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3 years ago

Evaluate the expression 10C4

1 answer:

4 0

The number of combinations of 10 different things taken 4 at a time is: $\frac{10!}{4!(10-4)!}=\frac{10\times9\times8\times7}{4\times3\times2\times1}=210$
The answer is: 210

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-7 opposite and absolute value

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It is 7 opposite is different and absolute value would be 7 also it is always positive

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4 years ago

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What is the equivalent fraction of 24/126

g100num [7]

Answer:4/21

Step-by-step explanation:divide 6 by both sides

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4 years ago

In 5 seconds an athlete runs 40 feet. what is the average speed in miles per hour?

NikAS [45]

Answer:

12 x 40 = 480 feet per minute.

480 x 60 = 28800 feet per hour.

28800/5280 = 5.45 miles per hour.

Hope that helps.Thank you!!!

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3 years ago

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Find all complex solutions of X^2-5X -5= 0

denis-greek [22]

ANSWER

$x = \frac{ 5 - 3\sqrt{ 5} }{2} \: or \: x = \frac{ 5 +3 \sqrt{ 5} }{2}$

EXPLANATION

The given equation is

${x}^{2} - 5x - 5 = 0$

The solution is given by the formula

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

where a=1, b=-5, c=-5

We substitute into the formula to get;

$x = \frac{ - - 5 \pm \sqrt{ {( - 5)}^{2} - 4(1)( - 5)} }{2(1)}$

We simplify to get,

$x = \frac{ 5 \pm \sqrt{ 45} }{2}$

The solutions are:

$x = \frac{ 5 - 3\sqrt{ 5} }{2} \: or \: x = \frac{ 5 +3 \sqrt{ 5} }{2}$

The equation has no complex roots.

4 0

3 years ago

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Find the constant proportionality (r) using the value for r, enter an equation in the form of. C=rg that represents the relation

CaHeK987 [17]

Answer:

3.333

C = 3.3333g

Step-by-step explanation:

Given the relation : C = rg

C = Total cost of gasoline

g = Number of gallons of gasoline used

r = constant of proportionality

Picking any point on the graph :

At cost, c = $30

Number of gallons of gasoline used, g = 9

Putting the values into our equation :

C = rg

$30 = r * 9

30 = 9r

Divide both sides by 9

30/9 = 9r / 9

3.333 = r

Hence, constant of proportionality, r = 3.333

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3 years ago