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Elden [556K]
3 years ago
10

Dan has twice as many stickers as Cam does. If Dan gives Cam 15 of his stickers he will still have 22 more than Cam. How many st

ickers does each boy have?
Mathematics
2 answers:
Solnce55 [7]3 years ago
7 0
Cam has 37. Dan has 59.

Hope this helps!
iragen [17]3 years ago
7 0
Dan has 2x stickers. Cam has x stickers.
2x-15=x+22
Collect like terms
x-15=22
x=37
Cam has 37 stickers and Dan has 74 stickers as Dan has two times more stickers as Cam.
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Ierofanga [76]

Answer:

Step-by-step explanation:

So this is multiplication

24.5 times 20 in dollars is $4.90 if we round it than it will be 5 dollars

6 0
2 years ago
For <img src="https://tex.z-dn.net/?f=e%5E%7B-x%5E2%2F2%7D" id="TexFormula1" title="e^{-x^2/2}" alt="e^{-x^2/2}" align="absmiddl
nevsk [136]
I'm assuming you're talking about the indefinite integral

\displaystyle\int e^{-x^2/2}\,\mathrm dx

and that your question is whether the substitution u=\dfrac x{\sqrt2} would work. Well, let's check it out:

u=\dfrac x{\sqrt2}\implies\mathrm du=\dfrac{\mathrm dx}{\sqrt2}
\implies\displaystyle\int e^{-x^2/2}\,\mathrm dx=\sqrt2\int e^{-(\sqrt2\,u)^2/2}\,\mathrm du
=\displaystyle\sqrt2\int e^{-u^2}\,\mathrm du

which essentially brings us to back to where we started. (The substitution only served to remove the scale factor in the exponent.)

What if we tried u=\sqrt t next? Then \mathrm du=\dfrac{\mathrm dt}{2\sqrt t}, giving

=\displaystyle\frac1{\sqrt2}\int \frac{e^{-(\sqrt t)^2}}{\sqrt t}\,\mathrm dt=\frac1{\sqrt2}\int\frac{e^{-t}}{\sqrt t}\,\mathrm dt

Next you may be tempted to try to integrate this by parts, but that will get you nowhere.

So how to deal with this integral? The answer lies in what's called the "error function" defined as

\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^xe^{-t^2}\,\mathrm dt

By the fundamental theorem of calculus, taking the derivative of both sides yields

\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}

and so the antiderivative would be

\displaystyle\int e^{-x^2/2}\,\mathrm dx=\sqrt{\frac\pi2}\mathrm{erf}\left(\frac x{\sqrt2}\right)

The takeaway here is that a new function (i.e. not some combination of simpler functions like regular exponential, logarithmic, periodic, or polynomial functions) is needed to capture the antiderivative.
3 0
3 years ago
A volunteer called 280 homes to ask questions about an upcoming election. Of these calls, 92 were not answered. Based on those r
vladimir2022 [97]

Hi there! :) The answer of your question is 0.32 or 32%. I got the answer because I divided 92/280=0.32. I hope this is the right answer.


Hope I helped! :D

5 0
3 years ago
How many sections are in a coordinate graph?
givi [52]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
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choose the standard form of the equation of the circle with radius 5 √ 3 centered at( -6, 2) please help ​
Ilia_Sergeevich [38]

Answer:

(x + 6)² + (y - 2)² = 75

Step-by-step explanation:

The equation of a circle in standard form is

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where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, 2) and r = 5\sqrt{3}, hence

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(x + 6)² + (y - 2)² = 75

8 0
3 years ago
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