Which expression is equivalent to (3^2)^4⋅(3^4)?

Answer:

12.5 percent

Step-by-step explanation:

Well if you do

12/96

Simplify that

to get

1/8

1/8=12.5

Answer:

The equation is \(L + B = \$800\)

Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.

Step-by-step explanation:

Given

Represent Liberal Arts with L and Business with B

From the question, we have that:

\(L = 3 * B\)

and

\(Total = \$800\)

Required

Determine how much she donates for each

The total L + B is 800

i.e.

\(L + B = \$800\)

Substitute 3 * B for L

\(3 * B + B = \$800\)

\(3 B + B = \$800\)

\(4B = \$800\)

Solve for B

\(B =\$800/4\)

\(B =\$200\)

Recall that :

\(L = 3 * B\)

\(L = 3 * \$200\)

\(L = \$600\)

Answer:

p = 131.25

Step-by-step explanation:

The slides' result includes utility functions that are homogeneous of any degree, which covers the case of utility functions that are homogeneous of degree one mentioned in statement (a).

(a) To prove that a continuous preference relation is homothetic if and only if it can be represented by a utility function that is homogeneous of degree one, we need to show the two-way implication. If a preference relation is homothetic, it implies that there exists a utility function that is homogeneous of degree one to represent it. Conversely, if a utility function is homogeneous of degree one, it implies that the preference relation is homothetic.

(b) The result mentioned in the lecture slides states that any preference relation represented by a utility function that is homogeneous of any degree is homothetic. This statement is more general because it includes the case of utility functions that are homogeneous of degree other than one. So, the lecture slides' result encompasses the specific case mentioned in statement (a) as well.

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Answer:1 im pretty sure

Step-by-step explanation:

Answer:

it takes José an 1.18181818 hours

Step-by-step explanation:

since d is miles you replace the d in the equation with 100

so: 100=55t

divide both sides by 55

1.18181818=t

The parameter often associated with enzyme affinity for substrates is Km.

Km, also known as the Michaelis constant, is a parameter commonly used to quantify the affinity of an enzyme for its substrate. It is an important parameter in enzyme kinetics and plays a crucial role in determining the efficiency of an enzyme-substrate interaction.

Km represents the substrate concentration at which the rate of the enzymatic reaction is half of its maximum velocity (Vmax). In other words, enzymes with lower Km values have higher affinity for their substrates, as they can achieve half of their maximum velocity at lower substrate concentrations. Therefore, Km serves as an indicator of the enzyme's ability to bind and convert substrates into products efficiently.

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Answer:

9m

Step-by-step explanation:

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

you would role 2 about 67 times

Step-by-step explanation:

Answer:

67 times

Step-by-step explanation:

The probability of rolling a 2 is:

P(2) = number of 2's on a die / total sides on a die.

P(2) = 1/6

Multiply this probability by the number of rolls.

P(2) * 400

1/6 * 400

66 2/3

Rounding up.

67 times

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

y=mx+b

M=slope B=Y-intercept

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Hyperkalemia is what is more likely to occur due to the results of the conditions.

This is used to refer to the condition where there is too much of potassium in the blood of a person.

The side effects is that the person would feel tiredness, weakness and he would feel abnormal heart beat.

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Using the elimination method, the solution to the system of linear equations is: x = 4.5 and y = -5.

Solving a system of linear equations by elimination involves eliminating one of the variables, then solve to find the other variable.

Given the equations:

6x + 5y = 2 --> eqn. 1

4x + 2y = 8 --> eqn. 2

Multiply eqn. 1 by 2 and eqn. 2 by 5:

12x + 10y = 4 --> eqn. 3

20x + 10y = 40 --> eqn. 4

Subtract

-8x = -36

x = 4.5

Substitute x = 4.5 into eqn. 2

4(4.5) + 2y = 8

18 + 2y = 8

2y = 8 - 18

2y = -10

y = -5

The solution is: x = 4.5 and y = -5.

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The slope-intercept form of the equation of the line is y = x + 6.

A linear equation with a degree of one is referred to as an equation of the line. Two variables, x, and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation.

The equation of the line's general form is:

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The formula for calculating the line's slope is

Slope = ( 6 - 4) / ( 2 - 0)

Slope = 1

The y-intercept will be calculated as:-

y = mx + c

y = x +c

6 = c

The equation of the line can be written as:-

y = x + 6

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Answer:

X < -6

Step-by-step explanation:

To determine the possible values of x that make the triangle with sides x, x, and 6 an acute triangle, we need to consider the triangle inequality theorem.

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the longest side is given as 6. Therefore, the sum of the lengths of the other two sides (both x) must be greater than 6.

Mathematically, we can express this as:

2x > 6

Dividing both sides of the inequality by 2, we have:

x > 3

So, any value of x greater than 3 will make the triangle valid.

In interval notation, the solution would be x ∈ (3, ∞) or x > 3.

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Hi there!

\(\large\boxed{f(5) = 17}}\)

f(x) = 3x + 2, find f(5):

To find f(5), we simply substitute in 5 for x:

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

Answer:

98

Step-by-step explanation:

i just finished this practice

Answer:

98 in³

Step-by-step explanation:

I just did the practice with a 100 percent and all answers correct first try :P

Answer:

3

Step-by-step explanation:

30 divided by ten is 3 so 3= 10% of 30

:)

The number line for the set of jump distances to make a new record.

Option B is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

The school record in the long jump = 518 cm

Now,

To make a new record the set of jump distances should be greater than 518 cm.

To represent the set of jump distances on a number line we can not have a black dot on 513 on the number line.

The dot should be an open dot.

Thus,

Option B is the number line for the set of jump distances to make a new record.

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Answer:

9

Step-by-step explanation:

18:2

?:1

?=9

Answer:

9 seats

Step-by-step explanation:

divide 18 by 2 to find how many seats are in each row, or 1 row

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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The travel time x is 41.162 min such that 17.36% of the 60 days have a travel time that is at least x.

We have to determine the travel time such that 17.36% of the 60 days have a travel time that is at least.

Total work days to work = 60 days

The travel mean time = 35.6

Standard deviation = 10.3

For normal distribution,

P(X < A) = P(Z < (A - mean)/standard deviation)

P(X > x) = 0.2946

P(X < x) = 1 - 0.2946 = 0.7054

P(Z < (x - 35.6)/10.3) = 0.7054

Take the z value that corresponds to 0.7054 in the table of the standard normal distribution.

(x - 35.6)/10.3 = 0.54

x = 41.162 min

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When a template is created, dummy data is used to verify the formulas in the template.

A template is a pre-designed format or layout that can be used for various purposes, such as creating reports, invoices, or budgets. One of the most important aspects of creating a template is ensuring that all the formulas and calculations used in it are accurate and produce the desired results.

To verify the formulas in a template, dummy data is often used. Dummy data is a set of fictitious or meaningless data that is used to test and verify the functionality of a system or application. In the context of templates, dummy data is used to ensure that the formulas and calculations used in the template are working correctly.

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Answer:

The expression for Simon's age in terms of the variable m would indicate that Simon's age is equal to four times Marcie's age plus 3:

s=4m+3 (1)

Also, you know that the sum of their ages is 58, which is:

s+m=58 (2)

You can replace (1) in (2) and solve for m to find Marcie's age:

4m+3+m=58

5m=58-3

5m=55

m=55/5

m=11

Finally, you can replace m in (1) to find Simon's age:

s=4(11)+3

s=44+3

s=47

According to this, Marcie is 11 years old and Simon is 47 years old.

Answer:

See Explanation

Step-by-step explanation:

\(25x + 30y = 340\\y = 2x\\\)

x=number of hours Isaiah worked.

y=number of hours Cooper worked