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4 years ago

How to turn 8/20 into a percent

Mathematics

2 answers:

umka2103 [35]4 years ago

5 0

Percent means per 100. Set up a proportion like so.

8/20= x/100
20*5=188
8*5=40

40=x

Final answer: 40%

Katarina [22]4 years ago

3 0

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Help asap please!! thank you

Pavlova-9 [17]

Answer: The third option

Step-by-step explanation:

(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.

to find the area of a semi circle the formula is: (1/2) π ( $r^{2}$ )

The radius is 2.5 because the diameter is 5, and the radius is half the diameter.

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3 years ago

Can you define f(0, 0) = c for some c that extends f(x, y) to be continuous at (0, 0)? If so, for what value of c? If not, expla

Ahat [919]

(i) Yes. Simplify $f(x,y)$ .

$\displaystyle \frac{x^2 - x^2y^2 + y^2}{x^2 + y^2} = 1 - \frac{x^2y^2}{x^2 + y^2}$

Now compute the limit by converting to polar coordinates.

$\displaystyle \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = \lim_{r\to0} \frac{r^4 \cos^2(\theta) \sin^2(\theta)}{r^2} = 0$

This tells us

$\displaystyle \lim_{(x,y)\to(0,0)} f(x,y) = 1$

so we can define $f(0,0)=1$ to make the function continuous at the origin.

Alternatively, we have

$\dfrac{x^2y^2}{x^2+y^2} \le \dfrac{x^4 + 2x^2y^2 + y^4}{x^2 + y^2} = \dfrac{(x^2+y^2)^2}{x^2+y^2} = x^2 + y^2$

and

$\dfrac{x^2y^2}{x^2+y^2} \ge 0 \ge -x^2 - y^2$

Now,

$\displaystyle \lim_{(x,y)\to(0,0)} -(x^2+y^2) = 0$

$\displaystyle \lim_{(x,y)\to(0,0)} (x^2+y^2) = 0$

so by the squeeze theorem,

$\displaystyle 0 \le \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} \le 0 \implies \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = 0$

and $f(x,y)$ approaches 1 as we approach the origin.

(ii) No. Expand the fraction.

$\displaystyle \frac{x^2 + y^3}{xy} = \frac xy + \frac{y^2}x$

$f(0,y)$ and $f(x,0)$ are undefined, so there is no way to make $f(x,y)$ continuous at (0, 0).

(iii) No. Similarly,

$\dfrac{x^2 + y}y = \dfrac{x^2}y + 1$

is undefined when $y=0$ .

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2 years ago

Using the graph , determine the coordinates of the vertex of the parabola

aivan3 [116]

Answer:

(-4,-4)

Step-by-step explanation:

Delta math

3 0

3 years ago

Will mark Branliest! Need help ASAP

Neko [114]

Answer:

12/2

Step-by-step explanation:

An integer is neither a fraction nor a decimal, but in this case you can simplify 12/2 to 6 which is a whole number making it an integer. Hope you found this helpful!

8 0

3 years ago

Read 2 more answers

How do you know when to add numbers? what is the sign rule

VARVARA [1.3K]

The most familiar case is that where you see a " + " sign between two numbers; that's an indication to add the two numbers (or terms) together.

Also, the instruction, "sum up the following," is a command to find the sum of all the numbers that follow.

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3 years ago