When multiplying two negative integers what is the sign of the product

Answer:

(a) 1,902,231,808,400

(b) 84

(c) 20

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!\cdot(n-k)!}[/tex]

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

[tex]{100\choose 9}=\frac{100!}{9!\cdot(100-9)!}[/tex]

        [tex]=\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400[/tex]

(b)

Compute the number of ways to select 6 people from 9 as follows:

[tex]{9\choose 6}=\frac{9!}{6!\cdot(9-6)!}[/tex]

        [tex]=\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84[/tex]

(c)

Compute the number of ways to select top 3 candidates from 6 as follows:

[tex]{6\choose 3}=\frac{6!}{3!\cdot(6-3)!}[/tex]

        [tex]=\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20[/tex]

Answer:

A

Step-by-step explanation:

Hopefully this helps

Answer:

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of the equal sides in an isosceles triangle are equal in measure.

m∠D = m∠F

(2x + 8) = (3x + 4)

3x - 2x = 8 - 4

x = 4

m∠D = m∠F = (3×4 + 4)°

                    = 16°

m∠D = m∠F = 16°

Since, sum of interior angles of a triangle = 180°

m∠D + m∠E + m∠F = 180°

16° + m∠E + 16° = 180°

m∠E = 180° - 32°

m∠E = 148°

Answer:

a

Step-by-step explanation:

did it

Answer:

P = 264m

A= 1089 m^2

Step-by-step explanation:

Answer:

its not just you, happening to me too and i think its something wrong with brainly not us

Step-by-step explanation:

Answer:

do you have a brainly account that you look up questions on?

Step-by-step explanation:

A few other people are having this problem also.

Answer:

y=-1.5x+3

Step-by-step explanation:

Answer:

lasjn sk sklan djsk

Step-by-step explanation: so jakbas akbsa

Answer: -14, -17, and -20

Step-by-step explanation: Study the sequence.

Notice that each number is 3 less than the number before it.

In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.

Now, if we continue with this same sequence,

-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.

So the next three numbers are -14, -17, and -20.

Answer:

8(n-4) click brainliest and thanks please

Answer:

$120

Explanation:

Data provided as per the given question below:-

Investment = $4,000

Coupon rate in percentage = 3%

The computation of yearly return is shown below:-

Yearly return = Investment × Coupon rate in percentage

= $4,000 × 3%

= $120

Therefore for computing the yearly return we simply investment with coupon rate in percentage.

Answer:

Perpendicular = 1

parallel = -1

Step-by-step explanation:

Parallel -  you must have the same slope, so it is -1

then, for a perpendicular line, the slope is the opposite, so 1

Step-by-step explanation:

y²-y¹/x²-x¹

4-(-2)/5-(-3)

6/8

=3/4

y²-y¹/x²-x¹

(-3)-5/3-(-6)

-8/9

= -8/9

Answer:

it is at 210 feet

Step-by-step explanation:

it rises 340 feet, then it descends 130 so we subtract 130 from 340 which gets us 210 feet.

Answer:

B. -4, -3

Step-by-step explanation:

The equation x^(2) + 7x + 12 can be factored using the AC method resulting in

( x + 4 )( x + 3 ).  So x = -4, -3. You can use foil to check.

Answer:

Does a square have rotation symmetry? Yes, a square can be rotated \begin{align*}90^\circ\end{align*} counterclockwise (or clockwise) about its center and the image will be indistinguishable from the original square.

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

If you rotate a square about its axis, in 90°, 180°, 270°, 360°, ... degrees, it looks to be the same.

9514 1404 393

Answer:

  2.49×10^7

Step-by-step explanation:

  14,200,000 +10,700,000 = 24,900,000 = 2.49×10,000,000

  = 2.49×10^7

_____

Your scientific or graphing calculator can tell you the sum and display it in scientific notation.

Answer:

I think the number is 26

Step-by-step explanation:

Because you need another whole number so you start with 15 then add on eleven to make it equel.

hope this helped.

Answer: 115.8

Step-by-step explanation:

THERE IS NO EXPLANATIONNNN

Answer:

19.3 x 6 is 115.8. if you wanna round it up its 119

Step-by-step explanation:

Answer:

x-35.75=40.00

Step-by-step explanation:

Let's use m as our variable.

So Marlen went to the mall and spent $35.75 on shoes. When she got home she had $40.00 in her purse.

An equation to represent this is : x-35.75=40.00

If you are interested in the value of x it is $75.75

Answer:

It is the second circle  I believe

Step-by-step explanation:

As you can see on the x side is always just going up 1, and the y side is 2 numbers behind the x side in the beginning. But the y side catches up to the x side, which you can see once the x and y side both have positive 1's. The the y side goes up 2 more while the x side only goes up once.

The maximum amount of bid for the toy will be equal to $80.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you win an online auction for a toy. Your winning bid of $60 is 75% of your maximum bid.

The maximum bid will be calculated as,

Maximum bid = ( 100 x 60 ) / 75

Maximum bid = $80

Therefore, the maximum amount of bid for the toy will be equal to $80.

To know more about an expression follow

https://brainly.com/question/19559630

#SPJ2

Answer:

the awnser is 256

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x₁, y₁) = (19 , -4)   & (x₂ ,y₂) = (17, -20)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

        [tex]= \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8[/tex]

m = 8

Parallel lines have same slope.

Parallel slope = 8

Slope of perpendicular line = [tex]\frac{-1}{m}[/tex]

Perpendicular slope = [tex]\frac{-1}{8}[/tex]