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3 years ago

Join my Among Us party!?!?!?!?! The code is PSZDPQ

Mathematics

2 answers:

STALIN [3.7K]3 years ago

5 0

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Serga [27]3 years ago

3 0

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The weight of an object on Earth varies directly as the weight of the same object on the moon. A 300 pound object on Earth would

slava [35]

Answer: 12 pounds.

Step-by-step explanation:

To solve this question, we'll use the direct proportion which is.

y = kx

Where,

y = weight on moon = 48 pounds

x = weight on Earth = 300 pounds

k = Unknown

y = kx

48 = 300k

k = 48/300

k = 0.16

The weight that a 75 pound object on Earth would weigh on the moon will be:

y = kx

where,

y = weight on moon = Unknown

k = 0.16

x = weight on Earth = 75 pounds

y = kx

y= 0.16 × 75

y = 12 pounds

The weight on the moon will be 12 pounds.

7 0

3 years ago

8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by

disa [49]

8) a) The new fastest time is 56.7 seconds, b) The <em>overall percentage</em> improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100) (1)

Where:

C - Initial value
C' - Final value
r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The <em>overall percentage</em> improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0

2 years ago

Find the domain and range of the function graphed in the picture.

algol [13]

The domain is the set of allowed x inputs, or x coordinates of a function. In this case, any point on the curve has an x coordinate that is 4 or smaller.

Therefore, the domain is the set of numbers x such that $x \le 4$

To write this in interval notation, we would write $(-\infty, 4]$ This interval starts at negative infinity and stops at 4. We exclude infinity with the curved parenthesis and include 4 with the square bracket.