write 36 as a product of prime factors write the factors in order from smallest to largest

The water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in

Step-by-step explanation: POV: your a giga chad!

We can subtract the number 5 from 25 five times.

To find out how many times you can subtract the number 5 from 25, you need to perform a division operation. Divide 25 by 5 and you will get the answer.

To see why, consider that the first time you subtract 5 from 25, you get 20. The second time you subtract 5 from 20, you get 15. Continuing this process, you get 10, 5, and finally 0 after the fifth subtraction.

If you try to subtract 5 from 0 again, you would end up with a negative number, which does not make sense in this context. Therefore, you can only subtract the number 5 from 25 five times.

Divide 25 by 5
25 ÷ 5 = 5

So, you can subtract the number 5 from 25 five times.

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Answer:

Carolyn

Step-by-step explanation:

Carolyn:

45% = 0.45

We multiply the orignal price with 0.45 to see how much it increased.

\(20(0.45) = 9\)

We then add it to the original price

\(20+9 =29\)

Emily:

31% = 0.31

We multiply the orignal price with 0.31 to see how much it increased.

\(20(0.31) = 6.2\)

We then add it to the original price

\(20+6.2=26.2\)

That means that Carolyn is correct.

Yes, the spokesman's claim that 70% of all U.S. adults drink cereal milk is true.

This can be tested using a hypothesis test, where the null hypothesis is that the proportion of people who drink cereal milk is equal to 70%, and the alternative hypothesis is that the proportion of people who drink cereal milk is not equal to 70%.

We then calculate the test statistic, which is the z-score of the sample proportion, ^. If the z-score is greater than the critical value (1.96 for a 95% confidence level), then we reject the null hypothesis and conclude that the proportion of people who drink cereal milk is not equal to 70%.

In this case, since the sample proportion is close to 70%, the z-score is very small, and the null hypothesis is accepted. Therefore, the spokesman's claim is true.

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a) The order of o is 6.  

b) o-² = (1 2 3)(4 7 6)(5)

c) The size of the conjugacy class of o is 280.    

Lets calculate the given options:

a) We can rewrite the permutation 0 in cycle notation as follows: (1 2)(3 4)(5)(6 8 7). The permutation o is a product of 4 disjoint cycles and is therefore an even permutation. The order of o is the least common multiple of the lengths of its disjoint cycles.

That is;Order(o) = lcm(2,2,1,3) = 6v

Therefore, the order of o is 6.

b) The square of o is found by computing oo:(1 3 2)(4 8 6 7)(5)

Note that 0-¹ can be obtained by reversing the order of the cycles and the order of the numbers within the cycles in o.

Hence;o-¹ = (1 2)(4 3)(5)(6 7 8).

Therefore; o-² = oo-¹ = (1 3 2)(4 8 6 7)(5)(1 2)(4 3)(5)(6 7 8)

Simplifying, we obtain; o-² = (1 2 3)(4 7 6)(5)  

c) The size of the conjugacy class of o is the number of even permutations in S8 with cycle structure identical to that of o.

If λi is the length of the i-th cycle in o, then the number of permutations in S8 with cycle structure λ1, λ2, …, λk is given by(8! / λ1 λ2 … λk)(n1!/ 1! 2! … λ1)(n2! / 1! 2! … λ2) … (nk!/ 1! 2! … λk)

where ni is the number of i-cycles in S8, which is given by 8! / (i * λi)

Note that for o, λ1 = λ2 = 2, λ3 = 1 and λ4 = 3.

Hence, the number of even permutations with the same cycle structure as o is given by(8! / (2² * 1 * 3)) (4! / 2²) (4! / 2²) (3! / 1) (8! / (3 * 3! * 2²))= 560

We divide by 2 to account for the fact that exactly half of these permutations are even.

Hence, the size of the conjugacy class of o is given by 560/2 = 280.

Therefore, the size of the conjugacy class of o is 280.

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The correct answer from the drop-down menu is 3.5.

The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.

Therefore the population mean is the sum of the 12 data set values divided by 12

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean

= 186/12

= 15.5.

The sample mean is given by the sum of the 4 sample values divided by 4

11 + 31 + 22 + 12

Sum = 76.

Therefore the sample mean

= 76/4

= 19.

The sample mean is more than the population mean by

= 19 - 15.5

= 3.5.

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Answer:

15 items Emma packed in the bag .

#Hope it helps!!

Answer: 50 items

Step-by-step explanation: 2x5=10+3x5=15+3x5=15+2x5=10

10+15+15+10=50

Answer:

Step-by-step explanation:

You need to give all the fractions a common denominator so you can compare the numerators.

The least common multiple of 5, 8, 16, 4, 3 is 240.

⅖ = 96/240

⅞ = 210/240

15/16 = 225/240

¾ = 180/240

⅜ = 90/240

⅓ = 80/240

The only numerator between 96 and 210 is 180.

180/240 = ¾

⅖ < ¾ < ⅞

The correct confidence interval for the population mean of people in the world who own their homes is CI ≈ (45.3%, 51.3%).

To construct a confidence interval for the population mean of people in the world who own their homes, we can use the sample data and calculate the margin of error. The confidence interval will provide an estimated range within which the true population mean is likely to fall.

Given the sample size of 760 people and 367 individuals who own their homes, we can calculate the sample proportion of individuals who own their homes as follows:

Sample proportion (p-hat) = Number of individuals who own their homes / Sample size

p-hat = 367 / 760 ≈ 0.483

To construct the confidence interval, we can use the formula:

CI = p-hat ± Z * sqrt((p-hat * (1 - p-hat)) / n)

Where:

CI = Confidence Interval

p-hat = Sample proportion

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

n = Sample size

Plugging in the values, we get:

CI ≈ 0.483 ± 1.96 * sqrt((0.483 * (1 - 0.483)) / 760)

Calculating the expression inside the square root:

sqrt((0.483 * (1 - 0.483)) / 760) ≈ 0.0153

Substituting back into the confidence interval formula:

CI ≈ 0.483 ± 1.96 * 0.0153

CI ≈ (0.483 - 0.0300, 0.483 + 0.0300)

CI ≈ (0.453, 0.513)

Therefore, the correct confidence interval for the population mean of people in the world who own their homes is CI ≈ (45.3%, 51.3%). None of the provided answer choices match the correct confidence interval.

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Answer:

B

Step-by-step explanation:

∠ 2 and 37° are vertically opposite angles and are congruent, then

∠ 2 = 37°

∠ 1 and 37° are a linear pair and sum to 180° , that is

∠ 1 + 37° = 180° ( subtract 37° from both sides )

∠ 1 = 143°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 143°

By the intermediate value theorem, there must exist at least one real solution to the equation \(e^x\) = 4/x in the interval (1, 2).

To show that the equation \(e^x\) = 4/x has at least one real solution, we can use the intermediate value theorem. The intermediate value theorem states that if a function is continuous on a closed interval [a, b] and takes on two different values, f(a) and f(b), then it must also take on every value between f(a) and f(b).

Let's define a function f(x) = \(e^x\) - 4/x. To apply the intermediate value theorem, we need to find two values, a and b, such that f(a) and f(b) have opposite signs.

Let's consider two values:

a = 1: f(a) = \(e^1\) - 4/1 = e - 4

b = 2: f(b) = \(e^2\) - 4/2 = \(e^2\) - 2

Now, let's evaluate f(a) and f(b):

f(1) = e - 4 ≈ -0.28 (negative value)

f(2) = \(e^2\) - 2 ≈ 4.39 (positive value)

Since f(1) is negative and f(2) is positive, we can conclude that f(x) changes sign between x = 1 and x = 2. Therefore, by the intermediate value theorem, there must exist at least one real solution to the equation \(e^x\) = 4/x in the interval (1, 2).

Thus, we have shown that the equation \(e^x\) = 4/x has at least one real solution.

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\(7p - 4p - p \\ \\ 7p - 5p \\ \\ 2p.\)

Solution is : 2p .

Answer:

x^2-15x+56

Step-by-step explanation:

(

−

7

)

(

−

8

)

(

−

8

)

−

7

(

−

8

)

A population modeling example that can be solved by a first-order equation is the spread of a contagious disease.

A population modeling problem that can be solved by a first-order equation is the spread of a contagious disease. The equation dP/dt = kP(1 - P/M) represents the rate of change of a population (P) with respect to time (t), where k is a constant, and M is the maximum population capacity.

This equation accounts for the fact that as the population grows closer to the carrying capacity, the growth rate slows down. By solving this first-order differential equation, we can determine the population size at any given time and analyze the dynamics of the disease's spread, including the initial growth rate and eventual stabilization as the population reaches its maximum capacity.

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The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

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By convention, we use a bar graph when the groups on the x-axis (horizontal axis) are represented on a categorical or discrete scale; we use a line graph when the groups on the x-axis are represented on a continuous or numerical scale.

A bar graph is commonly used to display categorical or discrete data, where the groups or categories on the x-axis are distinct and separate from each other.

For example, the x-axis could represent different types of fruits or months of the year. Each category is represented by a separate bar, and the height of each bar corresponds to the frequency, count, or value associated with that category.

On the other hand, a line graph is typically used to represent data on a continuous or numerical scale. The x-axis represents a continuous range of values, such as time, temperature, or distance.

Each data point is plotted as a dot or marker on the graph, and the points are connected by lines. This type of graph is useful for showing trends, patterns, or changes over time or across a continuous range.

The choice of using a bar graph or a line graph depends on the nature of the data and the purpose of the visualization. Categorical data is best represented using a bar graph to emphasize the distinct categories, while numerical or continuous data is better suited for a line graph to visualize trends and relationships.

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The given problem requires us to find the volume of the solid generated by rotating a region bounded by the given curves around the x-axis.  The region is bounded by the given curves\(, y = -x² + 12x - 32 and y = 0.\)The shaded region is bounded by the curves \(`y = -x² + 12x - 32` and `y = 0`\).

The graph of the shaded region is shown below: The limits of integration of the area A (region) are from x = 4 to x = 8 since these are the values where the curve \(`y = -x² + 12x - 32`\)crosses the x-axis.

We'll use the method of disks to compute the volume of the solid generated by rotating the region about the x-axis.Let's consider a disk of radius `r` and thickness `dx` as shown below:

This disk has a volume given by\(`dV = πr²dx`.\)By considering a vertical slice of the shaded region of thickness `dx`, we obtain the radius `r` of the disk as `r = y` and the thickness `dx` as `dx`.

Thus, the volume of the solid generated by rotating the region about the x-axis is given by:\(V = `∫_4^8πy^2 dx`\)Since \(`y = -x² + 12x - 32`\), we have:\(V = `∫_4^8π(-x² + 12x - 32)² dx`\)On simplifying, we get:\(V = `(64/5)π(10√10 - 57)`\)Therefore, the volume of the solid generated by rotating the region about the x-axis is \(`(64/5)π(10√10 - 57)`\).

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Answer:

It’s nonlinear because you can’t put x by itself

Step-by-step explanation:

Answer:

nonlinear

Step-by-step explanation:

The graph is a curve, not a straight line. So it represents a nonlinear function.

Since probabilities cannot be negative, we can conclude that the given probabilities are inconsistent or there might be an error in the information provided. Please verify the values and provide correct probabilities so that we can accurately calculate P(B|A), the probability of the flight being delayed when it is raining.

Let's denote the events as follows:

A: It will rain

B: The flight will be delayed

We are given the following probabilities:

P(A) = 0.11 (probability of rain)

P(B) = 0.14 (probability of flight delay)

P(A'∩B') = 0.76 (probability of no rain and on-time departure)

We can use the probability formula to calculate the probability of the flight being delayed when it is raining, P(B|A), which is the probability of B given A.

We know that:

P(B|A) = P(A∩B) / P(A)

To find P(A∩B), we can use the formula:

P(A∩B) = P(A) - P(A'∩B')

Substituting the given values:

P(A∩B) = P(A) - P(A'∩B')

P(A∩B) = 0.11 - 0.76

P(A∩B) = -0.65

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The journal entry for the July 31 sales and November 11 cash payment is shown below .

In the question ,

it is given that ,

the amount for which Qantas Industries sold electronics during July under a nine-month warranty is = $325000  ,

cost to repair defects is = 4.5 percent of sales price .

So , the cost to repair is = 4.5% × 325000 = $14625 .

So , the journal entry for July 31 is

Warranty expense    Debit   14625

Estimated warranty liability/warranty payable    Credit   14625

and the journal entry for November 11 is :

Estimated warranty liability /warranty payable    Debit    220 ,

                                                                Cash       Credit   220  .

Therefore , the Journal entry is shown above .

The given question is incomplete , the complete question is

Qantas Industries sold $325,000 of consumer electronics during July under a nine-month warranty. The cost to repair defects under the warranty is estimated at 4.5% of the sales price. On November 11, a customer was given $220 cash under terms of the warranty. Provide the journal entry for the estimated warranty expense on July 31 for July sales. Provide the journal entry for the November 11 cash payment .

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A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000

Answer:

y = 2.2x - 11

Step-by-step explanation:

Slope: 2.2

y-intercept: 0 - (2.2)(5) = - 11

The heights of the two legs (a and b) of a right triangle are equal. Ha = b and hb = an as a result. The height of the hypotenuse is hc. The intersection of a triangle's three altitudes occurs at the orthocenter H, which for a right triangle is located on the vertex C of the right angle.

A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry.

The extended base of the altitude is the name given to this line that contains the opposing side.

The foot of the altitude is the point at which the extended base and the height converge.

Each leg (a and b) of a right triangle has the same altitude as its opposite leg.

As a result, ha = b and hb = a.

The hypotenuse rises to an altitude of hc.

The orthocenter H, which for a right triangle lies on the vertex C of the right angle, is where the three altitudes of a triangle intersect.

Therefore, the heights of the two legs (a and b) of a right triangle are equal. Ha = b and hb = an as a result. The height of the hypotenuse is hc. The intersection of a triangle's three altitudes occurs at the orthocenter H, which for a right triangle is located on the vertex C of the right angle.

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Answer:

B. 7 1/2

Step-by-step explanation:

8x=12

x = 1.5

2y+10=22

2y = 12

y = 6

1.5 + 6 = 7.5

So, the sum of the solutions of the two equations is

B. 7 1/2

Answer:

Step-by-step explanation:

firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7  1/2

The slope-intercept form of the equation is y = - mx + b.

The equation of a line can be expressed in a variety of ways. Although they may differ in appearance, all of them describe the same line because multiple equations can describe the same line. However, all linear equations describing the same line are equivalent.

The formula y = mx + b can be used to represent any straight line. Any straight line equation, known as a linear equation, can be expressed as y = mx + b, where m denotes the line's slope and b its y-intercept. The value of y at the line's intersection with the y-axis is its y-intercept.

Given a graph of the equation, choose two points on the line and use them to calculate the slope in order to put the equation in slope-intercept form. This is the answer to the equation's question. Next, determine the y-coordinates, intercept's which should be of the type (0,b). The value in the equation is the y-coordinate.

Thus, the equation derived from the graph is as follows:

Since we are aware that the slope here is negative,

Therefore Our formula is y = -mx + b.

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The equation of the new graph after compressing horizontally by a factor of 2 and shifting 8 units to the right is f(2x - 16) = -4x² + 66x - 272.

Given the function f(x) = x - x², to compress it horizontally by a factor of 2, we need to replace x with 2x. Additionally, to shift it 8 units to the right, we need to replace x with (x - 8).

Compress horizontally by a factor of 2:

f(2x) = 2x - (2x)²

Shift 8 units to the right:

f(2(x - 8)) = 2(x - 8) - [2(x - 8)]²

Simplifying this expression:

f(2x - 16) = 2x - 16 - (2x - 16)²

Expanding and simplifying the squared term:

f(2x - 16) = 2x - 16 - (4x² - 64x + 256)

Combining like terms:

f(2x - 16) = -4x² + 66x - 272

Therefore, the equation of the new graph after compressing horizontally by a factor of 2 and shifting 8 units to the right is f(2x - 16) = -4x² + 66x - 272.

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