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3 years ago

Is C=pi d partial variation or direct or neither

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

This is a direct variation

C = pi*d

pi is a constant and it does thru (0,0)

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Write an exponential function in the form y=ab^(x) that goes through points (0,4) and (6, 2916)

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Answer:

y=4(3)^x

Step-by-step explanation:

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2 years ago

Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely wit

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One side of a triangle is 13 feet shorter than the second side. The third side is 1 feet longer than the second side. The perime

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Answer:

let second side be x

then first side = x-13

third side= x+1

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3 years ago

A number is multiplied by 4 and then 12 is added. the result is 36. what is the number?

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Answer:

Step-by-step explanation:

4 * x + 12= 36

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2 years ago

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Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

Flura [38]

Answer:

The value to the given expression is 8

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3$

To find the value of the given expression:

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}$

( By using the property ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}$

( By using the property $(ab)^m=a^mb^m$ )

$=\frac{(10^{12})(5^6)}{(10^9)(5^9)}$

( By using the property $(a^m)^n=a^{mn}$ )

$=(10^{12})(5^6)(10^{-9})(5^{-9})$

( By using the property $\frac{1}{a^m}=a^{-m}$ )

$=(10^{12-9})(5^{6-9})$ (By using the property $a^m.b^n=a^{m+n}$ )

$=(10^3)(5^{-3})$

$=\frac{10^3}{5^3}$ ( By using the property $a^{-m}=\frac{1}{a^m}$ )

$=\frac{1000}{125}$

$=8$

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Therefore the value to the given expression is 8

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3 years ago

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