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Nesterboy
11 days ago
13

My number has nine digits it is evenly divisible by 100 the value of one of the digits is 700,000 the digit in the millions plac

e is both even and prime the digit in the hundreds place is the temperature at which water freezes the digit in the ten millions place is triple the number in the millions place the digit in the thousands place is the number of fluid ounces in a cup the digit in the hundred millions place is a special number because it is a factor of every number.
Mathematics
1 answer:
PIT_PIT [9.1K]11 days ago
8 0
Let’s break it down:
The nine-digit number is structured as nnn,nnn,nnn

To be divisible by 100, the final two digits must be 00
In the hundred thousands position, the digit is 7
The digit in the millions place must be an even and prime number, which is 2(the only even prime)In the hundreds place, the digit is 0 (the freezing point of water at 0 °C)
The ten millions place digit is three times that of the millions position, which is 6(calculated as 2x3)
And in the thousands place, the digit is 8 (equivalent to 8 fluid ounces per cup)
Finally, the hundred millions position is 1 (the only number that divides evenly into every number)

Thus, the number is 162,708,000

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Decide whether the set A of positive integers divisible by 17 and B the set of positive integers
Inessa [9006]

Answer:

  • Yes; refer to the question's clarification and the detailed answer below for more information.

Explanation:

Sets are in bijection if there is a bijective function connecting them.

This implies that the question can be interpreted as: can sets A and B be related via a bijective function?

A bijective function must be both injective and surjective, which means it is reversible.

Injective indicates that each element in the domain corresponds uniquely to an element in the codomain.

Surjective denotes that every element in the codomain relates to exactly one element in the domain.

This ensures there are no unmatched elements.

If we consider set A as the function's domain and set B as the codomain.

The core question then becomes: can the set {17, 34, 51, 68, 85,...} be in bijection with the set {11, 22, 33, 44, 55,...}?

Notice that the two sets share no common elements, as 17 and 34 are coprime.

A bijective function can only be established between sets A and B or B and A if both sets possess the same cardinality (number of elements).

Indeed, the cardinality of sets A and B is identical: both sets are of equal size, affirming that a bijective relationship exists between them.

4 0
29 days ago
What number comes next in the series? 31, 1031, 402, 16, ____
lawyer [9240]

Answer:

Someone has previously provided an answer to this question, and I must attribute it to writersparadise. All credit goes to him/her.

Step-by-step explanation:

There can be various responses to this query. Usually, the next number following 16 has digits that add up to 8.

Explanation:

First number 31 – The digits add up to 3 + 1 = 4  

Second number 1031 – The sum of the digits is 1 + 0 + 3 + 1 = 5

Third number 402 – The digits sum to 4 + 0 + 2 = 6

Fourth number 16 – Adding the digits gives 1 + 6 = 7

Thus, the missing number could either be the single digit 8 or any of these two-digit options: 17, 26, 35, 44, 53, 62, 71, or 80. It may also include larger numbers consisting of the digits from the mentioned two-digit figures combined with 0, like 260 or 7001.

Read more.in - https://.in/question/3032926#readmore

4 0
20 days ago
Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5
Zina [9179]
To determine this, we will apply the simple interest formula: A=P(a+rt)
where
A signifies the total amount.
P indicates the principal amount.
r represents the interest rate in decimal.
t denotes the time period in years.

Investment A. The initial investment amount is $10,000, so P=10000. The investment period is 5 years, meaning t=5. To express the interest rate in decimal, divide it by 100%
r= \frac{3}{100} =0.03
Now, we can substitute these values into our formula to find A:
A=P(a+rt)
A=10000(1+0.03*5)
A=11500

Investment B. P=8000, t=15, and r= \frac{2.8}{100} =0.028.
A=P(a+rt)
A=8000(1+0.028*15)
A=11360

In conclusion, investment A will yield a greater value than investment B at the investment period's conclusion.
3 0
27 days ago
Read 2 more answers
Triangle KLM was dilated according to the rule DO,0.75 (x,y). What is true about the image △K'L'M'? Check all that apply. DO, 0.
Zina [9179]

The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".

Explanation:

It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

(x,y)\rightarrow (0.75x,0.75y)

Consequently, the first statement holds true.

Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.

Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.

Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.

7 0
6 days ago
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The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers
Inessa [9006]

The two integers are 2 and 3n+n+1=3n-1\\\\
2n+1=3n-1\\\\
3n-2n=1+1\\\\
n=2\\
n+1=3

4 0
6 days ago
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