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2 years ago

What is the value of r of the geometric series n=11.3(0.8)n-1

Mathematics

1 answer:

jeyben [28]2 years ago

6 0

the value of r of the geometric series n=11.3(0.8)n-1

$an=11.3(0.8)^{n-1}$

General formula for nth term of any geometric series is $a_n=a_1(r)^{n-1}$

Here 'r' is the common ratio

a_1 is the first term of the series

Now we compare the given formula with general formula

Compare $an=11.3(0.8)^{n-1}$ with $a_n=a_1(r)^{n-1}$

The value of r= 0.8

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What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.

Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

$\rm Altitude = \sqrt{xy}$

Where x is DC and y is 5 units.

Then,

The length DC is.

$\rm Altitude = \sqrt{xy}\\
\\
12 = \sqrt{(DC) \times 5}\\
\\
\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\
\\
$

Squaring on both sides

$\rm DC = \dfrac{144}{5}\\
\\
DC = 28.8$

Considering right triangle BDC, use the Pythagorean theorem to find BC:

$\rm BC^2 = DC^2+BD^2\\\\ BC^2 = (28.8)^2+(12)^2\\

\\
BC = \sqrt{829.44+144}\\
\\
BC = \sqrt{973.44}\\
\\
\rm BC = 31.2 \ units$

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

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2 years ago

Caroline earns $54 babysitting for 6 hours

Lady_Fox [76]

It would be $9 per hour all you have to do is divide 54 by 6 you get 9, unit rate is 1

I hope this helps

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2 years ago

Determine whether the statement is true or false. Justify your answers.

marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

That means reflection about the x-axis change the sign of y

y = f(x) → reflection about x-axis → y = -f(x)

If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

That means reflection about the y-axis change the sign of x

y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0

2 years ago

6 times what would = 73

padilas [110]

Answer:

12.1 repeating

Step-by-step explanation:

73/6=12.16666666...

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2 years ago

3/4 divided by 5 1/5 =

anyanavicka [17]

0.1442
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0.05487
0.2075

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3 years ago