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PSYCHO15rus [73]
3 years ago
13

What is the point of an object where the force of gravity is considered to act?

Mathematics
1 answer:
Luden [163]3 years ago
6 0
Gravity always acts downward on every object on earth. Gravity multiplied by the object's mass produces a force called weight. Although the force of an object's weight acts downward on every particle of the object, it is usually considered to act as a single force through its balance point, or center of gravity.
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Miguel biked 14 km in the same amount of time that linda hiked 10 km. Miguel's rate was 4 km/h more than linda's. How fast did e
matrenka [14]

The first thing we must do is define a variable.

We have then:

x: Linda's speed.

Then, by definition, the time traveled is equal to the distance between the velocity.

We have then:

For Linda:

t = \frac{10}{x}

For Miguel:

t = \frac{14}{x + 4}

Then, since time is the same, then:

\frac{10}{x} = \frac{14}{x + 4}

Clearing Linda's speed we have:

10 (x + 4) = 14x

10x + 40 = 14x

40 = 14x-10x

40 = 4x

x = \frac{40}{4}

x = 10

Then, Miguel's speed is:

x + 4 = 10 + 4 = 14

Answer:

Linda's speed is 10 Km/h

Miguel's speed is 14 Km/h

3 0
3 years ago
Consider the functions f(x) = 2x - 3 and g(x) = 6 + 8/x. Solve for f(g(4))
ExtremeBDS [4]

Answer:

13

Step-by-step explanation:

Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.

We want to find f(g(4))

Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)

So first lets plug in 4 into x for g(x)

g(x) = 6 + 8/x.

We want to find g(4)

g(4) = 6 + 8/4

First divide 8 by 4

g(4) = 6 + 2

Then add 6 and 2

g(4) = 8

Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)

f(x) = 2x - 3

we want to find f(8)

f(8) = 2(8) - 3

* multiply 2 and 8 *

f(8) = 16 - 3

* subtract 3 from 16 *

f(8) = 13

and we are done!

So we can conclude that f(g(4)) = 13

5 0
3 years ago
Which of the following graph is the solution -10<3x-4<8
satela [25.4K]

Answer:

( − 2 , 4 )

Step-by-step explanation:

There were no graphs listed in your question. So...

Convert the inequality to interval notation.

6 0
3 years ago
On a standard circular 12-hour clock, the numerals 12 and 6 are opposite each other. On the planet Bajor, they use a circular te
anastassius [24]
Opposite Numbers and their Sums:

1+6=7
2+7=9
3+8=11
4+9=13
5+10=15

Because of this, the pair of opposite numbers are 3 and 8 if you want the pair that equal 11.
7 0
3 years ago
George bought socks for "$"300 and planned to sell them for $6 a pair. write an inequality to find the minimum number of socks h
Anit [1.1K]

The inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

In the question, we are given that George bought socks for $300.

Therefore, George's total cost = $300.

We assume the number of pairs of socks George sells to be s.

The unit price per pair quoted by George = $6

Therefore, George's total sales = $6s.

We know that the profit over a transaction is given as the difference between sales and costs, that is,

The profit = The total sales - the total costs,

or, profit = 6s - 300.

In the question, we are required to make a profit of more than 210.

This can be shown by the inequality,

6s - 300 > 210.

Thus, the inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

Learn more about inequalities at

brainly.com/question/24372553

#SPJ4

5 0
2 years ago
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