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AleksAgata [21]
3 years ago
5

The first term is 1 in the geometric sequence 1,-3,9,-27,...what is the seventh term of the geometric sequence?

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0
729 because all you do is multiply the previous number by -3
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A cylinder is placed within a cube. The diameter of the cylinder is equal to the length of each side of the cube. What is the vo
pochemuha

The volume of a shape is the amount of space in it.

<em>The volume outside the cylinder, but inside the cube is 214.6 cubic inches</em>

The given parameter is:

l = 10 ---- length of the cube

So, the volume of the cube is:

V_1 = l^3

V_1 = 10^3

V_1 = 1000

The volume of the cylinder is:

V_2 = \pi r^2h

The diameter (d) of the cylinder equals the length of the cube.

This means that:

d = l

d = 10

Divide by 2 to calculate the radius of the cylinder

r = \frac{10}{2}

r = 5

Also, the height of the cube is::

h =l

h =10

So, we have:

V_2 = \pi r^2h

V_2 = \pi \times 5^2 \times 10

V_2 = \pi \times 25 \times 10

V_2 = \pi \times 250

V_2 = 785.4

So, the volume (V) outside the cylinder is:

V = V_1 - V_2

V = 1000 - 785.4

V = 214.6

Hence, the volume outside the cylinder is 214.6 cubic inches

Read more about volumes at:

brainly.com/question/15861918

5 0
2 years ago
15% of 9 dollars is how many dollars
Ket [755]
  9 .............. 100%
  x................ 15%

100x = 15 . 9
100x =  135
x = <u>135</u>
      100
x = 1,35


6 0
3 years ago
HELP ME ASAP I NEED A GOOD GRADE
loris [4]

the value of angle K is 56

3 0
2 years ago
Which binomial is a factor of the expression?<br><br><br>Zoom in to see clearer :)​
sweet [91]

Answer:

x + 3 is the factor of given expression !!!

Step-by-step explanation:

here's the solution in attachment.

8 0
2 years ago
-3x(x+8)+x+2(9-x-x^2) please show solving steps
Flauer [41]

Answer:

-5x^2 - 25x + 18

Step-by-step explanation:

-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 )  ( original equation )

-3x^2 - 24x + x + 18 - 2x - 2x^2   ( distribute )

-3x^2 - 2x^2 - 24x + x - 2x + 18   ( order them based on the variables . )

( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 )    ( just separated them not a part of solving !! )

-5x^2 - 25x + 18    ( solved , and the answer :) )

Hope its helps !!!

4 0
2 years ago
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