b = 7:2
how many times larger is a than b

The Possible Energy Collected in kJ is 30,999 kJ.

The first step in solving this problem is to determine the area of the oven. To do this, we need to multiply the length (53.2 cm) by the width (44.5 cm). This gives a result of 2359.4 cm².

Next, we can calculate the energy collected in kJ. To do this, we need to multiply the power (1120.3 W/m²) by the area of the oven (2359.4 cm²) and then by the time (71.9 min) and then divide by 1000 to convert into kilojoules (kJ). This gives the following equation:

Energy collected (kJ) = (1120.3 W/m² × 2359.4 cm² × 71.9 min) / 1000

Substituting in the values, this gives a result of 30,999 kJ of energy collected.

Therefore, the Possible Energy Collected in kJ is 30,999 kJ.

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Answer:

15

Step-by-step explanation:

12+3=15

Answer:

It is A and D

The city streets are overcrowded with cars

There is a lot of noise pollution

Step-by-step explanation:

The correct answers are the city streets are overcrowded with cars and there is a lot of noise pollution.

A government is the system or group of people governing an organized community, generally a state

The following statements represent possible problems:

The city streets are overcrowded with cars.

The noise level is raising.

And the following statements are possible solutions:

More money from the city government should go to public transportation.

A subway system should be built.

People should be encouraged to carpool to work and school.

Therefore, the correct answers are the city streets are overcrowded with cars and there is a lot of noise pollution.

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Answer: (3x - 12) + 5x

Step-by-step explanation: Distribute the 3 inside the parentheses to get

(3x - 12) + 5x, if they want it simplified more you could add 3x to 5x to get 8x - 12

Step-by-step explanation:

3 multiply both (x-4)

3x-12+5x collect like term

8x-12

Answer: 7.1

Step-by-step explanation:

Exponential functions: y=ab^x

A = starting value

R= rate ex: 3% = .03

B= 1 + r

Then write your exponential function

Step 1: For solving this exercise, we need to know the speed of sound. We will calculate it this way:

Speed = Distance/Time

Replacing with the values Josh has.

Speed = 5 miles/12 seconds

Speed = 0.417 miles per second

Step 2: Now, let's calculate the distance after 7 seconds:

Using the same formula, we can find the distance, as follows:

Distance = Speed * Time

Distance = 0.417 * 7

Distance = 2.919

Distance = 3 miles (Rounding to the nearest whole number)

Step 3: Interpretation of the answer, as follows:

The lightning was 3 miles away when Josh counted 7 seconds between the next flash of lightning and thunder.

The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Since our obsevation is the find out the amount of mercury in different water condition, it'll be best observed in river trout, stream trout; lake trout, ocean trout.

Answer:

− 6 x  +  3

Step-by-step explanation:

hope that helps :)

There are four possible three-letter arrangements that Amy can form using the letters from the word "dice" without repeating any letters. To form a three-letter arrangement using only letters from the word "dice" without repeating any letters, we can use the formula for combinations.

The formula is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.
In this case, n = 4 (the total number of available letters) and r = 3 (the number of letters to be chosen for the arrangement).
5. Substituting these values into the formula, we get \(4C_{3}\) = 4! / (3!(4-3)!) = 4! / (3!1!) = (4 * 3 * 2) / (3 * 2 * 1) = 4.

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Answer:

40%

Step-by-step explanation:

Discount = 40%

10% = 0.245

40% = 0.98

$2.45 - $0.98 = $1.47

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

One student, Kyle, hasn't taken his final exam yet, but his marks in the first five categories are 90, 79, 82, 70, and 85. This problem requires determining the weighted mean for Kyle before the final exam and comparing it to the unweighted mean.

To calculate the weighted mean for Kyle before the final exam, we need to multiply each category's mark by its corresponding weight, sum them up, and divide by the total weight. For Kyle, the weighted mean would be calculated as follows:

Weighted Mean = (Knowledge × 25% + Application × 20% + Thinking × 10% + Culminating Project × 15% + Final Exam × 15% + Communication × 15%) / (Total Weight)

However, since Kyle hasn't written his final exam yet, we can exclude the Final Exam mark and its weight from the calculation. The weighted mean would then be:

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

To find the difference between the weighted mean and the unweighted mean, we need to calculate the unweighted mean by simply taking the average of the marks in the first five categories:

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

By comparing the weighted mean and the unweighted mean, we can evaluate how much the inclusion of weights for different categories affects Kyle's overall mark.

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When the cash flow of the alternative with the lower initial investment is subtracted from that with the higher initial Investment, a rate of return on the incremental cash flow that equals or exceeds the MARR means the lower initial investment alternative is the more attractive is a True statement.

MARR refers to the minimum acceptable rate of return. It's also known as the hurdle rate or the cut-off rate. It is utilized in capital budgeting to calculate whether a proposed investment in a capital project is economically viable or not.

The MARR is often determined by considering factors such as the risk associated with the investment, the cost of capital, and the expected rate of inflation.

The given statement, "When the cash flow of the alternative with the lower initial investment is subtracted from that with the higher initial Investment, a rate of return on the incremental cash flow that equals or exceeds the MARR means the lower initial investment alternative is the more attractive" is a true statement.

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Answer:156 Yd ∧3

Step-by-step explanation:

lengthl = 8 ydwidthw = 6.5 ydheighth = 3 yddiagonald = 10.7354553 ydtotal surface areaStot = 191 yd2lateral surface areaSlat = 87 yd2top surface areaStop = 52 yd2bottom surface areaSbot = 52 yd2volumeV = 156 yd3

Answer:

B. 12cm

Step-by-step explanation:

We can double check by plugging in the number. However, the question trys to trick you, by giving you the diametre, but in order for the formula to work (V=4 /3πr^3), we will divide the diametre by 2 (12 ÷ 2= 6),

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

Once we do that, we can double check, when you plug in your numbers your answer will be around 900 (904.78, to be exact, but the question asks for approximate diamtetre).

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Have a good day :)

(a)(i) The formula for the area of a circle is A = πr², where r is the radius of the circle. Since y is proportional to xn, we have y = kx², where k is the constant of proportionality. Therefore, y cm² = kx² cm². Comparing this to the formula for the area of a circle, we see that n = 2.

(a)(ii) The formula for distance is d = rt, where d is the distance, r is the constant speed, and t is the time taken to travel the distance. Since y is proportional to xn, we have y = kxⁿ, where k is the constant of proportionality. Therefore, y hours = kxⁿ hours. Comparing this to the formula for distance, we see that n = 1.

(b) The formula for inverse proportionality is F = k/d², where F is the force, d is the distance between the particles, and k is the constant of proportionality. Since the force is 36 units when the distance between the particles is r metres, we have 36 = k/r². Solving for k, we get k = 36r². Therefore, the formula for the force is F = 36r²/d².

When the distance between the particles is 3r metres, the formula becomes F = 36r²/(3r)² = 4 units. Thus, the force when the distance is 3r metres is 4 units.

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Answer:

< K = 135

Step-by-step explanation:

< K = 180 - < H

= 180 - 45 = 135

The measure of angle K is 135 degrees and this can be determined by using the properties of a parallelogram.

Given :

In parallelogram HIJK, the measurement of angle H is 45 degrees.

The following steps can be used in order to determine the measure of angle K:

Step 1 - According to the definition of a parallelogram, the opposite sides of a parallelogram are parallel.

Step 2  - According to the given data, the measurement of angle H is 45 degrees.

Step 3 - So, according to the definition of a parallelogram, the measure of angle K is:

\(\rm \angle H + 90 = \angle K\)

\(\rm 45 + 90 = \angle K\)

\(\rm \angle K =135^\circ\)

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The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

Answer:

0.4476

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

because 89-49=49 49 rouded to the nearest ten is 50

Answer:

K=5

This should be right.

There is about a 27% chance of her sinking at least one ball on her break 14 or fewer times in 20 games and no convincing evidence that her average is less than 80%.

Based on the dotplot of the simulation results, it appears that the player's true probability of sinking at least one ball on her break is not 80%. In the simulation, there were only 12 trials out of 100 where the player sank at least one ball on her break 14 or fewer times in 20 games. This corresponds to a probability of 12/100, or 12%.

Since the player's actual performance in the last 20 games (14 out of 20) is less likely to occur than what was observed in the simulation, we can conclude that the player's true probability of sinking at least one ball on her break is less than 80%.

Therefore, the correct conclusion is: there is about a 27% chance of her sinking at least one ball on her break 14 or fewer times in 20 games. This result is not unusual and there is no convincing evidence that her average is less than 80%.

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We have not found enough evidence to support the professor's claim that the majority of her students believe in ghosts.

Null hypothesis: the majority of her students do not believe in ghosts.

H0: P ≤ 0.50

Alternative hypothesis: the majority of her students believe in ghosts.

HA: P > 0.50

Significance level: α = 0.05

Calculate the sample proportion, P :

P = ₁/ = 145/250 = 0.58

Calculate the standard error:

= √(P (1 − P)/) = √(0.58 (1 − 0.58)/250) = 0.039

Calculate the test statistic:

= (P − ₀)/ = (0.58 − 0.50)/0.039 = 1.54

Determine the p-value:

The p-value is determined by finding the area to the right of the test statistic. Using a z-table, the area to the right of 1.54 is 0.063.

Since 0.063 > 0.05, we fail to reject the null hypothesis. This means that there is not enough evidence to support the professor’s claim that the majority (more than 50%) of her students believe in ghosts.

Based on the results of this test, we have not found enough evidence to support the professor's claim that the majority of her students believe in ghosts.

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Complete question:

What is the probability of obtaining a sample proportion of 145 out of 250 students who believe in ghosts, given that the true proportion of students who believe in ghosts is greater than 50%?

Efficiency refers to the extent to which resources, such as time, money, or energy, are utilized effectively and productively to achieve a desired outcome.

The fuel efficiency, in miles per gallon, of an American-made car: Continuous. Fuel efficiency can be measured in decimals and have a range of values.

(b) The temperature of a burrito served to a customer in a local Mexican restaurant: Continuous. Temperature can be measured in decimals and have a range of values.

(c) The actual length of a roll of plastic wrap is advertised to be 30 feet long: Continuous. Length can be measured in decimals and have a range of values.

(d) The number of children in a household: Discrete. The number of children can only be whole numbers (e.g., 0, 1, 2, 3).

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Answer:

7 1/10 inch

Step-by-step explanation:

The simplified boolean expression with minimum number of literals is \($y'z + xz + xyz$\).

The given boolean expression is: \($(x+y+z)(x'y'+z)$\)

To simplify the boolean expression to a minimum number of literals, we have to use the distributive law of Boolean Algebra.

Distributive law of Boolean algebra states that the product of sum (POS) or sum of product (SOP) of Boolean expression is equal to the sum of products or product of sums of each term of the expression respectively.

According to this law, we can write the given boolean expression as:

\($(x+y+z)(x'y'+z)$= $x'y'x + x'y'z + xy'z + xyz + xz + y'z$\)

In order to simplify this boolean expression further, we can look for similar terms.

We can see that the term \($x'y'z$\) and \($xy'z$\) are common, so we can combine them using Boolean algebra.

\($x'y'z + xy'z = y'z(x'+x) = y'z$\)

Using this simplification, we can write the Boolean expression as follows:

\($(x+y+z)(x'y'+z)$= $x'y'x + y'z + xyz + xz + y'z$= $0 + y'z + xyz + xz$\)

Thus, the simplified boolean expression with minimum number of literals is \($y'z + xz + xyz$\).

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Taking a sample of 5 students, to determine if there is a significant improvement in students' test scores over the course of the semester, comparison of the scores of Test 1 and Test 2 for each student need to be made.

Student 1: Test 1 = 80, Test 2 = 85

Student 2: Test 1 = 70, Test 2 = 75

Student 3: Test 1 = 85, Test 2 = 80

Student 4: Test 1 = 90, Test 2 = 92

Student 5: Test 1 = 75, Test 2 = 70

To assess individual improvement, we can calculate the difference between Test 2 and Test 1 scores for each student:

Student 1: Improvement = Test 2 - Test 1 = 85 - 80 = 5

Student 2: Improvement = Test 2 - Test 1 = 75 - 70 = 5

Student 3: Improvement = Test 2 - Test 1 = 80 - 85 = -5

Student 4: Improvement = Test 2 - Test 1 = 92 - 90 = 2

Student 5: Improvement = Test 2 - Test 1 = 70 - 75 = -5

Analyzing the individual improvements, we can see that three out of the five students (Student 1, Student 2, and Student 4) have shown an improvement in their test scores. However, two students (Student 3 and Student 5) have shown a decline in their scores. Based on this sample, we cannot draw a definitive conclusion about significant improvement on an individual basis over the course of the semester. Further analysis and a larger sample size would be necessary to establish any significant trends or patterns.

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Answer:

2/3= 0.666666666667

Step-by-step explanation:

Literally nothing occurs. On the off chance that the two terminals are at an equivalent voltage, no ongoing streams, any more than if you contacted two impartial bits of metal together.

Cases 1 and 3 are basically something very similar. There's a voltage difference, so current normally streams. In any case, you don't have a circuit, so when electrons stream from the lower positive voltage (which is zero assuming it's released) to the higher positive terminal, the electrons develop and make a static charge that balances the voltages. This occurs in a small part of a second, so the current is negligible, and voltage promptly stops.

The standard metric unit on electric potential difference is the volt, truncated V and named to pay tribute to Alessandro Volta. One Volt is identical to one Joule per Coulomb. In the event that the electric potential difference between two areas is 1 volt, one Coulomb of charge will acquire 1 joule of potential energy when moved between those two areas. In the event that the electric potential difference between two areas is 3 volts, one coulomb of charge will acquire 3 joules of potential energy when moved between those two areas.

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