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2 years ago

5

Peter has changed his diet to eat healthier. 2/3 of his meals are gluten free and of those gluten free meals 1/2 are vegan. How

much of his total diet is gluten free and vegan?

1 answer:

vfiekz [6]2 years ago

4 0

1 1/2 of his total diet in gluten free and vegan

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A bag contains 6 blue balls, 3 green balls and 3 yellow balls. What is the probability of choosing one blue ball and then a yell

EastWind [94]

Prob(first ball being blue) = 6 / (6 + 3 + 3) = 6/12 = 1/2
Prob ( picking a yellow ball) = 3 /12 = 1/4

As the 2 events are independent the probabilities are multiplied
So the answer is 1/2 * 1/4 = 1/8

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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

nasty-shy [4]

Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

$\frac{x}{3} = \sin(2y)$

$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

is

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

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3 years ago

Please help me this Is due

sergiy2304 [10]

Here’s the answers hope this helps.

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2 years ago

Pls help i really need it

Alex Ar [27]

Answer:

.................

Step-by-step explanation:

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I need help again! Question below!

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Answer:

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Step-by-step explanation:

If each space has an area of 5, we just have to multiply by 4 since there are 4 spaces.

4(5)=20

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