Joseph found a cell phone and wants to return it to its owner. the phone requires a 4-digit code to gain access to the contact list. what is the probability that joseph will be able to unlock the phone on his first attempt? (assume that the numbers cannot be used more than one time.)

Using the law of cosines, it is found that the length of side AB is of AB = 13.

The law of cosines states that we can find the angle C of a triangle as follows:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

in which:

For this problem, the parameters are:

C = 120, a = 8, b = 7.

Hence:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

\(c^2 = 8^2 + 7^2 - 2(8)(7)\cos{120^\circ}\)

\(c^2 = 169\)

\(c = \sqrt{169}\)

c = 13.

Hence AB = 13.

More can be learned about the law of cosines at https://brainly.com/question/2491835

#SPJ1

Answer: A

Step-by-step explanation:

(f+g)x

4x - 9 +  12x +7

4x +12x - 9 +7

16x  - 2

answer - (f+g)x = 16x -2

Derek needs to make contributions of approximately $21,038.34 per year from his 26th birthday to his 65th birthday in order to accumulate $2,742,310.00 in his retirement account by the time he fully retires.

To determine the amount Derek needs in his retirement account on his 65th birthday, we can use the concept of present value. Since he plans to withdraw $184,036.00 per year, starting from his 66th birthday until his 90th, the cash flows can be treated as an annuity. The interest rate is 5.00%, and the time period is 25 years (from 66 to 90). Using the formula for the present value of an annuity, we can calculate the required amount. The formula is:

PV = PMT * (1 - \((1 + r)^(-n)\)) / r

where PV is the present value, PMT is the annual withdrawal amount, r is the interest rate per period, and n is the number of periods.

Plugging in the values, we get:

PV = $184,036.00 * (1 - \((1 + 0.05)^(-25)\)) / 0.05 ≈ $2,744,607.73

Therefore, Derek needs approximately $2,744,607.73 in his retirement account on his 65th birthday to cover his desired annual withdrawals.

Moving on to the second part, Derek plans to make contributions to his retirement account from his 26th birthday to his 65th birthday. To reach his goal of having $2,742,310.00 in his retirement account after fully retiring, we can calculate the necessary contributions using the formula for the future value of an ordinary annuity:

FV = PMT * \(((1 + r)^n\) - 1) / r

Rearranging the formula, we can solve for the required contributions (PMT):

PMT = FV * (r / (\(((1 + r)^n\) - 1))

Plugging in the values, we get:

PMT = $2,742,310.00 * (\(\frac{0.05} {((1+0.05)^{39}-1 )}\))≈ $21,038.34

Learn more about interest here:

https://brainly.com/question/25720319

#SPJ11

Answer:

is there a picture along with this??

The approximated solution for the initial-value problem, using Taylor's method of order two with h = 0.5, is y ≈ 3 at t = 3.

Taylor's method of order two approximates the solution of an initial-value problem by using the Taylor series expansion up to the second order. In this case, we have the initial-value problem y' = 1 + (t - y)^2, with the initial condition y(2) = 1, and the step size h = 0.5.

To apply Taylor's method of order two, we first expand the function y(t) around the initial point (t0, y0) using the Taylor series:

y(t + h) = y(t) + hy'(t) + (h^2/2)y''(t) + O(h^3),

where O(h^3) represents higher-order terms that are neglected for this approximation.

Differentiating the given function, we find y' = 1 + (t - y)^2. Evaluating y'(t0, y0) at t0 = 2 and y0 = 1, we get y'(2, 1) = 1 + (2 - 1)^2 = 2.

Substituting the values into the iterative formula, we obtain:

y(t + h) = y(t) + hy'(t) = y(t) + 0.5(2),

where t ranges from 2 to 3 with steps of 0.5. Starting with y(2) = 1, we can update the value of y at each time step:

For t = 2.5: y(2.5) = y(2) + 0.5(2) = 1 + 1 = 2.

For t = 3: y(3) = y(2.5) + 0.5(2) = 2 + 1 = 3.

Therefore, the approximated solution for the initial-value problem, using Taylor's method of order two with h = 0.5, is y ≈ 3 at t = 3.

To learn more about Taylor's method click here, brainly.com/question/29108771

#SPJ11

Answer:

i think x/y=4

Step-by-step explanation:

Answer: Hieee! So the answer to this problem is (3r-2)(3r+2) I think...

Step-by-step explanation:

Answer:

9(r - 5)(r - 1)

Step-by-step explanation:

The number of different ways to distribute the cubes in each scenario can be found using combinations.

a. You have 3 cubes to give to 2 people: The number of ways to distribute the cubes can be calculated using combinations: C(3, 2) = 3! / (2! * (3-2)!) = 3 ways. b. You have 4 cubes to give to 2 people:

C(4, 2) = 4! / (2! * (4-2)!) = 6 ways. c. You have 5 cubes to give to 2 people: C(5, 2) = 5! / (2! * (5-2)!) = 10 ways. d. You have 3 cubes to give to 3 people: C(3, 3) = 3! / (3! * (3-3)!) = 1 way. e. You have 4 cubes to give to 3 people: C(4, 3) = 4! / (3! * (4-3)!) = 4 ways. f. You have 5 cubes to give to 3 people: C(5, 3) = 5! / (3! * (5-3)!) = 10 ways.

Conjecture for distributing 7 cubes to 4 people: Based on the pattern observed in the previous calculations, it seems that the number of different ways to distribute 7 cubes to 4 people can be found using combinations. Using combinations: C(7, 4) = 7! / (4! * (7-4)!) = 7! / (4! * 3!) = (7 * 6 * 5) / (3 * 2 * 1) = 35. Therefore, the conjecture is that there are 35 different ways to distribute 7 cubes to 4 people. Explanation: This conjecture is based on the concept of combinations, where we choose a certain number of objects from a larger set without considering the order. In this case, we are selecting the number of cubes for each person, and the order in which they receive the cubes does not matter. If each person were required to get at least one cube: In this scenario, we need to ensure that each person receives at least one cube.

a. You have 3 cubes to give to 2 people: In this case, it is not possible for each person to receive at least one cube since there are fewer cubes than people. Therefore, no valid distribution is possible. b. You have 4 cubes to give to 2 people: In this case, each person can receive one cube, and the remaining two cubes can be distributed in C(2, 2) = 1 way. So, there is only 1 valid distribution. c. You have 5 cubes to give to 2 people:

Again, each person can receive one cube, and the remaining three cubes can be distributed in C(3, 2) = 3 ways. So, there are 3 valid distributions. d. You have 3 cubes to give to 3 people: In this scenario, it is not possible to satisfy the requirement of each person receiving at least one cube since there are fewer cubes than people. No valid distribution is possible. e. You have 4 cubes to give to 3 people: Each person can receive one cube, and the remaining cube can be given to any of the three people. So, there are 3 valid distributions. f. You have 5 cubes to give to 3 people: Each person can receive.

To learn more about, click here combinations: brainly.com/question/28065038

#SPJ11

I cant really see that- could you tell me what that is?

Answer:

83

Step-by-step explanation:

Answer:

8 friends

Step-by-step explanation:

The group of friends will park only once, so you only need to add $5.75 once, but you still need to add the amount of money for all the people who are in the car, 24.50 x 8 is equal to exactly 196 dollars, so 196 + 5.75 is equal to exactly 201.75, which is the amount of money the group has, so 8 people can come.

Answer: The answer is 8 :)

Step-by-step explanation: Hope this helps!

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

9514 1404 393

Answer:

  £27.50

Step-by-step explanation:

The general approach is ...

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

  A = LW

  A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

  A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

  painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

__

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

  (34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

__

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

  (2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at

In statistics, n is used to denote sample size. This gives the total number of participants under study.

In statistics, n is defined as the sample size. It refers to the total number of participants or the total number of observations that are included in a study. This size of the sample is drawn from the given population. This value is important because this directly influences the research study.

This sample size is affected by study design, standard deviation, sampling method, significance level, and study power. For example, you have to determine the mineral concentration in different types of soil. For this, you are taking 5 different soil samples. Here, the sample size is 5.

To know more about sample size:

https://brainly.com/question/28651174

#SPJ4

Answer: 2A/H

Step-by-step explanation:

A = région

H = la taille

x = base

1/2*x*H = A

1/2*x = A/H

x = 2A/H

Answer:

1/15

Step-by-step explanation:

2/6 x 1/5 = 2/30

2/30 = 1/15

Answer:

30

Step-by-step explanation:

A table is given to complete the arithmetic sequence.

To complete the table, we need to determine the common difference first:

Based on the table,

Answer:

cooking method

Step-by-step explanation:

I am not sure if you mean the food or not

The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.78 or 78%.

To find the probability that a randomly selected statistics student is a business major or likes grilled cheese, we can use the principle of inclusion-exclusion.

Let's denote:

A = Event of being a business major

B = Event of liking grilled cheese

We want to find P(A ∪ B), which represents the probability of either being a business major or liking grilled cheese.

Using the principle of inclusion-exclusion:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

We are given the following information:

Total number of students (sample size) = 50

Number of business majors = 35

Number of students who like grilled cheese = 7

Number of business majors who like grilled cheese = 3

Calculating the probabilities:

P(A) = Number of business majors / Total number of students = 35 / 50 = 0.7

P(B) = Number of students who like grilled cheese / Total number of students = 7 / 50 = 0.14

P(A ∩ B) = Number of business majors who like grilled cheese / Total number of students = 3 / 50 = 0.06

Now we can substitute these values into the formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = 0.7 + 0.14 - 0.06

P(A ∪ B) = 0.78

To know more about probability:

https://brainly.com/question/31828911

#SPJ4

Answer:

subtracting a negititive is the same as adding so -66.1+55.6

Hope This Helps!!!

The the simplification of the product expression  -1/6 x -1/5 will gives 1/30.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given the product expression as -1/6 x -1/5.

Then the simplification of the product expression will be

-1/6 x -1/5

= (-1 x -1)/ (6 x 5)

= 1/ 30

The sign of multiplication is usually hidden; when using symbols and both quantities which are in multiplication are written together without space or if there are non numeric symbols and numbers being multiplied are written together

Therefore, the the simplification of the product expression  -1/6 x -1/5 will gives 1/30.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ1

Answer:

StartFraction 1 Over 8 EndFraction

Step-by-step explanation:

2.54 centimeters = 1 inch.1 feet = 12 inches then 6*12 =72 inch and hence 72*2.54= 183cm

What is a Metric system?

A metric system may be defined as a type of system that significantly weighs and measures the mass and distance respectively in which the meter is the unit of length and the kilogram is the unit of weight.

A metric system is a standard system of measurement which utilizes the meter, liter, and gram as base units of length for distance, capacity for volume, weight for mass, etc.

According to the question, the height of a student in cm = 175 cm.

Then, from the general conversion rule,

1 meter = 100 cm.

1 cm = 1/100 meter.

175 cm. = 175/100 = 1.75 meters.

Therefore, if a student is 175 cm tall, then according to the metric system the same student is 1.75 m tall.

To learn more about centimeter refer to the link:

brainly.com/question/1837503

#SPJ4

The general strategy for solving an equation of the form

is to multiply both sides by a, provided a and b are numerical constants, and x is unknown. This gives

Hence, the correct option is C

Answer:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

Step-by-step explanation:

For the matrix A, we can perform the following row operations:

R2 = R2 - 42R1

This gives us the following matrix:

[1 -42 0]

[0 t-3 0]

The second row is a multiple of the first row, so it is linearly dependent on the first row. Therefore, the rank of the matrix is 2.

The rank of the matrix is a function of the parameter t. When t = 3, the second row is not a multiple of the first row, so the rank of the matrix is 3. When t ≠ 3, the second row is a multiple of the first row, so the rank of the matrix is 2.

Therefore, the rank of the matrix is given by the following function:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

Learn more about Rank in Matrix.

https://brainly.com/question/32654901

#SPJ11

Both statements can be included in the exact numbers category.

Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.

consider the four bicycles in the family have been ridden for a total of 250 mi.

The above statement can be categorized into exact numbers as 4 and 250 are countable.

Now, consider a child fell and had a 4-cm laceration that required 12 stitches.

The above statement can be categorized into exact as the numbers 4 and 12 are countable.

For more information on exact and inexact numbers click on the link below:

https://brainly.com/question/5868480

#SPJ4

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its 153.846...

or if you are looking for how many in 2 years then 650,000

Hope this helps

Have a nice day :)

Answer:8

Step-by-step explanation:

Answer:

8 rows of art

Step-by-step explanation:

Answer:

12. impact

13. environment

14. unique

15, destination

16. provide

17. designed

19. local

20. conservation

Step-by-ste1p explanation:

ur welcome