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aalyn [17]
3 years ago
12

The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl

an such a tour if the traveler can only choose the five cities (the order is determined by the travel company).
A. 3,003

B. 15

C. 3

D. 360,360

E. 759,375

F. 75
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

The correct answer is D. 360,360.

Step-by-step explanation:

Number of cities as stopovers available for selection for an European tour = 15

A traveler has to select a total of five cities from these the given 15 cities for his tour and order is determined by the travel company.

Therefore the number of ways the traveler plan such a tour is given by \left[\begin{array}{ccc}15\\5\end{array}\right] = 3003.

Now the order of the cities chosen by the travel company is given by 3003 × 5! = 360,360 ways.

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Please help me with this homework
snow_lady [41]

Answer:

10.44 m

Step-by-step explanation:

Solve this as a triange. The base is 3m and the perpendicular is 10m. The angle between the base and wall is 90° so it will be a right angled triangle.

Solve this by Pythagoras theorm:

let length of ladder is c

base is b

And perpendicular is a

Acc to Pythagoras theorem:

C² = a² + b²

C² = 10² + 3²

C² = 100 + 9

C² = 109

√C² = √109

C = 10.44m

8 0
3 years ago
Find the inverse of g(x) = 3x^2 - 5
Lorico [155]

Answer:

x

=

√

y

+

5

3

Explanation:

To find the inverse of a function expressed as

XXX

y

=

an expression in

x

rearrange the expression into the form:

XXX

x

=

an expression in

y

Given

XXX

y

=

3

x

2

−

5

Switch sides and add

5

to both sides

XXX

3

x

2

=

y

+

5

Divide both sides by

3

XXX

x

2

=

y

+

5

3

Take the square root of both sides

XXX

x

=

±

√

y

+

5

3

Since we were asked for an inverse function, I've eliminated the non-primary root (a function can not have two values for a single argument value).

Therefore

XXX

x

=

instead of Y do G

Step-by-step explanation:

4 0
3 years ago
36 is 72% of what number
Dmitry_Shevchenko [17]
36/72=0.5
0.5*100=50
Therefore 36 is 72% of 50

Hope this helps :)
5 0
3 years ago
Read 2 more answers
Type the numerical answer ONLY. (no spaces)
Fantom [35]

Answer:

98

Step-by-step explanation:

Mathematically, when we add all the angles of a triangle, we get 180

Thus;

x + 1 + 2x-2+ 3x-5 = 180

6x-6 = 180

6x = 186

x = 186/6

x = 31

so the measure of the biggest angle is 3x -5

= 3(31) + 5 = 93 + 5 = 98

7 0
3 years ago
tony spent $60.54 and bought 3 packs of notebooks and a calculator. how much does a pack of notebooks cost if a calculator costs
Amiraneli [1.4K]
First you need to find out the remaining value after he bought the calculator this would be 14.67.

60.54 - 45.87= 14.67

Next youll assume the packs of notebooks all cost the same and divide by 3

14.67 / 3 = 4.89

He spent 4.89 on one pack of notebooks
6 0
3 years ago
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