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2 years ago

Find the first four terms of the infinite sequence defined explicitly by the following rule.

1 answer:

8 0

The only thing that you should do is to put 1, 2, 3, and 4 instead of the n and then you will get the first four terms!

f(1) = 4(1) - 2 = 2
f(2) = 4(2) - 2 = 6
f(3) = 4(3) - 2 = 10
f(4) = 4(4) - 2 = 14

Have a great day!

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Find a formula for the described function. An open rectangular box with volume 3 m3 has a square base. Express the surface area

Alex73 [517]

Answer:

$SA(x) = x^2 + \frac{12}{x}$

Step-by-step explanation:

Given

$V = 3m^3$ --- volume

$x \to base\ length$

$y \to height$

Required

The surface area as a function of base length

The volume (V) is calculated as:

$V = Base\ Area * Height$

$V = x*x*y$

$V = x^2*y$

Make y the subject

$y = \frac{V}{x^2}$

Substitute 3 for V

$y = \frac{3}{x^2}$

The surface area of the open box is:

$SA = x^2 + 2xy+2xy$

$SA = x^2 + 4xy$

Substitute: $y = \frac{3}{x^2}$

$SA = x^2 + 4x*\frac{3}{x^2}$

$SA = x^2 + 4*\frac{3}{x}$

$SA = x^2 + \frac{12}{x}$

Hence, the function is:

$SA(x) = x^2 + \frac{12}{x}$

4 0

2 years ago

Match with the appropiate property:

Nonamiya [84]

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

hope this helps! :)

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3 years ago

Claire jogs no more than 20 miles per week. Which inequality represents the number of miles she runs each week?

anzhelika [568]

C Claire hogs anywhere between 0 and 20 miles per week. So she jogs 20 and below. Making the answer c

3 0

3 years ago

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Guys i need your HELP ASAP

ivanzaharov [21]

To solve this, you’ll first need to solve for their slopes.

The slope for line Q is y2-y1/x2-x1 = -8-(-2)/-8-(-10) = -3

We know that the lines are perpendicular so the negative reciprocal of -3 is 1/3

The equation you get it y = 1/3x + b.

Now you will need to solve for b by substituting in the first ordered pair of line R.

2 = 1/3(1) + b.

Once you solve for b, you should get 5/3 and y = 1/3x + 5/3

Now, to find a, you will need to substitute in 10 from the second ordered pair into x in your new equation.

y = 1/3(10) + 5/3.

Your solution should be 5.

So your answer is: a = 5

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3 years ago

What is the rule for translating 4 units to the right

maks197457 [2]

Answer:

When you move down you subtract and when you move to the right you subtract when your moving up or to the left you add. hope that helped :-)

Step-by-step explanation:

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3 years ago

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