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3 years ago

10

Consider that an = 4n-1 represents a sequence. What is the tenth term?

1 answer:

Korvikt [17]3 years ago

7 0

4×10-1
40-1
39 is your answer

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Find the volume of the following figures with the given dimension

natali 33 [55]

Answer:

$V=192\ in^3$

Step-by-step explanation:

Given that,

The area of base, A = 24 in²

The height of the pyramid, h = 8 in

We need to find the volume of the following figure.

The volume of pyramid is given by :

$V=A\times h$

Substitute all the values,

$V=24\times 8\\\\=192\ in^3$

So, the volume of the pyramid is equal to $192\ in^3$ .

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Question #3: Complete the statement below to show the correct value of 100%. Part A: The expression 100 3 = 10 because 100 = 102

BigorU [14]

Answer:

Step-by-step explanation:

Part A.

Expression $(100)^{\frac{1}{2}}$ = 10

Because 100 = $(10)^{2}$ and $[(10)^2]^{\frac{1}{2}}=10^1=10$

[Since, $(a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1$ ]

Part B.

When simplified, the answer is RATIONAL.

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3 years ago

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3 years ago

Write an equation in slope-intercept form for the line that passes through (5,0) and is perpendicular to the line described by y

natta225 [31]

For this case we have to;

We have that an equation in slope-intercept form is given by:

$y = mx + b$

Where:

m is the slope

b is the cut point with the y axis

Also, by definition, two lines are perpendicular when the product of their slopes is -1. That is: $m_ {1} * m_ {2} = - 1$

We have the line as data: $y_ {1} = \frac {-5} {2} x + 6$

Then $m_ {1} = \frac {-5} {2}$

We found $m_ {2}$ :

$m_ {1} * m_ {2} = - 1$

$\frac {-5} {2} * m_ {2} = - 1$

$m_ {2} = \frac {-1} {(\frac {-5} {2})}$

$m_ {2} = \frac {(2) (- 1)} {(- 5) (1)}$

$m_ {2} = \frac {2} {5}$

Thus, $y_ {2} = \frac {2} {5} x_ {2} + b_ {2}$

We must find $b_ {2}$ :

We know that $y_ {2}$ passes through the point $(x_ {2}, y_ {2}) = (5,0)$

We substitute the point in the equation of $y_ {2}$ :

$0 = \frac {2} {5} (5) + b_ {2}\\0 = 2 + b_ {2}\\b_ {2} = - 2$

Thus, $y_ {2} = \frac {2} {5} x_ {2} -2$

Then the equation in slope-intercept for the line that passes through (5,0) and is perpendicular to the line described by $y_ {1} = \frac {-5} {2} x_{1} + 6$ is: $y_ {2} = \frac {2} {5} x_ {2} -2$

Answer:

$y_ {2} = \frac {2} {5} x_ {2} -2$

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3 years ago