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3 years ago

The circumference of a circle is 361 cm. What is the radius of the circle? A 18 cm B 72 cm C 34 cm D 36 cm

Mathematics

1 answer:

solniwko [45]3 years ago

7 0

The answer is 57.45cm

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Which rule can be used to describe the growth of the y vales of the function y=12^x over each interval from x=-1 to x=3?

valentinak56 [21]

The function is $f(x)=12^x$ .

This means that as we get from 1 to 2, we have the following values:

$f(1)=12^1=12$ , and $f(2)=12^2=12\cdot12$ .

Similarly, if we check x=3, we have $f(3)=12^3=12\cdot12\cdot12$ .

We can see that as x changes by 1 (with greater values), y increases by a factor of 12.

Answer: multiply by 12

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3 years ago

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2 years ago

Let f(x) = −4x + 7 and g(x) = 10x − 6. Find f(g(x)).

Neporo4naja [7]

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3 years ago

What values of c and d make the equation true?

saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

$(a^m)^n=a^{mn$

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d$

According to the Product of powers property:

$(a^m)(a^n)=a^{(m+n)$

Then. simplifying you get:

$162x^cy^5=162x^6y^{(3+d)}$

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

$c=6$

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

$3+d=5\\d=5-3\\d=2$

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3 years ago

The circumference of a circle is 361 cm. What is the radius of the circle? A 18 cm B 72 cm C 34 cm D 36 cm​

The circumference of a circle is 361 cm. What is the radius of the circle? A 18 cm B 72 cm C 34 cm D 36 cm