1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Cerrena [4.2K]
4 years ago
13

The distance traveled by a falling object is directly proportional to the square of the time it takes to fall that far. If the o

bject falls 100 feet in 2.5 seconds, how far does it fall in 5 seconds?
Mathematics
1 answer:
Aleks04 [339]4 years ago
4 0

Answer:

400 ft

Step-by-step explanation:

Let the distance traveled = d

Let the time taken = t

d α t^2

d = kt^2

k = d /t^2

When d = 100 and t = 2.5secs

k = 100/ (2.5)^2

k = 16

d = 16t^2

When t = 5secs

d = 16(5)^2

d = 16 * 25

d = 400 ft

You might be interested in
It is known that 6 < a < 10. Find all possible values of the expression 2 - a. (Please help me, I don't remember how to so
m_a_m_a [10]
A can equal 7, 8 or 9
so 2 - a can equal -5, -6 or -7
3 0
3 years ago
Find the distance between (1,2) and (5,5).
Vilka [71]

Answer:

5 units

Step-by-step explanation:

4^2+3^2=25

root25=5

3 0
3 years ago
Two students use different methods to solve this multiplication problem: 25⋅-155825·-1558 read each of their methods below and t
melisa1 [442]

Answer: The answer in simplest form is -6(1/4)

Step-by-step explanation:

In Wyatt's method I observed the mixed fraction was converted to simple fraction in the second step.

Therefore Wyatt's solution will be:

2/5 * -15(5/8) = 2/5 * -125/8 = -25/4

Distributive property was used in Abigail's method.

The solution would be:

2/5 * -15(5/8) = 2/5(-15 -5/8) = 2/5(-15) + 2/5(-5/8) = -6(-1/4)

Note: Complete question is contained in the image

3 0
3 years ago
Read 2 more answers
How to find the resultant vector
ss7ja [257]
You should add the initial vector to the final vector. Direction should not be left out as it important
4 0
4 years ago
A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat
fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

A=P(1+i)^n\\\\=471900\times1.1\\\\=519090

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0
4 years ago
Other questions:
  • A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?
    11·1 answer
  • Did I do this right? What can I fix?
    10·1 answer
  • A sample of n = 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no visible damage
    12·1 answer
  • Ravi can type 6 words in 4 seconds. how many words can she type in 10 seconds.
    7·1 answer
  • Find 7% of 3.1 trillion
    6·1 answer
  • Show me how I do it please
    6·1 answer
  • How do i do this.??? Help.??? Anyone.???
    6·1 answer
  • A candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches What is the volume of the
    9·1 answer
  • I need this answer ASAP
    12·1 answer
  • I have 50$
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!