In a state lottery, four digits are drawn at random one at a time with replacement from 0 to 9. Suppose that you win if any permutation of your selected integers is drawn. Give the probability of winning if you select

Answers

Answer 1
Final answer:

The probability of winning in the state lottery is 0.24%.

Explanation:Probability of Winning in the State Lottery

To calculate the probability of winning, we need to consider the total number of possible outcomes and the number of favorable outcomes. In this case, there are 10 choices for each digit, so the total number of possible outcomes is 10 x 10 x 10 x 10 = 10,000. Since any permutation of the selected integers counts as a win, we have 4! = 4 x 3 x 2 x 1 = 24 favorable outcomes.

Therefore, the probability of winning is 24/10,000 = 0.0024, or 0.24%.

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Answer 2

The probability of winning by selecting unique digits is 0.0024 or 24/10,000.

We first determine the total number of possible outcomes when drawing four digits. Since the digits range from 0 to 9, there are 10 possible choices for each digit.

Total outcomes = 10 choices for the first digit * 10 choices for the second digit * 10 choices for the third digit * 10 choices for the fourth digit

= 10⁴ = 10,000.

Now, if you select four specific digits, we need to consider the number of ways these digits can be arranged, which is calculated using permutations. If all selected digits are unique, the number of permutations is 4! = 24.

If you select digits with repetitions, the calculation varies. For example, if you select 1, 2, 2, and 3, the permutations would be 4! / 2! = 12.

Assuming you selected four unique digits, the probability of winning is given by the number of favorable outcomes divided by the total outcomes. Thus, the probability of winning with unique digits is:

Probability = Number of favorable outcomes / Total outcomes

= 24 / 10,000

= 0.0024.


Related Questions

Rational Expressions
5n/15 + 7n/15

Answers

8/n17 to the power of 6 and also this is not a correct answer i just hate having to answer questions...

A rectangular piece of cardboard, 8 inches by 14 inches, is used to make an open top box by cutting out a small square from each corner and bending up the sides. What size square should be cut from each corner for the box to have the maximum volume?

Answers

Answer:

x = 1.64 in   the size of the side of the square

Step-by-step explanation:

Let call x side of the square to be cut from cornes, then:

First side of rectangular base

L = 14 - 2*x

And the other side

d = 8 -2*x

Then Volume of the box

V(b) = L*d*x

V(x) =  ( 14- 2*x ) * ( 8 -2*x)*x

V(x) = ( 112 -  28*x  -16*x + 4*x² )*x    ⇒  4*x³ - 44*x² + 112*x

Taking derivatives on both sides of the equation we get:

V´(x) = 12*x² - 88*x +112

V´(x) = 0       ⇒     12*x² - 88*x +112 = 0

A second degree equation, solvin it

3x² - 22*x +  28 = 0

x₁,₂ = [ 22 ± √484 - 336   ] / 6

x₁   =  (22 + 12,17) /6         x₂  =  ( 22 - 12.17 ) / 6

x₁   =  5.69     We dismiss this solution since it make side 8 - 2x  a negative length

 x₂  =  9.83/6      

x₂  =  1.64

Then x = x₂  = 1.64 in

Answer:

1.64 in

Step-by-step explanation:

Terry pays £635.71 a year on his car insurance. The insurance company reduces the price by 5.3%. How much does the insurance cost now? Give your answer rounded to 2 DP.

Answers

The insurance costs £602.02 now.

Step-by-step explanation:

Amount paid for car insurance = £635.71

Price reduce = 5.3%

Amount of reduce = 5.3% of amount paid

Amount of reduce = [tex]\frac{5.3}{100}*635.71[/tex]

Amount of reduce = [tex]0.053*635.71[/tex]

Amount of reduce =  £33.69263

Rounding off to two decimal place

Amount of reduce =  £33.69

Reduced price = Amount paid - Amount of reduce

Reduced price = 635.71 - 33.69 =  £602.02

The insurance costs £602.02 now.

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Original price × (1 - reduction percentage) = Reduced price. £635.71 × (1 - 0.053) ≈ £602.97 (rounded to 2 DP).

let's break it down step by step:

1. Calculate the reduction amount:

  Multiply the original price (£635.71) by the reduction percentage (5.3% or 0.053).

  Reduction Amount = £635.71 * 0.053

2. Subtract the reduction amount from the original price:

  Subtract the reduction amount from the original price to find the reduced price.

  Reduced Price = £635.71 - Reduction Amount

Now, let's plug in the values:

1. Calculate the reduction amount:

  Reduction Amount = £635.71 * 0.053

                   ≈ £33.73763

2. Subtract the reduction amount from the original price:

  Reduced Price = £635.71 - £33.73763

                ≈ £602.97237

Rounded to two decimal places:

Reduced Price ≈ £602.97

So, after the 5.3% reduction, Terry's car insurance costs approximately £602.97.

Create an explicit equation for each recursively defined sequence below:

Answers

Part A

This is an arithmetic sequence with starting term a(1) = 17 and common difference d = -7.

a(n) = a(1) + d(n-1)

a(n) = 17 + (-7)(n-1)

a(n) = 17-7(n-1)

a(n) = 17-7n+7

a(n) = -7n+24 is the final answer

========================================================

Part B

We have a geometric sequence here because we multiply by the same quantity (5) each time. This makes the common ratio be r = 5.

The starting term is t1 = 3

The nth term of this geometric sequence can be expressed as...

t(n) = t1*(r)^(n-1)

t(n) = 3*(5)^(n-1) is the final answer

Over the summer Mr.Patel refilled a bird feeder 24 time using 6 cups of seeds each time.A bag of seeds holds 32 cups. How many bags of seeds did Mr.Patel use write an equation to represent the problem

Answers

Answer:

The equation representing the problem is [tex]x=\frac{24\times 6}{32}[/tex].

Mr. Patel used 5 bags of seeds.

Step-by-step explanation:

Given:

Number of times bird feeder refilled =24

Number of cups of seeds used each time = 6 cups

Number of seeds each bag holds = 32 cups.

We need to write the equation to represent the problem.

Solution.

Let the total number of bag of seed be 'x'.

First we will find the Total number of cups of seeds used.

Now we can say that;

Total number of cups of seeds used can be calculated by multiplying Number of times bird feeder refilled by Number of cups of seeds used each time.

framing in equation form we get;

Total number of cups of seeds used = [tex]24\times6 \ cups[/tex]

Now We know that;

1 bag holds = 32 cups

Total number of bags required = [tex]24\times6 \ cups[/tex]

So we can say that;

Total number of bags required is equal to Total number of cups of seeds used divided by number of seed hold by each bag.

framing in equation form we get;

[tex]x=\frac{24\times 6}{32}[/tex]

Hence the equation representing the problem is [tex]x=\frac{24\times 6}{32}[/tex].

On solving we get;

[tex]x=4.5[/tex]

Since bags cannot be bought in half or in decimal value.

Hence we can say Mr. Patel used 5 bags of seeds.

How long would it take for a ball dropped from the top of a 576576-foot building to hit the ground? Round your answer to two decimal places.

Answers

Answer:

5.98 s

Step-by-step explanation:

576 ft = 576 / 3.28 = 175.56 m

Let g = 9.81 m/s2. The time it takes for the ball to fall from 165.56 m high to the ground is

[tex]s = gt^2/2[/tex]

[tex]t^2 = 2s/g = 2*175.56/9.81 = 35.8[/tex]

[tex]t = \sqrt{35.8} = 5.98 s[/tex]

Find a function of the form

y=Asin(kx)+C or y=Acos(kx)+C whose graph matches this one:

Answers

Answer:

  y = 2sin((π/7)x)

Step-by-step explanation:

The graph goes through (0, 0) and has a range of ±2. This matches a sine function with an amplitude (A) of 2 and a vertical offset (C) of zero.

The half-period is 7, so the value of k is such that 7k = π, or k = π/7.

The desired function is y = 2·sin((π/7)x).

What is the difference?


2x + 5/x 2 - 3x - 3x + 5/x3 - 9x - x + 1/x2 - 9


(x + 5)(x + 2)/x3 - 9x

(x + 5)(x + 4)/x3 - 9x

-2x + 11/x3 - 12x - 9

3(x + 2)/x2 - 3x


Edit: It's A

Answers

Answer:

The option [tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex] is correct

The difference of the given expression is

[tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})[/tex]

To find the difference of the given expression as below :

[tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})[/tex]

[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})[/tex]

[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})[/tex]

[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})[/tex]  

( using the formula [tex]a^2-b^2=(a+b)(a-b)[/tex] )

[tex]=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}[/tex]

[tex]=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}[/tex] (adding the like terms)

[tex]=\frac{x^2+7x+10}{x(x^2-9)}[/tex] ( by factoring the quadratic polynomial )

[tex]=\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Therefore [tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Therefore the difference of the given expression is

[tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Therefore option [tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex] is correct

Answer:

A

Step-by-step explanation:

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

(1,4) and (-1,2)

Answers

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

[tex]Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Substituting the values we get

[tex]Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1[/tex]

Also Slope of line when angle ' θ  ' is given as

[tex]Slope=\tan \theta[/tex]

Substituting Slope = 1 we get

[tex]1=\tan \theta[/tex]

[tex]\tan \theta=1\\\theta=\tan^{-1}(1)[/tex]

We Know That for angle 45°,

tan 45 = 1

Therefore

[tex]\theta=45\°[/tex]

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

A baseball is thrown at an angle of 30° with respect to the ground and it reaches the ground in 2 seconds. What is its initial velocity of baseball?

Answers

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

                  [tex]t = \frac{2vosin\alpha}{g}[/tex]

Solve for vo

             [tex]vo = \frac{tg}{2sin\alpha}[/tex]

Substitution

            [tex]vo = \frac{(2)((9.81)}{2sin 30}[/tex]

Simplification

           [tex]vo = \frac{19.62}{2(0.5)}[/tex]

           [tex]vo = \frac{19.62}{1}[/tex]

Result

            vo = 19.62 m/s

The exponential functions y=(1-25)^x-2/5. -10 is shown hraphed along woth the horizontal line y=115 their intersection is (a,115) start by using wht they give you for the point of intersection ans substitute that into the given equation

Answers

Final answer:

To find the point of intersection between the given exponential function and the horizontal line, substitute the y-value (115) into the equation and solve for x.

Explanation:

To find the point of intersection between the exponential function y=(1-25)^x-2/5 and the horizontal line y=115, we can substitute the given y-value (115) into the equation and solve for x. By substituting y=115 into y=(1-25)^x-2/5, we can rewrite the equation as 115=(1-25)^x-2/5. This allows us to solve for x and find the x-coordinate of the point of intersection.

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Final answer:

To find the intersection point, substitute the y-coordinate (115) into the exponential function and solve for x using ln(1-25).

Explanation:

To find the intersection point between the exponential function and the horizontal line, we substitute the y-coordinate of the intersection point (which is 115) into the given exponential function. We then solve for x.

Substituting y = 115 into the exponential function, we have (1-25)^(x-2/5) = 115. Taking the natural logarithm of both sides, we get (x-2/5)ln(1-25) = ln(115). Solving for x, we divide both sides by ln(1-25) and add 2/5 to get x = ln(115)/ln(1-25) + 2/5.

Therefore, the intersection point is (x, 115), where x = ln(115)/ln(1-25) + 2/5.

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​Bacteria can multiply at an alarming rate when each bacterium splits into two new cells, thus doubling. If a single bacterium is discovered at 9 a.m. and doubles every hour, how many bacteria will there be at the end of the day (midnight)?

Answers

65,536 cells of bacterium

Answer: 135

Step-by-step explanation:

(40 pts) Corresponding parts of similar triangles are congruent.


True


False

Answers

The answer is True.

Step-by-step explanation:

Corresponding parts of similar triangles are congruent, if the two triangles are similar and then the ratio of corresponding sides is equal to the ratio of angle bisectors, altitudes and the medians of the two triangles.Consider two triangles ABC and DEF which is proportional to each other and their corresponding altitudes, medians and angle bisectors are also proportional. There are many types of triangles some of them are  equilateral triangles, right triangles, obtuse triangles, acute triangles, etc.

Answer:

True

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent

Charles has already broken 14 eggs, and he's breaking eggs at a rate of 12 per minute. Louis has already broken 22 eggs, and he's breaking eggs at a rate of 10 per minute. How many minutes will it take Charles to have broken as many eggs as Louis?

Answers

Answer:

4 minutes - |12 x 4 = 48|    |48 + 14 = 62|    Charles = 62

10 x 4 = 40|     40 + 22 = 62

Step-by-step explanation:

If he has 14 all we have to do is keep multiplying 12 by x and 10 by x add them to their correct person until Charles has more eggs broken then Louis

____________is the practice of putting students into specific curriculum groups based on their test scores and other factors.

Answers

Answer: Tracking is the practice of putting students into specific curriculum groups based on their test scores and other factors.

Tracking is the practice of grouping students based on their abilities and test scores. It involves sorting students into different curriculum groups. Ability grouping and tracking are used to place students on specific educational tracks.

Tracking is the practice of putting students into specific curriculum groups based on their test scores and other factors. This process involves classifying students based on academic merit or potential and is a formalized sorting system that places students on 'tracks' that perpetuate inequalities. Ability grouping and tracking are strategies used to group students according to their perceived abilities for educational purposes.

Abby has a collection of 61 dimes and nickels worth $4.40. How many nickels does she have? Show steps

Answers

Answer:

  34 nickels

Step-by-step explanation:

First, consider the value if they were all dimes. That would be 61×$0.10 = $6.10. Next, realize this is more than the actual amount by 1.70. Of course, replacing one of the 61 dimes by a nickel reduces the total amount by $.05, so we must have ...

  $1.70/$0.05 = 34

nickels in the mix.

Abby has 34 nickels.

_____

Alternate solution methods

I like to solve these using number sense, as above. Equivalently, an equation can be written using n to represent the number of nickels. The total value is then ...

  .05n + .10(61 -n) = 4.40

  -.05n +6.10 = 4.40 . . . . . . eliminate parentheses

  -.05n = -1.70 . . . . . . . . . . . subtract 6.10

  n = -1.70/-.05 = 34

Hopefully, you notice some similarities between this solution and the one in words, above.

__

Often, you will see this sort of problem formulated using two equations.

  n + d = 61 . . . . . . . . . . number of coins (d=#of dimes)

  .05n +.10d = 4.40 . . . .value of coins

If we solve this by substitution, we can use d=61-n, and get ...

  .05n +.10(61-n) = 4.40 . . . . . . looks like our equation in the previous section

Final answer:

By creating two equations for the total value of coins and the total number of coins Abby has, we can solve for both the number of dimes and nickels she holds. After doing the required calculations, we find that Abby has 34 nickels.

Explanation:

The subject of this question is algebra and it involves solving a system of equations. This is a classic problem that can be solved using two equations because we have two unknowns: the number of dimes and the number of nickels.

Since each dime is worth 10 cents and each nickel is worth 5 cents, and total value of Abby's coins is $4.40 or 440 cents, we can write the value equation as:
10d + 5n = 440 -- (Equation 1)Also, we know the total number of coins, which is 61, so we can write the count equation as:
d + n = 61 -- (Equation 2)We can now solve the system of equations using substitution or elimination method. Multiplying Equation 2 by 5 gives us:
5d + 5n = 305 -- (Equation 3)Subtracting Equation 3 from Equation 1, we get:
5d = 135, which simplifies to d = 27.Substitute d = 27 into Equation 2 to find n:
27 + n = 61, so n = 61 - 27 = 34.

So, Abby has 34 nickels.

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In a school one-third of all 240 students play soccer. Forty four students play both soccer and basketball and sixty students do not play any of these games. How many students play only basketball?

Answers

Answer:

100 students play only basketball.            

Step-by-step explanation:

We are given the following information in the question:

Total number of students in school = 240

Number of students that play soccer =

[tex]\dfrac{1}{3}\times \text{Total number of students}\\\\=\dfrac{1}{3}\times 240 = 80[/tex]

n(S) =80

[tex]n(S\cap B) = 44[/tex]

[tex]n(S'\cap B') = 60[/tex]

Formula:

[tex]n(S\cup B) = \text{Total} - n(S' \cap B')\\n(S\cup B) = n(S) + n(B) - n(S\cap B)[/tex]

Putting the values, we get,

[tex]n(S\cup B) =240-60=180\\n(S\cup B) = 180 = 80 - 44 + n(B)\\n(B) = 180 - 80 + 44= 144[/tex]

Thus, 144 students play  basketball.

Out of these 144, 44 plays soccer as well.

[tex]\text{Student only playing basketball} = 144 -44 = 100[/tex]

Thus, 100 students play only basketball and not soccer.

A cable car can safely carry n people. There are already 3/4n people on the cable car. Only 12 more people can board the cable car before it becomes unsafe. How many people at most can the cable car carry? Write an inequality then solve

Answers

Answer:

The answer is 48 people.

Step-by-step explanation:

We can write the equation like following:

[tex]n=(3n/4)+12\\4n=3n+48\\n=48[/tex]

The cable car can carry 48 people at most.

In triangle ABC, a = 2, c = 6, and cos B = . Find b.

Answers

Answer:

Use Law of Cosines, which is ß² = α² + c² - 2αccos(B) where <B is opp. to side ß.

Let α = 2, c = 6 and cos(B) = 1/6, so

ß = √(2² + 6² - 2(2)(6)(1/6))

= √(4 + 36 - 4)

= √36 = 6

At 1:30 Marlon left his house to go to the beach a distance of 6.75 mi. He rode his skateboard until 2:15 and then walked the rest of the way. He arrived at the beach at 3:00. Marlins speed on his skateboard is 2 times his walking speed. Find his speed when skateboarding and when walking

Answers

Answer: his speed when skateboarding is 6 mph and when walking is 3 mph

Step-by-step explanation:

Let x represent Marlon's walking speed.

Marlins speed on his skateboard is 2 times his walking speed. This means that his skating speed would be 2x.

At 1:30 Marlon left his house to go to the beach a distance of 6.75 mi. He rode his skateboard until 2:15. This means that the total time he spent skating is 45 minutes = 45/60 = 0.75 hours

Distance = speed × time

Distance covered while skating would be

2x × 0.75 = 1.5x

He walked the rest of the way. He arrived at the beach at 3:00. This means that the time that he spent walking is 45 minutes = 0.75 hours.

Distance covered while walking would be

x × 0.75 = 0.75x

Total distance covered is 6.75 miles. Therefore

1.5x + 0.75x = 6.75

2.25x = 6.75

x = 6.75/2.25

x = 3 miles per hour

His skating speed = 2 × 3 = 6 miles per hour.

What postulate or theorem proves the two triangles are similar?

Answers

Answer:sas

Step-by-step explanation:

Answer:

SAS

IS THE ANSWER

A can of soda is placed inside a cooler. As the soda cools, its temperature T(x)
in degrees Celsius is given by the following function, where x
is the number of minutes since the can was placed in the cooler.

T(x)=−12+28e-0.38x

Find the initial temperature of the soda and its temperature after 18
minutes.
Round your answers to the nearest degree as necessary.

Answers

Answer:

The initial temperature of the soda is 16°C

The temperature of the soda after 18 minutes is -12°C

Step-by-step explanation:

T(x) = -12+28e^-0.38x

When x = 0

T(0) = -12+28e^-0.38(0) = -12+28e^0 = -12+28(1) = -12+28 = 16°C

Initial temperature of the soda is 16°C

When x = 18

T(18) = -12+28e^-0.38(18) = -12+28e^-6.84 = -12+28(0.0011) = -12+0.0308 = -11.9692°C = -12°C (to the nearest degree)

The temperature of the soda after 18 minutes is -12°C

A community center has adopted two miles or 3520 wide of a highway to pick up trash along the side of the road falling tears are divided into 7 groups each group is a sign of equal length of Highway to clean up how many yards will each group clean up explained

Answers

Answer:

no it is 8 more so do it  one more time and you will get the answer 352? fine the number

Step-by-step explanation:

Which could be used to solve this equation? 3 1/5 +n =9

Answers

Answer:

A

Step-by-step explanation

You need to subtract the 3 1/5 from both sides, which gives you 29/5

Answer:

A

Step-by-step explanation:

You always to the opposite of the opporation already given.

Ernest and Gene have been saving coins every day for a sunny day in Arizona. Ernest has 8 more half dollars than Gene and no quarters. Gene has as many quarters as Ernest has half dollars, and each has 45 dimes. How many of each coin has each saved for the big day when $200 has been saved? Which of the following equations could represent the word problem if x is the number of half dollars that Gene has?a. 3x + 106 = 200
b. 125x + 916 = 20,000
c. 125x + 1,500 = 20,000

Answers

Answer:

1. Ernest has $82.5 and Gene has $117.5

2. c) 125x + 1500 = $20000

Step-by-step explanation:

If we mark Gene's half dollars with x, then it is given that Ernest has 8 more, which is x+8.

It is also given that Ernest has no quarters, but Gene has them as many as Ernest has half dollars, which is x+8.

And it is given that they both have 45 dimes each, which is $4.5 each.

Now, let's add up all these numbers:

Ernest: (x+8)•0.5 + 0•0.25 + 4.5 = 0.5x + 8.5

Gene: x•0.5 + (x+8)•0.25 + 4.5 = 0.75x + 6.5

They collected $200 together which means:

0.5x + 8.5 + 0.75x + 6.5 = $200

1.25x + 15 = $200

If we want to avoid decimal number, we can multiply whole equation with 100:

125x + 1500 = $20000

so, the correct answer is C.

Finally, to find x:

125x = 18500

x = 148

Ernest had 0.5x + 8.5 which is $82.5

Gene had 0.75x + 6.5 which is $117.5

An airplane flies horizontally from east to west at 320 mph relative to the air. If it flies in a steady 40-mi/hr wind that blows horizontally toward the southwest (45 degrees south of west). find the speed and direction of the airplane relative to the ground.

Answers

Answer:Speed of airplane= 43.18mi/he

Direction of the airplane relative to the ground=4.64°. Counter-clockwise rotation from west.

Step-by-step explanation: welovity/speed is represented as magnitudes of vectors.

Let A= the vector of the airplane

Let W= the vector of the wind

From the diagram,total vector F= A + w

F= 320+ 40cos45°I +0j) + (0i + 40sin46°)

F=320+28.28i+28.28j

To calculate the magnitude

/F/=root of A2 +w2

/F/=root320+40cos45°2+40sin45°2

/F/=root 1919.5168

/F/=43.18= speed

To calculate the direction of the airplane relative to the ground, use tan function because it is a right triangle as seen in the diagram

Tan x= opp/adj=40sin45/320+40cos45

Tanx=28.28/348.28

Tanx=0.091199

×=tan-1 0.091199

×=4.64

Mike and Kim invest $18,000 in equipment to print yearbooks for school. Each yearbook costs $5 to print and sells for $15. How many yearbooks must they sell before their business breaks even?a. 1,100 yearbooksb. 1,200 yearsbooksc. 3,600 yearbooksd. 1,800 yearsbooks

Answers

Answer:

1800yearbook(D)

Step-by-step explanation:

Cost of printing a year book = $5

A year book is sold at $15

The profit on each year book = $15 - $5 = $10

Let y represent the number of year books sold for a break even to occur.

A break even occurs when the amount sold is equals the amount invested

10y = 18000

y = 18000/10

y = 1800 yearbooks

According to the Uniform Commercial Code, a ________ requires a seller to get the goods to be shipped and delivered to a specific place of business designated by the buyer.

Answers

Answer:

destination contract

Step-by-step explanation:

Destination contract is invented to assure the goods to be shipped by the seller and to be delivered to the buyer to the location the buyer has selected. It can be a specific place of delivery or a business location.

Destination contract is meant as mean of assurance to avoid each side to take a risk.

n the sentence below identify the type of pronoun which the italicized word is.

It can stand by itself .

reflexive
intensive
interrogative
demonstrative
indefinite
relative
ITSELF is italicized

Answers

Answer:

Itself is a Reflexive Pronoun.

Step-by-step explanation:

The reflexive pronouns are words that end with prefixes "self or selves".When the object and the subject in the sentence are same then reflexive pronoun is  used. That is  It is to denote that the subject is doing something by or to itself .These reflexive pronoun can act either as a direct object or indirect object . It is preceded by the adverb, adjective, pronoun, or noun  to which it refers to. They  also allow us to point back to, or reflect on, the subject of the sentence with clarity. The nine English reflexive pronouns are

Myself Yourself Himself Herself Oneself ItselfOurselves Yourselves Themselves.

Help: Simplifying inside parenthesis first

Answers

Answer:

4th one

Step-by-step explanation:

a^-2 goes down and become a^2 and

[tex] {a}^{2} \times {a}^{2} = {a}^{4} [/tex]

b^-1 goes up and become b

[tex] {b}^{2} \times {b}^{1} = {b}^{3} [/tex]

that why answer is 4th...mark me brainliest please

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