It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.

step-by-step easy explanation, please.

Answers

Answer 1

Answer:

K = 5 ; 125 m

Step-by-step explanation:

body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.

Given that:

Distance α (Timetaken)²

Distance = d ; Timetaken = t

d = Kt²

K = constant of proportionality

80 = k4²

80 = 16k

K = 80 / 16

K = 5

Distance it would fall in 5 seconds ; t = 5

D = Kt²

D = 5 * 5²

D = 5 * 25

D = 125

It will fall a distance of 125 m in 5 seconds.


Related Questions

Find the smallest non-zero whole number n such that 756n is a perfect cube.

Answers

Step-by-step explanation:

756 = 2² * 3³ * 7.

For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.

How to get from 2² to 2³: Multiply by 2.

3³ has already a power that is a multiple of 3.

How to get from 7 to 7³: Multiply by 7².

Hence n = 2 * 7² = 98.

Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Analysis of the elements in the set B

[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

Will give brainliest, and 32 points. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z Enter your answer in the box. What do I put in the box? Tell me that please.

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  [tex]\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}[/tex]

Answer:

5

Step-by-step explanation:

We know that:

Given expression: [tex]\frac{12z - 3y}{4x - z}[/tex]x = 3y = 1/3z = 5

Solution:

[tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12(3) - 3(\frac{1}{3}) }{4(3) - 5}[/tex]=> [tex]\frac{36 - 1 }{12 - 5}[/tex]=> [tex]\frac{35}{7} = 5[/tex]

Hence, 5 is the answer.

Find the slope of the altitude on each side of triangle ABC (a) A(1,0), B(-3, 4),C(-1,-3)

Answers

Here how about this To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Is 3.5 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

3.t can be written as a fraction, which is 7/2, so yes it is a rational number.

In a mathematics​ class 54, students received an A on the third​ test, which is ​150% of the students who received an A on the second test. How many students received an A on the second​ test?

10,1 #16

Answers

Answer:

Number of students who received A grade on the second test = 36

Step-by-step explanation:

Given that:

Number of students who received A grade on third test = 54

This is 150% of the students who received A on the second test.

Let,

x be the number of students who received A on the second test.

150% of x = 54

[tex]\frac{150}{100}x=54[/tex]

1.5x=54

Dividing both sides by 1.5

[tex]\frac{1.5x}{1.5}=\frac{54}{1.5}\\x=36[/tex]

Hence,

Number of students who received A grade on the second test = 36

What is the constant of proportionality?
Hours
Money
0
$0
1
$9
2
$18
3
$27
4
$36

Answers

$27 is the answer, good luck ma boi

Answer:the answer is 9 :)

Step-by-step explanation:

The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt?

Answers

Answer:

$3.70

Step-by-step explanation:

What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.

Answer:

The shirt would be $14.80 after using the coupon!

Step-by-step explanation:

I hope this helps a bit, have a good day! =)

The diagram shows a regular hexagon and a parallelogram.

Answers

Answer:

180-112 = 68

120-68=52

Step-by-step explanation:

I think that is 52

Answer:

x=52

Step-by-step explanation:

180-112=68

use the equation :(n-2)x180

(6-2)x180=720

720/6=120

120-68=52

Writing Linear Equations.
help is needed

Answers

Answer:

[tex]C=4m+30[/tex]

Answer:

30+4x=c

Step-by-step explanation:

cost of club is the 30$ base price and 4$ every month

30$ to join

plus 4$ times number of months you are in the club

number of months you are in club will be m

cost is c

put this into an equation

30+4x=c

i hope this helps

Your bill at a restaurant is $28.50. You leave a 16% tip. What is your final bill?
A.$4.56
B.$33.06
C.$23.94
D.$44.50 ​

Answers

Answer:

$ 33.06

Step-by-step explanation:

I Hope this helps :))))

What interval notation represents the data graphed below?



A. [1, 4]
B. [1, 4)
C. (1, 4)
D. (1, 4]

Answers

The answer is D since the circle on the left is open and the one on the right is closed.

Josh started washing at 4:07 PM and finished at 5:31 PM. How long did it take him? Give your answer in hours and minutes​?

Answers

it took him 1 hour & 24 minutes

Find the volume of a cone with a base diameter of 8 m and a height of 12 m.
Write the exact volume in terms of it, and be sure to include the correct unit in your answer.

Answers

Answer:

the formula for the volume of a cone is:

1/3hπr²

1/3×12m×π×8m=100.48m³

Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.

a. Add 3 to each term inside the parentheses, then use inverse operations to solve.
b. Subtract 3 from each term inside the parentheses, then subtract 12 from both sides.
c. Multiply each term inside the parentheses by 3, then use inverse operations to solve.
d. Divide both terms inside the parentheses by 3, then subtract 12 from both sides.

Answers

the answer is C you’re welcome :)

Which angle is congruent to p

Answers

Q is congruent to P because they’re both got the same x and y number the x is 5 and -5 and for y is 3 and -3.

Answer: angle q is congruent to angle p

Step-by-step explanation:

congruent means same size shape, ect....

tom scored 23 points in a basketball game. He attempted 15 field goals and 6 free throws. If each successful field goal is 2 points and each successful free throw is 1 point, is it possible he successfully made all 6 of his throws?

Answers

Answer:

No

Step-by-step explanation:

The number is odd, so if he makes all 6 the number wouldn't make sense, because for every successful field goal he gets is 2points; so mathematically it wouldn't make sense.

Answer:

I don't know sorry

Step-by-step explanation:

Pls help extra points and mark brainlist easy reading

Answers

Answer: the second one

Step-by-step explanation:

what is this answer?​

Answers

Answer:

the answer is h=9

Step-by-step explanation:

the answer is h=9

27/3=9

estimate the quotient 61 ÷ 8 plz help me someone

Answers

Answer:

7.625

Step-by-step explanation:

11 ÷ 3/4=
what dose it means ​

Answers

Answer:

14.66 or 14.7

Step-by-step explanation:

if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7

Answer:

Step-by-step explanation:

11 ÷ 3/4 = [tex]11 * \frac{4}{3}[/tex]

             [tex]=\frac{44}{3}\\\\=14\frac{2}{3}[/tex]

     

ILL GIVE U BRAINLIST!!

Connor is working two summer jobs, making $8 per hour walking dogs and making $12 per hour landscaping. In a given week, he can work a maximum of 15 total hours and must earn no less than $160. If Connor worked 12 hours walking dogs, determine the maximum number of whole hours landscaping that he can work and still meet his requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

[tex]\mathrm{No\: solutions}[/tex]

Step-by-step explanation:

Since Connor has worked 12 hours walking dogs, he's earned [tex]12\cdot 8 = \$96[/tex] from walking dogs. He still needs to earn [tex]\$160-\$96=\$64[/tex]. As stated in the problem, he makes $12 an hour landscaping, therefore the minimum number of whole hours he must work to fulfill his requirements is [tex]\lceil{ \frac{64}{12} \rceil = 6\: \mathrm{hours}[/tex]. However, the problem states he can only work a maximum of 15 hours. He would have to work [tex]12+6=18[/tex] to fulfill his requirements and therefore he will not be able to meet his requirements with the restrictions given.


Kimberly went 5 miles after walking for 2 hours. If Kimberly's rate of travel st
the same, how far would Kimberly go if she walked for 8 hours?

Answers

Answer:

20 miles

Step-by-step explanation:

5 miles for every 2 hours. There are 4 groups of 2 hour blocks in 8 hours, so we multiply the 5 miles*4 2 hour blocks (5*4). That leaves us with 20 miles is 8 hours.

help me.... this is do in 13 min

Answers

Answer:

d

Step-by-step explanation:

The answer would be 2/9

evaluate.
[tex] - \sqrt{81} [/tex]
.......

Answers

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.

Answers

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

[tex]-1\leq r\leq1[/tex]

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here,  Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

List Factors of 27??? (Pls answer I don't wanna waste points)

Answers

Answer:

1, 3, 9, 27

Step-by-step explanation:

Answer:

3*7

3*3*3

3^3

Step-by-step explanation:

.............

if k(x) =5x - 6, what is (k +K)(4)

Answers

Answer:

40x−48

Step-by-step explanation:

1. Replace k with 5x - 6.

   (5x - 6 + 5x - 6)(4)

2. Combine like terms.

   (10x - 12) (4)

3. Multiply.

   40x−48

I need your help please ​

Answers

Answer:

9.) A= 23mm².

P= 20mm.

T= PARALLELOGRAM.

Step-by-step explanation:

9.) A=(5+5) × 1/2 × 4.6

= (10) × 1/2 × 4.6

= 5mm× 4.6 mm

= 23mm².

P=(5+5+5+5)

= 20mm.

T= PARALLELOGRAM.

a fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange.

Answers

Answer:

Each fruit cost  $2.65 each

Step-by-step explanation:

530 divided by 2 equals 265

Then move the decimal two places left and you get...

2.65

    Brainliest? I'm trying to level up!

              </3 PureBeauty

Other Questions
20X + 60X=204080 an exercise in which a muscle is tightened andthere is no body movement PLEASE I REALLY NEED HELP I OFFER 15 POINTS help plz need help now hurry 23. Homer's Odyssey is the story of:a. Odysseus in the Trojan Warb. Odysseus' return to IthacaC. Achilles' return to Troyd. Achilles fighting in the Trojan War What is the thermocline?beneath 200 meters, ocean water cools at a constant rate of 1C per 100 meters depththe ocean area near the polar regions where water temperatures coolwhere magma is forced up through the ocean floor along mid-ocean ridgesthe area off the continental shelf that declines to the ocean floor Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which expression is equivalent to 4b + 2m?A) 6bmB) 2(2b+2m)C) 2(2b+ m)D) 6(b+m) A cube has a mass of 42 grams and a volume of 15 cubic centimeters. What is its density? (Show your work or complete all problems for brainliest) The following text is an excerpt from a secret note from a According to this excerpt, how will Germany benefitBritish general to the British Cabinet sent on September from invading Czechoslovakia?20, 1938.15. The broad conclusions of this Note may beo Germany's military will become stronger and moredangeroussummarized as follows:-(a) A German absorption of Czechoslovakia will enhanceo Germany will improve its relationship with Britainand Franceher military prestige, increase her war potential, andprobably enable her to dispose of stronger land forces C Germany will have access to important shippingagainst France and ourselves than she can do at presentroutes.o Germany will acquire valuable natural resources.(c) It follows, therefore, that, from the military point ofview, time is in our favour and that, if war with Germanyhas to come, it would be better to fight her in say 6-12months' time, than to accept the present challenge. The two major parties that exist in the United States are the _______________________ and the ______________________. Third parties do exist in the United States and The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.____square feet I will give brainiest to whoever answers correctly !! Classify the triangles based on whether they are right triangles.? Why did Douglass criticize Lincoln during the Civil War Pls help with this if you have time what is 246 588 rounded to the ten thousands place help please ASAP super hard what does cassack mean in Turkish A. free person B. servant C. warrior D. soldier write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a Describe four ways by which organisms reproduce asexually