Looking Ahead Vocabulary
28. The current of a river flows north at a constant rate. What is the constant in the
mathematical expression 3x + 5y +3?

Some examples of he most common types of retirement accounts are:

The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:

The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.

SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.

The advantages of the SEP IRA are:

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Answer:

130 is your answer

Step-by-step explanation:

hope this helps

Answer:

Answer: 40% of 130 is 52

Step-by-step explanation:

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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In the given figure, for Angle X and Angle Y to be equal, line AB and CD should be parallel.

Therefore, the answer is CHOICE 2 : The lines are parallel.

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Average quarter-hour share is 22.75%

Average quarter-hour share: Average Quarter-Hour Share is the percent of the total listening audience tuned in to each station. This estimate reveals the share of listening each station captures out of the total listening in the survey area.

in an average quarter hour, the total listening audience in green villa is 35,600 and the radio station clip has an average quarter hour listenership of 8,100

we have to find average quarter-hour share

Average quarter hour share = (AQH persons of a station/AQH persons of all station) * 100 = (8100/35600) *100 = 22.75%

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Answer:

F = (9/5 ×C) + 32

Step-by-step explanation:

Apply Change of subject

Divide both sides by 5/9

9/5 × C = F - 32

》F = (9/5 ×C) + 32

Answer:

Triangle ABC is similar to triangle EDF

Step-by-step explanation:

Make sure you don't write it in the wrong order

The condition for ∆ABC to be similar to ∆EDF is that; ∠B = ∠D

In the question, the ratio should be AB/DE = BC/FD = AC/ EF

We can also write the ratios of the corresponding sides as:

AB/ED = BC/DF = AC/FE

Therefore, ∆ABC is similar to ∆EDF

Thus, the corresponding angles would be, ∠B and ∠D.

And we know that corresponding angles are equal.

Thus, the condition for ∆ABC to be similar to ∆EDF is that;

∠B = ∠D

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Write an example from daily life that uses rational numbers .

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The expressions "5yA," "Y+Y+Y+Y+YB," "YxYxYxYxYC," and "Y(5)D" are not equivalent to "Y(1+1+1+1+1)." The latter expression represents the multiplication of "Y" by the sum of five "1"s, while the former expressions involve different operations or arrangements of "Y" and other characters.

The expression "5yA" does not have a clear meaning without additional context. It could be a combination of the number 5, the variable "y," and the letter "A," but it lacks an operation or defined relationship between these elements.

The expression "Y+Y+Y+Y+YB" represents the addition of five instances of "Y" and the letter "B." It does not involve multiplication or a sum of "1"s, making it different from "Y(1+1+1+1+1)."  

The expression "YxYxYxYxYC" suggests repeated multiplication of "Y" and "C." It does not involve the sum of "1"s, nor does it match the arrangement of elements in "Y(1+1+1+1+1)."

Lastly, "Y(5)D" represents the product of "Y" and "D" multiplied by 5. This expression does not include the sum of "1"s and has a different structure compared to "Y(1+1+1+1+1)."

In summary, the expressions "5yA," "Y+Y+Y+Y+YB," "YxYxYxYxYC," and "Y(5)D" are not equivalent to "Y(1+1+1+1+1)" as they involve different operations, arrangements, or elements altogether.

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Answer:

-340

Step-by-step explanation:

Hey there!

1 + 2 - 5 * 67 - 8

= 3 - 5 * 67 - 8

= 3 - 335 - 8

= -332 - 8

= -340

Therefore, your answer is: -340

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The domain and the range of the function in this problem are given as follows:

The function is defined for all real values except x = 3, which is the vertical asymptote, and assumes negative values, hence:

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The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

The following variables must be included in Z for the model to be dynamically complete: Zt-2, Zt-1, Zt, yt-2. Thus, the correct answer is (a), (b), (c), and (g).Explanation:According to the given information and model, for the model to be dynamically complete, it needs to include some variables in Z. To be precise, for a model to be considered as dynamically complete, all the past values should be included in Z. The given model is:y

= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up .Expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ.The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

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Answer:

√514, or 22.67

Step-by-step explanation:

Answer:

Proportional and h.200=g

Step-by-step explanation:

The test statistic is, -2.06.

What is test statistic?

A programme and any related documentation are examined during static testing, a type of software testing that does not call for the programme to be run. Software testing also includes dynamic testing, which involves interacting with the application as it is being used.

Given: Americans work less than 40 hours a week on average in 1977?

In 1977, the GSS included questions about the number of hours that the respondent worked per week.

The average number of hours worked per week was 34. 61 hours with a standard deviation of 14. 77 hours.

A sample of 32 respondents was questioned.

So, the test statistics is,

Z = (x bar - μ)/(σ /√n)

 = (34.61 - 40)/(14.77/sqrt(32))

Z = -2.06

Hence, the test statistics is -2.06.

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Answer:

Data that we know:

He drove 504km in each direction.

Going, the average speed was 14km/h more than returning.

The total trip lasted 21 hours.

Ok, to solve this first:

Let's define the variables:

Sg = Average speed when going.

Sr = Average speed when returning.

Then we can write one of our relationships as:

Sg = Sr + 14km/h.

Now, you can recall the relation:

Time = Distance/speed.

Then we can write the equation that represents the total time of the travel as:

504km/Sg + 504km/Sr = 21h

Now we can replace the Sg by Sr + 14km/h, and get:

504km/(Sr + 14km/h) + 504km/Sr = 21h.

Now we must multiplacate by each denominator, in order to remove them:

504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)

Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr

Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:

21*Sr^2 -714*Sr - 7056 = 0

The solutions are given by the Bhaskara formula:

\(Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21} = \frac{714 +- 1050}{42}\)

We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:

Sr = (714 + 1050)/42  km/h = 42km/h

Now we have the average speed for the returning, with this we can find Sg.

Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.

The total score of Joseph for four days of the tournament is -4 .

Joseph had the following scores for a four-day tournament,

For the first day i.e., day 1 of the tournament the total score is -1 . For the second day i.e., day 2 of the tournament the total score is 2 . For the third day i.e., day 3 of the tournament the total score is -2 . For the fourth day i.e., day 2 of the tournament the total score is -3 .

To calculate the total score of four days of the tournament we need to add the score of first, second, third and fourth day.

The total score of four days of the tournament = ( -1 ) + ( 2 ) + ( -2 ) + ( -3 )

The total score of four days of the tournament = -4

The total score of Joseph for four days of the tournament is -4 .

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Using the property of similar triangles, we found that the value of n is 5.

This is the length of the side RQ.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

The given triangles are both right triangles.

So they can be considered similar triangles.

One of the properties of similar triangles is that the ratio of corresponding sides is always equal.

Then we can write for the given triangles,

  BA/RQ = AC/QS

 2/n = 4/10

n = 2 * 10 / 4 = 5

Therefore using the property of similar triangles, we found that the value of n is 5.

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Answer:

114

Step-by-step explanation:

if Harry by the TV priced at 1200 euros plus 20% of 18 rupees 300 deposit and then balancing 10 equal monthly payments calculate each monthly payment therefore we get to have you at the 20% be at that adds up to 14:40 and then subtract the 300 deposit that he made you remind me the balance of 1140 there for 10 months how much will he have paid each month iis 114

Answer:

4; Shari ran past her home after 4 minutes.

Step-by-step explanation:

The x-intercept means that at 4 minutes the distance from home in blocks on her run across town over time is zero.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

6x - 3y = 24

x-intercept means y = 0.

So,

6x - 3 x 0 = 24

6x - 0 = 24

6x = 24

x = 4

Now,

The x-intercept means at 4 minutes the distance from home is o.

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The measure of the inscribed Angle ACB is (31/360) × πr

Inscribed angles and central angles are two different kinds of angles in a circle. Both angles share the same vertex and endpoints, but their position differs.

Inscribed angles are the angles formed from two intersecting chords in a circle, whereas central angles are the angles whose vertex is the center of the circle and whose endpoints lie on the circle. These two kinds of angles have a special relationship, which can be explained using the Central Angle Theorem.

Let's look at how to use the Central Angle Theorem to solve this problem. Here is the diagram of the given problem: Inscribed Angle and Central Angle

The Central Angle Theorem states that the measure of a central angle is twice the measure of its corresponding inscribed angle. It means that if you know the measure of a central angle, you can find the measure of the inscribed angle. The inscribed angle and the central angle both have the same intercepted arc, so the measure of the inscribed angle is half the measure of the intercepted arc.

To find the measure of the inscribed angle ACB, we need to find the measure of the intercepted arc AB first. Using the formula for finding the measure of an arc, which is: measure of arc = (central angle/360) × 2πrWe can find the measure of the intercepted arc AB as follows:

measure of arc AB = (62/360) × 2πr Note that we don't know the radius of the circle, so we can't find the exact measure of the arc. However, we don't need to know the exact measure of the arc to find the measure of the inscribed angle. We only need to know that the measure of the arc is twice the measure of the inscribed angle ACB. Therefore, we can write: measure of inscribed angle ACB = (1/2) × (measure of arc AB)measure of inscribed angle ACB = (1/2) × (62/360) × 2πrSimplifying this expression, we get: measure of inscribed angle ACB = (31/360) × πr

Hence, the measure of the inscribed angle ACB is (31/360) × πr.

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Answer:

25/9 = 2 7/9 = 2.7777777778

Step-by-step explanation:

The value of n in the given expression is 4.

Given that an expression 8⁹ = 8ⁿ·8⁵ we need to find the value of n,

So,

8⁹ = 8ⁿ·8⁵

8⁹/8⁵ = 8ⁿ

8⁽⁹⁻⁵⁾ = 8ⁿ

8ⁿ = 8⁴

n = 4

Hence the value of n in the given expression is 4.

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The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

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The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.

The correct option is A: (-2, 2).

To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.

Let's test each ordered pair:

A: (-2, 2)

For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)

For y > x: 2 > -2 → 2 > -2 (True)

B: (1, 1)

For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)

For y > x: 1 > 1 → 1 > 1 (False)

C: (0, 0)

For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)

For y > x: 0 > 0 → 0 > 0 (False)

D: (-1, -1)

For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)

For y > x: -1 > -1 → -1 > -1 (False)

From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).

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The complete question:

Which ordered pairs make both inequalities y < -x + 1 and y > x true?

A: (2, 2)

B: (1, 1)

C: (0,0)

D: (-1, -1)

The angle x of the isosceles triangle is 64 degrees.

The side and angle of the similar polygon are 7.5 units and 20 degrees.

The triangle above is an isosceles triangle. An isosceles triangle is a triangle that has 2 sides equal to each other and two angles equal to each other.

Therefore, the base angle of the isosceles triangle are equal.

Hence,

52 + x + x = 180

52 + 2x = 180

2x = 180 - 52

2x = 128

x = 128 / 2

x = 64 degrees

Similar polygons are two polygons with the same shape, but not the same size.  Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional.

Therefore, let's find x and y in the polygon.

x / 5 = 6 / 4

cross multiply

4x = 30

x = 30 / 4

x = 7.5

y - 73 = 360 - 90 - 61 - 116

y - 73 = 93

y = 93 - 73

y = 20

Therefore, the angle x of the isosceles triangle is 64 degrees and the sides x of the polygon is 7.5 units and the angle y of the polygon is 20 degrees.

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Answer:

Step-by-step explanation:

100 + 100 + 100 + 10 + 10 + 10 + 10 + 5

The question is primarily asking you to use the terms given to get the number given. As there is no rule written for this one, it is easier. Usually, or later on, they may give you a sequence in which you will plug in terms to obtain the results. In cases like that, you must remember to follow PEMDAS.

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

~

Answer:  10 × 3 + 4 + 5 × 2 + 1 + 3 × 100

Step-by-step explanation:

10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

Using PEMDAS, multiply first ... then add/subtract.

30 + 4 + 10 + 1 + 300 = 345

      34 + 10 + 1 + 300 = 345                  

              44 + 1 + 300 = 345

                   45 + 300 = 345      

                           345 = 345            

Answer:

6, I believe?

Step-by-step explanation:

300/6=50

750/6=125, and

900/6=150, so I think it's 6 bracelets, if i'm wrong you can call me dumb.

Indira can make the 150 maximum number of bracelets.

Given that, Indira has 300 blue beads, 750 red beads and 900 silver beads.

We need to find what is the maximum number of bracelets she can make with these beads.

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.

Now, 300=2×2×3×5×5

750=2×3×5×5×5

900=2×2×3×3×5×5

So, GCF of 300, 750 and 900=2×3×5×5=150

Therefore, Indira can make the 150 maximum number of bracelets.

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