Which of the following values are solutions to the inequality 4 > 2 - 4x?
I. – 4
II. – 1
III.-2
O Non
O I only
O II only
O III only
O I and II
O I and III
O II and III
O I, II and III

Answer: x= √5, x = -√5

Step-by-step explanation:

To simplify x^2 = 5, square root both sides to get:

√(x^2) = √5

Then, to simplify √(x^2), you can cross out the √ and the exponent, and add a +-, as the square root of x^2 is |x|, or +-x.

You then get x = √5, and -x = √5, and for the -x = √5, multiply both sides by -1 to get x = -√5.

The limit lim f(x) as x approaches 2 does not exist, as the function approaches different values from the left and right sides of x=2.

The limit of a function at a particular point is the value that the function approaches as the input approaches that point. To find the limit lim f(x) as x approaches 2, we look at the behavior of the function as x gets closer and closer to 2.

From the graph of the function f, we can see that as x approaches 2 from the left side, the function approaches a value close to 1. However, as x approaches 2 from the right side, the function approaches a value close to 3. Since the function approaches different values from the left and right sides of x=2, the limit does not exist.

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Answer:

angle 2 = 37

Step-by-step explanation:

180-143=37

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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Answer:83999955 because of the gravity

Step-by-step explanation:

Answer:

h(-5) = -117

Step-by-step explanation:

h(x) = -7(x² - 8) + 2                    h(-5)

h(-5) = -7((-5)² - 8) + 2

h(-5) = -7(25 - 8) + 2

h(-5) = -7(17) + 2

h(-5) = -119 + 2

h(-5) = -117

The probability of a student spending time reading given that the student spends time watching TV is  \(P(Reading|Watching\:\:TV)=0.12\)

If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:

\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)

Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.

The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.

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The factor of its radius reduced is 3. The result is obtained by comparing the spherical volumes.

The volume of a spherical can be calculated by

V = 4/3 πr³

Where

A spherical balloon has volume v and radius r. Its volume is reduced by a factor of 27.0.

Find the factor of its radius reduced!

The factor of its volume is

V₁/V₂ = 27

We use the formula for spherical volume to find r₁/r₂.

V₁/V₂ = (4/3 πr₁³)/(4/3 πr₂³)

27 = (r₁/r₂)³

r₁/r₂ = ∛27

r₁/r₂ = 3

Hence, the radius is reduced by a factor of 3.

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Answer:

2nd water freezes at 0 C and 32 F and boils at 100 C and 212 F

Step-by-step explanation:

Answer:

Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.

Step-by-step explanation:

The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??

Answer:

To find the smallest expected loss in the coming month with a probability of 16.0%, we need to calculate the corresponding z-score for the given probability and use it to determine the loss value.

First, we convert the probability to a z-score using the standard normal distribution table or a calculator. A probability of 16.0% corresponds to a z-score of approximately -0.99.

Next, we calculate the expected loss by multiplying the z-score by the standard deviation and adding it to the mean:

Expected loss = z-score * standard deviation + mean

Expected loss = -0.99 * 44% + 12.6%

Expected loss = -0.99 * 0.44 + 0.126

Expected loss = -0.4356 + 0.126

Expected loss ≈ -0.3096

Therefore, the smallest expected loss in the coming month with a probability of 16.0% is approximately -0.3096, or 30.96% (rounded to two decimal places).

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Answer:

it's the last one it always helps me the way my teacher told me the short hand is the hour and the long one is the minutes. if you write the words down and draw a line under them it tells you which hand is which.

Answer:

2,826

Step-by-step explanation:

A tenth is the first place value after the decimal point

In this case, 2,826.00

To round a number to the tenths place, we look at the hundredths place

If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's

If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's

In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.

Thus, our final answer is 2,826.

True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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The statement that is true about the boxplot is option (E) I, III, and IV

I. It is a left skewed distribution which has outliers.

True. The boxplot is skewed to the left, as the median line is closer to the bottom whisker than to the top whisker. Additionally, there are circles (outliers) on the left-hand side of the plot.

II. It is a symmetrical distribution which has outliers.

False. The plot is not symmetrical because the median line is not in the middle of the box.

III. The interquartile range is less than 1.

True. The box covers the range from the first quartile (Q1) to the third quartile (Q3), and the length of the box is less than 1.

IV. Approximately 75% of the observations have a GPA of less than 3.

True. The top of the box represents the 75th percentile, which is approximately 3.

Therefore, the correct option is (E) I, III, and IV

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The given question is incomplete, the complete question is:

Which statement is true about the boxplot below?

I. It is a left skewed distribution which has outliers.

II. It is a symmetrical distribution which has outliers.

III. The interquartile range is less than 1.

IV. Approximately 75% of the observations have a GPA of less than 3.

(A) I only

(B) II only

(C) II and III

(D) III and IV only

(E) I, III, and IV

Answer:

9c2/a4

Step-by-step explanation:

To Clarify 9c is squared and a is held to the fourth power

The area of the field is 10,765.44 square meters.

Given that:

Diameter, d = 72 m

Width, W = 72 m

Length, L = 93 m

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area of the field is calculated as,

A = (π/4)d² + W·L

A = (3.14 / 4) x 72² + 72 x 93

A = 4,069.44 + 6,696

A = 10,765.44 square meters

The area of the field is 10,765.44 square meters.

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Answer: Nicole rented the scooter for 10 days.

Step-by-step explanation:

50 + 25 = 75 (Day 1)

75 + 25 = 100 (Day 2)

100 + 25 = 125 (Day 3)

125 + 25 = 150 (Day 4)

150 + 25 = 175 (Day 5)

175 + 25 = 200 (Day 6)

200 + 25 = 225 (Day 7)

225 + 25 = 250 (Day 8)

250 + 25 = 275 (Day 9)

275 + 25 = 300 (Day 10)

Answer:

What you want to do is solve for m in whichever equation it's easier to so in, then substitute that in to the other equation. For instance:

X=3m-4

Y=6-m

Solve the 2nd equation to get m=6-y

Plug that into the first equation to get x=3(6-y)-4

X=18-3y-4

X-14=-3y

14-x=3y

Y=(14-x)/3

Answer:9

Step-by-step explanation:because when we add 7+7+6+6=26 then we will going to 35-26= 9 im not sure so don’t hate me if it was wrong

The cost of downloading 10 songs for Johnny is $30.

The cost of downloading music for Johnny can be represented by the expression 1.5x + 15, where x is the number of songs downloaded. To find the cost of downloading 10 songs, we can plug in x = 10 into the expression:

1.5 * 10 + 15 = 15 + 15 = 30

So, it will cost Johnny $30 to download 10 songs. This expression represents the total cost as the sum of a $30 $30 ($15 monthly fee) and a variable cost ($1.50 per song fee).

The fixed cost remains constant regardless of the number of songs downloaded, while the variable cost increases as more songs are downloaded.

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The number of ways to choose 0, 1, and 2 homes out of 9, respectively

we need to assume that the sample of nine homes is a random sample from the population of all homes in the United States. Based on this assumption, we can use the binomial distribution to model the number of homes in the sample that have large-screen TVs.

Let p be the probability that a randomly selected home in the United States has a large-screen TV, which is given as 0.9. Let X be the number of homes in the sample of nine that have large-screen TVs. Then X follows a binomial distribution with parameters n = 9 and p = 0.9.

where (9 choose 0), (9 choose 1), and (9 choose 2) are the number of ways to choose 0, 1, and 2 homes out of 9, respectively.

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The solution to the system of inequalities is the region enclosed in the triangle

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

Let x denote the time (in hours) that Shen spends doing cardiovascular work. Let y denote the time (in hours) he spends on weight training.

Each week, he exercises for at least 12 hours, hence:

x + y ≥ 12   (1)

He spends at most 9 hours on weight training. Therefore:

x ≤ 6      (3)

He spends at most 6 hours doing cardiovascular work. Hence:

y ≤ 9    (3)

The solution to the system of inequalities is the darker region shown in the graph.

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Answer:

33.7692307692 or for it to be rounded, 34 or 33.8

Step-by-step explanation:

Answer:

439/13

Step-by-step explanation:

Answer:

Cancellation it enables us to eliminate or get rid of one of the variables, so we can solve a more simplified equation.

Some textbooks refer to the elimination method as the addition method or the method of linear combination.

This is because we are going to combine two equations with addition!

Step 1

First, we align each equation so that like variables are organized into columns.

Step 2

Second, we eliminate a variable.

If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.

If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.

Step 3

Thirdly, we substitute this value back into one of the original equations and solve for the other variable.

Example of how to apply the elimination method for solving systems of equations is attached.

Answer:

1.)  20 yrs --> $1,045.63

    30 yrs --> $1,204.08

2. See the attachment

3. See the attachment

Step-by-step explanation:

Please find the attachment for detail

The predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

To find the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales using the provided dataset, we can follow these steps:

Step 1: Import the "Franchises Dataset" into a statistical software package like Excel or R.

Step 2: Perform regression analysis to find the equation of the line of best fit that relates the net profit (dependent variable) to the counter sales and drive-through sales (independent variables). The equation will be in the form of y = mx + b, where y is the net profit, x is the combination of counter sales and drive-through sales, m is the slope, and b is the y-intercept.

Step 3: Use the regression equation to calculate the predicted net profit for the given counter sales and drive-through sales values. Plug in the values of $900,000 for counter sales (x1) and $800,000 for drive-through sales (x2) into the equation.

For example, let's say the regression equation obtained from the analysis is: y = 0.5x1 + 0.3x2 + 1.

Substituting the values, we get:

Predicted Net Profit = 0.5(900,000) + 0.3(800,000) + 1

= 450,000 + 240,000 + 1

= 690,001 million dollars.

Therefore, the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

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Answer:

d/dx f(x)f(x) = d/dx f(x) + d/dx f(x)

Step-by-step explanation:

An example of the product rule is the following:

d/dx u*v = du/dx u + dv/dx v

Another way of interpreting this is that the product rule states that the derivative of a product is the derivative of the sum of the products with respect to their terms.