HELP PLEASE IM BEGGING SOMEBODY!!??!

As we can see in the graph, the triangle KXH has been reflected both on the y-axis and x-axis and then reduce by a scale factor between 0 and 1.

Reflection on both the y-axis and x-axis can be renamed to a single transformation which is a rotation of 180° about the origin. The transformation rule of a rotation about the origin is (x, y) → (-x, -y).

From the original coordinates of the triangle KXH, after rotation of 180° about the origin, the new coordinates are:

Now, if we compare the coordinates of triangle NGP and the new coordinates after the rotation:

We can see that the new coordinates after rotation was multiplied by 1/2 to form the coordinates of the Triangle NGP.

Hence, after a 180° rotation, the triangle KXH is dilated by a scale factor of 1/2. In symbol, this can be written as:

Note that instead of using 1/2, we use decimal because the instruction is to use integer or decimal.

The answer is Option D and fill in the box with D sub 0.5 as shown above.

Answer:

Jo earned a profit of $2500.

Step-by-step explanation:

Given that:

Selling price of 5000 gallons = $1 per gallon

Total selling price = 1 * 5000 = $5000

Production cost = 50 cents per gallon = $0.5 per gallon

Total production cost = 0.5 * 5000 = $2500

Production cost < Selling cost

Therefore,

Jo earned profit on gasoline.

Profit = Selling cost - Production cost

Profit = 5000 - 2500

Profit = $2500

Hence,

Jo earned a profit of $2500.

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

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\\)

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

Answer:

$288

Step-by-step explanation:

If each square yard of carpet is $36, you just have to multiply 8 by that to get the total.

Because each square yard = $36 all you do is add $36, 8 times. But the easiest way to do it would be to simply times 36 by 8:

36 x 8 =288

So your answer is,

$288.00

Hope this helps! Good luck.

The bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

To find the correlation between the bacterial count after 24 hours and 48 hours, we would need the actual numerical values of the bacterial counts for each strain. Without that information, we cannot calculate the correlation coefficient. However, it is important to note that a positive correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours also increases. A negative correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

The complete question is-

Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. Here are the resulting bacterial counts for each condition:

24 hr: 66, 71, 93, 102, 62

48hr: 110,123,146,136,113

If we had plotted bacterial count at 35 degrees Celsius on the y-axis instead of the x-axis, the value of the correlation coefficient would be

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Answer:

77.4

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

Delta math :)

Answer:

Step-by-step explanation: just / the $7.04 by 8 since there is 8 bars then boom

Step-by-step explanation:

A person with five children earns 4613 200 per month.

a Calculate the tax allowances.

b Calculate the taxable income.

C Calculate the amount of tax paid.

d Calculate the income after tax is paid.

Answer:

Step-by-step explanation:

choices:

W c Z

R c W

0 E Z

∅ c R

{0, 1, 2, ...} c_ W

-2 E W

Answer:

933.3333333

Step-by-step explanation:

Answer:

75 students

Step-by-step explanation:

divide by .4

Answer:

Step-by-step explanation:

$6903 so thos is the answer

Answer:

answer is $613.50

Step-by-step explanation:

The equation that represents this direct variation is  (7/4)x flowers planted in x minutes.

Given,

Caroline planted first 7 flowers in 4 minutes.

After 12 minutes, she had planted 21 different flowers.

We have to find the equation that represents this direct variation;

Here,

We can use Unitary method;

Unitary Method;

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

That is,

4 minute ⇒ 7 flowers

1 minute ⇒ 7/4 flowers

Therefore,

x minute ⇒ (7/4)x flowers

Therefore,

The equation that represents this direct variation is  (7/4)x flowers planted in x minutes.

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Answer:

98

Step-by-step explanation:

7 : 11 :: x : 154

Also,

\( \frac{7}{11} = \frac{x}{154} \)

\( = > \frac{x}{154} = \frac{7}{11} \)

\( = > x = \frac{7 \times 154}{11} \)

=> x = 7 × 14

=> x = 98 (Ans)

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:  The cost of the 7.5 lbs of walnuts be $2.16 . It costs $3.45 to buy lb of chopped walnuts.

Answer:

$34.50

Step-by-step explanation:

First, find how much 1 lb costs.

To do this divide 3.45 by 3 to get 1/4 lb and then multiply by 4 to get the cost of 1 lb.

3.45/3 = 1.15      1.15 x 4 = 4.60

So 1 lb is $4.60

Multiply the cost of 1 lb by 7.5 to find the cost for 7.5 lbs

$4.60 x 7.5 = $34.50

Hope this helps!

For the given bond with a 20-year maturity, a par value of $1,000, a coupon rate of 10%, and a bond price of $850, the bond equivalent yield to maturity is approximately 13.59% and the effective annual yield to maturity is approximately 14.08%.

To find the bond equivalent yield and effective annual yield to maturity of a 20-year bond with a par value of $1,000, a coupon rate of 10%, and a bond price of $850, follow these steps:

1. Calculate the semiannual coupon payment: The coupon rate is 10%, so the annual coupon payment is 10% of the par value, which is $1,000. Therefore, the semiannual coupon payment is $1,000 * 10% / 2 = $50.

2. Calculate the number of semiannual periods: Since the bond has a 20-year maturity, there are 20 * 2 = 40 semiannual periods.

3. Calculate the yield to maturity (YTM) using the bond price: There are several methods to calculate the YTM, such as using financial calculators or spreadsheet software. For simplicity, let's use the trial-and-error method. Start by assuming a YTM, then calculate the present value of the bond's cash flows using that YTM. Adjust the YTM until the present value matches the bond price. For this example, let's assume a YTM of 6%.

  - Calculate the present value of the coupon payments: Since the coupon payments are semiannual, we need to discount them at the semiannual yield rate. The semiannual yield rate is half of the YTM, so it is 6% / 2 = 3%. We can use the present value of an ordinary annuity formula to calculate the present value of the coupon payments:
    PV_coupon = $50 * (1 - 1 / (1 + 3%)^40) / (3%)

  - Calculate the present value of the par value: The par value is received at the end of the bond's maturity, so we only need to discount it once at the YTM. The present value of a single payment formula can be used to calculate the present value of the par value:
    PV_par = $1,000 / (1 + 6%)^40

  - Calculate the total present value: The total present value is the sum of the present values of the coupon payments and the par value:
    PV_total = PV_coupon + PV_par

  - Adjust the assumed YTM until the present value matches the bond price: Iterate the above steps with different YTM values until the calculated present value matches the bond price of $850. In this example, let's assume that the YTM needed to achieve this is 6.5%.

4. Calculate the bond equivalent yield (BEY): The BEY is a measure of the bond's annual yield assuming a 365-day year, while the coupon payments are semiannual. To calculate the BEY, use the following formula:
  BEY = (1 + YTM)^2 - 1

  - Substitute the YTM value found in step 3:
    BEY = (1 + 6.5%)^2 - 1

5. Calculate the effective annual yield (EAY): The EAY is another measure of the bond's annual yield, but it takes into account the compounding effect of the semiannual coupon payments. To calculate the EAY, use the following formula:
  EAY = (1 + BEY / 2)^2 - 1

  - Substitute the BEY value found in step 4:
    EAY = (1 + BEY / 2)^2 - 1

In summary, for the given bond with a 20-year maturity, a par value of $1,000, a coupon rate of 10%, and a bond price of $850, the bond equivalent yield to maturity is approximately 13.59% and the effective annual yield to maturity is approximately 14.08%.

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Answer:

32. Good luck............

Answer:

x=-12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

80=4x+4(−4x−16)

80=4x+(4)(−4x)+(4)(−16)(Distribute)

80=4x+−16x+−64

80=(4x+−16x)+(−64)(Combine Like Terms)

80=−12x+−64

80=−12x−64

Step 2: Flip the equation.

−12x−64=80

Step 3: Add 64 to both sides.

−12x−64+64=80+64

−12x=144

Step 4: Divide both sides by -12.

-12x/-12=144/-12

x=-12

Answer:

x = -12

Step-by-step explanation:

-4x - 16  =   -4 • (x + 4)

80 -  (4x +  -16 • (x + 4))  = 0

12x + 144  =   12 • (x + 12)

12 • (x + 12)  = 0

x+12 = 0

Answer:

D..... 3 lines of Symmetry

Answer:

C associative to associate both of them

Answer: A) No, because it has a constant rate of change

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

Explanation:

Each time x goes up by 1, y drops by 2.

This means,

slope = rise/run

slope = (change in y)/(change in x)

slope = (y drops by 2)/(x goes up by 1)

slope = -2/1

slope = -2

-----------

We can pick two points from the table to plug into the slope formula. I'll pick the first two rows

m = slope

m = (y2-y1)/(x2-x1)

m = (2-4)/(7-6)

m = -2/1

m = -2

If you tried every pair of rows possible for this table, you'll get the same slope each time. This is why the rate of change is constant.

This means the data is linear instead of nonlinear. Plotting the points leads to a single straight line going through all four points. See the diagram below. The graph was made with GeoGebra.

The equation of that red line is y = -2x+16 which is equivalent to 2x+y = 16.

In the graph, going from A to B has us go down 2 and to the right 1, which is one visual way of seeing the slope is -2/1 = -2.

Answer:

Step-by-step explanation:

The verbal problem that leads to the given linear equation and inequality in one variable is "The sum of a number x and one more than y is equal to 24."

In the given equation, we have x + (y + 1) = 24. Let's break down the equation and interpret it in a verbal problem. The equation states that "x + (y + 1) = 24." This means that we have two variables, x and y, and their sum, when increased by 1, equals 24. To convert this into a verbal problem, we can create a scenario where x and y represent unknown quantities. Let's say we have two friends, x and y, and we want to find the total amount of money they have when combined. Suppose x represents the amount of money friend x has, and y represents the amount of money friend y has. The equation tells us that when we add friend x's money to one more than the amount friend y has, we get a total of 24 dollars.For example, if friend x has $10 and friend y has $13, we can verify the equation. x + (y + 1) = 10 + (13 + 1) = 10 + 14 = 24. The equation x + (y + 1) = 24 provides a concise mathematical representation of the verbal problem, expressing the sum of x and one more than y equating to 24.

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Answer:

The rate charged by first mechanic per hour= x =$85

The rat charged by second mechanic per hour =y = $70

Step-by-step explanation:

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1900. What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Solution

Let

x= hourly rate of the first mechanic

y= hourly rate of the second mechanic

Derive two equations to solve for the two unknowns

10x + 15y = 1900 (1)

x + y = 155 (2)

From (2)

x + y = 155

x=155-y

Substitute x=155-y into (1)

10x + 15y = 1900

10(155-y) + 15y =1900

1550 -10y + 15y =1900

5y =1900-1550

5y=350

Divide both sides by 5

y= 70

Substitute y=70 into (2)

x + y = 155

x + (70) =155

x=155 - 70

= 85

x= 85

The rate charged by first mechanic per hour= x =$85

The rat charged by second mechanic per hour =y = $70

Answer:

Step-by-step explanation:

if 10 pgs = 120 mins

then 15 pgs = 15 × 120÷10

                 =1800÷10

                = 180 mins

if 60 min = 1 hr

then 180 min = 180×1÷60

                      = 3 hrs

thus it will take her 3hours

The algorithm for generating X using the composition method is as follows:

- Generate U from a uniform distribution on [0, 1].

- Initialize j = 1 and CPD(j) = P(X=1).

- While U > CPD(j), increment j by 1 and update CPD(j) by adding P(X=j).

- Set X = j.

(a) To generate a random variable X with the probability mass function P(X=j) = j(j+1)/6, where j = 1, 2, ..., we can use the inverse transform method.

1. Generate a random number U from a uniform distribution on the interval [0, 1].

2. Find the smallest integer j such that the cumulative distribution function (CDF) evaluated at j is greater than U. The CDF is given by F(j) = ∑(k=1 to j) P(X=k).

3. Set X = j.

The algorithm for generating X using the inverse transform method is as follows:

- Generate U from a uniform distribution on [0, 1].

- Initialize j = 1 and F = P(X=1) = 1/6.

- While U > F, increment j by 1 and update F by adding P(X=j).

- Set X = j.

(b) To generate a random variable X with the given probabilities, we can use the composition method.

1. Create a cumulative probability distribution (CPD) by summing up the probabilities.

2. Generate a random number U from a uniform distribution on the interval [0, 1].

3. Find the smallest integer j such that the CPD evaluated at j is greater than U.

4. Set X = j.

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