Answer:
the number of photocopies made
Step-by-step explanation:
The wording "a function of <em>the number of photocopies made</em>" tells you that "the number of photocopies made" is the independent variable.
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The wording "y is a function of x" means x is the independent variable.
Answer:
<em>Explicación más abajo</em>
Step-by-step explanation:
Integración Indefinida
La integral

Se resuelve con el cambio de variables:
t=arcsen(x)
Una vez hechos los cambios, la integral se resuelve en función de t:

Hay que devolver los cambios para mostrarla en función de x.
El cambio de variables también se puede escribir:
x=sen(t)
Recordando que

Entonces:

Devolviendo los cambios:

Es la respuesta correcta
Answer:
The slope of this is -3
Step-by-step explanation:
slope = change in y/ change in x or rise/run!!!
you move 3 down and 1 to the right. So basically -3/1 which can be simplified to -3!!!!
Answer:
Third option.
Step-by-step explanation:
You need to cube both sides of the equation. Remember the Power of a power property:

![\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](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%5C%5C%5C%5C%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%29%5E3%3D%283x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%29%5E3%5C%5C%5C%5C162x%5Ecy%5E5%3D27x%5E6y%5E36y%5Ed)
According to the Product of powers property:

Then. simplifying you get:

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:

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:

Answer:
Step-by-step explanation:
Direct variation problems can easily be solved with proportions, namely:
and cross multiply to get
2y = 20 so
y = 10