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Serhud [2]
2 years ago
15

What is the probability that Sophie draws a heart and then rolls either a 4 or 6

Mathematics
1 answer:
jeka57 [31]2 years ago
4 0

Answer:

Step-by-step explanation:

1/12

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How to find the derivative of this function?
Lelechka [254]
\bf y=\cfrac{x^3-2x+1}{\sqrt{x}}\implies y=\cfrac{x^3-2x+1}{x^{\frac{1}{2}}}
\\\\\\
\cfrac{dy}{dx}=\stackrel{quotient~rule}{\cfrac{(3x^2-2)\sqrt{x}~~~-~~~(x^3-2x+1)\cdot \frac{1}{2}x^{-\frac{1}{2}}}{(\sqrt{x})^2}}
\\\\\\
\cfrac{dy}{dx}=\cfrac{(3x^2-2)\sqrt{x}~~~-~~~(x^3-2x+1)\cdot \frac{1}{2}\cdot \frac{1}{\sqrt{x}}}{x}
\\\\\\
\cfrac{dy}{dx}=\cfrac{(3x^2-2)\sqrt{x}~~~-~~~(x^3-2x+1)\cdot\frac{1}{2\sqrt{x}}}{x}

\bf \cfrac{dy}{dx}=\cfrac{(3x^2-2)\sqrt{x}~~~-~~~\cdot\frac{x^3-2x+1}{2\sqrt{x}}}{x}
\\\\\\
\cfrac{dy}{dx}=\cfrac{\frac{[(3x^2-2)\sqrt{x}](2\sqrt{x})~~-~~(x^3-2x+1)}{2\sqrt{x}}}{x}
\\\\\\
\cfrac{dy}{dx}=\cfrac{\frac{[(3x^2-2)2x]~~-~~(x^3-2x+1)}{2\sqrt{x}}}{x}
\implies 
\cfrac{dy}{dx}=\cfrac{\frac{[6x^3-4x]~~-~~(x^3-2x+1)}{2\sqrt{x}}}{x}

\bf \cfrac{dy}{dx}=\cfrac{\frac{6x^3-4x~~-~~x^3+2x-1}{2\sqrt{x}}}{x}\implies 
\cfrac{dy}{dx}=\cfrac{\frac{5x^3-2x-1}{2\sqrt{x}}}{x}
\\\\\\
\cfrac{dy}{dx}=\cfrac{5x^3-2x-1}{2x\sqrt{x}}

\bf \cfrac{dy}{dx}=\cfrac{5x^3-2x-1}{2x^1\cdot  x^{\frac{1}{2}}}\implies \cfrac{dy}{dx}=\cfrac{5x^3-2x-1}{2x^{1+\frac{1}{2}}}\\\\\\ \cfrac{dy}{dx}=\cfrac{5x^3-2x-1}{2x^{\frac{3}{2}}}
\implies
\cfrac{dy}{dx}=\cfrac{5x^3-2x-1}{2\sqrt{x^3}}
8 0
3 years ago
whats the answer to number ? Please help me, most understandable answer will be marked brainliest.!!!
Bingel [31]
30/4-3/4= 27/4

..........................
7 0
2 years ago
From a point 80 feet in front of a library, the angles of elevation to the base of a flagpole, and to the top of the flag are 22
ddd [48]

check the picture below.


\bf tan(22^o)=\cfrac{x}{80}\implies \boxed{80tan(22^o)=x}
\\\\[-0.35em]
~\dotfill\\\\
tan(43.5^o)=\cfrac{y+x}{80}\implies 80tan(43.5^o)=y+x\implies 80tan(43.5^o)-x=y
\\\\\\
80tan(43.5^o)-80tan(22^o)=y\implies 43.59506727037783689501 \approx y
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{rounded~up}{44=y}~\hfill


make sure your calculator is in Degree mode.

6 0
3 years ago
Read 2 more answers
Factor the expression using the Greatest common factor 27k-6................ And 5x +60y
Alexandra [31]
27k -6 is equal to 3(9k - 2 ) 
and 5x +60 is equal to 5(x + 12) :)))
i hope this is helpful
have a nice day 
8 0
3 years ago
If f(5)=<br> 3, write an ordered pair that must be on the graph of y = f(x + 1) + 2
vlabodo [156]

f(5) = 3 means (5,3) is on the graph of f.

On the new graph, y = f(x+1) + 2, what do the +1 and +2 do?

Things inside the function notation inpact the x-values, since that's where x sits.

This outside the f(x) notation impact the y-values, since those are done after you've evaluated the function.

"+1" on the inside shifts every point to the left 1 unit.  (Inside changes are almost always opposite from what it looks like it would do.)

"+2" on the outside will shift every point up by 2 units.

So what do you get if you take (5,3) and shift it left 1 and up 2?

8 0
2 years ago
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