Patterns A and B are generated using these rules.



Pattern A: Start with 12 and add 6.


Pattern B: Start with 4 and add 2.


Which statement best describes the relationship between the corresponding terms of Pattern A and Pattern B?




Each term in Pattern A is 13 of the value of the corresponding term in Pattern B.




Each term in Pattern A is 3 times the value of the corresponding term in Pattern B.




Each term in Pattern A is 4 more than the value of the corresponding term in Pattern B.




Each term in Pattern A is 8 more than the value of the corresponding term in Pattern B

Answer: is 48 eggs .

Step-by-step explanation:

3 hens gives 3 eggs in 3 days

Therefore , 1 gives 1 egg in 3 days

So

3days = 1egg

After that 12 days\/3 times = 4 eggs (in 12 times )

So 1 hen offers 4 eggs in 12 days after that

12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)

Fritz et al. (2019) conducted an experimental study where high school students were randomly assigned to either write weekly gratitude letters or list their daily activities each week.

The study conducted by Fritz et al. (2019) involved randomly assigning high school students to either write weekly gratitude letters or list their daily activities each week. To determine the type of study conducted, we need to consider the answer choices: correlational, naturalistic, experimental, and observational.
In this case, the study can be classified as an experimental study. This is because the researchers assigned participants to specific conditions (gratitude letters or daily activity lists) and observed the effects of these conditions on the participants' outcomes.

By randomly assigning the participants to the different groups, the researchers aimed to minimize any pre-existing differences between the groups, making it possible to draw causal conclusions about the impact of the intervention (gratitude letters or daily activity lists).
In conclusion, Fritz et al. (2019) conducted an experimental study where high school students were randomly assigned to either write weekly gratitude letters or list their daily activities each week.

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The sum of any two integers is always another integer. The set of integers is closed under the addition operation.

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Integers are closed under addition because the sum of any two integers is always another integer and belongs to the set of integers, the set of integers is closed under the addition operation.

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Answer:

2 more quarts of oil is needed to fill

the engine to capacity

Step-by-step explanation:

Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity

We have to convert the capacity to quarts

Mathematically, 1 gallon = 4 quarts

So 1 1/4 gallon will be 5/4 * 4 = 5 quarts

So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts

A standardized test  is any test that is usually commercially produced and requires a common set of administration and scoring procedures.

A standardized test serves as a test that   requires all test  the participant to answer the same questions.

In this test there  is usually a  selection of questions from common bank of questions there is usually a  “standard” or consistent  way of assessment.

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The answer to your question is that the random variable x represents the index of the first occurrence of a success domain (i.e., y with value 1) in the sequence of Bernoulli random variables.

let's break down the components of the question. A Bernoulli random variable is a type of discrete probability distribution that represents the outcome of a single binary event (e.g., success or failure). In this case, each yi is a Bernoulli random variable, which means it can take on one of two possible values: 1 (success) or 0 (failure).

The random variable x is defined as the index of the first occurrence of a success in the sequence of yi random variables. For example, if y1 = 0, y2 = 1, y3 = 0, y4 = 0, y5 = 1, then x would equal 2, since y2 is the first yi with a value of 1. To calculate the value of x, we need to examine each yi in the sequence until we find the first success. Once we find the first success, we record the index of that yi as the value of x and stop examining subsequent yis. This means that x can only take on integer values from 1 to infinity (since there may be no successes in the sequence).

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Answer:

Step-by-step explanation:

This number is much larger than 1. You need to start at the decimal and move left (that's how scientific notation works for numbers larger than 1.)

So the answer is 1.0054 * 10 ^7

The person doing this started at the 1 and moved right until he/she hit the decimal. Wrong direction.

The count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in \(p \times q\)  ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the given case, there are 4 digit locks, each of them can be from {1,2,3,4,5,6,7,8,9}

So each one has 9 options to choose from.

Thus, using the rule of product, we get the total possible personal identification numbers  as: \(9 \times 9 \times 9 \times 9= 6561\)

Thus, the count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

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The probability that every team loses at least one game and wins at least one game is \(\frac{903}{1024}\).

Let’s label the 8 teams as A, B, C, D, E, F, J, H.

First, we determine the total number of games played.

Because of every pair of teams plays exactly one game, so every team plays 7 games (one against each of the other 7 teams). And there are 8 teams, so it seems as if there are 8 x 7 = 56 games, except that every game has been counted twice in this total. So, there are in fact \(\frac{8.7}{2}\)= 28 games played.

Because of there are 28 games played and there are 2 equally likely outcomes for every game, so there are \(2^{28}\) possible combinations of outcomes.

To find out the probability that every team loses at least one game and every team wins at least one game, we determine the probability that there is a team that loses 0 games or a team that wins 0 games and subtract this probability from 1.

And because we know that the total number of possible combinations of outcomes, we determine the probability by counting the number of combinations of outcomes in where there is a team that loses 0 games or a team that wins 0 games, or both.

To find out the number of combinations of outcomes in where there is a team which wins all of its games, we mark that there are 8 ways to choose this team. Once a team is chosen (we call this team X), the results of the 7 games played by X are determined (X wins all of these) and the outcomes of the remaining 28 − 7 = 21 games are undetermined.

And because of there are two possible outcomes for each of these 21 undetermined games, so there are 8 x \(2^{21}\) combinations of outcomes in which there is a team that wins all of its games. Similarly, there are 8 x \(2^{21}\) combinations of outcomes in which there is a team that loses all of its games.

Now, we note that there might be combinations of outcomes that are involved in both of these counts. There might be combinations of outcomes in where there is a team that wins all of its games and in where there is a team that loses all of its games.

Since this total has been included in both sets of 8 x \(2^{21}\) combinations of outcomes, we have to determine this total and subtract it once to leave these combinations included exactly once in our total.

To determine the number of combinations of outcomes in this case, we choose a team (X) to win all of its games and a team (Y) to lose all of its games.

Once X is selected, the outcomes of its 7 games are all found (X wins).

Once Y is selected, the outcomes of its 6 additional games are all found (Y loses these 6 games plus the game with X that has already been found).

The outcomes of the remaining 28 − 7 − 6 = 15 games are undetermined.

Therefore, the number of combinations of outcomes is 8 x 7 x \(2^{15}\) since there are 8 ways of choosing X, and then 7 ways of choosing Y (any team but X), and then \(2^{15}\) combinations of outcomes for the undetermined games.

So, there are 8 x \(2^{21}\) + 8 x \(2^{21}\) − 8 x 7 x \(2^{15}\) combinations of outcomes in where either one team loses 0 games or one team wins 0 games (or both).

Accordingly, the probability that one team loses 0 games or one team wins 0 games is

\(\frac{8.2^{21} + 8.2^{21} - 8.7.2^{15} }{2^{28} }\\\) = \(\frac{2^{15} (8.2^{6} + 8.2^{6} - 8.7)}{2^{28} }\) = \(\frac{2^{3} . 2^{6} + 2^{3} . 2^{6} - 2^{3} . 7}{2^{13}}\) = \(\frac{2^{6} + 2^{6} - 7}{2^{10}}\)

It means that the probability that every team loses at least one game and wins at least one game is 1 − \(\frac{64+64-7}{1024}\) = 1 − \(\frac{121}{1024}\) = \(\frac{903}{1024}\).

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The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of  the mixing ratio

The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.

Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.

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There are 450 ways a person can order a two-course meal consisting of an appetizer and a main course according to the counting principle.

The fundamental of counting principle defines that if we have to choose one item from a group of M items and a second item from another group of N items, then the total number of two item choices is

                              M*N

Here we have been given that there are 15 appetizers and 30 main courses that is according to the fundamental of counting principle we have been given

M = 15     and N = 30

Thus the total number of two-course meal is = M*N

                                                                                = 15*30

                                                                                = 450

Hence there are 450 ways a person can order a two-course meal consisting of an appetizer and a main course.

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Answer: 25

Step-by-step explanation:

The equation which matches the graph is y = 6x. The solution has been obtained by using the substitution method.

What is the substitution method?

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

We are given a graph depicting a proportional relationship.

In the graph, the coordinates are (1, 6); (2, 12) and (3,18).

Now by substitution we will find the equation which matches the graph.

A. y = 12x

6 ≠ 12 (1)

6 ≠ 12

So, this equation does not matches the graph.

B. y = 6x

6 = 6 (1)

6 = 6

Similarly,

12 = 6*2

12 = 12

So, this equation matches the graph.

C. y = x

6 ≠ 1

So, this equation does not matches the graph.

D. y = \(\frac{1}{6}\)x

6 ≠ \(\frac{1}{6}\) (1)

6 ≠ \(\frac{1}{6}\)

So, this equation does not matches the graph.

Hence, the second equation matches the graph.

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Answer:

The Graphs are in the picture below. ⬇️

On solving the linear equations -2x - 7 = -3y and 4x + 3y = -3 the value of x is obtained as -5/3 and the value of y is obtained as 11/9.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The first linear equation given is - -2x - 7 = -3y

The second linear equation given is - 4x + 3y = -3

To solve the system of equations, multiply equation (1) by 2 -

2(-2x - 7) = -3y × 2

-4x - 14 = -6y

-4x + 6y = 14....(3)

Add equations (2) and (3) -

4x + 3y + (-4x + 6y)  = -3 + 14

4x + 3y + -4x + 6y  = -3 + 14

9y = 11

y = 11/9

Substitute the value of y in equation (1) -

-2x - 7 = -3(11/9)

-2x - 7 = -33/9

-2x - 7 = -11/3

Combine all the like terms -

-2x = -11/3 + 7

-2x = (-11 + 21)/3

-2x = 10/3

Multiply (-2) in the denominator -

x = 10/(3 × -2)

x = 10/-6

x = -5/3

Therefore, the values of x and y are x = -5/3 and y = 11/9.

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The brand the girls should choose is brand A. The monthly rental fee the girls would pay is $63.41.

Which options offer the lowest upfront fee?

In order to determine the upfront fee for both options, divide the 12 month fee for each option by 12 and the 24 month fee by 24.

Option A: 12 month fee = 798.95 / 12 = 66.58

24 month fee = 1521.95 / 24 = 63.41

Upfront fee = 66.58 - 63.41 = 3.17

Option B: 12 month fee = 794.10 / 12 = 66.18

24 month fee = 1511.10 / 24 = 62.96

Upfront fee = 66.18 - 62.96 = 3.22

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Answer:

Step-by-step explanation:

12 ≤ t ≤ 25

t ≤ 13 miles

Answer: 6.7 yearsn

Step-by-step explanation:

Answer:

The slope is 2 and the y intercept is 6

Step-by-step explanation:

y = 2x+6

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is 6

Answer:

2

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

y = 2x + 6

m = 2

Slope is 2

It would be

D. The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is arounf 60.

Step-by-step explanation:

Length (L) = 2 cm

Breadth (b) = 2 / 3 cm

Area of the rectangle

= L * b

= 2 * 2/3

= 4/3 cm²

Hope it will help :)❤

There are approximately 2.97 billion droplets per acre being sprayed.

To calculate the number of droplets per acre, we need to first convert the diameter of the droplets from microns to inches (since we are using acres as our unit of area). There are 25,400 microns in one inch, so the diameter of the droplets in inches is 250/25,400 = 0.0098 inches.

Next, we need to calculate the area of one droplet. The formula for the area of a circle is A = πr², so the area of one droplet is A = π(0.0049)² = 0.0000754 square inches.

Finally, we can calculate the number of droplets per acre by dividing the total area of one acre (43,560 square feet) by the area of one droplet: 43,560 / 0.0000754 = 2.97 billion droplets per acre.

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Answer:

53 is the correct answer

Step-by-step explanation:

Your error is the first step

for x = 3

(3x)² = (3 * 3)² = 9² = 81

The actual distance between Seward and Anchorage is 131.2 miles.

"Distance is the total movement of an object without considering its direction."

1 mile = 63360 inches

For given question:

A map of Alaska has a scale of 1 : 4,750,000

The distance between Seward and Anchorage is 1¾ inches.

\(1\frac{3}{4} = 1.75\) inches

The actual distance between Seward and Anchorage is,

\(1.75 \times 4750000\)

\(= 8312500\) inches

\(\approx131.2\) miles

Hence, the actual distance between Seward and Anchorage is approximately 131.2 miles.

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Answer:

need points

Step-by-step explanation:

is this a question

............. maybe

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

The volume of the region that is between the ry-plane and

f(x, y) = y + e^x

= 4 - 3e^2.

and above the triangle with the vertices (0,0), (2,0), and (2, 2)

The region can be visualized in the following diagram:

Volume of the region between the ry-plane and

f(x, y) = y + e^x

and above the triangle can be calculated using the following double integral:

∬T (f(x, y) - 0) dA,

where T is the triangle with vertices (0,0), (2,0), and (2, 2).

Using the above integral we get:

∫02 ∫0yx + e^ydydx + ∫22 ∫0(2 - x + e^y) dydx,

this becomes equal to

∫02 ∫0yx + e^ydydx + ∫22 [y* (2 - x) + e^y(2 - x) - e^y] dydx.

Integrating with respect to y we get,

∫02 ∫0yx + e^ydydx + ∫22 [y^2/2 + e^y(2 - x) - e^y * y]

limits from y = 0 to

y = x dx + ∫22 [y^2/2 + e^y(2 - x) - e^y * y]

limits from

y = x to y = 2

dx= ∫02 ∫0x + e^ydydx + ∫22 [(2 - x) * (2 - x)/2 + e^x(2 - x) - e^x * x - x^2/2 - e^x * x + e^x * 2] dx.

Solving the integral we get:

∫02 ∫0x + e^ydydx + ∫22 [- x^2/2 + 2xe^x - (5/2)e^x + 2] dx

= ∫02 [(x + xe^x - (5/2)e^x + 2x^2/2)]

limits from x = 0 to x = 2

dx = [(2 + 2e^2 - 5e^2 + 2*2^2/2)] - [(0 + 0 - 0 + 2*0^2/2)]

= 2 + 2e^2 - 5e^2 + 2

= 4 - 3e^2.

Thus, the volume of the region is 4 - 3e^2.

Hence, the required volume is 4 - 3e^2.

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