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beks73 [17]
3 years ago
7

Here is a quick question I made up myself. It's easy, but it was fun to make!

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0
Very large. Idk. This is a crazy question
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Hector collects golf balls at a driving range. each bucket holds 39 golf balls. if hector has 43 buckets to fill, estimate how m
Alborosie
There are 1677 golf balls to fill all the buckets. Hope it help!
4 0
3 years ago
P is the point on the line 2x+y-10=0 such that the length of OP, the line segment from the origin O to P, is a minimum. Find the
nirvana33 [79]
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span>                                      =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x 
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2)   (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
 
Then y = 10 - 2(4) = 2.
 So the point, P, is (4,2).
8 0
3 years ago
The answer is 915 / 7
Naily [24]

Answer:

If you want 915/7 simplified, it is 130.714285714.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify each expression
svp [43]
Hope this helps you

3 0
3 years ago
Read 2 more answers
Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
blondinia [14]
Let the two integers be x and x + 1, then
2(x + 1) + 9 = 3x
2x + 2 + 9 = 3x
3x - 2x = 11
x = 11

Therefore, the integers are 11 and 12.

6 0
3 years ago
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