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3 years ago

Simplify 3√p^4q^6r^5

Mathematics

1 answer:

jeka943 years ago

3 0

Answer:

3p^2q^3r^2√r

Step-by-step explanation:

3√p^4q^6r^5

= 3p^2q^3r^2√r

Hope that helps

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Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same numbe

olga_2 [115]

12x3=36 its that simple m8

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4 years ago

Write the equation in standard form for the circle with center (-3, -5) and radius 2

LenaWriter [7]

Answer:

see screenshot

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r² = (x - x-center)² + (y - y-center)²

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3 years ago

A square has sides 5 inches long. what is the approximate length of a diagonal of the square?

Nina [5.8K]

Answer:

Step-by-step explanation:

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3 years ago

A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner

frozen [14]

Answer:

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner $I_{corner}$ is:

$I_{corner} = \int\limits \int\limits_R (x^2+y^2) \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx$

where :

(a and b are the length and the breath of the rectangle respectively )

$I_{corner} = \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx$

$I_{corner} = \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx$

$I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}$

$I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]$

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Thus; the moment of inertia of the lamina about one corner is $I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

7 0

3 years ago

Can someone please explain this question

EleoNora [17]

Sure thing!

So if we look at the function, it is an exponential, meaning that it is a number to the power of x
The graph can be described by the equation

y = a^x

If we look at the graph, one of the points on the line is (2, 16), the x value is 2 and the y value is 16

If we consider this along with the function for the graph, we can say that

16 = a^2

Just solve this for a and you’ll have your answer :)

5 0

2 years ago

Read 2 more answers