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jeka94
2 years ago
9

Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Mathematics
1 answer:
Charra [1.4K]2 years ago
4 0

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

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Plz awnser :) but explain i actually wanna know how to do this. long division, 1300÷15=?
chubhunter [2.5K]
(Divide) 1,300÷15=86.6666666667
6 0
3 years ago
18. Emma rents a car from a company that rents cars by the hour. She has to pay an initial fee of $75, and then they charge her
love history [14]

Step-by-step explanation:

Let h be the number of hours.

Total Cost = Fixed Costs + Variable Cost

= Initial Fee + Hourly Charge

= 75 + 9h

Given,

75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\  = 19 \frac{4}{9} hr

Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.

5 0
3 years ago
Please help, correct answer gets brainiest incorrect/trolling is reported.
ioda

Answer:

5

Step-by-step explanation:

Rip

6 0
3 years ago
Read 2 more answers
A principal of $2000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 14 years?
krek1111 [17]

Answer:

Yearly compounding: 7.75% $5,686.85

Quarterly compounding: 7.978% $5,857.78

Monthly compounding: 8.031% $5,898.27

Daily compounding: 8.057% $5,918.20

Step-by-step explanation:

multiply yearly by 14

7 0
2 years ago
On Friday, the temperature changes -30 each hour. If the temperature changed for 7 hours, what is the total temperature change?
Marina86 [1]

A -120 difference will be seen in the temperature within a 7 hour period

<u>Equation</u>

<em>-</em>30 x 7

<em>Multiplying two of different signs ( - + ,  + - ) will always be negative.</em>

<em>Multiplying two of the same sign ( - - , + + ) will always be positive.</em>

8 0
3 years ago
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