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Annette [7]
2 years ago
7

Find the 11th term of the geometric sequence 6, -18, 54,

Mathematics
1 answer:
horsena [70]2 years ago
8 0

Answer:

354294

Step-by-step explanation:

a₁ = 6 = 6 * (-3)⁰

a₂ = -18 = 6 * (-3)¹

a₃ = 54 = -18 * (-3) = 6 * (-3)²

a₁₁ = 6 * (-3)¹⁰ = 354294

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6= 5r - 14<br> What are the steps you would use to solve the equation?
gregori [183]
6 = 5r - 14
6 + 14 = 5r
20 = 5r
r = 4
7 0
2 years ago
Area of a right triangle with base 8cm and height 2cm is
Vinvika [58]

Answer:

the ans is 16 square cm ok

5 0
2 years ago
The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

5 0
3 years ago
A survey was conducted to determine the amount of time, on average, during a given week SCAD students spend outside of class on
fiasKO [112]

Answer:

Standard Deviation = 5.928

Step-by-step explanation:

a) Data:

Days  Hours spent  (Mean - Hour)²

1              5                61.356

2             7                34.024

3            11                  3.360

4           14                   1.362

5           18               26.698

6          22               84.034

6 days 77 hours,    210.834

mean

77/6 = 12.833    and 210.83/6 =  35.139

Therefore, the square root of 35.139 = 5.928

b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.

5 0
3 years ago
What is x^2=7x <br><br> number 9
ipn [44]

Let's do this in steps, show your work!

<u>#1. We need to move all terms to one side.</u>

<u>x^2 - 7x = 0</u>

<u>#2. Then factor out the common term x.</u>

<u>x(x - 7) = 0.</u>

<u>#3. Simplify to get..</u>

<u>x = 0, 7.</u>

<u />

If you need help with any other question let me know.

<u />

8 0
3 years ago
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