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Anarel [89]
3 years ago
14

Sentences using the words chortled and phenomenon

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0
The girl chortled at the phenomenon going on between the dog and the cat.

(Hope that's ok, this is my first time answering a question!)

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The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point
Softa [21]
y=\dfrac{e^{2x}}{4+3e^x}
\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}
\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}

Stationary points occur where the derivative is zero. The denominator is positive for all x, so we only need to worry about the numerator.

8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0

e^{2x}>0 for all x, so we can divide through:

8+3e^x=0\implies e^x=-\dfrac83

But e^x>0 for all x\in\mathbb R, so this function has no stationary points...

I suspect there may be a typo in the question.
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3 years ago
Apply The axes in the coordinate grid at the right represent the walls of a bedroom. One corner of the room is at the origin. Wh
Novosadov [1.4K]

Answer: 11.2 because I know trust me. I did a worksheet with this same question and got 11.2 and it was correct.

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3 years ago
6(a)If the gradient of the straight line
tensa zangetsu [6.8K]

Answer:

(i) k =1

(ii) y-intercept is 7

Step-by-step explanation:

<u>Given line:</u>

  • ky = kx + x + 7

<u>Divide all terms by k to get slope-intercept form of the line</u>

  • y = (1 + 1/k)x + 7/k

<u>Since the gradient (slope) of the line is 2:</u>

  • 1 + 1/k = 2
  • 1/k = 1
  • k = 1

<u>The equation is now:</u>

  • y = 2x + 7

<u>y - intercept is found when x = 0</u>

  • x = 0 ⇒
  • y = 2*0 + 7
  • y = 7

5 0
3 years ago
If △ J K L ≅ △ M N O and △ M N O ≅ △ P Q R , which of the following statements must be true?
melomori [17]

Answer:

Δ JKL ≅ ΔPQR

Step-by-step explanation:

Hopefully this was one of the following statements. You didn't post the statements

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2 years ago
Which graph represents the solution to the system of inequalities?
Gre4nikov [31]

IDK sorry I'm really sorry

7 0
3 years ago
Read 2 more answers
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