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3 years ago

6.6 x 1021 in standard notation

Mathematics

1 answer:

Gre4nikov [31]3 years ago

5 0

Answer:

6,600,000,000,000,000,000,000

Step-by-step explanation:

You might be interested in

Determine whether the series is convergent or divergent.

elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0

4 years ago

Which equation shows 4n=2(t-3) solves for t?

noname [10]

Answer:

t = 2n + 3

Step-by-step explanation:

Given

4n = 2(t - 3) ← divide both sides by 2

2n = t - 3 ( add 3 to both sides )

2n + 3 = t

5 0

4 years ago

Of the 366 burthdates, what is the probability that a March date will be randomly chosen in a lottery?

ki77a [65]

Answer:

1%-20%

Step-by-step explanation:

im toolazy to devide and calculate it

8 0

3 years ago

The length of a rectangular mural is 2ft. more than three times the width the area is 165 sq. ft. Find the Width And Length

olga nikolaevna [1]

We know that the formula for the area of a rectangle is:

$A=lw$

We know that the area is 165. Now we need to solve for the dimensions.

Let the width of the rectangle be " $x$ "

Then the length of the rectangle is $3x+2$

Substitute.

$(3x+2)(x)=156$

Multiply the terms.

$3x^2+2x=156$

Bring the 156 over.

$3x^2+2x-156=0$

We have to use the quadratic formula to solve this now. Let us restate it:

$x= \frac{-b± \sqrt{b^2-4ac} }{2a}$

Now I'm going to fast forward this because all the rest is boring stuff and substitution. The answer is:

$\frac{ \sqrt{469}-1 }{3}$

Since we cannot have a negative answer, we must cancel out the other answer, which I did not include.

Hope this helped! :)

~Cam943, Junior Moderator

5 0

4 years ago

Read 2 more answers

Need help with thisss

frozen [14]

9514 1404 393

Answer:

cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

UQ = 24 cm

Then TQ is ...

TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

cos(x°) = 6/10 = 3/5

cos(x°) = 3/5 = 0.6

7 0

3 years ago