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.

Answers

Answer 1

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters


Related Questions

During the summer, Breanna works at a coffee shop. She saves 75% of her earnings to buy new school clothes. If Breanna earns $750, what is the best estimate for the amount of money she saves to buy clothes?

Answers

Answer: The best estimate for the amount of money she saves to buy clothes = $ 562.5

Step-by-step explanation:

Given: Breanna saves 75% of her earnings to buy new school clothes.

Earnings for Breanna = $ 750

The amount of money she saves to buy clothes = 75% of 750

= 0.75 x  750   [75%= 0.75]

= $ 562.5

Hence, the best estimate for the amount of money she saves to buy clothes =  $ 562.5

In an orchard of apple and peach trees, 3/7 of the trees are peaches. What is the ratio of apple trees to peach trees?

Answers

The ratio of apple trees to peach trees,  if 3/7 of the trees are peaches is

4:3.

A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.

We have been given that

In an orchard of apple and peach trees, 3/7 of the trees are peaches.

Find out

The ratio of apple trees to peach trees?

To simplify a ratio, divide each number in the ratio by the same amount. To fully simplify a ratio, divide each number in the ratio by their highest common factor. Always keep the numbers in the ratio as whole numbers.

Let the number of total trees in orchard is 7 i.e. denominator of fraction.

Then the no. of peaches tree are  3

so the no. of apple tree in the  orchard = 4

Hence , If 3/7 of the trees are peach trees, the ratio of apple trees to peach trees is 4:3.

To learn more about Ratio

https://brainly.com/question/3796978

#SPJ1

Identify the constants

Answers

Step-by-step explanation:

the constant is 6..............

Which fractions are equivalent to 2/12 + 4/12? Check all that apply.


[] 1/2

[] 2/4

[] 3/6

[] 2/3

[] 3/4 ​

Answers

Answer:

1/2

2/4

3/6

Step-by-step explanation:

Can y’all plz help me for brainliest

Answers

Answer: x = 3

Step-by-step explanation: First subtract 2x from both sides to get:

3x + 6 = 15

Then subtract 6 on both sides

3x = 9

Now divide by 3 to isolate x to get...

x = 3

5x + 6 = 2x + 15
5x + 2x = 6 + 15
7x = 21 (then you divide 21 by 7)
x= 3
That’s how I do it

28.4 x 21.05 divided by 5.9

Answers

Answer:

101.325423729

Step-by-step explanation:

28.4 x 21.05 =597.82

597.82/5.9=101.325423729

Answer:

The answer is 101.325423729

Step-by-step explanation:

28.4 × 21.05 = 597.82

597.82 ÷ 5.9 = 101.325423729

Help me please with this ​

Answers

Answer:

(3,2)

Step-by-step explanation:

2x+5y=16

3x-5y=-1

add

5x= 15

x=3

plug back in

2(3)+5y=16

6+5y=16

5y=10

y=2

There are 7.55 grams of sugar in 5 servings of strawberries. How many grams of sugar are in a single serving of strawberries?

Answers

Answer:

1.51

Step-by-step explanation:

Divide 7.55 by 5 and it equals 1.51

The answer is 1.51. If you just divide 7.55 by 5 then you get your total of 1.51. To check your answer you can just take 1.51 and multiply it by 5 and you get 7.55.

an apple tree measure 20 1/2. Over the next 5 years, it grew the height of 28 feet.what was the average yearly growth of the apple tree

Answers

Answer: 1 ½ feet

Explanation:
1. Subtract the original height (20½) from the height it is after five years (28). (28-20½=7½)
2. Divide the difference (7½) by the number of years (5) to get the answer. (7½÷5=1½)

What is the solution for x in the equation?
-4 + 5x - 7 = 10 + 3x - 2x
ОА.
21
1 =
OB.
OC.
13
1
OD.
1 =
4
21

Answers

Answer:

Step-by-step explanation:

OA. -1 OB. -4 oc. o OD. 16 OE-2 QUESTION 11 Find the particular solution to the differential equation dy - 4x dx y if y(1)=4 OA Y = 7x-3 OB. Y=2x2 + 14 Oc V=4x2 + 12 ODV= 2x+6 3 E. V=x? +3 Let f(x) = x4 - 3x3 + 3x? - 1. Find the intervals on which the graph of f(x) is concave down.

Translate this in Sentence properly.

1. y≤x-1
2.y<-2x+1
3.4x+2y≤-6
4.x≥-3
5.y= -3x+ 1

Answers

Answer:

um chile anyways so

Step-by-step explanation:

ಠ_ಠ༼ つ ◕_◕ ༽つ☜(゚ヮ゚☜)(☞゚ヮ゚)☞(•_•)(┬┬﹏┬┬)

pls tell me what is x^2-3(x+2)

Answers

Answer:

x^2-3x-6

Step-by-step explanation:

x^2- (3*x)-(3*2)

x^2-3x-6

Write equation of a line that is parallel to y = 2x -3

Answers

for a parallel line, just change the last number. it can be anything you want

ex. y = 2x + 1

An equation of a line parallel to y=2x-3 would be y=-2x-3.

Please help this is due today and. I need to get it done fast!!!

I will mark Brainliest if there are multiple answers!!!


These shapes (in the photo attached) are similar. Find the value of x.

Please help!! I have posted this several times but no responses!

Answers

Answer:

There is no picture attached

Step-by-step explanation:

I need help with Geometry

Answers

Answer:

The correct answer is:

Option 2: Yes, because the slopes of lines are negative reciprocals.

Step-by-step explanation:

Given equations of lines are:

Line p: x+2y=1

Line q: y=2x+1

We can determine if two lines are parallel or perpendicular by comparing the slopes of line.

Slope intercept form of line is given by the formula

[tex]y = mx+b[/tex]

Equation of line q is already in slope intercept form.

We have to convert the equation of line p in slope-intercept form

[tex]x+2y = 1\\2y = -x+1\\2y = -\frac{1}{2}x+\frac{1}{2}[/tex]

Slope of line p = 2

Slope of line q = -1/2

We can see that

[tex]2.-\frac{1}{2} = -1[/tex]

The product of slopes of both lines is -1, hence, the lines are perpendicular.

Hence,

The correct answer is:

Option 2: Yes, because the slopes of lines are negative reciprocals.


Write an expression for “k divided by four”.

Answers

Answer:

k/4

Step-by-step explanation:

the_is the vertical distance between two points

Answers

Answer:

Slope

Step-by-step explanation:

slope is the ratio of the vertical and horizontal changes between two points on a surface or a line

Answer:

rise

Step-by-step explanation:

did thequiz

Round 75.434 to the nearest hundredth

Answers

Answer:75.43

Explanation:
75.43
I’m sure it’s right but not. oof.

Can someone give me the answer

Answers

Answer:

B=YZ/20A

Step-by-step explanation:

(If your answer is correct,I'll mark you as brainliest.) John commutes each day to work either by train or by bus the bus cost 10 + 2 per trip the train cost 15 + $1.50 per trip. What is the most number of trips John can make before the bus cost more than the train?​

Answers

Answer:

8 trips.

Step-by-step explanation:

15 + 1.50 = 16.50

16.50 divided by 2 = 8.25

The answer would be 8 hope it helps

Damarcus and Xavier went to the arcade to play their two favorite games. Damarcus played 4 rounds of game 1 and 6 rounds of game 2 for $18.00. Xavier played 5 rounds of each game for $20. What is the cost of game 1? A. $1.00 B. $2.00 C. $3.00 D. $4.00

Answers

Answer:

The correct option is (c).

Step-by-step explanation:

Let x and y denote the cost of game 1 and game 2 respectively.

ATQ,

4x+6y = 18  ....(1)

5x + 5y = 20 ....(2)

Multiply equation (1) by 5 and equation (2) by 4.

20x+30y = 90 ....(3)

20x + 20y = 80 ....(4)

Subtracting equation (3) and (4)

20x+30y - (20x + 20y) = 90-80

20x-20x+30y-20y = 10

10y = 10

y = 1

Put the value of y in equation (1).

4x+6(1) = 18

4x = 18-6

4x = 12

x = 3

Hence, the cost of game 1 is $3.00

i need this done please

Answers

Answer:

11/15

Step-by-step explanation:

There are 15 jellies in a box and 11 of them are not red so your answer should be 11/15.

Which of the following best describes how to measure the spread of the data?


The IQR is a better measure of spread for movies than it is for basketball games.

The standard deviation is a better measure of spread for movies than it is for basketball games.

The IQR is the best measurement of spread for games and movies.

The standard deviation is the best measurement of spread for games and movies.

Answers

Answer:

C. The IQR is the best measurement of spread for games and movies

Step-by-step explanation:

In a box plot, the Interquartile Range (IQR) can be gotten by finding the range of the rectangular box. That is, The third Quartile (Q3) - the first quartile (Q1).

The IQR is a measure of spread, and it would be appropriate for measuring spread of the data for both Movies and Basketball games displayed by the box plot.

Answer:

C

Step-by-step explanation:

take a look at the pics and help me please

Answers

you can look at the above photo

some marbles in a bag are in the ratio. green : red = 3 : 4 what is the ratio red : green?

Answers

Answer:  3 : 4

Step-by-step explanation:

I hope this helped if wrong I'm not sure what the answer is

What is the value of x?
Please help

Answers

Step-by-step explanation:

[tex]360 = 60 + 4x \\ 360 - 60 = 4x \\ 300 = 4x \\ \frac{300}{4} = \frac{4x}{4} \\ x = 75[/tex]

The total internal angle of the polygon is 360°. Since there are 4 unknown angles but the same, we would just add all those to 60° to equal a full 360°.

If f(x) = 2x²–5x+3, find f(x+1)​

Answers

Answer:

[tex]2x^{2}[/tex]-x

Step-by-step explanation:

To find (x+1) substitue x+1 into the function.

1. 2(x+1)^2-5(x+1)+3: Substitution

2. 2x^2+4x+2-5x+5+3: First do binominal expansion theorem for 1st one then distrubtive property for the first and second one.

3.Combine like with like

[tex]2x^{2}[/tex] , 4x+(-5x)= -x,  2-5+3=0 so

f(x+1)= [tex]2x^{2}[/tex]-x

which is a right angle?

Answers

Answer:

A

Step-by-step explanation:

Tony pays $25 for his monthly phone service and $.07 for each minute of talk time. If his May bill cost $54.54, how many minutes did he talk on the phone for?

Answers

Answer:

im not sure but i think he talked on the phone

for 7 hours. if this isnt right im sorry. if it is

please mark brainliest

Step-by-step explanation:

Can you solve the system of equations by elimination
2x + 3y = 16
5x - 2y = 21

Answers

The values of x and y are 5 and 2 respectively
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