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SCORPION-xisa [38]
3 years ago
6

six runners are entered in a race.Assume there are no ties In how many ways can first and second place be awarded

Mathematics
1 answer:
cluponka [151]3 years ago
7 0
P(6,2) = 6!/(6-2)!
P(6,2) = 6!/4! 6! = 1*2*3*4*5*6 4! = 1*2*3*4
P(6,2) = (1*2*3*4*5*6)/(1*2*3*4)
P(6,2) = (5*6)/1
P(6,2) = 30
I hope this makes sense. Let me know if you don't understand any of this. ☺♥

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170 milliliters is the answer
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3 years ago
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Please help with this one
anyanavicka [17]

Ok this inequality tells you the number of devices you can have before the new plan costs more than the old plan. The new plan expression is $4.50x + $94m =  y ( total cost). The old plan is $175m = y (total cost). You can see m (number of months) in both equations, you don't need it this time since we're going to to compare both to one month. Since they're both equal to y you can make them equal to each other. $4.50x + $94 = $175. Now you want to figure when the new plan is less than the old plan you switch the equal sign for a less than sign. $4.50x + $94 < $175; this will help you find the inequality you want. From there just use algebraic steps to find that x has to less than 18 or

x < 18.

3 0
4 years ago
Which of the following describes the function −x3 + 5?
algol13

Answer:

The correct choice is C

Step-by-step explanation:

The given function is:

-x^3+5

The degree of this function is odd so the function will rise at one end and fall on the other end.

Since the coefficient of the leading term is negative, the graph of the function will rise at the left and fall on the right.

The correct answer is option C.

4 0
3 years ago
Write the equation of the line that is parallel to the y-axis and passes through the point (7,0)
Afina-wow [57]

The equation of the line is x = 7 which is parallel to the y-axis and passes through the point (7,0)

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

We have:

The line that is parallel to the y-axis and passes through the point (7,0)

As we know the line equation:

Parallel to the y-axis

x = c

Passes through the point (7,0)

x = 7

Thus, the equation of the line is x = 7 which is parallel to the y-axis and passes through the point (7,0)

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

8 0
2 years ago
What value of k makes the statement true?<br> x² (2x³ + 7x²yª) = 2xªyª + 7x³y8?
Nina [5.8K]

By apply the distributive property of multiplication, the value of k which makes the statement true is 1.

<h3>What is the distribution property?</h3>

Mathematically, the distributive property of multiplication is given by tis expression:

x(y + z) = xy + xz.

Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:

k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸

Dividing both sides by the common factor, we have:

k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)

k = 1.

In conclusion, the value of k which makes the statement true is 1.

Read more on distributive property here; brainly.com/question/2807928

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<u>Complete Question:</u>

What value of k makes the statement true?

x^ky⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸

5 0
2 years ago
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