2y + 4 = x + 2
Plz help solve for x in terms of y

The yearly decay factor of a certain quantity with a century decay factor of 0.4 is 0.984.

To find the yearly decay factor of a certain quantity with a century decay factor of 0.4, we can use the formula: Yearly decay factor = (Century decay factor)^(1/100). Substituting the given value, we get: Yearly decay factor = (0.4)^(1/100) ≈ 0.984. This means that the quantity will decay by approximately 1.6% each year.

In contrast to chemical reactions, the decay of a certain nucleus cannot be predicted and is unaffected by physical factors like temperature. There are two factors that affect the rate of isotope decay. The average number of undecayed nuclei in the system must double, as must the rate of decay for undecayed nuclei. the isotope's stability because some decay more quickly than others. The number of nuclei that decay per second is determined by the rate of decay.

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Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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Answer:

168

Step-by-step explanation:

= 2[3-{3(-9)(3)}]

= 2[3-{-81}]

= 2(84)

= 168

Hope it helps!!
BTW it was very easy...

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

By using the perimeter of the kite, we will see that the value of n is:

n = 23.25

We assume that the measures of the 4 sides of the kite are:

n + 3cm

n cm

n + 3cm

n + 3cm

So we have 3 equal sides and one shorter. And we know that the perimeter is equal to 102cm.

Then we can write the equation:

(n + 3) + n + (n + 3) + (n + 3) = 102

4n + 9 = 102

4n = 102 - 9 = 93

n = 93/4 = 23.25

The value of n is 23.25

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The simplified form of the expression y⁻³/4y⁶ is option B: - 1/4y⁹

An algebraic expression consists of unknown variables, numbers and arithmetic operators such as addition, subtraction, multiplication, division etc. Therefore, let's simplify the expression.

The simplified form of the expression y⁻³/4y⁶ is:

To simplify this expression, you can use the rule of simplifying the powers of a variable.

It can be done by:

Therefore, The final step is to simplify the coefficient, 1/4 is a fraction, but to make it simpler we can divide 1 by 4, getting -1/4

Thus option B is correct.

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Answer: Choice D) As the side length increases by 1, the area increases and then decreases by an equal factor

=============================================================

Explanation:

Choice A is ruled out because the area does change. As x changes, y changes as well. This rules out choice B as well.

Choice C is somewhat close. However, it's not entirely true since the area doesn't increase by the same amount. For instance, the jump from points (2,18) to (3,24) indicate that the jump in y value is +6. But going from (3,24) to (4,28) shows a jump of +4 in the y value. So we can rule out choice C.

This means that choice D is the final answer.

The standard deviation of the heights is 1.561 based on the given information.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

The z-score which separates the top 10% of a normally distributed

the population is 1.282.

The formula of the z-score is represented as:

z = (x - μ)/sd

As per the question, we have x = 40 and μ = 38

1.282 = (40-38)/sd

sd = 2/1.282

sd = 1/0.641

Apply the division operation, and we get

sd = 1.561

Thus, the standard deviation will be 1.561.

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The centroid of the rectangle R is {0,0}. To find the centroid of the rectangle R, we need to calculate the average value of x and y over the region R.

We can start by calculating SuperStar[x]:

SuperStar[x] = (1/Area[R]) * ∫∫[R] x dA

where Area[R] is the area of the region R.

Since R is a rectangle with side lengths of 6 and 4, we have:

Area[R] = 6*4 = 24

We can split up the integral for SuperStar[x] into two integrals:

SuperStar[x] = (1/24) * (∫[-3,3]∫[-2,2] x dy dx)

= (1/24) * (∫[-3,3] x dx * ∫[-2,2] dy)

The integral ∫[-3,3] x dx evaluates to 0 since x is an odd function over the interval [-3,3]. Therefore,

SuperStar[x] = (1/24) * (0 * 4) = 0

Next, let's calculate SuperStar[y]:

SuperStar[y] = (1/Area[R]) * ∫∫[R] y dA

Following the same procedure as before, we get:

SuperStar[y] = (1/24) * (∫[-3,3]∫[-2,2] y dy dx)

= (1/24) * (∫[-3,3] dx * ∫[-2,2] y dy)

The integral ∫[-2,2] y dy evaluates to 0 since y is an odd function over the interval [-2,2]. Therefore,

SuperStar[y] = (1/24) * (6 * 0) = 0

Thus, the centroid of the rectangle R is {0,0}.

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Answer:-61

Step-by-step explanation:

Answer:

2-3-7-9-6-7-8-6-5-7-7=-63

Step-by-step explanation:

Hope it helps!!!

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Answer:

25/16 or 1 9/16

Since it involves all values in the data-set, the measure most affected by outliers is given by:

A. the mean

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

The median is the 50th percentile, while the mode is the value that appears the most often in the data-set, that is, they do not involve outliers, only the mean does, hence option A is correct.

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Answer:

A. the mean

Step-by-step explanation:

i took the test

Answer:

Fdssawweerttyyyhjiokmnbvvffffdeewwsstttggytrf

Step-by-step explanation:

Yttfffrdeesdcxfftggvbred

Answer:

Yes, probability  (purple or red)=3/4

Step-by-step explanation:

12 beads

2 blue; 1 green; 3 purple => red=12-(2+1+3)=6

probability  (purple or red)=(3+6)/12=9/12=3/4

The distance that light travels in 12.3 nanoseconds is 37.9 meters.
What is speed?
Speed is the rate of change of an object's position relative to a given frame of reference. It is a scalar quantity, meaning it has both magnitude and direction. Speed is usually measured in meters per second (m/s) or kilometers per hour (km/h). Speed is an important factor in many activities, including travel, sports, and transportation.

This can be calculated by multiplying the speed of light (3.0 x 108 m/s) by the time (12.3 nanoseconds), which yields a result of 37.9 meters. This answer is rounded to the correct number of significant figures, which is two.

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The set of expressions that is NOT an example of the associative property is B. (8 - 2) + 3 and 8 + (-2 + 3).

The associative property states that the way you group numbers when adding or multiplying does not change the result. For example, (8 + 2) + 3 is the same as 8 + (2 + 3). However, the associative property does not apply to subtraction or division. Therefore, (8 - 2) + 3 is not the same as 8 + (-2 + 3).

Besides associative property, there are 3 other mathematical properties that only works on adding and multiplying. They are:

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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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Answer:

3 bc its facts

Step-by-step explanation:

no

Answer:

2:3

Step-by-step explanation:

Total problems=12+24=36

So since there are 24 division problems, 24:36 is the answer

But we must simplify it

So it is 2:3

Answer:

P(white ball)=0.29

Step-by-step explanation:

12 yellow balls

5 red balls

7 white balls

12+5+7=24

so 24 balls in the bag

\(\frac{7}{24}\)=0.2916

rounded to the nearest is 0.29

The least whole number possibility for the third side is 8 cm. The greatest whole number possibility for the third side is 22 cm.

A triangle is a three-sided polygon. It is a geometric shape that has three edges and three vertices. Triangles can be classified based on their side lengths (such as equilateral, isosceles, or scalene) or based on the angles between their sides (such as acute, right, or obtuse). Triangles are a fundamental shape in geometry and are used in many branches of mathematics and physics. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Using this rule, we can find the possible range of values for the third side of the triangle.

The least possible length of the third side would be:

8.5cm + 15cm - 15cm = 8.5cm

The greatest possible length of the third side would be:

(8.5cm + 15cm) - 1cm = 22.5cm

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Answer:D. y = 3/4x + 1

This liberal arts college has all students to study.

The correct option is B.

What Is a Liberal Arts College?

What's the difference between a liberal arts college and a regular college?

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Answer:

1) The volume of the frustum is 27·(√3)·h

2) The surface area the frustum is 24·h + 54·√3

Step-by-step explanation:

1) A frustum of the regular triangular prism is a portion of the triangular prism

The length of the edge of the triangle prism = 12

The area of the triangular face, A = (√3/4)·a²

∴ A = (√3/4)·12² = 36·√3

When

The volume of the triangular prism, V = A·h = (36·√3)·h

By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism =  (√3/4)·6² = 9·(√3)

The volume of the top half, V₂ = 9·(√3)·h

The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h

The volume of the frustum = 27·(√3)·h

2) The surface area of the triangular side of the frustum is given as follows;

A = 36·√3- 9·(√3) = 27·(√3)

The surface area the frustum, \(F_A\) = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3

The surface area the frustum = 24·h + 54·√3

By following these steps, you should be able to find the number of counties in Texas with childcare programs offering nighttime care for children.

To answer your question about how many of the 254 counties in Texas have child care programs that state they provide nighttime care for children, we would need to access current data on child care programs in Texas. Unfortunately, I do not have that specific data at the moment. However, I can guide you on how to find this information.
Begin by visiting the Texas Health and Human Services website (https://hhs.texas.gov) as they are responsible for overseeing child care licensing in the state. Look for information on licensed child care facilities that provide nighttime care.
Utilize websites such as Child Care Aware (https://www.childcareaware.org) or Child Care Finder (https://childcarefinder.com), where you can search for child care programs in Texas by county, and filter your search to include only programs offering nighttime care.
You may also want to check with local county websites or contact the County Clerk's office for information on child care programs within their jurisdiction, specifically those offering nighttime care.
Compile the data gathered from the above sources to determine how many of the 254 Texas counties have child care programs providing nighttime care for children.
By following these steps, you should be able to find the number of counties in Texas with child care programs offering nighttime care for children.

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Answer:

answer is x=5, not x=6

Step-by-step explanation:

I don't really understand how this is structured, but the correct way of solving this is

2(3x − 4) = 8 + 2x + 4

do distributive property.

6x - 8 =  8 + 2x + 4

subtract 2x on both sides.

you get...

4x - 8 = 12

add 8 on both sides.

4x =20

divide by 4

x = 5