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3 years ago

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Several friends each had 2/5 of a bag of peanuts left over from the baseball game. They realize that they could have bought 2 fe

wer bags of peanuts between them. How many friends went to the game?

1 answer:

pishuonlain [190]3 years ago

6 0

..................................

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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

MissTica

So hmm the first term is -2

and if we divide one term by the term before it, we'd get the "common ratio" "r"

so hmm say -32/8 that gives us -4, so r = -4

thus $\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}$

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If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?

Tatiana [17]

Answer: y=12

Step-by-step explanation:

the y-intercept of the graph when : x=0

f(0) =4(0)+12 = 12

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3 years ago

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What is $65.04 times 12 ?

Flura [38]

$780.48 is the answer

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What is the y intercept when the slope or date of change is 6

Vilka [71]

The y intercept is 0

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Find the unit vector in the direction of v=(7,-3).<br> (enter exact answers with square roots)

navik [9.2K]

Answer:

$\binom{ \frac{7 \sqrt{58} }{58} }{ \frac{ - 3 \sqrt{58} }{58} }$

Step-by-step explanation:

First, find the magnitude of the vector:

$|v| = \sqrt{( {(7)}^{2} + {( - 3)}^{2}) } \\ = \sqrt{(49 + 9)} \\ = \sqrt{58}$

Then, divide each component of the vector by the magnitude to get the unit vector and rationalise:

$unit \: vector = \binom{ \frac{7}{ \sqrt{58} } }{ \frac{ - 3}{ \sqrt{58} } } \\ = \binom{ \frac{7 \sqrt{58} }{58} }{ \frac{ - 3 \sqrt{58} }{58} }$

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3 years ago