Please give me the correct answer.

Answer:

\(x(3 + y)\)

Step-by-step explanation:

Hi there!

\(3x + xy\)

The two terms in this expression are 3x and xy. In both these terms, x is present. Therefore, we can factor x out:

\(x(3 + y)\)

We cannot factor this further.

I hope this helps!

Answer:

x(3+y)

Step-by-step explanation:

Hope this helps you

Answer:

  D.  4x^2 + 20x + 25

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

The trinomial will be a perfect square if the linear term is twice the product of the square roots of the other two terms.

A. √(36x^2) = 6x; √16 = 4; double the product is 2(6x)(4) = 48x, not 4x

B. √(16x^2) = 4x; √36 = 6; double the product is 2(4x)(6) = 48x, not 8x

C. √(25x^2) = 5x; √4 = 2; double the product is 2(5x)(2) = 20x, not 9x

D. √(4x^2) = 2x; √25 = 5; double the product is 2(2x)(5) = 20x, a match

The perfect square trinomial is 4x² +20x +25.

__

Additional comment

The square (a -b)² is a² -2ab +b². That is, the sign of the linear term is the sign of the binomial. The square roots can be positive or negative, so the same logic as above can be used to determine if the magnitude of the linear term is correct.

Strictly speaking, the middle term is "linear" only if one of 'a' or 'b' is linear (first degree in one variable).

Answer:

10 + (-14) = -4

Step-by-step explanation:

Given that,

Diamond used a number line to add. She started counting at 10, and then she counted until she was on the number −4 on the number line.

For addition, she will add 10 and (-14) as follows :

10 + (-14) = -4

So, the crrect option is (b) "10 + (-14) = -4".

The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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Answer:

y ≥ 28

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

y - 5 ≥ 23

Step 2: Solve for y

Here we see that any value y greater than or equal to 28 would work as a solution to the inequality.

Answer:

127 baseball cards

Step-by-step explanation:

Lucas now has a total of 127 baseball cards.

To find out, you can add up the number of cards he had before (46), the number of cards his grandma gave him (29), and the number of cards his aunt Tammy gave him (52):

46 + 29 + 52 = 127

Hope this helps!

Answer: Debit Supplies Expense $877 and credit Supplies $877

Step-by-step explanation:

From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.

The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877

Answer:

m = 2/5

Step-by-step explanation:

easy

Answer:

Build the barn : $35,000 + $40,000 = $75,000

Budgeted for the barn : $75,000 x 80%  = $60,000

Step-by-step explanation:

The net profit margin for this shirt is 55%.

What is net profit?

Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.

Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.

It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.

Profitability is a measure of efficiency and is useful in determining the success or failure of a business.

Given,

Revenue = $12

Cost of goods sold = $3

Operating expenses = 20% of revenue = 20/100 x $12 = $2.4

We know,

Net Profit = Revenue - Cost of goods sold - Operating expenses

\(Net \: Profit = 12 - 3 - 2.4\)

Hence, Net Profit = $6.6

Again,

Net Profit Margin = (Net Profit / Revenue) x 100%

Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)

SO, Net Profit Margin = 55%

Therefore, the net profit margin for this shirt is 55%.

So, it is clear that choice A is correct.

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The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

Answer:

1 row = 205plants

9*205=1845plants

Therfore 1845 plants are there in 9 rows of tomato.

Step-by-step explanation:

Please mark as brainliest.

Answer: It takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

Step-by-step explanation:

Define Time and Distance and Speed:

The length of distance traveled is proportional to the time taken to cover the distance, and we can represent this relationship as

      Distance ∝ Time          (Eq. 1)

The speed of any object is directly proportional to the distance traveled and inversely proportional to the time taken.

Speed ∝ Distance  (Eq.2)

Speed∝1/Time     (Eq.3)

Then, we can represent each parameter through the following equations:

Speed =Distance/Time

Distance=Speed × Time

Time =Distance/Speed

We can write:

Distance covered by driving:  d=135 miles

Driving speed:  s=45 mph

Recall the formula for the relationship of time, distance, and speed.

Time =Distance/Speed

Substitute d=135 and s=45 into the above formula, and simplify.

t=d/s

t=135/45

t=3 hours

Thus, it takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

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Answer:

(x - 9)(x + 2)

x = 9 or -2

Step-by-step explanation:

First, we need to find factors of 18 that add up to -7

Factors of 18:

1 and 18

2 and 9

3 and 6

Add/Subtract them to have a total sum of -7

18 - 1 = 17 ...... 1 - 18 = -17     (not -7)

9 - 2 = 7 ........ 2 - 9 = -7       (sum of -7)

6 - 3 = 3 ......... 3 - 6 = -3 .    (not -7)

Hence the numbers that would go in the brackets would be -9 and 2

(x - 9)(x + 2)

x² - 7x - 18

Answer:

(x-9)(x+2)

Step-by-step explanation:

The first term is the product of two x's being multiplied together. the second term (-7x) is the sum of the two numbers. -18 (the third term)  is the product of those numbers.

Think: what two numbers will add up to -7 and multiply to -18

Those numbers are -9 and 2

Now, this is a quadratic trinomial, and you factor these kinds of equations like this: (x+a)(x+b) (a and b as placeholders for actual numbers)

Now, plug -9 and 2 in

(x-9)(x+2)

Hope this helps!

The equation that represents profit is $40x - $20.

The profit after 5 days in business is $180.

The profit after 10 days in business is $380.

The profit after 10 days in business if revenue is $45 is $430.

Profit is total revenue less total cost.

Profit = total revenue - total cost

Profit = $40x - $20

Where:

x = number of days

$40(5) - $20

= $200 - $20

= $180

$40(10) - $20

$400 - $20

$380

$45(10) - $20

= $450 - $20

= $430

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Lisa was exerting the force at an angle of 41.41 degrees.

The formula given to calculate the work done, W = Fd cosθ, involves the force F, the displacement d, and the angle θ between the force and the displacement. We are given that Lisa does 1500 joules of work (W), exerts a force of 100 newtons (F), and moves the object through a displacement of 20 meters (d). We need to find the angle θ.

Rearranging the formula, we have:

W = Fd cosθ

Substituting the known values, we get:

1500 = 100 * 20 * cosθ

Simplifying, we have:

1500 = 2000 * cosθ

Dividing both sides by 2000, we find:

0.75 = cosθ

To find the angle θ, we need to take the inverse cosine (cos⁻¹) of 0.75. Using a calculator or a trigonometric table, we find that the angle whose cosine is 0.75 is approximately 41.41 degrees.

Therefore, Lisa was exerting the force at an angle of approximately 41.41 degrees.

This means that the force she exerted was not directly aligned with the displacement, but rather at an angle of 41.41 degrees to it. The cosine of the angle determines the component of the force in the direction of the displacement. In this case, the cosine of 41.41 degrees is 0.75, indicating that 75% of the force was aligned with the displacement, resulting in the given amount of work.

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Answer:

Are there certain options?

Step-by-step explanation:

2^5 is in other words 2x2x2x2x2

the answer to this is 32

Hope I helped?

Answer:

32

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer: Choice C)  379.94 square meters

=========================================================

Work Shown:

Diameter = 22 meters

Radius = 11 meters (half the diameter)

We'll plug r = 11 into the formula below

A = pi*r^2

A = 3.14*11^2

A = 379.94

This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate area value.

The system of equation has a unique solution for all values of k except k = 4, where it has infinitely many solutions.

To solve the system [23 -18; 27 -22], we write it as an augmented matrix and perform row operations:

[23 -18 | 27 -22]

R2 - (27/23)R1 → R2: [0 -16.39 | -12.78]

R2/(-16.39) → R2: [0 1 | 0.78]

R1 + (18/23)R2 → R1: [23 0 | 29.87]

R1/(23) → R1: [1 0 | 1.30]

Thus, we have the solution x = 1.30 and y = 0.78.

For the system 3x+2y=0, 6x+ky=0, we can write it as an augmented matrix and perform row operations:

[3 2 | 0; 6 k | 0]

R2 - 2R1 → R2: [0 k-4 | 0]

If k ≠ 4, then the system has a unique solution x = 0 and y = 0.

If k = 4, then the system becomes [3 2 | 0; 0 0 | 0]. This system has infinitely many solutions, since the second equation is redundant and the first equation has a free variable.

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To solve the system [23 -18 27 -22], we need to write it in the form of AX=B, where A is the matrix of coefficients, X is the unknown vector, and B is the vector of constants. So we have:[23 -18] [27 -22]

From this, we can see that the system has a unique solution when k is not equal to 0. If k = 0, then the system has infinitely many solutions. And  if the last row of the reduced echelon form is [0 0 | 0], then the system has no solution.
For the equation 3x+2y=0 and 6x+ky=0, we can solve for y in terms of x by rearranging the second equation as y = -(2/3) x. Substituting this into the first equation, we get:3x + 2(-2/3)x = 0 Simplifying, we get:2x = 0 So x = 0. Substituting this into the second equation, we get y = 0. Therefore, the system has a unique solution of (0,0) for all values of k. Now, we analyze the three cases:
(a) Unique solution: This occurs when k ≠ 4, as this leads to a non-zero value for y, allowing us to solve for bothx and y.

(b) No solution: This case is not possible for this system, as there is always a common solution when k ≠ 4.
(c) Infinitely many solutions: This occurs when k = 4, making the equations identical. In this case, any multiple of the common solution will also be a solution, resulting in infinitely many solutions.

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Answer:

30 times 12

Step-by-step explanation:

Answer: 360

I hope its correct soooooo

Given a linear system of equations in unknowns x, y, and z with the following augmented matrix:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}Use Gauss-Jordan elimination to solve the system for x, y, and z.Solution:Step 1. The first step in solving this linear system of equations is to write the matrix in the form of an augmented matrix. In the following, we list the system of equations associated with the augmented matrix: 1x−1y=−72x+3y=24z−y=1  We begin by focusing on the first equation, which is:1x−1y=−7.

To get rid of the x-coefficient, we add one time the first equation to the second equation. This operation is written as follows:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}We add row1 to row2. -2r1 + r2 = r2{-2, 2, 0, 0, 14}r3 = r3This gives us the new augmented matrix.{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}Step 2Next, we focus on the second equation:0x+1y=−5.

The y-variable is isolated, and we now look at the third equation.4z−2y=1We can isolate the variable z by dividing the entire equation by 4 as follows:z−0.5y=0.25In order to eliminate y in the third row, we add 0.5 times the second row to the third row. This operation is written as follows:{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}We add 0.5 r2 to r3. r3 + 0.5r2 = r3{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -1, -1]}Step 3We can now solve for z using the third equation:4z−1y=−1z = (-1 + y) / 4.

Substituting this into the second equation gives:-2((1 - y) / 4) + 3y = 2y - 1 = 2y - 1Thus, y = 1/2.Substituting the value of y = 1/2 into the first equation gives:x - (1/2) = -7, so x = -13/2.Finally, we can substitute the values of x and y into the third equation to get the value of z: 4z - 1(1/2) = -1, so z = -3/2.The solution to the system of linear equations is: x = -13/2, y = 1/2, and z = -3/2.

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Answer: 6.09756097561

Step-by-step explanation: that many times

Answer:

the answer is it is c, centroid.

Answer:

\(\mathbf{ CH_2NO_3}\)

Step-by-step explanation:

Element %by         \((C)\)                   \((H)\)                      \((N)\)              \((O)\)

composition          15.56           2.16                      18.26               63.16

mole ratio  

\(\dfrac{\% \ by \ mass}{atomic \ number }\)      \(\dfrac{15.56}{12}\)            \(\dfrac{2.16}{1}\)                     \(\dfrac{18.26}{14}\)               \(\dfrac{63.16}{16}\)

                             \(= 1.297\)        \(2.16\)                    \(1.304\)                \(3.948\)          

Divide by the

smallest value    \(= \dfrac{1.297}{1.297}\)         \(= \dfrac{2.16 } {1.297}\)              \(= \dfrac{1.304} {1.297}\)          \(= \dfrac{3.948} {1.297}\)

ratio                         \(1\)          :        \(2\)          :              1           :             3

The empirical formula is =  \(\mathbf{ CH_2NO_3}\)

The 12th term of the given geometric sequence is equal to -8,388,608.

Given the following sequence:

A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.

Mathematically, a geometric sequence is given by the expression:

\(a_n =a_1r^{n-1}\)

Where:

Substituting the given parameters into the formula, we have;

\(a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304\)

12th term = -8,388,608.

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