2 years ago

What do you prove in the base case of an inductive proof of a statement P(n) for all positive integers n?

Mathematics

1 answer:

umka21 [38]2 years ago

4 0

Negative Integers the positive cancels the negative so it’s a proof of statement

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solve using a system of equations. a pharmacist wants to mix two solutions to obtain 350 cc of a solution that has a 14% concent

Pavlova-9 [17]

Answer:

105 cc of 7% solution

245 cc of 17% solution

Step-by-step explanation:

If x = volume of 7% solution, and y = volume of 17% solution, then:

x + y = 350

0.07x + 0.17y = 0.14(350)

Solve with substitution:

0.07x + 0.17(350 − x) = 0.14(350)

0.07x + 59.5 − 0.17x = 49

10.5 = 0.10x

x = 105

y = 245

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2 years ago

Find the length of side a.<br> please help?

GaryK [48]

Answer:

Hello! I believe your answer is a = 3

Step-by-step explanation:

a= $\sqrt{5^{2}-4^{2} }$ = 3

Have a good day! - Zac

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2 years ago

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Which expression is a factor of the quadratic 6x^2-11x-35?<br><br> 2x-7, 2x-5, 2x+7, 2x+5

vovangra [49]

1. Split the second term in 6x^2 - 11x - 35 into two terms

6x^2 + 10x - 21x - 35

2. Factor out common terms in the first two terms, then in the last two terms

2x(3x + 5) - 7(3x + 5)

3. Factor out the common term 3x + 5

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3 years ago

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Please help on this one?

rodikova [14]

Answer:

$\large\boxed{A.\ \dfrac{4}{x-9}}$

Step-by-step explanation:

$\dfrac{4(x-2)}{(x-2)(x-9)}\\\\\text{canceled}\ (x-2)\\\\=\dfrac{4}{x-9}$

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2 years ago

Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begi

Zigmanuir [339]

Bro I’m rly sorry but I don’t know the answer to this

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2 years ago