The distance a falling object travels towards the earth is directly proportional to the square of the time that it falls. If an orange bowl 16 feet in four seconds how far will it fall in eight seconds

Answers

Answer 1

Answer:

64ft

Step-by-step explanation:

d = distance from the Earth/ft

t = time falling/s

d ∝ t²

d = kt²

d = 16 and t = 4:

16 = k(4)²

16 = 16k

k = ¹⁶/₁₆

k = 1

d = t²

t = 8:

d = (8)²

d = 64


Related Questions

Solve for 44.
61°
44 = [?]
O
44/42
58°

Answers

Answer:

answer below

Step-by-step explanation:

angles of a Tringle Addup to 180

let <2=x

61+58+x=180

x=180-61-58

x= 61°

now we know that the triangle was an isocelies triangle

<2=61°

But <2 and <4are on a straight line

therefore the sum of the angles are 180

<2+<4=180°

61°+<4=180°

<4=180°-61°

<4=119°

A box containing 11 2/5 lbs of goldfish crackers was delivered to the kindhearted classes to be split evenly among 3 teachers. Mrs.Z received another carton with 1.2 lbs crackers from a parent. How many pounds of goldfish crackers does Mrs.Z have?

Answers

Answer: 5

Step-by-step explanation:

11 2/5 Divided by 3 is 19/5 (as a fraction) or 3.8

add 3.8 to 1.2.

Hope I could help.

Does the table
represent a function? Why or why not?

Answers

Answer:

A is the right answer

Step-by-step explanation:

It has the right definition for a function. Can't explain it much better than that...

The answer is A.

STEP BY STEP: be awesome

someone please help me

Answers

9514 1404 393

Answer:

  f(x) +g(x) = 4x^2 +3

  f(x) -g(x) = 4x^2 -6x +1

  f(x)·g(x) = 12x^3 -5x^2 +3x +2

Step-by-step explanation:

Substitute for f(x) and g(x) and simplify.

(a)  f(x) +g(x) = (4x^2 -3x +2) +(3x +1)

  f(x) +g(x) = 4x^2 +3

__

(b)  f(x) -g(x) = (4x^2 -3x +2) -(3x +1)

  f(x) -g(x) = 4x^2 -6x +1

__

(c)  f(x)·g(x) = (4x^2 -3x +2)(3x +1)

  = (4x^2 -3x +2)(3x) +(4x^2 -3x +2)(1) . . . use the distributive property

  = 12x^3 -9x^2 +6x +4x^2 -3x +2

  f(x)·g(x) = 12x^3 -5x^2 +3x +2

Answer:

a.) f( x ) + g( x ) = 4 x² + 3

b.) f( x ) - g ( x ) = 4x² -6x + 3

c.)f ( x ) . g ( x ) = 12x³ - 5x² + 3x + 2

Step-by-step explanation:

Given :- f ( x) = 4x² - 3x + 2 and g(x)= 3x +1

Substitute the values of f(x) and g(x) and simplify all .

a.) f( x ) + g( x )

( 4x² - 3x + 2 ) + ( 3x + 1 )

4 x² - 3x + 2 + 3 x + 1

collect like terms

4x² - 3 x + 3 x + 2 + 1

4 x² + 3

b.) f ( x ) - g ( x )

( 4x² - 3x + 2 ) - ( 3x + 1 )

4x² - 3x + 2 - 3x - 1

collect like terms

4x² - 3 x - 3x + 2 - 1

4x² -6x + 1

c.) f ( x ) . g ( x )

( 4x² - 3x + 2 ) × ( 3x + 1 )

Use the Distributive property

3 x(4x² - 3x + 2 ) × 1 ( 4x² - 3x + 2 )

Remove the parantheses multiply

12x³ - 9x² + 6x + 4x² - 3x + 2

Collect like terms

12 x³- 9x ² + 4x² + 6x - 3x + 2

12x³ - 5x² + 3x + 2

Solve the equation -8v – 5 = -21 for v.

Answers

Answer:

v=2

Step-by-step explanation:

add five to the other side and: -8v=(-21+5)

divide -16 by -8: v= -16/-8

v=2

Write an equation that you can use to solve for x. Enter your answer in the box. ​

Answers

The answer is X=27 degrees

Steps-
90-63=27

Answer:

x+63 = 90

Step-by-step explanation:

x and 63 add to a right angle so their sum is 90

x+63 = 90

We can solve

x = 90-63

x = 27

A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 angle of elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the tree to the nearest foot? 350 5 ft 20 Ft 24 feet 29 feet 36 feet 31 feet Done

Answers

Answer:

29 ft

Step-by-step explanation:

We solve using the Trigonometric function of Tangent

tan θ = h - 5/20

θ = 50°

Hence

tan 50 = h - 5/20 feet

Cross Multiply

tan 50 × 20 feet = h - 5

23.8350718518842 + 5= h

h = 28.8350718518842

h = 29 ft

Answer:

29

Step-by-step explanation:

pls help rn.........

Answers

Answer:

-9.661

Step-by-step explanation:

I hope this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.

Answer:

-9.661

Step-by-step explanation:

-a + -b

-a -b

Let a = 6.05  and b = 3.611

-6.05 - 3.611

-9.661

Plss help I don't understand A circle has a diameter that extends from (2,6) to (-6,-8). What are the coordinates the
center of the circle

Answers

Answer:

(-2, -1)

Step-by-step explanation:

The centre of a circle is located at the mid-point of any diameter, hence we take the average of the coordinates of the end-points.

Cx = (2-6)/2 = -2

Cy = (6-8)/2 = -1

So the centre is located at (-2, -1)

5√2-3√2.


optional maths

Answers

It has to be undefined

Answer:  [tex]2\sqrt{2}[/tex]

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

Explanation:

Let's say we replace every copy of [tex]\sqrt{2}[/tex] with x

Doing so means we have the expression 5x-3x. That simplifies to 2x.

The last thing to do is replace the x with [tex]\sqrt{2}[/tex] and that's how we end up with [tex]2\sqrt{2}[/tex] as the final answer.

----------

In short: we subtract the numbers out front, and then tack on a root 2 at the end.

As another example, [tex]19\sqrt{2}-11\sqrt{2} = (19-11)\sqrt{2} = 8\sqrt{2}[/tex]

This is basically the same as saying 19x-11x = (19-11)x = 8x where [tex]x = \sqrt{2}[/tex]

The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?

Answers

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

A 6-foot diameter circle is divided
into six congruent sectors. What
is the area of each sector in square
inches? (Use 3.14 for 2.)

Answers

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

since circle is divided into 6 congruent sectors, area of each sector is 1/6th of area of circle.[tex]ar \: of \: sector \: = ar \: of \: circle \: \div 6 \\ = \pi \times 72 \times 72 \div 6 \\ = 2714.33[/tex]

The family car runs out of gas. You have to push it up the driveway into a service station. The ramp is 4 meters long and rises 0.10 meters. The car weighs 9000 N. You push with a force of 300N. How efficient is the ramp?

Answers

Answer:

Step-by-step explanation:

slope, m = 0.1m/4m = 0.025

Theoretical effort (ignoring friction) = 9000N * 0.025 = 225 N

actual effort = 300 N

efficiency

= potential energy out / actual energy in

= 225 N / 300 N = 0.75

if 30% of the total army troop are officers and 280 are soldiers.find the number of officer.​

Answers

Answer:

400 total .... 120 officers

Step-by-step explanation:

.7 X = 280

x=400

Answer:

30% of 280 is 84.

What I did to find the answer was multiply 280 by 3 then divide by 10.

I checked it with a calculator and got the same result being 84.

7x-3=4x+3 < Answer Please

Answers

Answer:

2! Thank it if it was helpful :D

Step-by-step explanation:

7x-4x=3+3

3x=6

x=2

Answer:

x=2

Step-by-step explanation:

7x - 3 = 4x + 3

-3 -3 = 4x- 7x

-6/-3 = -3x/-3

x = 2

Event A: Flipping heads on a coin
Event B: Rolling an odd number on a number cube

What is P(A and B)?

(Help this doesnt make any sense to me)

Answers

Answer:

1/4

Step-by-step explanation:

Add the probabilitys 1/2 plus 1/2 to get 1/4

Answer:

c

1/4

Step-by-step explanation:

Add the probabilitys 1/2 plus 1/2 to get 1/4

Need help ASAP pls I have 20 min

Answers

Answer:

x > - 8

Step-by-step explanation:

x + 5 > -3

x > - 8

What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)

Answers

Answer:

C

Step-by-step explanation:

Into the thick of it

Complete the number sentence to solve.

Three students share 4 feet of ribbon equally.

How many feet of ribbon does each student get?

4 ÷ 3 =
4
3
=

3


Each student's share is

3
feet of ribbon

Answers

Answer:

see image below

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Bab needs help please!

Answers

Answer:

V =282.6 in ^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know pi = 3.14 r= 3 and h =10

V = 3.14* 3^2 *10

V =282.6

Which numbers are divisible by 10?

A)635

B)950

C)953

Answers

B because it has a 0 at the end and any number that has a zero at the end is divisible by 10

Which of the following is the name of the point where the x-axis and y-axis intersect?​

Answers

Answer:

The place where the x and y axis meet, is called the point of origin

Step-by-step explanation:

I need help with this question it’s about circle angle things it’s for my practice test

Answers

Xnm would be 80 degrees
Xn would be 180 half of 360
Mn would be 260 180+80 degrees
Hope this helps :)

. Mr. Marcum bought 7 tickets to a puppet show and spent $40. He bought a combination of child tickets for $4 each and adult tickets for $10 each. How many of each ticket did he buy?​

Answers

Answer:

Mr. Marcum bought 5 child tickets and 2 adult tickets.

Step-by-step explanation:

First, assume that Mr. Marcum bought either 7 tickets of child tickets or 7 tickets of adult tickets. I'm using 7 child tickets for this working.

If Mr. Marcum bought 7 child tickets,

total money spent = $4 * 7 = $28

This is not equal to $40 and there has to be more money spent.

We should also calculate the price difference between the adult ticket and the child ticket.

Price difference per ticket = $10 - $4 = $6

This means that if Mr. Marcum bought an adult instead of a child ticket, he would spend $6 more.

In this case, Mr. Marcum has to spend $40- $28 = $12 more.

Hence, the number of adult tickets replacing the child tickets is $12/$6 = 2.

The number of child tickets = 7 - 2 = 5

On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 2), has a vertex at (1.5, 10), and goes through (5, negative 2).
Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing?

(–∞, 1.5)
(–∞, 10.25)
(1.5, ∞)
(10.25, ∞)

Answers

Answer:

Step-by-step explanation:

(-∞,1.5)

Answer:

(-∞,1.5)

Step-by-step explanation:

Got it right on edge2k21

68. Find the volume of this square-based
pyramid. (meters)

A. 810 m2
B. 270 m2
C. 405 m3
D. 180 m3
E. 60 m

Answers

Answer:

270 m^2

Step-by-step explanation:

1. Write down your formula.  It is V= 1/3 Bh

2. Plug in your numbers.  Your new formula is V= 1/3 (81)(10)

3. Simplify the expression to get 270.

Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)

Answers

Answer:

-3, -13, -23, -33, -43

Step-by-step explanation:

An atithmetic sequence has a common difference between each term

in -3, -13, -23, -33, -43

the difference between terms is a constant -10

can someone pls help me :))

Answers

Answer:

Angle B = 55°

AB = 5.2

AC = 7.4

Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the flowers was $75. How much should she tip the driver.

Answers

Answer:

[tex]8\%[/tex]

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping [tex]\frac{6}{75}=0.08[/tex] of the total. To convert this to a percentage, multiply by 100: [tex]0.08\implies 0.08\cdot 100=\boxed{8\%}[/tex]

8%
That’s how much she needs to tip

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

–12 – 20x ≤ –6x + 9
–12 – 20x ≥ –6x + 9
–12 + 20x ≤ –6x + 9
–12 + 20x ≥ –6x + 9

Answers

Answer:

-12 +20x≥ -6x+9

Step-by-step explanation:

–4(3 – 5x)≥ –6x + 9

We want to distribute the negative 4

-12 +20x≥ -6x+9

Answer:

D

Step-by-step explanation:

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