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Elena L [17]
3 years ago
10

Prove that sin(n) diverges

Mathematics
1 answer:
Ivahew [28]3 years ago
8 0
If you look at the graph of sin(n), you can notice that it oscillates every kpi/2 when k is odd. This oscillation proves that sin(n) diverges.
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How many people were in the sample?<br><br><br><br> 45<br> 90<br> 5<br> 10
Nina [5.8K]
10

The x’s represent just the people, and because the bottom line only represents time it doesn’t affect the amount of people.
4 0
2 years ago
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Write the slip-intercept form of the equation of the line described
kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

4 0
3 years ago
Suppose i pick a jelly bean at random from a box containing two red and ten blue ones. i record the color and put the jelly bean
gtnhenbr [62]
The probability of picking a blue jelly bean is 10/12=0.833, since there are 10 blue and 12 jelly beans in total.

Each time the probability of picking blue is the same, since put back in the box whatever jelly bean we pick

P(blue, blue, blue) = P(blue) × P(blue) × P(blue) = 0.833×0.833×0.833=0.579


Answer: 0.579
8 0
3 years ago
3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5​
kaheart [24]

Answer:

42

Step-by-step explanation:

168 factors into

2•2•2•3•7

two of the 2's make a perfect square

(2•2)•2•3•7

   2²•2•3•7

as none of the product of the remaining factors makes a perfect square

2•3 = 6,  2•7 = 14,  3•7 = 21

we need to multiply the remaining factors together to find another perfect square

   2²•(2•3•7)²

2•3•7 = 42

42(168) = 7056 = 84²

5 0
2 years ago
The Lions won the 16 games last year. This year the Lions won 20 games. What is the percent of increase in the number of games t
Sever21 [200]
Percent of Change:
Difference/Original
(20-16)/16 = 4/16 = 1/4 = 25% increase
7 0
2 years ago
Read 2 more answers
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