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Oliga [24]
3 years ago
8

For alln∈N≥1(son≥1), and usingweakinduction, prove that:n∑i=1i3=[n(n+ 1)2]2Note that this result means that the sum of t

he third powers of the first strictly positive integers is equal to the sum of the same integers, squared=

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

Step-by-step explanation:

hello,

the question is not really clear. i believe the intended equation would be

\sum_{k=1}^{k=n} k^3=\frac{(n(n+1))}{4}

please check the attached file for the step by step proof.

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Find the slope on the graph
alukav5142 [94]

Answer:

3/1

Step-by-step explanation:

you need to count the hight of the line from the (0,2) which will be 3 and then how much of the distance of x is. I used rise over run.

6 0
3 years ago
Read 2 more answers
A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower
olga2289 [7]
For this case we have the following equation:
 w = || F || • || PQ || costheta
 Where,
 || F ||: force vector module
 || PQ ||: distance module
 costheta: cosine of the angle between the force vector and the distance vector.
 Substituting values:
 w = (60) * (100) * (cos (45))
 w = 4242.640687 lb.ft
 Answer:
 
The work done pushing the lawn mower is: 
 w = 4242.640687 lb.ft
6 0
3 years ago
Solve x 3+3(x+2)=-24​
gregori [183]

Answer:

x=-11

Step-by-step explanation:

3+3x=6=-24

3x+9=-24

3x=-33

x=-11

8 0
2 years ago
Read 2 more answers
Amy's family drove to Lucky Land Fun Park for the day. Her dad and mom shared the driving. Amy's dad drove 3 miles for every 5 m
uysha [10]

Answer:

128 miles

Step-by-step explanation:

5 + 3 = 8, 32 / 8 = 4, 4 x 4 = 16

5 x 16 = 80

3 x 16 = 48

80 + 48 = 128

7 0
2 years ago
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Help please! <br> This question needs a bit of a hand.
worty [1.4K]

Answer:

It's not a right angle.

Step-by-step explanation:

Remark

There's a second restriction on the problem. The Perimeter is 22 cm.

AB = 8

BC = 5

AC = 9.4

When you add these up, you get 8 + 5 + 9.4 which is 22.4

You may think this is close enough. In this case it is not. Either the perimeter has to 22.4 or the hypotenuse has to be reduced. Let us say it is close, but not close enough.

When you use other methods, you find out that the right angle is actually 90.4 degrees

6 0
3 years ago
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