<h3>
Answer: 18pi</h3>
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Explanation:
The area 81pi square meters leads to the radius 9 meters
Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.
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Once you know the radius, you can determine the circumference C
C = 2*pi*r
C = 2*pi*9
C = 2*9*pi
C = 18pi
The circumference is the perimeter, or distance, around the circle.
Answer:
D
Step-by-step explanation:
The range is all of the y values that make a function true. Our graph here starts at y=-2 and then goes up for infinity. This means the range is y ≥ -2. The domain is [0, ∞) because our x values start at 0 and go to infinity. This means the domain is restricted so A is not true, B is not true because the graph does not exist at x = -2.
The estimate would be 1200.
We will set up a proportion for this. 10 out of 60 of the sample were tagged, so that is the first ratio. The 200 that were tagged would be in the numerator of the second ratio (10 was the portion tagged, and 200 is the portion tagged, so they both go on top). We do not know the total number so we use a variable:
10/60 = x/200
Cross multiply:
10*x = 60*200
10x = 12000
Divide both sides by 10:
10x/10 = 12000/10
x = 1200
Answer:
x = 3
Step-by-step explanation:
It should NOT be "fight of the origin", rather "right of the origin".
Now let's move on to solve the question...
The x-intercept is found by setting the function equal to 0. Thus:
0 = x^3 - 9x
<em>Let's solve this using algebra:</em>
<em>
</em>
<em />
<em>Hence, x = -3 and x = 3</em>
<em />
The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.
Answer:
4
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.
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