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valina [46]
3 years ago
6

Prove it using mathematical induction​

Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.

Step-by-step explanation:

I'd really appreciate a brainleast please:)

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Keegan leans an 18-foot ladder against the top of a wall. The bottom of the ladder is 4.5 feet from the base of the wall. What i
zaharov [31]

Answer: C. 17.5 feet

Step-by-step explanation:

The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

18^2 + 4.5^2 + BC^2

BC^2 = 324 - 20.25 = 303.75

BC = √303.75 = 17.5 feet.

3 0
3 years ago
(x+2)-3(x-4)=6 and x=4
DENIUS [597]

Explanation:

If you plug 4 in for x into the equation, the equation becomes this:

(4+2)-3(4-4)=6

When you simplify the equation;

(6)-3(0)=6

Simplify it further,

6-0=6

That is correct. 6 = 6

Hope that answered the question.

7 0
4 years ago
How many hours in 90 minutes
irakobra [83]
1.5 hours is in 90 minutes
6 0
3 years ago
Read 2 more answers
Determine if f(x, y) = 10 − x^2 − y^2
Eva8 [605]

Answer:

Step-by-step explanation:

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. x is treat any other variable as a constant.

dz/dx=0-2x-0

dz/dx=-2x

Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.

Since this result is negative, it mrans as x increases z decreases.

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. y is treat any other variable as a constant.

dz/dx=0-0-2y

dz/dx=-2y

Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.

Since this result is positive it mrans as y increases z decreases.

8 0
3 years ago
The range of F(x) = 5.2% is all positive real<br> numbers.<br> O A. True<br> O B. False
kirza4 [7]

Answer:

If im not mistaken its true

8 0
3 years ago
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