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2 years ago

Please help soon and explain. I don’t know how to solve! Thank u!

Mathematics

1 answer:

dsp732 years ago

4 0

2/3 because you flip 3 coins and you want to get al least 2 heads!

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A carrot has 55 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

GREYUIT [131]

For an equal number of servings, the bananas will have three times as much sugar.

To put it in perspective:
When we have one serving of each fruit, the carrot will give you 5 grams of sugar whereas banana will give you 15 grams.

Hope this helps!

7 0

2 years ago

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

2 years ago

2. How many terms are there in the expression: 3a + 6

Aliun [14]

Answer: 2

Step-by-step explanation: That expression is a binomial in any case the terms in a polynomial are separated by a plus or minus sign (+,-) so you can determine the number of terms by counting how many number or variable are being separated (ex: 3a+a-1 would have 3 terms and be a trinomial)

8 0

2 years ago

identify each polynomial as a perfect square trinomial, a difference of two squares, or neither. then factor the polynomial if i

lesya692 [45]

----------------
Neither

6 0

3 years ago

What is the answer? If 45 x 36 +62=72%

Soloha48 [4]

Answer: 1682

(45 x 36) + 62
1620 + 62 = 1682

7 0

2 years ago