A line passes through the point (-6, 9) and has a slope of 4/3 right in equation in point slope form for this line

The tables that reprsesent a linear function is (d)

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

The table of values

A table of value that is a linear function is a table that has a constant rate

i.e. as x changes, y changes constantly

Using the above as a guide, we have the following:

In table (d) x changes constantly by 1 and y constantly changes by -2

Hence, the table is table (d)

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Answer:

y = 30°         { adjacent angles }

z = 90 - 30° = 60°     { right angle triangle - 90° }

x = 180° - 60° - 60° = 60°  { isosceles, triangle has two sides 60° }

The operations that would increase the value of a given number include the following:

A. Multiply the number by 10.

D. Divide the number by 0.1.

The operations that would decrease the value of a given number include the following:

B. Multiply the number by 0.1.

C. Divide the number by 10.

Multiplication is a mathematical operation which can be used to increase the value of a given number, especially by multiplying the number by a value that is greater than 1. Similarly, the value of a given number can also be increased by dividing it by a number that is lesser than 1 such as 0.1

Multiplication is a mathematical operation which can be used to decrease the value of a given number, especially by multiplying the number by a value that is lesser than 1. Similarly, the value of a given number can also be decreased by dividing it by a number that is greater than 1 such as 10.

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To determine which gym membership is more cost-effective, you would need to compare the total cost for a given period. Let's consider a time frame of one month.

For Gym A, the monthly payment is $50. This means that regardless of how many times you visit the gym, you will pay a fixed amount of $50 each month.

For Gym B, the cost is $10 per visit. To calculate the total cost for a month, you need to estimate the number of times you plan to visit the gym in that period. Let's assume you plan to visit the gym 10 times in a month.

The total cost for Gym B would then be calculated as:

Total Cost for Gym B = Number of Visits * Cost per Visit

Total Cost for Gym B = 10 visits * $10 per visit

Total Cost for Gym B = $100

Comparing the total costs, we find that for Gym A, the monthly payment is $50, and for Gym B, the estimated cost for 10 visits is $100. In this case, Gym A would be the more cost-effective option if you plan to visit the gym at least 10 times in a month. However, if you anticipate visiting the gym less than 10 times in a month, Gym B might be the more affordable choice.

By using basic arithmetic to calculate the total costs based on the given pricing structures, you can make an informed decision regarding the gym membership that fits your budget and lifestyle.

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Answer:

Step-by-step explanation:  Chemical signal is the type of communication which coordinates actions between neighboring cells . This ability originated in single cells organisms and was essential for the evolution of multicellular organisms because after a cell receives a message, it is transferred across the plasma membrane and changes are brought about within the cell in response to this message.

Answer:

-3, -2.5, -3/4, 0.8, 2.5, 6 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 = 0.5

6 = 6

6 + 0.5 = 6.5

----------------------------------------------------------------------------------------------------------------

1/4 = 0.25

-1/4 = -0.25

-3/4 = -0.75

----------------------------------------------------------------------------------------------------------------

Hope this helps! <3

Answer:

There are 12 goats and 2 geese.

Step-by-step explanation:

X = geese; Y = goats

Geese have 2 legs each. Goats have 4 legs each.

2x + 4y = 52

There are 14 animals

x + y = 14

x = 14 - y

(replacement)

2(14 - y) + 4y = 52

(simplify)

28 - 2y + 4y = 52

28 + 2y = 52

2y = 24

y = 12

14 - 12 = 2

x = 2

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

x=145

Step-by-step explanation:

There are two ways to solve:

-Vertical angles Theorem states that opposite angles are congruent, so x=145 degrees.

-Sameside angles are supplementary so:

35+x=180

Subtract 35 from both sides:

x=145

The amount or maturity value is Php 95645.18.

Given that Principal (P) = -80,000; Rate of Interest (R) = 6%; Time (t) = 3 years; Rate of Interest (r) compounded Semi-annually.

We need to find out the maturity value or Amount (A).

Step-by-step solution: Now,  since rate of interest is compounded semi-annually, then the rate of interest for every period will be R/2.

Therefore, we have rate of interest (r) compounded semi-annually as:r = R/2= 6/2= 3%Also, Time (t) is given as 3 years, but since the interest is compounded semi-annually, the total number of periods will be:

Total number of periods (n) = 2 × t

                                              = 2 × 3

                                              = 6 periods.

Using the formula for the Amount of an investment(A) that pays semi-annual interest :A = P(1 + r)nA

                                                                                                                                                  = (-80,000)[1 + 3%/2]^6A

                                                                                                                                                   = (-80,000)(1.03)^6A

                                                                                                                                                   = (-80,000)(1.19562)A

                                                                                                                                                   = -95,649.18

Note: Since the answer is asking for the amount at maturity value, this implies that the amount can't be negative.

Therefore, we will ignore the negative sign; which gives us :Amount (A) = Php 95,649.18

Therefore, the correct option is: a. Php 95645.18.

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Using arithmetic we know that Mariom brings 80 biscuits to the party.

We assume that the tea party has X people in total, and Mariom brought Y biscuits.

Therefore, arithmetic has shown us that Mariom brings 80 biscuits to the gathering.

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Answer:

Step-by-step explanation:

debatable

Answer: y₁=-0.5x+3

Step-by-step explanation:

The equation of the perpendicular line should have an angular coefficient m₁, which is a negative inverse value with respect to the original angular coefficient m

2x-y=4

2x-y+y=4+y

2x=4+y

2x-4=4+y-4

2x-4=y

Thus, y=2x-4

\(\displaystyle\\Hence,\\\\m=2\\\\m_1=-\frac{1}{2}\\\\y_1=-\frac{1}{2}x+b \\\)

Let us find the equation of the perpendicular line using the equation of the line with the angular coefficient and the given point(4,1):

\(\displaystyle\\1=-\frac{1}{2}(4)+b\\\\1=-\frac{4}{2}+b\\\\\1=-2+b\\\\1+2=-2+b+2\\\\3=b\\\\Thus,\ b=3\\\\Hence, \ y_1=-\frac{1}{2}x+3 \\\\or\\\\y_1=-0.5x+3\)

The expression 5⁴/5² will result in 5².

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.

Given that, 5⁴/5²

5⁴/5² = 5²×5²/5²

⇒ 5²

Hence "The expression 5⁴/5² will result in 5²".

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If triangle ABC and DEF are similar then tan (A)=tan(D) because angle A = angle D

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Angle C = angle F = 90°

Therefore A = D( similar triangle) and Isosceles right angled triangle.

Though the line of the triangle are different in proportion but there angles are still thesame .

Therefore tanA = tan D because A = D

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Answer:

955.168 cm²

Step-by-step explanation:

The formula to find the surface area of a cylinder is :

Surface area = 2 π r ( r +  h )

Here,

r ⇒ radius ⇒ 8 cm

h ⇒ height ⇒ 11 cm

So, Let us solve now.

Surface area = 2 π r ( r +  h )

Surface area  = 2 × 3.142 × 8 ( 8 + 11 )

Surface area  = 50.272 × 19

Surface area  = 955.168 cm²

What would a social psychologist call the story? The story is called a prime. A prime is what social psychologists would call the story that participants read right before the task of rating the danger of the object they were shown. A prime is something that influences the response of the main option in the experiment.

A prime, in this case, refers to the story that participants read before rating the danger of the object they saw. The study aims to analyze whether the story has an effect on how participants rated the danger of the objects that they saw.

The term social psychology refers to the scientific study of how people are affected by their social interactions, including how they think, feel, and behave in response to the social world around them.

The prime, in this case, refers to the story that participants read before rating the danger of the object they saw. A prime is an external stimulus that influences the response of the main answer in the experiment.

In this case, the story serves as a prime that potentially affects how the participants perceive the object as dangerous or harmless. The story serves as a prime that shapes the participant's rating of the object they saw.

The story, in this case, serves as an independent variable since it's the one being changed and tested to see if it affects the rating of the object's danger. The dependent variable, in this case, is the rating of the object's danger, since it is being influenced by the prime. The story primes have a direct effect on how participants rate the danger of the objects they are shown.

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Yes, the horizontal line test is important when finding the inverse of a function because without the intersection of the line, they would be no inverse.

The steps include;

A property of horizontal line is that if it intersects the graph of a function more that on way, then 'f' does not have an inverse.

If no horizontal line intersects the graph , 'then f' does have an inverse.

Thus, the horizontal line test is important when finding the inverse of a function because without the intersection of the line, they would be no inverse.

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The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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Answer:

Step-by-step explanation:

1,3,4,6

Logarithmic, Linear, Exponential, polyomial

The Logarithmic, Linear, Exponential, polyomial are trendline options were available when completing step 6

A trendline, also known as a line of best fit, is a straight or curved line that is used to represent the general direction or pattern of a set of data points in a scatter plot or line graph. It is commonly used in statistics and data analysis to visually depict the relationship between two variables.

A trendline is fitted to the data points in a way that minimizes the overall distance between the line and the points.

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The series converges because the limit of the ratio test is < 1.

To determine if the series is convergent or divergent using the ratio test, you first need to identify a_k, which is the general term of the series. In this case, a_k = 6k \(e^-^k\) . Then, evaluate the limit lim (k→∞) (a_(k+1) / a_k). If the limit is < 1, the series converges; if it's > 1, it diverges.

We have a_k = 6k \(e^-^k\). Apply the ratio test by finding lim (k→∞) (a_(k+1) / a_k) = lim (k→∞) [(6(k+1)\(e^-^(^k^+^1^)\)))/(6k \(e^-^k\))]. Simplify to get lim (k→∞) ((k+1)/k * e⁻¹). As k approaches infinity, the ratio approaches e⁻¹, which is < 1. Therefore, the series converges.

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Step-by-step explanation:

D because -2.3 is the number between -2 and -3 but it's not more than -2.5 (half point of -2and -3).

A dot plot is a graphical representation of data that shows the frequency of each data value on a number line by plotting dots above the values. A box plot is a graphical representation of data that depicts data distribution using five key values: minimum, first quartile, median, third quartile, and maximum.

The box plot in this case depicts the distribution of points awarded to dance teams in a competition. The minimum value is zero, the first quartile is fifty, the median is seventy, the third quartile is ninety, and the maximum value is one hundred.

"dot plot titled Dance Competition Points with Points on the x axis and Number of Teams on the y axis with 2 dots over 50, 1 dot over 70, 2 dots over 90, 1 dot over 100," is the dot plot that best represents the box plot data. This dot plot accurately reflects the data distribution in the box plot.

It shows two dots over 50 (representing two teams), one dot over 70 (representing one team), two dots over 90 (representing two teams), and one dot over 100 (representing one team) (representing 1 team). These values correspond to the box plot values and accurately represent the data distribution.

The other dot plots do not accurately reflect the distribution of the data as they either have incorrect values or incorrect frequencies for each value.

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A random variable is a variable whose possible values are determined by chance, while a discrete random variable can only take on certain values, and a continuous random variable can take on any value within a given range

There are two types of random variables: discrete random variables and continuous random variables.

The difference between these two types of random variables is as follows:

Discrete random variables: A discrete random variable is one that can only take on a finite or countably infinite number of distinct values. These values are usually represented by integers.

Examples of discrete random variables include the number of students in a class, the number of cars in a parking lot, or the number of heads that come up when a coin is flipped. In other words, a discrete random variable is one that can be counted.

Continuous random variables: A continuous random variable is one that can take on an infinite number of values, and these values can be represented by any real number within a given interval.

Examples of continuous random variables include height, weight, temperature, and time. In other words, a continuous random variable is one that can be measured.

Continuous random variables are usually represented by a function called the probability density function, which describes the likelihood of any given value occurring within the given interval.


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Answer:

The solution of the system of inequalities 3x > y and x + y ≤ 4 is graphed by the shaded region given.

Answer:

d

Step-by-step explanation: