An expression that is equivalent to 8(a + 4)

Answer:

1. \(-3x^{2} +6x+4\)

2. \(3x^{2} -19x-14\)

Step-by-step explanation:

1. Just subtract them. (To subtract easier, ignore the variables and subtract regularly. When you're done go back and put the variables back in)

2. Foil

\((3x +2)(x-7)\)

\(3x^{2} -21x+2x-14\\3x^{2} -19x-14\)

Answer:

C: The dependent variable is the amount of money he earns, and the

independent variable is the number of lawns he mows

Step-by-step explanation: Just took the test

Answer: $10

Step-by-step explanation:

4x + 20 = 60

-20 from each side

4x = 40

divide each side by 4

x = 10

The equation of the line in slope - intercept form will be -

y = (4/5)x + 5

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have David's family who rented a boat for a flat fee of $20 plus an hourly fee. David's family rented the boat for 4 hours.

We can model the equation by the equation of straight line as -

y = 4x + 20

For 4 hours of renting, the amount will be -

y = 4 x 4 + 20 = $36

The hourly rate for renting the boat is $4.

Therefore, David's family paid $36 for 4 hours and the hourly renting rate is $4.

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To determine if a distribution is normal, you can employ several methods:

Histogram: Plot the data on a histogram and visually inspect its shape. A normal distribution typically has a symmetric bell-shaped curve, with the majority of the data points concentrated around the mean.

Quantile-Quantile (Q-Q) Plot: A Q-Q plot compares the quantiles of your data to the quantiles of a theoretical normal distribution. If the points on the plot roughly follow a straight line, it suggests that the data is normally distributed.

Skewness and Kurtosis: Calculate the skewness and kurtosis of the data. For a normal distribution, the skewness should be close to zero and the kurtosis should be close to three. Deviations from these values indicate departures from normality.

Shapiro-Wilk Test: Conduct a statistical test, such as the Shapiro-Wilk test, which tests the null hypothesis that the data comes from a normal distribution. If the p-value is above a predetermined significance level (e.g., 0.05), you fail to reject the null hypothesis and conclude that the data is normally distributed.

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Answer:

$5820

Step-by-step explanation:

1500*6%=90 per month

90*(48months=4yrs)=4320

1500+4320=5820

The inverse function undoes what the original function does. If we apply the function f and then its inverse g, or g and then f, the result is always the input value of the original function. In other words, the composition of a function and its inverse is the identity function.

1. Transformation of f(x)=e^xThe transformation of the parent function f(x)=e^x after shifting two spaces to the right and 5 spaces down is g(x

=e^(x-2)-5.

The domain of g(x)

=e^(x-2)-5

is all real numbers, which is similar to the domain of the parent function f(x)

=e^x,

and the range of g(x) is (-5, ∞).2. Inverse of the function g(x)The inverse of the function g(x)

=e^(x-2)-5

is g^-1(x)

=ln(x+5)+2.

The domain of the inverse function is (-5, ∞) and the range is all real numbers.3. Explanation of inverse functions to your friendA function is a set of ordered pairs where each input has exactly one output. If we swap the roles of input and output, the function becomes its inverse. The inverse of a function is a set of ordered pairs obtained by switching the input and output of the original function.The inverse function undoes what the original function does. If we apply the function f and then its inverse g, or g and then f, the result is always the input value of the original function. In other words, the composition of a function and its inverse is the identity function.

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8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.

Answer:Rite aid

Step-by-step explanation:

8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.

15% of $30 is $4.50 because​ of the​ concept of pe​rce​ntage​ which is a chapter from mathematics.

Give​n: 15% of $30

Find: You need to find the 15% rate of $30.

Solution: A percentage can be defined as a number or ratio expressed as a fraction of 100. It is often denoted by the percent sign (%), but the abbreviation percent, percent, and in some cases percent is also used. Percentages are dimensionless numbers (pure). There are no units of measurement.

Example: If 25% of the total number of students in a class are male, 25 out of 100 are male. He has 500 students, 125 of whom are male.

So 15% of $30 = (15/100) x $30 = 0.15 x $30 = $4.50.

So using the percentage gives the answer  as $4.50.

 Therefore, percentages are very  useful in our daily life.

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Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

Answer:

1.50

Step-by-step explanation:

To find the mean of the probability distribution, we need to multiply each value of hours studied by its corresponding probability, then add up the products.

Mean = (0.5 x 0.07) + (1 x 0.2) + (1.5 x 0.46) + (2 x 0.2) + (2.5 x 0.07)

Mean = 0.035 + 0.2 + 0.69 + 0.4 + 0.175

Mean = 1.5

Therefore, the mean of the probability distribution is 1.5.

Answer:

D

Step-by-step explanation:

1.50 on edge (if that guys right)

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

Option B.

Step-by-step explanation:

If the value of function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersect x-axis at its zeroes.

From the given table it is clear that the value of function are

x  |  f(x) | Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5.

It means, the graph of function must intersect x-axis in interval 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.

Therefore, the correct option is B.

Answer:

between 2.5 and 3.0 and between 4.0 and 4.5

Step-by-step explanation:

B on my computer but always double check!

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

The range of the random variable d is {-4, -2, 0, 2, 4}, so the correct answer is option b.

To find the range of the random variable d, we need to consider all possible outcomes of the experiment and calculate the value of d for each outcome.

In this experiment, a fair coin is flipped 4 times. Each flip can result in either a "heads" or "tails" outcome.

Let's consider the possible outcomes and calculate the corresponding values of d:

1. Four heads (HHHH): d = 4 - 0 = 4

2. Three heads and one tail (HHHT, HHTH, HTHH, THHH): d = 3 - 1 = 2

3. Two heads and two tails (HHTT, HTHH, THHH, TTHH, HTTH, HHTH): d = 2 - 2 = 0

4. Three tails and one head (TTTH, TTHT, THTT, HTTT): d = 1 - 3 = -2

5. Four tails (TTTT): d = 0 - 4 = -4

The range of d is the set of all possible values that d can take on, which is {-4, -2, 0, 2, 4}.

Therefore, the correct answer is option b. {-4, -2, 0, 2, 4}.

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Answer: 171.5

Step-by-step explanation:

1/2 x 7 x 7 x7  = 171.5 cm3

Answer:

\(volume=1/3(area ~of ~base) \times( height)\)

\(v=1/3(7\times7)\times7\)

\(v=343/3\)

\(v=114\)

-----------------------

hope it helps...

have a great day!!

The domain of discourse is the integers is smaller integer

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

1.(a) ∃x∀y(y > x)

The statement is False

it is impossible to find a single integer x that has the property that all integer y are bigger that it. for any integer x, the integer y =x-1 is smaller

(b) ∀y∃x(y > x)

the statement is true for every integer y, we can find a integer x that is smaller, for example x=y-1

(c) ∃x(x = 0 → x = 1)

The statement is True

there exist x such that (x = 0, x=1). in this statement when we select x =1. this statement is true  regardless of x not equal to 0 therefore this statement is true if x=1 when x=1

2. (a) ∀x∃y(2 < x ≤ y)

we know

∀xP(x)=∃y(P(x))

∃xP(x)=∃y(P(x))

now apply de morgan law

∃x∀(y)=2>x v x>y

(b) ∀y∃x(y > 0 → x ≤ 0)

we know that A-B = A V B

∀y∃x (Y<0 V X< 0)

∀y∃x (Y<0 : X< 0)

3.(a) Given : All people weigh at least 100 pounds.

The negation is : Some people weigh less than 100 pounds. ( All negates to some, at least negates to less than )

(b) The statement is : Somebody did not see any animals in the zoo.

Equivalently : Somebody see no animals in the zoo.

Negation : Everybody saw some animals in the zoo. ( Somebody negates to everybody, No animals negates to some animals )

4. P(x,y): x is friends with y.

Then the given translates to " For all x there is a person y and a person z such that if y and z are not the same people that x and y are friends and x and z are friends."

The given statement is False. For every person x, we can always find two distinct persons y and z such that x is friends with y and y is friends with z. But, we reach a contradiction when we consider the case when x has only one friend. Then for that particular person x, we can find a person y such that P(x,y) but we cannot find a person z such that P(x,z). Hence, in that case, the statement is FALSE.

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Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1

sin(K/2) = 5.4×sin(M1)/12.3

sin(K/2) = 8.2×sin(M2)/x

therefore

5.4×sin(M1)/12.3 = 8.2×sin(180 - M1)/x

since sin(a) = sin(180 - a)

5.4×sin(M1)/12.3 = 8.2×sin(M1)/x

and then

5.4/12.3 = 8.2/x

x×5.4 = 8.2×12.3

x = 8.2×12.3/5.4 = 18.67777777... ≈ 18.7

Step-by-step explanation:Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1

Answer: about 2.2 times 8^8

Step-by-step explanation:

Pay the money x=y^2

Answer:

$27.99

Step-by-step explanation:

34.99*.20 = 6.998

34.99-6.998 = 27.992

the answer rounded would be $27.99

Hope this helps

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Answer:

$16.00

Step-by-step explanation:

If three pencils, each measuring one foot in length, are laid end to end touching, the total distance covered by the row would be 3 feet.

Since each pencil is 1 foot long, when three pencils are laid end to end, they form a row that is 3 feet long. The key information here is that the pencils are touching, which means there are no gaps between them. Therefore, the row would extend for a total distance of 3 feet.

In this scenario, the correct answer is option a, 3 ft. The row would not extend beyond 3 feet because there are only three pencils, each measuring one foot in length. If there were more pencils or if they were not touching end to end, the total distance covered by the row would be different. However, based on the given information, the row formed by the three one-foot-long pencils would have a length of 3 feet.

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The correct statement is: 'A standard normal distribution has a mean of 0 and a standard deviation of 1 '

The correct answer is an option (b)

In this question, we need to complete given statement.

We know that the normal distribution is a symmetrical and bell-shaped distribution.

In standard normal distribution the mean, median and mode are all equal. Also, it always has a mean of zero and a standard deviation of one.

So,  A standard normal distribution has a mean of 0 and a standard deviation of 1 .

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Answer:

The first one is mean absolute deviation and the second one is did not improve

Step-by-step explanation:

I took the test

The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The given table is:

                  Mean     MAD

Last Year    16.2 s     1.2

This Year    14.7 s      1.9

Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.

The mean absolute deviation is bigger, but the change in the mean is bigger.

difference of the mean   16.2 - 14.7 = 1.5

difference of the MAD  1.9 - 1.2 = 0.7

This means that the average speed of the runners increased since last year,

and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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There are 103680 different possible outcomes.

In this question, we need to find the number of different possible outcomes are there if he rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6.

This will be:

number of sides of pyramid = 4

Spinner = 3

a fair die in the shape of a cube = 6

The combination will be:

= 4! × 3! × 6!

= 103680 ways

Therefore there are 103680 different possible outcomes.

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Answer: The answer is 72.

Number of ways to roll a 4-sided die: 4

Number of ways to spin a 3-section spinner: 3

Number of ways to roll a 6-sided die: 6

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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