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Setler [38]
3 years ago
14

15,000 feet to kilometers.

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer: 4.572

Step-by-step explanation:

Tresset [83]3 years ago
6 0

Answer: 4.572 killometers.

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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

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.

4 0
2 years ago
How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,73
arsen [322]
The sum of n terms of a geometric series is given by
S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}

Substituting the given numbers, you have
2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6

There are 6 terms in the series.
4 0
3 years ago
What is the slope of a line that is parallel to the line<br> shown on the graph?
kirill [66]

Answer:

below

Step-by-step explanation:

Parallel lines will ALWAYS have the same slope. Thus, the slope for the given line will be the same for the parallel line.

Best of Luck!

8 0
2 years ago
the area of a rectangle is 14 square units. it has side lengths a and b. If a= 2 1/3, what is the value of b
Zolol [24]

Step-by-step explanation:

subtrat 14 and 2 1/3 to get b

5 0
3 years ago
How many triangles can be constructed with the following measures?
love history [14]

Answer:

Use MATH.WAY it has all math problem answers

Step-by-step explanation:

5 0
3 years ago
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