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Leona [35]
3 years ago
15

5^(11x+23)=125^(7x) how to solve for x

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0
Answer: x= 23/10 or x= 2.3
First... 5^11x-23=5^21x
Cancel out the 5
Secondly... 11x+23 =21x
Switch 21 and 23 to make...
11x=21x-23. Switch again to make...
11x-21x=23
Now subtract 11 and 21
-10x=-23
Divide to get
x=23/10 or x=2.3
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Answer:

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26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇

8 0
3 years ago
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zubka84 [21]

Answer:

○ A) 21 ft.²

Step-by-step explanation:

{a}^{2} + 2a  \sqrt{ \frac{ {a}^{2}}{4} + {h}^{2} } = S. A. \\  \\ {3}^{2} + 2(3) \sqrt{ \frac{ {3}^{2} }{4} +  {2}^{2}} = 24 \\  \\ 24 ≈ 21

I am joyous to assist you anytime.

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