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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.

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Which polynomial function could be represented by the graph below?
Zinaida [17]

Answer:

third answer

Step-by-step explanation:

The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.

  • factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
  • set the factored polynomial equal to 0 => -2x(x^2+x-6)
  • divide both sides by -2x => 0 = x^2+x-6
  • factor => (x+3)(x-2) = 0
  • find zeros by setting both factors equal to 0 => x=-3, x=2

This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.

6 0
3 years ago
James said that he would need 25 red beads to make
o-na [289]

Answer:Elena uses 12 red beads to make 4 bracelets. How many red beads will Elena need to make 12 bracelets? How many red beads will Elena need to make 20 bracelets? You can make a table showing the number of bracelets that can be made with different numbers of red beads. The pairs of numbers in each column show the ratio ofred beads to bracelets. Notice the ratios are all equivalent.

Number of Red Beads 3 6 12 24 36 48 60 72 Number of Bracelets 1 2 4 8 12 16 20 24  

The table shows Elena will need 36 red beads to make 12 bracelets. Elena will need 60 red beads to make 20 bracelets. James said that he would need 25 red beads to make 75 bracelets. Is he correct? How did he get that answer?

Step-by-step explanation:

5 0
3 years ago
Let f(x) = x^3-3x^2+2 and g(x) = x^2 -6x+11 Enter the value of x such that f(x)=g(x)
Licemer1 [7]

The value of x such that f(x) = g(x) is x = 3

<h3>Quadratic equation</h3>

Given the following expressions as shown

f(x) = x^3-3x^2+2 and;

g(x) = x^2 -6x+11

Equate the expressions

x^3-3x^2+2 = x^2 -6x+11

Equate to zero

x^3-3x^2-x^2+2-11 = 0

x^3-3x^2-x^2 + 6x - 9 = 0

x^3-4x^2+6x-9 = 0

Factorize

On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

Learn more on polynomial here: brainly.com/question/2833285

#SPJ1

7 0
2 years ago
I need help, please. ​
telo118 [61]

Answer:

a

Step-by-step explanation:

11-9=2 and 2 times 7 is 14, 14 plus 12 is 26 ,and 26=26 is a true statement

8 0
4 years ago
Whats 69x420?????????
IRISSAK [1]

Answer:

28980

Step-by-step explanation:

Also "<em>nice</em>"

3 0
3 years ago
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