Compute each of the following. a. (5x^2 + 3x - 4) + (4x^2 - x + 9) in Z_12 b. (5x^2 + 3x - 4)(4x^2 - X + 9) In Z_12 c. (7x^3 + 3x^2 - x) + (6x^2 - 8x + 4) in Z_9 d. (3x^2 + 2x - 4) + (4x^2 + 2) in Z_5 e. (3x^2 + 2x - 4)(4x^2 + 2) in Z_5 f. (5x^2 + 3x - 2)^2 in Z_12

Answer:

The first plant produces 3x+20 more items daily than the second plant.

Step-by-step explanation:

Given that:

Production level of first plant = 6x+13

Production level of second plant = 3x - 7

We will find the difference of both plants manufacture levels.

Difference = First plant - Second Plant

Difference = (6x+13)-(3x-7)

Difference = 6x+13-3x+7

Difference = 3x+20

Hence,

The first plant produces 3x+20 more items daily than the second plant.

Answer:

Akua now -- x

Ama now -- 4x

Akua in 10 years ---- x+10

Ama in 10 years ---- 4x+10

4x+10 = 2(x+10)

solve for x

let Ama's age be X and Akua's age be Y

X=4Y.......

X+10=(Y+10)2......

4Y+10=2Y+20

4Y-2Y=20-10

2Y=10 divide both side by 2

2Y/2=10/2

Y=5

X=4x5

X=20

therefore Ama =20years and Akua=5years

hope it helps..

Answer:

Answer:

I'm pretty it is answer c

Step-by-step explanation:

id-8253381513

password-9999

Answer:

the correct answer is A. but dont trust me on this

Step-by-step explanation:

It divides by three. According to the law of divisibility for three, a number is fully divisible by three if its digit sum is likewise divisible by three.

The divisibility rule is a clear and useful method for determining if an integer is divisible by a given set of divisors without actually doing division, sometimes simply looking at the integer's digits. The divisibility test allows you to rapidly determine if a given integer can be divided by a specified divisor without actually doing the division process. The quotient must be an integer and the remainder must be zero when dividing two numbers precisely.

here  

add all the numbers,

326 = 3+2+6 = 11

so it is not divisible by 3

327 = 3+ 2 + 7 = 12

so it is divisible by 3

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The percentage increase of the value of Tessa's stock is 47%.

According to the question,

We have the following information:

Tessa bought stock in a restaurant for $137.00. Her stock is now worth $201.39.

We know that the following formula is used to find the percentage increase if the final and initial amount for any question is given:

Percentage increase = 100*(final-initial)/initial

Percentage increase = 100*(201.39-137.00)/137.00

Percentage increase = 100*64.38/137.00

Percentage increase = 6438/137.00

Percentage increase = 46.99% or nearly 47%

(We have rounded off this percentage in the final result.)

Hence, the percentage increase of the value of Tessa's stock is 47%.

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Answer:

32 cm^3

Step-by-step explanation:

The cube is 4 across by 4 high by 2 wide

4*4*2 = 32 cm^3

Answer:

\(32cm^3\)

Step-by-step explanation:

\(V=whl=2*4*4=32cm^3\)

Answer:

To find the answer / The result you get from adding numbers

Step-by-step explanation:

when you have a problem with two or more numbers being added your answer / result to the question would be called the Sum rather then an answer

Answer:

5 more wagons

Step-by-step explanation:

378/21 =18

18 - 13= 5

This is a table of values of three functions at selected values of x.

It is asking for h(f(-2))

Its saying, take f(-2), and take whatever you get from that and put it into h(x)

So, find f(-2).

Find x = -2, then see what f is there.

f(-2) = -1

So, find h(-1)

h(-1) = 0

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Answer:

D

Step-by-step explanation:

Answer:

PR CK are congruent

Step-by-step explanation:

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. ... If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Answer: 174

Step-by-step explanation: ok so we divide 220 by 11 to get 20 and times that by two to get 20 children on this journey then see that all children paid and 70 percent of adults so 70 percent of 220 is 154 and then 154 + 20 is 174 so thats the number of fares paid

The true statement is option (A) The equation |-x - 4| = 8 will have two solution

Consider each statement

All the statements are absolute value equation

Part A

|-x-4| = 8

We can write it in two way

-x - 4 = 8

- x = 12

x = -12

Then,

-(-x-4) = 8

x+4 = 8

x = 4

It has two solution

Part B

3. 4|0. 5x - 42. 1| = -20. 6

Divide both side by 3.4

|0.5x - 42.1| = -103/17

Absolute value cannot be negative

The equation has no solution

Part C

|1/2x - 3/4| = 0

1/2x - 3/4 = 0

1/2x = 3/4

x = 3/4 ÷ 1/2

x = 3/2

The equation has one solution

Part D

|2x - 10| = -20

Absolute value cannot be negative

This equation has no solution

Part E

|0. 5x - 0. 75| 4. 6 = 0. 25

Divide both side by 4.6

|0.5x - 0.75| = 5/92

The equation divided into two

0.5x - 0.75 = 5/92

x = 37/23

0.5x - 0.75 = -5/92

x = 32/23

The equation has two solution

Part F

|1/8x - 1| = 5

1/8x - 1 = 5

x = 48

1/8x - 1 = -5

x = -32

The equation has two solution

Therefore, the equation |-x - 4| = 8 will have two solution is true

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Answer:

60,367

Step-by-step explanation:

i = p x r x t

I = 53000 x 6.7/100 x 17

I = 53000 x 0.067 x 17

I=60,367

Answer:

A≈165553.09

Step-by-step explanation:

Answer:

1408.5 acres

Step-by-step explanation:

If 55% of the land is federally owned, then 100 - 55 = 45% of the land is not federally owned.

We need to find how many acres are not federally owned, in other words, we need to find how many acres represent 45% of the total 3129 acres. So, to do this we can apply a rule of three:

3129 acres ---- 100%

x acres     ------ 45%

\(x=\frac{(3129)(45)}{100} =3129(0.45)= 1408.05\)

Therefore, the total of acres that are not federally owned are 1408.5 acres.

There are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit using combinations.

To determine how many phone numbers can be made with 10 digits, where any single digit number (0-9) can be used for any digit, follow these steps:

1. Understand that there are 10 possible digits (0-9) for each digit in the phone number.
2. Since there are 10 digits in the phone number, you need to calculate the total number of combinations by multiplying the number of possibilities for each digit.

To calculate this, simply raise the number of possible digits (10) to the power of the number of digits in the phone number (10):

10^10 = 10,000,000,000

So, there are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit.

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Answer:

x=(π+√π)/1-π

or x=(π-√π)/1-π

Step-by-step explanation:

since it is a square all sides are equal

Area of square=x*x=x^2

Area of a circle=πr^2

A=π(x-1)^2

two areas are equal

x^2=π(x^2-2x_1)

x^2=πx^2-2πx-π  

x^2-πx^2-2πx-π=0

x^2(1-π)-2πx-π=0  

using quadratic formula with a=1-π , b=-2π and c=-π

equation of the form ax^2+bx+c=0 by using the quadratic formula:

x=(−b±√b2−4ac)/2a

x=(π+√π)/1-π

or x=(π-√π)/1-π

Answer:

8

Step-by-step explanation:

Price : %

  \(x\)    :  100

 6.4  :  80     (Got 80 by 100 - 20)

Cross multiply

100*6.4 = 80\(x\)

640 = 80\(x\)

640/80 = \(x\)

\(x\) = 8

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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The choice of pivot in quicksort is an important decision that can affect the performance of the algorithm. A simple and computationally efficient approach is to choose the value at the midpoint between the low and high indices of the sub-array being sorted as the pivot.

In computer science, a common algorithm for sorting an array of elements is quicksort. Quicksort is a divide-and-conquer algorithm that works by selecting a pivot element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot. The sub-arrays are then sorted recursively using the same process.

The choice of pivot can have a significant impact on the performance of the algorithm. Ideally, the pivot should be the median element of the array, since this will ensure that the sub-arrays are roughly equal in size. However, finding the median element of an array is not a trivial task, and can be computationally expensive.

One simple approach is to choose the pivot as the value at the midpoint between the low index and the high index of the sub-array being sorted. This is a reasonable choice since it divides the array into roughly equal halves, and is computationally efficient to calculate.

Once the pivot is chosen, the partitioning step involves rearranging the elements of the sub-array so that all elements less than the pivot are to the left of it, and all elements greater than the pivot are to the right of it. This is done by iterating over the sub-array with two pointers, one starting at the low index and the other starting at the high index, and swapping elements as necessary until the pointers meet.

After partitioning, the sub-arrays to the left and right of the pivot are recursively sorted using the same process, until the entire array is sorted.

In summary, the choice of pivot in quicksort is an important decision that can affect the performance of the algorithm. A simple and computationally efficient approach is to choose the value at the midpoint between the low and high indices of the sub-array being sorted as the pivot.

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Answer:

1 hr and 45 mins

Step-by-step explanation:

12:26-11:11 or  115, so an hour and 45 mins.

Hope this helps :D

Answer:

75 min

Step-by-step explanation:

I did 49+26 because from 11:11 to 12 theres 49 min and from 12 to 12:26 theres 26 min

Answer:

y=1

x=2/5

Step-by-step explanation:

1=-5x+3

-2=-5x

x=2/5

Answer:

x = 2/5

Step-by-step explanation:

-5*2/5+3=1

x is 2/5

Answer:

-7.

Step-by-step explanation:

By grouping positive and negative terms, we see that (+6) + (−11) + (+5) + (−7) = (6+5) - (11 + 7) = 11 - 18 = -7.

Answer:184161240771

Step-by-step explanation:

Calculator

Answer:

184,161,240,771

Step-by-step explanation:

have a nice day!

₊˚ ‧꒰ mei ꒱ ‧₊˚

The optimal mix of crops to plant is 1,304 acres of soybeans, 761 acres of corn, and 341 acres of cotton, which will maximize the family's total profit.

3.51 Farm Management problem: Formulate and solve a linear programming model for this problem in a spreadsheet.The given table contains information about the labor-hours and fertilizer needed per acre and the total expected profit per acre for the potential crops under consideration.

Given that Dwight, Hattie, and their children can work at most 6.500 total hours during the upcoming season and have 200 tons of fertilizer available. We need to find the mix of crops that maximizes the family's total profit.Let x1, x2, and x3 be the amount of acres for soybeans, corn, and cotton, respectively.

We need to maximize the profit, which is given byZ = 70x1 + 60x2 + 90x3subject to the constraints given below:2x1 + 3x2 + 4x3 <= 6,500 (labor-hours constraint)3x1 + 2x2 + 4x3 <= 200 (fertilizer constraint)x1, x2, x3 >= 0 (non-negativity constraint)The linear programming model for this problem can be written as follows:maximize Z = 70x1 + 60x2 + 90x3Subject to:2x1 + 3x2 + 4x3 ≤ 6,5003x1 + 2x2 + 4x3 ≤ 200x1, x2, x3 ≥ 0Solving the problem using a spreadsheet, we get the following optimal solution.

 The optimal solution is obtained for x1 = 1,304 acres of soybeans, x2 = 761 acres of corn, and x3 = 341 acres of cotton.

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Answer:

GH = 11

Step-by-step explanation:

Triangle KGJ is a mini version (I don't remember my terminology, it's been years) of Triangle KHI.

This means that the ratio between the sides on Triangle KGJ should be the same as the ratio between the sides on Triangle KHI.

KJ/KG  =  KI/KH

48/22  =  (48 + 24) / (22 + GH)

48/22  =  72 / (22 + GH)

(48/22) * (22 + GH)  =  72

22 + GH  =  72 / (48/22)

GH  =  [72 / (48/22)] - 22

GH  = [72 * (22/48)] - 22

GH = [72 * 22 / 48] - 22

GH = [1584 / 48] - 22

GH = [33] - 22

GH = 11

Answer:

m∠3 = 64°

Since angle 2 and 3 seem to be complementary angles, we know that the meaning of complementary angles is to add both angles to 90 degrees.

Subtract 90 by the known value to get the value of ∠3

90 - 26 = 64