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3 years ago

2x = 50 4x + 3x = 1/6 + 45 = 1.60 * 45.47 =

Mathematics

1 answer:

posledela3 years ago

3 0

Answer:

1. x = 25

2. Simplified is 7x

3. $\frac{271}{6} , 45.166666, 45\frac{1}{6}$

4. 72.752

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If 25 pencils cost $12 find the unit rate per pencil

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Answer:

$12/25 pencils= $0.48 per pencil

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3 years ago

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The ratio of boys to girls in a group is 5:3. If there are 24 more boys than girls, work out how many girls there are

Doss [256]

Answer:

Step-by-step explanation:

Let's call the # of boys and girls 5x and 3x respectively. We can write:

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Write an equation of cosine function with amplitude 2 and a period 4pi

Arisa [49]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now.. hmmm let's see, keeping in mind the template above

so, amplitude of 2, A=2, thus |A| = ±2, so, you can use either

and period of 4π, well, that simply means that

$\bf \cfrac{2\pi }{B}=4\pi \implies \cfrac{2\pi }{4\pi }=B\implies \cfrac{1}{2}=B\\\\
-----------------------------\\\\

\begin{array}{llll}
f(\theta)=&\pm 2cos&\left(\frac{1}{2}\theta \right)\\
&\ \uparrow &\ \uparrow \\
&A&B
\end{array}$

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4 years ago

6. If the set A = {-2, 1, 3), then the set A is a subset of the set of?

NeX [460]

Answer:

Step-by-step explanation:

We could invent set B: {-2, 1, 3, 5, 6, 10} and then correctly state tht set A is a subset of B, because {-2, 1, 3} is also found in A.

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3 years ago

In ∆ABC, which ratio equals cos C? A. B. C. D.

Bond [772]

SOH CAH TOA

CAH

Cosine = Adjacent / Hypotenuse

∆ABC, where lets say B is the right angle.

cos C = adjacent/hypotenuse = BC/AC

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3 years ago