Which best describes the solution set of the compound inequality below?

Answer:

A. y=6x-11

Step-by-step explanation:

1) Calculate slope

(0,0) (-2,-12)

(-12-0)/(-2-0) = 6

The parallel equation will have same slope(of 6)

2) plug in point (6/5, -19/5)

y=6x+b

-19/5=6(6/5)+b

b=-19/5-36/5=-55/5 = -11

3) equation

A. y=6x-11

Answer:

\(715x^4y^9\)

Step-by-step explanation:

Given

\((x + y)^{13\)

Required

Determine the 10th term

Using binomial expansion, we have:

\((a + b)^n = ^nC_0a^nb^0 + ^nC_1a^{n-1}b^1 + ^nC_2a^{n-2}b^2 +.....+^nC_na^{0}b^n\)

For, the 10th term. n = 9

So, we have:

\((a + b)^n = ^nC_{9}a^{n-9}b^{9\)

\((x + y)^{13} = ^{13}C_{9}x^{13-9}y^9\)

\((x + y)^{13} = ^{13}C_{9}x^4y^9\)

Apply combination formula

\((x + y)^{13} = \frac{13!}{(13-9)!9!}x^4y^9\)

\((x + y)^{13} = \frac{13!}{4!9!}x^4y^9\)

\((x + y)^{13} = \frac{13*12*11*10*9!}{4!9!}x^4y^9\)

\((x + y)^{13} = \frac{13*12*11*10}{4!}x^4y^9\)

\((x + y)^{13} = \frac{13*12*11*10}{4*3*2*1}x^4y^9\)

\((x + y)^{13} = \frac{17160}{24}x^4y^9\)

\((x + y)^{13} = 715x^4y^9\)

Hence, the 10th term is \(715x^4y^9\)

Over the interval t = 3 to t = 4, g(t) increases.

The increasing factor (f) is computed as follows:

where g(4) is g(x) at t = 4, and g(3) is g(x) at t = 3. Substituting with the formula of g(t) and evaluating each expression, we get:

Then, g(t) increases by a factor of 4

Answer:

17.85

Step-by-step explanation:

2.60+20= 22.60

22.60-4.75= 17.85

Equations are used to find the unknown quantity.

        \(x=22.6-19\\x=3.6\)

The equation which represents the equality between the two expressions. Equations are used to find the unknown numbers.

Given information-

Sarah began the school week with $2.60 in her lunch account.

The amount deposited by the Sarah is $20 on Monday,

The amount spent by the Sarah each day from Thursday to Friday is $4.75.

Suppose the total balance in her lunch account on the end of the day on Friday is \(x\).

As the amount in her account was $2.60, when she began the school. The $20 was then deposited. Thus,

\(x=2.60+20\)

Now she spent $4.75 each day for the next four days. Thus,

\(x=2.60+20-4(4.75)\)

Hence this is the equation which represents the total balance in her lunch account on the end of the day on Friday.

Solve the equation,

\(x=22.6-19\\x=3.6\)

Thus the total balance in her lunch account on the end of the day on Friday is 3.6.

Hence,

        \(x=22.6-19\\x=3.6\)

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Answer:

1 Greatest Common Factor

We have to find out the greatest common factor, of the given polynomial to factorise it. This process is nothing but a type of reverse procedure of distributive law.

2. Grouping

This method is also said to be factoring by pairs. Here, the given polynomial is distributed in pairs or grouped in pairs to find the zeros.

3. Using Identities

The factorisation can be done also by using algebraic identities. The most common identities used in terms of the factorisation are:

(a + b)2 = a2 + 2ab + b2

(a – b)2 = a2 – 2ab + b2

a2 – b2= (a + b)(a – b)

4. Zero Factor Property :The Zero Factor Property (also called the Zero Product Property) says that if the product of two quantities is zero, then at least one of those quantities is zero. The only way to get a product equal to zero is to multiply by zero itself.

5. Greatest Common Factor (GCF) Method:

This is almost always the first method applied to factoring polynomials. Look at all of the terms and see if they all have something in common that can be removed.

6. Sum or Difference in Two Cubes

A cube is a term that has been multiplied by itself twice.

\( {3}^{3} {x}^{3} and \: \: \: {27x}^{3} \)

are all cubed terms. The trick to remembering how to factor cubed terms is S.O.A.P. S = same sign, O = opposite sign A.P. = always positive.

Answer:

\(P(G_1) = \frac{5}{13}\)

\(P(G_2) = \frac{1}{3}\)

\(P(X \ge 1) = \frac{25}{39}\)

Step-by-step explanation:

Given

\(G = 5\)

\(R = 4\)

\(B = 4\)

\(n = 13\)

Solving (a): \(P(G_1)\)

This is calculated as:

\(P(G_1) = \frac{G}{n}\)

\(P(G_1) = \frac{5}{13}\)

Solving (b): \(P(G_2)\)

This is calculated as:

\(P(G_2) = \frac{G - 1}{n - 1}\) -- this is so because the selection is without replacement

\(P(G_2) = \frac{5 - 1}{13 - 1}\)

\(P(G_2) = \frac{4}{12}\)

\(P(G_2) = \frac{1}{3}\)

Solving (c): \(P(X \ge 1)\)

Using the complement rule, we have:

\(P(X \ge 1) = 1 - P(X = 0)\)

To calculate \(P(X = 0)\), we have:

\(G = 5\) --- Green

\(G' = 8\) ---- Not green

The probability that both selections are not green is:

\(P(X = 0) = P(G'_1) * P(G'_2)\)

So, we have:

\(P(X = 0) = \frac{G'}{n} * \frac{G'-1}{n-1}\)

\(P(X = 0) = \frac{8}{13} * \frac{8-1}{13-1}\)

\(P(X = 0) = \frac{8}{13} * \frac{7}{12}\)

Simplify

\(P(X = 0) = \frac{2}{13} * \frac{7}{3}\)

\(P(X = 0) = \frac{14}{39}\)

Recall that:

\(P(X \ge 1) = 1 - P(X = 0)\)

\(P(X \ge 1) = 1 - \frac{14}{39}\)

Take LCM

\(P(X \ge 1) = \frac{39 -14}{39}\)

\(P(X \ge 1) = \frac{25}{39}\)

Answer:

5×789/3

Step-by-step explanation:

According to the question you could simplify the above numbers .

Answer:

789

Step-by-step explanation:

let the number=x

\(\frac{5x}{3}=1315\\5x=1315 \times 3=3945\\x=\frac{3945}{5}=789\)

Answer:  \(\bigg(-3,\dfrac{1}{2}\bigg)\)

Step-by-step explanation:

G = (-7, 3)    H = (1, -2)

\(M_{GH}=\bigg(\dfrac{X_G+X_H}{2},\dfrac{Y_G+Y_H}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-7+1}{2},\dfrac{3+(-2)}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-6}{2},\dfrac{1}{2}\bigg)\\\\\\.\qquad = \large\boxed{\bigg(-3,\dfrac{1}{2}\bigg)}\)

The mid point of the line GH whose end points are (-7,3) and (1,-2) is (-3,1/2).

The mid point is a line which divides the line into two equal parts. The formula to calculate the mid point of line whose end points are (x1,y1) and (x2,y2) is {(x1+x2)/2,(y1+y2)/2}.

To calculate the mid point of the line GH we have to put x1=-7, x2=1,y1=3 and y2=-2 so,

the mid point is {(-7+1)/2,(3-2)/2}

=(-3,1/2)

Hence the mid points of a line GH whose end points are g(-7,3) and h(1,-2) is (-3/1/2).

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Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Answer: B

Step-by-step explanation:

To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.

The answer is B.

1) Apply dilation

2)Find each one x coordinate (x,y)

3) Find the y coordinate for each one

4) See which one matches your answers

Hope this helps!

The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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Answer:

y=3x+1

Step-by-step explanation:

Answer:

the surface area of the cube is 150 inches squared

Step-by-step explanation:

The computation of the surface area of the cube is shown below:

As we know that

The surface area of the cube is

= 6s^2

= 6(5)^2

= 150 inches squared

hence, the surface area of the cube is 150 inches squared

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

Answer:

B: $2.50

Step-by-step explanation:

$120 ÷ 48 roses = cost per rose ($2.50)

Answer:

câu này là 500 nhen

Answer:

36

Step-by-step explanation:

8x-20=5x+1

-5       -5

3x=-20+1

+20 +20

3x=21

3  3

x=7

8(7)-20

FED=36

The example that is a continuous data is B. The wait time at a bus station

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

The list of options

By definition, a continuous data is a data that can take any value including decimals

From the list of options, we have:

B. The wait time at a bus station

The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer

Hence, the continuous data is B. The wait time at a bus station

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The elements in order of greatest mass are hydrogen, carbon, oxygen, silver, and gold.

List the elements in ascending order of mass per atom, from least to most.) of Element Weight per atom Carbon 1.995 X 10-23 0 Gold 3.272 X 10-22 0 Hydrogen 1.674 X 10-24 6 2.658 x 10-23 6 oxygen Silver 1.792 X 10-22 0

Scientific notation is used to write the mass. Large numbers are expressed in smaller quantities using scientific notation.

For instance:

The elements in order of greatest mass are hydrogen, carbon, oxygen, silver, and gold.

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Answer:

Step-by-step explanation:

Answer:About 45 men

Step-by-step explanation:

If 7 men build a house in 300 days then it takes 2 men can build the house in 70 days​

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that 7 men build a house in 300 days.

We need to find the number of  men working at the same rate can build the house in 70 days​.

Let x be the number of workers.

Form a proportional equation.

7/300=x/70

Apply cross multiplication.

490=300x

Divide both sides by 300

x=490/300

x=1.6

x=2

Hence, if 7 men build a house in 300 days then it takes 2 men can build the house in 70 days​

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Answer:

\(P(1\ and\ 2) = 0.3309\)

Step-by-step explanation:

Given

\(Red = 3\)

\(Blue = 4\)

\(Orange=10\)

Required

Probability of selecting 2 orange marbles

The total number of marbles is:

\(Total = Red + Blue + Orange\)

\(Total = 3 + 4 + 10\)

\(Total = 17\)

The probability that the first selection is orange is:

\(P(1) = \frac{10}{17}\)

Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

So, the probability that the selection is orange is:

\(P(2) = \frac{10-1}{17-1}\)

\(P(2) = \frac{9}{16}\)

The required probability is:

\(P(1\ and\ 2) = P(1) * P(2)\)

\(P(1\ and\ 2) = \frac{10}{17} * \frac{9}{16}\)

\(P(1\ and\ 2) = \frac{10*9}{17*16}\)

\(P(1\ and\ 2) = \frac{90}{272}\)

\(P(1\ and\ 2) = 0.3309\)

The probability that, if he removes 2 marbles without looking and without replacement, he will get two orange marbles is 0.3309.

Given that,

Jacob has a bag of his favorite marbles.

It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.

We have to find,

What is the probability that, if he removes 2 marbles without looking and without replacement, he will get two orange marbles.

According to the question,

It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.

Total number of marbles = 3 + 4 + 10 = 17

The probability that the first selection of orange is,

\(P(1) = \dfrac{10}{17}\)

The selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

\(P(2) = \dfrac{10-1}{17-1}\\\\P(2) = \dfrac{9}{16}\)

Therefore,

The required probability is,

\(P(1 \ and\ 2) = P(1) \times P(2)\\\\P(1 \ and \ 2)= \dfrac{10}{17} \times \dfrac{9}{16}\\\\P(1 \ and \ 2) = \dfrac{90}{272}\\\\P(1 \ and \ 2) = 0.3309\)

The probability that the selection is orange is 0.3309.

Hence, The probability that, if he removes 2 marbles without looking and without replacement, he will get two orange marbles is 0.3309.

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Answer:

what are you trying to ask

Step-by-step explanation:

Answer:

A: housing and meal

Step-by-step explanation:

Edg 2021

took the test

Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.

To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:

Present Value = Future Value / (1 + (Interest Rate × Time))

In this case:

Future Value = $4500

Interest Rate = 7.0%

= 0.07

Time = 5 years

Substituting these values into the formula:

Present Value = $4500 / (1 + (0.07 × 5))

Present Value = $4500 / (1 + 0.35)

Present Value = $4500 / 1.35

Present Value ≈ $3333.33

You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:

Future Value / (1 + (Interest Rate Time)) = Present Value

In this instance

$4500 is the future value.

Rate of Interest = 7.0% = 0.07

t = 5 years

Substituting these values into the formula:

$4500 / (1 + (0.07 5)) = Present Value

$4500 / (1 + 0.35) equals the present value.

Present Value = $4500 / 1.35

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The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33

Using the formula for calculating the future value of a single sum:

Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)

We rearrange the formula to solve for the present value (PV):

PV = FV / (1 + Interest Rate * Time)

Plugging in the given values:

FV = $4500

Interest Rate = 7.0% = 0.07

Time = 5 years

PV = $4500 / (1 + 0.07 * 5)

PV = $4500 / (1 + 0.35)

PV = $4500 / 1.35

PV ≈ $3333.33

Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).

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The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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Aaron has 32 dimes and 8 quarters

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

Worth of coins = 520 cents

Type of coins = Dimes and quarters

Four times as many dimes as quarters

Represent the dimes with d and the quarters with q

So, we have the following representation

d = 4q

When the dimes and quarters are converted to dollars, we have the following representations

Dimes = $0.10

Quarters = $0.25

So, we have the following representation

0.10d + 0.25q = 5.20

Recall that

d = 4q

So, we have

0.10 * 4q + 0.25q = 5.20

Evaluate the products

0.65q = 5.20

Divide both sides by 0.65

q = 8

Recall that

d = 4q

So, we have

d = 4 * 8

Evaluate

d = 32

Hence, the number of dimes is 32

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Answer:

7.5612  ×  10 ^4

Step-by-step explanation:

You move the decimal until there is one digit to the left of the decimal. However many times you moved it becomes the power of the 10. If you move the decimal to the right, it will be negative. If you move the decimal to the left, it will be positive.

Answer:

461 521

Step-by-step explanation:

use calculator ‍♂️

Answer:

a

Step-by-step explanation:

bece u sr gģ v vyvy bleh gm have g GMV Espanola unmet yucky nvm i gifted go by Grau Cinco

The net present value of the project is $0.15 million.

Net present value is the present value of after-tax cash flows from an investment less the amount invested.

hee, we have,

The first step is to determine the cash flow of the project.

Cash flow = (sales - cost - depreciation) × (1 - tax) + depreciation

Depreciation = (cost of the asset ) / useful life

Depreciation = $2.18 million / 3

Depreciation = 0.727 million

Cash flow = (1.645 -  0.61 - 0.727) x (1 - 0.21) + 0.727 = $0.97 million

Net present value = -2.18 million + 0.97 / 1.12 +  0.97 / 1.12² +  0.97 / 1.12³

= $0.15 million

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