Estimate the square root or round to the nearest integer √17,√242,√320

How many ways are there to select 12 countries in the United Nations to serve on a council if 5 are selected from a block of 45,

melomori [17]

Answer:

There are 436937109262510348800 ways to selected 12 countries.

Step-by-step explanation:

Let $x_1, x_2, x_3, x_4,x_5$ the countries selected from the block of 45. For $x_1$ there are 45 options of countries to select. For $x_2$ there are 44 options of countries to select because there can be no repeated countries. With the same reasoning, for $x_3$ there are 43 options, for $x_4$ there are 42 options and for $x_5$ there are 41 options.

Let $x_6, x_7, x_8, x_9$ the countries selected from the block of 57 countries. For $x_6$ there are 57 options of countries to select. For $x_7$ there are 56 options of countries to select because there can be no repeated countries. With the same reasoning, for $x_8$ there are 55 options and for $x_9$ there are 54 options.

Let $x_{10}, x_{11}, x_{12}$ the countries selected from the block of 69 remain countries. For $x_{10}$ there are 69 options of countries to select. For $x_{11}$ there are 68 options of countries to select because there can be no repeated countries and for $x_{12}$ there are 67 options.

For find the total of options o ways to select 12 countries we multiply the above options.

$45*44*43*42*41*57*56*55*54*69*68*67= 436937109262510348800$

8 0

3 years ago

Given 4/ (-2 - 6sin(theta)) What type of directrix does this conic have?

atroni [7]

Answer:

a horizontal line

Step-by-step explanation:

The hyperbola opens vertically, so the directrix is a horizontal line (a different one for each branch).

6 0

3 years ago

Evaluate the expression when C=1/2 and D=1/12<br> 3(1/4+C²)+2D<br> Please hurry!

Mkey [24]

Answer is 1 1/12
3(1/4 + 1/2^2)+ (2x1/12)
3/4+1/4+2/12 (you get to this part by distributing 3 throughout the parentheses)
9/12+3/12+2/12= 1 1/12 hope this helps

4 0

3 years ago

Read 2 more answers

Help?

MAXImum [283]

Answer:

$32.39

Step-by-step explanation:

She has a 15-gallon tank and it has 1/5 a tank of gas left (so about 3/15)

Because she needs to refill it and already has 1/5, she'll only need to pay for 4/5 a tank of gas (12/15).

So the equation should be 12 times $2.699.

12 × 2.699 = 32.388