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3 years ago

Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.

Mathematics

2 answers:

Anettt [7]3 years ago

8 0

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

rosijanka [135]3 years ago

4 0

Given the following geometric sequence, the common ratio would be 4.

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Niko used square tiles to make a rectangle with 2 rows and 7 tiles in each row. Explain how you can find the area of the rectang

Vsevolod [243]

Multiply the length 7 tiles by the width of 2 tiles to get the area of 14 tiles

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4 years ago

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kozerog [31]

Answer:

The ratio is $\frac{2}{3}$ .

Step-by-step explanation:

The ratio of the perimeters of Quad ABCD to Quad WXYZ = $\frac{perimeter of ABCD}{perimeter of WXYZ}$

But considering sides AB and WX,

representative factor for both figures = $\frac{12}{8}$

So that;

WX = 12

XY = 1.5 x 6 = 9

YZ = 1.5 x 7 = 10.5

WZ = 1.5 x 7 = 10.5

Thus,

perimeter of Quad ABCD = 6 + 7 + 7 + 8

= 28

perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12

= 42

The ratio of the perimeters of Quad ABCD to Quad WXYZ = $\frac{28}{42}$

= $\frac{2}{3}$

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3 years ago

Suppose you produce a camera that costs $50 to make. At a selling price of $45, you will _____.

Daniel [21]

You will lose money. Because $50 to make subtract $45 to sell (50-45) leaves you losing $5.

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3 years ago

Read 2 more answers

Whts X+y x 9 +3 +4 ?

babunello [35]

Expression simplified: $x+9y+7$

Step-by-step explanation:

The expression that we have in this problem is:

$x+y\cdot 9 +3 +4$

The first type of operation that we have to solve in such expression are multiplication/division.

In this expression, there is only one multiplication, that is:

$y\cdot 9 = 9y$

So we can rewrite the expression as

$x+9y+3+4$

Now we can evaluate the sum of the similar terms: in this case, similar terms are only 3 and 4, and their sum is

$3+4=7$

Therefore, the expression can be rewritten as

$x+9y+7$

Learn more about simplifying expressions:

brainly.com/question/7014769

brainly.com/question/11007572

brainly.com/question/11334714

#LearnwithBrainly

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3 years ago

Descried how to derive the quadratic formula from a quadratic equation in standard form

Aleks [24]

Answer:

The standard form of a quadratic equation is:

$ax^2+bx+c=0$ , $a\neq 0$

Quadratic Formula Derivation:

$ax^2+bx+c=0\\$

$x^2+\frac{b}{a}x+\frac{c}{a} =0$

$x^2+\frac{b}{a}x = -\frac{c}{a}$

Completing the Square:

$x^2+\frac{b}{a}x +\frac{b^2}{4a^2} = \frac{b^2}{4a^2}-\frac{c}{a}$

$( x+\frac{b}{2a} )^2 = \frac{b^2-4ac}{4a^2}$

Square Root property:

$x+\frac{b}{2a} = \pm \sqrt{ \frac{b^2-4ac}{4a^2}}$

$x = -\frac{b}{2a} \pm { \frac{\sqrt {b^2-4ac}}{2a}}$

$x = \frac{-b\pm\sqrt{b^2-4ac}} {2a} }$

8 0

3 years ago