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

A box of cereal states that there are 96 calories in a
3
4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups of the​ cereal?

Answers

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

If the supplies on shelf A are normally $7 each and the supplies on shelf B are normally $6 each, how much will you save on each package plan from part a? Buying the first package will save $ and buying the second package will save $​

Answers

Pretty sure you’ll save 1 dollar for b and and lose one dollar for a

Solve:

2/5 + 4/10 = ?

BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR

A 6/10

B 6/15

C 2/15

D 8/10

Answers

Answer:

Option D is correct.

Step-by-step explanation:

2/5 + 4/10

=> 2/5 + 2/5

=> 4/5

4/5 = 8/10

Therefore, Option D is correct.

Hoped this helped.

Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?​

Answers

Answer:

62 days

Step-by-step explanation:

496/8 = 62

496/8=62

Hope this helps!

im literally on my last braincell please help omg

an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term

Answers

Answer:

its going up by 5 every time

Step-by-step explanation:i think that would help i dont know if it was obvious

What property of addition is defined by ( a + b ) + c + a + ( b + c )​

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition states that ( a + b ) + c = a + ( b + c )​

Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat?

Answers

Answer:

9 cookies are left

Step-by-step explanation:

36 - 9 = 27

27 · 1/3 = 9

Which is the correct factored form for 8x^3?

Answers

I’m pretty sure its (2x)^3. I got this answer by rewriting the number in exponential form with the base of 2 which is 2^3 then simply multiplied 2^3 with x^3 to get (2x)^3

Answer:

HI! If this helps plz brainlist

Step-by-step explanation:

Rewrite 8 x 3 8 x 3 as (2x)3 ( 2 x ) 3 . Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=2x a = 2 x and b=3 . Simplify.

92% of what number is 30?
Please answer quick!

Answers

Answer: 32.61

Step-by-step explanation:

92/100 × x = 30

x = 30 × 100/92

x = 32.61

ΔABC is an isosceles triangle with AB = AC, D is the midpoint of BC and AD is joined. Prove that ΔABD ≅ ΔACD

Answers

Answer:

ΔABD ≅ ΔACD

Step-by-step explanation: I took the quiz

What is Part 1 and Part 2? I think I have these correct.

Answers

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Is this positive or negative? ( slopes ) y= -2/3 x - 1

Answers

Answer:

positive

Step-by-step explanation:

negative times negative is positive

positive times positive is positive

positive times negative is negative

negative times positive is negative

Tyesha found that the z-statistic was 2. 1 and that the critical z-values were -1. 96 and 1. 96. Which of the following is a valid conclusion based on these results? One can reject the null hypothesis. One can reject the alternate hypothesis. One can accept the null hypothesis. One cannot accept or reject the null hypothesis.

Answers

The option that represents a valid conclusion based on the given results is;

One can reject the null hypothesis.

We are told that the z-statistic was 2.1.

We are also told that the critical z-values were -1.96 and 1.96.

We see that the z-value is greater than the critical z-values.

Now, in hypothesis testing, when the z-value is greater than the critical z-values, then we reject the null hypothesis.

In conclusion, we will reject the null hypothesis.

Read more about hypothesis testing at; https://brainly.com/question/15980493

please help me out for a brainlist

Answers

Answer:

22.50

Step-by-step explanation:

2.50x6=15+7.50=22.50

Answer:

$22.50

Step-by-step explanation:

well we know we have 7.50 in the beginning then we add 2.50 x 6 to make the equation 7.50+ ( 2.50 X 6) which equals 22.50

another word for collinear

Answers

Answer: words like straight, symmetrical, aligned.

The cost of a cycle is ICRS $-3500. If the exchange rate of Indian currency is IC Re1= NC Rs 1.60, find the cost of cycle in Nepali Currency​

Answers

Answer: $35

Explanation: if you times it by -100 it should be $35

*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.

Answers

Answer:

y = - 1/3x - 5

Step-by-step explanation:

Use two given points (-6, -3) and (6, -7) to find equation of the line.

The slope:

m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3

The y - intercept is also visible on the graph (0, -5):

b = -5

The line is:

y = - 1/3x - 5

Answer:

[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the graph to find the equation of the line we must first find the slope

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Using the points (-6 , -3) and (6,-7) we have

[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]

Next we use the slope that has been found and one of the points to find the equation of the line

To find an equation of a line when given the slope and a point we use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) is the point

From the question using slope -1/3 and point (-6,3) we have

[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]

The equation of the line in slope-intercept form is

[tex]y = - \frac{1}{3} x + 1 \\ [/tex]

Hope this helps you

5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is offered a 48-month loan without interest. If the family is not able to pay back the full amount in 48 months, they will be charged 8% interest on the purchase amount. How much money in total will the young family pay if they take longer than 48 months? (Think: 48 months is 4 years.)​

Answers

Answer:

12742.84$

Step-by-step explanation:

11798 (the price) + 11796 x 0.08 (8% interest)=12742.84

There are 600 performers in a dance recital. The ratio of men to women is 4:6 many men performers were in the dance recital?

Answers

Answer:

240

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Hope it helps


Can someone please solve question 8

Answers

I’m unsure if this is it: 22.4.3592 is there options?

Answer:

22.84

Step-by-step explanation:

PLS HELP!!!!!!! I AM GIVING BRAINLIEST!!!!!

Select the correct images.
Select the parent function and its graph.

Answers

Answer:

The answer in image one is f(x)=2x     Left

The answer in image two is f(x)=x       Center

the answer in image three where right       Right

Answer:

The answer is f(x) = x. Its the second graph.

Step-by-step explanation:

Write the word sentence as an inequality.

A number b
multiplied by −5
is at most −34
.

Answers

Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

Answer: x = 55/2

Step-by-step explanation: (x)(2) (-3)(2) = 49                                                       2x-6+6 = 49+6                                                                                                               2x/2 = 55/2                                                                                                                   x = 55/2

I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

What is the solution to the system of equations?
y = 2x + 3
y = -x +8

Answers

Answer:

x= 5/3

Step-by-step explanation:

You would set the equations equal to each other, so 2x + 3 = -x + 8. Then, you would add the x to the 2x making it 3x. That makes your equation 3x + 3 = 8. Then you subtract the 3 making the equation 3x = 5 and then you would divide the 3 making your answer 5/3.

Simplify the following.
can someone pls help 25+ Points And BRAINLIEST.
I know the answer so give step by step explanation.​

Answers

Answer:

(2f-17h)/24k

Step-by-step explanation:

We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :

8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get

(2f-17h)/24k

On Monday, your bank account balance was -$12.71. Because you didn't realize this, you wrote a check for $30.96 for groceries. The new balance in the checking account dollars ​

Answers

Answer:

-$43.67

Step-by-step explanation:

your balance was negative $12.71 then you still took $30.96 for the groceries so the equation suppose be

-12.71 -30.96

it have same sign so you add them, after you add them you will get $43.67 but cause it was negative so your bank account's new balance was -$43.67.

The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?

Answers

Answer:

If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]

If there is a typo nad one of the slopes is negative, they're perpendicular.

Step-by-step explanation:

The product of the slope is 1 -unless you forgot a minus sign somewhere.

In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point

[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]

HELPPP PLEASEEEE………..

Answers

Answer:

the answer is 54°......

Maribel will borrow $6250 at 13.5% APR. She chooses to pay it back in 2 years.

What will her monthly payment be? Use the table.

Use the rate table to figure out the monthly payments per one hundred dollars.

Answers

At a rate of 13.5% the interest per $100 is $ 4.778 per month.

Therefore, for two years the payment will be

$4.778 × 24 = $114.672 per $ 100

Therefore, the interest for a principal $6250 for two years;

(6250/100) × 114.672

= $7167

The monthly payment would therefore be

7167/24

= $298.625

≈$298.63

Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.

Answers

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