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inna [77]
3 years ago
8

Stephanie sold half of her comic books and then bought five more. She now has 23. How many comic books did she start with?

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

9 comic books

Step-by-step explanation:

23 - 5 = 18

18/2 = 9 comic books

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Johnny has 1 apple left.
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3 years ago
Integrate xe^(-x^2).
Gekata [30.6K]
You can easily integrate it using a simple substitution:

\large\begin{array}{l} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle\int\!\left(-\frac{1}{2}\right)\cdot (-2)x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!\,e^{-x^2}\cdot (-2x)\,dx\qquad\quad(i)}\\\\ \end{array}


\large\begin{array}{l} \textsf{Let}\\\\ \mathsf{-x^2=u,}\quad\textsf{then}\quad\mathsf{-2x\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!e^u\,du}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^u+C}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^{-2x}+C}\\\\\\ \boxed{\begin{array}{c} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx=-\,\frac{1}{2}\,e^{-x^2}+C} \end{array}}\qquad\checkmark \end{array}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2159730


\large\textsf{I hope it helps. :-)}


Tags: <em>integrate substitution indefinite integral exponential composite calculus</em>

7 0
4 years ago
A(-2,-2) B(-1,2) C(2,1) / A (-4,-4) (-2,4) C(4,2)
Vitek1552 [10]

Answer:

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Step-by-step explanation

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8 0
3 years ago
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C. Its sides are 6 times as long as that of the original square is the answer.

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Dilation is a kind of transformation which modifies the image size. The scale factor, otherwise called as scalar factor, means how much smaller or larger the image is. Whether the image is expanding or shrinking, the shape is retained.

In the process of dilation, we have to multiply the proportions of original image by the scale factor to find the size of an image. If the scalar factor is saying 6, then the image is inflated so its sizes are 6 times the original image.

8 0
4 years ago
If 15 baseballs weigh 75 ounces, how many baseballs weigh 15 ounces?
Ira Lisetskai [31]
75/15 = 5

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3 balls are 15 ounces
8 0
3 years ago
Read 2 more answers
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