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3 years ago

Plz help me with this

Mathematics

1 answer:

stich3 [128]3 years ago

4 0

Answer: $\bold{log\ x=\dfrac{log\ P}{y}}$

Step-by-step explanation:

To eliminate the exponent, apply log to both sides. This allows the exponent to become the coefficient, which can then be divided from both sides.

$x^y=P\\\\log\ x^y=log P\\y\cdot log\ x=log\ P\\\large\boxed{log\ x=\dfrac{log\ P}{y}}$

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kolbaska11 [484]

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3 years ago

Write a rule for the nth term of the geometric sequence if r = 1/4 and a3 = 2.

GarryVolchara [31]

Answer:

$a_{n} = 32(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

This means that for example:

$a_{3} = a_{1}r^{3-1}$

$a_{3} = a_{1}r^{2}$

$2 = a_{1}(\frac{1}{4})^{2}$

$2 = \frac{a_{1}}{16}$

$a_{1} = 32$

Then

$a_{n} = 32(\frac{1}{4})^{n-1}$

4 0

3 years ago

102,119,107,113,110, x; mean 114

Rom4ik [11]

Answer:

x = 133

Step-by-step explanation:

First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable x).

114 x 6 = 684

Next, add the five known values to get a sum of 551.

Now, just: 684 - 551 = 133

For the mean to be 114, x must equal 133.

6 0

2 years ago

If the sin 30° is 1 over 2, then the cos ____° = _____. (4 points) 60° ; 1 over 2 30° ; square root 2 over 2 60° ; square root 3

umka21 [38]

Step-by-step explanation:

$\sin 30 \degree = \cos 60 \degree = \frac{1}{2} \\$

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2 years ago

Read 2 more answers

I really need your help, but I don't get any.

STatiana [176]

Answer:

Step-by-step explanation:

x < -12, so x+12 < 0

| x-(-12) | = | x+12 | = -x-12

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2 years ago