2 years ago

How many six-digit odd numbers are possible if the leftmost digit cannot be zero

Mathematics

1 answer:

Romashka [77]2 years ago

4 0

For the leftmost digit there are 9 possibilities!

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What is 4 square root of 81 to the fifth power in exponential form

creativ13 [48]

Answer:

B is the answer.

Step-by-step explanation:

$x^{\frac{m}{n} } = \sqrt[n]{x^{m} }$

$\sqrt[4]{81^{5} }$ = $81^{\frac{5}{4} }$

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2 years ago

Which expression shows the distance on the number line between 2 and −7?

AlladinOne [14]

D because they are 9 ponits between them so the abs are going going to remove the negative

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The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o

dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

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2 years ago

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The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat

Oliga [24]

A geometric series is written as $ar^n$ , where $a$ is the first term of the series and $r$ is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by $r$ .

Since we know that the first time is 6 (but we don't know the common ratio), the first terms are

$6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots$ .

Let's use the other information, since the last term is $4374 > 6$ , we know that $r>1$ , otherwise the terms would be bigger and bigger.

The information about the sum tells us that

$\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558$

We have a formula to compute the sum of the powers of a certain variable, namely

$\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}$

So, the equation becomes

$6\cfrac{r^{n+1}-1}{r-1} = 6558$

The only integer solution to this expression is $n=6, r=3$ .

If you want to check the result, we have

$6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558$

and the last term is

$6*3^6 = 4374$

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2 years ago

I am a factor of 18.the other factor is 9.what number am i?

Liula [17]

The answer to this question is 2

3 0

2 years ago