a table of data is given. x f(x) −2 128 −1 27 0 5 1 1 2 0.1 which exponential model best represents the data? f(x) = 5(1.2)x f(x) = 5(0.2)x f(x) = 2(5)x f(x) = 2(0.5)x

Z would ultimately have a value of 2, since 5 minus 7 equals 2.

x = 5; y = 7; z = x - y z = 5; y z = 7; z = 2;Consequently, z's final value is 2.

Given that x is 5 and y is 7, the final value of z would be 2. These two numbers are divided by two, giving the answer 2. Subtraction is the action of comparing two integers to determine their differences. In this instance, since x and y differ by 2, the ultimate value of z is also 2. The solution is 2, which can alternatively be written as 5 - 7 = 2. In this case, the ultimate value of z is 2, since the difference between x and y is 2, which can be found using the useful mathematical technique of subtraction.

Learn more about value here

https://brainly.com/question/18523098

#SPJ4

Answer:

y = -2x + 3

Step-by-step explanation:

Lets just put the three points together.

(-1, 5) (-4, 11) (-7, 17)

First let's find the slope with y2 - y1/x2 - x1

Plug in using (-1, 5) and (-4, 11)

11 - 5/-4 + 1 = 6/-3 (simplify)

-2 is the slope

Now plug in (-7, 17) in the equation to get b or the y-intercept)

y = mx + b

17 = -2(-7) + b

17 = 14 + b (subtract 14 on both sides)

3 = b

y = -2x + 3

The equation of the line that passes through the points in the table is:\(y = -2x +3\)

The line passes through the following points

x (-1, -4, -7)

y (5, 11, 17)

Start by calculating the slope (m) of the line

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{17 - 11}{-4+1}\)

Evaluate the differences

\(m = \frac{6}{-3}\)

Evaluate the quotient

\(m = -2\)

The equation is then calculated as:

\(y = m(x -x_1) +y_1\)

This gives

\(y = -2(x+1) +5\)

Open the brackets

\(y = -2x-2 +5\)

Evaluate the like terms

\(y = -2x +3\)

Hence, the equation of the line is:\(y = -2x +3\)

Read more about linear equations at:

https://brainly.com/question/14323743

Therefore, it can be seen that the CIA profit/loss is $111,878.

Borrow $4 million in USD at the 4-month interest rate of 2.9%.

Convert the USD to CAD at the spot rate of 1.278 CAD/USD.

Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.

Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.

After 4 months, repay the USD loan and settle the forward contract.

The profit/loss from the CIA strategy is calculated as follows:

Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)

In this case, the profit/loss is calculated as follows:

Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)

= $112,000 - $0.12

= $111,878

Therefore, the CIA profit/loss is $111,878.

Read more about profit/loss here:

https://brainly.com/question/26483369

#SPJ1

Answer:

80% of 40 games is 32 games

Answer:

40

Step-by-step explanation:

Assume x = total number of games

80/100 * x = 32

x = 32 * 100/80

x = 40

Total number of games = 40

To pass the given 3 tables to 3NF using Armstrong's Axioms, you need to follow a step-by-step process.

1. Identify the functional dependencies: Analyze the given tables to determine the functional dependencies between the attributes. Functional dependencies represent the relationships between the attributes.
2. Create the minimal cover: Use Armstrong's Axioms to reduce the functional dependencies to their minimal form. This involves removing redundant dependencies and combining overlapping ones.
3. Decompose the tables: Decompose the original tables into smaller tables, ensuring that each table represents a single theme or concept. The goal is to eliminate any partial dependencies.

4. Resolve transitive dependencies: Check for transitive dependencies, where an attribute depends on another attribute through a third attribute. If transitive dependencies exist, further decompose the tables until they are eliminated.
5. Verify 3NF compliance: Finally, ensure that all the tables satisfy the third normal form (3NF) requirements. Each non-key attribute should be dependent only on the key attribute(s) in a table.
By following these steps, you can successfully pass the given 3 tables to 3NF using Armstrong's Axioms.

To know more about attributes refer to:

https://brainly.com/question/2207517

#SPJ11

The total number of subjects (n) in the study is 30. This is because the researcher gathered 15 men and 15 women, which gives a total of 30 participants in the study. Each participant was given a memorization task to perform in two different environments, one with music and one without music.

Therefore, each participant performed the task twice, resulting in a total of 60 data points (30 participants x 2 environments).

It is important to note that the researcher is interested in the effect of two independent variables, gender and environment, on the dependent variable of memorization. By including both men and women in the study, the researcher can examine if there are any gender differences in memorization abilities.

By having two different environments, the researcher can examine if there are any environmental factors that may affect memorization. Multiple independent variables and measures of the dependent variable can provide a more complete understanding of the phenomenon being studied.

To know more about Subject visit :

https://brainly.com/question/3541306

#SPJ11

Answer:

-|b| < b

Step-by-step explanation:

-b where?

Answer:

Step-by-step explanation:

3/4 and 8/9 both lie between 0 and 1.  Their LCD is 36.

Thus, 3/4 = 27/36 and 8/9 = 32/36.

Dividing the number line between 0 and 1 into 36 equal lengths, plot a dot at the 27th such mark and then another dot at the 32nd mark.

This clearly shows that 32/36 is larger than 27/36.

a. Probability of completing the exam in one hour or less is 0.0228. b. Probability of completing the exam in more than 60 minutes but less than 75 minutes is 0.2857. c. About 10 students are expected to be unable to complete the exam in the allotted time.

a. To find the probability of completing the exam in one hour or less, we need to convert one hour (60 minutes) into a z-score using the formula:

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation. So, we have:

z = (60 - 80) / 10 = -2

Using a standard normal distribution table or a calculator, we find that the probability of a z-score being less than or equal to -2 is 0.0228 (to 4 decimals). Therefore, the probability of completing the exam in one hour or less is 0.0228.

b. To find the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes, we need to convert both values into z-scores:

z1 = (60 - 80) / 10 = -2

z2 = (75 - 80) / 10 = -0.5

Then, we can find the probability between these two z-scores using a standard normal distribution table or a calculator. The probability is:

P(-2 < z < -0.5) = P(z < -0.5) - P(z < -2)

= 0.3085 - 0.0228

= 0.2857 (to 4 decimals)

Therefore, the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes is 0.2857.

c. We know that the mean time to complete the exam is 80 minutes and the standard deviation is 10 minutes. To find the number of students who will be unable to complete the exam in the allotted time of 90 minutes, we need to find the number of students whose completion time is greater than 90 minutes.

We can convert 90 minutes into a z-score using the formula:

z = (x - μ) / σ = (90 - 80) / 10 = 1

Using a standard normal distribution table or a calculator, we find that the probability of a z-score being greater than 1 is 0.1587.

So, the proportion of students who will be unable to complete the exam in 90 minutes is 0.1587. To find the actual number of students, we can multiply this proportion by the total number of students:

0.1587 x 60 ≈ 9.52

Therefore, we can expect about 10 students to be unable to complete the exam in the allotted time.

Learn more about probability here: brainly.com/question/30034780

#SPJ4

The sum of the given polynomials in standard form is -x²+2x-3.

Given that, (x²-3x)+(-2x²+5x-3).

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

Here, (x²-3x)+(-2x²+5x-3)

= x²-3x-2x²+5x-3

= (x²-2x²)+(5x-3x)-3

= -x²+2x-3

Therefore, the sum of the given polynomials in standard form is -x²+2x-3.

Learn more about the addition of algebraic expressions here:

https://brainly.com/question/21443100.

#SPJ1

Calculation of the approximate probability of 35 to 90 tickets given out on a particular day Given: Poisson distribution with μ = 50.The formula of Poisson Distribution is,\(P (x; μ) = (e-μ) (μx) / x!P (35 < X < 90) = P (X < 90) – P (X < 35)P (X < 90) = e-50 * 50⁹⁰ / 90!P (X < 35) = e-50 * 50³⁵ / 35!\)

The approximate probability that between 35 and 90 tickets are given out on a particular day is P (35 < X < 90) = 0.9862.b) Calculation of the approximate probability of the total number of tickets given out during a 5-day week is between 215 and 265 Given: Poisson distribution with μ = 50.The formula of Poisson Distribution is,\(P (x; μ) = (e-μ) (μx) / x!\) Let Y be the number of parking tickets given out during the 5-day week. Therefore, Y has a Poisson distribution with mean E(Y) = 5*50 = 250.The approximate probability is, \(P(215 ≤ Y ≤ 265) = P(Z ≤ 1.5) – P(Z ≤ -3)\) where Z = \((Y - E(Y)) / sqrt(V(Y))and V(Y) = E(Y)\) .Using the formula P(Z ≤ 1.5), we have P(Z ≤ 1.5) = 0.9332 Using the formula P(Z ≤ -3), we have P(Z ≤ -3) = 0.0013 Therefore, \(P(215 ≤ Y ≤ 265) = P(Z ≤ 1.5) – P(Z ≤ -3) = 0.9319c)\)

Calculation of the exact probability that the total number of tickets given out during a 5-day week is between 215 and 265.

To know more about Probability visit-

https://brainly.com/question/31828911

#SPJ11

The interest payment in the monthly payment of $297.02 for a financing of $12,000 at 7% over 5 years is $70. Option b is correct.

The interest payment of the given financing can be calculated by the given parameters as follows:

We are given that the amount financed is $12,000 for a period of 5 years and an annual interest rate of 7%.The monthly payment is given to be $297.02.

Compute the total interest on the loan over the 5-year period using the below formula:

Total Interest = (Amount Financed) x (Annual Interest Rate) x (Number of Years)

Total Interest = $12,000 x 7% x 5 years

Total Interest = $4,200

Compute the total number of monthly payments:

Total number of payments = Number of years x 12

Total number of payments = 5 x 12

Total number of payments = 60

Finally, calculate the interest payment component of the monthly payment using the below formula:

Interest payment = Total interest / Total number of payments

Interest payment = $4,200 / 60

Interest payment = $70

Therefore, the interest payment is $70. Option b is correct.

Learn more about interest payment https://brainly.com/question/32050786

#SPJ11

Answer:

y-intercept=8/7

x-intercept=4

Step-by-step explanation:

y=(8-2x)/7

=8/7-2/7x

Therefore y-intercept =8/7,

Subt.y=0,

8/7-2/7x=0

2/7x=8/7

x intercept=4

\(\\ \sf\longmapsto 2x+7y=8\)

\(\\ \sf\longmapsto 2x+7(0)=8\)

\(\\ \sf\longmapsto 2x=8\)

\(\\ \sf\longmapsto x=4\)

\(\\ \sf\longmapsto 2(0)+7y=8\)

\(\\ \sf\longmapsto 7y=8\)

\(\\ \sf\longmapsto y=\dfrac{8}{7}\)

Answer:

see below

Step-by-step explanation:

12/14 = 6/7 = 18/21

so w = 21

Answer:

x=2

Step-by-step explanation:

The axis of symmetry goes through the vertex and is the line that makes the image the same on one side as the other

Since this is a vertical parabola, the axis is symmetry is  of the form x=

The vertex is at x=2  so the axis of symmetry is x=2

Step-by-step explanation:

3x² + 3x - 1

should turn into x + 5.

so, let's subtract (x + 5), and the result is then what we have to add in negative version to the original expression (like with subtractions and additions if regular numbers).

3x² + 3x - 1 - x - 5 = 3x² + 2x - 6

so, we need to add -(3x² + 2x - 6) = -3x² - 2x + 6

Answer:

-x + 4

Step-by-step explanation:

(4x+5)+(−5x−1)

4x+5−5x−1  [Remove the parentheses]

-x + 4           [Combine Like Terms]

Answer:

-x+4

Step-by-step explanation:

Given:

(4x+5)+(−5x−1)

Solution:

To re-write this in it's simplest terms:

Combine like terms:

Hence the simplest form is -x+4.

Done.

Answer:

  it is

Step-by-step explanation:

The parallel horizontal sides are the same length, so the figure is a parallelogram.

Step-by-step explanation:

there are 2x and 3y so since it is multiplication you can directly write like below

2x•3y

6xy

Answer:

2x 3y

Step-by-step explanation:

I don't think that's an actual equation, but I'm sure it would just be this

The lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is attached

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

–3x – 2 = 2x + 8

The above equation can be splitted by introducing the variable y

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

y = –3x – 2

y = 2x + 8

This means that the lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is added as an attachment

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet

Answer:

\(a_n=20+6(n-1)\)

Step-by-step explanation:

Arithmetic Sequence

The arithmetic sequences are identified because each term is obtained by adding or subtracting a fixed number to the previous term. For example, the sequence 5, 12, 19, 26, 33... is arithmetic because each term is calculated by adding 7 to the previous term. The constant number is called the common difference r. The first term is identified as a1.

We are given a recursive formula for a sequence as follows:

\(20, a_{n-1}+6\)

This means the sequence is

20, 26, 32, 38, ...

The common difference is r=6 and the first term is a1=20. The equation to calculate the nth term of an arithmetic sequence is:

\(a_n=a_1+(n-1)r\)

Substituting the known values:

\(a_n=20+6(n-1)\)

The explicit equation of the arithmetic sequence is

\(\boxed{a_n=20+6(n-1)}\)

Answer:

The answer is C.

Step-by-step explanation:

In order to find the solution of the linear equation, you have to find the coordinates where they intersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I am wrong)

The ancient Greeks had a profound impact on ancient Rome in terms of religion and architecture. From the Roman adoption of Greek gods and goddesses to the construction of grand temples and amphitheaters, the influence of Greek culture can be seen throughout the city of Rome.

Through an examination of key examples of Roman religious and architectural practices, it becomes clear that the ancient Greeks played a crucial role in shaping the cultural identity of ancient Rome. In this argumentative essay, the thesis statement establishes the main focus of the essay, which is to examine the influence of the ancient Greeks on ancient Rome in the areas of religion and architecture.

The thesis statement highlights the two specific aspects that will be explored: the adoption of Greek religious practices by the Romans and the integration of Greek architectural styles in Roman structures. The essay will delve into the historical and cultural context to demonstrate how the Greeks' religious beliefs and architectural techniques permeated Roman society, showcasing the interplay between the two civilizations.

By presenting this thesis statement, the essay sets a clear direction and provides an overarching argument that will guide the subsequent analysis and evidence presented in the essay.

You can learn more about ancient Greeks at: brainly.com/question/23708257

#SPJ11

e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.

A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).

The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).

The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.

For more questions like P-value click the link below:

https://brainly.com/question/14790912

#SPJ4

Answer:

1

Step-by-step explanation:

Answer:

The white corn section covers \(\frac{3}{20}\) of the whole field.

Step-by-step explanation:

The statement indicates that section of the white corn is a portion within the corn section of the field. The statement can be interpreted as a multiplication of rational numbers. That is to say:

\(x = \frac{1}{4} \times \frac{3}{5}\)

\(x = \frac{1 \times 3}{4 \times 5}\)

\(x = \frac{3}{20}\)

The white corn section covers \(\frac{3}{20}\) of the whole field.

Answer:

$118

Step-by-step explanation:

First, find how much money you had after going to the bank:

100 + 30

= $130

Find how much money you spent at the store by subtracting 12 from 130:

130 - 12

= 118

So, you spent $118

The area of circle A to the area of circle B ratio is 100: 64, and the ratio of e: f is 13: 10.

The area of the circle is equal to the multiplication of the square of the circle's radius and π.

A = πr²

where 'r' is the radius

Circumference of circle A × 0.8 = circumference of circle B

So, taking r as the radius of A,

2πr =  circumference of circle A

2πr × 0.8 = circumference of circle B

So the radius of B is r × 0.8.

Now we can substitute that in the area equations :

Area of A = π×r²

Area of B = π × (r × 0.8)² = π × r² × 0.64

The circumferences of the A to B ratio is

Circumference of A : Circumference of B = (2 × π × r)/(2 × π × r × 0.8)

= 1: 0.8 = 100: 80,

The areas of circle A to circle B ratio is

Area of A : Area of B = (π × r²)/(π × r² × 0.64) = 1: 0.64 = 100: 64

e² = f² × 1.69

69% larger shows that f² is the 100% to which we must add 69% to obtain e². 100% + 69% Equals 169%, obtaining a factor of 1.69.

We have this equation:

e² = f² × 1.69

Apply the square root on both sides.

e = f × √(1.69) = f × 1.3

e/f = 1.3 = 1.3/1 = 13/10

the ratio e:f = 13: 10

Thus, the ratio of circle A's area to circle B's area is 100: 64 and the ratio of e: f is 13: 10.

To know more about ratio, here

https://brainly.com/question/13419413

#SPJ4