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lana66690 [7]
3 years ago
13

In a geometric sequence, a2=108 and as 256. Write the explicit formula for this sequence.

Mathematics
2 answers:
torisob [31]3 years ago
8 0

Answer:

The first choice is correct.

Step-by-step explanation:

First work out the common ratio r:-

a2 = a1r and a5 = a1 r^4

So r^3 = a1r^4 / a1r = 256/ 108

r = cube root (256/-108) =  4/3

So the explicit formula is 108(4/3)^(n-1)

mariarad [96]3 years ago
4 0

Answer:

C. 81[-4/3]^n-1

Step-by-step explanation:

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Let h be the function that assigns each student ID number to a grade level.
denis-greek [22]

Answer:

It is a function Jonny!

Step-by-step explanation:

Hello! I would say to Jonny:

Jonny! A function is a relation between two sets, in which every element of the first set (domain) is assigned only one element of the second set (codomain).

If you have serveral elements of the first set with the same corresponding element of the second set it is correct to call that relation a function.

However, if you have an element of the first set for which your relation can relate to more than one element of the second set, then Jonny, that is not a function.

In the present case, every student ID number can only be realted to a number of the set {9, 10, 11, 12}, a student cannot have more than one current grade level. Therefore, that relation is in fact a function

5 0
3 years ago
X²+y²-6x+14y-1=0<br> and please show your work so I can learn
Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

x^2 + y^2 -6x+14y-1=0

We need to use the Quadratic Formula*

x =\frac{-b+\sqrt{b^2}-4ac }{2a} , \frac{-b-\sqrt{b^2} -4ac }{2a}

Thus, given the problem:

a = 1, b=-6, c=y^2+14y-1

So now we just need to plug them in the Quadratic Formula*

x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2} , x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}

As you can see, it is a mess right now. Therefore, we need to simplify it

x=\frac{6+2\sqrt{10-y^2-14y} }{2}, x = \frac{6-2\sqrt{10-y^2-14y} }{2}

Now that's get us to the final solution:

x=3+\sqrt{10-y^2-14y}, x=3-\sqrt{10-y^2-14y}

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0
2 years ago
What is the sum of all measures of the interior angles of a regular pentagon?
Ugo [173]
There are 540 degrees total in the interior angles of a regular pentagon.

Just so you know, the total degrees of interior angles goes up by 180 degrees.

A triangle is 180 degrees, a quadrilateral 360, and a pentagon 540.
6 0
3 years ago
Which equation represents the line shown on the coordinate grid below?
kondor19780726 [428]
I thinks it’s A or C )) but it’s not b or d, I’m pretty sure. So imma go with A or c
5 0
2 years ago
What is the surface area of the triangular prism?
Minchanka [31]

Answer: = 40 . 24

Step-by-step explanation:

A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.

2,001 square feet

2,376 square feet

2,592 square feet

4,320 square feet

4 0
3 years ago
Read 2 more answers
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