The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?

Katherine conducts a survey at her school to determine the student's favorite sport. Which sampling method would best produce a

Neporo4naja [7]

Answer:

A( i believe

hope this helps

4 0

3 years ago

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What is the answer for this algebra question 4(2n-5)=3n+10

miss Akunina [59]

$4(2n-5)=3n+10\\\\
8n-20=3n+10\ \ \ |Subtract\ 3n\\\\
5n-20=10\ \ \ Add\ 20\\\\
5n=30\ \ \ |Divide\ by\ 5\\\\
n=\frac{30}{5}=6\\\\Solution\ is\ n=6.$

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3 years ago

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Find all solutions of each equation on the interval 0 ≤ x < 2π.

Korvikt [17]

Answer:

$x = 0$ or $x = \pi$ .

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

$\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}$ .

$\displaystyle \sec{x} = \frac{1}{\cos{x}}$ .

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, $\sin^{2}{x} = 1 - \cos^{2}{x}$ . Therefore, for the square of tangents,

$\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}$ .

This equation will thus become:

$\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2$ .

To simplify the calculations, replace all $\cos^{2}{x}$ with another variable. For example, let $u = \cos^{2}{x}$ . Keep in mind that $0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1$ .