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vazorg [7]
3 years ago
15

The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the gr

ound). If an object fell 71ft in 5 seconds, how far will it have fallen by the end of 9 seconds
Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

Given that distance, d varies directly with square of the time,t, if we introduce a constant of proportionality, k, the expression becomes

d = kt²

If d = 71 when t = 5, then

71 = k × 5² = 25k

k = 71/25

k = 2.84

The equation becomes

d = 2.84t²

Therefore, when t = 9 seconds, then

d = 2.84 × 9² = 230.04 ft

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Harman [31]

Answer:

10k-5x-12.2

Step-by-step explanation:

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3 years ago
For each menu item at a fast food restaurant, the fat content (in grams) and the
Alexxandr [17]

Answer:

The answer is "Option a".

Step-by-step explanation:

please find the attached file.

In the given question, the positive correlation shows the scatterplot and, by adding six now higher calories, low-fat pasta, is the positive value for the new correlation of the coefficient will be decreasing.

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7 0
3 years ago
For every 24 minutes of television there are 6 minutes of commercials how many minutes of a commercial are there 1 hour and 36 m
oksian1 [2.3K]

Answer: 16 minutes


Step-by-step explanation:

24: 6= 4

1 hour = 60 minutes

60+36 =96

24 x 4 = 96

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5 0
4 years ago
What is the length of Line segment CD?
NISA [10]
Depending on if it’s a straight line, it can be 180 degrees
7 0
4 years ago
The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the c
Arturiano [62]

Incomplete Question:

The content of the pie chart is as follows:

<em>Hamsters  = 9% ; Snakes  = 10% ; Cats  = 23% </em>

<em> Birds  = 21% ;  Dogs  = 26% ;  Fish  = 11%</em>

<em></em>

Answer:

The number of citizens who chose cat or fish is 47,600

Step-by-step explanation:

Given

Number of citizens = 140,000

Required

Determine the number of those that chose fish or cats

First, we need to calculate the percentage of those whose pets are either cats or fish

Percentage = Cat + Fish

Substitute 23% for cat and 11% for fish

Percentage = 23\% + 11\%

Percentage = 34\%

Next, is to multiply the calculated percentage by the number of citizens

Cat\ or\ Fish = Percentage * Number\ of\ Citizens

Cat\ or\ Fish = 34\% * 140000

Cat\ or\ fish = 47600

<em>Hence, the number of citizens who chose cat or fish is 47,600</em>

4 0
4 years ago
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