Select the graph that would represent the best presentation of the solution set.
|y+2| > 6

Answer:

2.88

Step-by-step explanation:

1.75

+ 1.13

_____

2.88

hope it helps.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = (P × R × T)/100

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The principal at the end of 3 years is,

Principal after 3 years = P + (P × R × T)

= $200 + ($200 × 0.08 × 3)

= $200 + $48

= $248

Hence, the principal at the end of 3 years is $248.

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If the region s in the uv plane corresponds to r , then the line through the points  (0, 0) and (6, 1) is  y = x/6   .

In the question ,

it is given that ,

we have to find the equation of the line that passes through the points  (0, 0) and (6, 1) .

we know that the equation of the line in slope intercept form is written as

y = mx \(+\) c , where m is slope of line .

and m(slope) between the points (a,b) and (c,d) can be found using the formula ,

slope = (d - b)/(c -a)

Substituting the values in the formula ,

we get ,

slope = (1-0)/(6-0)

= 1/6

The equation of the line passing through the points (0,0) with slope as 1/6 is

0 = (1/6)(0) + c

c = 0 ,

we get , y = (1/6)x + 0

y = x/6

Therefore , the required line is y = x/6  .

The given question is incomplete , the complete question is

The region s in the uv plane which corresponds to r , what is the line through the points  (0, 0) and (6, 1) ?

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The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

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Answer:

they add on and then stop i beleave

Step-by-step explanation:

The measure of the acute angles in the triangle are 7.5 and 82.5

From the question, we have the following parameters:

One acute angle is 11 times the measure of the other acute angle.

Let the acute angles be x and y

Such that

y = 11x

The sum of the acute angles in a right triangle is 90

So, we have

x + y = 90

This gives

x + 11x = 90

So, we have

12x = 90

Divide by 12

x = 7.5

Recall that y = 11x

So, we have

y = 11 x 7.5

Evaluate

y = 82.5

Hence, the acute angles are 7.5 and 82.5

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a) Shannon can cover 170 ft² of the living room floor with the circular rugs.

b) 18 ft² of the living room floor will be left uncovered by the circular rugs.

a)

The area of the living room:

Area = length × width

Area = 12 ft × 18 ft

Area = 216 ft²

The area of each circular rug:

Radius = diameter / 2

Radius = 6 ft / 2

Radius = 3 ft

Area of each circular rug = π × radius²

= 3.14×(3 ft)²

= 28.26 ft²

To find the number of circular rugs needed to cover the living room floor, we divide the area of the living room by the area of each circular rug:

Number of circular rugs = Area of living room / Area of each circular rug

= 216 ft² / 28.26 ft²

= 7.64

So Shannon can cover the floor with a maximum of 7 circular rugs.

The total floor space covered by the circular rugs = Number of circular rugs × Area of each circular rug

= 7 × 28.26 ft²

= 170 ft²

b)

To find the amount of living room floor space that will be left uncovered by the circular rugs.

we subtract the total floor space covered by the circular rugs from the area of the living room.

Area left uncovered = Area of living room - Total floor space covered

Area left uncovered = 216 ft² - 197.82 ft²

Area left uncovered = 18.18 ft²

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the possible values of a and b that make the equation 12x + 24 = ax + b have no solution are:

a = 0 and b ≠ 24

a ≠ 0 and b = 24.

What is the Slope?

The slope of a line is a numerical value that represents the steepness of the line and the direction of the line's incline or decline. The slope of a line can be calculated as the change in the y-coordinate (rise) divided by the change in the x-coordinate (run). In mathematical terms, the slope of a line is given by the formula:

m = (y2 - y1) / (x2 - x1)

Where m is the slope, (x1, y1) and (x2, y2) are two points on the line.

As for the equation 12x + 24 = ax + b, the equation represents a straight line in the coordinate plane. There is no solution to this equation if the line is parallel to the x-axis, meaning the slope is undefined.

Hence, for the equation to have no solution, either a = 0 or b ≠ 24.

Hence, all the possible values of a and b that make the equation 12x + 24 = ax + b have no solution are:

a = 0 and b ≠ 24

a ≠ 0 and b = 24.

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SOLUTION

The given numbers are 12 and 30

Express the numbers as a product of their prime factors

It follows

and

From the prime factors

The common factors are

Therefore, the greatest common factor is 6

There are 7 possibilities for Erica's swim schedule if she goes swimming three out of the seven days of the week, considering that she can swim on Monday or Tuesday, or both.

To determine the number of possibilities for Erica's swim schedule, we need to consider the days she can choose for swimming. In this case, she can swim on Monday, Tuesday, or both.

If she swims on Monday, she has two options for the remaining two days: she can swim on any of the remaining six days or choose not to swim on those days. Similarly, if she swims on Tuesday, she has the same two options for the remaining two days.

If she swims on both Monday and Tuesday, she has only one option left for the remaining day.

Therefore, the total number of possibilities for Erica's swim schedule is calculated by adding the possibilities for each scenario: 2 + 2 + 1 = 5 possibilities.

In conclusion, there are 7 possibilities for Erica's swim schedule if she goes swimming three out of the seven days of the week, considering that she can swim on Monday or Tuesday, or both.

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a) The technology coordinator will not meet this goal because only 370 laptops would have been bought at the end of 10 years

b) Pro: Many students will have laptops in the school

Con: The laptops may not last since no funds are available for maintenance

If I could change the plan, I would change it by ensuring that certain amount from the budget is allocated for the maintenance of these laptops to ensure longevity.

The number of laptops that are bought the first year = 90

The number of laptops bought in each of the subsequent years = 40

In 10 years, the number of laptops that would have been bought = 90 + 40(9)

In 10 years, the number of laptops that would have been bought = 90 + 280

In 10 years, the number of laptops that would have been bought = 370

The number of students in the school = 500

Number of students that will not own a laptop at the end of the tenth year = 500 - 370 = 130

Therefore, the technology coordinator will not meet the goal of each student in the school having a laptop at the end of 10 years

b) The pro of buying student laptop in this manner is that at the end of the target year, a good number of the students will own a laptop each and will increase the computer literacy level of the students

The con of buying laptop in this manner is that there won't be money available for maintenance and repair of the laptops. Hence, the laptops may not last

If I could change the plan, I would ensure that certain amount from the budget is allocated for the maintenance of these laptops to ensure longevity.

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The plane traveled approximately 7683.4 feet.

We can solve this problem using trigonometry. Let's denote the horizontal distance traveled by the plane as "d". From the given information, we can set up two right triangles. In the first triangle, the altitude is 5000 ft, and the angle of depression is 28º. In the second triangle, the altitude is 3200 ft, and the angle of depression is 47º.

Using trigonometric ratios, we can set up the following equations:

tan(28º) = 5000 / d

tan(47º) = 3200 / d

We can solve these equations simultaneously to find the value of "d", which represents the horizontal distance traveled by the plane. Solving the equations gives d ≈ 7683.4 feet. Therefore, the plane traveled approximately 7683.4 feet.

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The probability of getting a multiple of 4 or a multiple of 7 is 0.267

There are three multiples of 4 (4, 8, 12) and two multiples of 7 (7, 14) on the spinner.

However, 8 is a common multiple of 4 and 7, so it is counted twice. Thus, there are 4 outcomes that are either a multiple of 4 or a multiple of 7: 4, 7, 8, and 12.

The total number of possible outcomes is 15, since there are 15 sectors on the spinner.

Therefore, the probability of getting a multiple of 4 or a multiple of 7 is:

P(multiple of 4 or multiple of 7) = number of favorable outcomes / total number of possible outcomes

= 4 / 15

≈ 0.267

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Answer:

the answer is 1/3

Answer:

100

Step-by-step explanation:

perfect square  (a - b)^2 = a^2 - 2ab + b^2

In this case

20x = 2 * x * 10

and

10^2 = 100

so

(x - 10)^2 = x^2 - 20x + 100

Therefore, the missing constant term is 100

.

Answer:

hiii

the answer is option B

The answer is The median for group 1 and group 2 is the same.

The median is the middle number in a set of values when those values are arranged from smallest to largest.

The medians are very close together. Because in group 1, the median was 4.5 while in group 2 the median was 5, so I would say that is pretty close.

"The range for group 2 is greater than the range of groups 1" is not correct because in group 1 there is an x on 1 and an x on 10 while in group 2, there is a 2 x's on 2 and 2 x's on 8.

"The mode is the same for both sets of data" is not correct because in group 1 there was 3 x's on 3,4,and 7 while in group 2 there was 3 x's on 3 and 4 x's on 6.

"On average, the people in group 1 and in group 2 have about 5 electronic devices in their household" is not correct either because in group 1 there were 2 x's on 5 while in group 2 there was 1 x on 5, so this wouldn't be correct.

Hence, The option D is the correct option.

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Answer:

x=5

Step-by-step explanation:

     May I have brainiest I'm trying to level up!

                 </3 PureBeauty

Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Theorem 4.4.2 states that the only divisors of the integer 1 are 1 and -1. In other words, no other integer except 1 and -1 can divide 1.

To prove this theorem, we can use the definition of divisibility, which states that if a and b are integers, then a divides b if and only if there exists an integer k such that b = ak. Since 1 is the smallest positive integer, it has only two divisors, namely 1 and -1.

If a is a positive integer that divides 1, then a must be equal to 1, since it is the only positive integer that is smaller than or equal to 1. If a is a negative integer that divides 1, then a must be equal to -1, since it is the only negative integer that is greater than or equal to -1.

Thus, we have shown that the only divisors of 1 are 1 and -1, which proves Theorem 4.4.2. This theorem is a simple but important result in number theory, as it establishes a fundamental property of the number 1 and its divisors.

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Answer:

5

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

population=15000(.92)ⁿ

where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

.66667=.92ⁿ

a rule we have is

\(n=y^x\\log_yn=x\)

which means that

\(.66667=.92^n\\=log_{.92}.66667\)

compute this and get

4.867

round this up to 5

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts?  Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Answer:

3 miles per hour

Answer:

$16

Step-by-step explanation:

Answer:

Length is approximately 7.073 m

Step-by-step explanation:

One of the formulas we can use for surface area of a triangular prism is:

SA = bh + L(s1 + s2 + s3), where

So far, we know that the surface area is 297 and the height is 8.7.

Step 1:  We see that the line indicating the height splits the larger triangle into two right triangles, Thus, we can find the base of one of the right triangles using the Pythagorean theorem and multiply this by 2 to find the measure of the entire base.

The Pythagorean theorem is:

a^2 + b^2 = c^2, where

We have the measure of one leg (8.7 m) and the hypotenuse (10 m) and we must solve for leg:

a^2 + 8.7^2 = 10^2

a^2 + 75.69 = 100

a^2 = 24.31

a = √24.31 m

Multiplying this by 2 gives us that the measure of the entire base is 2√24.31 m.

Step 2:  Now we can plug in 297 for sa, 2√24.31 for b, 8.7 for h, and 10, 10, and 2√24.31 for s1, s2, and s3 respectively.  This will allow us to solve for L, the length of the triangular prism:

\(297 = (2\sqrt{24.31})(8.7)+L(10+10+2\sqrt{24.31})\\ 297=(17.4\sqrt{24.31})+L(20+2\sqrt{24.31} \\297-(17.4\sqrt{24.31})=L(20+2\sqrt{24.31})\\ (297-(17.4\sqrt{24.31}))/(20+2\sqrt{24.31})=L\\ 7.073063761=L\\ 7.073=L\)

Thus, the length of the missing side is approximately 7.073 m

Optional Step 3:  We can check that we've found the correct length of the missing side by plugging in 7.073 for L in the surface area formula and checking that we get 297 (or at least something very close to it):

297 = (2√24.31)(8.7) + 7.073(10 + 10 + 2√24.31)

297 = (17.4√24.31) + 7.073(20 + 2√24.31)

297 = (17.4√24.31) + 141.46 + 14.146√24.31

297 > 296.998096

You get approximately the same answer since we rounded the length to the nearest thousandth.  If you were to plug in a more exact answer like ((297 - (17.4√24.31)) / (20 + 2√24.31) for L, you'd get exactly 297 as I plugged this in for L on my TI-84 and got 297 exactly.

The two-period moving average model and the two-period weighted moving average model are both common forecasting methods used to predict future demand. and we understand that the model with the lower MAD and MSE values will have the most accurate forecast.

To determine which model is better for this particular data set, we need to compare the accuracy of each model. To do this, we will calculate the Mean Absolute Deviation (MAD) and the Mean Squared Error (MSE) for each model.
For the two-period moving average model, we can calculate the forecast for period 7 by taking the average of p5 and 6:

Period 7 forecast = (Gallons in Period 5 + Gallons in Period 6)/2

For the two-period weighted moving average model, we can calculate the forecast for period 7 by using the weights of 0.6 and 0.4:

Period 7 forecast = (0.6 x Gallons in Period 5) + (0.4 x Gallons in Period 6)

We can then compare the accuracy of each model by calculating the MAD and MSE. To calculate MAD, we need to subtract the actual demand in each period from the forecasted demand and take the absolute value:

MAD = |Actual demand – Forecasted demand|

To calculate MSE, we need to square the differences between the actual demand and the forecasted demand:

MSE = (Actual demand – Forecasted demand)^2

After calculating the MAD and MSE for each model, we can compare the results to determine which model is better for this data set. The model with the lower MAD and MSE values will have the most accurate forecast.

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Answer:

Step-by-step explanation:

85

Step-by-step explanation:

the correct answer is option a 6a-7

The probability that a randomly selected cup will be overfilled is approximately 0.2514 or 25.14%.

It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. A probability of 0.5 (or 50%) means that the event is equally likely to occur or not to occur.

We need to find the probability that the amount of Dr. Pepper dispensed will be greater than 32.0 oz, which can be written as:

P(X > 32.0)

where X is the amount of Dr. Pepper dispensed by the machine.

We can standardize this value by subtracting the mean and dividing by the standard deviation:

P(Z > (32.0 - 31.0) / 1.50)

Simplifying this expression gives:

P(Z > 0.67)

Using a standard normal table or calculator, we can find that the probability of a standard normal random variable being greater than 0.67 is approximately 0.2514.

Therefore, the probability that a randomly selected cup will be overfilled is approximately 0.2514 or 25.14%.

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Answer:

Given, the annual profit equation is f(n) = 65n - 0.04n².

When the number of pizzas sold, n = 300, the annual profit will be:

f(300) = 65(300) - 0.04(300)²

= 19500 - 0.04(90000)

= 19500 - 3600

= $15,900

Therefore, the annual profit if the pizza maker sells 300 pizzas is $15,900. Answer: D.

Step-by-step explanation:

Answer:

(3x−27)o

Step-by-step explanation:

we know that

m\angle BEC=m\angle AEDm∠BEC=m∠AED ----> by vertical angles

we have

m\angle BEC=(2x+3)^om∠BEC=(2x+3)o

The value of x is given

x=30

so

m\angle BEC=(2(30)+3)=63^om∠BEC=(2(30)+3)=63o

That means that the measure of angle AED is also 63 degrees

so

The expression that could represent the measure of Angle A E D is

(3x-27)^o(3x−27)o

because

For x=30

(3(30)-27)=63^o(3(30)−27)=63o

Answer:

(3x−27)o

Step-by-step explanation:

The expression that models the cost of a job lasting h hours, when h is greater than 1, is: 75 + 30(h - 1).

This expression accounts for the $75 flat fee for jobs lasting up to an hour and adds $30 for each additional hour of labor (h - 1).

To explain the expression 75 + 30(h - 1) as the cost of a job lasting h hours, we can break it down:

The flat fee of $75 is charged for jobs lasting up to an hour. This is represented by the constant term 75 in the expression.

For each additional hour of labor beyond the first hour (h - 1), the plumber charges $30. This is represented by the term 30(h - 1) in the expression, where h - 1 is the number of additional hours.

By adding the flat fee and the additional labor charges, we obtain the total cost of the job lasting h hours.

So, the expression 75 + 30(h - 1) combines the flat fee and the additional labor charges to calculate the cost of a job lasting h hours, with h being greater than 1.

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