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3 years ago

Sydney's car used 1/ 3/5

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

Answer:

Sydney car can go 44.4 miles on gallon

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3x is a ____ of 3x^2 - 6x^3.

Rufina [12.5K]

Answer:

$\boxed{factor}$

Step-by-step explanation:

<em>Hey there!</em>

3x * x = 3x^2

3x * 2x = 6x^3

So 3x is a factor of 3x^2 - 6x^3.

<em>Hope this helps :)</em>

7 0

3 years ago

What is fifty five hundredths plus twenty five hundredths

Maksim231197 [3]

That would be 8000.. hope it helps

6 0

3 years ago

Read 2 more answers

Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.

frutty [35]

<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

$2^n\leq 2^{n+1}-2^{n-1}-1$

where n is a positive integer.

Let us take n=1

then we have:

$2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2$

Hence, the result is true for n=1.

Let us assume that the result is true for n=k

i.e.

$2^k\leq 2^{k+1}-2^{k-1}-1$

Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u> $2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Let us take n=k+1

Hence, we have:

$2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)$

( Since, the result was true for n=k )

Hence, we have:

$2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2$

Also, we know that:

$-2$

(

Since, for n=k+1 being a positive integer we have:

$2^{(k+1)+1}-2^{(k+1)-1}>0$ )

Hence, we have finally,

$2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

$2^n\leq 2^{n+1}-2^{n-1}-1$ where n is a positive integer.

6 0

3 years ago

Can somebody answer questions i) and j) please

frutty [35]

Pythagorean's theorem: √50

Pythagorean's theorem: √1/2

8 0

3 years ago

An individual is at a restaurant with two other people and they are trying to determine the tip for their check total which came

zlopas [31]

Answer:

c. The tip is $10.00

Step-by-step explanation:

The total bill in the restaurant is = $ 68.42

They wanted to pay a gratuity of 15%

Therefore the correct tip can be calculated as :

= 68.42 of 15%

= $68.42 \times \frac{15}{100}$

= 68.42 x 0.15

= 10.263

≈ 10 (approx.)

Thus the individual along with the other two wishes to pay a tip $10.00 for the total value.

7 0

3 years ago