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Paha777 [63]
3 years ago
5

Which strategies could you use to solve this

Mathematics
1 answer:
True [87]3 years ago
7 0

Answer:

All of them

Step-by-step explanation:

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Lisa and Krystal are planning trips to ten countries this year. They have 14 countries on their bucket list, in how many ways ca
Salsk061 [2.6K]

Answer:

1,001 ways for them to decide.

Step-by-step explanation:

The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

10 countries from a set of 14. So

C_{14,10} = \frac{14!}{10!(14-10)!} = 1001

1,001 ways for them to decide.

8 0
3 years ago
Vinny donates 15 dollars to charity every two weeks. At this rate, how long will it take Vinny to donate 90 dollars?​
bazaltina [42]

Answer:

6

Step-by-step explanation:

Because 90/15 =6

8 0
3 years ago
Read 2 more answers
Which equation is the inverse of y=100-x2
Harman [31]

Answer:

Inverse of y = f^{-1}(x) = \sqrt{100 -x}.

Step-by-step explanation:

Given  : f(x) = y = 100 - x²

To find : Find inverse.

Solution : We have given that :

f(x) = y = 100 - x²

Step1) : Replace every x with a y and replace every y with an x .

x = 100 - y².

Step 2): Solve for y

On subtracting 100 from both sides

x - 100 = -y²

On multiplying both side by -1

100 -x = y²

Taking square root both sides and switching sides

y = ± \sqrt{100-x}.

Step3 ) : Replace y with f^{-1}(x).

f^{-1}(x) = ± \sqrt{100-x}.

Therefore, inverse of y = f^{-1}(x) = ± \sqrt{100-x}.

3 0
4 years ago
What is the exact value? (Picture provided)
creativ13 [48]

Answer:

b.  (√15)/4

Step-by-step explanation:

Since Sin Ф = (opposite side)/Hypotenuse, we have 2 sides of a right triangle.  

Use Pythagorean theorem to solve for the missing leg (the adjacent side)

 1² + b² = 4²

    1 + b² = 16

            b² = 15

                 b = √15

So the adjacent side is √15, so Cos Ф = (√15)/4

6 0
3 years ago
Read 2 more answers
Find the surface area of the composite solid.
Katarina [22]

Answer:

343.6 meters cubed

Step-by-step explanation:

28+96+96+96+27.6=343.6

7 0
3 years ago
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