For the period from 1980 through 2009, in which year
was alcohol use by seniors at a maximum? Estimate the
percentage of seniors who used alcohol in that year

Answer:  The population decreased at a rate of approximately 1% per year.

Step-by-step explanation:

Answer:

it is 74389

Step-by-step explanation:

you do 74 + 094904

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

\(\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910\)

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\(\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320\)

A graph that represents the solution set of the compound inequality is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given compound inequality by making x the subject of formula as follows;

x + 3 < 1/2(4x - 12) < 20

Multiplying all through by 2, we have the following:

2x + 6 < 4x - 12 < 40

Next, we would solve the compound inequality in parts:

2x + 6 < 4x - 12

4x - 2x < 12 + 6

2x < 18

x < 18/2

x < 9.

4x - 12 < 40

4x < 40 + 12

4x < 52

x < 52/4

x < 13.

In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).

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Answer: Choice B

\(x+5y = 11\\4x-6y = -3\)

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

Explanation:

The given matrix is

\(\left[\begin{array}{cc|c}1&5&11\\4&-6&-3\end{array}\right]\)

The numbers to the right of the vertical bar represent the values on the right hand side of each equation in the final answer.

The numbers to the left of the bar represent the x and y coefficients of the equations. The first number of any given row is the x coefficient. The second number is the y coefficient.

For instance, the first row has \(\begin{array}{cc}1&5\end{array}\) to indicate the x coefficient is 1, and the y coefficient is 5. We end up with 1x+5y or simply x+5y. Putting everything together, the first equation would be x+5y = 11

Through similar steps, the second equation is  4x-6y = -3

Answer: No. 8 is a factor of 16, but not a factor of 36.

Step-by-step explanation:

i-Ready

Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)

Answer:

x=12 , y= 49

Step-by-step explanation:

X= 180 - (90+78)= 12

180-(90+41)= 49

y=49 (isosceles triangle)

Answer:

None

Step-by-step explanation:

i just took the test

Answer:

None

Step-by-step explanation:

I took the test and I got it correct

The regression equation to predict the head circumference of a child who is 24.25 inches tall y=17.20 inches

The regression line with the least squares

y = 0.1827*x + 12.4932

Children that are 25.25 inches tall should have a mean head circumference that we can anticipate.

Let x = 25.75

y is thus equal to 0.1827*25.75 plus 12.4932.

b) The mean head circumference of kids who are 25.25 inches tall falls within the 95% confidence interval of

The Mean of the head circumference is 17.327, the standard deviation is 0.219, there are 11 participants, and there are 10 participants in step c.

y = 0.1827*x + 12.4932

The head circumference of a youngster who is 25.25 inches tall must be predicted.

Let x = 25.75

y is thus equal to 0.1827*25.75 plus 12.4932.

y=17.20 inches.

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The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

what do you need?

Step-by-step explanation:

Answer:

The first is

Basketball : 2

Football :0

Nd da 3rd one (donno da name) : 4

Step-by-step explanation:

Please mark as brainliest

Answer:

Step-by-step explanation:

Step 4)   AW  = PW

Step 5) ΔAWB  ≅ ΔPWR                      {A A S}

Step 6) RW ≅ BW                     {corresponding sides of congruent triangles are congruent}

If we have a conditional that is "If p, then q", the contrapositive is "If not q, then not p".

In this case p is "Toby not eating corn" and q is "he is not hungry". They are already written in negative terms, so the contrapositive will have positive terms for the hypothesis and conclusion.

Then, "not q" is "he is hungry" and "not p" is "Toby is eating corn" ("he" and "Toby" are interchangeable as they refers to the same person).

Then, we write the contrapositive as:

"If Toby is hungry, he is going to eat corn"

Its the second because i did this already

The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.

SSS stands for Side-Side-Side, which is a congruence criterion in geometry. It states that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

To explain why the triangles in each pair are congruent using SSS:

Pair 1:

Triangle ABC and Triangle DEF are congruent because they have the same lengths for all three sides.

AB = DE

BC = EF

AC = DF

Pair 2:

Triangle PQR and Triangle STU are congruent because they have the same lengths for all three sides.

PQ = ST

QR = TU

PR = SU

The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

By using trigonometric relations, we will see that the angle that the ladder makes with the ground is 64.2°, so we conclude that the ladder is safe.

Notice that the ladder makes a right triangle with the wall.

Such that the hypotenuse (the ladder itself) measures 15 ft, and one of the catheti (distance between the ground and top of the ladder) measures 13.5ft

If we considerate the angle that the ladder makes with the ground, the known cathetus is the opposite cathetus.

Then we can use the relation:

sin(x) = (opposite cathetus)/(hypotenuse)

Then:

sin(x) = (13.5ft)/(15ft)

If we use the inverse sine function on both sides, we get:

Asin(sin(x)) = Asin( 13.5ft/15ft)

x = Asin(13.5/15) = 64.2°

So the angle is less than 75°, which means that in fact, the ladder is safe.

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Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

To answer these questions, I would need more information about the population being referred to. Specifically, I would need to know the number of residents who have only completed high school and are under age 50, as well as the total number of residents who have only completed high school. I would also need to know the number of residents aged 20-29 who have completed only high school or just some college, as well as the total number of residents aged 20-29.

Do you have this information available?

The binary search tree for the given words (lust gluttony greed sloth wrath envy pride) can be seen as attached.

Running the Python code referenced the attached binary search tree will produce results as follows:

value: envy, count: 1

value: gluttony, count: 1

value: greed, count: 1

value: lust, count: 1

value: pride, count: 1

value: sloth, count: 1

value: wrath, count: 1

search lust, result: (1, 1)

search gluttony, result: (2, 1)

search greed, result: (3, 1)

search sloth, result: (2, 1)

search wrath, result: (3, 1)

search envy, result: (3, 1)

search pride, result: (3, 1)

The binary search tree is an advanced algorithm used for analyzing the node, its left and right branches, which are modeled in a tree structure and returning the value. The binary search tree is devised on the architecture of a basic binary search algorithm; so, it enables faster lookups, insertions, and removals of nodes.

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The answer will be slope is -5 and intercept is -2

What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
y +2 = (-5/1)xy = -5x -2So the slope is -5 and intercept is -2
We know that formula two find the slope of the line joining two points.

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Answer: 69

Step-by-step explanation:

420 - 351  = 69

Answer:

6 un

Step-by-step explanation:

2 22= 6

Answer:

1

Step-by-step explanation:

2devided

by 2 =1

Answer:

D - (-2)^2 does not equal to -4

Step-by-step explanation:

√-4 does not equal -2 because if you try squaring -2 you will get 4 not -4, because 2 negative number makes it a positive.

For example

-2 x -2 - There are two negative numbers, so it should equal...

4

Answer:

None

Step-by-step explanation:

They are the same number

They are equal and neither is greater than the other.

In the decimal number system, trailing zeros after the decimal point do not affect the value of the number. They are considered insignificant and are not used to determine the magnitude or comparison of the numbers.

When comparing 3.75 and 3.750, it's important to understand that they represent the same value. The digits after the decimal point in both numbers are identical. The presence of the trailing zeros in 3.750 does not change the actual value of the number; it's just a different representation.

To illustrate this, let's consider the number line:

3.749  <  3.7499  <  3.74999  <  3.75  =  3.750  <  3.7501  <  3.75001  <  3.751

As you can see, both 3.75 and 3.750 lie at the same point on the number line, indicating that they are equal in value. The trailing zeros in 3.750 are insignificant and do not affect the magnitude or comparison of the numbers.

Therefore, in terms of their numerical value, 3.75 and 3.750 are equivalent and not different from each other.

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Complete question is:

Which is greater 3.75 or 3.750.

The equivalent expression is negative eleven sixths times n minus one twelfth. Option C

Algebraic expressions are expressions that comprises of variables, terms, constants, coefficients and factors.

They are also made up of arithmetic operations such as division, multiplication, addition, subtraction, bracket, etc.

Equivalent expressions are expressions with the same solution but different arrangement of elements.

Given the expression

{ -3 1/3n + 1/6} + { 1 3/6n - 3/12 }

expand the bracket

-3 1/3n + 1/6 + 1 3/6n - 3/12

collect like terms

-10/3n + 1/6 + 9/6n - 3/12

-10/3n + 9/6n + 1/6 - 3/12

find the lowest common multiple

-20n + 9n/6 + 2 - 3 /12

-11n/6 - 1/12

Thus, the equivalent expression is negative eleven sixths times n minus one twelfth. Option C

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Answer:

When 2 coins are tossed, the possible outcomes can be {HH, TT, HT, TH}. Thus, the total number of possible outcomes = 4 Getting only one head includes {HT, TH} outcomes. So number of desired outcomes = 2

Step-by-step explanation:

hope this heps :)