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Gnoma [55]
3 years ago
6

Rewrite the expression with the given base. 16^x with a base of 2.

Mathematics
1 answer:
olga55 [171]3 years ago
5 0
Keeping in mind that 16 = 2*2*2*2, thus 16 = 2⁴

\bf 16^x\implies (2^4)^x\implies 2^{4\cdot x}\implies 2^{4x}
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The expression 12 + 8 represents the perimeter of a square. Write 12 + 8 as a product. Then tell what expression represents one
kupik [55]

Answer:

(3+2)

Step-by-step explanation:

Perimeter of a square = 4L

L is the length of one side of the square

Given the expression 12 + 8 that represents the perimeter of a square, factoring out 4 from both terms;

12 + 8

= (4*3)+(4*2)

= 4(3+2)

Comparing with 4L

4L = 4(3+2)

Divide both sides by 4

4L/4 = 4(3+2)/4

L = (3+2)

Hence the expression that represents one side of the square is (3+2)

5 0
3 years ago
If f(x)=4x^2+1 and g(x)=x^2-5 find (f-g)(x)​
vodka [1.7K]

Answer:

Answer: 5x² - 4

Step-by-step explanation:

f(x) = 4x² + 1

g(x) = x² - 5

Then

(f + g)(x) = 4x² + 1 + x² - 5

             = 5x² - 4

Answer: 5x² - 4

8 0
3 years ago
I can’t figure this out
Reil [10]
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3 years ago
For all parts of this problem, P(Ā)=0.75 , P(B)=0.3 , and P(B∣A)=0.15
Marianna [84]

12. I assume \bar A denotes the complement of A, so

P(A) = 1 - P(\bar A) = 0.25

Then by definition of conditional probability,

P(B\mid A) = \dfrac{P(A\cap B)}{P(A)} = \dfrac{P(A\cap B)}{0.25} = 0.15 \\\\ \implies \boxed{P(A\cap B) = 0.0375}

13. By inclusion/exclusion,

P(A\cup B) = P(A) + P(B) - P(A\cap B) = 0.25 + 0.3 - 0.0375 \\\\ \implies \boxed{P(A\cup B) = 0.5125}

6 0
2 years ago
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