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Oduvanchick [21]
3 years ago
11

Find each percent of change. round to the nearest whole percent if necessary. state whether the percent of change is an increase

or a decrease original: 150 new: 175 how much did the price change?
Mathematics
1 answer:
laila [671]3 years ago
6 0
Increase. 85% increase. The price changed by 25
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Hiiii.. please help me with this limit question ​
Alenkasestr [34]

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0.  So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

8 0
3 years ago
When 12 is divided by 3/4
anastassius [24]

Answer: 2 Answers By Expert Tutors

The rule for division by a fraction is "change to multiplication by the reciprocal." So you want(4/3)(12) which is 4(4) = 16

Step-by-step explanation:

4 0
3 years ago
1 +100000 what is the best answer​
serg [7]

Answer:

10001 is the answer to your Question

5 0
3 years ago
Find the distance between the points (-3,2) and (4,-5)
alexandr1967 [171]
You have to use the distance formula. sqrt((x2-x1)^2+(y2-y1)^2) So sqrt((4+3)^2+(-5-2)^2). sqrt(49+49). Sqrt(98). 9.89

6 0
3 years ago
I need this answer please
julsineya [31]

Answer:

3a+6b = 45

Multiply by 2

6a +12b = 90.....(1)

2a- 2b = -12

Multiply by 3

6a - 6b = -36 .....(2)

(1)-(2)

18b = 126

b= 7

3a+6b = 45

3a + 6(7) = 45

3a +42 = 45

3a = 3

a= 1

(a,b) = ( 1,7)

8 0
3 years ago
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