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3 years ago

Find the next three terms of the sequence. Then write a rule for the sequence.

1 answer:

8 0

We notice it diviides by 3 each time or multiplies by 1/3
common ratio is 1/3
first term is 648

so next 3 terms are 8, 8/3, and 8/9

rule is an=648(1/3)^(n-1)

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Please Help

o-na [289]

Answer:

Step-by-step explanation:

-The length of the cubes side is (x-5) and the total surface area is 1944 sq units.

-We apply the formula for surface area and equate to solve for x:

$A=6s^2\\\\1944=6(x-5)^2\\\\324=(x-5)^2\\\\324=x^2-10x+25$

#Equate to zero as below:

$324=x^2-10x+25\\\\x^2-10x+25-324=0\\\\x^2-10x-299=0\\\\\# Quadratic \ Formula:\\\\x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\=\frac{10\pm\sqrt{(-10)^2-4(1\times-299)}}{2\times1}\\\\x_1=23, \ \ \ x_2=-13$

length dimensions are always positive.

Hence, the value of x is 23

8 0

3 years ago

Only regular polygons with an odd number of sides are symmetrical?

Virty [35]

No for example a regular octagon (8 sides) is symmetrical

5 0

3 years ago

Read 2 more answers

Rearranging formula

allochka39001 [22]

Answer:

Arlo's weight = 52.3 kg

Explanation:

Let Arlo be "x"

Then,

Arlo = x

Bert = x+20 (Because Bert is 20 heavier than Arlo)

Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)

Donnie = $\frac{x+20}{2}$ (Because Donnie is half of Bert's weight)

Average = 57

Step by step Calculations:

57 = $\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}$ (The whole divided by 4 because the total people is 4)

57*4 = x + x + 20 + x + 20 - 5 + $\frac{x+20}{2}$

228 = 3x + 35 + $\frac{x+20}{2}$

228 - 3x - 35 = $\frac{x+20}{2}$

193 -3x = $\frac{x+20}{2}$

2(193 - 3x) = x + 20

386 - 6x = x + 20

386 - 20 = x + 6x

366 = 7x

x = $\frac{366}{7}$

x = 52.3 kg (corrected to 3 significant figures)

Therefore Arlo's weight is 52.3 kg

8 0

2 years ago

What is vertex on a graph

dusya [7]

The vertex is the highest point on a downward-opening parabola or the lowest point on an upward-opening parabola.

6 0

3 years ago

1. What is the solution? y 3 -3-2-1 2 3x O (1,2) O (1,-1) O 1 02

Rama09 [41]

9514 1404 393

Answer:

(d) Infinitely Many Solutions

Step-by-step explanation:

Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...

Infinitely Many Solutions

4 0

3 years ago