a merchant places $1 in a jackpot on august 1, then draws the name of a regular customer. if the customer is present, he or she wins the $1 in the jackpot. if the customer is not present, the merchant adds $2 to the jackpot on august 2 and draws another name. each day the merchant adds an amount equal to the day of the month. if the first person to win the jackpot wins $496, on what day of the month was her or his name drawn?

Answer:

\( \frac{3 - 3}{20 - 19} = \frac{0}{1} = 0 = m \\ \frac{ - 4 - 7}{ - 6 - ( - 4)} = \frac{ - 11}{ - 2} = \frac{11}{2} = m \\ \frac{8 - ( - 13)}{17 - 17} = \frac{21}{0} = und\)

The average rate of change for this function for the interval from x=3 to x=5, as per linear equation is 16.

A linear equation is an equation that has one or multiple variables with the highest degree of the variable is 1.

The given interval is x = 3 to x = 5.

The corresponding value of y for the given value of x is y = 18 and y = 50 respectively.

Therefore, the change in the value of x is (5 - 3) = 2.

Change in the value of y is (50 - 18) = 32.

Therefore, the average rate of change for the function for the given interval is = \(\frac{32}{2}\) = 16.

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In order to find the value of the expression, first let's calculate the operations inside the parenthesis:

Then, calculating the exponential expression and after that the product, we have:

So the final value is 112.

To determine the minimum thickness of the iron, we need to calculate the diffusion flux of hydrogen through the iron and equate it to the maximum allowed hydrogen loss.

The diffusion flux (J) of hydrogen through a material can be calculated using Fick's first law of diffusion:

J = -D * (∆C/∆x)

Where:

J is the diffusion flux

D is the diffusion coefficient of hydrogen in iron

∆C is the difference in hydrogen concentration across the thickness (∆C = C1 - C2)

∆x is the thickness of the iron

We are given:

Maximum allowed hydrogen loss = 50 g/cm²/year

Temperature (T) = 400 °C (673 K)

Hydrogen concentration at surface 1 (C1) = 0.05 H atom per unit cell

Hydrogen concentration at surface 2 (C2) = 0.001 H atom per unit cell

First, we need to convert the hydrogen concentrations into a common unit. The atomic mass of hydrogen (H) is approximately 1 g/mol. The number of atoms in a unit cell for BCC iron is 2.

Concentration in g/cm³:

C1 = (0.05 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.025 g/cm³

C2 = (0.001 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.0005 g/cm³

Now, we can calculate the difference in hydrogen concentration across the thickness:

∆C = C1 - C2 = 0.025 g/cm³ - 0.0005 g/cm³ = 0.0245 g/cm³

Next, we need to determine the diffusion coefficient of hydrogen in iron at 400 °C. The diffusion coefficient can be estimated using the following equation:

D = D0 * exp(-Q/RT)

Where:

D0 is the pre-exponential factor

Q is the activation energy for diffusion

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin

For hydrogen diffusion in iron, typical values are:

D0 = 5 x 10^-7 cm²/s

Q = 40,000 J/mol

Plugging in the values:

D = (5 x 10^-7 cm²/s) * exp(-40000 J/mol / (8.314 J/(mol·K) * 673 K))

D ≈ 2.70 x 10^-12 cm²/s

Now, we can substitute the values into Fick's first law of diffusion and solve for the thickness (∆x):

J = -D * (∆C/∆x)

Rearranging the equation:

∆x = -D * (∆C/J)

Substituting the given values:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year))

Converting the year unit to seconds:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year)) * (1 year / 3.1536 x 10^7 s)

Calculating:

∆x ≈ -0.000347 cm ≈ 3.47 μm

The negative sign indicates that the thickness (∆x) is measured in the opposite direction of the hydrogen diffusion. Thus, the minimum thickness of the iron required to limit the hydrogen loss to no more than 50 g per year through each square cent.

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361 light bulbs out of the 755 will last over 1330 hours

Here, we want to calculate the expected number of bulbs

The first thing we have to do here is to calculate the z-score

We have this as follows;

Now, we have to calculate the probability that is equal to this z-score

So, the probability we want to calculate is that which is greater than the calculated z-score

We are going to use the standard normal distribution table here

By using the table, we have the equivalent probability as 0.47823 (about 48%)

So, out of the 755 freshly installed light bulbs, 47.823% will last more than 1330 hours

The exact number that will last will be;

Answer:

A tip for keeping the paper positioned at a 45 degree angle, until it becomes a habit, is to fold over the left hand lower corner of the paper for right-handed writers and the right hand for left-handed writers. The fold is then positioned so that it is parallel to the edge of the table closest to the child.

The answer is Relational operators, they are binary operators that evaluate the truthhood or falsehood of a relationship between any two arguments, and that produce  value of true (1) or false (0) as a result.

This is usually done by checking whether a variable is true or false. True values ​​are true values. For example Non-zero numbers, strings, and objects. Incorrect values ​​are the values ​​that correspond incorrectly. lets take 0, empty strings and undefined. By testing whether a variable is true or false, we can also determine whether it equals 1 or 0 without explicitly comparing it to 1 or 0.

This is a useful way to determine the value of a variable without having to write a comparison statement and useful way for determining the value of any variable without being written any comparison statement.

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A function must have one y-value for any given x-value.

Usually, if you see the same x-value in the x-column more than once, that's not going to be a function, because that usuall makes a single x-value pair with more than one y-value.

This would be NOT be a function, because x-value of 3 is paired with two different y-values.

x  |  y

3    7

4    8

3    9

6    7

Can you identify the function?

The most likely peptide segment to be part of a stable alpha helix at physiological pH would be option 3: pro-leu-thr-pro-trp. So, correct option is 3.

The stability of an alpha helix is influenced by several factors, including the propensity of the amino acid residues to adopt helical conformations and the presence of stabilizing interactions such as hydrogen bonding.

Proline (Pro) is known to disrupt helical structures due to its rigid cyclic structure, which introduces a kink and prevents the proper formation of hydrogen bonds. Option 1, which contains three consecutive glycines (Gly), may also hinder helix stability due to the absence of side chains that can participate in stabilizing interactions.

On the other hand, option 3 contains proline (Pro), leucine (Leu), and threonine (Thr), which have a relatively high propensity to form helices. Additionally, the presence of tryptophan (Trp) at the C-terminal end can contribute to stabilizing hydrophobic interactions within the helix.

While options 4, 5, 6, and 7 contain charged or aromatic residues, they may not provide the same level of stability as the combination of Pro, Leu, Thr, and Trp in option 3.

So, correct option is 3.

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Answer:

24

Step-by-step explanation:

Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

The constants that have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Elimination Method

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables

Both x term and y terms, choose x terms  and apply the elimination method

The coefficient of x in the first equation is 5 and 12 in the second equation

Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together. 2 and x; 6 and x are factors because they are being multiplied together. 2 from 2x and 6 from 6x are the coefficients because they are being multiplied by the variable.

To make it the same

Prime factorization

Prime factorization is a process of writing all numbers as a product of primes.

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and the second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Eliminated x term

The constants that we have to multiply to eliminate one variable from the system are 12 and 5

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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The next three terms of the sequence is 30 ,75 ,187.5.

The fundamental cοncepts in mathematics are series and sequence. A series is the tοtal οf all elements, but a sequence is an οrdered grοup οf elements in which repetitiοns οf any kind are permitted. One οf the typical examples οf a series οr a sequence is a mathematical prοgressiοn.

Here the given sequence's first term is 12.

Now the ratio between one term to next term is 2:5.

Then,

=> 2:5 = 12:x

=> \(\frac{2}{5}=\frac{12}{x}\)

=> x = \(\frac{12\times5}{2}\) = 6*5 = 30

Now to find next term using ratio then,

=> 2:5 = 30:x

=> \(\frac{2}{5}=\frac{30}{x}\)

=> x = \(\frac{30\times5}{2}\) = 75

Now to find next term using ratio then,

=> 2:5 = 75:x

=> x = \(\frac{75\times5}{2}\) = 187.5.

Hence the next three terms of the sequence is 30 ,75 ,187.5.

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Answer:

SA : 253.5

Step-by-step explanation:

2(6.5)(6.5) + 2(6.5)(6.5) + 2(6.5)(6.5)

84.5 + 84.5 + 84.5 = 253.5

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

The probability that a customer purchased popcorn, given that they purchased from stand B is 13.4%.

For the given question;

The data for the selling of the snack items at arena are given;

Snack Item    Hot Dogs  Nachos Popcorn Total Concession

Stand A          125            65          40           230

Stand B          218            119          52           389

Stand C          65             52          13             130

Total              408           236        105           749

Now the customer purchased the popcorn from stand B.

Thus, total number of snack at stand B = 389

Total number of popcorn at stand B = 52

Thus,

Probability = favourable outcome/total outcome

Probability = 52/386

Probability % = 52/386 × 100

Probability % = 13.4%.

Thus, the probability that a customer purchased popcorn, given that they purchased from stand B is 13.4%.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

64+angle CAD=90 degree(being right angle)

angle CAD=90-64

angle CAD=26

Step-by-step explanation:

Answer:

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Answer:

15

Step-by-step explanation:

1. Plug in the values.

q=10

p=-6

10÷2-(10)(-6)÷6

2. Use PEMDAS.

10÷2+60÷6

5+10

15

Answer:

Britta will accrue approximately $535.63 in interest during the 2.5-year non-payment period.

To calculate the interest accrued during the 2.5-year non-payment period, we can use the formula for simple interest:

Interest = Principal * Rate * Time

In this case:

Principal = $5,000 (the loan amount)

Rate = 4.29% (expressed as a decimal, 0.0429)

Time = 2.5 years

Plugging in these values into the formula, we have:

Interest = $5,000 * 0.0429 * 2.5

Calculating the interest, we get:

Interest = $535.63

Answer:DEFINITELY B

THE PROOF IS IN YOUR BIBLE

Step-by-step explanation:

Answer:

The answer is B. Large numbers of Africans were forcibly taken to the Americas during the slave trade.

I hope this helps and apologize for the other answers behavior.

We are asked to determine the arc length of HJ. To do that we will use the following formula:

Given two secant lines that intercept outside a circle as follows:

We have the following relationship:

Substituting the values we get:

Now, we multiply both sides by 2:

Now, we subtract 96 from both sides:

Solving the operations:

Now, we multiply both sides by -1:

Therefore, the measure of the arc length of HJ is 38.

Answer:

  2

Step-by-step explanation:

Fill in each function's argument and do the arithmetic.

  \(h(g(f(\sqrt{10})))=h(g(2(\sqrt{10})^2-7))=h(g(2\cdot 10-7))=h(g(13))\\\\=h(\dfrac{4-13}{9})=h(\dfrac{-9}{9})=h(-1)\\\\=\sqrt{-(-1)+3}=\sqrt{4}=\boxed{2}\)

Answer:

D

Step-by-step explanation:

\(\dfrac{\sqrt{4}}{\sqrt{25}}= \\\\\\\dfrac{2}{5}= \\\\\\0.4\)

Hope this helps!

Answer:

Answer is 154

Step-by-step explanation:

Answer:

(15, - 4 ) , (3, - 2 ) , (- 1, 0 )

Step-by-step explanation:

given a point (x, y ) on a function f(x) , then the corresponding point on the inverse function is (y, x )

given the points on g(x) , then the corresponding points on \(g^{-1}\) (x) are

(- 4, 15 ) → (15, - 4 )

(- 2, 3 ) → (3, - 2 )

(0, - 1 ) → (- 1, 0 )