A ball falls vertically after being dropped.
The ball falls a distance dmetres in a time of t seconds.
dis directly proportional to the square of t.
The ball fals 20 metres in a time of 2 seconds.
(a) Find a formula for din terms of t.

Answers

Answer 1

Answer:

d = 5t^2

Step-by-step explanation:

"d is directly proportional to the square of t"

d = kt^2

To find k use

"The ball falls 20 metres in a time of 2 seconds."

20 = k(2^2)

20 = k(4)

Divide both sides by 4

5 = k

Using k = 5 the formula becomes

d = 5t^2


Related Questions

ILL MARK BRAINIEST IF YOU GET THIS RIGHT!!!

Answers

Answer:

the answer is B!

hope this helps!

3. Find the surface area of the square pyramid.

Answers

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

What is the answer??

Answers

Answer: .41+.34=.75

Step-by-step explanation:

Find x if the average of 20, 15, 13, 17, and x is 18.

Answers

Answer:

5

Step-by-step explanation:

Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?

Answers

Answer:

(a) The expected value is: $0.40625

(b) The expected value is: $0.4286

Step-by-step explanation:

Solving (a): Raffle 1

Given

[tex]Tickets=800[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$450[/tex] ---- for 1

[tex]Consolation = \$100[/tex] --- for 2

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 800 * \$2[/tex]

[tex]A_1 = \$1600[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]

[tex]A_2 = \$450 +\$200[/tex]

[tex]A_2 = \$650[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$650}{\$1600}[/tex]

[tex]E(x) = \$0.40625[/tex]

Solving (b): Raffle 2

Given

[tex]Tickets=350[/tex]

[tex]Value = \$2[/tex] per ticket

[tex]Grand\ Prize = \$150[/tex] ---- for 1

[tex]Consolation = \$50[/tex] --- for 3

Required

The expected value of each ticket

First, calculate the total amount of the 800 tickets

[tex]Amount = Tickets * Value[/tex]

[tex]A_1 = 350 * \$2[/tex]

[tex]A_1 = \$700[/tex]

Next, calculate the total amount of the prizes

[tex]Amount = Tickets * Value[/tex]

[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]

[tex]A_2 = \$150 +\$150[/tex]

[tex]A_2 = \$300[/tex]

The expected value E(x) of 1 ticket is calculated as:

[tex]E(x) = \frac{A_2}{A_1}[/tex]

[tex]E(x) = \frac{\$300}{\$700}[/tex]

[tex]E(x) = \$0.4286[/tex]

7 times as much as 1/3 and 4/5

Answers

Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D

im giving brainlist away.......

Answers

Answer:

The time in minutes needed to drain the bathtub completely

Step-by-step explanation:

The decreasing graph shows the water being drained over a period of time.

The red line shows the starting amount of water in inches and the final point where there is no more water left in the tub.

Solve the equation below.
d/1.2 = 6

Answers

D=7.2

Step-by-step explanation:

To be honest I cant give you an explanation bc i used a calculator. Sorry

Determine the value of x.
Question 9 options:

A)

2

B)

2

C)



D)

4

Answers

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

3rd retry of this question! Please stop using bots to put in links as your answers!!! Please help me with this question! Thanks in advance!

Darius makes a shirt for $8. He sells the shirt for $18. By what percentage did Darius increase the cost of the shirt?

Answers

Answer:

He increased it by 225%

Step-by-step explanation:

18/8=2.25 and that into a percent is 225%

What is the circumference of this circle? Use 3.14 for pie

Answers

Answer:

37.68

Step-by-step explanation:

C=3.14 x 12

The formula for the circumference of a circle is:
c = 2(3.14) r

The image shown provided the diameter. Half of the diameter is the radius so:
12/2 = 6

r = 6

c = 2(3.14) 6

c = 37.68

Mr. Meyer is planning a sixth-grade field trip to Washington DC. He divides his students evenly between 9 chaperones will lead a group of 8 students. If S represents the total number of students going on the field trip with equation models the problem?

A. 8s = 9
Or
B. s/9 =8

Answers

I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72

Hope this helps answer some questions that you may have had.

Market price of an article is 30% above its purchase price.If the shopkeeper sold it by allowing 15% discount,then (i) Calculate the market price and profit amount if the shopkeeper paid 2500 for the article​.
solution by step:

Answers

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

What exactly is profit?

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

To learn more about the profit refer to the link;

https://brainly.com/question/15036999

#SPJ1


A chocolate bar says that a
serving size is 1/3 of the bar. How
many servings are in six bars of
chocolate?

Answers

Answer should be 1/18

1/3 x 6 = 1/18

Answer:

6/18 or 3/9 they are the same!

Hope this helps! Brainliest thanks!

WILL MARK BRAINLIEST HELP ASAP ASAP

Answers

Answer:

not necessarily congruent

Step-by-step explanation:

asa is angle side angle , in this case, none of the sides are marked congruent

sas is side angle side, again, no sides marked congruent

sss, side side side, again, no sides are marked congruent

which only leaves the triangles not being congruent.

a printer can print 27 pages in 4.5 minutes. how much time does it take to print 324 pages

Answers

Answer:

54

Step-by-step explanation:

27pages=4.5minutes

[tex]1 = \frac{4.5}{27} [/tex]

[tex]324 = \frac{4.5}{27} \times 324[/tex]

[tex]324 = 4.5 \times 12[/tex]

324pages=54minutes

Hence, the printer can print 324pages in 54 minutes

Please answer this question

Answers

Someone else is answering it but if they get it wrong then, and I’ll help you
I pretty sure it’s the second one but I’m not completely sure but I tried my best

MATH HELP

Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.

Answers

Answer:

yes

Step-by-step explanation:

75 out of 135 is 55.6%

Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.

Answers

Answer:

Where is the situation?

Step-by-step explanation:

Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.

solve the equation for x

Answers

Answer:

1/4x=8 which also equals 32

Step-by-step explanation:

12-4=8

5/8-3/8=2/8=1/4

1/4x=8   then you would multiple each side by 4 to cancel out and 4*8=32

write in standard rorma
y =2/3x-6

Answers

Answer:

-2/3x+y=6

Step-by-step explanation:

Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.

Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=

Answers

Answer:

supplementary

x = 146 degrees

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

Find the volume of this triangular prism. NO LINKS

Answers

Answer:

306 [tex]ft^{2}[/tex]

Step-by-step explanation:

Formula for triangle: bh/2

2 (8*9/2) = 72

Formula for rectange: bh

8*9 = 72

2(9*9) = 162

Add: 72 + 72 + 162 = 306

Parker invests money in an account paying a simple interest of
1.1% per year. If he invests $110 and no money will be added or
removed from the investment, how much will he have in one
year, in dollars and cents?

Answers

Answer:

111.21

Step-by-step explanation:

Took the test

Find the area of the figure. The area is square inches.

please help!​

Answers

Answer:

154 inchs

Step-by-step explanation:

22 * 14 divided by 2



Item 5 is unpinned. Click to pin.

Using the trend line equation, what is the predicted approximate value of y when x= 4.5?




5.12

3.98

3.47

2.75

Answers

Answer:

I think the answer is 3.47

x + 6 = 4

what is x ??

Answers

Answer:

x= (-2)

Step-by-step explanation:

brainliest?

What is the surface area of the cone? Use 3.14 for pi. Suppose the diameter and the slant height
of a cone are cut in half. How does this affect the surface area of
the cone? 14 cm is the diameter and 21 cm is the slant height

Answers

Answer:

923.16

Step-by-step explanation: so what you is you multiply 14x21 the you take half the raidius and divide by 3.14 and thats how you get your answer.

Help! Please anyone. I need help!

Answers

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

Cloe Dow purchased a hot tub for $5,000. She made a 50 percent down
payment and financed the remainder. What amount did she finance?

Answers

Answer:

She financed $2500

Step-by-step explanation:

If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps

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