The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3,7) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is CD and point C is at (8,2).
The equation is

Answer:

original price was $8

Step-by-step explanation:

Ashley buy a hamster wheel during the sale (25% off). If Ashley pay $6, what was the original price?

$6 = 75% of price

75% = 0.75

6 = 0.75x

divide both sides by 0.75:

6/0.75 = 0.75x/0.75

x = 8

original price was $8

Start at -4 on the number line. Then move 5 units to the right to get to 1, which is where point C is located.

This shows -4+5 = 1 which is the same as saying 5+(-4) = 1 or 5-4 = 1.

Here's one real world application:

You are on basement level 4, meaning you are 4 floors below the ground floor. If you take the elevator up 5 floors, then you'll end up on the first floor of the building.

Answer:

im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer

12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4

please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand

Answer:

Step-by-step explanation:

The inflation is when prices for most of the goods increase with much less income raise.

Closest answer choice is C, provided it was followed up by price increase of most goods.

in both cases, the flux through the base D is -1.02. Given the information provided, let's analyze the flux of the constant vector field \(F = a\mathbf{i} + b\mathbf{j} + c\mathbf{k}\) through the surface S:

Which is the curved and slanted face of the cone. Step 1: Determine the orientation of the surface S.

Since the surface S is oriented upward, we need to consider the normal vector pointing outward from the surface.

Step 2: Calculate the flux through the surface S.

The flux of a vector field through a surface is given by the surface integral \(\iint_S \mathbf{F} \cdot \mathbf{dA}\), where \(\mathbf{dA}\) is the vector differential area element pointing outward from the surface.

Given that \(\iint_S \mathbf{F} \cdot \mathbf{dA} = 1.02\), we can conclude that the flux through the surface S is 1.02.

Step 3: Evaluate the flux through the base D.

The base D of the cone is the disk in the plane \(z = 1\). Since the base is oriented downward, the normal vector will point in the opposite direction from that of the surface S.

Since the flux through the base D, denoted as \(\iint_D \mathbf{F} \cdot \mathbf{dA}\), is the negative of the flux through the surface S, we have \(\iint_D \mathbf{F} \cdot \mathbf{dA} = -1.02\).

Now, if we consider the vector field \(F = a\mathbf{i} + b\mathbf{j} + c\mathbf{k}\), we can follow the same steps as above to find the flux through the base D.

Given that \(\iint_S \mathbf{F} \cdot \mathbf{dA} = 1.02\), the flux through the base D, denoted as \(\iint_D \mathbf{F} \cdot \mathbf{dA}\), would be the negative of 1.02, i.e., \(\iint_D \mathbf{F} \cdot \mathbf{dA} = -1.02\).

Therefore, in both cases, the flux through the base D is -1.02.

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Answer:

y = -1

Step-by-step explanation:

I'll solve for "y" since there is no "x"

First expand the numbers inside the parenthesis by multiplying -4

-4y  + 8 =12

Subtract 8 from both sides to isolate -4y

-4y = 4

divide both sides by -4 to get "y"

y= -1

Lol i dont know

hehe

Answer:

the 2 statistical questions are B and C

The total number of students is equal to 16 students.

We are given that the accompanying histogram shows the heights of the students in Kyra's health class.

A histogram is a graph that shows the frequency of numerical data with the help of rectangular bars.

The height of a rectangle (the vertical axis) represents the distribution frequency of a variable ( amount).

We need to calculate the total number of students in the class.

We can see that for the first interval, the frequency is given as:

F1 = 2

For the 2nd interval, the frequency is given as:

F2 = 4

For the 3rd interval, the frequency is given as:

F3 = 5

For the 4th interval, the frequency is given as:

F4 = 4

For the 5th interval, the frequency is given as:

F5 = 1

The total students = 2 + 4 + 5 + 4 + 1

Total number of students = 16 students.

Therefore, the total number of students is equal to 16 students.

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Answer:

sin(B) = 4/5

cos(B) = 3/5

tan (B) = 4/3

Step-by-step explanation:

soh cah toa

The random variable in this scenario is the speed of the cable internet connection. Specifically, it is the mean speed of the connection over a period of time.

In statistical terms, the mean speed is the sample mean of the speeds measured during the test. To determine if the mean speed is more than three megabits per second, a hypothesis test can be performed. The null hypothesis would be that the mean speed is equal to or less than three megabits per second, while the alternative hypothesis would be that the mean speed is greater than three megabits per second.

The test would involve collecting a sample of speed measurements, calculating the sample mean, and comparing it to a critical value or p-value to determine if the null hypothesis can be rejected in favor of the alternative hypothesis. This process requires a long answer because it involves several steps and statistical concepts.

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The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

The mean of the total length for both Alex and Brandon can be determined by multiplying the mean length of a single stick by the number of sticks required for each toy. In this case, each toy requires four 9-inch long sticks.

Mean of the total length for both Alex and Brandon: 4 sticks * 9 inches = 36 inches.

Since both Alex and Brandon have sticks with the same mean length and standard deviation, the standard deviation of the total length for both of them remains the same.

Standard deviation of the total length for both Alex and Brandon: 0.17 inches.

Therefore, The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

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Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

The system 2x+3y=12 and 2x+3y=18 does not have any solution

The given system of equations is:

2x + 3y = 12 ...(1)

2x + 3y = 18 ...(2)

We can rewrite the equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, as follows:

Equation (1): 3y = -2x + 12 => y = (-2/3)x + 4

Equation (2): 3y = -2x + 18 => y = (-2/3)x + 6

From the equations in slope-intercept form, we can see that the two lines have the same slope of -2/3, which means they are parallel.

Parallel lines never intersect, which means there are no solutions to the given system of equations.

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The length of line segment AB in the triangle using the midsegment theorem is 64.

The Midsegment Theorem states that "the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side."

From the diagram:

Midsegment = 3x + 5

Third side = 7x + 1

First, we solve for x, using the midsegment theorem:

( 3x + 5 ) = 1/2 × ( 7x + 1 )

Multiply both sides by 2:

2( 3x + 5 ) = ( 7x + 1 )

6x + 10 = 7x + 1

Collect and add like terms:

7x - 6x = 10 - 1

x = 10 - 1

x = 9

Now, we solve for line AB:

Line AB = 7x + 1

Plug in x = 9

Line AB = 7(9) + 1

Line AB = 63 + 1

Line AB = 64

Therefore, the line segment AB is 64.

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Answer:its 5

Step-by-step explanation: cuz

Answer:

m = 7.25

Step-by-step explanation:

8m + 7 - 5 = 60

Evaluate like terms.

8m + 2 = 60

Isolate 8m.

8m = 60 - 2

Evaluate.

8m = 58

Find m.

m = 58 ÷ 8

m = 7.25

Answer:

Step-by-step explanation:

l8m+7l = 65

(8m+7) = 65     or    -(8m+7) = 65

8m = 65-7   or      -8m = 65 + 7

m= 58/8    or       m = 72/(-8)

m= 7. 25 or      m = -9

Answer: The answer to that would be -17/6.

Step-by-step explanation: I literately just did this problem I think. I also have a fractions calculator.

Anyway I hope this helps!!!!!!!!!!

Answer:

- 17/6

Step-by-step explanation:

1/2 + 2/3b when b=-5

The first thing you need to do is replace the variable b with -5:

\(\frac{1}{2} +\frac{2}{3} (-5)\)

Now solve:

\(\frac{1}{2} +\frac{2}{3} (-5)= -\frac{17}{6}\)

Answer: It would be 2,0 :) Please tell me if I'm wrong

Step-by-step explanation:

Answer:

105,000

Step-by-step explanation:

A teacher' average salary is at the bottom line, which according to the graph means $60,000. When we look at the doctors graph, it is one of the highest salary in the graph. It does halfway above 160,000 so we can say it is 165,000. Subtract 165,000 - 60,000 and you get 105,000. Let me know if you got it right!

The claim is that more than 18% of high school students smoke at least one pack of cigarettes a day. Using a sample of 150 students, the test is conducted to determine if there is evidence to support this claim.

The null hypothesis (H0) assumes that the proportion is equal to or less than 18%, while the alternative hypothesis (H1) states that it is greater than 18%. With a significance level of α = 0.05, the critical value is found to be approximately 1.645. Calculating the test statistic using the sample proportion (p = 0.2), hypothesized proportion (p0 = 0.18), and sample size (n = 150), we obtain the test statistic value. By comparing the test statistic to the critical value, if the test statistic is greater than 1.645, we reject H0 and conclude that there is evidence to suggest that more than 18% of high school students smoke at least one pack of cigarettes a day.

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The frog's probability of being on lily pad B after an hour (or in the long run) is around 0.2975 or 29.75%.

To calculate the probability that the frog will be on lily pad B after an hour, we can start by calculating the long-run distribution or steady-state probabilities of the frog's movement between the two lily pads.

Let p represent the probability that the frog is on lily pad B at any given time. We may develop two equations based on the probabilities given in the problem:

p = 0.85(1-p) (the frog moves from point A to point B with a probability of 0.85 and stays on point B with a probability of 1-p).

1-p = 0.65p (the frog moves from B to A with the probability of 0.65 and stays on A with the probability of 1-p).

Simplifying the equation, we get:

p = 0.85 - 0.85p + 0.65p

p = 0.85(1 - 0.65) = 0.2975

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Answer:

200000x

Step-by-step explanation:

The Actual Answer Is --  A.) 2.0 × 10–7 --

2020

The optimal feasible solution is x1 = 1, x2 = 0.4, and the problem is a regular linear programming problem.

To solve the given linear programming problem, let's define the decision variables and formulate the objective function and constraints:

Decision Variables:

x1, x2

Objective Function:

Maximize: 2x1 + 6x2

Constraints:

2x1 + 5x2 ≤ 4

4x1 + x2 ≤ 6

x1, x2 > 0

To find the optimal feasible solution, we can use a linear programming solver. Here is the optimal solution for the given problem:

Optimal Solution:

x1 = 1

x2 = 0.4

The maximum value of the objective function is obtained when x1 = 1 and x2 = 0.4. The maximum value is 2(1) + 6(0.4) = 4.8.

Now let's analyze if the solution is a special case of linear programming.

This problem falls under the category of Linear Programming (LP) problems. However, it does not represent any specific special case of LP such as degeneracy, unboundedness, or infeasibility. The given problem has a feasible solution, and the objective function is maximized within the given constraints. Hence, it is a regular LP problem without any special case conditions.

Note: Since the solution is text-based, there is no need to scan or provide a separate file.

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Answer:

polygon B = 20 meters

Step-by-step explanation:

polygon A : polygon B

3 : 4

15 : x

first take 15 and divide by 3, this would tell us how much it went up by:

15 ÷ 3 = 5

next, take 4 and multiply it by 5:

4 x 5 = 20

this means that polygon B is 20 meters

The correct answer is: Yes, relation Q is a function,because there is exactly one y-value for every x-value.

To determine whether the given relation Q is a function, we need to check if each x-value is associated with a unique y-value. If there is any x-value that corresponds to multiple y-values, then the relation is not a function.

Let's examine the ordered pairs in relation Q: (3, -2), (-3, 1), (-2, -2), (1, -3).

We can see that each x-value in Q is associated with a unique y-value:

For x = 3, the y-value is -2.

For x = -3, the y-value is 1.

For x = -2, the y-value is -2.

For x = 1, the y-value is -3.

Since each x-value is paired with a unique y-value in relation Q, we can conclude that Q is a function.

In a function, every input (x-value) maps to a single output (y-value). If there were any repeated x-values with different y-values in the relation, it would indicate a violation of this rule and Q would not be a function. However, in this case, all the x-values have distinct y-values, satisfying the criteria for a function.

It's worth noting that we can also visualize this relation on a coordinate plane and check if there are any vertical lines that intersect the graph at more than one point. If there are no such lines, it confirms that the relation is a function.

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The pH of the cleaning compound is found to be approximately 9.43.

The hydrogen ion concentration, [H+], in a certain cleaning compound is [H+] = 3.7 times 10⁻¹⁰

We will use the formula pH = - log [H+] to find the pH of the cleaning compound.

Acidic and basic compounds are measured on the pH scale, which ranges from 0 to 14.

A pH of 7 is considered neutral, a pH less than 7 is acidic, and a pH greater than 7 is basic.

The lower the pH, the more acidic the compound, and the higher the pH, the more basic the compound.

pH = - log [H+]

We can substitute the given hydrogen ion concentration value in the above formula to obtain the pH of the cleaning compound.

pH = - log 3.7 × 10⁻¹⁰

pH = - (- 9.43)

pH = 9.43

Therefore, the pH of the cleaning compound is approximately 9.43.

Note: 1. When finding the pH value using the formula, we should remember to put the hydrogen ion concentration in brackets "[ ]" and use the base 10 logarithm.

2. We need to keep the significant figures when reporting the final answer. Here, the pH value is given up to two decimal places, so we also need to round off our answer to two decimal places.

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Step-by-step explanation:

Number of bushels after 5 days

= 120 - 5(16.75)

= 36.25 = 36 1/4 bushels.

Okay, so let's call B = the number of sandwiches Bill sells

and P = the number of sandwiches Pete sells

Since Bill sells 7 times as many sandwiches as Pete, then

B = 7P

And the difference between their sales is 414 sandwiches. Since we know that Bill sells more than Pete, then

B - P = 434

So, now we can substitute for B from the equation above B = 7P

x = bill's

y = pete's

x = 8y

B - P = 434

7P - P = 434

6P = 434

P = 72.33

Therefore, Pete sells 72.33 sandwiches

Bill sells 7 x 72.33 = 506 sandwiches.

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