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6 months ago

12

At a candy factory, butterscotch candies were packaged into bags of different sizes. Butterscotch candies per bag Stem | Leaf 5

3 4 79 N in N 6 1 888 1 5 7 How many bags had exactly 68 butterscotch candies? bags Submit

1 answer:

natulia [17]6 months ago

3 0

68 B candies

Stem leaf

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Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.

Hitman42 [59]

$\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\$

$\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}
$

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2 years ago

Help please For the following function, construct a table.

AysviL [449]

Answer:

See the attachment below.

Step-by-step explanation:

Best Regards!

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2 years ago

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel.

Naya [18.7K]

Answer:

[351]

Step-by-step explanation:

114 + 3 = 117. 117 x 3 = 351.

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2 years ago

The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreci

irina1246 [14]

Analyzing the given values and the given equation, we have the following:
A = $25,000
r = 0.11
t = 6

The equation has the form:
y = A (1-r)^t
Plugging in the given values into the equation,
y = $25,000 (1 - 0.11)^6
y = $25,000 (0.89)^6

Therefore, the answer is
A. y=25,000(.89)^6

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3 years ago

Read 2 more answers

Sara has $150 in her savings account. The amount in her account increases by %6 every year. If she does not put more money into

strojnjashka [21]

Answer:

$159

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the balance in the saving account

x is the number of years

a is the initial amount

r is the percent rate of change

we have

$a=\$150\\r=6\%=6/100=0.06$

substitute

$y=150(1+0.06)^x$

$y=150(1.06)^x$

For x= 1 year

substitute

$y=150(1.06)^1=\$159$

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3 years ago