Multiply the following complex numbers: (5+3i)(4+2i) O A. 14 - 22i; B. 26 + 22i O C. 14+ 22i D. 26

My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 6 chocolates at random from his snack jar. Unb

Nikolay [14]

Answer:

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

Step-by-step explanation:

The order in which the chocolates are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many possible outcomes are there the first time he grabs 6 chocolates?

6 chocolates from a set of 16. So

$C_{16,6} = \frac{16!}{6!(16 - 6)!} = 8008$

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

7 0

3 years ago

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, $\frac{spirit}{varnish}=\frac{25}{75}$

$=\frac{1}{3}$

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let $x$ be the quantity of total solution.

Then, $240:x=3:4$ .

⇒ $\frac{240}{x}=\frac{3}{4}$

⇒ $3x=240*4$

⇒ $x=\frac{240*4}{3}$

⇒ $x=320$

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒ $\frac{Height}{Width} =\frac{15}{10}$

⇒ $\frac{Height}{Width} =\frac{3}{2}$

Hence, the ratio of tapestries' heights to width is 3:2.

8 0

3 years ago

Point A is at (-7, -9) and point M is at (-0.5, -3).

Anit [1.1K]

Answer:

B ( 6 , 3 )

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

Coordinates of midpoint are ( $\frac{x_{1} +x_{2} }{2}$ , $\frac{y_{1} +y_{2} }{2}$ )

~~~~~~~~~~~~~~~~~~

A ( - 7 , - 9 )

B ( x , y )

M ( - 0.5 , - 3 )

$\frac{-7+x}{2}$ = - 0.5 ⇒ x = 6

$\frac{-9+y}{2}$ = - 3 ⇒ y = 3

B ( 6 , 3 )

8 0

3 years ago

How much would it have rained each month if the total amount of rain

stealth61 [152]

Answer:1.09090909091

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

There are 32 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to ha

andre [41]

32 (forwards) /16 (team's) =2 forwards on each team 80 (gaurds) / 16 (team's) =5 gaurds on each team

5 0

3 years ago

Read 2 more answers

Multiply the following complex numbers: (5+3i)(4+2i) O A. 14 - 22i; B. 26 + 22i O C. 14+ 22i D. 26 - 22i​

Multiply the following complex numbers: (5+3i)(4+2i) O A. 14 - 22i; B. 26 + 22i O C. 14+ 22i D. 26 - 22i