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Andrews [41]
3 years ago
8

Choose the best option.1.(101), in base 10 is equal to:a)10b)1c)2d)5​

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:5

Step-by-step explanation:(1×2^2)+(0×2^1)+(1×2^0)=

1×4+0×2+1×1=

4+1=

5

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What is the answer of:<br><img src="https://tex.z-dn.net/?f=2%20%5Cdiv%203%20%20%2B%20%20%5Csqrt%7B5%7D%20" id="TexFormula1" tit
pshichka [43]

Answer:

\frac{2  \: +  \: 3 \sqrt{5} }{3}

Step-by-step explanation:

\frac{2}{3}  +  \sqrt{5}  =

= \frac{2}{3}  + ( \sqrt{5}   \times  \frac{3}{3} )

= \frac{2}{3}  +  \frac{3 \sqrt{5} }{3}

=  \frac{2  \: +  \: 3 \sqrt{5} }{3}

4 0
2 years ago
What are all values of x for which the series n 3^n/x^n converges
Eva8 [605]

The interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

<h3>What is convergent of a series?</h3>

A series is convergent  if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We can find the interval for the convergent by root test.

Like the Ratio Test, the root Test is used to determine absolute convergence (or not) with factorials, the ratio test is useful.

For the given series:

\sum^{\infty}_{n=0}\dfrac{3^n}{x^n}

As the series goes infinitely, we can use root test.

By the root test, the convergence interval will be;

The interval of convergence is:

x < -3 or x > 3   we can write this as:

|x| < 3

Thus, the interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ4

6 0
2 years ago
"Which ratio does not belong with the other three?" Explain your reasoning." Help me on 3. Please
SIZIF [17.4K]
12:15 does not belong, since that is a ratio of 4:5, whilst the others are all 3:4.
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3 years ago
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How to write 1 2/5 as a percent
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140%

Step-by-step explanation:

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A keyboard typically has 46 keys that can be modified and four ways to modify them, SHIFT, CTRL, ALT, and no modification. For i
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I am thinking its 414 not 100%  tho

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3 years ago
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