Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 2y 3z 10 2x 2y + 3z -2 y + 3z = 2 4x (x, y, z) =

Answer:

The chance will be the same (4/7)

Step-by-step explanation:

Old bag

p(blue)=4/7

New bag

p(blue)=8/14=4/7

The chance will be the same (4/7) since both the red and the blue marbles are doubled at the same time implying that the ration of red to blue still remails the same.

I hope the explanation is clear. If so rate brainliest please

Answer:

19

Step-by-step explanation:

If the number of skits is x we can write:

9x + 5 = 176

9x = 171

x = 19

60,20,,30 is the answer

Answer:

5 in

Step-by-step explanation:

mean is average, add the measurements and divide them by the amount of pencils.

Answer:

40

Step-by-step explanation:

you do 2+6=8+9=17+3=20+8=28+5=33+3=36+4=40 which is your answer to the problem

The statement that is NOT necessarily true is (e) If Q is another transition matrix for a Markov chain on n states, then a transition matrix for a Markov chain.

To determine which statement is NOT necessarily true, let's examine each option:

(a) p² is a transition matrix for a Markov chain.

This statement is true. When we multiply a transition matrix P by itself (P²), the resulting matrix is still a transition matrix for a Markov chain. This is because the entries of P² represent the probabilities of transitioning from one state to another in two steps.

(b) P is an n x n matrix.

This statement is true. In a Markov chain with n states, the transition matrix P will indeed be an n x n matrix. Each row and column correspond to a state, and the entries represent the probabilities of transitioning from one state to another.

(c) If P is invertible, then P⁻¹ is a transition matrix for a Markov chain.

This statement is true. If the transition matrix P is invertible, then its inverse P⁻¹ is also a transition matrix for a Markov chain. The inverse represents the probabilities of transitioning backward in the chain.

(d) If Q is another transition matrix for a Markov chain on n states, then PQ is a transition matrix for a Markov chain.

This statement is true. If Q is a transition matrix for a Markov chain and P is a transition matrix for another Markov chain on the same n states, then the product PQ represents the probabilities of transitioning from one state to another in two consecutive steps, resulting in a new Markov chain.

(e) If Q is another transition matrix for a Markov chain on n states, then a transition matrix for a Markov chain.

This statement is NOT necessarily true. The statement is incomplete and does not provide enough information to determine its validity. Without specifying the operation or relationship between Q and the transition matrix, we cannot make a conclusive judgment.

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Answer:

3n-5=8n+4

Step-by-step explanation:

The 95% confidence interval for the mean amount (in milligrams) of nicotine in the sampled brand of cigarettes is C.39.2 to 40.8

We can use a t-table or a calculator to calculate the t-score. The t-score for a 95% confidence interval with 22 degrees of freedom (n-1) is around 2.074.

When we plug in the values, we get:

CI = 40 ± 2.074 * 1.8/√23 = 40 ± 0.763 = (39.237, 40.763)

As a result, the 95% confidence interval for the mean nicotine content of the studied cigarette brand is (39.237, 40.763) mg.

Because 39.2 to 40.8 is the closest response choice, the answer is 39.2 to 40.8.

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The output value of the function h(1) = -2.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

By critically observing the graph of the function h, we can reasonably infer and logically deduce the following parameters or output values;

h(-7) = -1.

h(-2) = 4.

h(1) = -2.

h(2) = 2.

h(5) = 1.

h(6) = -4.

h(7) = 1.

In conclusion, we can reasonably infer and logically deduce that with an input value of 1, the output value of this function h(1) is equal to -2.

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Answer:

D, since 7 is less than 10.

Answer:

The radius would be 11ft.

Step-by-step explanation:

So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.

Hope that helps. x ps. Love the fact the picture is upside down :)

Answer: 2y4 + 4y2

Step-by-step explanation:

2y3 + 4y2

2y4 + 4y2✔

1/2y3 + 1y2

1/2y4 + 4y2

The solutions for the given inequality are x = -5.3 and x = -7.

Given an inequality,

-12 > 3x - 2

We have to find whether the values of x given are solutions of the inequality given.

For x = -1,

-12 > (3)(-1) - 2

-12 > -5, is false.

So x = -1 is not a solution.

For x = -5.3,

-12 > (3)(-5.3) - 2

-12 > -17.9, is true.

So x = -5.3 is a solution.

For x = -3,

-12 > (3)(-3) - 2

-12 > -11, is false.

So x = -3 is not a solution.

For x = -7,

-12 > (3)(-7) - 2

-12 > -23, is true.

So x = -7 is a solution.

Hence the solutions are x = -5.3 and x = -7.

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Answer:

B.

Step-by-step explanation:

First find the other two angles in the triangle using supplementary angles.

They are 90° and 55°

Now just subtract them from 180

180 - 90 - 55 = 35°

9514 1404 393

Answer:

Step-by-step explanation:

1) Comparing the two equations, we see that the multiplier 'x' is missing from both sides in equation B. That is, it has been divided out:

  (5x)/x = (3x)/x   ⇒   5 = 3

Both sides have been divided by x.

__

2) The equations are equivalent if and only if x ≠ 0. Unfortunately, in equation A, the only solution is x = 0. For equations like the one in A, it is better to subtract one side from both:

  5x -3x = 3x -3x   ⇒   2x = 0

Now, dividing by 2, it is clear that the solution is x = 0.

Equations A and B are not equivalent, because the condition on the division property of equality was violated (you cannot divide by 0).

Answer:

They look about right

Step-by-step explanation:

The number of square meters of paint needed to cover the surface is 149.90m²

From the question, we are to determine the number of square meters of paint needed to cover the surfaces

The number of square meters of paint needed to cover the surfaces is equal to the surface area of the solid

Now, we will calculate the surface area of the composite solid

Surface area of the composite solid = \(\pi r^{2} + 2\pi rh_{c} + 2(lh + wh) + lw-\pi r^{2}\)

Where r is the radius of the cylindrical top

\(h_{c}\) is the height of the cylindrical top

\(l\) is the length of the box

\(h\) is the height of the box

\(w\) is the width of the box

From the given information,

r = 2 m

\(h_{c}\) = 3 m

\(l\) = 9 m

\(h\) = 2.4 m

\(w\) = 5 m

Putting the parameters into the equation, we get

Surface area of the composite solid = \((\pi \times 2^{2} )+ (2\pi \times 2 \times 3) + 2(9\times2.4 + 5\times2.4) + 9\times5-(\pi \times 2^{2} )\)

= \((12\pi ) + 2(21.6 + 12) + 45\)

= \(12\pi + 2(33.6 ) + 45\)

= \(12\pi +67.2+ 45\)

\(= 12\pi +112.2\)

\(= 37.699 +112.2\)

\(= 149.8991\) m²

∴ Surface area of the composite solid ≅ 149.90m²

Hence, the number of square meters of paint needed to cover the surface is 149.90m²

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Answer:

3x-y) (2x+5y) b. 12z3-6z²+18z. 6z(2z²-z+3) d. 612-1-2. (3+-2)(2++1) f. 6x²-17x+10 ... 5x²-15x+2= x²+10x-4. 4x²-25x+6=0. (4x-1)(x-6)=0 x= = x=6 x={=,65. 2.

Step-by-step explanation:

thats awnser ...

Answer:

Shoprite

Step-by-step explanation:

At giant each case of water is 4.33 You can figure this out by dividing the overall cost of 12.99 by 3 and that gives you the cost of one case of water. At Shoprite you get 4 cases for 12.00 again you divide the overall cost of 12.00 by 4 and that gives you 3.00 so you get a better deal at shoprite there fore shoprite is the better place to shop for water

if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.

The installment amount per month is $4,500, and the repayment term is 240 months.

Total repayment = Installment amount per month * Repayment term

Total repayment = $4,500 * 240

Total repayment = $1,080,000

Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

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Answer:

B) 2.5

Step-by-step explanation:

To find the rate of change you need to find the slope.

Slope is Rise over Run (Rise/Run)

How many times do you need to rise to get to the same height of the point of 2? 5 times

Next how many times do you need to run to get to the same length of 2? 2

Rise=5 Run=2

5/2 or 2 1/2

And since 1/2 is the same as 0.5 we can replace the 1/2 as 0.5 and the answer will be 2.5

Hope this helps!

Answer:

breadth does it 9 feet

12 feet

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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Answer:

The third option is wrong becuase x isn't a defined variable, and they specified that the book must be at least 250 pages, which means that it can't be less.

The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Given a Math exam with 7 short answer questions and Peter intending to answer three of them, there are a total of 35 different combinations of short answer questions he can choose.

To determine the number of combinations, we can use the concept of combinations in combinatorics. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where:

C(n, r) represents the number of combinations of choosing r items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers up to n.

In this case, Peter wants to answer three out of the seven questions, so we can calculate it as:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!)

Simplifying further:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

4! = 4 * 3 * 2 * 1

C(7, 3) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / [(3 * 2 * 1) * (4 * 3 * 2 * 1)]

After canceling out common terms, we get:

C(7, 3) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Therefore, there are 35 different combinations of short answer questions Peter can choose to answer.

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a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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Answer:

\(\frac{25}{16}\)  

I hope this helps!

The required derivative of the given function is f'(x) = -2x.

Given function f(x) = 6 - x².

To find f'(x) using the limit of the difference quotient.

The limit of the difference quotient formula is:

f'(x) = lim (h → 0) [f(x+h) - f(x)] / h

Substitute the given function f(x) = 6 - x² in the above formula.

f'(x) = lim (h → 0) [f(x+h) - f(x)] / h

= lim (h → 0) [6 - (x + h)² - (6 - x²)] / h

= lim (h → 0) [6 - x² - 2xh - h² - 6 + x²] / h

= lim (h → 0) [-2xh - h²] / h

= lim (h → 0) h(-2x - h) / h

= lim (h → 0) -2x - h= -2x

Therefore, f'(x) = -2x

Hence, the required derivative of the given function is f'(x) = -2x.

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