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3 years ago

5m^{2}\sqrt{25m^{8}+15m^{6}+5m^{2}}

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

5 0

You can square the whole problem to cancel out the square root. Might make things easier.

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The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is decreasing at a rate of 5 i

solmaris [256]

Answer:

$V' = 900\pi$ $in^{3} /sec$

Step-by-step explanation:

V = $\frac{1}{3} \pi r^{2}h$

$V' = \frac{2\pi rh *r'}{3} + \frac{\pi r^{2} *h'}{3}$ (using differentiation product rule)

plug known values in for r, h, r', and h'

$V' = \frac{2\pi (10)(40)(4)}{3} + \frac{\pi (10^{2} )(-5)}{3}$

$V' = \frac{3200\pi }{3} - \frac{500\pi }{3} \\V' = \frac{2700\pi }{3} \\$

$V' = 900\pi$ $in^{3} /sec$

3 0

3 years ago

find the vertex, the equation and axis of symmetry, and the y-intercept of the graph of y=-3x^2-13x+3

stepladder [879]

Answer:

Vertex: (13/6,-133/12)

Axis of symmetry: x=13/6

y-intercept: y=3

Step-by-step explanation:

6 0

3 years ago

Rewrite the expression 14m-(5+8m)

DIA [1.3K]

Answer:5+6m

Step-by-step explanation:

8 0

4 years ago

Help!! what 2 numbers have a sum of -1 & multiply to make -12. I know the question is simple but I just can't work it out. P

Sholpan [36]

The answer is -4 and 3 because -4 + 3 = -1 and -4 × 3 = -12. I hope this helps!

8 0

4 years ago

Suppose the line of best fit for some data points has a slope of 4.915. If the mean of the x-coordinates of the data points is 1

aleksley [76]

The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For a line of best-fit, the y-intercept is given by:

$b = \overline{y} - m\overline{x}$

The parameters in this problem are given as follows:

$m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088$

Then:

$b = 10.088 - 4.915(14.347) = -60.428$

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0

2 years ago