Please help answer this question.

Answer:

The increase is $90 - $80 = $10.

Step-by-step explanation:

To find the percent of increase, we start by finding the amount of increase as a fraction or proportion of the original amount. In this case, the amount of increase is:

$10 / $80 = 0.125

To convert this to a percentage, we multiply by 100:

0.125 × 100 = 12.5%

Therefore, Peter's salary increase represents a 12.5% increase from last week's salary.

hope it helps:)

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

We converted the measurement of 6 ft x 6 ft to inches using a conversion factor of 12 inches per foot, resulting in a total area of 5,184 square inches.

Measurement is an important aspect of our daily lives, and it involves quantifying the size, length, or dimensions of an object or space. Different units of measurement are used to express the size or length of an object, depending on the context or purpose.

The measurement of 6 ft x 6 ft is the size or area of a square-shaped object, where each side is 6 ft long. To convert this measurement to inches, we need to use a conversion factor that relates feet to inches. One foot is equal to 12 inches, so we can multiply each side of the square by 12 to get the corresponding measurement in inches.

6 ft x 12 inches/ft = 72 inches

Therefore, the measurement of 6 ft x 6 ft in inches is 72 inches x 72 inches, which equals 5,184 square inches. This means that if we had a square-shaped object with sides measuring 6 feet, the total area of the object would be 5,184 square inches.

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Answer:

false

Step-by-step explanation:

The statement "Construct validity ensures that the measure includes an adequate and representative set of items." is true because researchers can determine the extent to which a measure has construct validity and whether it includes an adequate and representative set of items.

Construct validity is established by accumulating evidence through various means. One way to establish construct validity is by examining the content of the measurement tool. This involves carefully selecting items that represent the construct of interest.

In mathematical terms, we can think of construct validity as a process of creating a mathematical model that accurately reflects the construct being measured. This model should include a comprehensive set of items that adequately represent the construct.

In practice, researchers employ statistical techniques such as factor analysis to examine the relationships between the items and the construct.

Construct validity also involves assessing the convergent and discriminant validity of the measure. Convergent validity refers to the degree to which different items measuring the same construct are positively related to each other.

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The 4 is the number the student thought about.

To solve this problem, we will use algebraic expressions. First, let us define the unknown number, x. The problem states that "4 times my number increased by 30 equals 70 decreased by the number." This can be translated into the following equation:

4x + 30 = 70 - x

To solve for x, we need to isolate it on one side of the equation. Let's start by moving all the terms with x to the left side and all the constant terms to the right side.

4x + x = 70 - 30x + 4x + x = 40

Simplifying, we get:

10x = 40

Dividing both sides by 10:

x = 4

Therefore, the number that the student thought of is 4.

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The 6.02 line of best fit is a straight line that best represents the trend or pattern of association between two variables on a scatter plot. It is also known as the regression line.

What is regression line?

In the context of MS Pre-Algebra S2 V16.2, the line of best fit is used to analyze patterns of association between two sets of data. For example, if we have data on the height and weight of a group of individuals, we can use a scatter plot to visualize the relationship between these two variables.

By drawing a line of best fit through the data points, we can see the general trend or pattern of association between height and weight. This line can then be used to make predictions about the weight of an individual based on their height, or vice versa. The line of best fit is a useful tool for analyzing patterns of association in a variety of fields, including statistics, economics, and social sciences.

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Complete question is: The 6.02 line of best fit is a straight line that best represents the trend or pattern of association between two variables on a scatter plot.

To solve the given questions related to the Otto cycle, we can use the following equations and  relationships like Compression ratio, Climate temperature after the compression process (T2),  Work used in the compression process

1. Compression ratio (r):

The compression ratio of the Otto cycle is given by the ratio of the maximum volume to the minimum volume in the cylinder.

\(r = (V_min / V_max)\)

2. Climate temperature after the compression process (T2):

Using the ideal gas law, we can calculate the temperature after the compression process:

\(T2 = (P2 / P1) * T1\)

3. Work used in the compression process (W_comp):

The work done in the compression process is given by:

\(W_comp = Cv * (T2 - T1)\)

4. Maximum process temperature (T_max):

The maximum process temperature is achieved during the combustion process and can be calculated using the relationship:

\(T_max = T2 * (P_max / P2) ^ ((k - 1) / k)\\\)

5. Heat input into the process (Q_in):

The heat input into the process is given by:

\(Q_in = Cp * (T_max - T2)\)

6. Direct temperature after expansion (T3):

After the expansion process, the temperature can be calculated using the relationship:

\(T3 = T_max / ((V_max / V3) ^ (k - 1))\)

7. Work due to expansion (W_exp):

The work done during the expansion process can be calculated using the equation:

\(W_exp = Cv * (T3 - T2)\)

Given:

\(P1 = 1.013 barT1 = 37 °CP2 = 20.268 barP_max = 44.572 bar\)

k = 1.4

\(Cp = 1.005 kJ/kgKCv = 0.718 kJ/kgK\)

\(R = 0.287 kJ/kgK\)

Now, we can substitute the  given values into the equations to find the required quantities.

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Answer:

35 milligrams

Step-by-step explanation:

To get from 12 ounces to 3 ounces, you need to divide by 4.

Do the same with 140 milligrams and you get 140/4=35 milligrams.

The researcher can be 95% confident that the mean number of hours all the residents of the city are watching news on television is between 1.7538 and 1.8462 hours, with a margin of error of 0.0462 hours.

Based on the information provided, the researcher surveyed 220 residents of the city and found that the mean number of hours they spend watching news on television each day is 1.8, with a standard deviation of 0.35.

The researcher wants to know the margin of error at a 95% confidence level for the mean number of hours all residents of the city are watching news on television.

To calculate the margin of error, we need to use the formula:
Margin of error = Critical value x Standard error

The critical value for a 95% confidence level is 1.96, and the standard error can be calculated as:
Standard error = Standard deviation /square root of sample space

Substituting the values given:
Standard error = 0.35 / sqrt(220) = 0.0236

Therefore, the margin of error can be calculated as:
Margin of error = 1.96 x 0.0236 = 0.0462

So, the researcher can be 95% confident that the mean number of hours all the residents of the city are watching news on television is between 1.7538 and 1.8462 hours, with a margin of error of 0.0462 hours.

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The sample space for genders from two births would include four possible outcomes: two boys, two girls, one boy and one girl (in either order).

 The sample space for the genders from two births includes all the possible outcomes of genders for two children. In this case, there are four possible combinations:

1. Male (M) - Male (M)
2. Male (M) - Female (F)
3. Female (F) - Male (M)
4. Female (F) - Female (F)

So, the sample space for the genders from two births is {MM, MF, FM, FF}.

In probability theory, the sample space is the set of all potential outcomes or results of an experiment or random trial. It is also referred to as the sample description space, possibility space, or outcome space. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space. A sample space is frequently referred to as S,, or U (for "universal set"). A sample space may contain symbols, words, letters, or numbers as its components. They may also be uncountably infinite, countably infinite, or finite.

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To find the rate at which the radius of the oil spill is increasing when the area is 7 mi^2, dr/dt ≈ 0.203 mi/hr the area of the spill is 7 mi^2, dr/dt ≈ 0.203 mi/hr the radius is increasing at a rate of 0.203 mi/hr.

Where A is area and r is the radius. Taking the derivative of both sides with respect to time, we can express the rate of change of the area as dA/dt = 2πr(dr/dt). Given that dA/dt is constant at 8.5 mi^2/hr, we can substitute the values to find the rate at which the radius is increasing.

We have the equation dA/dt = 2πr(dr/dt), where dA/dt represents the rate of change of the area, r is the radius, and dr/dt is the rate at which the radius is changing. We are given that dA/dt is constant at 8.5 mi^2/hr. When the area is 7 mi^2, we can substitute these values into the equation: 8.5 = 2π(7)(dr/dt)

Simplifying the equation, we can solve for dr/dt: dr/dt = 8.5 / (2π(7)) Evaluating the expression, we find: dr/dt ≈ 0.203 mi/hr

Therefore, when the area of the spill is 7 mi^2, the radius is increasing at a rate of approximately 0.203 mi/hr.

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Answer:

12.8

Step-by-step explanation:

8÷5/8 is also the same as:

8 x 1/5 x 8

Proof:

a. The initial size of the bacteria colony is 1 gram.

b. The growth rate for this bacteria colony is 25% per day.

c. The size of the bacteria colony after t days is given by the equation S(t) = 1 * e^(0.25t) grams.

d. To find when the colony size reaches 5 grams, we need to solve the equation 5 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(5)/0.25 ≈ 8.7 days.

e. The doubling time for this colony is approximately 2.77 days, which is found by solving the equation 2 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(2)/0.25 ≈ 2.77 days.

The law of uninhibited growth states that the growth rate of a population is proportional to its size, and there are no limiting factors that affect the growth. In this problem, the size of the bacteria colony is modeled using an exponential function, where the initial size of the colony is 1 gram and the growth rate is 25% per day.

To find the size of the colony after a certain number of days, we can substitute the given value of t into the equation S(t) = 1 * e^(0.25t). For example, after 5 days, the size of the colony is S(5) = 1 * e^(0.25*5) ≈ 2.28 grams.

To find when the colony size reaches a certain value, we need to solve the exponential equation S(t) = 1 * e^(0.25t) = A, where A is the desired size. Taking the natural logarithm of both sides and rearranging, we get t = ln(A)/0.25. For example, to find when the colony size reaches 5 grams, we solve the equation 5 = 1 * e^(0.25t) for t and get t = ln(5)/0.25 ≈ 8.7 days.

The doubling time is the time it takes for the population to double in size. In this case, we need to solve the exponential equation 2 = 1 * e^(0.25t) for t. Taking the natural logarithm of both sides and rearranging, we get t = ln(2)/0.25 ≈ 2.77 days.

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Answer:4/ 1/5=20 or 4/.20=20

Step-by-step explanation: brainliest?

The answer of given question is option a) per worker expenditures for best practices training

The term "expenditures" refers to the sum of money that a person, business, or government spends or pays for a particular objective or thing. It is the total amount of money spent on products and services over a certain time period. Costs associated with operating a business or organisation, such as salaries and wages, materials, supplies, equipment, advertising, utilities, and rent, can all be considered expenditures.

According to question

The satisfying statement is

a) per worker expenditures for best practices training, the S/Q rating of the pairs being produced, the percentage use of superior materials, and expenditures for TQM/Six Sigma quality control efforts.

So, option (a) is correct

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Answer:

y≤-x+1

Step-by-step explanation:

Since the line is slanted down and crossing through a point every one unit the slope is negative one. The line is also crossing 1 on the y-axis. This is the y-intercept. The last thing we need to know is which sign to use, less than, greater than, less than or equal to, greater than or equal to. We can immediately cross out less than and greater than because it is a solid line. The sign used on the graph is less than or equal to because it is a solid line shaded to the left. Now, we can use the formula with the information we have found to create the linear inequality.

Formula: y≤x+b

I put the less than or equal to sign there instead of the equal sign because the line graphed is less than or equal to. Plug in the information we have.

y≤-x+1

Using function notation.

f(x)≤-x+1

I have also attached a picture for you to see it is correct.

Hope this helps!

If not, I am sorry.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The deposits helped them produce iron goods.

Answer:

35 - 4x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

35−4x=3

35+−4x=3

−4x+35=3

Step 2: Subtract 35 from both sides.

−4x+35−35=3−35

−4x=−32

Step 3: Divide both sides by -4.

-4x/−4  =  −32/ −4

x=8

Answer:

8 friends

Step-by-step explanation:

4 doesn't go evenly to 9 ppl so it would be 8 friends and 3 extra pieces

Answer:

Step-by-step explanation:

-3x - 45 + 4 - 5x = 10x - 5

-8x - 41 = 10x - 5

-18x = 36

x= -2

John rode 1.7 kilometers farther than Sally. In conclusion, John rode the farthest, 1.7 kilometers farther than Sally

To answer this question, we first need to convert Sally's distance from meters to kilometers as we have to give the answer in km.

1 kilometer = 1000 meters

Therefore, Sally's distance in kilometers would be:

300 meters ÷ 1000 meters/kilometer

= 0.3 kilometers

Now, to find out who rode the farthest, we need to compare their distances.

John rode 2 kilometers while Sally rode 0.3 kilometers.

Therefore, John rode farther than Sally. The difference in their distances would be:

2 kilometers - 0.3 kilometers= 1.7 kilometers

Therefore, John rode 1.7 kilometers farther than Sally. In conclusion, John rode the farthest, 1.7 kilometers farther than Sally

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To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.

Step 1: Identify the critical value (z-score) for a 90% confidence interval. This can be found in a standard z-table or using a calculator. The critical value for a 90% confidence interval is 1.645.

Step 2: Use the margin of error (E) formula to calculate the sample size (n):
E = (z * σ) / √n

Where E is the margin of error (0.5 mph), z is the critical value (1.645), σ is the standard deviation (7 mph), and n is the sample size.

Step 3: Rearrange the formula to solve for n:
n = (z * σ / E)^2

Step 4: Plug in the values and calculate the sample size:
n = (1.645 * 7 / 0.5)^2
n ≈ 338.89

Since the sample size must be a whole number, round up to the nearest whole number.

To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.

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Answer:

108 km/h = 30 m/s

Step-by-step explanation:

1 km = 1,000 m, 1 hr = 3,600 sec.

108 × 5 ÷ 18 = 30

Answer:

En effet, 108 km/h = 30 m/s

Step-by-step explanation:

mais pourquoi la question est-elle en fr ?

Answer:

time = 70 minutes

Answer: So i did the math and the surface area is 756cm² and the volume is 4080cm³ (the math is simple its just a lot. So if I´m wrong then i am truly sorry) Good Luck!

Step-by-step explanation:

This choice satisfies the equation h(x) = f(g(x)), where h(x) = sin(x) and f(x) = cos(x).

To determine the function g(x) that satisfies the equation h(x) = f(g(x)), we need to find the appropriate expression for g(x) that results in the given compositions of functions.

h(x) = sin(x)

f(x) = cos(x)

Let's substitute these values into the equation h(x) = f(g(x)):

sin(x) = cos(g(x))

To find the correct expression for g(x), we need to solve for g(x) by equating the corresponding trigonometric functions.

We know that sin(x) and cos(x) are related by a phase shift of π/2. This means that the argument of cos(x) must be equal to the argument of sin(x) plus π/2.

Comparing the given equation sin(x) = cos(g(x)), we can conclude that:

g(x) = x + π/2

Therefore, among the given options, the correct choice is:

C) g(x) = π/2 + x

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Answer:

Look at image

Step-by-step explanation:

We are given that we need to find the value of x based on two sides of a triangle (12 and 5).

We are given the side that is adjacent to the angle and the hypotenuse. This means we will use the cosine ratio (CAH).

Therefore, we will find the inverse of cosine at this value.

Therefore, the measure of x is equivalent to approximately 65.4 degrees.

Answer:

-2(3) can be model as -6

Explanation:

To model -2(3), we need to model 3 times the number -2 as:

Therefore, -2(3) can be model as the number -6