Suppose you had to decide between an apartment that cost $800/month for a month-to-month contract, or $650 for an annual contract. The annual contract includes a 2- month early termination penalty if you leave before 12 months

Population of ants is 10,000 at the start of April. since then, it triples each month. Now, the calculated values become -

a) Table is complete below.

b) Notice that in every month there is an increase of 3 times population from month to month.

c) There are 8,10,000 ants in 4 months from April.

d) In the month of 6, there are 72,90,000 no. of ants.

A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population in statistics is the group of people from which a statistical sample is taken for a research.

Month since April                                   Number of Ants

         0                                                         10,000

         1                                                         30,000

         2                                                         90,000

         3                                                        270,000

         4                                                         810,000

Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.

0 months from April = 10,000 × 1 = 10,000 ants

1 month from  April = 10,000 × 3 = 30,000 ants

2 months from April = 30,000 × 3 = 90,000 ants

3 months from April = 90,000 × 3 = 2,70,000 ants

4 months from April = 270,000 × 3 = 8,10,000 ants.

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[tex]y = 5(3) {}^{x} [/tex]

The zeros of function f(x) = x2 - 5x + 6 are 3 and 2.

We can calculate the zeros of a polynomial using the quadratic equation.

The equation is:

x = [-b ± √(b2 - 4ac)] ÷ (2a)

In this case,

a = 1,

b = -5, and

c = 6.

Substituting these values into the equation, we get:

x = [-(-5) ± √((-5)2 - 4(1)(6))] ÷ (2(1))

Simplifying further, we get:

x = [5 ± √1] ÷ 2

Finally, we get:

x = 3 and 2

Therefore, the zeros of function f(x) = x2 - 5x + 6 are 3 and 2.

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By examining the function's graph, there are four alternative techniques to decide if a limit is there.

1. if the graph has a hole in the line with a point for that value of x on a different value of y, then the limit DOES exist.

2. The limit still exists if there is a gap in the graph at the value that x is nearing and no other point for a different value of the function.

3. The limit does not exist if the graph exhibits a vertical asymptote, which is a pair of lines that approach the value of the limit and continue upward or downward without constraints.

4. The limit does not exist as x approaches a particular integer if the graph is approaching two different numbers from two different directions. There can't be two distinct numbers.

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The Factors of the given quadratic equation "3x² -x -4" is (3x - 4)(x + 1)  .

The Factors of a quadratic equations  is defined as the number which when multiplied together gives the original equation .

the equation is given as : 3x² -x -4 ;

writing it as equation ,

we get , 3x² -x -4 = 0 ;

To write the factors we use split the middle term method , we get ;

⇒ 3x² +3x -4x -4 = 0 ;

⇒ 3x(x [tex]+[/tex] 1) -4(x [tex]+[/tex] 1) = 0

⇒ (3x - 4)(x [tex]+[/tex] 1) = 0 ;

Therefore , the factors of the given equation will be (3x - 4)(x + 1) .

The given question is incomplete , the complete question is

What is the factor of the quadratic Equation 3x² -x -4 ?

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To easily recognize comparable triangles, you can apply three theorems that are peculiar to triangles.

Two triangles can be compared using one of three theorems: Angle-Angle (AA), Side-Angle-Side (SAS), and Angle-Angle-Side (SS-AS) (SSS).

The symbol representing two triangles with the same angles on all three sides is SSS, which stands for "side, side, side." If two triangles' third sides match those of another triangle, the two triangles are said to be congruent.

The SAS regulation states as much. If the two sides and included angle of one triangle match the two sides and included angle of another triangle, the triangles are congruent. Any angle formed by two specified sides is considered to be an included angle.

A triangle is comparable to another if its two matching angles are congruent, according to the AA postulate of Euclidean geometry. The AA postulate is derived from the observation that the total internal angle of a triangle is always equal to 180°.

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Answer:

15/2

Step-by-step explanation: Have a nice day

Answer: No, it is a horizontal line across -4 y

Step-by-step explanation:

Children should be able to recite the letters and alphabets typically by the age of three.

An alphabet is a standardized system of fundamental written graphemes that correspond to the phonemes of certain spoken languages. a group of letters or other symbols used to write one or more languages, especially if they are organized in a regular sequence. a set of symbols or signals used to represent letters.

Children should be able to recite the letters typically by the age of three. All kids, nevertheless, are unique. While some toddlers may learn when they are two, others might not begin until they are late in the third year. The majority of the time, repetition is how kids pick up the alphabet.

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As per the concept of dot plot the team never scored exactly 2 goals in a single game.

In math the term dot plot which is also known as a strip plot or dot chart is referred as a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

Here we have given that goals scored per game a dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 0 dots, 3 has 5 dots, 4 has 3 dots, 5 has 8 dots.

And we need to find a true statement about the dot plot.

As we know that these types of charts are used to graphically depict certain data trends or groupings.

Here we know that the team never scored exactly 2 goals in a single game, based on this we can says the team never scored exactly 2 goals in a single game and the dot plot shows 0 dots in number 2.

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Answer:

{x element R : x!=-sqrt(5) and x!=0 and x!=sqrt(5)}

(assuming a function from reals to reals)

So b:)

Step-by-step explanation:

Add all of the numbers together and then divide that by how many numbers there are.

Mean mode formula  - Mean = {Sum of Observation} ÷ {Total numbers of Observations}

What does the mode mean?

By summing all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined.

              A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode. Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

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The discriminant is 60 and the equation has two real roots with parabola intersecting x - axis at two points.

We are given that the equation is [tex]-3x^{2} +6x +2 = 0[/tex]

The formula for discriminant is given by

D = [tex]{b^{2} -4ac}[/tex] where the equation is of the form [tex]ax^{2} + bx + c = 0[/tex]

Therefore,

a = -3

b = 6

c = 2

Putting these values in formula of discriminant, we get

D = [tex]{6^{2} - 4(-3)(2) }[/tex]

D = 36 +24

D = 60

For the quadratic equation [tex]ax^{2} + bx + c = 0[/tex] , the expression D = [tex]b^{2} - 4ac[/tex] is called the discriminant.

The value of the discriminant shows how many roots does the quadratic equation has:

Now, since D = 60 > 0, we can say that the equation has two real roots and therefore, the parabola is intersecting the x-axis at two places.

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AAS stands for Angle Angle Side

SSA stands for Side Side Angle

AAS Theorem (Angle-Angle-Side Theorem) states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. This theorem is important because it allows us to determine if two triangles are congruent without having to know all three sides and all three angles.

SSA Theorem (Side-Side-Angle Theorem) states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. This theorem is important because it allows us to determine if two triangles are congruent without having to know all three sides and all three angles.

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The solution of the given system of equations 8x+3y=5 and 3x-2y=5 is x = 1 and y = -1

In this question we have been given a system of equations.

8x+3y=5                 ..........(1)

and 3x-2y=5           ..........(2)

We need to find the solution of the given system of equations.

As right hane side of both equations is equal, we equate LHS of both equations.

so, we get,

8x + 3y = 3x - 2y

⇒ 8x - 3x = - 2y - 3y

⇒ 5x = - 5y

⇒ x = - y                      .............(3)

By substituting x = - y in equation (1), we get,

8 ( - y ) + 3y = 5

⇒ - 8y + 3y = 5

⇒ - 5y = 5

⇒ y = - 1

Substitute above value of y in equation (3)

⇒ x = - (- 1)

⇒ x = 1

Therefore, x = 1 and y = -1 is solution of given equations.

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Answer:

You could graph the points and recognize that it's a quadratic equation.

If you solve for the equation, it is clear that this table follows the relation:

[tex]f(x)=x^2-1[/tex].

Step-by-step explanation:

The picture attached shows the graph.

Answer:

x = 26

Step-by-step explanation:

Angles ABC and CBD are supplementary, so they add up to 180.

(2x - 10) + (5x +8) = 180

7x - 2 = 180

7x = 182

x = 182/7 = 26

The range is { -5, -3, 7 }

The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). A function's range is the set of possible values that it can accept. The values that the function outputs when we enter an x value are in this set.

domain = x

range = y

when the domain is -1

y = 2(-1) - 3

y = -2 - 3

y = -5

range is -5

When the domain is 0

y = 2(0) - 3

y = 0 - 3

y = -3

range is -3

when the domain is 5

y = 2(5) - 3

y = 10 - 3

y = 7

range is 7

The range is { -5, -3, 7 }

The complete question is : What is the range of the function y=2x-3 when the domain is {-1,0,5}

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Answer:

Answer Below

Step-by-step explanation:

A rhombus is a quadrilateral with 2 diagonals.

The percent of the decrease in the average monthly revenue is 10%.

We can calculate the percent of the decrease by using the following formula:

The percent of the decrease = (previous revenue - current revenue) / previous revenue  × 100%

Last year, the average monthly revenue at the Cedarburg Times newspaper was $66,490.

This year, the average monthly revenue so far has been $59,841.

The percent of the decrease = (previous revenue - current revenue) / previous revenue  × 100%

previous revenue = $66,490.

current revenue = $59,841

The percent of the decrease = ($66,490 - $59,841) / $66,490 × 100%

The percent of the decrease = 6,649 / $66,490 × 100%

The percent of the decrease = 0.1 × 100%

Apply the multiplication operation, and we get

The percent of the decrease = 10%

Thus, the drop in the average monthly revenue is 10%.

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No, All equilateral triangles need not to be always congruent with one another .

Justification of answer:

The reason is that although an equilateral triangle's angles are all 60 degrees, their corresponding sides are not necessarily the same .

1. All 3 side of an equilateral triangles have same length .

2. All 3 angles of an equilateral triangles have same measure.

3. Each angles of an equilateral triangles is 60 degree .

4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4} * a^2[/tex]

5 . Perimeter of an equilateral triangles = 3*a

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As per the solenoid turn the measure of the current is written as 23.45

Here we have given that the inductor in is a 9.0-cm-long, 2.0-cm-diameter solenoid wrapped with 300 turns.

And we need to find the measure of the current flow.

While we looking into the given question, here we have given that  

Here the

R refers resistance of resistor = 30 Ω

V refers voltage of battery = 6.0 V

s refers length of solenoid = 9.0 cm = 0.09 m

d refers diameter of solenoid = 2.0 cm = 0.02 m

N refers number of turns of wire = 300

μ0 refers permeability of free space = 12.56 x 10⁻⁷ H/m

Then the flow of the current is calculated as,

=> [4π x 10⁻⁷ x 300  x 12.56 x 10⁻⁷] / 2 x 10⁻²

When we simplify this one then we get the result as,

=> 23.45

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Answer:

It's B, and the last one

Step-by-step explanation:

because 20% of omnivores like to exercise as opposed to the 14% of vegetarians.

Also about 16% of everybody LIKES to exercise, meaning more than 80% DON'T like to exercise

Answer:

A soultion is provided that makes assumptions about missing information.  

Step-by-step explanation:

The statement ". . . each goose gets 16 oz . . ." is missing some information about a time frame.  Is it 16 oz per day, week, month?  The question cannot be answered without this information.  

We also don't know the relationship between the number of seeds and ounces.  Is 16 oz 1 seed, 10 seeds, 1000 seeds?  Again, we cannot solve this without additional information.

To add some insight how to solve the problem, lets make two assumptions:

Assume 16 oz/week.  We can write this as a conversion factor:  (16 oz food)/(1 snow goose).

Assume 10 seeds/oz.

The Rescue Center has 1,656 seeds in total.  

(1,656 seeds)

Each snow goose gets 16 oz of seeds a week.  That is (16 oz)*(10 seeds/oz) = 160 seeds/week per goose.

There are 9 geese, so they consume (9 geese)*(160 seeds/week/goose) = 1440 seeds/week

There are 1,656 seeds.  At 1,440 seeds/week, they will last (1,656 seeds)/(1,440 seeds/week) = 1.15 weeks.

Answer:

52,81,8,926 anything that is not a decimal, fraction,or negative number

Step-by-step explanation:

IQ scores follow a normal distribution, with a mean of 100 and a standard deviation of 15. Approximately 68% of people have IQ scores in the range [85,115].

In mathematics and statistics, the mean is the average of a set of variables. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all ways for calculating the mean. The mean (average) of a data set is computed by adding all of the numbers in the set and dividing by the number of values in the set. When arranging data from smallest to greatest, the median is the value in the middle. The mode is the most commonly occurring number in a data set.

Here,

In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115. Values in this particular interval are the most frequent.

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval [85,115] .

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The equation 6p = 2(52p) getting no solution.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

6p = 2(52p)

First, divide both sides by 2

6/2p = 2(52p)/2

3p= 52p

3= 52

No solution.

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The system of inequalities is:

x + y ≤ 8      (1)

5x +8y ≥ 80    (2)

The graphical solution is attached and one possible solution is (-30,30).

What is inequality?

The relation between two unequal expressions is defined as inequality.

Given that, the person makes $15 per hour of lifeguarding and $8 per hour clearing tables.

It is also given that x represents the number of hours of lifeguarding and y represents the number of hours of clearing tables.

The person has at most 8 hours a week, therefore, it follows:

x + y ≤ 8      (1)

The earnings of the person in a week are:

15x + 8y

Since the earnings must be no less than $80, it follows:

15x +8y ≥ 80    (2)

Hence, the system of inequalities is:

x + y ≤ 8      (1)

5x +8y ≥ 80    (2)

The graphical solution is attached and one possible solution is (-30,30).