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2 years ago

What is the smallest number with three different prime factors which is not a multiple of 3 or 5?

Mathematics

1 answer:

weeeeeb [17]2 years ago

4 0

Primes are
2,3,5,7,11,13...
ok, so it must be multiplule of 2,7 and 11
2*7*11=154

answer is 154

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Find the exact value of the indicated trigonometric functions for the acute angle a:

amid [387]

Tan=24/10 ≈ 2.4

using Pythagoras theorem

x²=(24)²+(10)²

x²=576+100

x²=57600

x=√57600 => 240

Therefore

sina=24/240 => 0.1

cota=1/tana => 1/(24/10) => 10/24

7 0

2 years ago

Express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4

zlopas [31]

Answer:

$\frac{1}{x^2}$ + $\frac{y^2}{x^4}$

Step-by-step explanation:

$\frac{x^2 + y^2}{x^4}$ = $\frac{x^2}{x^4}$ + $\frac{y^2}{x^4}$ = $\frac{1}{x^2}$ + $\frac{y^2}{x^4}$

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2 years ago

The solutions to the inequality y > - 3x + 2

bonufazy [111]

not enough information to solve it as there are two unknowns in one inequality

4 0

2 years ago

Find the volume of the following solid. The solid between the cylinder f(x,y)equals=e Superscript negative xe−x and the region

PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy$

Now evaluate,

$\int_{0}^{ln(6)}e^{-x}dx$

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

$\int_{-6}^{6}\frac{5}{6}dy = 10$

So,

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10$

7 0

2 years ago

Barry got a samll sandwich for lunch and ate 1/2 of his sandwich. Jonah got a large sandwich and ate 1/2 of his sandwich. Did Jo

xeze [42]

No, they did not eat the same amount. Barry ate less because his sandwich was smaller, so there would be a smaller half. Jonah ate more because his sandwich was bigger, so he would have eaten a bigger half.

8 0

3 years ago