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MatroZZZ [7]
3 years ago
13

Solve the following equation: lim x->0 sin3x/5x^3-4x.

Mathematics
1 answer:
goblinko [34]3 years ago
3 0
Usual limit of sin is sinX/X--->1, when X--->0

sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x=                    [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
   =(sin3x / 3x) . (3/5x^2- 4)
finally lim  sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
                 x----->0            x---->0
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The Candy Store is having a 30% off sale. Emma is buying candy worth $7.50. Who much will the Candy worth after the discount? Pl
ludmilkaskok [199]
7.50 x 0.30= $2.25
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The candy will be worth $5.25 after adding the discount.
8 0
2 years ago
Name the property used to make the conclusion. If x=3, then 5x=15.
bulgar [2K]
Note that both sides were multiplied by 5.

So that would be "Multiplication Property of Equality."

Basically, this property states that if a=b, then ac = bc.
6 0
3 years ago
Try to solve this ;)
Ad libitum [116K]

Answer:

Brand A = $0.19 per pencil

Brand B = $0.18 per pencil

Better Buy = Brand B (costs less)

Step-by-step explanation:

To find unit price for each, we divide the total with the number of pencils.

So, <u>Brand A:</u>

5.29/28 = $0.19 per pencil

And, <u>Brand B:</u>

8.47/48 = $0.18 per pencil

As we can see, Brand B pencils are around 1 cent less per pencil than Brand A pencils. So, we can say Brand B are a Better Buy.

6 0
2 years ago
If y varies directly as x and y=288 when x=16 determine the value of y when x-13
Ray Of Light [21]
Y = kx is the direct variation equation
Substitute the x and y that are given to find k then write your new equation in terms of y with the k.

288 = k(16) divide by 16 to find k
18 = k
Now write the new equation
y = 18x

y = 18(13) or y = 18(-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.
y = 234 OR y = -234
5 0
3 years ago
he dot plot below shows 6 data points with a mean of 16. A dot plot going from 11 to 20. 1 dot is above 12, 13, 15, 17, 19, 20.
puteri [66]

Answer:

The absolute deviation at 19 is 3.

Step-by-step explanation:

The absolute and mean absolute deviation show the amount of deviation (variation) that occurs around the mean score.

Since we are only interested in the deviations of the scores and not whether they are above or below the mean score, we can ignore the minus sign and take only the absolute value, giving us the absolute deviation.

We are asked to find the absolute deviation at 19.

the given mean is 16.

Hence, the deviation is:

19-16= -3.

Hence the absolute deviation at 19 is |-3|=3.

7 0
3 years ago
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