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2 years ago

What is the 8th term of the sequence 1, 3, 9, 27, 81,... .

Mathematics

1 answer:

slega [8]2 years ago

4 0

9514 1404 393

Answer:

2187

Step-by-step explanation:

This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...

an = a1·r^(n-1)

an = 3^(n-1)

Then the 8th term is ...

a8 = 3^(8-1) = 2187

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What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?

myrzilka [38]

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

4 0

3 years ago

Please help me out please

natita [175]

Answer:

RC = 40

Step-by-step explanation:

Note that the circumcentre is equally distant from the triangle's 3 vertices.

That is : PC = RC = QC

Equate any pair and solve for x

Using RC = PC, then

5x - 15 = 3x + 7 ( subtract 3x from both sides )

2x - 15 = 7 ( add 15 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Hence

RC = (5 × 11) - 15 = 55 - 15 = 40 units

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3 years ago

In a population, 11% of people are left handed. In a simple random sample of 160 people selected from this population, the propo

castortr0y [4]

Answer:

The claimed proportion (population) is

$p=0.11$

The sample proportion (p-hat) is

$\hat{p}=0.10$

Step-by-step explanation:

In the population, we have the parameter p that is 11%.

$p=0.11$

Then, a sample of n=160 is taken and the proportion of the sample is 0.10.

$\hat{p}=0.10$

The sample proportion p-hat can differ from the population's proportion. There is a sampling distribution that gives the possible values of the sample proportion taken out of this population and its associated probabilities.

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3 years ago

Sisters math question

zalisa [80]

Answer:

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Step-by-step explanation:

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2 years ago

Jessie estimates the weight of her cat to be 10 pounds. The actual weight of the cat is 13.75 pounds. find the percent error.

romanna [79]

Answer:

$\large \boxed{27 \, \%} }$

Step-by-step explanation:

$\begin{array}{rcl}\text{Percent error}&= &\dfrac{\lvert \text{Measured - Actual}\lvert}{ \text{Actual}} \times100 \,\%\\\\& = & \dfrac{\lvert 10 - 13.75\lvert}{13.75} \times 100 \, \% \\\\& = & \dfrac{\lvert -3.75\lvert}{13.75} \times 100 \, \%\\ \\& = & \dfrac{3.75}{13.75} \times 100 \,\%\\\\& = & 0.27 \times 100 \, \%\\& = & \mathbf{27 \, \%}\\\end{array}\\\text{The percent error is $\large \boxed{\mathbf{27 \, \%} }$}$

3 0

2 years ago