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Answer: 4

Step-by-step explanation:

The factors of 12 are 1, 2, 3, 4, 6, and 12. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2.

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After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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Answer:

a) Finding value of y:

8y+4+4y+7=107

12y+11=107

12y =107-11

12y =96

y = 96/12

y = 8

b) RS= 8y+4

= 8(8)+4

= 64+4

= 68

ST= 4y+7

= 4(8)+7

= 32+7

= 39

To write and evaluate an addition expression to determine Tressa's current score, we need to subtract the number of points she loses from her original score. The original score is 57.9 points and she loses 8.6 points.

So, Tressa's current score can be determined by adding the difference (which is -8.6) to her original score. Therefore, the addition expression to determine Tressa's current score can be written as:

57.9 + (-8.6)

To evaluate this expression, we simply need to add the numbers:

57.9 + (-8.6) = 49.3

Therefore, Tressa's current score is 49.3 points.

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The trigonometry functions when calculated are sin(A) = 18/34 and cos(A) = 30/34

From the question, we have the following parameters that can be used in our computation:

The right triangle

Where we have

Using the above as a guide, we have the following:

sin(A) = 18/34

cos(A) = 30/34

Hence, the values are sin(A) = 18/34 and cos(A) = 30/34

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Answer:

The change represents decay.The percentage decrease is 97%

Step-by-step explanation:

The change represents decay because the exponential base is less than 1. In this problem, the base is 0.3, which is smaller than 1. To find the percentage decrease, you must subtract 100% from 3%. This gives us a decrease of 97%.

The correct symbol used on a diagram to represent a disjoint, or nonoverlapping, subtype is option C, which is an empty circle that is placed between the supertype and subtype.

This symbol is often used in entity-relationship diagrams (ERDs) to indicate that a subtype is exclusive to the supertype, meaning that an entity can only be a member of one subtype at a time. The empty circle symbol is used to distinguish disjoint subtypes from overlapping subtypes, which are represented by a circle with an 'o' in it that is placed between the supertype and subtype.

Another symbol that is sometimes used in ERDs to represent a disjoint subtype is a double horizontal line that is placed between the supertype and subtype, but this symbol is less common than the empty circle. Overall, it's important to use clear and consistent symbols in ERDs to accurately represent the relationships between entities and subtypes.

In a diagram, to represent a disjoint or nonoverlapping subtype, you should use option b: a circle with a 'd' in it that is placed between the supertype and subtype. This symbol indicates that the instances of the subtypes are mutually exclusive, meaning an instance of the supertype can belong to only one subtype at a time.

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Answer:

A more intuitive characteristic of exponential decay for many people is the time required for the decaying quantity to fall to one half of its initial value. This time is called the half-life, and often denoted by the symbol t1/2. The half-life can be written in terms of the decay constant, or the mean lifetime.

Step-by-step explanation:

Let A = PDP-¹ and P and D as shown below:$$\begin{bmatrix}10 & 1 \\3 & -2\\5 & 0\end{bmatrix} = \begin{bmatrix}1 &

2 & -1 \\2 & 1 &

2 \\2 & -2 &

Let's begin by raising D to the power of 4.

$$D^4=\begin{bmatrix}3 & 0 \\0 & 6 \\0 & 0\end

{bmatrix}^4 = \

begin{bmatrix}3^4 & 0 \\0 & 6^4 \\0 &

0\end{bmatrix} = \begin{bmatrix}81

& 0 \\0 & 1296 \\0 & 0\

end{bmatrix}$$

So now, we just need to substitute in

D^4 into A:$$\

begin{aligned}

A4 &= (PDP^{-1})^4\\

&= (PDP^{-1})

(PDP^{-1})

(PDP^{-1})(PDP^{-1})\\

&= PDP^{-1}PDP^{-1}PDP^{-1}PD\\

&= PD(P^{-1}P)D(P^{-1}P)DP^{-1}\\

&= PDDDP^{-1}\\

&= P \begin{bmatrix}81 & 0 \\0 & 1296 \\0 & 0\end{bmatrix} P^{-1}\\

&=\boxed{\begin{bmatrix}787 & 1104

& -825 \\1104

& 1621 & -1210 \\-825

& -1210

& 908\end{bmatrix}}\end{aligned}$$

Therefore, the answer is A4 = $\

begin{bmatrix}787 & 1104

& -825 \\1104 & 1621

& -1210 \\-825

& -1210

& 908\end{bmatrix}$.

We're given the following:Let A = PDP-¹ and P and D as shown below:$$\

begin{bmatrix}10 & 1 \\3 & -2\\5

& 0\end{bmatrix} = \begin{bmatrix}1

& 2 & -1 \\2 & 1 & 2 \\2

& -2 & 1\end{bmatrix}\begin{bmatrix}3

& 0 \\0 & 6 \\0

& 0\end{bmatrix}\begin{bmatrix}\frac{1}{6}

& \frac{1}{6}

& \frac{2}{3} \\-\frac{1}{6}

& \frac{1}{6}

& \frac{2}{3} \\-\frac{1}{6}

& -\frac{2}{6}

& \frac{1}{3}\end{bmatrix}$$

We're asked to compute A4, which can be done as follows:$$\begin{aligned}

A4 &= (PDP^{-1})^4\

\&= (PDP^{-1})(PDP^{-1})(PDP^{-1})(PDP^{-1})\

\&= PDP^{-1}PDP^{-1}PDP^{-1}PD\\

&= PD(P^{-1}P)D(P^{-1}P)DP^{-1}\\

&= PDDDP^{-1}\\

&= P \begin{bmatrix}81 & 0 \\0 & 1296 \\0 & 0\end{bmatrix} P^{-1}\\

&=\boxed{\begin{bmatrix}787 & 1104 & -825 \\1104 & 1621 & -1210 \\-825

& -1210

& 908\end{bmatrix}}\end{aligned}$$ Therefore, it's sufficient to raise each element in the diagonal to the power of 4.

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The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.

However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.

To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.

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Answer:

Step-by-step explanation:

l// m , t is transversal.

Corresponding angles are equal.

3x - 20 = 2x + 10

Add 20  to both sides

3x  = 2x + 10 + 20

3x = 2x + 30

Subtract 2x from both sides

3x - 2x = 30

x = 30

Given: \( {x}^{2} - 7x + 7y - {y}^{2} \)

Now factoring them,

\( = > (x - y)(x + y) - 7(x - y)\)

\( = > (x - y)(x + y - 7)\)

Therefore, the answer to the question is \( (x - y)(x + y - 7)\)

Answer:

answer will come soon pls wait

Step-by-step explanation:

also try solving it by yourself

be independent

Answer:

P= ( 18s + 12 ) + ( 2s + 2 ) or just P = 20s + 14

Step-by-step explanation:

9s + 6 is said twice just add both together and it is. 18s + 12.

Same with s + 1 so it would be 2s + 2.

You can add it all together and its 20s + 14.

P = Perimeter.

The surface area of the spherical ball is given as follows:

\(635.04\pi\) yd².

The surface area of a sphere of radius r is given as follows:

\(S = 4\pi r^2\).

In this problem, the diameter is of 25.2 yd, hence the radius is given by:

r = 0.5 x 25.2 yd = 12.6 yd.

Then the surface area in yd² is:

\(S = 4\pi (12.6)^2 = 635.04\pi\).

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The utilitarian hedonistic calculus is a system that attempts to determine the morality of an action based on its overall utility and the resulting pleasure or happiness it produces. The factors that are considered in this calculus include the intensity, duration, certainty or uncertainty, propinquity or remoteness, fecundity, purity, and extent of the pleasure or pain that will result from the action.

However, there is one factor that is not considered in the utilitarian hedonistic calculus, and that is the individuality of the persons involved. This means that the calculus does not take into account the unique qualities, desires, and preferences of the individuals affected by the action. Instead, it treats them all as if they were interchangeable and equally capable of experiencing pleasure or pain.

This lack of consideration for individuality has been criticized as a weakness of the utilitarian hedonistic calculus, as it can lead to outcomes that are unfair or unjust. For example, the calculus might suggest that it is acceptable to sacrifice the happiness of a minority group for the greater good of the majority, even if this violates their rights and dignity as individuals.

In summary, the utilitarian hedonistic calculus does not factor in individuality as a consideration in determining the morality of an action.

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The total amount spent on the 2 pizzas including tip as required to be determined is; 26 dabloons.

It follows from the task content that the total amount spent on ordering the pizzas including tips is to be determined.

First, since each of the pizzas costs; 11 dabloons; it follows that the cost of 2 pizzas would be;

= 2 × 11 dabloons

= 22 dabloons.

Also, since a 4 dabloon tip is given to the delivery person;

Total amount spent is; 22 + 4 = 26 dabloons.

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ANSWER

Melanie uses 31 and a half pencils per hour

EXPLANATION

If she uses 14 pencils in 4/9 of an hour, we want to find how many pencils does she use in 1 hour:

The sample size necessary for a 90% confidence interval about the mean height of a shrub with a margin of error of 0.5 inches and a population standard deviation of 1.3 inches is 18.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error = 0.5 inches

z = found by using a z-score table

SD = sample standard deviation = 1.3 inches

n = sample size

At 90% confidence interval, the area in each tail of the standard normal curve is 5, and the cumulative area up to the second tail is 95.

(100 - 90) / 2 = 5

100 - 5 = 95

Find 0.95 in the z-table to get the value of z.

At p = 0.95, z = 1.647

Plug in the values to the formula and solve for the sample size, n.

MOE = z x (SD / √n)

0.5 = 1.647 x (1.3 / √n)

√n = 1.647(1.3) / 0.5

n = 18.34

n = 18

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Answer:

y = -2x + 5

Step-by-step explanation:

y = mx + b                  points on the graph: (0,5)    (1,3)

y = mx + 5

\(\frac{5-3}{0-1}\) = \(\frac{2}{-1}\) = -2

y = -2x + 5

Answer:

He is on 4.

Step-by-step explanation:

Answer:Penny worked 8 hours on Friday.

7 + 3 + 9.8h = 88.4

h = 8

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Answer:

When you set up the proportion, you have to make sure that the km match up and the min match up.

m/85=52/20 is the correct answer.

To solve, cross multiply and solve for m.

20m=4,420

m=221

It will take 221 minutes.

Step-by-step explanation:

Answer: 221 minutes

Step-by-step explanation: When you set up the proportion, you have to make sure that the km match up and the min match up.

m/85=52/20 is the correct answer.

To solve, cross multiply and solve for m.

20m=4,420

m=221

Answer:

$336

Step-by-step explanation:

The slope is (277-100)/(3-0) = 59.

So, since the cost is $100 when t=0, C=59t+100.

After 4 months, the cost is 59(4)+100 = $336.

the time required for an investment of $5000 to grow to $\(7200\) at an interest rate of  \(7.5\) percent per year, compounded quarterly, is approximately  \(3.79\) years.

o find the time required for an investment of $5000 to grow to $7200 at an interest rate of 7.5 percent per year, compounded quarterly, we can use the formula for compound interest:

\(A = P(1 + r/n)^(nt)\)

where:

A = the final amount (in this case, $7200)

P = the principal amount (in this case, $5000)

r = the annual interest rate (in decimal form, so 7.5% = 0.075)

n = the number of times the interest is compounded per year (in this case, quarterly, so n = 4)

t = the number of years (which we need to find)

Plugging in the values, we get:

\(7200 = 5000(1 + 0.075/4)^(4t)\)

Now we can solve for t by isolating it on one side of the equation.

Dividing both sides by 5000:

Taking the natural logarithm of both sides:

\(ln(7200/5000) = ln((1 + 0.075/4)^(4t))\)

Using the property of logarithms that ln(a^b) = b * ln(a):

\(ln(7200/5000) = 4t\times ln(1 + 0.075/4)\)

Dividing both sides by \(4 \times ln(1 + 0.075/4):\)

\(t = ln(7200/5000) / (4 * ln(1 + 0.075/4))\)

Using a calculator, we can find the value of t to be approximately 3.79 years (rounded to two decimal places).

Therefore, the time required for an investment of $5000 to grow to $7200 at an interest rate of 7.5 percent per year, compounded quarterly, is approximately 3.79 years.

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Answer:

Step-by-step explanation:

145.90

Answer:

350

Step-by-step explanation:

Let \(s=\) total number of sixth-grade students.

It is given that 60% of sixth-grade students prefer pizza which is equivalent to 210 sixth-grade students. With this, the following can be written:

\(60\%s = 210\)

\(0.6s=210\) (\(60\%\) can be converted into the decimal form \(0.6\))

\(s = 210\div 0.6\)

\(=350\)

∴ There is a total of 350 sixth-grade students in the school.

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(a) ( x_{t+1}=\frac{1}{2} x_{t}+3 ), the solution to this difference equation is x_t = 2^t + 3, The difference equations in this problem are both linear difference equations with constant coefficients.

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 3

1 | 7

2 | 15

3 | 31

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

(b) ( x_{t+1}=-3 x_{t}+4 )

The solution to this difference equation is

x_t = 4 \cdot \left( \frac{1}{3} \right)^t + 4

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 4

1 | 5

2 | 2

3 | 1

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

The difference equations in this problem are both linear difference equations with constant coefficients. This means that they can be solved using a technique called back substitution.

Back substitution involves solving the equation recursively, starting with the last term and working backwards to the first term.

In the first problem, the equation can be solved recursively as follows:

x_{t+1} = \frac{1}{2} x_t + 3

x_t = \frac{1}{2} x_{t-1} + 3

x_{t-1} = \frac{1}{2} x_{t-2} + 3

...

x_0 = \frac{1}{2} x_{-1} + 3

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

The second problem can be solved recursively as follows:

x_{t+1} = -3 x_t + 4

x_t = -3 x_{t-1} + 4

x_{t-1} = -3 x_{t-2} + 4

...

x_0 = -3 x_{-1} + 4

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

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