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3 years ago

Solve the equation 3(x +4.5) = 36

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Answer:

x=7.5

Step-by-step explanation:

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(y+2x+3)dx+(x- 4y^3 +2)dy 0

denis-greek [22]

Answer:

=dx(y+2x+3)

I hope that helps you

3 0

3 years ago

The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the

Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

$T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939$

Probability:

$p_{S} = \frac{1}{1533939}$

Probability of the mega number matching:

1 from a set of 27. So

$p_M = \frac{1}{27}$

Probability of both matching:

Independent events, so we multiply the probabilities:

$p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}$

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0

3 years ago

Which of the following shows the extraneous solution(s) to the logarithmic equation? log4 (x) + log4(x - 3) = log4 (-7x + 21)

Salsk061 [2.6K]

First join the log4 on the left:

log4( x*(x-3) = log4(-7x+21)

Then x = -7, works: -7*(-10)=70 = -7*(-7)+21

x=-3, 18 = 42, does not work

x=3 0=0 works,

However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.

Now x=3 gives log4(0) on the left and right, which does not exist.

So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation

6 0

3 years ago

Read 2 more answers

Rodrick is visiting the local museum exhibit and has a maximum of $30 dollars to spend. The entry ticket cost $7. He can spend g

valentinak56 [21]

Entry ticket = $7

Gift shop money = $g

Maximum to spend = $30

Inequality => 7+g ≤ 30

Hope it helps!

6 0

2 years ago