I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are

Answer:

x = 31.8°

Step-by-step explanation:

Applying the Law of Sines, we have:

[tex] \frac{sin(x)}{12} = \frac{sin(75)}{22} [/tex]

Multiply both sides by 12

[tex] \frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12 [/tex]

[tex] sin(x) = \frac{sin(75) \times 12}{22} [/tex]

[tex] sin(x) = 0.5269 [/tex]

[tex] x = sin^{-1}(0.5269) [/tex]

x = 31.8° (nearest tenth)

Answer:

Number = 857674.35

Step-by-step explanation:

Translating the word problem into a numerical format;

Eight hundred and fifty two thousand = 852,000

Six hundred and seventy four = 674

Thirty five hundredths = 35/100 = 0.35

Now, we would add all of the values together.

Number = 852,000 + 674 + 0.35

Number = 857674.35

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

Answer:

Find the missing values by using the formula:

= Row total * Column total/Grand total

                                                Win                         Loss                      Row total

Normal Conditions                 154                         66                          220

Harsh Conditions                    14                             6                            20

Column Total                          168                            72                         240

Win - Normal conditions:                                       Loss - Normal conditions

= 220 * 168/240                                                      = 220 * 72/240

= 154                                                                        = 66

Win  - Harsh conditions                                          Loss - Harsh conditions

= 20 * 168 / 240                                                       = 20 * 72/240

= 14                                                                           = 6

Answer:

20000

Step-by-step explanation:

115%-> 23000

100%->20000

Answer:

Please refer to the attachment

Answer= Let f" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">ff be the function defined by

f(x)=x2−4x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">f(x)=x2−4xf(x)=x2−4x

for x≥2" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x≥2x≥2. Find the inverse function indicating its domain and the range.

When I try to make x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xx the subject I get +" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">++and −" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">−− two answers for the inverse function. Is it the proper answer? The answer I got is

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Is it correct and how do I determine the domain and range of the function? Thanks

Answer:

1/3(9x+12)+4x+6=x

We move all terms to the left:

1/3(9x+12)+4x+6-(x)=0

Domain of the equation: 3(9x+12)!=0

x∈R

We add all the numbers together, and all the variables

3x+1/3(9x+12)+6=0

We multiply all the terms by the denominator

3x*3(9x+12)+6*3(9x+12)+1=0

Wy multiply elements

9x^2(9+18x(9+1=0

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because she only need a half of it

Answer:1/4

Step-by-step explanation:

Answer:

10) 3-2i

Step-by-step explanation:

to find the conjugate, you just need to change one of the signs in the expression

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

Answer:

 [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex] =  [tex]3(\frac{\pi }{4} )[/tex]

Step-by-step explanation:

Explanation:-

Given that

         [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex]

  =  [tex]\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)[/tex]

 = [tex]3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )[/tex]

=  [tex]3(\frac{\pi }{4} )+ 1 )[/tex]

=  [tex]3(\frac{\pi }{4} )[/tex]

Answer:

the answers is =5

Answer:

Step-by-step explanation:

I assume you want to simplify this expression.

First take away the parenthesis.

-5x+4+-1x+1

Now combine like terms.

-5x+-1x=-5x-1x=-6x.

4+1=5

So -6x+5 is your answer.

Step-by-step explanation:

substitute the given value in the standard form equation. it will give you the slope intercept form

Answer:

x = -360

Step-by-step explanation:

x/9 = x/10 - 4

=> x/9 - x/10 = -4

=> x/10 - x/9 = 4

=> 9x/90 - 10x/90 = 4

=> -x/90 = 4

=> -x = 90(4)

=> x = -360

Answer:

0.0679710145

I hope this will help you

Answer:

15:45 (or 15 to 45)

Step-by-step explanation:

Answer:

3/14

Step-by-step explanation:

In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.

So now find 5/14 - 1/7.

1/7 converted to a denominator of 14 is 2/14.

So we have 5/14-2/14 = 3/14. That is your answer.

The first thing that we should do is turn this into a mathematical formula.

[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .

This is more generally written as

[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]

So, our answer is 9/5 or 1.8

Answer: ( 2,12 )

Step-by-step explanation:

Answer:

A. 324

Step-by-step explanation:

60 x 4 = 240

8 x 8 = 64

1/2 x (5 x 8)= 20

Add them then you get 324

Answer:

Step-by-step explanation:

BED=52

BAC=43

B=180-43-52=85

DE/8=15/12, DE=10

BC/15=9/10, BC=13.5

(9+EC)/15=9/10, 9+EC=13.5, EC=4.5

BD/10=12/15, BD=8

Answer:

a)15=3+12=x

b)15=3x5=x

Step-by-step explanation:

hope this helps and if this is correct you can give brainliest if you want and if I am not correct tell me in the comments and I will fix it

Answer:

Read Explanation

Step-by-step explanation:

Hello I think I can help.

Lets go over A then work on B to see if me walking through it can help you understand better.

Lets use some real world stuff. Say that the big long rectangle with the 3 and the x in it is a big truck, driving down the road.

Now inside that truck we have a 3 and a X as it shows in the picture. And then on the outside of the truck it shows what we have total inside the truck which is 15.

Now 3 + x may not sound equal to 15 but its math and if you see the = sign between two things they are equal no matter how weird it may seems.

So inside the truck, the 3 + x is equal to the outside of the truck saying that inside it is 15.

Lets move onto the B and do the same thing using the truck.

Now inside the truck it is saying 3 multiplied by x this time. On the outside it is saying there is a total of 15 just like before.

It looks to me you don't even have to solve it as the model seems to already be solved. But lets explain it.

Just like the problem says, (15 = 3 times x) you can see the 3 times x in the truck by the 3 separate x's inside the truck. And on the outside you can see the 15, which is the total amount inside the truck. And we know this is true because in the equation it says 15 = 3 times x.

I am not sure if you have to solve these but we can go over that real quick as well since it is very simple.

To find what x is in these equations all you want to do is take the outside of the truck (which is 15) and divide it by the number we know (3), not the variable (which is x).

So if we do this :

(The outside of the truck or the one number on its own)

15

(Divide it by the other number we know of inside the truck, not the letter/variable)

3

And we get :

15/3 = 5

x = 5

And that is our answer and you can do the same thing to part A.

You can also check to see if you're right by doing the same thing but backwards.

This means we use multiplication and go right to left (5 and 3) instead of left to right like we did last time (15 and 3).

If we multiply the 5 and the 3 we get 15 which is the other number in the equation and proves we are correct!

I do hope this helps.

If you have any questions or concerns feel free to message me or comment! :)

Answer:

1100                                                                 brainliest please

Step-by-step explanation:

1000×2×0.05=100

1000+100=110

Answer:

$22395

Step-by-step explanation:

Answer:

40 lures

Step-by-step explanation

First, 10 for every 2  means multiplication. 2 goes into 8   4 times. 4x2=8

10 lures multiplied by 4 is 40.

I hope this helps! ツ

Answer:

c because its c its c and nothing but c