Identify the graph that shows the feasible region for the following constraints. x ≥ 0, y ≥ 0, 2x + 3y ≤ 1500, 3x + 2y ≤ 1500

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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So answer is true For deductive arguments, you answer true to the question “Do the premises provide enough logical support for the conclusion

A valid argument is a deductive argument that succeeds in providing decisive logical support.

A valid argument is thus a deductive argument an argument that attempts to establish conclusive support for its conclusion  that succeeds.

An invalid argument is a deductive argument that fails in providing conclusive support.

For deductive arguments, you answer “yes” to the question “Do the premises provide enough logical support for the conclusion?” if the argument is valid, and you answer “no” if otherwise.

So answer is true For deductive arguments, you answer true to the question “Do the premises provide enough logical support for the conclusion

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Answer:

7

Step-by-step explanation:

3x- 1/9y = 18

value of x when y is 27

3x- 1/9*27 = 18

3x- 3 = 18

3x = 18 + 3

3x = 21

x= 21/3

x = 7

Hope this helps you!

Answer:

x = 7

Step-by-step explanation:

3x-1/9(27) = 18

x = 21/3

=7

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Angelica's monthly loan payment for this loan after she graduates in 4 years will be approximately $342.86.

We can use the loan payment formula for a fixed-rate loan to calculate Angelica's monthly loan payments.

Loan Payment = (P × r) / (1 - (1 + r)⁻ⁿ)

P = Loan principal amount ($18,000)

r = Monthly interest rate (annual interest rate divided by 12 months and multiplied by 0.01)

n = Total number of monthly payments (5 years multiplied by 12 months)

First, let's calculate the monthly interest rate:

r = (6.6 / 12) × 0.01 = 0.0055

Next, let's calculate the total number of monthly payments:

n = 5 years × 12 months = 60 months

Now we can substitute the values into the loan payment formula:

Loan Payment = (18,000 × 0.0055) / (1 - (1 + 0.0055)⁻⁶⁰)

Using a financial calculator or spreadsheet, the calculation gives us the monthly loan payment of approximately $342.86.

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Answer:

(0,-7)

Step-by-step explanation:

Factor out the x^2 and the 7x.

x(x+7)

Do the zero factor

x = 0

x = -7

Answer:

-4y+10

Step-by-step explanation:

To simplify 2(y+5) - 6y

First, distribute:

2y+10-6y

Combine like terms:

-4y+10

Hope this helps!

The equation of circle is (x - 9.2)^2 + (y + 7.4)^2 = 25/9.

To write the equation of a circle, we need the coordinates of the center and the length of the radius.

Given that the circle has a radius of 5/3 units and is centered at (9.2, -7.4), we can use these values to write the equation.

The equation of a circle with center (h, k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2

In this case, the center is (9.2, -7.4) and the radius is 5/3 units. Plugging these values into the equation, we have:

(x - 9.2)^2 + (y - (-7.4))^2 = (5/3)^2

Simplifying further, we get:

(x - 9.2)^2 + (y + 7.4)^2 = 25/9

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Answer:

c ?

Step-by-step explanation:

The integral that is an equivalent iterated integral in three of the five possible other orders is

I= \(\int\limits^9_0\)   \(\int\limits^{9-z}_0\)\(\int\limits^3_{\sqrt{9-y}\)  f(x, y, z)dzdydx

An integral in mathematics assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that come from merging infinitesimal data. The process of determining integrals is known as integration.

Consider the integral,

I=  \(\int\limits^3_0\)   \(\int\limits^9_{9-x^{2}}\)  \(\int\limits^{9-y}_0\)f(x, y, z)dzdydx

This implies that the solid is bounded by

0≤z≤9-y

9-x²≤y≤9

0≤x≤3

Therefore, y+z=9, z=0

y=9-x², y=9

x=0, x=3

Now, the region is given by,

y=9-x², y=9, x=3, x=0

The shaded region is the required region of the figure region.

For the next integral,

√9-y≤x≤3

0≤y≤9

I= \(\int\limits^9_0\)  \(\int\limits^3_{\sqrt{9-y}\)  \(\int\limits^{9-y}_0\)f(x, y, z)dzdydx

Here we have,

y+z =9, z=0

y=9-x², y=9

x=0, x=3

So, √9-y≤x≤3

The projection on the yz plane is,

y+z=0, z=0

y=9

0≤z≤9-y

0≤y≤9

I= \(\int\limits^9_0\)   \(\int\limits^{9-y}_0\)\(\int\limits^3_{\sqrt{9-y}\) f(x, y, z)dzdydx

Again, 0≤y≤9-z

0≤z≤9

I= \(\int\limits^9_0\)   \(\int\limits^{9-z}_0\)\(\int\limits^3_{\sqrt{9-y}\)  f(x, y, z)dzdydx

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Assuming all else remains constant, increasing the sample size from 25 to 100 will generally result in a narrower confidence interval around the mean. increasing the sample size generally leads to a more precise estimate of the population mean, resulting in a narrower confidence interval around the mean.

This can be since the standard blunder of the cruel, which measures the changeability of the test cruel around the populace cruel, diminishes as the test estimate increments. As the standard blunder diminishes, the edge of the blunder (which is based on the standard mistake and the chosen certainty level) diminishes, coming about in a smaller certainty interim.

The relationship between the test measure and the width of the certainty interim is contrarily corresponding. This implies that as the test measure increments, the width of the certainty interim diminishes, and as the test measure diminishes, the width of the certainty interim increments.

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If the jobs are sequenced according to the SLACK rule, Job A would be completed on day 12.

The SLACK rule involves calculating the slack time for each job, which is the difference between the due date and the completion time. The job with the least slack time is prioritized and scheduled first. In this case, the due dates for the jobs are as follows: Job A (12), Job B (15), Job C (17), Job D (10), and Job E (8).

Job A has a processing time of 8 days and a due date of 12, so the slack time is 12 - 8 = 4 days. Since Job A has the least slack time among all the jobs, it would be completed on day 12. Therefore, the answer is D. 12.

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Answer:

The length of one of it's sides is 4

Step-by-step explanation:

4 x = 16 x 4 = 64

A cube is a 3 dimensonal square, meaning the lenght, widith, and height of the cube are all going to be teh same.

Answer:

Step-by-step explanation:

Prime factorize 64

Volume of cube = 64 in³

side³ = 64

         = 2*2*2*2*2*2

Take cube root,

\(\sqrt[3]{side*side*side} =\sqrt[3]{2*2*2 * 2*2*2}\\\\\\side= 2* 2\\\\side = 4 \ in\)

answer:

10:03 am

explanation:

9:00 am + 1 hour (60 min) + 3 min = 10:03 am.

Answer: -3

Step-by-step explanation:

Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.

Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.

Therefore, we would create the following equation based on the two-tangent theorem:

20x + 6 = 10x + 26

Combine like terms:

20x - 10x = -6 + 26

10x = 20

Divide both sides by 10:

10x/10 = 20/10

x = 2

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Answer:

(Y=mxtb)

Step-by-step explanation:

Answer: the answer to this is true

To determine the exact value of z in the equation logg + logg(z - 6) = logg 7z, we can simplify the equation using logarithmic properties. The exact value for z is z = 13 when g = 13.

After simplification, we obtain a quadratic equation, which can be solved using standard methods. The solution for z is z = 19.

Let's start by simplifying the equation using logarithmic properties. The logarithmic property logb(x) + logb(y) = logb(xy) allows us to combine the two logarithms on the left-hand side of the equation. Applying this property, we can rewrite the equation as logg((z - 6)(z)) = logg(7z).

Next, we can remove the logarithms by equating the expressions inside them. Therefore, we have (z - 6)(z) = 7z. Expanding the left side gives us z^2 - 6z = 7z.

Now, let's rearrange the equation to obtain a quadratic equation. Moving all terms to one side, we have z^2 - 6z - 7z = 0. Simplifying further, we get z^2 - 13z = 0.

To solve this quadratic equation, we can factorize it. Factoring out a z, we have z(z - 13) = 0. Setting each factor equal to zero, we get z = 0 and z - 13 = 0. Solving the second equation, we find z = 13.

However, we need to verify if this solution satisfies the original equation. Plugging z = 13 back into the original equation, we get logg + logg(13 - 6) = logg(7 * 13). Simplifying, we have logg + logg(7) = logg(91), which reduces to 1 + logg(7) = logg(91).

Since logg(7) is a positive constant, there is no value of g that will satisfy this equation. Therefore, z = 13 is an extraneous solution.

To find the correct solution, let's go back to the quadratic equation z^2 - 13z = 0. We can solve it by factoring out a z, giving us z(z - 13) = 0. Setting each factor equal to zero, we have z = 0 and z - 13 = 0. Solving the second equation, we find z = 13.

To verify if z = 13 satisfies the original equation, we plug it back in: logg + logg(13 - 6) = logg(7 * 13). Simplifying, we have logg + logg(7) = logg(91), which simplifies to 1 + logg(7) = logg(91).

Since logg(7) is a positive constant, we can subtract it from both sides of the equation: 1 = logg(91) - logg(7). Using the property logb(x) - logb(y) = logb(x/y), we can rewrite this as 1 = logg(91/7).

Simplifying further, we have 1 = logg(13). Therefore, the only value of g that satisfies this equation is g = 13.

In conclusion, the exact value for z is z = 13 when g = 13.


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Answer: the answer is b

Step-by-step explanation: since i helped can i have brainlist please it would be greatly apperacited.  :D

Answer:

C. s= 85m + 45

Step-by-step explanation:

Given data

She opened the account with $85

and deposited $85

The equation that best models the relationship is

s= 85m + 45

Hence option C is correct

This is an example of a theoretical probability.

Theoretical probability is calculated based on the possible outcomes and their likelihood without conducting any experiments or observations. In this case, the probability of getting a tail on the coin is 1/2 (since there are 2 sides) and the probability of getting a 2 on the six-sided die is 1/6 (since there are 6 sides).

To find the combined probability, you multiply the individual probabilities: (1/2) * (1/6) = 1/12, which equals approximately 8.3%.

This is an example of a theoretical probability, as it is based on the assumption of a fair six-sided die and a fair coin. The probability of getting a tail on the coin is 0.5, and the probability of rolling a 2 on the die is 1/6.

Multiplying these probabilities gives a theoretical probability of 0.5 ×1/6 = 1/12, which is equivalent to 8.3% (rounded to one decimal place).

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Answer:

83

Step-by-step explanation:

you go up so it is positive. it's up 83 so the number is 83.

Step-by-step explanation: The keyword is up. Since we're talking about integers and the keyword is up, the number is positive.

Therefore, the answer is 83, or say it like this, positive 83.

For example: Start at 0. Then go up by 83. (That's why there is a number line.

Answer:

12 plain and 18 milk

Step-by-step explanation:

convert it to fraction first: 2/5 are plain and 3/5 is milk

30÷5= 6

2x6=12

3x6=18

to check wheter or not it is correct add the amount. if it gets the total, it is correct.

The probability of getting a result as extreme or more extreme than 8 heads in one flip of 10 unbiased coins is 0.4375, or 43.75%. This probability is obtained by summing the probabilities of getting 9 heads and 10 heads, which are calculated as \((1/2)^9\) and \((1/2)^{10}\), respectively.

The probability of getting 9 heads can be calculated as the probability of getting 9 heads and 1 tail in any order. Since the probability of getting a head in a single flip is 1/2 and the probability of getting a tail is also 1/2, the probability of getting 9 heads is \((1/2)^9 * (1/2)^1 = 1/2^{10}\).

Similarly, the probability of getting 10 heads can be calculated as \((1/2)^{10}\).

To find the probability of getting a result as extreme or more extreme than 8 heads, we sum up the probabilities of these three outcomes:

Probability = \((1/2)^8 + (1/2)^9 + (1/2)^{10} = 0.4375\).

Therefore, the probability of getting a result as extreme or more extreme than 8 heads in one flip of 10 unbiased coins is 0.4375, or 43.75%.

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

105 m²

Step-by-step explanation:

Dividing the figure into 3 rectangle will be easier to find its area.

The area of the larger rectangle

= (10-5) × 13

= 65 m²

The total area of the 2 smaller rectangles

= 2 × (4×5)

= 40 m²

The area of the figure

= 65 + 40

= 105 m²

The probability that the sum of the numbers on four dice rolled is odd given the first dice/die shows an odd number is 5/8.

To calculate the probability of the sum of the numbers on four dice rolled being odd given that the first dice/die shows an odd number, we can use conditional probability.

Let A be the event that the sum of the numbers on four dice rolled is odd, and let B be the event that the first dice/die shows an odd number.

To find P(A|B), the probability of A given B, we can use the formula:

P(A|B) = P(A and B) / P(B)

To calculate P(B), the probability of the first dice/die showing an odd number, we know that there are 3 possible outcomes out of 6 (1, 3, 5) that satisfy this condition. So P(B) = 3/6 = 1/2.

To calculate P(A and B), the probability of both events occurring, we can use the fact that the sum of two odd numbers is always even, and the sum of two even numbers is always even.

Therefore, the only way for the sum of four dice to be odd is if there are an odd number of odd numbers rolled. We can use the binomial distribution to calculate the probability of this occurring.

Let X be the number of odd numbers rolled in four dice. Then X follows a binomial distribution with parameters n=4 (the number of trials) and p=1/2 (the probability of rolling an odd number on each die). The probability of X being odd is:

P(X is odd) = P(X=1) + P(X=3) = (4 choose 1) * (1/2)^1 * (1/2)^3 + (4 choose 3) * (1/2)^3 * (1/2)^1 = 1/4 + 4/16 = 5/16

Therefore, P(A and B) = P(X is odd) = 5/16.

Putting it all together, we have:

P(A|B) = P(A and B) / P(B) = (5/16) / (1/2) = 5/8

So, the probability that the sum of the numbers on four dice rolled is odd given the first dice/die shows an odd number is 5/8.

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If \(4^k ≡ 1 + 3k\) (mod 9), then \(4^(k+1) ≡ 1 + 3(k+1)\)(mod 9). Our assumption that \(log_2(3)\) is rational must be false, and we can conclude that \(log_2(3)\) is irrational.

a) To prove that \(4^n ≡ 1 + 3n\) (mod 9) for all positive integers n, we will use mathematical induction.

Base case: When n = 1, we have \(4^1 ≡ 1 + 3(1)\) (mod 9), which simplifies to 4 ≡ 4 (mod 9). This is true, so the base case holds.

Inductive step: Assume that \(4^k ≡ 1 + 3k\) (mod 9) for some positive integer k. We will show that this implies \(4^(k+1) ≡ 1 + 3(k+1)\) (mod 9).

Starting with \(4^(k+1)\), we can rewrite this as \(4^k * 4\). Using our induction hypothesis, we have:

\(4^k * 4 ≡ (1 + 3k) * 4\)(mod 9)

Expanding the right-hand side, we get:

(1 + 3k) * 4 ≡ 4 + 12k (mod 9)

Simplifying the right-hand side, we have:

4 + 12k ≡ 4 + 3(3k+1) (mod 9)

This can be further simplified to:

4 + 3(3k+1) ≡ 1 + 3(k+1) (mod 9)

Therefore, we have shown that if \(4^k ≡ 1 + 3k\) (mod 9), then \(4^(k+1) ≡ 1 + 3(k+1)\)(mod 9). By mathematical induction, we have proved that \(4^n ≡ 1 + 3n\) (mod 9) for all positive integers n.

b) To show that\(log_2(3)\) is irrational, we will use proof by contradiction.

Assume that \(log_2(3\)) is rational, which means that it can be expressed as a ratio of two integers in lowest terms:

\(log_2(3) = p/q\), where p and q are integers with no common factors.

Then, we can rewrite this as:

\(2^(p/q) = 3\)

Taking the qth power of both sides, we get:

\(2^p = 3^q\)

This means that \(2^p\) is a power of 3, which implies that \(2^p\) is divisible by 3. However, this contradicts the fact that \(2^p\) is a power of 2 and therefore can only have factors of 2.

Thus, our assumption that \(log_2(3)\) is rational must be false, and we can conclude that \(log_2(3)\) is irrational.

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