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2 years ago

using what you know about percents,explain why a commercial that says"80% of dentists use this toothpaste"might be misleading?

1 answer:

6 0

There are many dentists in the world and it wold be hard to count the amount of dentists that use the toothpaste. Also, there are many brands of toothpaste and it would would be doubtful that “80%” of dentists would use the same one.

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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

2 years ago

Write the expression in complete factored<br> form.<br> 5(a - 5) + a(a -5) =

balu736 [363]

Answer:

a^2 - 25

Step-by-step explanation:

5(a-5) turns into 5a - 25

a(a-5) turns into a^2 - 5a

added together, it's a^2 - 25

8 0

2 years ago

Is it possible to have a playground area made from 70 yards of fencing with an area of 324 square yards? Explain with

cricket20 [7]

Answer:

Yes: The answer would be 113.04 cubic feet

7 0

2 years ago

Ivan bought a box of macadamia nuts to bring home from his trip.

Agata [3.3K]

Answer: B. 140 cubic inches.

Step-by-step explanation:

The question is asking you to find the volume of the rectangular prism.

You can find this by using this formula:

$V = w*h*l$

Where w is the width, h is the height, and l is the length.

Substitute the sides of the rectangular prism into the equation:

$V = 3.5 * 10 * 4\\\\V = 140$

The volume of the prism is 140 cubic inches.

The correct answer is B.

4 0

2 years ago

What is 1/5 + 1/4 + 1/10

ivolga24 [154]

Answer:0.55

Step-by-step explanation:

1/5 + 1/4 + 1/10

add them all together

adds up to 0.55

8 0

2 years ago

Read 2 more answers