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3 years ago

Find the value of each expression. Show your work. 10^C^4

1 answer:

6 0

$_nC_r = \frac{n!}{(n - r)!r!}$
<span> $_1_0C_4 = \frac{10!}{(10 - 4)!4!}$
</span> $_1_0C_4 = \frac{10!}{6!4!}$
$_1_0C_4 = \frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{6 * 5 * 4 * 3 * 2 * 1 * 4 * 3 * 2 * 1}$
$_1_0C_4 = \frac{10 * 9 * 8 * 7}{4 * 3 * 2 * 1}$
$_1_0C_4 = \frac{90 * 56}{12 * 2}$
$_1_0C_4 = \frac{5040}{24}$
$_1_0C_4 = 210$

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Martin is saving money to buy a new phone that costs $1,000 by selling trees. he is using an app to manage his sales, but it kee

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Step-by-step explanation:

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2 years ago

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3 years ago

Please Help me! Algebra 1

dem82 [27]

Option a: The number of bacteria at time x is 0.

Option b: An exponential function that represents the population is $y=200(1.5)^x$

Option c: The population after 10 minutes is 11534(app)

Explanation:

It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)

Option a: To determine the number of bacteria x when y = 200

From the graph, we can see that the line meets y = 200 when x = 0

Thus, the coordinates are (0,200)

Hence, the number of bacteria at time x is 0 when y = 200.

Option b: Now, we shall determine the exponential function of the population.

The general formula for exponential function is $y=a \cdot b^{x}$

Where a is the starting point and $a=200$

b is the common difference.

To determine the common difference, let us divide,

$\frac{300}{200} =1.5$

Also, $\frac{450}{300} =1.5$

Hence, the common difference is $b=1.5$

Thus, substituting the values $a=200$ and $b=1.5$ in the formula $y=a \cdot b^{x}$ ,

we have, $y=200(1.5)^x$

Hence, An exponential function that represents the population is $y=200(1.5)^x$

Option c: To determine the population after 10 minutes, let us substitute $x=10$ in $y=200(1.5)^x$ , since the x represents the population of the bacteria in minutes.

Thus, we have,

$\begin{aligned}y &=200(1.5)^{x} \\&=200(1.5)^{10} \\&=200(57.67) \\&=11534\end{aligned}$

Hence, the population after 10 minutes is 11534(app)

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3 years ago

Please solve 108 = 2X-4(2X-9)

Fynjy0 [20]

108=2x-4(2x-9)
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3 years ago