What does 25 radical 6 equal?

Answer: 20

Step-by-step explanation:

4 x 2 = 8

4 x 2 = 8

+

---------

16 round to twenty

Answer:

y = 75x +1

is the correct answer hope it is helpful to you ☺️

The linear equation for this situation is,

⇒ y = 75x

And, There are 75 apple pick in one hour.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The graph shows how many apples Erin can pick if she ,maintain a constant rate.

Now,

Let two points on the graph are (0, 0) and (1, 75).

So, Slope of the graph (m) = (75 - 0) / (1 - 0)

                                         = 75

Thus, The linear equation is;

⇒ y - y₁ = m (x - x₁)

⇒ y - 0 = 75 (x - 0)

⇒ y = 75x

Where, y is number of apples and x is number of hour.

Thus, Number of apple pick in one hour is;

⇒ y = 75 x 1

⇒ y = 75

So, There are 75 apple pick in one hour.

Therefore, The linear equation for this situation is,

⇒ y = 75x

And, There are 75 apple pick in one hour.

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The conclusion of an enumerative induction is often referred to as a universal generalization. This is because enumerative induction is a type of inductive argument used to prove that a specific generalization is true

Enumerative induction is a method of reasoning in which specific instances or cases are used to reach a general conclusion about a group or category. In other words, it uses particular examples to draw a broader conclusion. For example, if we observe that all swans we have seen are white, we can conclude through enumerative induction that all swans are white.

However, since we cannot examine all members of a particular group or category, the conclusion is not absolute, but rather a generalization that applies to all known instances. This is why the conclusion is referred to as a universal generalization rather than a specific statement or a non-universal generalization.

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Answer:

a=4 , b=-9

Step-by-step explanation:

p(x) = 4x^4 + ax^3 + bx^2 -x +2 = (2x^2 - x - 1) q(x)

q(x) = cx^2 + dx + e

then we want to figure out the values of c, d and e

for c, 2x^2 * cx^2 = 4x^2, c=2

for e, -1 * e = 2, e = -2

for d, dx*(-1) + (-x) * e = -x, -dx + 2x = -x, d = 3

so,

q(x) = 2x^2 + 3x -2

to get the value of a and b, we just have to expand  

(2x^2 - x - 1) (2x^2 + 3x -2)

that is,

4x^4 + 6x^3 - 4x^2 - 2x^3 - 3x^2 + 2x - 2x^2 - 3x +2

simplify it,

p(x) = 4x^4 + 4x^3 - 9x^2 - x + 2

so a = 4 and b = -9

Answer:

a = 4    b = -9

Step-by-step explanation:

2x² – X – 1 = (2x+1)(x-1)   2 roots: 1 and -1/2

if x=1:   4x⁴ + ax³ + bx² – x + 2 = 4(1)⁴+a(1)³+b(1)²-1+2 = 0

a + b + 5 = 0   ...(1)

if x = 1/2    4(1/2)⁴+a(1/2)³+b(1/2)²-1/2+2 = 0

14/8 + a/8 + b/4 = 0      ... times 8 both side

a + 2b + 14 = 0   ..(2)

(2) - (1): b + 9 = 0       b = -9

a = 4

check: 4x⁴ + 4x³ -9x² – x + 2 = (2 x - 1) (2 x + 1) (x - 1) (x + 2)

                                               = (2x² - x - 1) (2x² +x - 2)

Answer:

n=1/2 after being simplified

Step-by-step explanation:

Use Division Distributive Property:

9^n-1=1/3^4n-1 then convert both sides to the same base

3^2(n-1) = 3^-(4n-1)

cancel the base of 3 on both sides

2(n-1) = -4n+1

then expand 2n-2=-4n+1

add 2 to both sides 2n=4n+1+2

simplify: -4n+1+2 to -4n+3

2n=-4n+3

add 4n to both sides: 2n+4n=3

simplify: 2n+4n to 6n

6n=3

divide both sides by 6

n=3/6

simplify and n=1/2

Answer:

Step-by-step explanation:

Answer:

$7.23

Step-by-step explanation:

(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23

Let's suppose the amount of alcohol in the container after time t is x. The mixture in the container has two components, water and alcohol. The volume of the solution at any given time is y. We are given the following:  One solution is composed of alcohol and water. The container is initially filled with y gallons of a mixture of alcohol and water.

The rate at which the second solution is added is a gallons per minute. The rate at which the container is drained is b gallons per minute. The solution in the container is constantly stirred. To solve the problem, we will set up a differential equation and solve it. The differential equation is:

dy/dt = a - bAt  any given time, the amount of alcohol in the mixture is x. The percentage of alcohol in the mixture is given by:x/y * 100%Let's suppose that the concentration of the alcohol in the second solution is c%. The amount of alcohol in the second solution that is added in time t is :

c * a * t  The amount of water that is added to the container in time t is:

(1 - c) * a * t So, the total amount of alcohol in the container after time t is:

x + c * a * t The total amount of water in the container after time t is:

y + (1 - c) * a * t The total amount of solution in the container after time t is:

y + a * t - b * t Since the solution is constantly stirred, the percentage of alcohol in the mixture remains constant. Therefore:

x / (y + a * t - b * t) * 100% = x / y * 100%Solving for x, we get:

x = (y + a * t - b * t) * (x / y)The equation gives us the amount of alcohol in the container after time t. The amount of alcohol in the container after t minutes is (y + a * t - b * t) * (x / y).

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Answer:

2

Step-by-step explanation:

8+5=13

Day 1 13+5=18

Day 2 18+5=23

20+3=23

Answer: 7 days

Why it’s 7: just trust me

Answer:

The average GPA would be 1.8

Step-by-step explanation:

Hope this is helpful. I did a test like this exact question and I got it right.

Answer: 8

Step-by-step explanation: On Edgenuity!!!!!

Answer:

Step-by-step explanation:

-16x+14 4/5

Answer:

XN = 6

Step-by-step explanation:

Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is

\(\frac{AX}{XN}\) = \(\frac{AY}{YN}\) , substitute values

\(\frac{18}{XN}\) = \(\frac{12}{4}\) ( cross- multiply )

12XN = 72 ( divide both sides by 12 )

XN = 6

There is a weak negative relationship between essential oils and hormone levels depicted in the scatter plot. So, a better headline for this information can be that "essential oils may disturb hormonal levels".

It is given to us that -

The current news headline claims that "essential Oils Cause Hormone Levels to Drop".

They show a scatter plot displaying a weak negative relationship (r = -0. 13) between essential oil use and hormone levels.

We have to determine a better headline for this information.

We know that a scatter plot is defined as a type of graph that depicts the pairs of data that are plotted as points in the plot.

We also know that, we can use a scatter plot to analyze trends in our data and to help us determine whether or not there is a relationship between two variables.

Again, a scatter plot can represent a positive relationship, a negative relationship, or no relationship.

It can be referred to as a negative relationship between the given variables if the points on the scatter plot form a line that spreads from left to right in the downward direction.

In case of a positive or negative relationship between the variables, we can draw a line that depicts the best fit.

This line depicted through a positive or negative relationship will not pass through each and every point on the scatter plot. However, it will represent the general trend of the available data.

So, it can be concluded that the weak negative relationship between essential oil and hormone levels displayed in the scatter plot suggests that the fact that "essential Oils Cause Hormone Levels to Drop" is not true.

This is because there is weaker relationship between essential oils and the hormone levels which is more of a lesser general trend that doesn't suggest any strong relationship or doesn't represent any stated fact.

Therefore, from the weak negative relationship between essential oils and hormone levels depicted in the scatter plot, a better headline for this information can be that "essential oils may disturb hormonal levels".

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Step-by-step explanation: 404 = 4.04 x 10 x 10

404=4.04 x 10^2

a) The equation of the line in \(R_{2}\) in all three forms is y = mx + b, Ax + By + C = 0, and parametric form: x = x\(_{1}\) + at, y = y\(_{1}\) + bt.

b) The equation of the second line in \(R_{2}\) in all three forms is y = mx + b, Ax + By + C = 0, and parametric form: x = \(x_{2}\) + as, y =  \(y_2\) +  bs.

c) The equation of the line in \(R_3\) in all three forms is z = mx + ny + b, Ax + By + Cz + D = 0, and parametric form: x = x\(_{1}\) + at, y = y\(_{1}\) + bt, z= z\(_{1}\) + ct.

d) The equation of the second line in \(R_3\) in all three forms is z = mx + ny + b, Ax + By + Cz + D = 0, and parametric form: x = \(x_{2}\) +  as, y = \(y_2\) + bs, z = \(z_2\)+ cs.

1a) Equation of a Line in R2:

To create the equation of a line in R2, we need a point (x₁, y₁) on the line and a vector (a, b) that is parallel to the line. The equation can be written in three forms:

Slope-intercept form: y = mx + c

Here, m represents the slope of the line, and c is the y-intercept.

Point-slope form: y - y₁ = m(x - x₁)

This form uses a known point (x₁, y₁) on the line and the slope (m) of the line.

General form: Ax + By + C = 0

This form represents the line using the coefficients A, B, and C, where A and B are not both zero.

1b) Equation of a second Line in R2:

Similarly, we need a point (x₂, y₂) on the second line and a vector (c, d) parallel to the line.

1c) Equation of a Line in R3:

In R3, we require a point (x₁, y₁, z₁) on the line and a vector (a, b, c) parallel to the line. The equation can be written in the same three forms as in R2.

1d) Equation of a second Line in R3:

Using a point (x₂, y₂, z₂) on the second line and a vector (d, e, f) parallel to the line, we can form equations in R3.

2a) To determine the relationship between two lines in R2 (parallel and distinct, coincident, perpendicular, or neither), we compare their slopes.

If the slopes are equal and the y-intercepts are different, the lines are parallel and distinct.

If the slopes and y-intercepts are equal, the lines are coincident.

If the slopes are negative reciprocals of each other, the lines are perpendicular.

If none of the above conditions hold, the lines are neither parallel nor perpendicular.

2b) To create a line in vector form that is perpendicular to the line from Part 1a), we need to find the negative reciprocal of the slope of the line. Let's call the slope of the line in Part 1a) as m. The perpendicular line will have a slope of -1/m. We can then express the line in vector form as r = (x₁, y₁) + t(a, b), where (x₁, y₁) is a point on the line and (a, b) is the perpendicular vector.

2c) To determine the relationship between two lines in R3, we again compare their slopes.

If the direction vectors of the lines are scalar multiples of each other, the lines are parallel.

If the lines have different direction vectors and do not intersect, they are distinct.

If the lines have different direction vectors but intersect at some point, they are incident or intersecting.

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Answer:

85%

Step-by-step explanation:

900-6000 divided by 6000

multiply your answer by 100

that will give you your answer

Answer:

multiply the area value by 100

To verifies that the real and imaginary parts of the given analytic function f(z)=z^2+2z+1 satisfy Laplace's equation by expressing f(z) in terms of its real and imaginary parts, separating the real and imaginary parts, computing the Laplacian of u(x,y) and v(x,y), and showing that both u(x,y) and v(x,y) satisfy Laplace's equation.

Following is the step-by-step explanation:

Express f(z) in terms of its real and imaginary parts:

Let z=x+iy, where x and y are real numbers. Then, f(z) can be written as:

f(z) = (x+iy)^2 + 2(x+iy) + 1

Expanding this expression, we get:

f(z) = x^2 + 2ixy - y^2 + 2x + 2iy + 1

Separate the real and imaginary parts:

From the expression for f(z) above, we can see that the real part is given by:

u(x,y) = x^2 - y^2 + 2x + 1

And the imaginary part is given by:

v(x,y) = 2xy + 2y

Compute the Laplacian of u(x,y) and v(x,y):

The Laplacian of a function u(x,y) is given by:

∇^2 u = ∂^2 u/∂x^2 + ∂^2 u/∂y^2

Similarly, the Laplacian of a function v(x,y) is given by:

∇^2 v = ∂^2 v/∂x^2 + ∂^2 v/∂y^2

Computing the partial derivatives of u(x,y), we get:

∂u/∂x = 2x + 2

∂u/∂y = -2y

∂^2u/∂x^2 = 2

∂^2u/∂y^2 = -2

Substituting these values into the Laplacian formula for u(x,y), we get:

∇^2 u = ∂^2u/∂x^2 + ∂^2u/∂y^2 = 2 - 2 = 0

Similarly, computing the partial derivatives of v(x,y), we get:

∂v/∂x = 2y

∂v/∂y = 2x + 2

∂^2v/∂x^2 = 0

∂^2v/∂y^2 = 0

Substituting these values into the Laplacian formula for v(x,y), we get:

∇^2 v = ∂^2v/∂x^2 + ∂^2v/∂y^2 = 0 + 0 = 0

Verify that both u(x,y) and v(x,y) satisfy Laplace's equation:

Since the Laplacians of both u(x,y) and v(x,y) are zero, we can conclude that both u(x,y) and v(x,y) satisfy Laplace's equation, which is given by:

∇^2 u = ∂^2 u/∂x^2 + ∂^2 u/∂y^2 = 0

∇^2 v = ∂^2 v/∂x^2 + ∂^2 v/∂y^2 = 0

Therefore, we have verified

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Answer:

20.4634146

Step-by-step explanation:

Rounded it be 20.46 or 20.5

Answer:

20.46

Step-by-step explanation:

just divide :)

have a nice day

The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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Emails, memos, and letters are written forms of communication, but they differ in terms of content and form. Emails are electronic messages typically used for quick, informal communication. Memos are internal documents used for formal communication within an organization. Letters are formal written communications sent externally, often to individuals or organizations outside of the sender's immediate environment.

Emails are commonly used for informal communication, whether within an organization or between individuals. They are typically concise and direct, often lacking the formalities and structure associated with memos and letters. Emails are often used for quick exchanges, sharing information, requesting or providing updates, and informal discussions.

Memos, on the other hand, are formal internal documents used within an organization. They usually follow a specific format, including headings, subject lines, recipient information, and a clear purpose. Memos are used to communicate important information, policy changes, directives, or reports within a business or department. They often have a more professional tone compared to emails and are typically archived for future reference.

Letters are formal written communications sent externally. They follow a traditional format with specific components such as salutations, addresses, dates, and signatures. Letters are used for official or business correspondence and can include inquiries, requests, formal complaints, or invitations. They require a more formal and respectful tone compared to emails and memos and are often used for official documentation or when a more personal touch is required.

In summary, while all three forms of communication serve the purpose of conveying information, emails are informal and quick, memos are formal internal documents within organizations, and letters are formal written communications sent externally. The content and format of each vary based on their intended purpose and target audience.

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Recall that the following definitions :

- mean: given a set of n data points, the mean is simply the sum of the data points divided by the total number of data points

-median: To calculate the median, you organize the data from least to greatest, the data point that has the exactly amount of data on the right and on the left, is the median. If the number of data points is even, you should add the two points that are "in the middle" and divide them by 2. Example

for the data set 5 4 2 3 1, if we organize it we get 1 2 3 4 5, so the median is 3. If we have the data set 1 2 3 4, there is no middle point, so we take 2 and 3, that are in the "middle" , we add them (2+3 =5) and divide them by 2 (2.5). So the median is 2.5

- the mode is the data point that has more observations, for example in the dataset 1 2 3 4 1 1 the mode is 1 since it appears 3 times.

a) The mean exists for every dataset. The median exists for every dataset that has more than two datapoints. In this case the mode is 63, so the three of them exist for this data set.

b) The smallest value is 31. Since we replace it by 27, the mean gets affected. Since we have the same amount of data and 27 is the smalles point, the median doesn't change. Since the occurrence of 27 is only one, the 27 remains unchanged. So only the mean changes.

c) If we remove 31, we will have less data, so the median changes. As before, the mean also changes. However, the mode remains the same.

d) If we calculate the mean of the dataset, we get that the mean is 61.5. The median is 63, so the median is greater.

A system having ΔG equal to zero means that the system is at equilibrium at standard conditions. This is option c. In a chemical reaction, ΔG represents the change in Gibbs free energy, which is a measure of the energy available to do work.

When ΔG is equal to zero, it indicates that the system is balanced, with the forward and reverse reactions occurring at the same rate. At equilibrium, the concentrations of reactants and products remain constant over time. For example, consider the reaction A ⇌ B. Initially, if we have more A than B, the forward reaction will be favored until equilibrium is reached. At equilibrium, the rate of the forward reaction equals the rate of the reverse reaction, and the concentrations of A and B remain constant. In this case, ΔG is zero.

It is important to note that while a ΔG of zero indicates equilibrium, it does not provide information about whether the reaction is spontaneous or nonspontaneous. The spontaneity of a reaction is determined by the sign of ΔG. If ΔG is negative, the reaction is spontaneous, while a positive ΔG indicates a nonspontaneous reaction.

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Answer:Yes I believe it does use strong evidence. Hope this helps

Step-by-step explanation:

Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.

To find the difference in time between Kyle's normal time and yesterday's time, we need to subtract his normal time from yesterday's time:

(21 minutes 38seconds)−(23 minutes 26 seconds)

(21 minutes 38 seconds)−(23 minutes 26 seconds)

We can first convert both times to seconds to make the subtraction easier:

=(21×60+38)seconds

−(23×60+26)seconds

=(21×60+38) seconds−(23×60+26) seconds

=(1298 seconds)−(1406 seconds)

=(1298 seconds)−(1406 seconds)

=−108 seconds

=−108 seconds

The result is negative because Kyle's yesterday's time is faster than his normal time. To find the positive difference, we can multiply by -1:

∣−108∣ =108seconds

∣−108∣= 108 seconds

Therefore, Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.

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The number of apples, considering that he has 1500 peaches, is given as follows:

9500.

The proportion between the peaches and the number of apples is given as follows:

peaches/apples = 15/94.

Applying cross multiplication, the relation used to find the number of apples is given as follows:

15 apples = 94 peaches.

As the number of peaches is of 1500, the number of apples is obtained as follows:

15 apples = 94 x 1500

apples = 95 x 1500 / 15

apples = 9500.

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Answer: It's using the table of 2 to continue the pattern of trains.

in the first fig the no. of carton is 0.

for the next one it is 2 and the next 4.

the pattern will thus continue with the multiplication table of 2.