Recall that humans have 23 pairs of chromosomes, 22 of which occur in pairs. The exception to this rule are the sex chromosomes. Men have one {X} - and one {Y} -chromosome, wh

The five key points of the parent function are:

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

Using the above representations, we have:

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

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area of circle = πr²           (where "r" is the radius)

===========

Here the radius: 3 ft

Area:

The equation of the line which is parallel to the given line is 3y - x = -12.

given that

x = 18 and y = 2

putting the value in equation 3y-x = -12

this saisfied he equation perfectly.

Hence, the equation in parallel to 3y-x = -12

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The equipment acquired at the beginning of the year had a value of $7,620.

⇒ Debit: Cash/Bank Account = $59,200

   Debit: Accumulated Depreciation = $26,140

   Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or        ($6,920) (if loss)

   Credit: Equipment = $78,420

At the beginning of the year, equipment with a value of $7,620 was acquired. The equipment's cost was $78,420, and it was depreciated using the straight-line method over an estimated useful life of 6 years with an estimated residual value.

a. To calculate the depreciation expense for the first year, we need to determine the annual depreciation amount. The formula for straight-line depreciation is:

Annual Depreciation Expense = (Cost - Residual Value) / Useful Life

Given that the cost is $78,420, the estimated residual value is not provided in the question, so we assume it to be $0, and the useful life is 6 years, we can calculate the annual depreciation expense as follows:

Annual Depreciation Expense = ($78,420 - $0) / 6 = $13,070

Therefore, the depreciation expense for the first year is $13,070.

b. To determine the gain or loss on the sale of the equipment at the end of the second year, we need to compare the selling price with the equipment's book value. The book value can be calculated as follows:

Book Value = Cost - Accumulated Depreciation

Given that the cost is $78,420 and the depreciation expense for the first year is $13,070, we can calculate the accumulated depreciation for the first year:

Accumulated Depreciation (Year 1) = Depreciation Expense (Year 1) = $13,070

The accumulated depreciation for the second year would be twice the first-year depreciation expense:

Accumulated Depreciation (Year 2) = 2 * Depreciation Expense (Year 1) = 2 * $13,070 = $26,140

Now we can calculate the book value at the end of the second year:

Book Value (Year 2) = Cost - Accumulated Depreciation (Year 2) = $78,420 - $26,140 = $52,280

Given that the equipment was sold for $59,200, we can determine the gain or loss on the sale:

Gain or Loss = Selling Price - Book Value = $59,200 - $52,280 = $6,920

Therefore, there is a gain of $6,920 on the sale of the equipment.

c. Journal entry to record the sale:

Debit: Cash/Bank Account = $59,200

Debit: Accumulated Depreciation = $26,140

Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or ($6,920) (if loss)

Credit: Equipment = $78,420

The journal entry debits the cash/bank account for the selling price, debits the accumulated depreciation to remove the accumulated depreciation up to the sale date, credits the gain or loss on the sale of equipment, and credits the equipment account to remove the equipment from the books.

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The description that best describes coplanar figures is that  they are contained in the same plane.

This is referred to as the points or lines that are known to be or lie on the same kind of plane.

Note that if for example, points P , Q , and S lie in the same plane C, then they are coplanar and thus The description that best describes coplanar figures is that  they are contained in the same plane.

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Answer:

Explanation: We need to find x y z, three missing sides:

From the given triangle, we can form three equations, using the Pythagorean theorem as:

Solution by substitution:

Substituting (1) in (3) gives:

We have reached equation (4), solving for z in equation (4), and then substituting it into equation (2) gives:

Plugging this x into equation (4) gives:

Now that we have x and z, we plug x it into equation (1) and we get:

x y z respectively are:

The correct value of "x" is equal to 4

Step-by-step solution:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

Using Pythagoras's Theorem:-

\((Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}\)

\((x+1)^{2} -x^{2} =3^{2}\)

\((x+1)^{2} -x^{2} =3^{2}\)

\((x+1+x)(x+1-x) =3^{2}\)

\((2x+1)(1) =3^{2}\)

\((2x+1)(1) =9\)

\((2x+1) =9\\2x=9-1\\2x=8\\x=4\\\)

Therefore, the value of "x" is: x=4

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Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/

The area of the triangle is 33 square inches.

'A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.'

According to the given information we have  height of the triangle is 11 inches and the triangle's base is 6 inches. Monica says that the area of the fabric is 66 .

Area of the triangle = (1/2) × 6 × 11

                                = 33 squared inches

Monica, when calculating the area of the triangle, missed out on multiplying 5 to the product of base and height.

Hence, we can conclude, the correct area of the triangle is 33 squared inches.

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The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

The given functions are listed below according to their order of growth from the lowest to the highest:

Therefore, the correct order of the given functions from lowest to the highest growth is:

0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

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the sides of the triangle ABC are BC ≈ 59.7, AC ≈ 39.8 and AB = 43..

Consider the triangle ABC as given below.

Now, we need to solve the triangle ABC with given b = 43, a = 50 and B = 38° using the law of sines and law of cosines. Law of sines is given as:

sinA/a = sinB/b = sinC/c

Let's use the law of sines first as we are given a side and an angle opposite to it.

Law of sines gives us sinA/50 = sin38°/43A = sin⁻¹(50 × sin38°/43)A ≈ 51.16°

Now, we know A and B, so we can use the fact that the sum of all angles in a triangle is 180° to find the third angle:

C = 180° - (A + B)C ≈ 90.84°

Therefore, the angles of triangle ABC are A ≈ 51.16°, B = 38° and C ≈ 90.84°.

Now, we can use the law of sines to find the remaining sides of the triangle.

Law of sines gives:43/sin38° = BC/sin51.16°BC = 43 × sin51.16°/sin38°BC ≈ 59.7

Similarly, we can find AC using the same law.50/sinA = AC/sin38°AC = 50 × sin38°/sin51.16°AC ≈ 39.8

Therefore, the sides of the triangle ABC are BC ≈ 59.7, AC ≈ 39.8 and AB = 43.

Hence, we have solved the triangle. The sides are rounded to one decimal place.

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Answer:

5 times

Step-by-step explanation: 71 divided by 14 equals 5

Answer:

5 times

Step-by-step explanation:

71/14 =5r1

140=10*14

70=140/2

10/2=5

14*5=70

71-70=1

Each seat on the ferris wheel is at an angle of 24 degrees.

To determine the angle of each seat on a ferris wheel with 15 seats, we can use the concept of angles in a circle.

A circle has a total of 360 degrees. Since the ferris wheel has 15 seats evenly spaced around the circumference, we can divide 360 degrees by 15 to find the angle of each seat.

The calculation is as follows:

360 degrees ÷ 15 seats = 24 degrees per seat.

To visualize this, imagine drawing a circle and dividing it into 15 equal parts. Each part would represent a seat on the ferris wheel, and the angle between each part would be 24 degrees.

Note: The assumption here is that the seats are evenly spaced around the circumference of the ferris wheel. In practice, some ferris wheels may have seats arranged differently, so the angle per seat may vary.

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Answer:

I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Step-by-step explanation:

prime numbers from 1 to 20 are those that can be divided by 1 and itself, so

1

2

3

5

7

11

13

17

19

the average is the sum of all of them, divided by how many they are (there are 9 of them)

avg = (1+2+3+5+7+11+13+17+19)/9

avg = 8.67

note: some consider that 1 is not a prime number because in this case the definition "that can be divided by 1 and itself" is redundant. if that's what you learned in class, then you need to remove it from the formula and divide by 8

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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The given statement that Adverse selection occurs because of asymmetric information is true . Because it happens when one party have no idea about other party .

Adverse Selection:

Adverse selection generally refers to the situation in which the seller has information that the buyer does not have or, conversely, knows about aspects of the product's quality. In other words, it is a case of misusing asymmetric information. Information asymmetry, also known as information impairment, occurs when one party to a transaction has more important knowledge than the other party.

For example, corporate managers may be more willing to issue stock if they know that the stock is overvalued relative to its true value. Buyers may suffer losses by purchasing overvalued stocks. In the used car market, sellers can learn about vehicle defects and charge buyers extra fees without disclosing the problem.

A common consequence of negative selection is that consumers lack information from sellers and manufacturers, increasing costs and creating market asymmetries.

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Answer:

After 3 minutes in the refrigerator, the temperature of the coffee will be approximately 89.6 degrees Fahrenheit

Step-by-step explanation:

To solve this problem, we can use Newton's law of cooling, which states that the rate of change in the temperature of an object is proportional to the difference between its temperature and the temperature of its surroundings. The equation for Newton's law of cooling is:

T(t) = T_s + (T_0 - T_s) * e^(-kt)

Where:

T(t) is the temperature of the object at time t

T_s is the temperature of the surroundings

T_0 is the initial temperature of the object

k is the cooling constant

e is the base of the natural logarithm

In this case, we have:

T_s = 36 degrees Fahrenheit (temperature of the refrigerator)

T_0 = 190 degrees Fahrenheit (initial temperature of the coffee)

k = 0.12 (cooling constant)

t = 3 minutes (time elapsed)

Substituting these values into the equation, we get:

T(3) = 36 + (190 - 36) * e^(-0.12*3)

T(3) = 36 + 154 * e^(-0.36)

T(3) ≈ 89.6 degrees Fahrenheit

Therefore, after 3 minutes in the refrigerator, the temperature of the coffee will be approximately 89.6 degrees Fahrenheit.

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Answer:

OKKK BROOO IM DOOOIINGGG THE SAMMME THINHGGGG BLESS YOURRR HEARTTT THANKKKK YOUUU ANDDD I WIILLLLL

Step-by-step explanation:

The square root of a negative number is not defined in the real numbers, r cannot be found. This means that y = x^r is not a solution for any real r.

What is square root ?

A square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

x(r^2 x^(r-2)) - rx^(r-1) = 0

Expanding the powers of x and collecting terms, we have:

r^2 x^r - rx^r + x^r = 0

Dividing through by x^r, we have:

r^2 - r + 1 = 0

This is a quadratic equation that can be solved using the quadratic formula:

r = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = -1, and c = 1.

Plugging in the values, we get:

r = (-(-1) ± √((-1)^2 - 4 * 1 * 1)) / 2 * 1

r = (1 ± √(1^2 - 4 * 1 * 1)) / 2 * 1

r = (1 ± √(1 - 4)) / 2

r = (1 ± √(-3)) / 2

The square root of a negative number is not defined in the real numbers, r cannot be found. This means that y = x^r is not a solution for any real r.

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Answer:

The absolute value is the number its self unless it's a negative number

Step-by-step explanation:

Hope this helps

a) The probability that the number of drivers will be at most 19 is approximately 0.411 or 41.1%.

b) The probability that the number of drivers will exceed 29 is approximately 0.004 or 0.4%.

(a) To find the probability that the number of drivers will be at most 19, we need to use the Poisson distribution formula:

P(X ≤ 19) = e^(-20) * (20^0/0!) + e^(-20) * (20^1/1!) + ... + e^(-20) * (20^19/19!)

Using a calculator or statistical software, we get P(X ≤ 19) ≈ 0.088.

(b) To find the probability that the number of drivers will exceed 29, we can use the complement rule:

P(X > 29) = 1 - P(X ≤ 29)

Using the same Poisson distribution formula as in part (a), we can find P(X ≤ 29) ≈ 0.963. So,

P(X > 29) = 1 - 0.963 = 0.037 (rounded to three decimal places).

Note: "Dynamic Ride Sharing" is not directly related to this question and is not necessary for answering it.
Hi! I'd be happy to help you with your question.

(a) To find the probability that the number of drivers will be at most 19, you can use the cumulative distribution function (CDF) of the Poisson distribution. The parameter for this distribution is μ = 20. The formula for the Poisson CDF is:

P(X ≤ k) = Σ (e^(-μ) * (μ^x) / x!) for x = 0 to k

In this case, k = 19. Plugging in the values and calculating the sum, we get:

P(X ≤ 19) ≈ 0.411

Therefore, the probability that the number of drivers will be at most 19 is approximately 0.411 or 41.1%.

(b) To find the probability that the number of drivers will exceed 29, you can use the complementary probability rule. First, find the probability that the number of drivers will be at most 29, and then subtract that from 1.

P(X > 29) = 1 - P(X ≤ 29)

Using the Poisson CDF formula with k = 29 and μ = 20:

P(X ≤ 29) ≈ 0.996

Now, subtract this value from 1:

P(X > 29) = 1 - 0.996 ≈ 0.004

Therefore, the probability that the number of drivers will exceed 29 is approximately 0.004 or 0.4%.

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Answer:this is the order of the things to put them

number of bouquets: 5

mass of bouquets: 3d+4t+v

mass of the tulips in one bouquet: 4t

mass of the daffodils in one bouquet: 3d

Step-by-step explanation:

Answer:

#2

Step-by-step explanation:

Circle A'B'C'D' is smaller than circle ABCD. This means the scale factor must be less than one. 7/3 is greater than one, so it is false.

Answer:

The answer would be based off of how many miles the dad went so if he went to say 140 miles then it would be 2 hours.

Step-by-step explanation:

Just go to your calculator and divide how many miles he went by 70 then it will give you the amout of hours he went.

Have a great day! :)