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Zigmanuir [339]
3 years ago
7

What is the definite integral of #x^3# from 1 to 2?

Mathematics
2 answers:
Anarel [89]3 years ago
5 0
The definite integral of #x^3# is 1.5

Hope this Helped!

;D
Brainliest??<span />
grandymaker [24]3 years ago
5 0
#x^3#is1.5

Glad to help :D
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Help ????????????????????
Degger [83]

Answer:

first one is 90

second one is 108

Step-by-step explanation:

7 0
3 years ago
All the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxe
AveGali [126]

Answer:

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

Step-by-step explanation:

Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.

This implies that boxes are in multiples of 12

i.e. 12, or 24, or 36 or....

Let us say this as 12m for m an integer

Now additional boxes arrived =60

Total number of boxes now = 12m+60

This when arranged in stacks of 14,nothing left out

Or this is multiple of 14

12m+60 = 14n for some positive integer n.

By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.

So we say originally 24 boxes were there now 84 boxes there.

Hence both options are right.

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

3 0
3 years ago
How to solve 2x(x+3)=2x^2+15
Travka [436]

Answer: x = 5/2 = 2.5

Step-by-step explanation:

<u>Given expression</u>

2x (x + 3) = 2x² + 15

<u>Expand parentheses and apply the distributive property</u>

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

<u>Subtract 2x² on both sides</u>

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

<u>Divide 6 on both sides</u>

6x / 6 = 15 / 6

x = 15/6

\boxed{x=\frac{5}{2} }

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
Read 2 more answers
Tiana is on a 25-foot ladder that is leaning against her house. Its base is 7 feet from the base of the house. The ladder slips
Lostsunrise [7]

Answer:

4 ft downwards

Step-by-step explanation:

old height off the ground :

7^2+b^2=25^2

49+b^2=625

b^2=576

b=24

new height off the ground :

7+8=15

15^2+ b^2 =25^2

225+b^2 = 625

b^2 = 400

b=20

difference between heights :

24 - 20 =  4

4 0
3 years ago
Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2 2 1 ​ 2, start fraction, 1, divided by
podryga [215]

Answer:

Hence, Eric's elevation changed 4\frac{1}{4} meters above. So after the 2 moves, he is up by 4\frac{1}{4} meters.

Step-by-step explanation:

Let us assume "negative" as climbing up and  "positive" as climbing up. Here we need to find the change in elevation.

  1. 2\frac{1}{2} meters down means -2\frac{1}{2}.
  2. 6\frac{3}{4} meters up means +6\frac{3}{4}.

Now we have:  

=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}

4 0
2 years ago
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