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3 years ago

How many times will the digit '1' appear if we write all whole numbers from 1 to 999?

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer: The number one occurs 300 times while writing the numbers from 1 to 999.

Step-by-step explanation:

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Simplify the expression 32a769. Assume a = 0 and b +0.<br> Enter the correct answer in the box.

Solnce55 [7]

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

4 0

2 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

3 0

3 years ago

Read 2 more answers

The price of an item has increased 15% since last year. However, a person can buy the item for a 25% employee discount. The empl

ANEK [815]

Answer: $200

Explanation:

The employee pays $172.50 and he got 25% employee discount.

If the cost is $100, he pays $(100 - 25) = $75.

So, employee pays =

100

⋅

172.50

= $230.00.

Again, price was increased by 15% last year. So whose cost is $100

is sold by $(100+15) = $115.

When sell price is $115, then cost price is $100. Then,

when sell price is $230, then cost price is

100

115

⋅

230

= $200.

5 0

3 years ago

. The larger of two numbers is 7 less than twice the

Ganezh [65]

Answer:

x = 2y - 7

x + y = 47

substitute x

2y - 7 + y = 47

3y = 54

y = 18

x = 2x18 - 7

x = 29

4 0

3 years ago

Which shape is both a rectangle and a square?<br> please help i’ll rate you brainliest

erastova [34]

Answer:

The red square because if u cut it from the side u get to triangles.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers