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ohaa [14]
3 years ago
15

If 2 + 2^2 + 2^3 +...+ 2^n = 510 then n = ?

Mathematics
2 answers:
jonny [76]3 years ago
5 0

Answer:

N= 8

Step-by-step explanation:

Bumek [7]3 years ago
3 0

Answer:

n = 8

Step-by-step explanation:

This Geometric series. r = 2 and a = 2

S_{n}= \dfrac{a(r^{n}-1)}{r-1}\\\\\\\dfrac{2(2^{n}-1)}{2-1}=510\\\\\dfrac{2*(2^{n}-1)}{1}=510\\\\2*(2^{n}-1) = 510\\\\2^{n-1}=\dfrac{510}{2}\\\\2^{n} - 1 = 255\\\\2^{n}=255+1\\\\2^{n} = 256\\\\2^{n} =2^{8}

n = 8

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What is the congruence statement for the given triangles?
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Answer:

A triangle with three sides that are each equal in length to those of another triangle, for example, are congruent. This statement can be abbreviated as SSS. Two triangles that feature two equal sides and one equal angle between them, SAS, are also congruent.

Step-by-step explanation:

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3 years ago
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of
kolbaska11 [484]

If <em>f(x)</em> = 7/(1<em> </em>+ <em>x</em>), then

<em>f</em> (2) = 7/3

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Then the Taylor series of <em>f(x)</em> about <em>a</em> = 2 is

7/3 + 1/1! (-7/9) (<em>x</em> - 2) + 1/2! (14/27) (<em>x</em> - 2)² + 1/3! (-14/27) (<em>x</em> - 2)³

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3 years ago
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.35 is your answer that your looking for
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3 years ago
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The surface area of a rectangular prism is 2210 cm^2 Then the other dimension is 70.3 cm

<h3><u>Solution:</u></h3>

Given that surface area of rectangular prism is 2210 square centimeter

Also given that two of dimensions are 5 cm and 10 cm

To find: other dimension

<em><u>The total surface area of the rectangular prism is gievn as:</u></em>

\text {Total surface area }=2(lb+b h+h l)

Where, "l" is the length and "b" is the breadth and "h" is the height

The given values are:  l = 5cm and b = 10cm

On substituting the given values in formula we get,

\begin{array}{l}{2210=2(l \times b+b \times h+h \times l)} \\\\ {2210=2(5 \times 10+10 \times h+h \times 5)} \\\\ {2210=2(50+10 h+5 h)} \\\\ {1105=50+15 h} \\\\ {1055=15 h} \\\\ {h=70.3}\end{array}

Thus the other dimension is 70.3 cm

6 0
4 years ago
What is the surface area of a sphere with a circumference of 30 ft? Round the answer to the nearest tenth. 286.5 ft^2 143.2 ft^2
posledela
The answer is 71.6 ft^2.
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3 years ago
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