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Luba_88 [7]
3 years ago
6

the common ratio in geometric series is 0.5 and the first term is 256. what is the sum of the first 6 terms in the series?

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

501.76

Step-by-step explanation:

common ratio r = 0.5

first term a = 256

sum of G.p = Sn= a( r^n -1)/r-1

sum of the first 6 terms =

S6 = 256( 0.5^6 - 1)/ 0.5 - 1

= 256( 0.0156 - 1)/-0.5

= 256( -0.98)/-0.5

= - 250.88/-0.5

S6 = 501.76

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What is equivalent to 3 radical 8
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Equivalent 3\sqrt{8}=6\sqrt{2}

Step-by-step explanation:

Given: 3 radical 8

Mathematically 3 radical 8 can be written as 3\sqrt{8}

We have to find an equivalent to 3\sqrt{8}.

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On further simplification, we get,

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Which transformation will map figure Q onto figure Q’
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plz help whats the answer to this question !!! calculate the mass of a gold bar that is 18.00cm long, 9.21cm wide, and 4.45cm hi
erik [133]

We have to find the mass of the gold bar.

We have gold bar in the shape of a rectangular prism.

The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.

First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:

Volume of the gold bar = length \times width\times height

Plugging the values in the equation we get,

Volume of the gold bar =18.00 \times 9.21 \times 4.45= 737.721cm^3

Now that we have the volume we can find the mass by using the formula,

Mass= density \times volume

The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:

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7 0
3 years ago
Can someone please please please help.?
Luden [163]

Answer:

<h2>43°</h2>

Step-by-step explanation:

In a cyclic quadrilateral, the sum of two opposite angles are equal.

m<R + m<P = 180°

plugging the values:

3y + 8 + y = 180°

Combine the like terms:

4y + 8 = 180°

Subtract 8 on both sides

4y + 8 - 8 = 180 - 8

Calculate the difference

4y = 172

divide both sides of the equation by 4

4y/4 = 172/4

calculate

y = 43°

Hope this helps...

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3 years ago
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