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dimulka [17.4K]
3 years ago
7

How are Mass and distance related to gravity

Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0

Answer:

look at explanation

Step-by-step explanation

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

docker41 [41]3 years ago
6 0

Answer:

here.

Step-by-step explanation:

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

I hope this helps! :D

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find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis
antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0

Which means that the roots are

x=0\ \lor\ x=1\ \lor\ x=-2

Next, we can expand the function definition:

y = x(x-1)(x+2) = x^3 + x^2 - 2x

In this form, it is much easier to compute the derivative:

y' = 3x^2+2x-2

If we evaluate the derivative in the points of interest, we have

y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

y-y_0=m(x-x_0)

is what we need. The three lines are:

y-0=6(x+2) \iff y = 6x+12  This is the tangent at x = -2

y-0=-2(x-0) \iff y = -2x  This is the tangent at x = 0

y-0=3(x-1) \iff y = 3x-3  This is the tangent at x = 1

7 0
3 years ago
How long does it take to travel 300 miles at 15 miles per hour
bearhunter [10]
It takes 20 miles per hour to travel 300 miles
8 0
3 years ago
Read 2 more answers
If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the
Simora [160]

Answer:

<h2>B. cannot be determined</h2>

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since  P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

7 0
3 years ago
What is the value of x ?? If u cant see numbers let me know
Hoochie [10]

Answer:

X = 58°

Step-by-step explanation:

105° = (2x -11)°

105° + 11° = 2x

116°= 2x

Divide both sides by 2

X = 58°.

4 0
3 years ago
Read 2 more answers
Kyle wants to compare 0.02 to 1/4 using fractions. Which fraction can you use for 0.02?
Crazy boy [7]

Answer:

\frac{1}{50}

Step-by-step explanation:

\text{Kyle wants to compare 0.02 to }\frac{1}{4} \text{ using fractions}\\\\\text{we need to convert 0.02 into fractional form.}\\\\\text{to convert a decimal into fractional form we divide by }10^n,\\\text{where n is the number of digits after decimal, and remove decimals}\\\text{from the number.}\\

\text{here in 0.02, we can see that the number of digits ater decimal is 2,}\\\text{so to convert it into fractional form, we get}\\\\0.02=\frac{2}{10^2}\\\\=\frac{2}{100}\\\\=\frac{1}{50}\\\\\text{so in decimal form, we can write 0.02 as }\frac{1}{50}\\

3 0
3 years ago
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