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Vladimir79 [104]
3 years ago
6

15. The circumference of a circle is Ccentimeters. The diameter of the circle is 13

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

The answer is 6

Step-by-step explanation:

The circumstance of a circle is given by the formula

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The original price of a shirt is $25, and it’s on sale for 20% off the original price. To determine the sale price of the shirt,
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Answer:

yes

Step-by-step explanation:

25×.2=5

so the shirt is $5 off

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Someone please explain this to me, thank you.<br><br> -63 / (-9) =
tangare [24]
Since they're both negative the answer is 7
7 0
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Suppose f is a function of one variable that has a continuous second derivative. Show that for any constants a and b, the functi
salantis [7]

Answer:

We can find the solution using chain rule,

For instance, if u(x,y) = f(ax+by), then

u_{x}(x,y) = a f^{'} (ax+by)  which represents derivative of x with respect to x

and then derivative of u_{x}(x,y) with respect to y is

u_{xy}(x,y) = (ab)^2 (f^{''} (ax+by))^2,  

Now, the derivative of u_{x}(x,y) with respect to x, which is the second derivative, which is

u_{xx}(x,y) = a^2 f^{''} (ax+by)

and the derivative u_{y}(x,y) and   u_{yy}(x,y) are

u_{y}(x,y) = b f^{'} (ax+by),

u_{yy}(x,y) = b^2 f^{''} (ax+by)

Finally, the solution of PDE is

u_{xx}(x,y) u_{yy}(x,y) - u_{xy} ^2 (x,y)

= (a^2 f^{''} (ax+by)) (b^2 f^{''} (ax+by)) - (ab)^2 (f^{''} (ax+by))^2

= (ab)^2 (f^{''} (ax+by))^2) - (ab)^2 (f^{''} (ax+by))^2

= 0,

As the PDE is equal to 0, it means the function u(x,y) = f(ax+by) is the solution of the given PDE.

6 0
4 years ago
(√5x+11 -4)(√5x+11 +4)
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Answer:

5x^{2}+49.193496x+105

Step-by-step explanation:

7 0
3 years ago
c. Using a standard deck of 52 cards, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually
dybincka [34]

Answer:

True

Step-by-step explanation:

If two events X and Y are mutually exclusive,

Then,

P(X∪Y) = P(X) + P(Y)

Let A represents the event of a diamond card and B represent the event of a heart card,

We know that,

In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )

That is, those cards which are heart can not be diamond card,

⇒ A ∩ B = ∅

⇒ P(A∩B) = 0

Since, P(A∪B) = P(A) + P(B) - P(A∩B)

⇒ P(A∪B) = P(A) + P(B)

By the above statement,

Events A and B are mutually exclusive,

Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.

4 0
4 years ago
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