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gladu [14]
3 years ago
13

A candidate for mayor plans to campaign at 5 shopping malls before the election. In how many different ways can the candidate sc

hedule the visits? Enter your answer as a whole number, such as 42.
Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

Answer:

120 different ways

Step-by-step explanation:

For the first shopping mall being visited, the candidate has 5 options

Then, for the second mall being visited, there is only 4 options, as one mall was already visited.

Following this logic, there is 3 options for the third mall, 2 options for the fourth mall and 1 option for the last mall.

So the total number of ways that the visits can be scheduled is the product of all these options:

5*4*3*2*1 = 120 different ways

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A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,
Irina18 [472]

9514 1404 393

Answer:

  15

Step-by-step explanation:

In vector form, the equation of point p on the line can be written as ...

  p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t

  p = (-3, -4) +t(28, 42)

  p = (-3, -4) +14t(2, 3)

where t takes on any value between 0 and 1.

If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.

There are 15 values that n can have in the allowed range.

The caterpillar touches 15 points with integer coordinates.

7 0
3 years ago
7x+3+6x+11 i need help solving this problem
____ [38]
Step-by-step solution:

7x + 3 + 6x + 11 = 0

7x + 6x + 11 + 3 = 0

13x + 11 + 3 = 0

13x + 14 = 0

13x = 0 - 14

13x = -14

x = -14 / 13

x = -1.077 approx.




Hope it helped,



BioTeacher101
8 0
3 years ago
Match the equations with their solutions over the interval [0, 2π].
nignag [31]

I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs are:

cos(x)tan(x) – ½ = 0 → π/6 and 5π/6

cos(π/6)tan(π/6) – ½ = 0

cos(5π/6)tan(5π/6) – ½ = 0

 

sec(x)cot(x) + 2 = 0 → 7π/6 and 11π/6

sec(7π/6)cot(7π/6) + 2 = 0

sec(11π/6)cot(11π/6) + 2 = 0

 

sin(x)cot(x) + 1/sqrt2 = 0 → 3π/4 and 5π/4

sin(3π/4)cot(3π/4) + 1/sqrt2 = 0

sin(5π/4)cot(5π/4) + 1/sqrt2 = 0

 

csc(x)tan(x) – 2 = 0 → π/3 and 5π/3

csc(π/3)tan(π/3) – 2 = 0

csc(5π/3)tan(5π/3) – 2 = 0

5 0
4 years ago
Read 2 more answers
Diego bought a bicycle that cost $180. In addition he had to pay 8% sales tax on it.
yaroslaw [1]

Answer:

$14.40

Step-by-step explanation:

$180 * 8% ( Or 0.08 )

7 0
3 years ago
In which section of the number line is √5?
Ymorist [56]

We know that \sqrt(4) and \sqrt(9) are 2 and 3 respectively. Therefore, /sqrt(5) is between 2 and 3, approximately 2.2.

6 0
3 years ago
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