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Maksim231197 [3]

2 years ago

12

Does the following series converge or diverge?

1 answer:

NikAS [45]2 years ago

6 0

Answer:

converges

Step-by-step explanation:

the individual fraction terms go against 0 with larger and larger n.

and therefore the sum converges.

the numerator of the fractions stays constant (4) but the denominator (bottom) of the fraction increases more and more with investing n (it does not matter that it uses roots, compared to the constant 4 they too grow immensely large with large n).

the limit of a/infinity is defined as 0.

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Solve: 3 x ≤ 6 how do I do this plz help

timama [110]

Answer:

x ≤ 2

Step-by-step explanation:

Most of the properties of equality also apply to inequalities. The exception is multiplication (or division) by a negative number. An equation can be multiplied or divided by any number you like (except division by 0) and it will remain true. <em>An inequality must have the relation symbol reversed when multiplying or dividing by a negative number</em>.

Here, we don't run into that issue, because we can solve this by dividing both sides by the coefficient of x, which is +3.

(3x)/3 ≤ 6/3

x ≤ 2 . . . . . . . simplify

3 0

3 years ago

A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that

Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

$P(A\cap B)=P(A).P(B)$

Now, According to question , we can get that

$P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}$

So,

$P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}$

So, by using the conditional probability , which state that

$P(B\mid A)=\frac{P(A\cap B)}{P(A)}$

$P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}$

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

4 0

4 years ago

A trinomial is also a polynomial.<br><br> A. True<br> B. False

Vanyuwa [196]

The answer would be true because a polynomial consists of many terms and a trinomial has three terms.

8 0

3 years ago

Find the value of x.<br> (9x+8)<br> 37°

gulaghasi [49]

Total angles on a straight line
(9x + 8) + 37 = 180
9x + 45 = 180
9x = 180 - 45
9x = 135
Divide through by 9
x = 15

3 0

2 years ago

Read 2 more answers

5491 apples were harvested from one side of the McMillan farm. they harvested 512 from the other side of the farm.about how many

Andrews [41]

Answer:

6003

Step-by-step explanation:

Given : They harvested 5491 apples from one side of the McMillan farm.

They harvested 512 from the other side of the farm.

To Find : The total number of apples harvested at the McMillan.

Solution :

Since we know that

Number of apples harvested from one side of the McMillan farm = 5491

Number of apples harvested from other side of the McMillan farm = 512

Now we are supposed to calculate the total number of apples

So, we need to sum the number of apples of both the sides .

⇒5491+512

⇒6003

Hence , the number of apples harvested at the McMillan is 6003

3 0

3 years ago