Consider the function g(x)=x−4‾‾‾‾‾√3.

Which ordered pair lies on the inverse of the function?

Answer:

Reduce each side by 1/3, 9m would be 3m, 12m would be 4m, 15m would be 5m.

Step-by-step explanation:

To make a triangle a fraction smaller (such as 1/3, 1/4, or 1/6) just multiply the sides by the fraction. To make a triangle a fraction bigger, multiply it by the sides but then add the solution to the original triangle to get a triangle a fraction bigger.

Answer: Your new triangle would have the side lengths 3 m, 4 m, and 5 m.

Step-by-step explanation:

To make a triangle 1/3 as long as the original, you can multiply each side length by 1/3 (or simply divide each side by 3) to get the new side lengths.

9 ÷ 3 = 3

12 ÷ 3 = 4

15 ÷ 3 = 5

Therefore, the new triangle would have side lengths of 3 m, 4 m, and 5 m.

I hope this helps! I attached a drawing of the triangle for reference c:

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Charge for bike rental :

initial price = $15

Additional charge = $0.75 per hour

Expression to model the above :

15 + 0.75h

The variable H represents The cost per hour? Or the number of hours?

The variable h in the expression is the number of hours,

Since the additional charge rate is $0.75 per hour, $0.75 for each hour of bike rental

The constant 15 represents the initial rental price or the number of hours?

$15 represents the initial price being paid to rent a bike

The variable term 0.75h represents, the hourly rental amount or the number of hours?

Multiply the amount charged per hour by the number of hours gives us the total additional amount charged for the number of hours biked

The expression that can be used to solve the question will be H = 15 + 0.75h.

The expression to solve the question will be H = 15 + 0.75h.

where,

Therefore, let's say we want to find the cost for 4 hours. This will be:

H = 15 + 0.75h.

H = 15 + 0.75(4)

H = 15 + 3

H = 18

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The quotient of dividing the expression 4x² + 14x - 9 by 4x - 6 is x + 5.

The quotient is the result of dividing one number by another. In this case, we are dividing the expression 4x² + 14x - 9 by 4x - 6.

To find the quotient, we can use polynomial long division.

1. Start by dividing the first term of the numerator (4x²) by the first term of the denominator (4x). The result is x.

2. Multiply the entire denominator (4x - 6) by the quotient we just found (x). This gives us 4x² - 6x.

3. Subtract the result obtained in step 2 from the numerator (4x² + 14x - 9). This gives us (4x² + 14x - 9) - (4x² - 6x) = 20x - 9.

4. Bring down the next term from the numerator, which is 20x.

5. Divide the first term of the new expression (20x) by the first term of the denominator (4x). The result is 5.

6. Multiply the entire denominator (4x - 6) by the quotient we just found (5). This gives us 20x - 30.

7. Subtract the result obtained in step 6 from the expression obtained in step 5 (20x - 30) from (20x - 9). This gives us (-30 + 9) = -21.

8. Since there are no more terms left in the numerator, the division process is complete.

Therefore, the quotient is x + 5.

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Answer:

1/6

Explanation:

This is because if you were to take up the entire wall with these same proportions, you would need six colors.

Answer:

Option D. 2

Step-by-step explanation:

1+2+(-5)+4

= 1+2-5+4

= 1+2+4-5

= 7-5

= 2

A record's key field is the field whose contents make the record unique among all records in a file.

In computer science and database management, a record's key field, also known as a primary key, is a unique identifier that is used to distinguish one record from another in a database. A key field can be a single field or a combination of fields that uniquely identify a record.

For example, in a database of employee records, the social security number or employee ID number may be used as the key field to identify each employee record. This key field must be unique for each record in the database, and it is typically indexed to allow for faster searching and sorting of records.

The key field plays a crucial role in ensuring data integrity and consistency in a database. It is used to enforce data constraints and relationships between tables, and it is often used as a reference by other tables in a database.

In summary, a record's key field is an important component of a database that uniquely identifies each record and allows for efficient management and organization of data.

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In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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Chris earned a total of $192.5 today.

What is the commission rate?

The compensation for a commission is referred to as a commission rate. Some jobs pay a fixed percentage, while others pay a fixed dollar amount depending on the volume of sales.

Given, Chris earns $10 per hour and 12. 5% commission on computer sales.

And, he worked  5.5 hours and sold $1100 in computers

Total earning = 5.5*$10 + $1100*12. 5%

                       = $55 + 1100*(12.5/100)

                       = $55 + $137.5

                       = $192.5

Therefore, Chris earned a total of $192.5 today.

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The volume of the solid obtained by rotating the region bounded by y = x², y = 0, x = 1 about the y-axis is π/2 cubic units.

To find the volume of the solid obtained by rotating the region bounded by y = x², y = 0, x = 1 about the y-axis, we will use the method of cylindrical shells.

First, we need to determine the limits of integration. The region is bounded by x = 1 on the right, and the y-axis on the left.

Since we are rotating about the y-axis, our radius will be x. So, our limits of integration will be from y = 0 to y = 1.

Next, we need to find the height and circumference of each cylindrical shell.

The height will be the difference between the y-values of the two curves at a given x-value, which is y = x² - 0 = x².

The circumference will be 2πx. The volume of each cylindrical shell will be its height times its circumference times its thickness (dx).

So, the volume of the solid will be:

V = ∫ from 0 to 1 of 2πx(x²) dx

V = 2π∫ from 0 to 1 of x³ dx

V = 2π [x⁴/4] from 0 to 1

V = 2π (1/4)

V = π/2

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Answer:

range is 43

Step-by-step explanation:

The range of a list of values is the largest value subtracted from the smallest one,

if you have one of these questions a good idea may be to order them on paper rather than doing it in your head, less of a chance of you missing a value and makes it faster if there are median questions

Answer: The answer is 43

95 - 52 = 43

Step-by-step explanation:

To find the answer for the Range you grab the largest number then subtract it from the smallest number then you'll get the answer

70,[ 52 ],75,84,86,67,89,92, [ 95 ], 80

To prove that |H×K| = |H : H∩KxK^-1|, we can use the concept of cosets and the Lagrange's theorem.

Let H and K be subgroups of a group G. We want to show that the number of elements in the coset H×K is equal to the index of the subgroup H∩KxK^-1 in H.

First, let's define the coset H×K as follows:

H×K = {hk | h ∈ H, k ∈ K}

Now, consider the function φ: H×K → H : H∩KxK^-1 defined by φ(hk) = h. This function φ is well-defined, meaning that it doesn't depend on the specific choice of h and k within the coset.

To prove that φ is a bijection, we need to show that it is both injective (one-to-one) and surjective (onto).

Injectivity:

Suppose φ(hk1) = φ(hk2), where hk1, hk2 ∈ H×K. This implies that h = hk1(k2)^-1. Since k1(k2)^-1 ∈ K, we have hk1(k2)^-1 ∈ H∩K. Therefore, hk1(k2)^-1 ∈ H∩KxK^-1. From the definition of the coset, we have hk1(k2)^-1 ∈ H×K. This implies that hk1(k2)^-1 = h'k' for some h' ∈ H and k' ∈ K. Multiplying both sides by k2, we get hk1 = h'k'k2. Since H and K are subgroups, h'k'k2 ∈ H×K. Thus, hk1 and h'k'k2 are two elements in H×K that map to the same element h in H. Therefore, φ is injective.

Surjectivity:

Let h ∈ H. We want to show that there exists an element hk ∈ H×K such that φ(hk) = h. Since K is a subgroup, we have e ∈ K, where e is the identity element. Therefore, he = h ∈ H. This implies that φ(he) = h. So, φ is surjective.

Since φ is a well-defined, injective, and surjective function, it is a bijection between H×K and H∩KxK^-1. Therefore, the number of elements in H×K is equal to the number of distinct cosets of H∩KxK^-1 in H, which is denoted as |H : H∩KxK^-1|. Hence, we have proven that |H×K| = |H : H∩KxK^-1|.

This result provides a relationship between the sizes of the coset H×K and the index of the subgroup H∩KxK^-1 in H.

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The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

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Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

Answer:

1. identify the constant you will need to multiply each equation by to eliminate x

2. multiply all terms by -3 in equation 1

3. multiply all tems by 5 in equation 2

4. add the sum of the equation together to eliminate x

1. identify the constant you will need to multiply each equation by to eliminate x

2. multiply all terms by -3 in equation 1

3. multiply all tems by 5 in equation 2

4. add the sum of the equation together to eliminate x

Both events A and B have probabilities of 1/12, and they are independent events since the outcome on one die does not affect the outcome on the other die.

The event A consists of all outcomes in which the number of spots showing on the red die is three or less.

Since the red die has six equally likely outcomes (1, 2, 3, 4, 5, and 6), the probability of A is:

P(A) = the number of outcomes in A / the total number of possible outcomes.

Out of the six possible outcomes on the red die, three of them are three or less: 1, 2, and 3.

Therefore, the number of outcomes in A is three.

Since there are six equally likely outcomes for the green die as well, the total number of possible outcomes is 6 x 6 = 36.

Therefore, we have:

P(A) = 3/36 = 1/12.

The event B consists of all outcomes in which the number of spots showing on the green die is more than three.

There are also three outcomes on the green die that satisfy this condition: 4, 5, and 6.

Thus, we have:

P(B) = 3/36 = 1/12.

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1. \(dy/dt = ky\) 2. \(dy/dt = -ky\) 3. \(ln|y| = kt + C1\) are solutions for the differential equation.

1. The differential equation for an animal whose weight is increasing at a rate proportional to its weight can be represented as:

\(dy/dt = ky\)

where dy/dt is the rate of change of weight with respect to time, k is the proportionality constant, and y is the weight of the animal.

2. The differential equation for a bacteria population that is shrinking at a rate proportional to its population size can also be represented as:
\(dy/dt = -ky\)

Here, dy/dt is the rate of change of population with respect to time, k is the proportionality constant, and y is the population size. The negative sign indicates that the population is shrinking.

3. To solve the differential equation dy/dt = ky using separation of variables, follow these steps:

Step 1: Separate the variables, with y terms on one side and t terms on the other:

\((dy/y) = k(dt)\)

Step 2: Integrate both sides of the equation:

\(∫(1/y) dy = ∫k dt\)

Step 3: After integrating, you'll get:

\(ln|y| = kt + C1\)

where C1 is the constant of integration.

Step 4: To solve for y, take the exponent of both sides:

\(y(t) = e^(kt + C1) = e^(kt) * e^C1\)

Since e^C1 is a constant, we can replace it with another constant, C:

\(y(t) = Ce^(kt)\)

This is the general solution to the differential equation \(dy/dt = ky\), where C is the integration constant, and it can be determined using initial conditions if provided.

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Step-by-step explanation:

well,

y = x²

would give us

y = 5² = 25

(5, 25)

but we have

(5, 18) so, what is the difference ?

we see that y is reduced by 7 units.

so,

y = x² - 7

the whole curve is moved down by 7 units.

So the total surface area of the composite figure is 138 square inches.

To find the surface area of the composite figure, we need to add the areas of all the faces of the figure.

The square has an area of 6 * 6 = 36 square inches.

The green rectangular prism has a base with an area of 6 * 3 = 18 square inches. It also has four lateral faces, each with an area of 3 * 7 = 21 square inches. The total area of the lateral faces is 4 * 21 = 84 square inches.

So the total surface area of the composite figure is 36 + 18 + 84 = 138 square inches.

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3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer:

a

Step-by-step explanation:

Answer:

the answer is no. a.so ,please make sure u have given the right answer

Answer:

Step-by-step explanation:

I think not because if a series of true conditional statements then it won't lead to a false conclusion

Answer:

a

Step-by-step explanation:

a

Answer:10.5 ml

Step-by-step explanation:do 75/50=1.5

Do 7 times 2.6 and get 7+2.5=10.5 miles

The mass when L = 0.6 is given as follows:

M = 68.57 kg.

The mass of the cube is modeled according to a proportional relationship, as follows:

M = kL.

In which k is the constant of proportionality.

The mass the cube is 40 kg when the length of its edge is 35 cm = 0.35 m, hence the constant is obtained as follows:

0.35k = 40

k = 40/0.35

k = 114.28.

Hence the mass when L is of 0.6 m is given as follows:

M = 114.28 x 0.6

M = 68.57 kg.

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i. weekly receipts at a clothing boutique

ii. monthly demand for an automotive part

Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.

Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.

On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.

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Tina can mulch the garden alone in 25 minutes.

Let's use the formula for the work rate to solve the problem. If William can mulch the garden alone in 20 minutes, his work rate is 1/20. Similarly, let's assume that Tina can mulch the garden alone in x minutes, so her work rate is 1/x.

When they work together, their work rates add up, so we have:

1/20 + 1/x = 1/11

Now we can solve for x:

1/x = 1/11 - 1/20

1/x = (20 - 11) / (11 x 20)

1/x = 9 / 220

x = 220 / 9

x ≈ 24.4

So it would take Tina 24.4 minutes to mulch the garden alone.

However, we need to round this up to the nearest minute because you can't have a fraction of a minute. Therefore, Tina can mulch the garden alone in 25 minutes.

Alternatively, we can use the inverse formula for the work rate to solve for Tina's time alone:

1/20 + 1/t = 1/11

1/t = 1/11 - 1/20

1/t = (20 - 11) / (11 x 20)

1/t = 9 / 220

t = 220 / 9

t ≈ 24.4

So Tina can mulch the garden alone in 24.4 minutes, which rounds up to 25 minutes.


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The duration of this bond is 6.5 years.

Duration is a measure of a bond's sensitivity to changes in interest rates. To calculate the duration of this bond, we need to consider the present value of the bond's cash flows and the timing of those cash flows. In this case, the bond has a face value of $1,000, a coupon rate of 10 percent, and annual coupon payments.

First, we calculate the present value of the bond's cash flows. Since the bond has a coupon rate of 10 percent, the annual coupon payment is $100 ($1,000 x 10%). The bond has a remaining maturity of seven years, so there will be seven coupon payments in total. We can calculate the present value of these cash flows using the formula for the present value of an ordinary annuity:

Present Value = Coupon Payment x [1 - (1 + interest rate)^(-number of periods)] / interest rate

Assuming an interest rate of r, we have:

Present Value = $100 x [1 - (1 + r)^(-7)] / r

Next, we need to find the yield to maturity (YTM) of the bond. YTM is the rate of return an investor would earn by holding the bond until maturity. Since the bond is currently selling for $1,104 in the market, we can set up the following equation:

$1,104 = Present Value + (Coupon Payment / (1 + r)^7)

By solving this equation for r, we can find the yield to maturity. Using a financial calculator or spreadsheet software, we can determine that the yield to maturity is approximately 7 percent.

Now, we can calculate the duration of the bond. The duration formula is the weighted average time until the bond's cash flows are received, where the weights are the present values of the cash flows. In this case, we have seven annual cash flows, so the duration can be calculated as follows:

Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (n x Present Value of Year n)] / Present Value of the Bond

Plugging in the values, we get:

Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (7 x Present Value of Year 7)] / Present Value of the Bond

Calculating the present values for each year using an interest rate of 7 percent, we find:

Present Value of Year 1 = $100 / (1 + 0.07)^1

Present Value of Year 2 = $100 / (1 + 0.07)^2

...

Present Value of Year 7 = $100 / (1 + 0.07)^7

After calculating the present values for each year and plugging them into the formula, we find that the duration of the bond is approximately 6.5 years.

Therefore, the correct answer is 6.5 years.

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer:

hiii my pic lol (✿^‿^)(✿^‿^)(✿^‿^)(✿^‿^)