ASAP please
Instead of solving the division problem 400 divided by 50. Minh doubled both numbers to form the division 800 divided by 100 . Find the quotients.
thanks

The arc length covered by the central angle equal to 72° is 12.56°

Arc length is the distance between two points along a section of a curve.

Given that, a circle with radius 10 units and a central angle equals 72°, we need to find the arc length covered by the central angle = 72°

We know that,

Arc length = 2π × radius × (θ / 360°), where θ is the central angle

Arc length = 2 × 3.14 × 10 × 72°/360°

= 12.56°

Hence, the arc length covered by the central angle equal 72° is 12.56°

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If you were to travel 253 miles north from the equator on a perfect sphere Earth, you would have covered approximately 2.41 degrees of latitude.

On a perfect sphere Earth, the distance between each degree of latitude is approximately 69 miles. This value can be derived by dividing the Earth's circumference (24,901 miles) by 360 (the total number of degrees in a circle). Therefore, each degree of latitude represents roughly 69 miles.

To calculate the number of degrees of latitude covered when traveling 253 miles north from the equator, we divide the distance by the approximate value of 69 miles per degree:

253 miles / 69 miles per degree ≈ 2.41 degrees

Thus, traveling 253 miles north from the equator on a perfect sphere Earth would cover approximately 2.41 degrees of latitude.

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The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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Step-by-step explanation:

the correct answer is option a 6a-7

We need to solve the expression:

The first step is to subtract "7" on both sides.

Then we need to divide both sides by 4.

The result of the equation is "c=4".

Events A and B are NOT INDEPENDENT because P(A and B) ≠ P(A)P(B).

When events A and B are independent, then the occurrence of event B does not affect the probability of event A occurring.

The probability of getting a multiple of 3 or a number less than 4 is 6/12 or 1/2.

The probability of getting an even number or a multiple of 5 is 9/15 or 3/5.

The probability of drawing a second red marble, given that the first marble is red, is 5/14.

If events A and B are independent, then P(A and B) = P(A)P(B). However, in this case, we have P(A and B) = 0.02, P(A) = 0.5, and P(B) = 0.4. Therefore, P(A and B) ≠ P(A)P(B), which means events A and B are not independent.

P(coffee)P(tea) = 0.5 x 0.35 = 0.175

Since P(coffee and tea) ≠ P(coffee)P(tea), we can conclude that liking coffee and tea are not independent.

Therefore, the correct answer is C) Liking coffee and tea are not independent since P(coffee and tea) ≠ P(coffee)P(tea) and P(tea|coffee) ≠ P(tea).

There are four multiples of 3 (3, 6, 9, and 12) and three numbers less than 4 (1, 2, and 3) on the die, but we need to be careful not to double-count the number 3. Therefore, there are six outcomes that satisfy the condition, and the total number of outcomes is 12. Therefore, the probability of getting a multiple of 3 or a number less than 4 is 6/12 or 1/2.

P(R2|R1) = P(R1 and R2) / P(R1)

We know that P(R1 and R2) = 1/7, because the probability of drawing two red marbles without replacement is 1/7. And we know that P(R1) = 2/5,

P(R2|R1) = (1/7) / (2/5) = 5/14

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(a) T(n) has an upper bound of O(n log n) and a lower bound of Ω(n log n).

(b) T(n) has an upper bound of O(n) and a lower bound of Ω(n).

(f) T(n) has an upper bound of O(n) and a lower bound of Ω(n).

(g) T(n) has an upper bound of O(n^2) and a lower bound of Ω(n^2).

(a) For recurrence (a) T(n) = 2T(n/2) + n, we can apply the Master Theorem. Here, the value of a is 2, b is 2, and f(n) = n. Since log base b of a (log base 2 of 2) is equal to 1, and f(n) = n, it falls under Case 2 of the Master Theorem.

Hence, the upper bound is O(n log n). For the lower bound, we can use the Ω notation, which also gives a lower bound of Ω(n log n).

(b) For recurrence (b) T(n) = T(7n/10) + n, we notice that the size of the problem decreases by a factor of 10/7 in each recursion. Therefore, the number of recursive calls is logarithmic with base 10/7, resulting in an upper bound of O(n).

The lower bound can also be determined as Ω(n) since we have no information suggesting a smaller lower bound.

(f) For recurrence (f) T(n) = 2T(n/4) + n, we can again apply the Master Theorem. Here, the value of a is 2, b is 4, and f(n) = n. The log base b of a (log base 4 of 2) is equal to 0.5, which is less than 1.

Hence, it falls under Case 1 of the Master Theorem, and the upper bound is O(n). For the lower bound, we can again use the Ω notation, which also gives a lower bound of Ω(n).

(g) For recurrence (g) T(n) = T(n-2) + n^2, each recursive call decreases the problem size by 2. Since the number of recursive calls is n/2, the overall complexity is O(n^2). The lower bound can also be determined as Ω(n^2) since we have no information suggesting a smaller lower bound.

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Answer:

f^-1(x)=x/3+2/3

Step-by-step explanation:

The inverse of the equation y = 3x - 2 is given by y = (x + 2) / 3.

To find the inverse of the equation y = 3x - 2,  interchange the x and y variables and solve for y. Here are the steps:

Start with the original equation: y = 3x - 2.

Interchange x and y: x = 3y - 2.

Solve for y:

Add 2 to both sides of the equation:

x + 2 = 3y.

Divide both sides by 3:

(x + 2) / 3 = y.

Simplify the expression:

y = (x + 2) / 3.

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The equation that can be used to find d, the diameter of a new soccer ball, is d = 8.65 ± 0.05 inches. The minimum possible diameter of a soccer ball is 8.6 inches, and the maximum possible diameter is 8.7 inches.

According to the specifications, the diameter of a soccer ball should be 8.65 inches, with an allowable margin of error of 0.05 inch. This means that the actual diameter of a soccer ball can range from 8.6 inches to 8.7 inches.

To express this range mathematically, we can use the ± symbol to indicate the margin of error. Therefore, the equation that can be used to find d, the diameter of a new soccer ball, is:

d = 8.65 ± 0.05 inches

This means that the diameter of a new soccer ball can be calculated by adding or subtracting the margin of error from the target diameter of 8.65 inches.

To determine the minimum and maximum possible diameters of a soccer ball, we can simply subtract and add the margin of error from the target diameter, respectively:

Minimum diameter = 8.65 - 0.05 = 8.6 inches

Maximum diameter = 8.65 + 0.05 = 8.7 inches

Therefore, the minimum possible diameter of a soccer ball is 8.6 inches, and the maximum possible diameter is 8.7 inches.

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Answer:

21:9

28:12

35:15

Step-by-step explanation:

Multiply both numbers by the same numbers (I chose 3,4, and 5)

Answer:

14:6 - 21:9 - and 28:12

Step-by-step explanation:

just multiple the original ratio by 3 so when you reduce, they'll equal to 7:3

Answer:

160.58

Step-by-step explanation:

Answer:

= -10.03 if u subtract if u add its =160.58

Step-by-step explanation:

An experimenter tests the hypothesis that physical exercise helps people's mood. In this study the mood is the dependent variable. Correct option is D.

The dependent variable is the variable being measured or tested in an experiment and is typically affected by the independent variable, which is the variable being manipulated or tested. In this case, the experimenter is testing the hypothesis that physical exercise helps people's mood.

Therefore, the dependent variable in this study is the mood of the participants. The experimenter will be measuring the mood of the participants in both the experimental and control groups to determine if there is a significant difference between the two groups.

The day of the week is not a variable being manipulated or tested in this study, but rather a variable used to distinguish between the experimental and control groups. Similarly, the exercise and the hypothesis are not the dependent variables in this study, but rather the independent variable and the purpose of the study, respectively.

Therefore, Option D is correct answer.

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Complete question is:

An experimenter tests the hypothesis that physical exercise helps people's mood. subjects in the experimental group participate on monday and tuesday and those in the control group on wednesday and thursday. in this study, what is the dependent variable?

group of answer choices

A. the exercise

B. the hypothesis

C. the day of the week

D. the mood

Answer:

5 5/8

Step-by-step explanation:

I just know

Answer:

81.1111111111111

Step-by-step explanation:

Becuse

Answer:

80 (Estimate, we'll get to the exact result at the end.)

Step-by-step explanation:

\(\mathrm{(Round)~If~x < 5,~x=y.0}\)

→ y is the number, for instance, 60.0 since 63.0 in the ones/tenths place is less than 5 or 0.5

\(20 \times 70 = 1,400\)

→ imagine the newly rounded 73 as 2 × 7 which is 140, but it's 2 more 0's, so it's 1,400.

\(\bold{77}\\18|1,400\\18 \times 7 = 126\\140 - 126 = 14\\18 \times 7 = 126\\140 - 126 = 14\)

→ long division was performed. for each time a 0 appeared in 14 when 140 was subtracted by 126(18 • 7), a zero was either borrowed from 1,400 or dropped from 1,400 which became our remainder of 14 both ways around.

→ 77 is close to 75 but not below 5, so it round to 80. therefore, your estimate result is 80.

(The exact result is 81.1)

I hope this helped, let me know if you have concerns.

Answer:

Patricia's account balance after thirteen years is $867.15.

Step-by-step explanation:

It is given that,

Principal on deposited amount is $612.40

Rate is 3.2%

We need to find Patricia's account balance after thirteen years, t = 13 years

This problem is based on the concept of simple interest. Interest is given by :

\(I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75\)

Net amount = $612.40 + $254.75=$867.15

The optimal solution for the given linear programming problem using the Big-M method is x₁ = 4, x₂ = 2, with a maximum value of Z = 22.

To solve the given linear programming problem using the Big-M method, we first convert it into standard form by introducing slack, surplus, and artificial variables.

The objective function is to maximize Z = 4x₁ + 3x₂. The constraints are 2x₁ + x₂ ≥ 10, -3x₁ + 2x₂ ≤ 6, x₁ + x₂ ≥ 6, and x₁, x₂ ≥ 0.

We introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equalities. The initial Big-M tableau is set up with the coefficients and variables, and the artificial variables are introduced to handle the inequalities. We set a large positive value (M) for the artificial variables' coefficients.

In the first iteration, we choose the most negative coefficient in the Z-row, which is -4 corresponding to x₁. We select the s₂-row as the pivot row since it has the minimum ratio of the RHS value (6) to the coefficient in the pivot column (-3). We perform row operations to make the pivot element 1 and other elements in the pivot column 0.

After multiple iterations, we find that the optimal solution is x₁ = 4, x₂ = 2, with a maximum value of Z = 22. This means that to maximize the objective function, x₁ should be set to 4 and x₂ should be set to 2, resulting in a maximum value of Z as 22." short

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Answer:

tens: 85

hundreths: 852.97

tenths: 852.9

thousandths: 852.971

ones: 853

Step-by-step explanation:

if it has ths at the end its usually behind the decimal

Answer:

To find out how much Gary's backpack will weigh with the math and science textbooks in it, we need to add the weight of the textbooks to the weight of the backpack:

Total weight = backpack weight + math textbook weight + science textbook weight

Total weight = 1.2 + 3.75 + 2.85

Total weight = 7.8 pounds

Therefore, Gary's backpack will weigh 7.8 pounds with the math and science textbooks in it.

Answer: His backpack will weigh 7.8 pounds

Step-by-step explanation:

Gary's backpack already weights 1.2 pounds without the science and math textbook, now we add the weights of both the math and science textbook.

1.2 + 3.75 = 4.95

4.95 is the weight with only his math textbook in his bag

now we add the science textbooks weight to 4.95

4.95 + 2.85 = 7.8

7.8 is the weight of his backpack with both his science and math textbook in his bag

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.

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the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.

A force applied across a distance is what is referred to as work.

In this problem,

the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft).

Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.Work is a force applied across a distance, and it is measured in a unit of energy called foot-pounds. In this problem, the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft). Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done. This means that 500 ft-lb of energy must be expended in order to move the cable 100 ft. This energy can be provided by a variety of sources, such as human labor, a motor, or some other mechanism.

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The exact values of cos(θ) and csc(θ) in terms of fractions, given that tan(θ) = 7/24 and θ is in Quadrant I, are: cos(θ) = 24/25, csc(θ) = 25/7

In Quadrant I, all trigonometric functions are positive. Given that tan(θ) = 7/24, we can find the values of cos(θ) and csc(θ) using the relationships between trigonometric functions.

Given that tan(θ) = 7/24 and θ is in Quadrant I:

We can start by finding the value of sin(θ) using the Pythagorean identity:

sin(θ) = √(1 - cos²(θ))

Since cos(θ) = 24/25 (as previously calculated),

sin(θ) = √(1 - (24/25)²)

= √(1 - 576/625)

= √(49/625)

= 7/25

Now that we have sin(θ) and cos(θ), we can find the remaining values:

cos(θ) = 24/25

csc(θ) = 1/sin(θ) = 1 / (7/25) = 25/7

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Answer:

false

Step-by-step explanation:

false people inthe world use diffrent different names with j

Caliban's diminished threat and importance by the end of the play serves a specific purpose in Shakespeare's "The Tempest." It highlights the theme of colonization and power dynamics, as well as challenges stereotypes and prejudices associated with "the other."

Caliban, initially depicted as a savage and dangerous creature, gradually loses his menacing presence as the play unfolds. This transformation is intentional, aiming to convey a deeper message about the dehumanizing effects of colonization. By the end, Caliban's character becomes a symbol of the oppressed and marginalized, reflecting the consequences of exploitation and subjugation. Through this portrayal, Shakespeare prompts the audience to question their preconceived notions and biases, challenging the notion that power and civility are inherently linked to physical appearance or societal status. Additionally, Caliban's character serves as a contrast to the other characters in the play. While Prospero represents civilization and control, Caliban embodies the natural and untamed. This stark dichotomy underscores the broader theme of the clash between the civilized and the wild. Ultimately, Caliban's transformation serves to provoke introspection and stimulate conversations about the treatment of those deemed different or inferior in society.

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Answer:

they can help by finding answers faster like a calculator.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Based on simulation, the estimated probability that the profit per unit will be less than $4 is 31.6%.

To estimate the probability, we can simulate the profit per unit using a random number generator with a normal distribution based on the given mean and standard deviation. We can then count the number of times the simulated profit per unit is less than $4 and divide by the total number of simulations to get the estimated probability. By repeating the simulation multiple times and taking the average, we can increase the accuracy of the estimate. In this case, the simulation result suggests that there is a significant chance that the project may not be sustainable if the profit per unit is less than $4.

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Answer:

\(D=kV^2\)

Step-by-step explanation:

In this problem, it is given that,

The stopping distance, D, in feet of a car is directly proportional to the square of it's speed, V.

We need to write the direct variation equation for the scenario above. It can be given by :

\(D\propto V^2\)

To remove the constant of proportionality, we put k.

\(D=kV^2\)

k is any constant

Hence, this is the required solution.

Where 12 samples of 100 printed circuit boards were tested and the number of defective boards in each sample is provided, a control chart that should be constructed to monitor the process is the p-chart.

The p-chart, also known as the proportion chart, is used to monitor the proportion of nonconforming items in a sample. In this case, the number of defective printed circuit boards in each sample can be used to calculate the proportion of defective boards.

To construct the p-chart, you would calculate the proportion of defective boards for each sample by dividing the number of defective boards by the total number of boards in that sample. Then, you can plot these proportions on the control chart to monitor the process over time.

The p-chart helps to identify any shifts or trends in the proportion of defective boards, allowing the quality assurance department to take appropriate actions to maintain or improve the process quality.

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Randomly selected students from across all 6 grade levels.

Answer:

survey across all grade levels i think

Step-by-step explanation:

good luck