Identify the asymptotes of the graph.

x = 2, y = 2
x = –2, y = 2
x = 2, y = –2
x = –2, y = –2

Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2

Probability is the likelihood or chance that an event will occur. Given the following parameters

If P(A) = 1/6

P(B) = 5/12

P(A\B) + P(B\A) = 7/10

Required

p(AUB)

Recall that:

P(A|B)=P(AnB)/P(B)

P(B|A) = P(BnA)/P(A)

P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10

42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12

Determine P(AUB)

P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2

Hence the probability of P(AUB) is 1/2

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The unit rate per munchkin is $0.22.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

[tex]\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22[/tex]

Hence, the unit rate per munchkin is $0.22.

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Answer:

  150 ounces

Step-by-step explanation:

It is convenient to write an equation for the total amount of alcohol in the mix.

__

Let x represent the amount of pure alcohol added. Then the amount of alcohol in the mix is ...

  500(35%) +x(100%) = (500 +x)(50%)

  x = 500(15%) +x(50%) . . . . . . . subtract 500(35%)

  x(50%) = 500(15%) . . . . . . . . . . subtract x(50%)

  x = (500)(15%)/(50%) = 150 . . . . divide by the coefficient of x

150 ounces of pure alcohol should be added to produce the desired solution.

Answer:

47 and 49

Step-by-step explanation:

Answer:

2303

Step-by-step explanation:

Let the smaller of the two odd integers be x.

Then the next odd integer is x + 2.

Since the sum of these 2 integers is 96, we may write x + (x + 2) = 96

Now solving for x we obtain:

2x = 94

x = 47

To find the next value we can subtract 47 from 96, which is 49.

Hence, the required two integers are 47 and 49. Multiplying them, we get a product of 2303.

hope this helps!

We can solve this quadratic equation using factorisation method as follows

:x2−5x−36=0

x2+4x−9x−36=0

x(x+4)−9(x+4)=0

(x+4)×(x−9)=0

x+4=0orx−9=0

x=−4orx=9

The value of the proceeds on the third party discount note for the specified condition is $5968.28

Proceeds is the difference between maturity value of the original rate and the third party discounts. Or,

Proceeds = Maturity value of the original rate - Third party discounts

Let we take:

Then we get:

Maturity value = P(1 + RT) (use decimal value of R instead of percent. For that, divide the percentage value by 100 to convert it to decimal (if its in percent) ).

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

For this case, we're specified that:

Using banker's rule (which assumes 360 day year with 30 day months), we get:

Number of days from 17th march till 14th november = number of days from 17th march till 16th november - 2 = [tex]8 \times 30 - 2 = 238[/tex] (as there are 8 months in between, all of assumingly 30 days)

Converting this to year, we get:

[tex]T = \dfrac{238}{360} \approx 0.661[/tex] years.

Thus, we get:

Maturity value = [tex]P(1 + RT) \approx 6000 (1 + 0.11 \times 0.661) = 6436.26 \: \rm dollars[/tex]

And therefore, we get:

Third party discount =  Maturity value × R × T = [tex]6436.26 \times 0.11 \times 0.661 \approx 467.98 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third-party discount is:

maturity value - third party proceeds = [tex]6436.26 - 467.98 = 5968.28 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third party discount note for the specified condition is $5968.28

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If a profit margin is $10 per unit, what would their profit be per unit after selling 200 copters is $9.40.

First step

There are 2 defectives in 200 copters

Total profit=[(200-2)×$10]-($50×2)

Total profit=(198×$10)-$100

Total profit=$1,980-$100

Total profit=$1,880

Second step

Profit per unit=$1,880/200

Profit per unit=$9.40

Therefore their profit be per unit after selling 200 copters is $9.40.

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Answer:15/22

Step-by-step explanation:

Answer:

4 units (nearest whole number)

Step-by-step explanation:

Formula

[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]

Solution

Given:

[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]

[tex]\implies 201.06=4 \pi r^2[/tex]

[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]

[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]

[tex]\implies r=3.999980804...[/tex]

Therefore, the radius of the cone is 4 units (nearest whole number)

Answer:

$4,86

Step-by-step explanation:

Profit without expenses - $0,50×20 snow cones

=$10

Let's calculate the percentage the seller takes for the ingredients daily

The seller per day makes-$0,50×35 snow cones=$17,5

This means the percent he takes for the ingredients from his/her $17,5 daily is- $9÷$17,5 ×100=51,4%.

NB-the 51,4% is the percentage of money he/she takes from the $17,5 everyday

Therefore if on the raining day he made $10

Then $10×51,4÷100=$5,14

NB-the $5,14 is the money he will take for the ingredients on the raining day

Therefore $10-$5,14=$4,86

Therefore the total profit he made with expenses is $4,86

Answer:

y = -1/4x + 8

Step-by-step explanation:

original line is y - 4x = 4

y = 4x + 4

dy/dx = 4

gradient of line perpendicular to the original line

= -1/4

thus answer is y = -1/4x + 8

hope this helps!

Answer:

8%

Step-by-step explanation:

[tex] \frac{6.75}{84.37} = .08[/tex]

Answer:

  384 cubic centimeters

Step-by-step explanation:

We are given the base area and total area of a square pyramid and asked to find the volume. The typical volume formula for a pyramid requires that we know the height of it. We can use the formula for the surface area to find the slant height of a face, and we can use the slant height to find the height perpendicular to the base.

__

  total surface area = base area + area of 4 faces

  area of 4 faces = total surface area - base area

  area of 4 faces = 384 cm² -144 cm² = 240 cm²

  area of 1 face = 240 cm²/4 = 60 cm²

__

The side length of the square base is ...

  A = a²

  a = √A = √(144 cm²) = 12 cm

and the slant height of one face is ...

  A = 1/2as

  s = (2A)/a = (2×60 cm²)/(12 cm) = 10 cm

__

The distance from the center of the base to the edge of the base is (12 cm)/2 = 6 cm. That is one leg of the right triangle whose hypotenuse is the slant height of the face. The other leg of the triangle is the height of the pyramid:

  H² = s² -(a/2)² . . . . Pythagorean theroem solved for one leg

  H = √(10² -6²) = 8 . . . . cm . . . . height of the pyramid

__

Now we know the base area of the pyramid (B), and we know its height (H), so we can use the formula ...

  V = 1/3BH

  V = 1/3(144 cm²)(8 cm) = 384 cm³

The volume of the pyramid will be 384 cm³.

Answer:

I'm really not sure but I think it would be -22F

Step-by-step explanation:

negative 7 minus 15 is negative 22

Answer:

Opposite Sides of Parallelogram are equal

If All opposite sides are equal , it is Parallelogram

For this You need to use distance formula that is

√(x2-x1)2+(y2-y1) 2

Answer:

a) Positive

b) 146

Step-by-step explanation:

As the data os going up, it is a positive correlation. For part b, you need to draw a line through the general area of all the points and see how much revenue is made from raincoats.

Answer:

236

Step-by-step explanation:

Answer:

The First one

Step-by-step explanation:

Answer:

39.8°

Step-by-step explanation:

Soh Cah Toa

Soh: sine = opposite / hyp

Cah: cos = adj / hyp

Toa: tan = opp / adj

You have 2 sides so you would use tangent

tan θ = 5/6

tan^-1 (5/6)

= 39.8°

Let's break this problem into a few steps:

             ⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy

            ⇒ Amount of Candy left:  

                     Total amount of candy - (2/5) * Total amount of candy

                                                  = (6/7) Candy - (2/5) *(6/7)Candy

                                                  = (1 - (2/5)) * (6/7) Candy

                                                  = 3/5 * 6/7 = 18/35 Candy

Thus there is 18/35 of the candy left.

Answer:

48hours drivinh from two rates

Answer:

A and C

Step-by-step explanation:

Answer:

This is all I have right now. The ray makes me think about drawing a circle in the middle and somehow using the diameter to find the height of the triangle. It's just weird because we don't know the base and I'm not sure how to find that without at least knowing the height & using pythagorean theorem.

Although it's not much, hopefully this can steer you in the right direction! Maybe you're way smarter than me and know where to take it from here lol Good luck

Answer: no they don't both fit in one box.

Step-by-step explanation: first off, 200 plus 300 is 500, and both numbers are bigger. Then if you wanted to round it to the nearest 10, you would get 580. 580>500 so yeah. that won't work.

To determine the number that you would divide by to calculate the mean:

   ⇒ must determine the definition of the mean

Since there are 4 numbers:

 ⇒ the number would you divide by to calculate the mean is 4

Hope that helps!

Answer:

answer is either 1 or 3.5

Step-by-step explanation:

first you need to add all of the numbers together then divide by the amount of numbers ( in this case there are 4 numbers)

2+5+4+3=14

14/4=3.5 which gets you the mean

but sometimes it will want you to go a step further and do this-

finding the distance from each number from the mean found like this!

3.5-2=1.5

5-3.5=1.5

4-3.5=.5

3.5-3=.5

then add these together

1.5+1.5+.5+.5=4

then 4 divided by tghe amount of numbers which is 4

4/4=1 so that is taken a step further but the answer is either

Answer:9 is g and b

Step-by-step explanation:

because they all involved the answer

6 containers have paint in them.

Step-by-step explanation: Firstly we must convert them to similar fractions, so times the denominator of each fraction by the denominator and numerator of the other fraction (the denominator is the bottom number and the numerator is the top number.) So 3 times 1 is 3, 3 times 8 is 24, so the fraction of paint poured into each container changes to 3/24. 8 times 2 is 16, 8 times 3 is 24, so the total amount of paint poured is 16/24, divide the numerator of paint poured by the numerator of paint in each container, so 16 divided by 3, you get 5 remainder 1, the remainder 1 still counts as part of the next container so 6 container have paint in them.

Hope this helps.

Answer:

Part A: S^2= 3V/H

Part B: S =\sqrt{3\frac{v}{h} }

Part C: s=√3* 2,433,400 /138=230 metres

Part D: This website says that the length of Khufu’s Pyramid is about 230 meters. My calculation was correct.

Part E: S = √3*2,115,072/ 136 =216 metres

Part F: The length of Khafre’s pyramid is about 215.5 My calculation was a little off, but not by much.

Part G: 14 meters longer

Step-by-step explanation:

Part A:

I am going to solve:

So,

V=1/3 HS^{2}

Then, multiply both sides by 3:

V x 3= 1/3 HS^{2} x 3

So,

3V=HS^{2}

Then, we divide by H:

\frac{3V}{H}=\frac{HSs^{2} }{H}

So,

\frac{3V}{H}= s^{2}

Then switch sides:

s^{2}= \frac{3V}{H}

I hope this helps

Step-by-step explanation:

MARK A BRAIN LESS

Answer:

Part A: Inverse operations are operations that undo each other that is they result to the original number or variable.  s2 = 3V / H.

Part B: opposite operation of squaring is taking a square root. S = 3 v/h

Part C: s=√3 2,433,400 /138=230

Step-by-step explanation:

Im sorry thats all I know