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borishaifa [10]
4 years ago
8

Using a_n=a_1r^{n-1}, what is the 10th term in this geometric sequence?

%2C..." id="TexFormula1" title="0.2,1,5,25,125,..." alt="0.2,1,5,25,125,..." align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Whitepunk [10]4 years ago
5 0
a_n=a_1.r^{n-1}\\
\\
a_{10}=(0.2).5^9\\
\\
a_{10}=(0.2).1,953,125=390,625
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Before the election, you want to determine the number of possible president/vice-president combinations for the sorority you bel
vichka [17]

Solution: We have to choose two positions president and vice president from eight people. So, we need to use the Permutations formula in order to find the possible number of combinations.

The number of possible combinations is:

8P2 =\frac{8!}{(8-2)!}

              =\frac{8\times7\times6\times5\times4\times3\times2\times1}{6\times5\times4\times3\times2\times1}

              =\frac{40320}{720}

              =56

Therefore the possible number of combination to select two positions from 8 people is 56

6 0
3 years ago
As of December 31, Year 1, Moss Company had total cash of $150,000, notes payable of $85,000, and common stock of $51,800. Durin
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7 0
3 years ago
3. Jenny bought 7 jackets and 10 winter hats. The jackets cost $8 dollars each, and the winter hats cost $4 each. Write an equat
yan [13]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Solve for x <br> 6x+3y=54<br> 2x+y=18
butalik [34]

Step-by-step explanation:

6x+3y=54

- 2x+y=18

I'm going to be using the elimination method cause it seems easiest here. so for the elimination method u choose a variable to eliminate I chose y u could do x too if u want to. so first step would be to multiply the second equation by 3. 6x+3y=54

so now u just have to eliminate

6x+3y=54

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because these cancel out the answer would be an infinite solution

8 0
3 years ago
Plot the axis of symmetry and the vertex for this function: h(x) = (x − 5)2 − 7.
jeka94

Answer:

The vertex and the axis of symmetry in the attached figure

Step-by-step explanation:

we know that

The equation of a vertical parabola written in vertex form is equal to

f(x)=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex of the parabola

and the equation of the axis of symmetry is equal to the x-coordinate of the vertex

x=h

In this problem

we have

h(x)=(x-5)^2-7

This is a vertical parabola written in vertex form open upward

The vertex is a minimum

where

the vertex is the point (5,-7)

the x-coordinate of the vertex is 5

so

the equation of the axis of symmetry is equal to

x=5

The graph in the attached figure

7 0
3 years ago
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