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FrozenT [24]
3 years ago
10

PLEASE HELP ME WITH MY MATH

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0
8              2
16             4
20            5
28            7

ratio": number of bunch to litters of serving = 4:1 
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Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable
wel
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
8 0
3 years ago
8w - 16 Helpppppppppppp
Sever21 [200]
-2? it’s been awhile sorry if it’s wrong
4 0
3 years ago
A train travels at a speed of 90 miles per hour. How far will it have traveled<br> in 3 hour
DiKsa [7]
270 miles be 90+90+90 equals 270 and thats the answer
5 0
3 years ago
Read 2 more answers
Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)
nalin [4]

Answer:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

Step-by-step explanation:

Given the equation:

sin(x)-2sin(x) tan(x)=0

To find:

The solutions of given equation in the range [0, 2\pi) i.e. 0 can be in the answer but 2\pi can not be there in the answer.

Solution:

Taking tan(x) common, we get:

tan(x) (1-2sin(x))=0

The solutions can be given as:

tan(x) = 0 OR 1-2sin(x) = 0

Let us solve both the equations one by one:

First equation:

tan(x) = 0\\ \Rightarrow x=0, \pi

Second equation:

1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}

Therefore, the answers as a comma separated list are:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

7 0
3 years ago
Qual a raiz da equação X²+5X-14=0 ?
ElenaW [278]

Answer:

e) Hence 2, -7 are roots of the equation X² + 5X - 14 = 0

Step-by-step explanation:

given equation : X² + 5X - 14 = 0

⇒ X² + 7X - 2X - 14 = 0

⇒ X·(X + 7) - 2·(X + 7) = 0

⇒ (X + 7)·(X - 2) = 0

⇒ X = -7, X = 2

<u>Hence 2, -7 are roots of the equation X² + 5X - 14 = 0</u>

8 0
3 years ago
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