$a_1=x+3\\\\a_2=-2x^2-6x=-2x(x+3)\\\\a_3=4x^3+12x^2=-2x(-2x^2-6x)=-2x[-2x(x+3)]\\\vdots\\\text{The general term of geometric sequence}\ a_n=a_1r^{n-1}\\\\a_1-first\ term\\r-common\ ratio\\\\a_1=x+3,\ r=-2x\\\\\text{Substitute}\\\\a_n=(x+3)(-2x)^{n-1}\\\\8th\ term\to a_8\\\\\text{Substitute}\ n=8\ \text{to the equation of}\ a_n:\\\\a_8=(x+3)(-2x)^{8-1}=(x+3)(-2x)^7=(x+3)(-128x^7)\\\\\text{use distributive property}\\\\a_8=(x)(-128x^7)+(3)(-128x^7)\\\\\boxed{a_8=-128x^8-384x^7}$

8 0

3 years ago

What is 0.304 divided by 1.325 rounded to the nearest tenth?

Over [174]

We have to determine the number which is rounded to the nearest tenth in the expression 0.304 $\div$ 1.325.

So, let us divide 0.304 by 1.325.

So, we get $0.304 \div 1.325$ = 0.229

Now, we have to round the number 0.229 to the nearest tenth.

The tenths place is to the right of the decimal. Now, we will consider the digit at hundredths place which is '2', which is less than 5.

Therefore, the number rounded to the nearest tenth is 0.2.

5 0

3 years ago

to rent a popcorn machine, it costs 35 dollars plus 6.95 dollars for each hour. Write and evaluate an expression to find the tot

nekit [7.7K]

Answer:

<em>equation=</em>35+6.95h=c

5 hours= $69.75

6 hours= 76.7

7 hours= 83.65

8 hours= 90.6

Step-by-step explanation:

the equation is found by adding 35 (the cost of the machine) and 6.95 times how many hours. To find the hours after 5 just add 6.95 every time.

5 0

3 years ago

Find the value of x and y in parallelogram WXYZ.

navik [9.2K]

Answer:

x = 13, y = 7

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

x - 7 = 6 ( add 7 to both sides )

x = 13

and

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

3 0

3 years ago