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Here is the question
If Shelly has $50.00 in her bank account and adds in $100.00 and takes out $60.00 the next day how much money does Shelly have now?

Answer:

x=111, y=29

Step-by-step explanation:

Angles can be measured in degrees and radians

The measure of angle XYZ is 34 degrees

From the question, the measure of arc XY is 68 degrees

The measure of angle XYZ is then calculated as:

Angle XYZ = 0.5 * Arc XY

This gives

Angle XYZ = 0.5 * 68

Evaluate the product

Angle XYZ = 34

Hence, the measure of angle XYZ is 34 degrees

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The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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The company would take 15 days to complete the job with 20 men working at the rate of 12 hours a day.

The company employs 30 men who work for 5 hours a day to complete a job in 10 days. Thus, the number of man-hours required to complete the job is 30 × 5 × 10 = 1500 man-hours. Now, the same job has to be completed by 20 men working for 12 hours a day. Let the number of days required to complete the job be d. Then the number of man-hours required to complete the job is 20 × 12 × d = 240d. Therefore, 240d = 1500. d = 1500/240 = 6.25 days. Hence, the company would take 15 days to complete the job with 20 men working at the rate of 12 hours a day.

Equations are like a balance scale. If you’ve seen a balance scale, you would know that an equal amount of weight has to be placed on either side for the scale to be considered “balanced”. If we add some weight to just one side, the scale will tip on one side and the two sides are no longer in balance. Equations follow the same logic. Whatever is on one side of the equal sign must have exactly the same value on the other side else it becomes an inequality.

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The slope of the line tangent to the polar curve at theta = 0 can be found by taking the derivative of the polar curve equation with respect to theta and evaluating it at theta = 0.

To determine the slope of the line tangent to the polar curve at theta = 0, we need to find the derivative of the polar curve equation with respect to theta and evaluate it at theta = 0. Let's assume the polar curve is represented by the equation r = f(theta), where f(theta) is some function of theta. To find the derivative, we can use the polar coordinate transformation equations:

x = r * cos(theta)

y = r * sin(theta)

Differentiating both equations with respect to theta using the chain rule, we get:

dx/dtheta = dr/dtheta * cos(theta) - r * sin(theta)

dy/dtheta = dr/dtheta * sin(theta) + r * cos(theta)

To find the slope, we calculate dy/dx:

dy/dx = (dy/dtheta) / (dx/dtheta)

Now, substituting the expressions for dx/dtheta and dy/dtheta, we have:

dy/dx = (dr/dtheta * sin(theta) + r * cos(theta)) / (dr/dtheta * cos(theta) - r * sin(theta))

Finally, evaluating this expression at theta = 0 gives us the slope of the tangent line at that point.

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(a) Confidence interval of 4547 to 8473 steps means the average number of steps taken by employees falls in that range with 95% confidence.

(b) The point estimate was 6510 and  the margin error is 1963

(c) Yes, there  is convincing evidence that the employees of this company are not meeting the guideline, on average

If we take many samples of size 50 and calculate many intervals, about 95% of the interval will capture the true average of steps for an employee in a day.

We are 95% confident that the interval from 4547 to 8473 steps contains the true average steps for employees/day.

Since all plausible values in our interval are under 10,000, there is convincing evidence that the employees are not meeting this guideline, on average.

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(3) Add: Under applied overhead 34,000

(4) Adjusted cost of goods sold 364,000

1 and 2 RAW MATERIAL INVENTORY

Beginning balance 75,000

a 225,000 150,000 b, Ending Balance 150,000

WORK IN PROGRESS INVENTORY

Beginning balance 140,000

b 125,000 352,000 g

c 60,000

f 105,000

j Ending Balance 78,000

FINISHED GOODS INVENTORY

Beginning balance -

g 352,000 330,000 h

Ending Balance 22,000

FACTORY OVERHEAD

b 25,000

c 40,000 105,000 f

d 74,000

Ending Balance 34,000

COST OF GOODS SOLD

h 330,000

Ending Balance 330,000

Factory overhead applied on the basis of direct labor cost .

Hence applied overhead = 60,000 x 175% = $105,000Step: 2

3)

Computation of under /(over) applied OH

Actual OH($) Applied OH ($) Under /(over) applied OH ($)

139,000 105,000 34,000

Actual manufacturing overhead:

$

Indirect material 25,000

Indirect Labour 40,000

Other manufacturing overhead 74,000

139,000

4)

Cost of goods sold (Unadjusted) 330,000

Add: Under applied overhead 34,000

Adjusted cost of goods sold 364,000

Actal manufacturing overhead is more than applied overhead,it means factory overhead under applied and it will be added in unadjusted cost of goods sold to ascertain adjused cost of goods sold.

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The least squares regression line for the given data is = -2.34X - 7.4. This line represents the best-fit line that minimizes the sum of the squared differences between the predicted values and the actual values.

In the first paragraph, the least squares regression line is stated as = -2.34X - 7.4. This equation represents the relationship between the independent variable (X) and the dependent variable (). The negative coefficient of X (-2.34) indicates a negative correlation, suggesting that as X increases, decreases. The intercept term (-7.4) represents the value of when X is equal to zero. In the second paragraph, the explanation of the least squares regression line is provided. The least squares method calculates the line that minimizes the sum of the squared differences between the predicted values (based on the line) and the actual values of . This line is considered the best-fit line because it optimally captures the overall trend of the data points. By substituting different values of X into the equation, we can estimate corresponding values of . For example, when X is 5, the predicted value of would be -2.34(5) - 7.4 = -18.7. Similarly, other values of can be estimated using this equation.

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Answer:

PQ = 35 km

Step-by-step explanation:

Here, we want to get the length of PQ

Let PQ = x

PR is 10 km longer than PQ

PR = 10 + x

QR = 2 * PR

QR = 2(10 + x)

Adding all gives 170;

x + 10 + x + 2(10 + x) = 170

2x + 10 + 20 + 2x = 170

4x + 30 = 170

4x = 170-30

4x = 140

x = 140/4

x = 35 km

PQ = 35 km

The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Length of line segment (say YX) is the distance of both the ends of it (y to x).

Towns P, Q and R are connected by roads PQ ,PR and QR.

The line segment PR is 10 km longer than PQ. Therefore,

\(PR=PQ+10\\PQ=PR-10\)            ......1

The line segment QR is twice as long as the line segment PR. Therefore,

\(QR=2PR\)                 .....2

The total length of three roads is 170 km. Therefore,

\(PQ+PR+QR=170\)

Put the value of PR and QR from equation 1 and 2 in the above equation as,

\((PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km\)

As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,

\(PR=45-10\\PR=35\rm km\)

Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

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Our expression is

Answer: Total cost of their meal is $78

Step-by-step explanation: 20% of 65 is a 13 dollars tip adding up to a total of $78

65*0.2 = 13

65+13=78

The given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3.

What is the linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The equation 4x=3y-7

So, here we can solve this equation for the x as well as y equals,

Firstly we will solve for x:

4x = 3y - 7

dividing the whole equation by 4 we get,

4x/4 = (3y - 7)/4

x = (3y - 7)/4

Similarly, we will solve for y:

4x = 3y - 7

3y = 4x + 7

dividing the whole equation by 3 we get,

3y/3 = (4x + 7)/3

y = (4x + 7)/3

Hence, the given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3

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Answer:

x^2=1.69

x^2=169/100

\( \sqrt{x { }^{2} } = \sqrt{ \frac{169}{100} } \) x= 13/10

therefore x= 1.3

Answer:

y=4/5×-1 is the answer!

Answer:

Cactus Juice

Step-by-step explanation:

After drinking cactus juice, Sokka begins to hallucinate. Katara, Sokka, Toph, and Momo stagger tiredly through the desert.

Answer:

Cactus Juice. The quenchiest.

In triangle ABC, AB + BC > AC is the correct option.

Three straight sides and three angles make up the two-dimensional geometric shape known as a triangle. they can be of many types .

I think that the question is related to the triangle,

Choose the correct option for ∆ABC,

a. AB + BC > AC

b. AB + BC < AC

c. AB + AC < BC

d. AC + BC < AB

Given, ABC is a triangle.

We are aware that the length of a triangle's third side is always greater than the sum of its other two sides.

Let the two sides of ∆ABC is AB and BC and the third side is AC.

So, AB + BC > AC

Therefore, option a is true.

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What are the possible orderings of the sides of triangle ABC, given the three sides are AB, BC, and AC?

a: BC, AB, AC

b: AB ,BC, AC

c: AC ,AB, BC

d: AB ,AC, BC

Answer:

m < 15

Step-by-step explanation:

2m+10 < 40

Subtract 10 from each side

2m+10-10 < 40-10

2m < 30

Divide by 2

2m/2 = < 30/2

m < 15

Answer:

x=9

Step-by-step explanation:

25-16=9

you subtract 16 from both sides

x=9

EXPLANATION:

x=25-16

x=9

9+16=25

In an isosceles triangle, the base angles are congruent. Let's denote the base angle as θ. We can use the trigonometric relationship between the sides and angles of a right triangle to find the value of θ.

In this case, we have an isosceles triangle with legs of length 30 and an altitude to the base of length 20. The altitude forms a right triangle with one leg equal to half the base (15) and the hypotenuse equal to one of the legs (30).

Using the trigonometric relationship sine (sin), we can write:

sin(θ) = opposite/hypotenuse

sin(θ) = 20/30

sin(θ) = 2/3

To find the value of θ, we can take the inverse sine (sin^(-1)) of both sides:

θ = sin^(-1)(2/3)

Using a calculator, we find:

θ ≈ 41.81 degrees

Therefore, the nearest degree of a base angle of the isosceles triangle is 42 degrees.

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The sequence xn = 2ⁿexp{-wn}  defines a nonnegative martingale. It is based on the waiting time sequence wn in a Poisson process with intensity lambda = 1.

To show that xn = 2ⁿexp{-wn} defines a nonnegative martingale, we need to demonstrate two properties: nonnegativity and the martingale property.

First, let's establish the nonnegativity property. Since wn represents the waiting time sequence in a Poisson process, it is always nonnegative. Additionally, 2ⁿ is also nonnegative for any positive integer n. The exponential function exp{-wn} is nonnegative as well since the waiting time is nonnegative. Therefore, the product of these nonnegative terms, xn = 2ⁿexp{-wn}, is also nonnegative.

Next, we need to verify the martingale property. A martingale is a stochastic process with the property that the expected value of its next value, given the current information, is equal to its current value. In this case, we want to show that E[xn+1 | x1, x2, ..., xn] = xn.

To prove the martingale property, we can use the properties of the Poisson process. The waiting time wn follows an exponential distribution with mean 1/lambda = 1/1 = 1. Therefore, the conditional expectation of exp{-wn} given x1, x2, ..., xn is equal to exp{-1}, which is a constant.

Using this result, we can calculate the conditional expectation of xn+1 as follows:

E[xn+1 | x1, x2, ..., xn] = 2^(n+1) exp{-1} = 2ⁿexp{-1} = xn.

Since the conditional expectation of xn+1 is equal to xn, the sequence xn = 2ⁿ exp{-wn} satisfies the martingale property. Therefore, it defines a nonnegative martingale.

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The maximum rate, r, that the scuba diver may descend is r ≤ 12.6

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let r represent the rate. Since the initial depth is 15.2 feet below sea level, hence b = -15.2. Also, it reaches a depth no more than 46.7 feet below sea level within 2 1/2 (2.5 minutes). therefore:

2.5r - 15.2 ≤ -46.7

2.5r ≤ -31.5

r ≤ -12.6

r ≤ 12.6 (descending)

The maximum rate, r, that the scuba diver may descend is r ≤ 12.6

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Answer:

K12 Answer

Step-by-step explanation:

\(15x^3y^2+10x^2y-20x^2y^3 = 5x^2y(3xy + 2 - 4y^2)\)

Answer:

y is less than or equal to -12

y<=-12

Step-by-step explanation:

Answer:

y≤12

Step-by-step explanation:

-3(2y+4)≥12-4y

-6y-12≥12-4y

-6y+4y≥12+12

-2y≥24

-2y÷2≤24÷2 (You have to flip the sign if you multiply or divide by a negative number)

y≤12

Answer:

I am not sure , but my answer would be 42.5° .

Answer:

I found x for you, right there.

Answer:  x is 12 and y is 5

Step-by-step explanation:

Answer:

Solution:

13 2/11

Step-by-step explanation:

Answer:

The answer is 13 2/11

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 145 by 11 and keep only what is to the left of the decimal point:

145 / 11 = 13.1818 = 13

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

145 - (11 x 13) = 2

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 145/11 as a mixed number is:

13 2/11  

Answer:

(5,4)

Step-by-step explanation:

What is the solution of two function?

The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.

How do identify the solution via graph.

We can identify the solution of a system of equations via graph by looking at where the two functions intersect.

Identifying the solution.

Looking at the graph, the two lines intersect at (5,4)

The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)

The rule is

If two lines are graphed then their solution is their intersection point .

Here both f(x) and g(x) are intersecting at

So (5,4) is solution

Option C is correct

Answer:

Disagree ΔABC ≅ ΔDEC by ASA butt by SAS

Step-by-step explanation:

point C is the midpoint of (A/E), C is also the midpoint of (B/D )

BC = CD   and AC = CE

∠BCA = ∠ECD

ΔABC ≅ ΔDEC by SAS not by ASA

The question states that we have a supply function denoted as s(q) and a demand function denoted as d(q). We are required to complete parts (a) through (d) based on this information.

In this part, we are likely asked to find the equilibrium quantity q* where the supply and demand functions intersect. This occurs when s(q) equals d(q). By setting (q) equal to d(q) and solving for q, we can determine the equilibrium quantity q*. Part (b) may ask us to find the equilibrium price, denoted as p*, corresponding to the equilibrium quantity q* found in part. To do this, we substitute the equilibrium quantity q* into either the supply or demand function and solve for p.

Part (c) might require us to determine the consumer surplus at the equilibrium quantity q*. Consumer surplus represents the difference between the willingness of consumers to pay for a good or service and the actual price they pay. To calculate the consumer surplus, we integrate the demand function from zero to q* and subtract the area under the demand curve up to the equilibrium price.

In this part, we might be asked to find the producer surplus at the equilibrium quantity q*. The producer surplus measures the difference between the cost of production for a good or service and the price at which it is sold. To compute the producer surplus, we integrate the supply function from zero to q* and subtract the area under the supply curve up to the equilibrium price.

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