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3 years ago

9

PLEASE HELP WITH BOTH WILL CROWN BRAINLIEST !!!!

1 answer:

Korvikt [17]3 years ago

3 0

41) you have a 40 day period
two visits with +75 centimeter growth each
3 visits with +6 each
in total 2*75+3*6=150+18=168
divide this by 40 days to get the average: 168/40=4.2 centimeters per day or 1.65 inches/day

42)
7x total
3x20
2x15
1x13
1x16

if you order these into a list:
13,15,15,16,20,20,20

the median is the middle value, in this case 16$
the mode is the most common value: 20$ which exists 3 times

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

I'm confused can someone maybe help me? (Picture below)

Shalnov [3]

Answer:

hlo ji good evening ji please follow me

4 0

3 years ago

Uhhhhh please help asaapp

trapecia [35]

Answer:

sorry

Step-by-step explanation:

4 0

3 years ago

Darcy gave her nail technician a $5.40 tip. The tip was 20% of the cost of the manicure Write an equation to find b, the cost

Vitek1552 [10]

Answer:

Cost of the manicure= $27

Step-by-step explanation:

Giving the following information:

Darcy gave her nail technician a $5.40 tip. The tip was 20% of the cost of the manicure

<u>To calculate the cost of the manicure, we need to use the following formula:</u>

Cost of the manicure= tip / tip percentage

Cost of the manicure= $27

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3 years ago

If m∠VWY=109°, find arc VW <br><br><br> Brainliest Given!!!!

zvonat [6]

what arc i mean where is the image

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2 years ago

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