots (zeroes) of :       F(x) = x3-9x-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -7.

step 2

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,7

Lets test

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -7       1        -7.00        -287.00    

     1       1        1.00        -15.00    

     7       1        7.00        273.00

found no rational roots.

(end equation of part 2)  x3 - 9x - 7  = 0

step 4

Solve   x3-9x-7 = 0

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is   F(x) = x3 - 9x - 7

At   x=   -3.00   F(x)  is equal to  -7.00

At   x=   -2.00   F(x)  is equal to  3.00

Intuitively we feel, and justly so, that since  F(x)  is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl,  F(x) is zero,

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

Next Middle will get us close enough to zero:

    F( -0.844759464 ) is  -0.000000848  

    The desired approximation of the solution is:

      x ≓ -0.844759464

0.844759464 is your answer..

Step-by-step explanation:

a meteor train in Delhi carried 4865 passengers in 16 trips.Each trip had an equal number is passengers how many passengers travelled on each trip

Answers

Answer:

304

Step-by-step explanation:

4865/16 = 304.0625 or about 304

I have to round it since you can't bring part of a student in a trip lol.

Ace Carlos

A company ships its drink mix in a box in the shape of a rectangular prism. The base of the
prism is a rectangle with a length of 4 meters and a width of 1.5 meters. The height of the
container is 2.5 meters. What is the volume of the box in cubic meters?

Answers

Answer:

6 cubic meters

Step-by-step explanation:

Anyone please I need the first one plz

Answers

Answer:

-1/2

Step-by-step explanation:

Conner has a coupon for $2.31 off any
purchase of fruit. He decides to buy a
bag of 9 apples which normally cost
$9.33. If Conner uses his coupon, what
will be the price per apple?

Answers

Answer:

$0.78 per apple

Step-by-step explanation:

First, find the price of the bag with the coupon:

9.33 - 2.31

= 7.02

Then, find the price per apple by dividing this by 9, since there are 9 apples in the bag:

7.02/9

= 0.78

So, with the coupon, the price per apple is $0.78

A^n =16 + (N - 1) (-0.5), 15th term
Find the indicated term of the arithmetic sequence.

Answers

Answer:

9

Step-by-step explanation:

we just replace n with 15

A(n) =16 + (N - 1) (-0.5)

      =16 + (15 - 1) (-0.5)

      =16-7.5+0.5

       =9

hope it helps

Help!!!! I need the answer please

Answers

x intercepts: (3/2 , 0)
y intercepts: (0 , -2)
The x-intercept is (1.5, 0) and the y-intercept is (0, -2).
If you don’t already have desmos, the app is really useful! Just put in the equation, and it will graph it for you and show you the intercepts :) That’s how I found the answer to this.

I help pls
I dum dum at math

Answers

Answer:

AB - XY ≅ 0

Step-by-step explanation:

since AB is identical to XY, AB - XY would be approximately 0

The diagonals of square LMNP intersect at K. Given that LK = 1, find the measure of MP.

Answers

Answer:  MP = 2

========================================================

Work Shown:

LK = 1 is given

LK = KN since the diagonals of a parallelogram bisect one another. The same can be said about PK = KM.

Since all squares are a rectangle, this means LN = MP. Any rectangle has its diagonals be congruent.

So,

LN = LK+KN

LN = 1+1

LN = 2

MP = LN

MP = 2

Hurryyyyyy giving brainliest

Solve for h.

h/4=6

Answers

Answer:

H equals 24

24/4 equals 6

Answer:

h = 24

Step-by-step explanation:

multiply both sides

h/4=6

4 x h/4 = 4 x 6

reduce multiply

and the solution is h = 24

Describe fully the single transformation that maps shape A onto shape B.

Answers

Answer:

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

Step-by-step explanation:

The coordinates of the A are A(-1, 3)

The coordinates of the corresponding point on B is (-1, 1)

Therefore, given that the x-coordinates of the pre-image A and the image B are the same, therefore, we have that image B is a reflection of image A

Also half the vertical distance between figure A and B = (3 - 1)/2 = 1

Therefore, figure A is obtained from figure B by reflection across a horizontal line, 1 unit below the lowest y-coordinate of figure A which is the line y = 3 - 1 = 2

Therefore, we have;

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

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