Factor out the greatest common factor. Simplify the factors, if possible.2(c + y)2 - 14(c+y)2 - 6(c+y)4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. 2(c+y) 3 – 14(c + y)2 - 6(c +y)4 =(Type your answer in factored form. Simplify your answer.)OB. There is no common factor other than 1.

We will apply the principle of similar triangles to solve this question

Given that

Method: Find side AC

We will use the Pythagoras theorem to evaluate AC

T

The area of the rectangle would be 4.90 units which is shown in the given graph.

The area of a rectangle is defined as the product of the length and width.

The rectangle is given which has:

verticals at  A(-4,0), B(-3,1) C(0,-2) and D(-1,-3)

The length of segment AB = √ (-3 - (-4))² + (1 - 0)² = √ (1 + 1) = √2

The length of segment BC = √ (-3 - 0)² + (1 - (-2))² = √ (9 + 3) = √12

The area of the rectangle = length of segment AB x length of segment BC

The area of the rectangle = √2 x √12

The area of the rectangle = √24

The area of the rectangle = 4.90 units

Thus, the area of the rectangle would be 4.90 units

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Answer:

12cd(2-3c)

Step-by-step explanation:

check:

12cd( 2 - 3c)

12cd(2) - 12cd(3c)

24cd - 36[tex]c^{2}[/tex]d

The vertex of the function is (1, -25) Correct

Because

f(x) = (x + 4)(x - 6)

Substitution

-25 = (1 + 4)(1 - 6)

Simplification

-25 = (5)(-5)

Result

-25 = -25 As both sides of the equation are equal this option is true

5) The graph is negative on the entire interval - 4 < x < 6 because the graph is below the x-axis

To solve the question we would need to state some facts.

1) In measurements, there are one thousand millimeters in a meter.

2) Also one thousand milligrams equals one gram

3) However one milligram is not equal to one milliliter

Answer: 1mg is equal to 1ml is not true

∠I ≅∠L

1) Given that the triangles are similar, then we can write:

Notice that the sides are proportional to k=3/2.

2) Since we need to prove that these triangles are similar under SAS -Side, Angle Side, examining the picture we can state that one of their corresponding angles are congruent so

3) Having one of these angles as congruent would fit to prove that these triangles are similar by SAS similarity.

Answer:

∠I ≅∠L

Step-by-step explanation:

Yes, it is proportional because the graph of these coordinates is a straight line and the ratios for [y] over [x] are all equivalent to one half.

Proportional relationships are relationships between two variables where their ratios are equivalent. A straight line represents a proportional relationship. Mathematically -

y = kx + c

(y - c)/x = k         [k is constant]

or

y = kx

k = y/x                [k is constant]

Given is the following data -

[x]  42.5      29.2     69.4

[y]   21.25     14.6      34.7

In order to find if the given coordinates represent proportional relationship, plot these coordinates on graph. If the by joining the coordinate points, we get a straight line, then it represents a proportional relationship. Graph is attached with the answer. It can be seen that its graph is a straight line and hence represents a proportional relationship.

Now, the ratio of [y] by [x] -

m = (21.25 - 14.6)/(42.5 - 29.2) = 6.65/13.3 - 0.5 = 1/2

Therefore, we can say that, Yes, it is proportional because the graph of these coordinates is a straight line and the ratios for [y] over [x] are all equivalent to one half.

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Answer: Yes, it is proportional because the ratios for y over x are all equivalent to one half.

Step-by-step explanation:

I did the test. :)

Given:

Required:

To find the domain of the given function.

Explanation:

Now consider

Answer:

21 cups

Step-by-step explanation:

This question tests on the the concept of Unit Conversion.

Unit Conversions involving converting values into per unit values.

Example: 15 apples in 3 days = (15 ÷ 3) apples per day = 5 apples per day

For this Question, we are given:

5 people per 3 cups of rice.

We are asked to find the number of cups of rice that 35 people can finish.

5 people = 3 cups

(5 ÷ 5) people = (3 ÷ 5) cups

1 person = 0.6 cups

(1 × 35) people = (0.6 × 35) cups

35 people = 21 cups

If equation of the height is h = -16[tex]t^2[/tex]+150, then the time taken for the object to be 6 feet above the valley floor is 4.28 seconds

The equation of the height h = -16[tex]t^2[/tex]+150

Where h is the height

t is the time taken

We have to find the time taken for the object to be 6 feet above the valley floor

The height = -150+6

= -144

Substitute the values in the equation

-16[tex]t^2[/tex]+150 = -144

-16[tex]t^2[/tex] = -144-150

-16[tex]t^2[/tex] = -294

[tex]t^{2}[/tex] = 18.375

t = 4.28 seconds

Hence, if equation of the height is h = -16[tex]t^2[/tex]+150, then the time taken for the object to be 6 feet above the valley floor is 4.28 seconds

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Given,

5(2)+15v=00

where v is the number of vans.

Solving,

15v=90

v=6

Thus the correct answer is 6 vans are needed to transport students.

Answer:

one of the angles is 48 degrees the other is 42 degrees

Step-by-step explanation:

Complementary is 90

45 + 45 = 90

48 +42=90

An accountant’s ethical code of conduct represents the moral values, principles, and rules that accountants should have.

The ethical codes of conduct of AICPA and IFAC are the two main codes most countries adopt to guide their members on how to deal with accounting information from an ethical perspective.

The fundamental principles within the Code – integrity, objectivity, professional competence and due care, confidentiality, and professional behavior – establish the standard of behavior expected of a professional accountant (PA) and it reflects the profession’s recognition of its public interest responsibility.

The common thing in all accounting codes of conduct is that "they all go into great detail on the responsibilities of accountants."

Therefore, the correct option is OPTION

The maximum length of each prism is equal to 7.99 centimeter.

First of all, we would determine the maximum surface area of this regular hexagonal prism by using this mathematical expression:

Maximum surface area (quantity) = Cost/unit price

Maximum surface area (quantity) = $11/$0.04

Maximum surface area (quantity) = 275 square centimeter (cm²).

Mathematically, the surface area of a regular hexagonal prism can be calculated by using this formula:

A = 6al + 3√3a²

Where:

Substituting the given parameters into the formula, we have;

275 = 6 × 4l + (3√3 × 4²)

275 = 24l + 48√3

24l = 275 - 48√3

24l = 191.8616

l = 191.8616/24

Length, l = 7.99 centimeter.

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From the given figure the value of x is 6 and the measure of angle 3 is 57°.

From the given figure, m∠4=(20x+3)° and m∠6=(9x+3)°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

22). From the given figure

m∠4+m∠6=180° (Coointerior angles sum is equal to 180°)

(20x+3)°+(9x+3)°=180°

⇒ 29x+6=180

⇒ 29x=174

⇒ x=6

m∠4=(20x+3)°=123°

m∠3+m∠4=180° (Adjacent angles sum is equal to 180°)

m∠3+123=180

m∠3=57°

23). From the given figure

m∠3=m∠6 (Alternate interior angles are congruent)

x+10 = 4x-20

⇒ 3x=30

⇒ x=10

Now, m∠6=4x-20

=20

m∠6+m∠8=180° (Adjacent angles sum is equal to 180°)

20+m∠8=180°

⇒ m∠8=160

Therefore, from the given figure the value of x is 6 and the measure of angle 3 is 57°.

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The weight of the largest piece of pie is 250 gram.

Let the weights of others be illustrated as x.

Therefore, the weight of the largest weight is the addition of the others weight. This will be:

= x + x + x = 3x

Therefore, the weights will be:

3x + x + x + x = 500

6x = 500.

Divide

x = 500 / 6

x = 83.33.

The larger weight will be:

= 3x

= 3 × 83.33

= 250

The pie weights 250g.

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The total score in the basket game = 139

Falcons score = 9x + 22

Maverick score = 16x - 8

Therefore,

139 = 9x + 22 + 16x - 8

collect like term

139 - 22 + 8 = 9x + 16x

125 = 25x

divide both sides by 25

x = 125/25

x = 5

Falcons score = 9x + 22

Falcons score = 9(5) + 22

Falcons score = 45 + 22

Falcons score = 67

Answer:

1/5, 30%, 0.8, 4/3

Answer:

Use the information from parts a

Step-by-step explanation:

Answer: 529.3 downloads

Explanation:

Standard version size = 2.1 MB

High quality version = 4.7 MB

The high-quality version was downloaded twice as often as the standard version

H = 2 S

The total size downloaded for the two versions = 3335 MB

H + S = 3335

We have the system:

H = 2 S (a)

H + S = 3335 (b)

Put A into B

(2S ) + S = 3335

3S = 3335

S= 3335/3

S= 1,111.67 MB

Divide the total MB of standard versions by the size of each standard version.

1,111.67 / 2.1 = 529.3 downloads

The vertex of the equation is (-3, 2). And the range will be the set of all real numbers equal to or larger than 2, written as:

y ≥ 2.

For an absolute value function of the form:

y = |x - a| + b

The vertex is a the point (a, b).

And the range (the set of the possible values of y that we can get with the function) will be the set of all real values equal or larger than b.

In this case, the absolute value function is:

y = |x + 3| + 2

Comparing it with the general one, we can see that the vertex is (-3, 2)

And then the range is y ≥ 2.

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1. Quadrilateral.

2. Rectangle.

3. Parallelogram.

Step-by-step explanation:

there is one item and it cannot be split.

the winning bid was $8,000.

that means the fair share for each one of the 5 participants is

8000/5 = $1,600

the winner is getting one item with a value greater than his fair share.

so, he has to pay the difference into the kitty :

8000 - 1600 = $6,400

Answer:

6,000

Step-by-step explanation:

Answer:

It has reflectional symmetry with four lines of symmetry.

Step-by-step explanation:

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

Explanation:

Choice A is false since it does have rotational symmetry. See choice B.

Choice B is close, but the "90 degrees" needs to be "45 degrees". Each 45 degree rotation of the figure has the "before" and "after" be the same.

Choice C is one of the answers. There's a vertical line of symmetry, and a horizontal one as well.  Then there are two diagonal lines of symmetry. Each goes through the center. A line of symmetry is a mirror line to allow us to reflect one half over this line to get the other half.

Choice D is another answer. It has point symmetry since we can pick any point on the figure and reflect it over the center point, to land on a corresponding image point on the opposite side of the figure. For example, the northern most point reflects over the center to land on the southern most point.

x² -16=0

1) Since we have two roots and any quadratic equation can be rewritten as once we have the roots:

So let's find one equation whose roots are 4 and -4, with coefficient a=1

(x-4)(x+4)=0

x² -16=0

2) So the equation x² -16= 0 has roots x_1=4 and x_2= -4 S={-4,4}

The point estimate of the population mean is 9

The point estimate of the population standard deviation is 2.83

Part a

Point estimate of population mean:

Given the sample data is 5,8,10,7,10,14

Number of samples, n is 6

Population mean=[tex]\frac{\sum x }{n}[/tex]

                           =(5+8+10+7+10+14)/6

                           =54/6

                           =9

Point estimate of mean=9

Part b

Point estimate of population standard deviation:

Mean=9

Data (x)     (x-mean)^2

5                16

8                1

10               1

7                 4

10               1

14               25

Total           48

Standard deviation=√(x-mean)^2/n

                               =√48/6

                               =√8

                               =2.83

Hence, the point estimate of population standard deviation is 2.83

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Answer:

area = l×b

= 6×4

. = 24 cm²

Step-by-step explanation:

this is the answer

a. the distribution of X ~ N(15,5)

b.  the probability that it lasted at least 12 days = 0·72575

c.  the probability that it lasted between 17 and 22 days  = 0.30567

d. 72% of all of these types of trials are completed within  13 days

(a)

The x follow normal distribution with mean standard deviation

X ~ N(15,5)

(b)

probability at least 12 days.

P(X≥12) = 1 - P(X ≤12)

            = 1 - P((X - μ)/б ≤ (12-15)/5 ]]

            = 1 - P[Z  < -0.6]

            = 1 - 0·27425

            = 0·72575

(c)

Probability at least between 16 & 21 days

P(16 < x < 21) = p( (16-15)/5 <  (X - μ)/б - (21-15)/5]

                     = p (0.2 < Z < 1.2 )

                     = p[Z < 1.2] - P[Z < 0.2]

                     = 0.8849 - 0.5792

                     = 0.30567

(d)

standard normal table z is 0.65

p (Z < 0.65) = 0.74215

using Z score formula

X = Z x  б + μ

X = 0.65 x 5 + 15

X = 13

This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Before we can determine the probability that a certain event will occur, we must first know the total number of outcomes.

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We are to solve an inequality and give the answer in graph form.

The inequality is:

Let's solve for n in order to be able to answer the question.

we start by trying to isolate n on one side of the inequality symbol. So first combine 6-5 = 1 and re-write the inequality:

Now, subtract 1 from both sides, and you get the final answer:

n must be larger than or equal to 17. WHich agrees with the first answer option provided by the problem.