the question is in the picture. PLEASE HELP!!!! Thank you!!!;);)

Solution

-8 r + 8r =0

And the correct answer would be:

Inverse property of addition

The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

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a. The input levels that form the boundaries of stage II are x = 0 and x = 10.

b. The value that maximizes the marginal physical product (MPP) of x is x = 5.

c. The value of x that maximizes y is x = 10.

a. To find the boundaries of stage II, we need to determine where the marginal product of x (MP) starts to decrease. The MP is given by the derivative of the production function with respect to x:

MP = d(y)/dx = 32x - 1.2x^2

To find the boundaries, we set MP equal to zero and solve for x:

32x - 1.2x^2 = 0

x(32 - 1.2x) = 0

This equation gives us two solutions: x = 0 and x = 32/1.2 = 26.67. However, since the production function only applies to non-negative values of x, the boundary of stage II is x = 0.

b. The marginal physical product (MPP) of x is the derivative of the MP with respect to x:

MPP = d(MP)/dx = 32 - 2.4x

To maximize MPP, we set its derivative equal to zero and solve for x:

32 - 2.4x = 0

2.4x = 32

x = 32/2.4

x ≈ 13.33

However, since the production function only applies to non-negative values of x, the maximum MPP is obtained at the boundary of stage II, which is x = 0.

c. To find the value of x that maximizes y, we need to find the critical points of the production function. The critical points occur where the derivative of the production function with respect to x is equal to zero:

d(y)/dx = 32x - 1.2x^2 = 0

Solving this equation, we get:

32x - 1.2x^2 = 0

x(32 - 1.2x) = 0

This equation gives us two solutions: x = 0 and x = 32/1.2 = 26.67. However, since the production function only applies to non-negative values of x, the value that maximizes y is x = 0.

In summary:

a. The input levels that form the boundaries of stage II are x = 0 and x = 10.

b. The value that maximizes the marginal physical product (MPP) of x is x = 5.

c. The value of x that maximizes y is x = 10.

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By using Unitary method, it can be calculated that

An object whose mass is 10 kg weighs 90 N

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here, Unitary method will be used

The weight of an object varies directly with the mass of the object.

An object whose mass is 7 kg weighs 63 N

An object whose mass is 1 kg weighs \(\frac{63}{7}\) N

An object whose mass is 1 kg weighs 9 N

An object whose mass is 10 kg weighs \(9 \times 10\) = 90 N

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We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:

x-intercept = (-40,0) and y-intercept = (15,0)

Answer:

x-intercept: (0, -40)

y-intercept: (15, 0)

Step-by-step explanation:

x-intercept: (0, -40)

y-intercept: (15, 0)

We get this because the intercept of an axis is when the line passes through the axis. For y, the x value will always be 0. For x, the y value will always be 0.

This means that if 7 or more teachers attend the training, it will be a good decision, as the cost of sending them will be less than the cost of not sending them.

What is an algebraic manipulation?

Algebraic manipulation is the process of rearranging mathematical expressions in order to solve equations or to make them easier to understand. It involves the use of mathematical operations and properties such as addition, subtraction, multiplication, division, and the commutative, associative, and distributive properties.

To determine if sending teachers to the summer training on mentor groups is a good decision, the committee needs to calculate the break-even point. This is the point at which the cost of sending the teachers is equal to the cost of not sending them. The break-even point can be calculated by dividing the advanced payment by the difference between the cost at registration and the advanced payment.

In this case, the break-even point is: $1,250 ÷ ($175 - $1,250) = $1,250 ÷ -$1,075 = 7 teachers.

Hence, This means that if 7 or more teachers attend the training, it will be a good decision, as the cost of sending them will be less than the cost of not sending them.

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X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

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Step-by-step explanation:

5 − 3x = −7

=> 5 + 7 = 3x

=> 12 = 3x

\( = > x = \frac{12}{3} \)

=> x = 4 (Ans)

Given :

⠀

To Find :

⠀

Solution :

\(\qquad \sf \: { \dashrightarrow 5 - 3x = - 7}\)

⠀

Adding (–5) to both sides :

\(\qquad \sf \: { \dashrightarrow 5 + ( - 5) \: − 3x = −7 + ( - 5)}\)

\(\qquad \sf \: { \dashrightarrow \: − 3x = - 12}\)

⠀

Dividing both sides by 3 :

\(\qquad \sf \: { \dashrightarrow \dfrac{ - 3x}{3} = \dfrac{ - 12}{3} } \)

\(\qquad \sf \: { \dashrightarrow − x = −4}\)

⠀

Cancelling (–) from both sides we get :

\(\qquad {\pmb {\bf{ \dashrightarrow x = 4}}} \\ \)

⠀

Therefore, The required value of x is 4.

Answer:

  6π cm

Step-by-step explanation:

For a circle, the perimeter is equal to the circumference. The formula for the circumference of a circle is ...

  C = 2πr

where r is the radius of the circle.

__

Substituting the given value of radius into the formula gives ...

  C = 2π(3 cm)

  C = 6π cm

The perimeter of the circle is 6π cm.

J and K have values of 0.38 and 0.50, respectively with sampling distribution for the sample variance.

Given data;

The sampling distribution for the sample variance using the distribution;

(I) To find the value of J,

(II) To find the value of K,

We know;

⇒ ∑P(s²) = 1

⇒ J + K + 0.12 = 1

   J + K = 0.88

   K = 0.88 - K

Now K = 0.5;

J = 0.88 - 0.5

  = 0.38

Therefore, the values of J and K are 0.38 and 0.50 respectively.

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Answer:

90

Step-by-step explanation:

Both angles 90 and x are the same, so they add up to 180. Simply 180 - 90 = 90

The probability that Jamie makes exactly 7 shots out of 10 free throws is 0.214990848.

To find the probability that Jamie makes exactly 7 shots out of 10 free throws, we can use the binomial probability formula. The formula is as follows: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient that represents the number of ways to choose k successes from n trials.

Now, we can plug in the values that we know into the formula:

n = 10,

k = 7,

p = 0.6 P(X = 7)

= (10 choose 7) * 0.6^7 * (1-0.6)^(10-7)

We need to evaluate (10 choose 7) using the combination formula: (10 choose 7) = 10! / (7! * 3!) = 120Plugging this into the binomial formula,

we get:

P(X = 7) = 120 * 0.6^7 * 0.4^3

= 0.214990848

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Answer:

83 percent

Step-by-step explanation:

10/12= 0.83

move up the decimal point and your answer is 83%

hope that helps :)

to find the mean value of y given an x value, you need to identify the given x value, find all the corresponding y values in the data set, add them up, and then divide the sum by the total number of y values. This will give you the average value of the dependent variable (y) for that specific x value.

The mean value of y given an x value refers to the average value of the dependent variable (y) when the independent variable (x) has a specific value. To find this mean value, follow these steps:
Collect data points
Gather a set of data points that have both x and y values. Make sure you have multiple y values for the given x value.
Identify the given x value
Find the specific x value in the data set for which you want to determine the mean value of y.
Find the corresponding y values
Locate all the y values in the data set that correspond to the given x value.
Add the y values
Add up all the corresponding y values found in step 3.
Count the number of y values
Count the total number of y values corresponding to the given x value.
Calculate the mean value of y
Divide the sum of the y values (step 4) by the number of y values (step 5) to calculate the mean value of y for the given x value.

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Answer:

C) 3 1/4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

Yes, i agree with hector. The polygon in above figure is irregular due to unequal side lengths and Hector also states that it is not regular or irregular.

A polygon is a 2-D geometric figure that has a finite number of sides. The sides are equal in length. It is a closed shape formed by end to end joining of straight line segments. For examples of regular polygons are square, rhombus, equilateral triangle, etc.

An irregular polygon, also called a non-regular polygon. It is a shape that does not have all sides of equal length and all angles of equal. For examples scalene triangle, rectangle, kite etc. are examplses of irregular polygon.

Now, we have a polygon present in above figure. As we see that this figure has 8 sides and length of one side is equal to its opposite side, but all sides are not equal length. So, it is an irregular polygon. Hector also states that above figure is irregular polygon. Hence, i agree with hector.

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Complete question:

Hector states that the figure to the above is a polygon is not regular. Do you agree with hector. Explan

1) State the null and alternative hypotheses:

H0: p = 0.75 (The proportion of customers who prefer the low-calorie drink is 75%)

H1: p > 0.75 (The proportion of customers who prefer the low-calorie drink is greater than 75%)

2) Formulate the decision rule:

We will use a one-tailed test with a significance level of α = 0.05. This means we will reject the null hypothesis if the test statistic falls in the critical region corresponding to the rejection of the null hypothesis at the 0.05 level of significance in the right tail.

3) Calculate the test statistic:

The test statistic for a one-sample proportion test is calculated as:

z = (p' - p) / √(p * (1 - p) / n)

Where p' is the sample proportion, p is the population proportion under the null hypothesis, and n is the sample size.

In this case, p' = 80/100 = 0.8, p = 0.75, and n = 100.

z = (0.8 - 0.75) / √(0.75 * (1 - 0.75) / 100)

z = 0.05 / √(0.1875 / 100)

z = 0.05 / √0.001875

z ≈ 3.06

4) Make a decision and interpret the results:

Since we have a one-tailed test, we compare the test statistic to the critical value at the 0.05 level of significance.

From the standard normal distribution table or using a statistical software, the critical value for a one-tailed test with α = 0.05 is approximately 1.645.

Since 3.06 > 1.645, the test statistic falls in the critical region, and we reject the null hypothesis.

Based on the sample data, there is sufficient evidence to conclude that the proportion of customers who prefer the low-calorie drink is greater than 75%. The company should launch the product as it is expected to be profitable.

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Answer:

b=-1

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5(5−7b)=8−(4b+6)

Step 1: Simplify both sides of the equation.

0.5(5−7b)=8−(4b+6)

0.5(5−7b)=8+−1(4b+6)(Distribute the Negative Sign)

0.5(5−7b)=8+−1(4b)+(−1)(6)

0.5(5−7b)=8+−4b+−6

(0.5)(5)+(0.5)(−7b)=8+−4b+−6(Distribute)

2.5+−3.5b=8+−4b+−6

−3.5b+2.5=(−4b)+(8+−6)(Combine Like Terms)

−3.5b+2.5=−4b+2

−3.5b+2.5=−4b+2

Step 2: Add 4b to both sides.

−3.5b+2.5+4b=−4b+2+4b

0.5b+2.5=2

Step 3: Subtract 2.5 from both sides.

0.5b+2.5−2.5=2−2.5

0.5b=−0.5

Step 4: Divide both sides by 0.5.

0.5b/0.5=−0.5/0.5

b=−1

Answer:

D

Step-by-step explanation:

You take the area of the square minus the area of the circle.

Answer:

10 inches by 4 inches

Step-by-step explanation:

Area of envelope, A = 40 in²

Perimeter of envelope, P = 28 in

Area = Length * width, L*W

Perimeter = 2(L + W)

40 = LW - - - (1)

28 = 2(L+W)

28/2 = L+W

14 = L+W - - - (2)

Solving like a quadratic equation ;

We need two numbers whose sum gives 14 and product gives 40

The numbers are 10 and 4

(10*4) = 40 and (10+4) = 14

Answer:

x = 73/12

Step-by-step explanation:

Given:

\(\displaystyle \large{12(x-7)=-11}\)

Distribute 12 in x-7:

\(\displaystyle \large{12x-84=-11}\)

Add both sides by 84:

\(\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}\)

Divide both sides by 12:

\(\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}\)

Therefore, the solution is x = 73/12

Answer:

\(\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

Step-by-step explanation:

\(12(x - 7) = -11\)

Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .

\(12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11\)

Bring -84 to the right hand side of the equation. Then,

\(12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

\(\rule{150pt}{2pt}\)

Answer:

\( \sqrt{44} \)

Answer:

44

Step-by-step explanation:

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

14 minutes below the average

6 minutes above the average

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

Let A = average running time

Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.

Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.

We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.

-------------

Let's plug in J = A-4 and solve for S

|S-J| = 10

|S - ( J )| = 10

|S - (A-4)|

|S-A+4| = 10

S-A+4 = 10  or  S-A+4 = -10

S-A = 10-4  or  S-A = -10-4

S-A = 6  or  S-A = -14

S = A+6 or S = A-14

The equation S = A+6 shows Sophia is 6 minutes above the average

The equation S = A-14 shows Sophia is 14 minutes below the average

-------------

Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.

If A = 20, then Jacob's time is J = A-4 = 20-4 = 16

If the average running time is 20 minutes, then Jacob ran for 16 minutes.

If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)

If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)

This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.

The present value of a four-period annuity of $200 per year, begins two years from today, can be calculated using the present value of an annuity formula.With a discount rate of 9%, the present value approx $703.30.

To calculate the present value of the annuity, we use the formula PV = C * [1 - (1 + r)^(-n)] / r, where PV represents the present value, C is the cash flow per period, r is the discount rate, and n is the number of periods.

In this case, C = $200, r = 9% (0.09 as a decimal), and n = 4. We substitute these values into the formula: PV = $200 * [1 - (1 + 0.09)^(-4)] / 0.09.

Next, we simplify the formula: PV = $200 * [1 - 0.683013455] / 0.09.

Evaluating the expression inside the brackets, we have PV = $200 * 0.316986545 / 0.09.

Performing the division, we find that the present value is approximately $703.30.

Therefore, the present value of the four-period annuity is approximately $703.30 when the discount rate is 9%.

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