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
Reika [66]
3 years ago
6

Q13. A stone is dropped from a height of 5 km. The distance it falls through varies directly with the

Mathematics
2 answers:
Simora [160]3 years ago
8 0
I’m not sure but I think it might be C so sorry if it’s wrong
Colt1911 [192]3 years ago
3 0

Answer:

<em>The stone covers 36 m in the 5th second. Correct choice: A.</em>

Step-by-step explanation:

<u>Proportions</u>

Two variables are said to be proportional if one of them can be calculated by multiplying the other by a constant of proportionality. If y and x are those variables, then:

y=k.x

There are other similar proportions where the relation is not linear. For example, if y is proportional to the square of x, then:

y=k.x^2

According to the conditions of the question, the distance traveled by a stone dropped from a height of 5 Km varies directly with the square of the time taken to fall through that distance. If d is the distance and t is the time, then;

d=k.t^2

To find the value of k, we use the given condition: The stone falls d=66 meters in t=4 seconds. Substituting:

64=k.4^2=16k

Solving:

k=64/16=4

Substitute the value of k into the equation to get the complete model.

d=4.t^2

Now we calculate the distance when t=5 seconds:

d=4\cdot 5^2=4\cdot 25=100

The stone has covered 100 m in 5 seconds. But we need to find the distance covered in the 5th second, that specific interval between 4 sec and 5 sec.

Since we already know the distance for t=4 sec (64 m), and the distance for t=5 sec (100 m), then:

distance in the 5th second = 100 m - 64 m = 36 m

The stone covers 36 m in the 5th second. Option A.

You might be interested in
PLS TELL ME WHAT IT IS
Sever21 [200]

Answer: J

Step-by-step explanation: Find out what 85% of 320 is.

6 0
3 years ago
Read 2 more answers
What is the slope of the line?<br> y + 1 = 3(2x - 4)
Alexeev081 [22]

Answer: 6

Step-by-step explanation:

Let's start by getting the equation to slope intercept form

First simplify

y + 1 = 3(2x - 4)\\\\y+1=6x-12

Then get y by itself

y+1-1=6x-12-1\\y=6x-13

In slope intercept form y=mx+b, m is the slope

In this case the slope is 6

6 0
2 years ago
Which list is in order from least to greatest?
NeX [460]

Answer:

The first option.

Explanation:

Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.

4 0
2 years ago
After simplifying, how many terms does the expression 4y-6+y2-9 contain?​
Alex73 [517]

Answer:

There are three terms in the simplified expression.

Step-by-step explanation:

We have to simplify the expression and have to count the number of terms that the expression has.

The expression is 4y - 6 + y² - 9

= 4y + y² - 6 - 9

= y² + 4y - 15

Therefore, there are three terms in the simplified expression, one for y² term, another is y term and the constant term. (Answer)

8 0
3 years ago
Read 2 more answers
Multiply and simplify. (x - 3)(x2 + 3x + 9)
saul85 [17]
When you distribute and combine like terms, the result is x^3-27

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the point, M, that divides segment AB into a ratio of 5:6 if A is at (0,22) and B is at (11,0).
    5·2 answers
  • If two lines intersect in a 90° angle what can you save up lines
    13·1 answer
  • Let F=f+g and G=3f-g<br> find F'(1)
    8·1 answer
  • Solve. 3x2 + 4x = –5 <br> using quadratic equation ...?
    10·1 answer
  • I need to simplify (a2b4c)3
    8·2 answers
  • 2
    8·1 answer
  • Danny has a scale drawing of his house. If
    8·1 answer
  • Write an equation of the line that passes through the points (5, -1) (-5, 5)
    5·1 answer
  • -
    11·1 answer
  • F(1) =3 and f (n+1)= f(n)^2+3 then find the value of f(4)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!