Please can someone assist me on this question I have no idea

Please Can Someone Assist Me On This Question I Have No Idea

Answers

Answer 1

Answer:

x2+10x+25

Step-by-step explanation:

It goes like this:

X2+2*1x*5+5*5


Related Questions

PLEASE SOMEONE !! 15 POINTS!!!

Answers

Answer:

The answer is -5

Step-by-step explanation:

Each number moves down 5 as it moves to the right 1. Right is positive, and down is negative. -5 divided by 1 is -5.

Can you guys help me out?

Answers

Step-by-step explanation:

For  f(3)     3 is >= 2   so you use the second portion of the function :

f(3)   =  5x+2  = 5(3) + 2   = 17

Solve for x. Round to the nearest tenth, if necessary.

Answers

The calculated value of x in the right triangle is 8.7

Calculating the value of x in the right triangle

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

The right triangle

The value of x in the right triangle can be calculated using the following sine ratio

sin(75) = x/9

Cross multiply the equation

So, we have

x = 9 * sin(75)

Evaluate the products

x = 8.7

Hence, the value of x in the right triangle is 8.7

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the slope between the points -3, 0 and 0, -1 ?

Answers

Answer:

Step-by-step explanation:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{-1-0}{0+3}[/tex]

m = [tex]\frac{-1}{3}[/tex]

Answer: -[tex]\frac{1}{3}[/tex]

Select all true statements about the graph that represents y=2x(x−11) .

Answers

The correct answers for the quadratic equation are:

x-intercepts or roots of the parabola are (0, 0) and (11, 0)ordinate of the vertex is x = 5.5What are the Properties of a quadratic equation?

Roots of a quadratic equation are the points where y = 0.

Abscissa of a quadratic equation are the points where x = 0.

If the equation of a quadratic equation is in the vertex form,

         y = a(x - h)² + k

         Vertex of the U-shaped curve will be (h, k)

Given in the question, where the equation of the u-shaped curve is
y = 2x(x - 11)

Convert the equation in the vertex form,

y = 2x² - 22x

y = 2(x² - 11x)

y = 2 *  (x² - 2 ( 5.5x) + (5.5)² - (5.5)²)

y = 2[(x - 5.5)² - 30.25]

y = 2(x - 5.5)² - 60.5

Hence, the vertex of the U-shaped curve will be (5.5, -60.5).

For x-intercepts,

Substitute y = 0,

0 = 2x(x - 11)

⇒ x = 0, 11

   Therefore, roots of the parabola will be (0, 0) and (11, 0).

and the  ordinate of the vertex is x = 5.5

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what is 45 x 6 i need help

Answers

Answer:

270

Step-by-step explanation:

I am showing my mental math, hope this helps you:

45 x 6 is the same as 4 x 6 = 10s place value and 5 x 6 = 1s place value:

4 x 6 = 24

5 x 6 = 30

Therefore, the answer is:

2 (4 + 3) 0

270

The value of the expression 45 x 6 is 270.

We have,

To calculate the product of 45 multiplied by 6, you can follow these steps:

- Start by multiplying the units digits of the two numbers: 5 x 6 = 30.

- Write down the units digit of the result, which is 0, and carry over the tens digit, which is 3.

- Multiply the tens digit of the first number by the second number: 4 x 6 = 24.

- Add the carried-over value from step 2 to this result: 24 + 3 = 27.

- Write down the tens digit of the result, which is 7, and carry over the hundreds digit, which is 2.

- Multiply the hundred digit of the first number by the second number: 4 x 6 = 24.

- Add the carried-over value from step 5 to this result: 24 + 2 = 26.

- Write down the hundred digit of the result, which is 6.

- Combine the hundreds, tens, and units digits together: 6, 7, 0.

- The final product of 45 multiplied by 6 is 270.

So, 45 x 6 = 270.

Thus,

The value of the expression 45 x 6 is 270.

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a math teacher gave her class two test 70% of the class passed both tests and 80% of the class passed the first test what percent of those who passed the first test also passed the second test this statement is an example of supplementary probability true or false

Answers

87.5% of those who passed the first test also passed the second test.
The given statement in the question is an example of conditional probability rather than supplementary probability. Therefore, the statement is false.

We are given the following information:
- 70% of the class passed both tests.
- 80% of the class passed the first test.
We want to find the percentage of those who passed the first test and also passed the second test.
To do this, we will use the concept of conditional probability.
Let A be the event of passing the first test, and B be the event of passing the second test.

We are asked to find the conditional probability P(B|A), which is the probability of passing the second test given that the student has passed the first test.
Using the formula for conditional probability, we have:
P(B|A) = P(A ∩ B) / P(A)
We know that P(A ∩ B) = 0.7 (since 70% of the class passed both tests) and P(A) = 0.8 (since 80% of the class passed the first test).
Now, we can calculate P(B|A):
P(B|A) = 0.7 / 0.8 = 0.875.

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Find the real or imaginary solutions of the following equation by factoring.
w³-512=0
Choose the correct answer below.
OA. -8,4+4√3i, 8-4√3i
OB. 64,- 64+8i, 64-8√3i
O C. -512, -4+4√3i, -8-4√3i
OD. 8, -4+4√3i, -4-4√3i

Answers

The answer is D. I hope you can understand what I have written in the picture below

How to solve -10(x-1.7)=-3 by expanding first

Answers

To solve the equation -10(x-1.7)=-3 by expanding first, we need to apply the distributive property of multiplication.

Expanding -10(x-1.7), we get

-10x + 17 = -3

Now we can solve for x by isolating the variable on one side of the equation. To do this, we'll add 10x to both sides of the equation

-10x + 17 + 10x = -3 + 10x

Simplifying, we get

17 = 10x - 3

Next, we add 3 to both sides of the equation

17 + 3 = 10x - 3 + 3

Simplifying, we get

20 = 10x

Finally, we divide both sides of the equation by 10 to isolate x

20/10 = 10x/10

Simplifying, we get

2 = x

Therefore, the solution to the equation -10(x-1.7)=-3 by expanding first is x = 2.

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Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

160

Step-by-step explanation:

The cosine is equal to the adjacent side divided by the hypotenuse (adj/hyp)

Adjacent = 80

Hypotenuse = x

therefore, cos(60) = 80/x

1/2 = 80/x

x = 80 x 2 = 160

I know how to use the explicit formula to find a_1, but having a_n-1 being multiplied by 2 has thrown me for a loop. I am not sure how to fit it into the formula.

Answers

The first four elements of the sequence are:

a11 = 5350

a12 = 10702

a13 = 21406

a14 = 42814

How to calculate the sequence

Starting with a11 = 5350, we can use the recursive formula to find a12:

a12 = 2a11 + 2 = 25350 + 2 = 10702

a13 = 2a12 + 2 = 210702 + 2 = 21406

a14 = 2a13 + 2 = 221406 + 2 = 42814

Therefore, the first four elements of the sequence are:

a11 = 5350

a12 = 10702

a13 = 21406

a14 = 42814

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Construct a 90 ​% confidence interval of the population proportion using the given information.
x = 105 n =150

Answers

The 90% confidence interval based on the data provided will be (0.6152, 0.7848)

How to calculate the confidence interval

It should be noted that standard error = ✓[(p * q) / n]

p = population proportion

q = 1 - p

n = sample size

sample proportion = x / n = 105 / 150 = 0.7

standard error = ✓(p * q) / n] = sqrt[(0.7 * 0.3) / 150] = 0.0516

margin of error = 1.645 * 0.0516 = 0.0848

Confidence interval = sample proportion ± margin of error

                 = 0.7 ± 0.0848

                 = (0.6152, 0.7848)

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Find the principal needed now to get the given amount; that is, find the present value. To get $4000 after 2 1/4 years at 9% compounded daily The present value of $4000 is $? (Round to the nearest cent as needed.)​

Answers

Step-by-step explanation:

Compounding formula

FV = PV ( 1 + i )^n      FV = Future value (4000)       PV = present value

                      i = decimal interest per PERIOD = .09/365

                      n = periods = 2 1/4 yrs * 365 days/yr = 821.25 periods

4000 = PV ( 1 + .09/365)^821.25

Solve for PV = $ 3266.83

                                     

Enter your answer by filling in the boxes.

Answers

The correct statement regarding the end behavior of the function is given as follows:

As x -> -∞, f(x) -> +∞.As x -> +∞, f(x) -> +∞.

What is the end behavior of a function?

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function in this problem is given as follows:

f(x) = 2(x - 4)² + 3.

We have the square of a number, which is always positive, hence the function goes to positive infinity when the input goes to negative infinity/positive infinity.

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100 POINTS!!!

Question


Answers

Answer:

A) Sequence 2: 15,13,11,9,7

A) Ordered pairs (12,15), (16,13), (19,11), (22,9), (25,7)

B)  Sequence 1: 1,5,17,53,161

B) Sequence 2: 6,15,33,69,141

B) Ordered pairs (1,6), (5,15), (17,33), (53, 69) (161,141)

Step-by-step explanation:

Helping in the name of Jesus.

Answer:

A) Sequence 2: 15,13,11,9,7

A) Ordered pairs (12,15), (16,13), (19,11), (22,9), (25,7)

B)  Sequence 1: 1,5,17,53,161

B) Sequence 2: 6,15,33,69,141

B) Ordered pairs (1,6), (5,15), (17,33), (53, 69) (161,141)

Step-by-step explanation:

Helping in the name of typing.


Suppose a normal distribution has a mean of 34 and a standard deviation of
2. What is the probability that a data value is between 30 and 36? Round your
answer to the nearest tenth of a percent.

Answers

Answer:

it’s 86.6%

Step-by-step explanation:

could be wrong

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took
13.5
m
2
13.5 m
2
13, point, 5, start text, space, m, end text, squared of material to build the cube.
What is the volume inside the giant sugar cube?
Give an exact answer (do not round).

Answers

The volume of the inside of the giant sugar cube would be = 3.375cm³

How to calculate the volume of a cube using the given surface area?

To calculate the volume of a cube, the side length should first be determined from the surface area given.

But the formula for surface area of a cube = 6a²

That is;

surface area = 13.5cm²

a = ?

13.5 = 6(a)²

13.5/6 = a²

a = √13.5/6

= √2.25

= 1.5cm

Therefore the volume of the cube = a³

= 1.5³

= 3.375cm³

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Complete question:

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5m² of material to build the cube. What is the volume inside the giant sugar cube? Give an exact answer (do not round).

Mrs. Hopkins gives her students a math quiz every 8 and a science quiz every 6 days. If she gives math and science quizzes today, how many days will it be before both quizzes are given on the same day again?

Answers

Therefore , the solution of the given problem of unitary method comes out to be once more administer maths and science quizzes on the same day.

Definition of a unitary method.

The well-known minimalist approach, current variables, and any crucial elements from the initial Diocesan tailored query can all be used to accomplish the work. In response, you can be granted another chance to utilise the item. If not, important impacts on our understanding of algorithms will vanish.

Here,

List the multiples of each integer until we discover a common multiple as one method to determine the least common multiple:

=> 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are all multiples of 8.

=> 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60 are multiples of 6.

As an alternative, we can use the prime factorization technique to identify the smallest common multiple:

=> 8's prime factors are 2 x 2 x 2

=> 6's prime factors are 2 x 3

=> 2 x 2 x 2 x 3 = 24

We can see that 24 is the smallest common multiple once more, and in 24 days,

Mrs Hopkins will once more administer maths and science quizzes on the same day.

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What is the equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number? How can the equation be simplified if the vertex is at the origin?

Answers

Note that equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number is (y-k)² = 4p(x-h).

How can the equation be simplified if the vertex is at the origin?

The equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number, is:

(y - k)²   = 4p( x -  h)

If the vertex is at the origin (h = 0, k = 0 ), the equation an be simplified to....

y² = 4px

where p is still a nonzero real number.

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. Suppose that the following represents the graph of the function f(x).
N
a. (5 points) Determine the x intercepts and give a number line for the function
f(x). Are there any horizontal or vertical asymptotes?
b. (5 points) Give a number line for f'(x) and classify any local maxima or minima.
c. (5 points) Give a number line for f"(x) and list any points of inflection.

Answers

The x intercepts are (-2, 0), (2, 0) and (3, 0) and it has vertical asymptotes at x = 4 and x = -4

Determining the x intercepts

The x intercepts are the points where the graph intersect with x-axis

In this case, the points are (-2, 0), (2, 0) and (3, 0)

So, the x intercepts are (-2, 0), (2, 0) and (3, 0)

Are there any horizontal or vertical asymptotes?

The graph has no horizontal asymptotes

However, it has vertical asymptotes at x = 4 and x = -4

The local maxima or minima

From the graph, the local maxima or minima are

Minima (3, -1) and Maxima (-1, 12)

The point of inflection

This is the points where the graph changes it concave-ness

From the graph, we have the point to be (1, 13/2)

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A small country emits 80,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 2.5% per year for the next 7 years. In the first year of the agreement, the country will keep its emissions at 80,000 kilotons and the emissions will decrease 2.5% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 7 year period, to the nearest whole number?

Answers

Using an exponential function and integration, it is found that over the entire 11 year period, the country will emit 763,968 kilotons of carbon dioxide.

Exponential function:

A decaying exponential function is modeled by:

⇒ A (t) = A (0) (1 - r)ⁿ

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem:

In the first year, the country emits 80,000 kilotons, hence . A (0) = 8000

Emissions will decrease 2.5% in each successive year, hence r = 0.026

Then, the equation for the amount emitted each year is:

⇒ A (t) = A (0) (1 - r)ⁿ

⇒ A (t) = 80000 (1 - 0.025)ⁿ

⇒ A (t) = 80,000 (0.975)ⁿ

The total amount emitted over the course of the 11 year period is:

T = ∫ 0 to 11 ( A (t) ) dt

Hence:

T = ∫ 0 to 11 ( 80000 (0.974)ⁿ ) dt

Applying the Fundamental Theorem of Calculus:

T = 763,968 kilotons

Hence, Over the entire 11 year period, the country will emit 763,968 kilotons of carbon dioxide.

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Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base and height 4 millimeters, and the third side 5.7 millimeters. The height of the prism is 3 millimeters.

Answers

The surface area of the triangular prism is approximately 44.29 square millimeters.

What is surface area?

Surface area is the total area that the surface of a three-dimensional object covers. It is a measure of the amount of space that the surface of an object occupies. Surface area is usually measured in square units such as square meters, square centimeters, square inches, or square feet.

What is the area?

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area.

The area of a plane figure is the space enclosed by its boundary.

According to the given information:

To find the surface area of a triangular prism, we need to add up the area of all the faces. A triangular prism has three rectangular faces and two triangular faces.

Let's start by finding the area of the triangular faces. The base of the triangular prism is a right triangle with base 4 millimeters, height 4 millimeters, and hypotenuse 5.7 millimeters. We can use the Pythagorean theorem to find the missing side:

[tex]a^2 + b^2 = c^2\\4^2 + 4^2 = 5.7^2[/tex]

16 + 16 = 32.49

32 = 32.49 - 0.49

32 = 32

So the missing side has length [tex]\sqrt{(5.7^2 - 4^2)} =3.69 millimeters.[/tex] This is the base of each triangular face.

The height of the triangular prism is 3 millimeters, so the height of each triangular face is also 3 millimeters.

The area of each triangular face is:

(1/2) × base × height

= (1/2) × 3.69 × 3

≈ 5.54 square millimeters

So the total area of the two triangular faces is:

2 × 5.54= 11.08 square millimeters

Now let's find the area of each rectangular face. The length of each rectangular face is the same as the base of the triangular face, which is 3.69 millimeters. The width of each rectangular face is the height of the triangular prism, which is 3 millimeters.

The area of each rectangular face is:

length × width

= 3.69 × 3

≈ 11.07 square millimeters

So the total area of the three rectangular faces is:

3 × 11.07

= 33.21 square millimeters

To find the surface area of the triangular prism, we add up the area of all five faces:

11.08 + 33.21

= 44.29 square millimeters

Therefore, the surface area of the triangular prism is approximately 44.29 square millimeters.

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What is the value of X? (Thx for any help!)

Answers

Answer:

x=109 y=100

Step-by-step explanation:

Answer:

x=100

y=109

Step-by-step explanation:

For any quadrilateral (4-sided shape) inscribed in a circle (all 4 vertices of the quadrilateral are on the edge of the circle),  there is a special relationship between certain pairs of angles within the quadrilateral.


Specifically, opposite angles (angles across from each other) must sum (add) to 180 degrees.

The angle measuring 80 degrees is opposite the angle measuring x degrees, so x + 80 = 180, implying x = 100.

In this case, the angle measuring 71 degrees is opposite the angle measuring y degrees.  So, 71 + y = 180, which implies y = 109.

Which of the following pairs consists of equivalent fractions? 3/9 and 5/15 ,12/20 and 20/25,5/6 and 6/5,6/12 and3/4

Answers

Answer:

[tex]The[/tex] [tex]Answer[/tex] [tex]Is:[/tex] [tex]\frac{3}{9}[/tex] [tex]&[/tex]& [tex]\frac{5}{15}[/tex]

Step-by-step explanation:

Divide by 4 , 2nd fraction Divide by 5:

3/4 ≠ 4/5

5/6 ≠ 6/5 We can already see it.

Divide by 3. . .

2/4 ≠ 3/4

Divide by 3 , 2nd fraction Divide by 5:

1/3 = 1/3 [tex]Perfect![/tex]

The answer is, [tex]\frac{3}{9}[/tex] & [tex]\frac{5}{15}[/tex]

Please if you know the answer put the steps on thank you.

Answers

Answer:

1. # of people who predicted they would pass = 30

2. # of people who predicted they would fail = 20

3. # of people who predicted they would pass and actually passed = 27

4. # of people who predicted they would pass and actually failed = 3

5. # of people who predicted they would fail and actually passed = 11

6. # of people who predicted they would fail and actually failed = 9

Step-by-step explanation:

1. # of people who predicted they would

The total number of people who took the test is 50.The number of people who predicted they would pass is 30.The number of people who predicted they would fail is 20 (since 50 - 30 = 20)Let x be the number of people who predicted fail and actually passed the test. Since three times as many people who passed predicted pass than predicted fail, we know that 3x is the number of people who predicted pass and actually passed the test. Therefore, the total number of people who passed the test is x + 3x = 4x, and we know that 36 people passed the test, so 4x = 36, and x = 9.Since x is the number of people who predicted fail and actually passed the test, then the number of people who predicted fail and actually failed the test is 20 - x = 20 - 9 = 11.The number of people who predicted pass and actually passed the test is 3x = 3(9) = 27.The number of people who predicted pass and actually failed the test is 30 - 27 = 3.

I also filled in the frequency table by extracting it from Brainly and drawing on it to show how the math works and fits in the table.

true or false ? is (b^9)^3 = b^27

Answers

It is true that the product of the index [tex](b^9)^3 = b^2^7[/tex]

What is indices?

Indices track asset performance in finance and specify array elements in math and programming; their use varies by subject. Different methods refer to list, vector, or matrix elements. Power law of indices: larger number or letter must match.

This can be expressed mathematically as am+n.

Additionally, there are several Laws of Indices that provide rules for simplifying calculations or expressions involving powers of the same base.

The given question is true or false is [tex](b^9)^3[/tex]= [tex]b^27(b^9)^3[/tex] = [tex](b^9)^3 = b^2^7[/tex]

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Natasha is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 20 inches × 15 1 4 inches. She needs to cut another rectangle that is 10 1 2 inches by 10 1 4 inches. How many total square inches of construction paper does Natasha need for her project? Mixed number

Answers

To find the total area of construction paper needed for the project, we need to find the area of each rectangle and then add them together.

The area of the first rectangle is:

20 inches × 15 1/4 inches = 20 × (60/4 + 1/4) = 20 × 61/4 = 20 × 15.25 = 305 square inches

The area of the second rectangle is:

10 1/2 inches × 10 1/4 inches = (10 × 2 + 1/2) × (40/4 + 1/4) = 21 × 41/4 = 21 × 10.25 = 215.25 square inches

Therefore, the total area of construction paper needed for the project is:

305 + 215.25 = 520.25 square inches

So, Natasha needs 520 1/4 square inches of construction paper for her project.

On Low Budget Airlines, the maximum weight of the luggage a passenger can bring without charge is 50 pounds. Mary Ellen has decided to weigh each item as she packs her bag. Use rounding to the nearest one pound to estimate the weight of her luggage.
The estimated weight is pounds.

Answers

Answer: 50 pounds

Step-by-step explanation:

The maximum weight of the luggage a passenger can bring without charge is 50 pounds.

Mary Ellen has decided to weigh each item as she packs her bag.

weight of Suitcase = 3.65 lbs

weight of clothing = 4.35 lbs

weight of shoes = 8.67 lbs

weight of toiletries = 11.35 lbs

weight of extras = 21.63 lbs

Now we will add the weights of each items

Total weight = 3.65 + 4.35 + 8.67 + 11.35 + 21.63 = 49.65

Rounding to the nearest to the one pound will be = 50 lbs

(Since 0.65 is greater than 0.5 so by rounding off 0.65 will become 1.)

Therefore the estimated weight is 50 pounds.

Please HELPP!!!!! Angles !! Marking brainliest whoever awnsers

Answers

Answer: IN ORDER FROM TOP LEFT OVER

Step-by-step explanation:

1. Example

2. Already correct

3. 43

4. 82

5. Supplementary

6. 68

7. 33

8. Adjacent (could be wrong)

9. 51

10. 128

11. 54

12. Complimentary

13. Parallel

14. 29

15. 117

HOPE THIS HELPS. I MAY HAVE GOTTEN 1 OR 2 WRONG.

pleaseeeee i need helppp in this

Answers

The resulting matrix formed by performing R2 -> 4R1 + R2 on M is given as follows:

[tex]M = \left[\begin{array}{ccc}-4&3&1\\-18&9&8\end{array}\right][/tex]

How to do the row operation?

The matrix in the context of this problem is defined as follows:

[tex]M = \left[\begin{array}{ccc}-4&3&1\\-2&-3&r\end{array}\right][/tex]

The rows of the matrix are given as follows:

R1: -4, 3 and 1.R2: -2, -3 and 4.

Hence the row 2 of the resulting matrix has the elements given as follows:

Column 1: 4 x -4 - 2 = -18.Column 2: 4 x 3 - 3 = 9.Column 3: 4 x 1 + 4 = 8.

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What is Emmas opinion regarding Hartfield, her fathers estate? The long run is a planning period: a. less than one year. b. during which the firm can vary all inputs including its plant size. c. less than five years. d. less than six months. A theme of this story is success comes to those willing to work hard. How does the author show this theme? There are four spaces each so you can put either parentasis or brakets Qn in attachment . .. Which of the following organizations came into being as a result of the American involvement in conflicts in the Middle East? A.Al Qaeda B.the KGB C.the United Nations D.the League of Nations Which pair of terms correctly matches a cell or group of cells with its ability to differentiate into different specialized cells?. Mapp v Ohio constitutional question Why is it important for researchers to study how the black death spread? develop a convincing argument using your own logical reasoning and details from the article. Question #6Samantha is fishing at the pier, holding her rod with two hands. At the same time she alsohas her gun equipped, so she is able to defend herself when robbers approach her. What isSamantha doing wrong?Your answer is 150 characters short!Enter your answer here. After a child has a tantrum at a store, his mother refuses to buy him what he wants. This is an example of:(A) negative punishmentB) positive punishment(C negative reinforcementB positive reinforcement Describe the purpose of a dramatic epilogue and then briefly state what an epilgue for the taming of the shew might focus on The president of the student council wants to survey the student population about parking. She decides to use arandom number table to take a random sample of 100 of the 1,020 students at the school. What is the smallest numberof digits that should be used to label the population? Schedule of Cash Collections of Accounts Receivable Pet Supplies Inc. , a pet wholesale supplier, was organized on January 1. Projected sales for each of the first three months of operations are as follows: January $210,000 February 290,000 March 400,000 All sales are on account. 52% of sales are expected to be collected in the month of the sale, 43% in the month following the sale, and the remainder in the second month following the sale. Prepare a schedule indicating cash collections from sales for January, February, and March. Pet Supplies Inc. Schedule of Cash Collections from Sales For the Three Months Ending March 31 January February March January sales on account: Collected in January $fill in the blank 1 Collected in February $fill in the blank 2 Collected in March $fill in the blank 3 February sales on account: Collected in February fill in the blank 4 Collected in March fill in the blank 5 March sales on account: Collected in March fill in the blank 6 Total cash collected $fill in the blank 7 $fill in the blank 8 $fill in the blank 9 some hints for presenting the strongest possible responses in an interview are:(a) don't rush your answers but give the facts(b) keep it brief, be honest about gaps in work history (c) present yourself in a calm and confident manner (d) all of the above Body mass index of more than 30 kg/m2 is considered to be in the obese category, according to the world health organization. takes into account age, body frame, and physical activity levels accounts for racial/ethnic differences in mineral, protein, and water is a better measure of visceral fat than subcutaneous fat? For how many different integers $k$ are there rational solutions to the quadratic equation[tex]\[x^2 + kx + 4k = 0?\][/tex] What happens if the birth rate in a population is more than the death rate? What happens if it is less? Entrepreneurs are essential to the free enterprise system because they:O A. Help money flow through the economy by starting newbusinesses. O B. Protect consumers by regulating the economic behavior ofbusinesses. O C. Promote innovation by punishing companies that steal intellectualproperty. O D. Maintain economic equality by controlling the prices of consumergoods. The amount of DNA per cell of a particular species is measured in cells found at various stages of meiosis, and the following amounts are obtained. Match the amounts of DNA on the left with the corresponding stages of the cell cycle on the right. You may indicate more than one stage for each amount of DNA.