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3 years ago

Can someone help me figure this out?

Mathematics

1 answer:

Lyrx [107]3 years ago

3 0

Answer:

Step-by-step explanation:

Let's look at what 10^100 and 100^10 are as numbers without exponents.

Ten raised to a positive integer exponent is a 1 followed by the number of zeros the exponent tells you. For example, 10^2 is 100, or 1 followed by 2 zeros, just like the exponent 2 tells you. 10^5 is 1 followed by 5 zeros, or 100,000. A googol is 10^100 which is a 1 followed by 100 zeros.

Let's use rules of exponents to understand what 100^10 is.

100^10 = (10^2)^10

To raise a power to a power, multiply powers.

100^10 = (10^2)^10 = 10^20

We know what 10^20 means. It is a 1 followed by 20 zeros.

A googol, 10^100, is a 1 followed by 100 zeros.

100^10 is the same as 10^20 or 1 followed by 20 zeros.

A googol is much, much greater than 100^10.

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What does it mean if a check was skipped on a bank statement?

hoa [83]

The correct answer is:

The check has not been cashed yet.

Explanation:

When you receive your bank statements, all of the transactions that have been processed are listed. This includes deposits, debits and checks.

All transactions are usually listed in order of the date of transaction. Additionally, the checks are usually listed at the bottom of the statement.

If there is a gap between check numbers that you have written, it means that the missing checks have not been processed. This means that they have not been cashed or deposited.

6 0

3 years ago

Read 2 more answers

1. The product of two consecutive integers is 20. Find the values of these integers.

gulaghasi [49]

First find the factors of 20
1 & 20
2 & 10
4 & 5
-1 & -20
-2 & -10
-4 & -5

Now find the pairs that have a difference of 1

-4 & -5
4 & 5

4 0

3 years ago

rudie earn 942 each month. last month gis fixed expense month were 625 and his variable expenses were 259. how much did he save

mel-nik [20]

Answer:

He saved 58 last month.

Step-by-step explanation:

All expenses: 625 + 259 = 884

Total earned: 942 - 884 = 58

7 0

3 years ago

Use the Ratio Test to determine whether the series is convergent or divergent.

natka813 [3]

Answer:

The series is absolutely convergent.

Step-by-step explanation:

By ratio test, we find the limit as n approaches infinity of

|[a_(n+1)]/a_n|

a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)

a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)

[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]

= |-3n³/2(n+1)³|

= 3n³/2(n+1)³

= (3/2)[1/(1 + 1/n)³]

Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity

= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity

= 3/2 × 1

= 3/2

The series is therefore, absolutely convergent, and the limit is 3/2

3 0

3 years ago

When you have two side lengths of 2in and 4.5in What is the other side length?

nika2105 [10]

Answer:

The solution for the other side length is the interval

(2.5,6.5)

Step-by-step explanation:

I will assume that is a triangle

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

x ---> the measure of the third side

Applying the Triangle Inequality Theorem

1) $2+4.5 > x$

$6.5 > x$

Rewrite

$x < 6.5\ in$

2) $2+x> 4.5$

$x> 2.5\ in$

therefore

The solution for the other side length is the interval

(2.5,6.5)

5 0

4 years ago