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olasank [31]
4 years ago
8

Solve the inequality 14 + 10y >= 3(y + 14)

Mathematics
1 answer:
Brrunno [24]4 years ago
3 0
14+10y > 3(y+14)

14+10y > 3y + 42
-3y -3Y

14 + 10y - 3y < 42

-14 -14


10y - 3y >42 - 14

7y > 28

Y> 4
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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0
4 years ago
(Drinking and driving.) Just after Eric had his last drink, the alcohol level in his bloodstream was 0.20 (milligram of alcohol
kykrilka [37]
Here's the formula for exponential decay:

A = p(1-k)^t

(where A = new amount, p = principal (starting) amount, k = rate of decay, and t = time)

Let's use what we know and fill in the expression.

0.08 = 0.20(1-0.47)^t

And now we solve for t.

0.08 = 0.20(0.53)^t \\ 0.4 = 0.53^t \\ log0.4=t*log0.53 \\ t = \frac{log0.4}{log0.53} = \boxed{1.44\ hours}
4 0
3 years ago
What is the surface area of a cylinder with base radius 4 and height 5
AleksAgata [21]

Answer:

226.08

Step-by-step explanation:

Atop = (3.14)(4)²

= 50.24

Abottom = Atop = 50.24

Aside = C x H

C = 2πr

   = 2(3.14)(4)

   = 25.12

25.12 * 5

= 125.6

125.6 + 50.24 + 50.24

= 226.08

8 0
4 years ago
A landscaping company sells bushes for $24 each and trees for $36 each. If you spent $648 on materials, complete the statements
Fynjy0 [20]
#of bushes, x #of trees, y

18 6
12 10
6 14
Explanation:
Do you mind if you make the explanation? Try to find out for urself atleast u do something. Its kinda easy tbh.
4 0
3 years ago
100 stickers are evenly divided between 16 children. How many stickers will be left over at the end?
r-ruslan [8.4K]

Answer:

4

Step-by-step explanation:

16x6 is 96, the closest below 100. 100-96 is 4

3 0
3 years ago
Read 2 more answers
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