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The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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Answer:no idea

Step-by-step explanation:

Answer:

P(B) = 0.20

Step-by-step explanation:

If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).

Provide your answer below:

We are given two events A and B and the formula for the probability of two events is given as:

P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)

Where:

P(A)=0.5

P ( A ∪ B) = P(A OR B)=0.54

P( A∩ B) = P(A AND B)=0.16

P(B) = ??

Hence, we have:

0.54 = 0.5 + P(B) - 0.16

Making P(B) subject of the formula

P(B) = 0.54 - 0.5 + 0.16

P(B) = 0.20

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

We will have to determine a table that is linear and has a rate of change of 3.

Given

As there is no initial condition given, so we assume that:

now substituting m = 3 and b = 0 in the linear function

y = mx+b

y = 3x+0

y = 3x

Thus, the equation of the linear function with the rate of change or slope 3 is:

y = 3x

MAKING A TABEL:

The given equation

y = 3x

FOR x = 0

substitute x = 0

y = 3(0) = 0

FOR x = 1

substitute x = 1

y = 3(1) = 3

FOR x = 2

substitute x = 2

y = 3(2) = 6

FOR x = 3

substitute x = 3

y = 3(3) = 9

FOR x = 4

substitute x = 4

y = 3(4) = 12

FOR x = 5

substitute x = 5

y = 3(5) = 15

Thus, the table is:

x             y

0            0

1              3

2              6

3               9

4              12

5               15

Please check the attached graph below.

Answer:

The linear velocity of the cable ≅ 327 feet per minute.

Step-by-step explanation:

Given that the diameter of the drum = 8 feet

Radius of the drum = \(\frac{diameter}{2}\)

           = \(\frac{8}{2}\)

           = 4 feet

Radius of the drum = 4 feet

1 revolution = circumference of the drum

circumference of the drum = 2\(\pi\)r

where r is the radius.

So that;

circumference of the drum = 2 x \(\frac{22}{7}\) x 4

                                             = \(\frac{176}{7}\)

                                            = 25.143

circumference of the drum = 25.143 feet

The linear velocity of the cable = (13 x 25.143) feet per minute

                               = 326.859 feet per minute

The linear velocity of the cable ≅ 327 feet per minute.

Answer:First, we'll list all the possible dice rolls

{1,1} {1,2} {1,3} {1,4}

{2,1} {2,2} {2,3} {2,4}

{3,1} {3,2} {3,3} {3,4}

{4,1} {4,2} {4,3} {4,4}

Then we find how many rolls have an odd product, which is 4. We then divide this by the total number of rolls (16) to get a probability of 1/4 (since 4/16 simplified is 1/4). Multiply this by 1/2 to get a probability of 1/8 (We do this because of they are independent events.

So your final answer is 1/8

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

C, 9

Step-by-step explanation:

Start by substituting. \(a-10b/c\) should turn into \(2 - 10(1/2) / -(1/3)\). Then do all the multiplying in the parentheses to get \(2-5/-(1/3)\). Subtract 2-5 to get \(-3/-(1/3)\). 1/3 goes into one three times, so it goes into three nine times. By negating both 1/3 and 3, the nine stays positive, so the answer is 9.

Answer:

y - 13 = -2(x+7)

Step-by-step explanation:

Given

Coordinate point (-7, 13)

Slope m = -2

We can express the euation of the line in point slope form as shown;

The point slope form of the equation is expressed as;

y - y0 = m(x-x0)

x0 = -7, y0 = 13 and m = -2

Substitute;

y - 13 = -2(x-(-7))

y - 13 = -2(x+7)

Hence the required equation in point- slope form is y - 13 = -2(x+7)

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

The surface area of the cylinder is calculated as approximately:

8,444.6 mm².

The surface area of a cylinder (SA) = 2πrh + 2πr², where:

r is the radius

h is the height of the cylinder.

Given the following:

Diagonal of cylinder = 40 mm

Height of cylinder (h) = 32 mm

Radius (r) = √(40² - 32²) = 24 mm [based on Pythagorean Theorem]

Plug in the values:

surface area of the cylinder (SA) = (2 * π * 24 * 32) + (2 * π * 24²)

≈ 8,444.6 mm²

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Answer:

the question is 9c/3d where c=4 and d=6

9*4/3*6=2

Answer:

R330

Step-by-step explanation:

2 + 3 = 5

5x = 825

2x = 825 x 2/5

825 x 2 = 1650

1650/5 = 330

Mandy makes R330.

Mandy's share from the profit is R495

Data;

This is the portion shared between two or more entities in a definite proportion.

To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.

\(2 + 3 = 5\\\frac{3}{5} * 825 = 495\)

Mandy's share from the profit is R495

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Step-by-step explanation:

Alright so range is how far the function goes in the y direction while domain is how far the function goes in the x direction. For letter a, to find the range you would look at how high the y-values go for the graph. In this problem, the highest the graph goes is y=3 and the lowest the graph goes is y=1. This means that Range is [1,3]. The closed brackets mean the function is actually hitting the value 1 and 3 while open brackets, (x,y), mean the value does not actually hit those values. For the domain of letter a, we will look at how far the function continues in the x direction. Since the function has arrows on the end going left and right, that means that the function continues on the x-axis forever, making the domain       (-∞,+∞). They are open brackets because a value can never actually be infinity. To show if it's a function, we perform the vertical line test. Basically, you put an imaginary vertical line across the whole graph and see if that line hits the function more than once. If it doesn't, like a, it's a function. If it does hit the graph twice like c, it is not a function. I hope this all makes sense.

Answer:

B and C

Step-by-step explanation:

the answer is B and C because

on the basis of option A

-2+6=4 (not equal to -8)

on the basis of option B

-4+-4 =-4-4=-8 (=-8)

on the basis of option C

6+-14=6-14=-8 (=-8)

on the basis of option D

11-3 =8 (not equal to -8)

on the basis of option E

5+3=8 (not equal to -8)

HOPE YOU HAVE UNDERSTOOD

Answer:

Step-by-step explanation:

The absolute change in game length is ...

  (180 min) -(150 min) = 30 min . . . . change in game length

__

The relative change is expressed as a fraction of the original game length:

  (30 min)/(150 min) × 100% = 20% . . . . relative change in game length

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Answer:

Plot the points on the graphing calculator, then generate the exponential regression equation. That equation is

\(f(x) = 852.650 ({1.082}^{x} )\)

\(f(9) = 1733\)

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

The sample space is (R, G, P, Y).(OB)

What is sample space?

A sample space is a collection  of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”.  A sample space may contain a  finite number of outcomes which depends on the experiment.

You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1

yellow (Y).

So here is 4 sections

Red(R), Green (G), Purple (P), Yellow(Y)

So there are 4 sections in sample space

The sample space for one spin of the spinner is  (R, G, P, Y).

Hence, the sample space is (R, G, P, Y).

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The expression for the sum of 1 cubed, 2cubed and 3 cubed is 1² + 2³ + 3³ and the value is 36.

It should be noted that the information is to find the expression for the sum of 1 cubed, 2cubed and 3 cubed.

This will be:

= 1³ + 2³ + 3³

= 1 + 8 + 27

= 36

Therefore, the correct answer is 36.

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Answer:

90%

Explanation: 27/30 ÷ 3 = 9/10

9/10 ⇒ 9 x 10 = 90%

Answer:

3rd term: 24

10th term: 220

Step-by-step explanation:

For the 3rd term

2*3 + 2*(3^2) = 6 + 2*9 = 6 + 18 = 24

For the 10th term

2*10 + 2*(10^2) = 20 + 2*100 = 20 + 200 = 220

We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km

Since it's mile per gallon, we divide the units mentioned above.

1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251

Now multiply this result as a factor to 22

That is 22 * 0.4251 = 9.3522

So the answer is 9.3522

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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Answer:

C and D

multiply the 6 and -3 to the numbers inside the parenthesis

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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