options : (Btw 2 means squared )
6m2
15m2
8m2
10m2

Inequalities refer to the mathematical expressions in which both sides are not equal.

In Mathematics, equations are not always being same on both sides with an 'equal to' symbol. Sometimes it can be about 'not an equal to'(! =) relationship like something is greater or less than the other.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between any two numbers or other mathematical expressions. These mathematical queries or expressions come under algebra and are called inequalities.

these are the basic inequality operations.

1. x ≠ q means that x is not equal to q

2. x < q means that x is less than q

3. x > q means that x is greater than q

4. x ≤ q means that x is less than or equal to q

5. x ≥ q means that x is greater than or equal to q

Here are some different types of inequality.

1. Polynomial inequalities

2. Absolute value inequalities

3. Rational inequalities

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Answer:

6x^3 - 4x^2

Step-by-step explanation:

f(x) = 2x^2 and g(x) = 3x – 2

(f*g) (x) =  2x^2 * (3x-2)

           = 6x^3 - 4x^2

Answer:

6x^3 - 4x^2

Step-by-step explanation:

(f*g)(x)

(2x^2)(3x-2)(x)

(6x^3 - 4x^2)(x)

The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

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The random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.

It should be noted that random numbers simply means the numbers that can be chosen from a pool of unlimited numbers.

In this case, the random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.

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Answer:3.8

Step-by-step explanation:

The amount of direct materials cost in the unfinished job would be $97600.

The price of direct materials is directly related to the unit of production and is immediately identifiable. For instance, the price of glass is a direct material expense in the production of light bulbs. The primary component needed for the production of commodities or products was material. Costs of raw materials or components used directly in the production of goods are referred to as direct material costs. For instance, if Company A manufactures toys, the cost of the plastic used to build the toys would be an example of a direct material cost.

Given Data

Work in Process inventory account was credited for $120,500.

charged with $9,600 of applied overhead cost.

Direct material cost = Work in progress - Overhead cost - Direct labor

Direct labor = 9600 ×\(\frac{100}{75}\)

Direct labor = 12800

Direct material cost =  120000 - 9600-12800

Direct material cost = 97600

The amount of direct materials cost in the unfinished job would be $97600.

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Answer: $0.5

Step-by-step explanation:

b=bags of skittle

6b=3

b=3/6

b=$0.5

Answer:

1. This question seems to already have the answer. The radius of the circle is the distance from the center of the circle to any point on the circle.

2. $65.91

3. 36.04cm

Step-by-step explanation:

2. First, you neeed to solve for the circumference of the circle to determine how much fencing you will need. To do this, use the formula C=2πr and insert the given radius of 3.8 into the equation.

C = 2 * pi * 3.8

C = 23.88

Then, to find the total cost, multiply the circumference by the price per meter of fencing.

23.88 * 2.76 = 65.91

3. First, you have to find the total area of the circle so you can work backwards to find the diameter. To do this, since there are 12 slices, multiply the area of each slice by 12.

85 * 12 = 1020

So 1020 is the area of the circle. The formula to find the area of a circle is A = πr^2. So we need to use that equation to find the radius, so we can double it to get the diameter.

We know the area is 1020 so we set that to A.

1020 = pi(r^2)

Divide both sides by pi.

1020/pi = r^2

Then square root both sides.

sqrt(1020/pi) = r

r = 18.02

Then, since diameter is r*2, you can just multiply 18.02 * 2 to get the diameter.

d = 18.02 * 2

d = 36.04

Hope this helps.

Answer:

520.83 k g  of seed

Step-by-step explanation:

Answer:

A #2.5#-#kg# bag of grass seed covers an area of #1200# #m^2#. How much seed is needed to cover a square park with side length #500# #m#?

Step-by-step explanation:

Answer: The mean is equal to the median.

Step-by-step explanation:

Median is the middle value of a given data set. In asymmetric distribution, the data on the left side of the median is equal to the data on the right side of the median. Therefore, the mean of that data is equal to the median of the symmetric distribution.

Answer:

72 inches

Explanation: because if you divide 72 by 12 you would have 6 and that would be 6 feet

Answer:c, the answer is c

Step-by-step explanation:

The completed table of the functions and inverses can be presented as follows;

1. t(x) → a(x)

2. Q(x) → B(x)

3. G(x) → c(x)

4. f(x) → D(x)

5. y(x) → w(x)

6. e(x) → R(x)

7. U(x) → H(x)

8. P(x) → J(x)

9. m(x) → k(x)

10. S(x) → n(x)

Making x the subject of the given functions to find the inverse gives;

1. a(x) = 2•(x - 6)

Therefore;

x = (a(x)/2) + 6

t(x) = (x/2) + 6

Therefore;

2. G(x) = (1/4)•x²

4•G(x) = x²

x = 2•√(G(x))

3. B(x) = √(x)/4

4•B(x) = √(x)

x = 16•(B(x))²

Q(x) = 16•x²

Therefore;

4. D(x) = (x + 6)/2

x = 2•D(x) - 6

f(x) = 2•x - 6

Therefore;

5. y(x) = (4•x + 2)²

(√(y(x)) - 2)/4 = 4•x

w(x) = (√(x) - 2)/4

Therefore;

6. R(x) = (1/4)•(4•x)²

x = √(4•R(x))/4 = √(R(x))/2

e(x) = √(x)/2

Therefore;

7. H(x) = 2•x + 6

(H(x) - 6)/2 = H(x)/2 - 3

x = H(x)/2 - 3

U(x) = x/2 - 3

Therefore;

8. J(x) = (√(x + 2))/4

x = (4•J(x))² - 2

P(x) = (4•x)² - 2

Therefore;

9. k(x) = x/4 + 3

x = 4•(k(x) - 3) = 4•k(x) - 12

m(x) = 4•x - 12

Therefore;

10. n(x) = 4•(x + 3)

x = n(x)/4 - 3

S(x) = x/4 - 3

Therefore;

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Part 1: The polynomial that represents the area of the hot tub = x² ft²; pool = (12x²-60x+75)ft² ; patio =.

Part 2: Cost of hot tub= $320; pool=$2541; patio = $104

To determine the area of the hot tub, pool and patio is carried out using the formula for the area of rectangle. That is; Area of rectangle = length× width

length = X ft

width = X ft

area = x² ft²

length = (6x-15) ft

width = (2x-5) ft

area = 6x -15× 2x-5

= 12x²-30x-30x+75

= (12x²-60x+75)ft²

length= (10x-12) ft

width = 2 +(2x-5)

= (2x-3) ft²

The cost of hot tub, pool and patio when X= 8 would be as follows:

area = x²

X = 8

area = 64ft²

But 1 ft² = 5$

64 ft² = ?

cost of hot hub = 64×5 = $320

area = (12x²-60x+75)ft²

where X = 8

area = 12(8)²-60(8)+75

= 768-480+75

= 363ft²

But 1 ft² = $7

363ft² = ?

cost of the pool = 363×7 =$2541

Area = (2x-3) ft²

X = 8

area = 2(8)-3

= 13ft

But 1 ft² = $8

. 13ft² = ?

Cost of patio = 13×8 = $104

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Answer:

Nothing is hard if you put your mind to it.

Step-by-step explanation:

The expression for total cost per month is 30(100000+2000f).

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

The standard deviation formula is σ = √∑(xi-μ)²/N

A) The expression for total cost per month

Let the number of flites be f.

Total cost = 30(100000+2000f)

B) The expression for total revenue per month

Rise airlines has the current capacity to fly a mean of 15 flites a day with a standard deviation of 12.

So, total revenue per month

= 30(100000+2000×15)

= $3,900,000

C) Here, σ=12, μ=15, N=60

σ = √∑(xi-μ)²/N

12= √∑(xi-15)²/60

144=(xi-15)²/60

8640=(xi-15)²

xi-15=92.95

xi=108

Therefore, the expression for total cost per month is 30(100000+2000f).

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Answer:

t = 8/9

Step-by-step explanation:

There are many possible solutions that could be expressed as equivalent to the equation 10t - 4t + 3t = 8.  With that being said, here is a simplified form, solved for t.

10t - 4t + 3t = 8

6t + 3t = 8

9t = 8

t = 8/9

Each of these form's is an equivalent equation to the one written by Mrs. McAlister.

If you can provide the table of student answers, we could answer which students were correct or wrong.  Without the table, we can only guess.

Cheers.

Answer:

9t=8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.

10 divided by 0 problem would NOT have a solution.

Given:

a. 10 divided by 2

b. 10 divided by 5

c. 10 divided by 0

d. 0 divided by 10

We know that ,

Integer divided by an integer is an integer

Therefore (a) and (b) will have a proper solution

We also know that ,

Zero divided by anything is Zero

Therefore (d) also have a unique answer that is zero

Now , We know that

Any numeric value divided by Zero tends to infinity .

Hence, 10 divided by 0 problem would NOT have a solution.

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Answer:

the minimum work he can do to complete it in 3 days is 1/3.

So he should do at least 1/3 of the work each day to complete it on time.

Answer = 1/3

Step-by-step explanation:

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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It will take the acrobat 1/4 of a second to land safely on the net.

Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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Answer: 1 3/12

Step-by-step explanation: You can multiple straight accross and

5 is equivelant to 5/1 so we would do

5/1 * 3/12 = 15/12 which can get simplified into 1 3/12

Hopt this helps :D

Answer:

Argentina and Chile!

- •Promise• {Kacchan}

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer:  Choice C

Condition 1 fails. \(\displaystyle \lim_{\text{x} \to 0}f(\text{x})\) does not exist

====================================

Explanation:

Use a table or a graph to determine that \(\ln(\text{x}^2)\) approaches negative infinity as x gets closer to 0.

Symbolically \(\displaystyle \lim_{\text{x} \to 0}\ln(\text{x}^2) = -\infty\). Since this result is not a finite number, we consider the limit to not exist. Write "DNE" as shorthand for "does not exist".

Therefore, \(\displaystyle \lim_{\text{x} \to 0}f(\text{x}) = -\infty\) making \(\displaystyle \lim_{\text{x} \to 0}f(\text{x})\) not exist as well.

Answer:

4 13/30

Step-by-step explanation:

1 3/5 + 2 5/6

= 8/5 + 17/6

= 48/30 + 85/30

= 133/30

= 4 13/30

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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