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3 years ago

32 + (7 − 2) ⋅ 4 − 6 over 3

Mathematics

1 answer:

serious [3.7K]3 years ago

3 0

32 + (7 - 2) 4 -6/3

32 + 5 * 4 - 2

32 + 20 - 2

52 - 2

= 50

I hope that's help:0

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Find the six trigonometric function values for angle ∅ where its adjacent side is -9 and its hypotenuse is 41. (Theta is located

arsen [322]

Check the picture below.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{41^2-(-9)^2}=b\implies \sqrt{1681-81}=b\\\\\\ \sqrt{1600}=b\implies 40=b\\\\
-------------------------------$

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{hypotenuse}{41}}\qquad~~ cos(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{hypotenuse}{41}}\qquad~~ tan(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{adjacent}{-9}}
\\\\\\
csc(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{opposite}{40}}\qquad ~~sec(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{adjacent}{-9}}\qquad ~~cot(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{opposite}{40}}$

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3 years ago

<img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28

Nataliya [291]

Assuming you mean

$5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t$

This ODE is linear in $y$ , and you can already contract the left hand side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t$

Integrating both sides with respect to $t$ yields

$5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt$
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$y=\dfrac1{15}\sin^2t+C\csc t$

Given that $y\left(\dfrac\pi2\right)=9$ , we have

$9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2$
$9=\dfrac1{15}+C$
$C=\dfrac{134}{15}$

so that the particular solution over the interval is

$y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t$

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3 years ago

Find the point of diminishing returns (x comma y )for the function R(x), where R(x) represents revenue (in thousands of doll

riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The point of diminishing returns (x , y ) is (11, 21462)

Step-by-step explanation:

From the question we are told that

The function is $R(x) = 10,000 -x^3 - 33x^2 + 800x , \ \ 0 \le x \le 20$

Here R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars).

Now differentiating R(x) we have

$R'(x) = -3x^2 +66x + 800$

Finding the second derivative of R(x)

$R''(x) = -6x +66$

at inflection point $R''(x) = 0$

So $-6x +66 = 0$

=> $x= 11$

substituting value of x into R(x)

$R(x) = 10,000 -(11)^3 - 33(11)^2 + 800(11) ,$

$R(x) = 21462$

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

(11, 21462)

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3 years ago

What is the value of the expression (–5) -3 but the -3 is an exponent.

Vanyuwa [196]

Answer:

Answer: -0.008

Step-by-step explanation:

Hope this helped!

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3 years ago

A direct variation function contains the points (2,14) and (4,38) which equation represents the function

Dmitry [639]

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