Write each system as a matrix equation.

[2x+3y = 12 x-2y+z = 9 6y-4z = 8 ]

Answer:

\(-20x^{7}y^{11}z^{4}\)

Step-by-step explanation:

Multiply: -4 and 5 which then equals \(-20x^5y^4x\) X \(xy^7z^4\)

Add Exponents: \(x^5+x1+x1\) and then \(y^4+y^7\)which finally equals to the answer, \(-20x^7y^{11} z^4\)

The sequence is arithmetic. The common difference is 6. Answer: b

If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ...  to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.

The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.

Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7

Therefore, the common difference d is 6.

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The scale factor of the dilation of the given object is 4.

The scale factor of dilation:

The scale factor of the dilation of an object is determined by taking the ratio of image length to the corresponding object length.

Dilation is the process of resizing or transforming an object. The transformation that makes the objects smaller or larger with the help of the given scale factor.

The basic formula to find the scale factor of a dilated is:

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

\(SD=\frac{32cm^2}{4cm^2}\)

SD=4

Thus, the scale factor of the dilation of the given object is 4.

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Answer:

Ratios are proportional if both serve the identical tie. A method to detect if a pair of ratios remain equivalent is to rewrite them being fractions, then decrease them. If the decreased fractions are equal, the ratios are comparative.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

The entry to replenish the petty cash fund will include a debit to the expense accounts or accounts payable and a credit to the petty cash account.

The entry to replenish the petty cash fund will include a debit to the expense accounts or accounts payable and a credit to the petty cash account. The entry to replenish the petty cash fund will be made on a monthly basis or whenever the petty cash fund is low.
Petty cash funds are a convenient method for small expenditures. It is an amount of cash that an organization maintains for small expenditures such as postage, office supplies, or other minor expenditures.
When the petty cash fund is depleted, it must be replenished. To replenish the petty cash fund, the person in charge of the fund will be required to make a journal entry.
The entry will debit the account for which the funds were spent and credit the petty cash account for the same amount. In other words, the entry will decrease the account for which the funds were spent and increase the petty cash account.
For example, the custodian of a $780 petty cash fund has $172.50 in coins and currency plus $580.50 in receipts at the end of the month. The entry to replenish the petty cash fund will include a debit to the account for which the funds were spent and credit to the petty cash account for $753.
In conclusion, The entry to replenish the petty cash fund will be made on a monthly basis or whenever the petty cash fund is low.

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Answer:

The 5x^2 vs -5x^2 will reflect over "X" axis

the +1 vs -2 will shift the graph down three units

the first answer is the correct answer

Step-by-step explanation:

Answer:

1.2 hours

Step-by-step explanation:

John can do a job in 2 hours

Ben can do the same job in 6 hours

Let y represent the time it will take both men to do the job together

y/2 + y/6=1

5y/6= 1

Cross multiply

5y = 6

y= 6/5

y= 1.2

Hence it will take both of them 1.2 hours to finish the work together

Answer:

3/5

Step-by-step explanation:

Cos C = adjacent/hypotenuse

or, Cos C = 21/35 = 3/4

Answered by GAUTHMATH

Answer:

200,000

Step-by-step explanation:

Population now: 50,000

Population in 33 hours: 100,000

Population in 66 hours: 200,000

Answer: 200,000

Answer:

3.67

Step-by-step explanation:

They are vertical angles. Vertical angles are congruent to one another, so they are equal to one another

Answer:

17/61 or  0.27

Step-by-step explanation: 17 out of 61 times Jordan will pull out strawberry so the probability of pulling out a strawberry chew is 17/61 which is 0.27 as a decimal

Answer:

0.28

Step-by-step explanation:

0.278 rounded is 0.28

Answer:

36

Step-by-step explanation:

A dentist bought 9 bags of prizes for his patients.

Each of the bags has 12 prizes

The first step is to calculate the total number of prizes

= 9 × 12

= 108 prizes

Since the prizes will be shared equally in 3 boxes then the number of prizes in each box can be calculated as follows

= 108/3

= 36

Hence the number of prizes in each of the 3 boxes is 36

Answer:

27.5%

Step-by-step explanation:

Hi!

To do this problem, we have to set up a percent proportion:

\(\frac{3.3\\}{x}\) = \(\frac{12}{100}\)

In this problem, the denominators are the percent values and the numerators are the numerical value.

x = \(\frac{3.3*100}{12}\)

x = \(\frac{330}{12}\)

x = 27.5%

Hope this helped.

Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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21 more animals are added, and a total of 144 keepers will be needed to maintain the ratio of keepers to animals.

According to the ratio of keepers to animals in the zoo, for every 2 keepers, there are 7 animals. We can set up a proportion using this information:

2/7 = x/(495+21)

where x represents the number of keepers needed after 21 more animals are added, and 495 is the current number of animals in the zoo.

Simplifying and solving for x:

2(495+21) = 7x

x = 144

Therefore, after 21 more animals are added, a total of 144 keepers will be needed to maintain the ratio of keepers to animals.

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The equation x³ + y³ + z³ = k Is not possible to solve because it is an equation of  degree 3.

We have,

The equation x³ + y³ + z³ = k represents a surface of constant values in a 3D coordinate system.

If we want to solve for one of the variables in terms of the others, it is not possible because it is an equation of degree 3.

However, you can analyze the equation by graphing it and observing the shape of the surface.

It is a special case of an algebraic surface known as an elliptic cone.

If you have a specific value for k, you can plot the surface and observe its shape.

For example, if k = 1, the surface is a twisted cubic curve that intersects the coordinate axes at (1,0,0), (0,1,0), and (0,0,1).

Thus,

The equation is not possible to solve because it is an equation of

degree 3.

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Answer:

No

Step-by-step explanation:

If you substitute the numbers into either of the two functions when you solve you don't get the right numbers

Answer:1) 32.  2).  3) 21.  4) 4

Step-by-step explanation: 1) 4*8=32m, 2) I don't know, 3) 6*7=42 for the area of a square but since a triangle half it so its 21, An the last is by 4 for example 4*10=40 but if doubled its 20*8 and that equals 160. and 160/40=4

The admission fee for the zoo and for the state park is given as follows:

For the zoo, the costs are divided as follows:

20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:

20(2x + 3.25) = 40x + 65.

For the state park, the costs are divided as follows:

25 students are going to the state park, hence the total cost spent at the state park is given as follows:

25(x + 6.50) = 25x + 162.50.

The costs spent at both parks are the same, hence the value of x can be obtained as follows:

40x + 65 = 25x + 162.5

15x = 97.5

x = 97.5/15

x = 6.5.

Hence the admission fees are given as follows:

The table is given by the image presented at the end of the answer.

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The number of pack of cards sold at the state of Arkansas is 8100.

For the values given in question.

The tax on playing card in state of Arkansas = 6 cents per pack.

Total revenue generated =  $48600.

Divide total revenue by one pack price to get the number of packs.

Number of pack = Total revenue/price of each pack

Number of pack =  $48600/6

$48600.Number of pack = 8100

Thus, the number of pack of cards sold at the state of Arkansas is 8100.

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The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.

1. First, find the value of n by using the equation 5(n - 3) = 75 + 3

2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.

3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.

The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.

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Answer:

g(x) = (x - 4) (x + 5)

Step-by-step explanation:

(x - 4) (x + 5)

= x² + 5x - 4x - 20

= x² + x  - 20

So, the answer is g(x) = (x - 4) (x + 5)

Answer:

10-8k

Step-by-step explanation:

Here, we want to open the brackets, then collect like terms

We have this by multiplying each of the terms outside by each of the terms inside the bracket before proceeding to collect like terms

We have this as;

(3 + 6k) -14k + 7

= 3 + 7 + 6k - 14k

= 10 - 8k