What is a rhombus Class 6?

Answers:

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Explanation:

Let's use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (6-4)/(5-2)

m = 2/3

The slope of the line is 2/3.

We can see that the responses for choices 1 and 3 are "no" because they involve a slope of 3/2.

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Recall that y-y1 = m(x-x1) represents the point slope form. The m is the slope and (x1,y1) is the point the line goes through.

If we plugged the point (x1,y1) = (2,4) , along with the slope m = 2/3, then we'll get to what choice 2 is saying

If we tried the other point (5,6), and kept m the same, then we'd get to choice 4.

That makes choices 2 and 4 "yes" responses.

Answer:

the answer is (3,4) is the solution to line A but not to line b

Answer:

3x + 5y = 5

Multiply by 2 on both sides.

-2x - 8y = -6

Multiply by 3 on both sides.

Step-by-step explanation:

Given system of equations:

\(\begin{cases} \;\;\:3x + 5y = 5\\-2x-8y = 6\end{cases}\)

To eliminate the x-terms in the given system of equations:

3x + 5y = 5 → Multiply  by 2 on both sides:

\(\implies 2(3x+5y)=2(5)\)

\(\implies 6x+10y=10\)

-2x - 8y = 6 → Multiply by 3 on both sides:

\(\implies 3(-2x - 8y) = 3(6)\)

\(\implies -6x - 24y = 18\)

Add them together to eliminate x:

\(\begin{array}{crcccc}&6x&+&10y&=&10\\+&(-6x&-&24y&=&18\\\cline{2-6} &&-&14y&=&28\end{array}\)

Answer:

Step-by-step explanation:

It is asking how many times the flower bed expanded:

Expanded:-

\(\\ \star\sf\longmapsto \dfrac{75}{4}\div \dfrac{25}{4}\)

\(\\ \star\sf\longmapsto \dfrac{75}{4}\times \dfrac{4}{25}\)

\(\\ \star\sf\longmapsto \dfrac{75}{25}\)

\(\\ \star\sf\longmapsto 3times\)

Answer:

12x -7

Step-by-step explanation:

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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Answer:

Step-by-step explanation:

unit price=44.28/9

=$4.92

To find the production level that will minimize the average cost, we need to differentiate the cost function with respect to x and set it equal to zero. So:

C'(x) = 0.005x^2 + 242x + 6000
0 = 0.005x^2 + 242x + 6000
Using the quadratic formula, we get:
x = (-242 ± sqrt(242^2 - 4(0.005)(6000))) / (2(0.005))
x = (-242 ± sqrt(146416)) / 0.01
x = (-242 ± 382) / 0.01
x = -14,000 or 27,000

Since the production level cannot be negative, we can discard the negative solution and conclude that the production level that will minimize the average cost is 27,000 units.

To find the minimal average cost, we need to plug the production level back into the cost function and divide by the production level. So:

C(27,000) = 6000 + 242(27,000) + 0.005(27,000)^2
C(27,000) = 6,594,000
Average cost = C(27,000) / 27,000
Average cost = 6,594,000 / 27,000
Average cost ≈ 244.22

Therefore, the minimal average cost is approximately $244.22.
To answer your question, first, let's correct the cost function, which should be in the form of C(x) = Fixed cost + Variable cost. Assuming it is C(x) = 6000 + 242x + 0.005x^2.

A) To find the production level that will minimize the average cost, we need to first determine the average cost function, which is AC(x) = C(x)/x. So, AC(x) = (6000 + 242x + 0.005x^2)/x.

Now, find the first derivative of AC(x) concerning x, and set it equal to zero to find the minimum point:

d(AC(x))/dx = 0

The first derivative of AC(x) is:

d(AC(x))/dx = (242 + 0.010x - 6000/x^2)

Setting this to zero and solving for x will give us the production level that minimizes the average cost:

242 + 0.010x - 6000/x^2 = 0

Now, you can solve for x using numerical methods, such as Newton-Raphson or others. After solving for x, you will get the production level that minimizes the average cost.

B) To find the minimal average cost, plug the production level x you found in part A into the average cost function, AC(x):

Minimal Average Cost = AC(production level)

This will give you the minimal average cost for the given cost function.

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Answer:

the first line is the answer

Answer:

Step-by-step explanation:

-2(2x+3)≤26

-4x-6≤26

-4x≤32

the tricky part.. b/c the negative sign moves across the inequality sign, ≤ , it is flipped to ≥.  But only when multiplying or dividing.. not for subtraction ..it's confusing , yes.

x≥-8

so X is equal to or greater than 8 ,  :)  does that help?

59 estimated by 65 would be 60.

To estimate a number by another number means to find a value that is close to the original number but is easier to work with or understand. Estimation is a method of making quick calculations or approximations, often without the use of a calculator or other precise tool.

To estimate 59 by 65, you can use rounding to the nearest ten. To do this, round both 59 and 65 to the nearest ten, which is 60. Therefore, 59 estimated by 65 is 60.

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The correct statement regarding the mode of the sample is given as follows:

a. can be larger, smaller or equal to the mode of the population.

The mode of a data-set is the observation that appears the most often in the data-set.

The mode of the sample is simply the most frequently occurring value in the sample. It is not necessarily expected to be the same as the mode of the population, which is the most frequently occurring value in the entire population.

As a sample is a group taken from an entire population, the observation that appears the most in the sample can be different from the more common observation in the population,

Hence, option (a) is correct.

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If the distribution of observations were perfectly symmetrical and unimodal, option B) The mean, median, and mode would be the same.

In a perfectly symmetrical and unimodal distribution, the mean, median, and mode would be equal. This is because in such a distribution, the data would be evenly spread around a central value. The mean is calculated by summing all the observations and dividing by the total number of observations. Since the distribution is symmetrical, the sum of the observations on one side of the central value would be equal to the sum on the other side, resulting in a balanced mean.

The median is the middle value when the observations are arranged in ascending or descending order. In a symmetrical distribution, the middle value would be the same as the central value, leading to the median being equal to the mean.

The mode represents the value that appears most frequently in the distribution. In a perfectly symmetrical and unimodal distribution, all values would occur with the same frequency, resulting in multiple modes. However, since the distribution is unimodal, meaning it has only one peak, all the modes would coincide, and the mode would also be equal to the mean and median. Therefore, in a perfectly symmetrical and unimodal distribution, the mean, median, and mode would all be the same value, leading to answer B) The mean, median, and mode would be the same.

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Answer:

?__________*_*__________?

In the first item, Erin has a total of 18 coins with a combined value of $2.05. The coins consist of nickels, dimes, and quarters. It is stated that the number of nickels is twice the number of quarters, and we are asked to determine the quantities of each coin.

Let's assign variables to represent the number of each coin. Let N be the number of nickels, D be the number of dimes, and Q be the number of quarters. We have three equations based on the given information:
N + D + Q = 18 (the total number of coins is 18)
5N + 10D + 25Q = 205 (the total value of the coins is $2.05)
N = 2Q (the number of nickels is twice the number of quarters)
To solve this system of equations, we can substitute N = 2Q into the first two equations. Substituting N with 2Q in equation 1 gives us:
2Q + D + Q = 18
3Q + D = 18
Substituting N with 2Q in equation 2 gives us:
5(2Q) + 10D + 25Q = 205
10Q + 10D + 25Q = 205
35Q + 10D = 205
Now we have a system of two equations with two variables. By solving these equations simultaneously, we can determine the values of Q, D, and N.

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Answer:

x = -5

Step-by-step explanation:

7 × 2 + 5 - x = 6 × 2 + 10

Multiply.

14 + 5 - x = 12 + 10.

Combine like terms.

19 - x = 24

Isolate x (I'm going to add x and subtract 24 from both sides to avoid changing signs)

-5 = x

Final answer

x = -5

it's A because it's asked you which number got the most dots basically

Answer:

12 years

Step-by-step explanation:

Given that

P = 5,600 e^0.0591

Reaching amount = 11,200

time period = t

We need to find out the time period i.e. t

So,

11,200 =  5,600 e^0.0591t

2 =  e^0.0591t

Now take the log on both the sides

ln2 = 0.0591t ln

t = ln2 ÷ 0.059

= 0.693147÷ 0.059

= 11.748

= 12 years

Answer:

12579 nearest ten = 12580

18375 nearest ten =  18370

The least positive number n that satisfies all of the conditions is n = 60.

To find the least positive number n that satisfies all of these conditions, we need to find the least common multiple (LCM) of the numbers 1, 2, 3, 4, and 5. The LCM is the smallest positive number that is divisible by all of these numbers.

To find the LCM, we can list the prime factors of each number and then take the highest power of each prime factor that appears in any of the numbers. The prime factorization of each number is:

1: 1

2: 2

3: 3

4: 2 x 2

5: 5

The highest power of each prime factor that appears in any of the numbers is:

2: 2 x 2

3: 3

5: 5

So the LCM is:

\(2 \times 2 \times 3 \times 5$ = 60\)

Therefore, the least positive number n that satisfies all of the conditions is n = 60.

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45divided by 3=15

15+2multiplied by 8 -12+42

First multiple 2 and 8=16

15+16-12+42

15+16=31

31-12+42

31-12=19

19+42=61

Answer is61

Answer:

x+8+2x-5. 2x+x+8-5. x=3

To formulate a linear programming model, let N represent the amount spent on newspaper advertising and R represent the amount spent on radio advertising.

The objective is to maximize the value of total audience exposure, which can be measured using the exposure index. Let's denote this as Z.
The constraints are as follows:
1. The budget constraint: N + R ≤ $5,000.
2. At least 25% of the budget must be spent on each type of media: N ≥ $1,250 and R ≥ $1,250.
3. The amount spent on local newspaper advertising must be at least twice the amount spent on radio advertising: N ≥ 2R.
Therefore, the linear programming model can be written as follows:
Maximize Z = 40N + 70R
Subject to:
N + R ≤ 5000
N ≥ 1250
R ≥ 1250
N ≥ 2R
(b) To solve this problem using Excel Solver, you can set up a spreadsheet model with the following columns: Newspaper Dollars Allocated, Radio Dollars Allocated, Total Exposure Index.
In the Newspaper Dollars Allocated column, input the formula "=N" to represent the amount spent on newspaper advertising. In the Radio Dollars Allocated column, input the formula "=R" to represent the amount spent on radio advertising.
In the Total Exposure Index column, input the formula "=40*N+70*R" to calculate the total exposure index based on the allocated budget.
Use Excel Solver to set up the optimization problem. Set the objective cell as the Total Exposure Index column and set the constraints for the budget, minimum spending, and newspaper-radio ratio.
After running the Solver, it will provide the optimal values for N and R (the amount spent on newspaper and radio advertising, respectively), as well as the maximum value of total audience exposure (rounded to the nearest integer).

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Answer:

The sides of the triangle are :

24cm, 28cm and 36cm

Step-by-step explanation:

A correlation coefficient is a statistic that tells us the strength and direction of the linear relationship between two variables.

The correlation coefficient is a measure of the degree of association between two variables. It quantifies how closely the data points align along a straight line. The coefficient can range from -1 to +1, where -1 represents a perfect negative linear relationship, +1 represents a perfect positive linear relationship, and 0 indicates no linear relationship.

The sign of the coefficient indicates the direction of the relationship, while the magnitude indicates the strength. A correlation coefficient of 0 does not necessarily imply the absence of any relationship; it only means that there is no linear association between the variables. It is important to note that correlation does not imply causation, as other factors may be influencing the relationship.

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Answer:

160 months

Step-by-step explanation:

just took that ap3x quiz yerrr