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2 years ago

Which is greater .08 or 9/20?

Mathematics

2 answers:

makkiz [27]2 years ago

8 0

9/20 because 9/20 in decimal is 0.45 which is greater than .08

e-lub [12.9K]2 years ago

7 0

9/20 because 0.08 is 8/100

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Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

3 0

1 year ago

Bridget rolls a fair dice 84 times.

Ratling [72]

Answer:

P(getting no. Greater than 4)=1/42

Step-by-step explanation:

No. Greater than 4=2. (5,6)

Total outcomes=86

P(getting no. Greater than 4) =2/84.=>1/42

5 0

2 years ago

ASAP ANSWER

Softa [21]

each gallon has 8 pints

4 $\frac{1}{2}$ * 8 = 36

so there would be 36 servings

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3 years ago

When Willow lies on horizontal ground level 10m from the foot of a tree, the angle of elevation to the top of the tree is 30degr

8_murik_8 [283]

Answer:

Step-by-step explanation:

i just added 10 to 30 because 10 in were it starts

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melomori [17]

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2 years ago