The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds

Answers

Answer 1

Answer:

d = 64 feet

Step-by-step explanation:

Given that d is directly proportional to t² then the equation relating them is

d = kt² ← k is the constant of proportion

To find k use the condition t = 8 , d = 1024 , then

1024 = k × 8² = 64k ( divide both sides by 64 )

16 = k

d = 16t² ← equation of proportion

When t = 2 , then

d = 16 × 2² = 16 × 4 = 64 feet


Related Questions

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54

Answers

Answer:

y = - 4/3x - 9

Step-by-step explanation:

Answer:

[tex]y = -\frac{4}{3}x - 9[/tex]

Step-by-step explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x  - 54

Divide both sides by 6 to isolate y:

[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]

[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.

Is this answer right?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Your answer is correct! Good Job :)

Step-by-step explanation:

answer this 1 question​

Answers

Answer:

I have attached my answer below.

Step-by-step explanation:

Not sure if its correct or not. Hope this helps!!

Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!

Answers

Answer:

why did you need to play with you are you board of playing then stop playing game

What’s that. Anyways thanks for 5 points.

What is the slope between the points (-2, 3) and (1, 0)

Answers

you’re going to use the formula: y2-y1/x2-x1
plug that in: 0 - 3/-1 - 2 = -3/-3 or 1

What is the value of x?

Answers

Step-by-step explanation:

19x - 4 = 110 ( alternate Exterior angle )

→ 19x = 110 + 4 = 114

→ x = 114/19

→ x = 6

therefore, value of x is 6°.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

the choices for the first one is either x values or y-values ​

Answers

Answer:

x values

division

Step-by-step explanation:

Vertical lines are all "rise" and no "run"

therefor the difference in x values is always 0

division by 0 is undefined

Answer: y- values

Step-by-step explanation:

What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?

Answers

Answer:

Radius:  √ 61

Step-by-step explanation:

Complete the square for  x^ 2 + 12 x = ( x + 6 ) ^2 − 36

Substitute   ( x + 6 ) 2 − 36  for  x 2 + 12 x  in the equation  x 2 + y 2 + 12 x − 10 y = 0

= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0

Move  − 36  to the right side of the equation by adding  36  to both sides

= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36

Then you know the rest: radius will be √ 61

The center coordinate of the circle is (6,5) with a radius = 7.34

What is the equation of the circle?

The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]

Substituting the values in the equation:

[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]

⇒  -2ax =  -12x

⇒  a = 6.

-2by = -10y

b= 5.

⇒ a² + b² - r² =  -7

⇒  6² + 5² + r² = -7

⇒ 36 + 25 + r² =  -7

⇒ r² = 54

r = 7.34

Center coordinate (6,5) with r = 7.34

Learn more about the equation of the circle here: brainly.com/question/1471134

#SPJ2

phân tích đa thức thành nhân tử 8x^2+16xy

Answers

Answer: 8x^2+16xy= 8x(x+2y)

What are the types of polygons?

Answers

Answer:

Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon

Answer:

1.Regular Polygons.

2.Irregular Polygons.

3.Concave Polygons.

4.Convex Polygons.

5.Trigons.

6.Quadrilateral Polygons.

7.Pentagon Polygons.

8.Hexagon Polygons.

Step-by-step explanation:

dividing 0.68÷0.6936

Answers

The correct answer is 0.9803

Answer:

0.9804

Step-by-step explanation:

0.68 ÷ 0.6936 = 0.98039215686275

Joshua gets a daily allowance of $30. Each day he spends 60% of it on lunch, 1/2 of the remainder on transport and saves the rest. Calculate the amount he saves each week.

Answers

Answer:

$8

Step-by-step explanation:

60% of 30 is 16.

1/2 of 16 is 8.

He has $8 left.

The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.

Answers

Answer:

78.5

Step-by-step explanation:

[tex]r^{2}[/tex]x3.14 (pie)

so then substitute.

5x5=25

25x3.14=78.5

Graph the equation on the coordinate plane using the slope and y-intercept.

y=−2x

Answers

Answer:

Step-by-step explanation:

What is the answer to 4y/y?

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{4y}{y}[/tex] = 4 because the variable y on the numerator and the denominator can cancel out.

URGENT HELPP
I need to:
think the difference between what occurred and what you would expect by chance is statistically significant. Explain

Of the 40 students in your mathematics class 35 have the same last name.​

Answers

Answer:sadddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

if angle d is 15 what is angle CED?

Answers

Answer:

135

Step-by-step explanation:

this seems like a continuation of the question which was answered previously

we know angle AEB=135, using vertical angle theorem, AEB and CED are congruent, so CED=135

I believe it’s 134 or 135, good luck.

Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The answer is 12.6

Step-by-step explanation:

See the solution in the picture.

5p + 3 = 15
please make this into a word problem​

Answers

Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

Subtract three from both sides

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

300
O
3) What is the value of x?
69'
7090
7100
3D

Answers

Answer:

71°

Step-by-step explanation:

exterior angle = sum of two opposite interior angle

142°=2x°

x°=142°/2

x°=71°.

hope this helps you.

y = 147° ( Vertically opposite angles)

[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]

A recipe calls for 40 ounces of rice. how many grams of rice does the recipe require

Answers

Answer:

So you can convert e.g. 1 cup of rice or rice flour into grams or ounces etc. easily. Other even more exotic rice varieties converters menu page. You may enter whole numbers, decimals or fractions

Step-by-step explanation:

I need help please brainliest to correct answer
NO BOTSSSS PLEASEEEE
Also if you want fr33 p0!ints go answer my last question

Why are various creative works split up into different types under copyright law?


Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?


What kinds of artists benefit the most from creative commons licenses? Explain your answer.


Why is it useful for students to practice the MLA and APA citation methods?


What kinds of art works can be considered remixes or mashups? Explain your answer.

Answers

Answer:

1. The nature of creative work is that it can take almost any form, so the scope of the copyright law was drafted in such a way to take that into account. The categories that works can potentially be protected in are so wide that it’s difficult to imagine what types of creative work are not protected.

2.Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?

3.The Benefits of Using a Creative Commons License Numerous high-profile authors (including futurist Cory Doctorow), artists, musicians (such as the rock band Nine Inch Nails), and even government agencies and entities (including the White House) use Creative Commons licenses. You’ll find many more case studies on the Creative Commons site.

Step-by-step explanation:

Answer:

What kinds of artists benefit the most from creative commons licenses? Explain your answer.

Every license helps creators, they are called licensors if they use our tools  retain copyright while allowing others to copy, distribute, and make some uses of their work  at least non-commercially. Every Creative Commons license also ensures licensors get the credit for their work they deserve.

12 liters to quarts rounded to nearest hundredth

Answers

Answer:

12.6

Step-by-step explanation:

have a wonderful day :)

Help me please I’m bad at slopes

Answers

The slope of this line is 1/1

15 points. PLZ HELP!!! Slope intercept Form. Will mark Brainliest!!1

Answers

Y=16x
The b is 0 so no need to put it in the equation.
The slope is 16/1 which is 16
y= 4x , y intercept is 0 because it crosses the y-axis at 0,0

f(x) = -x2
Domain and range

Answers

Answer: answer in attachment.

Answer:

Hindi ko na to I answer may nag answer na e

Explanation:

Brainlest po please please follow ko po kayo promise

basta brainlest mo ako

Simplify the expression.
I NEED HELP PLEASE!!!

Answers

Answer:

-27/64p^3  

Tell me if you want a step by step. :)

joe mammamamamamamaamamamma

Answers

Answer:

this joke is getting old lol

Step-by-step explanation:

Q5. Here is a list of eight numbers
(Total for questio
4 5 4 25 29 30 33 39 40
From the list, write down
(i) a factor of 20
(ii) a multiple of 10
(iii) the prime number that is greater than 15
(Total for Questi
maths

Answers

Hi ;-)!

Here, from the options given, the answers are:-

i) 4 & 5

ii) 30

iii) 29

A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places

Answers

Answer:

38.30

Step-by-step explanation:

because 230 -6x=0

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