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Crazy boy [7]
4 years ago
9

Solve for x in the equation X^2-16^x=0

Mathematics
1 answer:
shtirl [24]4 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

  • x^2- 16^x = 0
  • x^2 =  16^x
  • x^2 = 4^2x
  • x = 4^x
  • logx = xlog4
  • 1/x×logx = log4
  • log(x^1/x) = log4
  • x^(1/x) = 4

At this point you can guess and try. And it seems that x = -1/2, lets check:

  • (-1/2)^(1 /-1/2)= (-1/2)^-2= 2^2= 4

So, this is correct: x= -1/2

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4 0
3 years ago
Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it. If one ball is
dem82 [27]

Answer:

Probability ball: white - P(W)P(W);

Probability ball: even - P(E)P(E);

Probability ball: white and even - P(W&E).

Probability ball picked being white or even: P(WorE)=P(W)+P(E)-P(W&E).

(1) The probability that the ball will both be white and have an even number painted on it is 0 --> P(W&E)=0 (no white ball with even number) --> P(WorE)=P(W)+P(E)−0P(WorE)=P(W)+P(E)−0. Not sufficient

(2) The probability that the ball will be white minus the probability that the ball will have an even number painted on it is 0.2 --> P(W)−P(E)=0.2P(W)−P(E)=0.2, multiple values are possible for P(W)P(W) and P(E)P(E) (0.6 and 0.4 OR 0.4 and 0.2). Can not determine P(WorE)P(WorE).

(1)+(2) P(W&E)=0 and P(W)−P(E)=0.2P(W)−P(E)=0.2 --> P(WorE)=2P(E)+0.2P(WorE)=2P(E)+0.2 --> multiple answers are possible, for instance: if P(E)=0.4P(E)=0.4 (10 even balls) then P(WorE)=1P(WorE)=1 BUT if P(E)=0.2P(E)=0.2 (5 even balls) then P(WorE)=0.6P(WorE)=0.6. Not sufficient.

Answer: E.

6 0
3 years ago
Whats 9x-6-13x=94? how do you do it?
rewona [7]
9x-6-13x=94

-4x-6=94

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x= -25
6 0
3 years ago
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76 + 4 is 80... don't know what you're asking
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3 years ago
A public park is in the shape of a triangle. the side of the park that forms the base of the triangle is 22 yd long and the area
Yakvenalex [24]
Let h be the height. Then:
1/2  (22h)=7500
22h=15000
h=15000/22=681.8181 yds

6 0
3 years ago
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