An item on sale costs 80% of the original price. The original price was $22.

Answer: Ian is 25 and craig is 20

Step-by-step explanation:

(45 - 5) /2 +5 to one of them

Answer:

Craig is 20 and Ian is 25 years old.

Step-by-step explanation:

I = Ian

C = Craig

I = C + 5

45 = C + I

45 = C + C + 5

45 - 5 = C + C

40 = 2C

C = 20

I = 20 + 5

Craig is 20 and Ian is 25.

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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Since we have that y is directly proportional to x, then the relationship can be written like this:

Now, since y=12 when x=6, we have the following:

Therefore, the equation would be y = 2x.

Finally, if x=-30, then:

continuous is an experiment studies the number of tickets written each day by campus police for illegal parking by the university of akron students.

A continuous variable is a type of variable that can take on an infinite number of values within a defined range. The number of tickets written each day by campus police for illegal parking is an example of a continuous variable because there can be an infinite number of values that it can take on within a certain range (e.g. 0 tickets to 100 tickets).

Continuous variables are often used in scientific experiments to measure things like time, weight, height, and so on. These variables can take on any value within a specified range, and the values can be expressed to any level of precision. In contrast, a categorical or discrete variable is a type of variable that can only take on a limited number of values. For example, the number of days in a week (7 days) is a discrete variable because it can only take on 7 values.A continuous variable is a type of variable in statistics and mathematics that can take any value within a specific range or interval. This means that there is an infinite number of possible values that a continuous variable can assume. For example, the height of a person, the temperature of a room, or the time it takes to run a certain distance are all examples of continuous variables. Unlike discrete variables, which can only take specific, distinct values, continuous variables can take any value within a certain range.

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an experiment studies , the number of tickets written each day by campus police for illegal parking by the university of akron students. this variable is

Answer:

368/527

Step-by-step explanation:

The percentage of full marks was obtained by D is (d) 60%.

What is percentage  ?

Let's start by using the given information to find out how many marks B, C, and D got in the exam.

We know that A got 10% less than B, so if A got 360 marks, then B got 10% more than that, which is:

B = 360 + 10% of 360

= 360 + 36

= 396

We also know that B got 25% more than C, so if B got 396 marks, then C got 25% less than that, which is:

C = 396 - 25% of 396

= 396 - 99

= 297

Finally, we know that C got 20% less than D, so if C got 297 marks, then D got 20% more than that, which is:

D = 297 + 20% of 297

= 297 + 59.4

= 356.4

So D got 356.4 marks out of 500. To find out what percentage of full marks D obtained, we can use the formula:

percentage = (marks obtained / full marks) x 100

Therefore, the percentage of full marks obtained by D is:

percentage = (356.4 / 500) x 100

= 71.28%

Rounded to the nearest integer, the answer is approximately 71%, which is closest to option (d) 60%. Therefore, the answer is (d) 60%.

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Answer:

Each side in the pre-image is multiplied by three to find the corresponding side length in the image.

Step-by-step explanation:

Hope this helps!!

Answer:

C

Step-by-step explanation:

Each side in the pre-image is multiplied by three to find the corresponding side length in the image.

The value of 3/12 of 100 is 25 .

In the question ,

a fraction 3/12 is given ,

we have to find the value of 3/12 of 100 .

to find the value , we first convert both the numbers into fraction

So 100 in fraction form can be written as 100/1

So the value 3/12 of 100 means

= \(\frac{3}{12} *\frac{100}{1}\)

multiplying the numerator with numerator

and multiplying denominator with denominator .

we get = 300/12

on further  simplification ,

we have ,

= 75/3

= 25

So , 3/12 of 100 = 25

Therefore , The value of 3/12 of 100 is 25 .

The given question is incomplete , the complete question is

What is the value of 3/12 of 100 ?

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The number of portion with each having 12 fruits is at most 6 portions.

To divide the fruits into 12 portions

Total number of fruits = 80

Number of fruits per portion = 12

Number of fruits per portion = (Total number of fruits / Number of fruits per portion )

Number of fruits per portion = 80/12 = 6.67

Therefore, to divide the fruits into 12 fruits , There would be at most 6 portions.

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Answer:

10x3=30 6x12x19=1368 1368+30=1398

Answer: the length of the path traced by the outer tip of the minute hand in one hour is 14 × 1 = 14 inches.

Step-by-step explanation:

Answer:

Step 3

Step-by-step explanation:

The exponents haven't been solved right.

For powers when multiple you add them together

To solve this exercise you have to solve each system of equations.

a)

To solve this equation system you have to equal both equations and solve for x:

- Pass -6x to the left side of the equation by applying the opposite operation to both sides of it

- Add 5 to both sides of the equal sign:

- Divide both sides by 10

- Replace the value of x in one of the equations and solve for y:

The solution for this equation system is (3,7)

b)

Replace the second equation into the first one:

- Distribute the multiplication on the parentheses term:

-Subtract 10x to both sides of the expression:

-Subtract 84 to both sides of the equal sign:

-Divide both sides by -24

- Replace the value of x in the second equation and solve for y:

The solution for this equation system is (4,14)

c)

- Write the second equation for y:

- Replace the expression in the first equation

-Distribute the multiplication on the parentheses term

- Subtract 69 to both sides of the equal sign

-Divide both sides by -45

-Replace the value of x in the expression obtained for y and solve:

The solution of this equation system is (2,-1)

d)

- Write the second equation for y:

-Replace the expression in the first equation:

-Distribute the multiplication on the parentheses term:

-Subtract 52 to both sides of the equation:

-Divide both sides by -29

-Replace this value in the expression obtained for y:

The solution to this equation system is (76/29,450/29)

The answer for this exercise is:

a → (3,7)

c → (2,-1)

b → (4,14)

e → (4,20)

The statement that states the difference between the population parameters between two groups is zero is referred to as the null hypothesis. Therefore, the correct answer is option b: null hypothesis.

In statistical hypothesis testing, we compare the observed data from two groups or samples to determine if there is evidence to support a difference or relationship between the populations they represent. The null hypothesis (option b) is a statement that assumes there is no difference or relationship between the population parameters being compared.

The null hypothesis is typically denoted as H0 and is the default position that we aim to test against. It asserts that any observed differences or relationships are due to chance or random variation.

On the other hand, the alternative hypothesis (option c) states that there is a difference or relationship between the population parameters. The null hypothesis is formulated as the opposite of the alternative hypothesis, assuming no difference or relationship.

Therefore, the correct answer is option b: null hypothesis.

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9514 1404 393

Answer:

  1 (dollar per subscription)

Step-by-step explanation:

a) The term "rate of change" refers to "slope" or "unit rate" on a graph. In a linear equation, it is the coefficient of the variable.

On the graph, it can be found by counting the vertical units that correspond to each horizontal unit. On this graph, a horizontal increase of 1 grid square (5 subscriptions) causes an increase of 1 grid square ($5) in earnings. The rate of change is ...

  m = rise/run = $5/(5 subscriptions) = $1 per subscription

__

c) As indicated above, this will translate to the coefficient of the variable in the equation.

  E = n + 45

sin(x + y) is equal to 39/45.To evaluate sin(x + y), we can use the trigonometric identity:sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

Given that sin(x) = 2/3 and sec(y) = 5/4, we can find the values of cos(x) and cos(y) using the Pythagorean identity:

cos²(x) = 1 - sin²(x)

cos²(x) = 1 - (2/3)²

cos²(x) = 1 - 4/9

cos²(x) = 5/9

cos(x) = ±√(5/9)

Since x lies between 0 and π/2, cos(x) msin(x + y) is equal to 39/45.ust be positive. Therefore, cos(x) = √(5/9).

Similarly, sec(y) = 1/cos(y), so we can find cos(y) as:

cos(y) = 1/sec(y)

cos(y) = 1/(5/4)

cos(y) = 4/5

Now, we can substitute these values into the sine addition formula:

sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

          = (2/3)(4/5) + (√(5/9))(sin(y))

          = 8/15 + (√(5/9))(sin(y))

To find sin(y), we can use the Pythagorean identity:

sin²(y) = 1 - cos²(y)

sin²(y) = 1 - (4/5)²

sin²(y) = 1 - 16/25

sin²(y) = 9/25

sin(y) = ±√(9/25)

Since y lies between 0 and π/2, sin(y) must be positive. Therefore, sin(y) = √(9/25) = 3/5.

Substituting this value into the expression for sin(x + y), we have:

sin(x + y) = 8/15 + (√(5/9))(3/5)

          = 8/15 + √(1/9)

          = 8/15 + 1/3

          = 24/45 + 15/45

          = 39/45

Finally, we can simplify the fraction:

sin(x + y) = 39/45

Therefore, sin(x + y) is equal to 39/45.

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the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

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Rate by which change in the area of the circle when radius is 2 inches with the given given rate of change of circumference is equal to 8 inches per second.

As given in the question,

Let 'r' be the radius of the circle

And 'A' be the area of the circle

Circumference of a circle 'C' = 2πr

Rate of change of circumference dC/dr = 4 inches per second

C = 2πr

⇒dC/dr = 2π(dr/dt)

⇒4 = 2π(dr/dt)

⇒(dr/dt) = 2 / π

Area of the circle 'A' = πr²

⇒dA/dt = 2πr (dr/dt)

When r = 2inches and dr/dt = 2/π

⇒dA/dt = 2π × 2 × ( 2 / π )

⇒dA/dt = 8 inches per second

Therefore, the rate of change of area of the circle when radius is 2 inches is equal to 8 inches per second.

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Given the points (1,2) and (2,6), we can find the relation function with the slope-point formula for the equation of a line:

we have that the linear function is y=4x-2. Then for x=4 we have the following:

therefore, the missing value is y=14

Answer:

The bottom right one with ∠AEB and ∠CED

Step-by-step explanation:

Vertical angles are angles that's vertices meet. So it should look like ><

Answer:

(450/5)*6 = 540 is the surface of the larger can

Step-by-step explanation:

a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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We know that the line passes through the origin, which means that the coordinates of the point on the line are (0,0). We also know that the line has a slope of 2. Therefore, we can use the point-slope form of the equation of a line to find its equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line. Plugging in the values we know, we get:

y - 0 = 2(x - 0)

which simplifies to:

y = 2x

Thus, the equation of the line containing the origin and with a slope of 2 is y = 2x.

Answer: 19 days

Step-by-step explanation:

Answer:

115 + 10x = 305

x = 19

It will take her 19 days to finish.

Answer:

the coordinates of BB would be: B(8,1)

The only possible values of c that would make the vectors v and w orthogonal are the square roots of 35 and their negatives.

To find the values of c that make v and w orthogonal, we need to use the dot product formula:
v · w = (1)(1) + (6)(-6) + (c)(c) = 1 - 36 + \(c^2\)
We know that v and w are orthogonal when their dot product is equal to 0. So, we can set the equation we just formed equal to 0 and solve for c:
1 - 36 + \(c^2\) = 0
\(c^2\) = 35
c = ± √35
Therefore, the values of c that make v and w orthogonal are √35 and -√35. We can write the answer as a comma-separated list:
c = ± √35

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A conclusion that a linear model between the variable and age is appropriate is supported by the plot or plots that show random scatter and no discernible pattern. To determine which option is correct, examine the residual plots for variables A, B, and C, and choose the one(s) with the random scatter.

A linear model is a mathematical representation of a relationship between two variables that is linear, or a straight line. The general form of a linear model is:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the value of y when x is equal to zero).

In a linear model, the relationship between the two variables is assumed to be linear, meaning that the change in the dependent variable is directly proportional to the change in the independent variable. This assumption allows us to use linear regression to estimate the slope and y-intercept of the line that best fits the data.

Linear models are commonly used in many fields, including economics, finance, physics, and engineering. They can be used to make predictions, estimate relationships between variables, and test hypotheses about the relationship between variables.

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Answer:

7a. D)

7b. $78

Step-by-step explanation:

7a: We're given the information that there's a daily fee of $50 and $0.35 per mile driven, which is m. We can write "$0.35 per mile driven" as 0.35m. Then, the total amount of money it costs represented as an expression is 50 + 0.35m, thus, making it answer D).

7b: In this problem, we have to take our previous expression 50 + 0.35m, plug in the value of m, and simplify.

Thus, the answer is $78.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

2nd: 9

3rd: 15

4th: 21

Step-by-step explanation:

Add 6 to each term

In order for the inequality {x1 - 2k = -3} to have no solution, k must be equal to 1.5.

Value is the regard that something is held to deserve; the importance, worth, or usefulness of something. Value is subjective and can differ from one individual to another. Values can be influenced by cultural, religious, and personal beliefs, as well as life experiences. Values can also refer to economic worth or the worth of something in terms of money. In economics, value is a measure of the benefit or utility of a good or service.

This can be determined by solving the equation for k. To do this, first subtract -3 from both sides of the equation so that the left side is equal to 0. This leaves {x1 - 2k = 0}. Then divide both sides of the equation by -2 to solve for k. This leaves {k = -1/2 x1}. Since -1/2 x1 must equal 1.5 for the equation to have no solution, k must equal 1.5.

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