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A rock dropped on the moon will increase its speed from 0 m/s (its starting

belka [17]

<h2>Hello!</h2>

The answer is:

The correct option is the option D

$g=1.63\frac{m}{s^{2}}$

To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).

We need to use the following free fall equation:

$V_{f}=V_{o}-g*t$

Where:

$V_{f}$ is the final speed.

$V_{o}$ is the initial speed.

g is the acceleration due to gravity.

t is the time.

We are given the following information:

$V_{f}=8.15\frac{m}{s}$

$V_{o}=0\frac{m}{s}$

$t=5seconds$

Then, using the formula to isolate the acceleration, we have:

$V_{f}=V_{o}-g*t$

$V_{f}=V_{o}-g*t\\\\g*t=V_{o}-V_{f}\\\\g=\frac{V_{o}-V_{f}}{t}$

Now, substituting we have:

$g=\frac{V_{o}-V_{f}}{t}$

$g=\frac{0-8.15\frac{m}{s}}{5seconds}=-1.63\frac{m}{s^{2}}$

Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

$g=1.63\frac{m}{s^{2}}$

Hence, the correct option is the option D

$g=1.63\frac{m}{s^{2}}$

Have a nice day!

7 0

3 years ago

What is the area of the triangle below?

wlad13 [49]

The area of a triangle is a+b+c

5 0

3 years ago

Brainliest for a math answer

erastovalidia [21]

Question 5- is 9
question 6- is 9
question 7-is 4
question 8-is 21
Question 9-is 2
question 10-not sure sorry :(

Tell me if your right ;)

5 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f

Svetradugi [14.3K]

i) The given function is

$f(x)=\frac{3x-6}{5-2x}$

The domain is all real values except the ones that will make the denominator zero.

$5-2x=0$

$-2x=-5$

$x=2.5$

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

$5-2x=0$

$-2x=-5$

$x=2.5$

iii) If we equate the numerator to zero, we get;

$3x-6=0$

$3x=6$

This implies that;

$x=2$

iv) To find the y-intercept, we put x=0 into the given function to get;

$f(0)=\frac{3(0)-6}{5-2(0)}$ .

$f(0)=\frac{-6}{5}$ .

$f(0)=-\frac{6}{5}$ .

v)

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote is $y=-\frac{3}{2}$ .

vi) The function has no common factors that are at least linear.

The function has no holes in it.

vii) This rational function has no oblique asymptotes because it is a proper rational function.

3 0

3 years ago

The linear equation c = 0.1998s + 76.4520 models the number of calories, c, in a beef hot dog as a function of the amount of sod

Karolina [17]

Answer:

The slope of the linear equation is 0.1998, and it means that the calories in a beef hot dog is increasing with the rate of 0.1998 calories per milligram of sodium.

Step-by-step explanation:

Using y = mx + b, we know that m represents the slope.
Looking at the equation of c = 0.1998s + 76.4520, our m is equal to 0.1998.
This slope means that the rate is increasing by 0.1998 calories for every milligram of sodium.

6 0

3 years ago