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2 years ago

What degree is the monomial x3?

Mathematics

1 answer:

vichka [17]2 years ago

8 0

Answer: Degree = 3

Explanation:

The degree of any single variable monomial is simply the exponent itself.

For stuff like $x^3y^5$ , you'll need to add the exponents to determine the degree.

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suter [353]

Answer:

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3 years ago

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If a simple harmonic motion is described by x = 3 cos(πt), starting from t = 0 s, what is the first occurrence of a value of t f

poizon [28]

Answer:

The first occurence of t for which x = 0 is t = 0.5.

Step-by-step explanation:

The harmonic motion is described by the following equation.

$x(t) = 3\cos{\pi t}$

What is the first occurrence of a value of t for which x = 0?

This is t when $x(t) = 0$ . So

$x(t) = 3\cos{\pi t}$

$3\cos{\pi t} = 0$

$\cos{\pi t} = \frac{0}{3}$

$\cos{\pi t} = 0$

The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.

$\arccos{\cos{\pi t}} = \arccos{0}$

$\pi t = \frac{\pi}{2}$

$t = \frac{\pi}{2 \pi}$

$t = \frac{1}{2}$

$t = 0.5$

The first occurence of t for which x = 0 is t = 0.5.

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3 years ago

What is this answer to this math question

aliina [53]

Hey there Kia!

$\left[\begin{array}{ccc}40/2=20 \ ; \ 19/2=9.5\end{array}\right]$

Your answer should look like the following.

$\left[\begin{array}{ccc} \frac{19}{20y}= \frac{9.5}{40y^3} \end{array}\right]$

Hope this helps you!

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3 years ago