What is 'Five less than 25' in numerical expression?

Answer:

Lines RS and TV are parallel.

Line TV has a slope of 0.

Line SW has an undefined slope.

Step-by-step explanation:

Lines RS and TV are parallel as we know they will never meet because they are straight lines.

Line TC has a slope of 0 because it is horizontal.

Line RS can't be the slope of 6, because a slope greater or less than 0 will be diagonal.

Line SW has an undefined slope because it is vertical.

Line SW is perpendicular to both as it forms a 90-degree angle for both, so the 5th term is wrong.

The statements A, B, and D are true about the given lines for the shown figure.

Parallel lines are two or more lines in a plane that are equidistant from each other at all points. This means that they never meet or cross each other, no matter how far they are extended.

As per the shown graph, we have:

Lines RS and TV are parallel since we know they will never intersect due to their straightness.

Because line TC is horizontal, it has no slope.

Line RS cannot have a slope of 6, since any slope higher or less than 0 is diagonal.

Since Line SW is vertical, it has an undefined slope.

Since line SW creates a 90-degree angle with both, the fifth statement is incorrect.

Therefore, statements A, B, and D are true about the given lines for the shown figure.

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The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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The idea here is to compare diagonal lengths that are given in different numerical forms. So the best way to compare which one is smaller and which one larger, is to type all of them in decimal form (which is more obvious to our reasoning)

So, since one length is given as 6.7 cm, (we leave it like that (it is in decimal form)

The length given in fraction form: 34/5 we write in decimal form: 6.8 cm

And finally, the one that comes with a square root, we use the calculator to investigate its decimal form:

So now we can order them from shortest to largest:

6.0415

6.7

6.8

which means in rectangles:

T

P

S

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

k is equal to 42

Step-by-step explanation:

The remainder is 0, so k=-6 is a zero

Answer:

8 essay-type questions

Step-by-step explanation:

This is the answer because:

1) 2 out of 5 is the same as 2/5

2) Next, we have to get 2/5's denominator to equal 20.

2 x 4/5 x 4 = 8/20

3) 8/20 means that 8 of the test questions are essay-type

Hope this helps!

The marginal revenue function R'(1000) is 145.

The term "marginal cost" describes the rise or fall in price associated with producing or providing services to an additional consumer. It also goes by the name incremental cost.

Given,

P = 195 - q/40

C(q) = 19000 + 3q

(A) Marginal cost

C'(q) =  0 + 3

= 3

(B) Revenue function

R(q) = q × P

= q( \(195- \frac{q}{40}\))

= 195q - q²/40

(C) Marginal revenue

R'(q) = 195 - 2q/40

= 195 - q/20

(D) R'(1000) = 195 - 1000/20

= 195 - 50

= 145

(E) P(q) = R(q) - C(q)

195q - (q²/40) - 19000 - q/40

194q - (q²/40) - 19000

(F) P'(1000) = 194 - 2q/40

= 194 - 2(1000)/40

= 194 - 50

= 144

The marginal revenue function is 145.

The profit function in terms of q is 194q - (q²/40) - 19000.

The marginal profit function P'(1000) is 144.

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Answer:

-10

Step-by-step explanation:

The required y-intercept of the line y = 4x - 10 is -10.

What is the intercept in the equation?

In the equation, the intercept is the value of the linear function where either of the variables is zero.

Here,

The equation y = 4x - 10 is in slope-intercept form, where the coefficient of x is the slope of the line, and the constant term is the y-intercept.

So, the y-intercept of the line y = 4x - 10 is -10. This means that the line intersects the y-axis at the point (0,-10). When x is 0, the value of y is -10, which is the y-intercept.

Thus, the required y-intercept of the line y = 4x - 10 is -10.

Answer:

Reflection

Step-by-step explanation:

Because reflecting yourself in a mirror means pre image to image

Answer:

Step-by-step explanation:

dilation

16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

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Answer: B. Take on a risky loan just to get your credit started.

Step-by-step explanation: Taking on a risky loan, such as a high-interest loan or one with unfavorable terms, can have significant negative impacts on your financial well-being.  It's crucial to exercise caution and choose loans that are manageable for your financial situation.

Financial strain: Risky loans often come with high-interest rates, meaning you'll end up paying more in interest over time.  This can lead to financial strain as a substantial portion of your income may be allocated towards loan repayments.  It's important to consider the monthly payment amount and ensure it fits within your budget.

Difficulties in repayment: Risky loans can make it difficult to meet your repayment obligations.  If you struggle to make timely payments, you may face penalties, late fees, and damage to your credit score.  This can have long-term consequences, making it harder for you to secure future loans or rent an apartment.

To avoid these risks and maintain good credit:

Loan selection: Carefully evaluate the terms and conditions of any loan before accepting it.  Look for options with reasonable interest rates, favorable repayment plans, and borrower protections. Federal student loans, scholarships, grants, and work-study programs should be prioritized before resorting to private loans, which often have higher interest rates and fewer benefits.

Responsible credit behavior: Building and maintaining good credit is crucial for your financial future.  Paying your bills on time and managing credit card balances wisely are key components of responsible credit behavior.  This demonstrates to lenders that you are reliable and trustworthy, increasing your chances of obtaining favorable loan terms in the future.

By being cautious in loan selection and practicing responsible credit behavior, you can avoid the negative consequences of risky loans, protect your financial well-being, and establish a solid credit foundation. Remember to prioritize loans within your means and always be mindful of your financial situation.

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The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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The surface area of the rectangular prism is 1476 square units

From the question, we have the following parameters that can be used in our computation:

30 mm by 12 mm by 9 mm

The surface area of the rectangular prism is calculated as

Surface area = 2 * (Length * Width + Length * Height + Width * Height)

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)

Evaluate

Area = 1476

Hence, the area is 1476 square units

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Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Complete Question

Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. What does the denominator of this rational expression represents?

Answer:

Number of people going on the tour

Step-by-step explanation:

Given that the average profit per person  \(=\dfrac{18x+35}{x}\)

\(\text{Average}=\dfrac{\text{Sum of Total Items}}{\text{Number of Items}}\)

Therefore:

\(\text{Average Profit}=\dfrac{(18x+35)\text{ profit}}{x\text{ persons}}\)

The denominator, x represents the number of people going on the tour.

Answer:

btw 35/x represents epresents a fixed cost, like a cover charge for the tour, that is not affected by the number of people attending the tour. So, the quotient 35/x represents the profit that the tour company makes from the cover charge per person.

Step-by-step explanation:

PLATO

Based on answer above we need a sample size of \($[214]$\) to be within \($5 \%$\) of the true proportion of women over age 55 who are widows and be \($900 \%$\)  confident.

What is standard deviation?

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

given-

\($$\begin{aligned}& \hat{P}=P_0=0.27, \quad M O . E=0.05=E . \\& \alpha=0.10, \hat{q}=1-0.27=0.73 .\end{aligned}$$\)

Formula for sample size is -

\($$n=\hat{p} \cdot \hat{q} \cdot\left(\frac{2_{\alpha / 2}}{E}\right)^2$$\)

Three main reasons mentioned in the problems -

1. The problem mentions proportion or percentage

2. Asks us to find the sample size (how large or how many)

3. The population standard deviation is not given.

Proportion \($=27.1=0.27$\).

Margin of error \($=5 \%=0.05$\).

\($\hat{q}=1-\hat{p}=1-0.27=0.73$\)

z-score \($=z_{\alpha / 2}=1.645$\).

\($n=0.27 \times 0.73 \times\left[\frac{1.645}{0.05}\right]^2$\)

=213.343

\($n \approx 214$\)

n=214

Based on answer above we need a sample size of [214] to be within 5 % of the true proportion of women over age 55 who are widows and be 900 % confident.

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Answer:

x=11.34

Step-by-step explanation:

The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.

To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.

Let's substitute y with 0 in the equation:

0 + 2 = 2(x + 3)

Simplifying the equation:

2 = 2(x + 3)

Dividing both sides by 2:

1 = x + 3

Subtracting 3 from both sides:

-2 = x

The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).

The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.

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Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Answer:

The correct answer is the first one

Step-by-step explanation:

Given:

h = 22 yd

a (base) = 152 yd^2

Find: v - ?

First, let's write down the formula of the rectangular prism's volume:

\(v = a(base) \times h\)

Since we know both the area of the base and the height, we can easily find the volume:

\(v = 152 \times 22 = 3344 \: {yd}^{3} \)

Answer:

$70.31

Step-by-step explanation:

Hope this helps

Answer:

$117.19

Step-by-step explanation:

93.75 * .25 =23.4375

23.4375+93.75 = $117.1875

(rounded:$117.19)

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

There are 16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

OR

12 x 8 = 96

96/6=16

Answer:

1710

Step-by-step explanation:

simplify | 1×10^3 + 7×10^2 + 4×10 = 1710

Answer:

Step-by-step explanation:

V = 4/3.pi.r^3

36 = 4/3 pi r^3

8.6 = r^3

r = 2 in

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

Area of sphere :

A = 4.pi.r^2

A = 4 . Pi . 2^2

A = 16 Pi

A = 50.26 in

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

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