Answer:
Since we have given that
Surface area of sphere = 576 pi cm. sq.
As we know the formula,
Surface area of sphere is given by
So, the volume of a sphere would be
Hence, the required volume is 7241.14 cm³.
Step-by-step explanation:
Answer:
45,000
Step-by-step explanation:
You should divide 20 by 600 to see how many miles he would run per mile
and you take 30 x 1,500 to get your answer
Answer:
The last answer; 12.
Step-by-step explanation:
In order to solve this, use substitution. Since it gives you an equation for y, substitute that equation in the other formula as y. This will give you:
Then simplify:
Since 6x - 6x cancels out, you are left with 12.

<h3>
Answer: B) the function g(x) has a larger slope</h3>
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Explanation:
The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.
The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula
m = (y2-y1)/(x2-x1)
to get the same result.
Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).
Answer:
Step-by-step explanation:
6). Equation of the line has been given as,
4x + 9y = -9
By converting this equation into y-intercept form,
9y = -4x - 9


By comparing this equation with y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the equation (m) = 
y-intercept (b) = -1
8). Equation of the line is,
5x + 3y = 12
3y = -5x + 12


Slope of the line = 
y-intercept = 4