In a game show, a contestant has to correctly guess a four-digit code to open the door that contains the prizes. The digits of the code are taken from the digits 1, 2, 3, 4, 5, 6.
a. If the code represents an even number, how many codes are possible if all four digits are different?
b. If the last digit of the code is a prime number, how many codes must the contestant choose from if repetition of digits is allowed? if only the first and last digits are the same?
C. If it is known that the code represents a number divisible by 5, from how many different codes can the contestant choose if all four digits of the code are identical?​

For a 5.0 µC point charge moved within an electric field, the electric potential difference is mathematically given as

du=2*10^6

Generally, the equation for the change in potential energy is mathematically given as

dV=qdu

Therefore

10=5*10^{-6}*du

du=2*10^6

In conclusion, the electric potential difference

du=2*10^6

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Under division, the set of polynomials is not closed. In that, they are closed under addition, subtraction, and multiplication, polynomials constitute a system like the system of integers.

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.

The word polynomial is pronounced as "many terms" since it comes from the Greek words "poly," which means "many," and "nominal," which means "terms." A polynomial is not infinite, although it can have any number of terms.

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

In a between-subjects, two-way ANOVA, participants belong to all cells. The question is that participants belong to all cells in a between-subjects, two-way ANOVA. This means that the number of cells will be equal to the product of the levels of factor 1 and factor 2.

For instance, if factor 1 has 2 levels (e.g. male and female) and factor 2 has 3 levels (e.g. age groups: young, middle-aged, and old), then there will be 6 cells in total. Each cell represents a combination of the levels of both factors and contains data from a unique group of participants.

Two-way ANOVA is a statistical method used to test for differences in means between two or more groups. It is a type of ANOVA that is used when there are two independent variables. This can be thought of as a way to study the effects of two factors on a dependent variable.

The independent variables are typically categorical, while the dependent variable is continuous. The two factors are often referred to as factor A and factor B. The goal of the analysis is to determine whether there is a significant interaction between the two factors, as well as whether each factor has a significant effect on the dependent variable.

In a between-subjects, two-way ANOVA, participants belong to all cells. This means that the number of cells will be equal to the product of the levels of factor 1 and factor 2. For instance, if factor 1 has 2 levels (e.g. male and female) and factor 2 has 3 levels (e.g. age groups: young, middle-aged, and old), then there will be 6 cells in total. Each cell represents a combination of the levels of both factors and contains data from a unique group of participants.

The number of cells will be equal to the product of the levels of factor 1 and factor 2. Each cell represents a unique group of participants with a specific combination of the levels of both factors. This type of analysis is useful when studying the effects of two independent variables on a dependent variable.

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Answer:

f(-8) = 10

Step-by-step explanation:

f(x) = x + 18

f(-8) = -8 + 18 = 10

The patient will take 2 tablets of lanoxin each day based on strength of tablets for the measurement.

We need to know the strength of the lanoxin tablets in order to calculate how many the patient will take dail based on measurement. Assume that the amount of lanoxin in each tablet is 0.0625 mg.

Given that 2 * 0.0625 mg = 0.125 mg, we can provide the patient 2 pills to obtain a dose of 0.125 mg. The patient will therefore take 2 lanoxin tablets daily.

It's crucial to remember that in order to make sure the patient receives the proper dosage of medication, we must take the medication's potency and the recommended dose into account while calculating dosages. In this instance, we assumed that each pill contained 0.0625 mg of lanoxin, but it's vital to read the drug label twice or get confirmation from the prescribing healthcare provider before giving the patient the medication. To maintain the patient's safety and wellbeing, it's also critical to adhere to the right pharmaceutical delivery standards.

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Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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Answer:

What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.

The exponential regression equation for this set of data is y = \(14.129e^{(0.495x)\) and the number of bacteria present after 10 hours is approximately 24684.

The exponential regression equation for this set of data can use a calculator or spreadsheet software.

The equation will have the form y = abˣ a is the initial number of bacteria and b is the growth rate.
Using the given data can create a table of values for the equation:
x                y                   ln(y)
---------------------------------------
0              16                2.773
1               66               4.189
2             311                5.739
3            791                6.672
4          1553                7.349
5          2571               7.853

A regression tool can find that the equation is approximately y = \(14.129e^{(0.495x)\) rounded to three decimal places.

The initial amount of bacteria is approximately a = 14.129 and the growth rate is approximately b = 1.649.
The number of bacteria present after 10 hours can plug x = 10 into the equation:
y = \(14.129e^{(0.495\times 10)\)

= 24683.522
Rounding to the nearest whole number get that the number of bacteria present after 10 hours is approximately 24684.

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Answer:

15+3=15+13

Step-by-step explanation:

On solving the question resultant answer from the given data we have  algebraic  expression 5/48 could be  0.10

Algebraic expression can be defined as the combination of  constants , variables and operators. Algebraic expressions are the concept of expressing numbers using letters or alphabets without specifying their real values. The basics of algebra taught us a way to specific an unknown value the usage of letters which includes x, y, z, and many others. those letters are called here as variables. An algebraic expression may be a combination of each variables and constants. Any value this is positioned before and increased through a variable is a coefficient.

So, the given expression , 5/48

5/48 = 0.10

The resultant answer from the given expression 5/48 could be 0.10

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The correct question is -

Solve the equation.

p= −6p=48

Please help I suck at math

Answer:

0

Step-by-step explanation:

Answer:

Zero

Step-by-step explanation:

The original amount of the loan is approximately $6,605.45, and the balance after the 30th payment can be calculated using the remaining number of payments, interest rate, and the original loan amount

The original amount of the loan can be calculated using the monthly payment amount and the interest rate. The balance after the 30th payment can be determined by considering the remaining number of payments and the interest accrued on the loan.
To find the original amount of the loan, we need to calculate the present value (PV) using the monthly payment amount, interest rate, and the loan term. In this case, the loan term is five years, or 60 months, and the monthly payment is $200.38.
Using the formula for the present value of an ordinary annuity:
PV = PMT × [(1 - (1 + r)^(-n)) / r]
Where PMT is the monthly payment, r is the monthly interest rate, and n is the number of periods (number of months in this case).
First, we need to convert the annual interest rate to a monthly interest rate. The annual interest rate is 7.5%, so the monthly interest rate is 7.5% / 12 = 0.075 / 12 = 0.00625.
Next, we can substitute the values into the formula to find the present value (original amount of the loan):
PV = $200.38 × [(1 - (1 + 0.00625)^(-60)) / 0.00625]
  ≈ $200.38 × 32.9536
  ≈ $6,605.45
Therefore, the original amount of the loan is approximately $6,605.45.
To find the balance after the 30th payment, we need to consider the remaining number of payments and the interest accrued on the loan. Since each monthly payment reduces the loan balance, we need to calculate the remaining loan balance after 30 payments.
Using the formula for the remaining balance of a loan:
Balance = PV × (1 + r)^n - PMT × [(1 + r)^n - 1] / r
Where PV is the present value (original loan amount), r is the monthly interest rate, n is the remaining number of periods (remaining number of months), and PMT is the monthly payment.
Substituting the values into the formula:
Balance = $6,605.45 × (1 + 0.00625)^(60 - 30) - $200.38 × [(1 + 0.00625)^(60 - 30) - 1] / 0.00625
Calculating the expression will give the balance after the 30th payment.

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Answer:

64 is the answer glad to help

To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

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Answer:

9 and 18

Step-by-step explanation:

let the numbers be x and 2x

so that x+2x=27

3x=27

x=9

so the numbers are 9 and 18.

I hope this will help

Answer:

\( \\ \)

Step-by-step explanation:

It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.

\( \\ \)

Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .

\( \\ \)

Now,

\( \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\\)

Adding like terms we get :

\(\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\\)

Dividing both sides by 3 we get :

\(\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\\)

\({\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\\)

So,

\( \\ \)

Now,

\( \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\\)

\({\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\\)

\({\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\\)

Therefore,

Answer: B. Fermentation

Step-by-step explanation:

The fact that the result of the reaction is alcohol should give it away, also because of the 2CO2

oh and you posted this in the math category buddy, next time classify it right (this is chemistry)

Answer:

5(x+8)

5x+8x

5x+40

6q+2+3q+5

9q+7

Answer:

1. 5x + 40

to get this answer i multiplied the 5 to the variables in the parenthesis

2. 9q +7

to get this answer i added the variables that were similar., one pair has q at the end and the other does not.

Answer:

The improper fraction of the shaded parts is 7/6.

Step-by-step explanation:

1 1/6 = 1/6 + 1/6 + 1/6+ 1/6 + 1/6 + 1/6 + 1/6 = 7/6

Answer:

1 1/6=1/6+1/6+1/6+1/6+1/6+1/6+1/6

3 hours, but must submit the exam no later than the closing time.

The browser displays a notification banner for tests that have a due date to inform students when the test will be marked as incomplete (30 minutes prior, 5 minutes prior, and 1 minute prior).

The browser displays a notification banner for quizzes that are about to auto-submit (using an Until date or the natural course finish date) to inform students of this (30 minutes prior, 5 minutes prior, 1 minute prior, and 10 seconds prior).3 hours, but must submit the exam no later than the closing time.

If students are unable to finish a timed quiz in the full permitted time, the browser will display a notification banner.

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The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.

These are due to the Doppler effect, the equation of frequency detected by the observer as

\(f_o = f_s\sqrt{\frac{1-\beta }{1+\beta } }\) where \(\beta = \frac{v}{c}\), v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.

Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

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Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

There are 4265526.78 milliliters in a pint

For us to have accuracy and avoid confusion in measurement, we need to convert one unit to another. For instance, we do not measure the length of a pencil in kilometres. In such a case, one has to convert kilometre (km) to centimetre (cm). For example 1000m makes 1km and 100cm makes 1meter

Since 946946946 mililiters equals 1 quart

and 1 quart equals 222pints

This means 222pints = 946946946 milliliters

Therefore 1 pint = 946946946/222

1 pint = 4265526.78 milliliters

Therefore there are 4265526.78 milliliterss in a pint.

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The composition of one or more rigid motions and a dilation is called a​ similarity transformation.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

The composition of one or more rigid motions and a dilation is called a​ similarity transformation.

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Answer:

\((x+1)(5x-4)(x-2)\)

Step-by-step explanation:

We know that (x+1) is a factor, so we can use synthetic division to factor it out of \(5x^3-9x^2-6x+8\).

Once factored, we get \((x+1)(5x^2-14x+8)\)

Now all we need to do is factor\((5x^2-14x+8)\)

\((5x^2-14x+8)=(5x-4)(x-2)\)

This gives us the answer \((x+1)(5x-4)(x-2)\).

p(x) as a product of its linear factors is:

\(p(x) = (x+1)(x-2)(5x-4)\)

The given polynomial is:

\(p(x) = 5x^3-9x^2-6x+8\)

The divisor = x + 1

The division expression can be written as:

\(\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8\)

Factorize \(5x^2-14x+8\)

\(5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)\)

Therefore, p(x) as a product of its linear factors is written as:

\(p(x) = (x+1)(x-2)(5x-4)\)

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Answer: a

Step-by-step explanation: go back to 1 grade (sorry)