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Julli [10]
3 years ago
5

How do I prove this?

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer:

With math I think

Step-by-step explanation:

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PLEASE HELP!
LuckyWell [14K]

Answer:

A

Step-by-step explanation:

since 3 + 12 is 15

8 0
2 years ago
What is the solution for tgx >=0?
ddd [48]

well, what variable are you solving for? like if you're solving for x, it would be:

tg is greater than or equal to 0x

7 0
3 years ago
PLEASEEEEE help I me I will give you BRAINLEST!!!
Tasya [4]

Answer:

(-2,-2)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
Jacob and Sarah are saving money to go on a trip. They need at least $2000 in order to go. Jacob mows lawns and Sarah walks dogs
Paladinen [302]

Answer:

20x+10y\ge 2000

Step-by-step explanation:

Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.

Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.

Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.

In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then

20x+10y\ge 2000

Note that x\ge 0,\ y\ge 0.

7 0
3 years ago
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