# 1000

1. ### If a cube has the volume of 1000 then what is the smallest sphere that could be circu

If a cube has the volume of 1000 then what is the smallest sphere that could be circumscribed around it? Is it 500√2 or 500√3 how did you do it
2. ### 1000 degree polynomial

How many polynomials f(x) are there, which satisfy all the following conditions: f(x) is monic. f(x) has degree 1000. f(x) has real coefficients. f(x) divides (x−1)f(2x). f(2) is an integer.
3. ### Mod 7 test in base 1000

Show that: A number N is congruent modulo 7 to the alternating sum of its digits in base 1000 (for example, 123456789 = 789 - 456 + 123 = 456 mod 7) So... here's what I have (not much). Say the digits of N are dn ... d2 d1 d0, where each d is a digit that varies from 0 - 999 (using those as...
4. ### Find the remainder in the range 0 to 999 when 7^(8^9) is divided by 1000

Hey guys, Im confused with this :s Find the remainder in the range 0 to 999 when 7^(8^9) is divided by 1000 We're dealing with a huge power, and it confused me as to how I am supposed to work it out. I could start with doing 7 = 7 mod 1000 7^2 = 49 mod 1000 7^3 = 343 mod 1000...
5. ### 1000 integers with three properties

<Demonstrate that exist 1000 integers, all different from one another, satisifying the following three properties:their sum is a 21-power, the sum of their squares is a 22-power ad their product is a 23-power.> I am trying to demonstrate something more general , but I am stuck with a system of...
6. ### HELP with MATLAB: Compute distribution of 1000 random numbers

Hello, I have to write a MATLAB program that: A. Generates 1000 random digits (0-9). B. Computes the distribution of these 1000 numbers. Print out the dist., along with the mean and variance I think I have the answer for A, which is this: r = floor(10.*rand(1000,1)); But I...
7. ### sum of the 4536 numbers from 1000 t0 10000 their digits distinct

Difficult problem: Find the sum of 4536 numbers from 1000 to 10000 which all have their digits distinct, Thanks -D
8. ### show that there is a number c such that f(c) = 1000

Question: If f(x) = x^2 + 10 sinx, show that there is a number c such that f(c) = 1000. I'm not too sure I understand the question but I plugged in 1000 as the y value in that rule and don't really no how to solve for x. Any help would be greatly appreciated! Thanks in advance!
9. ### [SOLVED] Chem 1000: Specific Heat problem

Folks, Im not understanding how to find the specific heat of something. The books examples are a bit confusing! Could someone please break it down for me? Here's the problem: Assuming that Coca-Cola has the same specific heat as water, how much energy in calories is removed when 350g of coke...
10. ### lowest and unique value from 0 to 1000???

I am trying to solve the question from our math teacher to Bid the lowest and unique value which has to be a numeric value with at most 2 decimal digits only. Eg: 1.09, 0.12, 5.40, and 0.01 etc etc. The bid range will be 0 to 1000. Those above eg, and lowest would be used by others and...
11. ### 1 coin tossed 1000 times vs 1000 coins

I have 2 scenario: A=The result of 1 coin tossed 1000 times. and B=The result of 1000 coins tossed 1 time each. My question is: Are we able to tell just from the characteristics of A and B, without actually knowing where they belong, and correctly identify them as A or B? Simply put, are the...
12. ### Average to 1000

Find the average for the 1000 whole numbers from 1 to 1000, inclusive.