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kozerog [31]
3 years ago
14

Let P (n) be the statement that 12 + 22 + · · · + n2 = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement P

(1)? b) Show that P (1) is true, completing the basis step of the proof. c) What is the inductive hypothesis? d) What do you need to prove in the inductive step? e) Complete the inductive step, identifying where you use the inductive hypothesis

Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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Select all of the following statments that are true
Nonamiya [84]

Answer:

A. -¾ + 0 = -¾

B. -¾ - ¾ = -(¾ + ¾)

C. ¾ - ¾ = ¾ + (-¾)

E. -¾ + ¾ = ¾ + (-¾)

F. -¾ + ¾ = 0

Step-by-step explanation:

Let's check each equation to determine whether they are true or false.

If what we have in the both sides are equal, then the equation is true, if they're not, them it is false.

✔️-¾ + 0 = -¾

Add everything on your left together

-¾ = -¾ (TRUE)

✔️-¾ - ¾ = -(¾ + ¾)

Add everything on both sides together respectively

(-3 - 3)/4 = -(3 + 3)/4

-6/4 = -6/4 (TRUE)

✔️¾ - ¾ = ¾ + (-¾)

0 = ¾ - ¾ (+ × - = -)

0 = 0 (TRUE)

✔️-¾ + ¾ = ¾ - (-¾)

0 = ¾ + ¾ (- × - = +)

0 = 6/4 (FALSE)

✔️-¾ + ¾ = ¾ + (-¾)

0 = ¾ - ¾ (+ × - = -)

0 = 0 (TRUE)

✔️-¾ + ¾ = 0

0 = 0 (TRUE)

6 0
2 years ago
Write the linear equation in the slope-intercept form when m=1 and b=-12
Elena L [17]

Answer:

y = x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = 1 and b = - 12 , thus

y = x - 12 ← equation of line

3 0
2 years ago
Find the value of x. Round to the nearest tenth.
Svet_ta [14]
Right triangle means:
sin, cos, and tangent

Here, we can see that:
sin 35° = \frac{x}{20}

Simplify.

20sin 35° = x

Multiply 20 by sin of 35 degrees.

x = 11.47(ROUNDED)

Answer: Choice C
8 0
3 years ago
Read 2 more answers
69✖️2[8+12-10✖️2+(7-5)-1]-6*
Paul [167]
69×2 [8+12-10×2+ (7-5) -1] -6 69×2 [8+12-10×2+2-1] -6 69×2 [8+12-20+2-1] -6 69×2 [20-20+2-1] -6 69×2 [0+2-1] -6 69×2 [1] -6] 138 [1] -6 138-6 132 I believe this is ur answer.
6 0
3 years ago
If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP
ss7ja [257]
It is 7*1+2=9
The output is 9
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2 years ago
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