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tensa zangetsu [6.8K]
3 years ago
12

Suppose 29 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0

any of the 34 cars can finish first  

any of the remaining 33 cars can finish second

any of the remaining 32 cars can finish third  

 

Thus, the top 3 finishes can be done in (34)(33)(32) = 35904 ways

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You are asked to run two wires. The total length of the wires is 16m. One of the wires needs
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One wire is 8.5m, and the other wire is 7.5m.
8 0
4 years ago
Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.
Alla [95]

Answer:

The essence of Mathematics lies in its freedom

7 0
3 years ago
Designer Dolls found that its number of Dress-Up Dolls sold, N, varies directly with their advertising budget, A, and inversely
Radda [10]

Answer:

25,600

Step-by-step explanation:

You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:

$54,000    →   9,600

$144,000   →       x

x=\frac{144,000*9,600}{54,000}

x=25,600

According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.

4 0
3 years ago
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
Ira Lisetskai [31]

Solution: The factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1).

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for x=-1, therefore (x+1) is a factor of given function.

Use synthetic method to divide the given polynomial for by (x+1). Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So f(x)=(x+1)(x^3+9x^2+26x+24)

Similarly (x+2) is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.

Use synthetic method to divide the parenthesis polynomial for by (x+2). it is shown in figure 2.

So

f(x)=(x+1)(x+2)(x^2+7x+12)\\f(x)=(x+1)(x+2)(x^2+3x+4x+12)\\f(x)=(x+1)(x+2)(x(x+3)+4(x+3))\\f(x)=(x+1)(x+2)(x+3)(x+4)

Hence the factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1). The graph of the given function is given in figure 3.


4 0
3 years ago
Tina babysat eight times. She earned $15, $20, $10, $12, $20, $16, $80, and $18. What is the average amount of money she made?
AleksAgata [21]
The mean is 23.875. That would be roughly $24 each time

6 0
3 years ago
Read 2 more answers
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