Find the domain and range, stated in interval notation, for the following function.
g(x)=− √x−4
Domain of g=
Range of g=

A congruent rectangle is a rectangle that has the same size and shape as another rectangle. In other words, two rectangles are congruent if they have the same length and width.

Since the rectangle is 4 inches by 7 inches, one of the dimensions represents the length and the other represents the width. The length and the width can be interchanged to form a different rectangle with the same area.

Since the rectangle is congruent to the 4-inch by 7-inch rectangle, the length and width of the rectangle are either 4 inches or 7 inches. Therefore, the length of segment JM can be either 4 inches or 7 inches.

So, there are two possible values for the length of segment JM: 4 inches and 7 inches.

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The solution of the system of equations is y = 5 and x = 3, and the difference x - y gives:

x - y = -2

Here we have the system of equations:

5x + 3y = 30

-5x - 2y = -25

If we add the two equations we will get:

(5x + 3y) + (-5x - 2y) = 30 + (-25)

y = 5

So just by doing that we found the value of the variable y.

To find the value of x, we can replace the known value of y on one of the equations, doing that we will get:

5x + 3y = 30

5x + 3*5 = 30

5x + 15 = 30

5x = 30 - 15 = 15

x = 15/5 = 3

x = 3

Then the difference x - y gives:

x - y = 3 - 5 = -2

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Answer:

the degree is 8

type trinomial

Step-by-step explanation:

plz mark as brainlist

Answer:

1234567891011121314151617181920

Answer:

16

Step-by-step explanation:

12 = 75%

4 = 25%

4 x 4 = 16

16 = 100%

Sorry if it's confusing but that's just how I think of it.

Answer:

12x100/75 = 16

Step-by-step explanation:

Answer:

325

Step-by-step explanation:

40/100=130/x

Cross multiply to find x

40x=13000

/4            /4

x=325

Answer:

look at the screenshot

Step-by-step explanation:

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

As a fraction, length of the 15 rods = 8 4/7 feet

As decimal, length = 8.57 feet

initial length pipes = 4 feet

Dividing the length of the pipe into 7:

length of 15 of those rods:

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

y -3 = 2( x-1)

Step-by-step explanation:

Point slope form of a line is

y-y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y -3 = 2( x-1)

the expression equivalent to 2x + 8 is (x+4) + (x+4)

using the commutative property we can say that

2x +8 = x + x + 8

also 2x + 8 = x + 4 + x + 4

hence 2x + 8 = (x+4) + (x+4)

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If the population is half women, then we can expect that half of the 408 people chosen would also be women. Therefore, we can expect 204 women to be in the sample if it was randomly drawn from the population.

To determine how likely it is that the sample has only 184 women or fewer, we need to use a statistical test. We can use a binomial distribution with n=408 and p=0.5 (since half the population is women). We want to find the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population. Using a binomial calculator, we find that the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population is 0.0036, or 0.36%. This means that if the sample truly was randomly drawn from the population, it would be very unlikely to get a sample with only 184 women or fewer. However, if the sample did have only 184 women or fewer, it could suggest that the sample was not truly randomly chosen and that there may be bias against women in the selection process. Further investigation would be needed to confirm this suspicion.

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Answer:

44

Step-by-step explanation:

* means multiply

put 8 where the x is

6 * 8 - 4

48 - 4

44

a. A prediction interval for a new observation is appropriate since we are trying to predict the humidity level for a specific future time point.

b. A confidence interval for a mean response is appropriate since we are trying to estimate the average spending of families whose disposable income is $23,500 for meals away from home.

c. A confidence interval for a mean response is appropriate since we are trying to estimate the average consumption of kilowatt-hours of electricity for a specific population of commercial and industrial users in the Twin Cities service area.

A confidence interval is a range of values that is likely to contain the true value of a population parameter, such as the population mean, with a certain degree of confidence. It is based on sample data and provides an estimate of the range of values within which the true population parameter is likely to fall.

A prediction interval, on the other hand, is used to estimate the range of values for a new observation or future data point. It takes into account both the sampling variability and the inherent variability in the response variable, and provides a range of values within which a new observation is likely to fall with a certain degree of confidence.

Therefore, if the question is asking about a specific prediction for a new observation or future data point, a prediction interval is appropriate. On the other hand, if the question is about estimating a population parameter, such as a mean, based on a sample, then a confidence interval is appropriate.

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Answer:

(6, 1 )

Step-by-step explanation:

To determine which ordered pair is a solution

Substitute the x and y values into the left side of the equation and if equal to the right side then it is a solution.

(6, 1 )

3(6) + 9(1) = 18 + 9 = 27 ← Solution

(1, 8 )

3(1) + 9(8) = 3 + 72 = 75 ≠ 27

(1, 11 )

3(1) + 9(11) = 3 + 99 = 102 ≠ 27

(8, 1 )

3(8) + 9(1) = 24 + 9 = 33 ≠ 27

Then (6, 1 ) is a solution to the equation

Answer:

a=6

Step-by-step explanation:

-6(2+a)=-48

-12-6a=-48

-6a=-36

a=6

The df value for inference about the slope in a regression analysis with n observations is n-2.

In a regression analysis, we use data from n observations to estimate the relationship between two variables. The df, or degrees of freedom, is the number of values in the final calculation that are free to vary. In simple linear regression, we estimate two parameters: the intercept and the slope.

Therefore, when calculating the df for inference about the slope, we subtract the two estimated parameters from the total number of observations (n). So, the df value for the slope is n-2. This is important because it impacts the test statistic and the confidence intervals for the slope in our regression analysis.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

15

Step-by-step explanation:

im smart

To solve this problem, we need to consider each digit separately.

Therefore, the answer is:
a) 0 is used once   b) 1 is used 301 times   c) 2 is used 300 times     d) 9 is used 300 times.

Starting with the digit 0, we can see that it is used only once, in the number 0.
Moving on to the digit 1, it is used in the numbers 1-9, as well as in the teens (10-19), and every hundred (100-199, 200-299, etc.). That gives us a total of 301 uses of the digit 1.
Next, we look at the digit 2. It is used in the numbers 2-9, as well as in the twenties (20-29) and every hundred (200-299, 1200-1299, etc.). That gives us a total of 300 uses of the digit 2.
Finally, we consider the digit 9. It is used in the numbers 9-99 (90-99 counts twice), as well as every hundred (900-999). That gives us a total of 300 uses of the digit 9.
To summarize, the number of times each digit is used in writing out the numbers from 1 to 1000 in decimal notation is:
a) 0 - 1 use
b) 1 - 301 uses
c) 2 - 300 uses
d) 9 - 300 uses

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The pieces of wood will be at least 1/2 foot in length and will be 6.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

1/3 has 5 x

1/2 has 4 x

2/3 has 2 x

Pieces that are 1/2 the length and 1/3 the length;

4 pieces with a length of 1/2 feet.

2 pieces have a length of 2.3 feet.

Pieces at least half a foot long:

⇒4 + 2 = 6

Hence, the pieces of wood are at least 1/2 foot in length and will be 6.

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Answer:

-1.0

Step-by-step explanation:

The strength of a correlation relationship is quantified by its correlation coefficient, the strongest possible being "perfectly" correlated. A perfect negative correlation has a value of -1.0 and indicates that when X increases by z units, Y decreases by exactly z; and vice-versa.

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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Answer:

20 dollar tip (rounded) assuming the bill is 68.37

Step-by-step explanation:

just multiply 68.37 by 0.25, and you get 17.09 or 20 dollars rounded to TENS place.