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mihalych1998 [28]
3 years ago
8

How to change a logarithmic equation into exponential form?

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0
Using the basic definition of logarithmic operations

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A deal is a deal, so here is a good one, let's see who gets it right I had $5.00. My mom gives me $10.00, My dad gave me $30.00.
dimulka [17.4K]

Answer:

$150

Step-by-step explanation:

I feel like this is a trick question

8 0
3 years ago
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Which function has the same y-intercept as the function y equals 2/3 x - 3​
aleksley [76]

We have the function y = \frac{2}{3} x -3 and we want to find a function that has the same y-intercept than the previous function.

First, let's find the y-intercept by subtituting 0 for 'x'.

y = \frac{2}{3} (0) -3 = -3

Now that we found that y-intercept =-3, any lineal function of the type: y = ax - 3 will have the same y-intercept. Where 'a' can take all the real values.

Also, any quadratic function of the type: y=ax^{2} + bx - 3 will have the same y-intercept. Where 'a' and 'b' can take all the real values.

6 0
3 years ago
Suppose that two teams play a series of games that ends when one of them has won ???? games. Also suppose that each game played
Musya8 [376]

Answer:

(a) E(X) = -2p² + 2p + 2; d²/dp² E(X) at p = 1/2 is less than 0

(b) 6p⁴ - 12p³ + 3p² + 3p + 3; d²/dp² E(X) at p = 1/2 is less than 0

Step-by-step explanation:

(a) when i = 2, the expected number of played games will be:

E(X) = 2[p² + (1-p)²] + 3[2p² (1-p) + 2p(1-p)²] = 2[p²+1-2p+p²] + 3[2p²-2p³+2p(1-2p+p²)] = 2[2p²-2p+1] + 3[2p² - 2p³+2p-4p²+2p³] =  4p²-4p+2-6p²+6p = -2p²+2p+2.

If p = 1/2, then:

d²/dp² E(X) = d/dp (-4p + 2) = -4 which is less than 0. Therefore, the E(X) is maximized.

(b) when i = 3;

E(X) = 3[p³ + (1-p)³] + 4[3p³(1-p) + 3p(1-p)³] + 5[6p³(1-p)² + 6p²(1-p)³]

Simplification and rearrangement lead to:

E(X) = 6p⁴-12p³+3p²+3p+3

if p = 1/2, then:

d²/dp² E(X) at p = 1/2 = d/dp (24p³-36p²+6p+3) = 72p²-72p+6 = 72(1/2)² - 72(1/2) +6 = 18 - 36 +8 = -10

Therefore, E(X) is maximized.

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2 years ago
Calculate the area of a circle with a radius of 10 cm use pie
Advocard [28]
100pi or 100x3.14159
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3 years ago
Which explanation correctly solves this problem? A golf club has 85 golfers in a golf tournament. The golfers will ride in golf
Aleksandr [31]

The answer is A. 85/4=21 with 1 left over. They will need 22 golf carts.

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