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3 years ago

Which is the constant term of the algebraic expression -2x2 + 17 -15x + 7xy?

Mathematics

1 answer:

Over [174]3 years ago

5 0

17 is the constant term because it does not have any variables.

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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

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

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

3 years ago

Can someone help me find the slope

julia-pushkina [17]

The slope is rise over run so it would be -1/3

4 0

3 years ago

Y=x+2<br> y=-3x whats the answe

iren2701 [21]

Set the equations equal to each other
Subtract x from both sides
Divide both sides by -4
x=-1/2

8 0

3 years ago

Use the quadratic formula to find the solutions to the

nadezda [96]

Answer:

Step-by-step explanation:

The quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

where a is the coefficient of $x^2$ , b being the coefficient of $x$ and c being the constant.

Plug in the values:

$\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\cdot \:5}}{2\cdot \:2}$

$\frac{5\pm\sqrt{-15} }{4}$

Since $\sqrt{-15} =\sqrt{-1} \sqrt{15} =i \sqrt{15}$

The answer is:

$\frac{5\pm i \sqrt{15} }{4}$

6 0

3 years ago

Read 2 more answers

Find the circumference of the circle with the given area A. Use 3.14 for TI

djverab [1.8K]

Area = r^2 * 3.14
87.9/3.14 = around 28
Square root of 28 = 5.3
The radius is 5.3
Circumference: diameter * 3.14
5.3 + 5.3 = 10.6
10.6 * 3.14 = 33.3
The circumference is 33.3

4 0

2 years ago