HELP ME PLEASE
20 POINTSSS

5. Use the distributive property to write each of the following expressions as the sum of monomials.

1/3(12z+18z^2)

Answer:

(4, 5)

Step-by-step explanation:

Add the two x values and divide by two, add the two y values and divide by two. Then put them in brackets and those are your coordinates.

The relation between mode, mean and median is:

mode=3median-2mean

Now, to find mean:

2mean=3median-mode

mean=7/2 = 3.5

Let we wish to evaluate the mean  μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.

The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.

The random variable X¯ has a mean, denoted  μX¯, and a standard deviation, denoted  σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.

To know more about Mean:

https://brainly.com/question/30112112

#SPJ4

The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

Learn more about slope on:

brainly.com/question/18957723

#SPJ1

Answer:

b

Step-by-step explanation:

is the situation could the expression model.

The integral ∫cosx/sin^2(x-2) dx= sin(2)ln|sin(x - 2)| - sin(2)cos(x) + sin(2) + cot(x - 2) + 2cot(x - 2)cos(2). Using substitution and partial fractions, we can follow these steps:

First, let's make a substitution by setting u = x - 2. This implies du = dx, and the integral becomes ∫cos(u + 2)/sin^2(u) du.

Next, we apply partial fractions to express sin^(-2)(u) as a sum of simpler fractions. We can write sin^(-2)(u) = A/(sin(u)) + B/(sin(u))^2, where A and B are constants.

Now, we need to find the values of A and B. By finding a common denominator and comparing the numerators, we obtain 1 = A.sin(u) + B.

To determine the values of A and B, we can use a trigonometric identity: sin(u + v) = sin(u).cos(v) + cos(u).sin(v). In our case, sin(u + 2) = sin(u).cos(2) + cos(u).sin(2).

By comparing the coefficients of sin(u) and cos(u) on both sides of the equation, we have A = sin(2) and B = -cos(2).

Substituting these values back into the partial fractions expression, we get sin^(-2)(u) = sin(2)/(sin(u)) - cos(2)/(sin(u))^2.

Now we can rewrite the integral as ∫cos(u + 2)(sin(2)/(sin(u)) - cos(2)/(sin(u))^2) du.

Integrating these terms separately, we have ∫sin(2)cos(u + 2)/sin(u) du - ∫cos(2)/sin^2(u) du.

Integrating the first term is straightforward, resulting in -sin(2)ln|sin(u)| - sin(2)cos(u + 2). For the second term, it simplifies to -cot(u) - 2cot(u)cos(2).

Finally, substituting back u = x - 2 and simplifying, we get the answer: -sin(2)ln|sin(x - 2)| - sin(2)cos(x) + sin(2) + cot(x - 2) + 2cot(x - 2)cos(2).

Learn more about partial fraction here:
brainly.com/question/30763571

#SPJ11

The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

Visit here to learn more about chain rule:

brainly.com/question/28972262

#SPJ11

Answer: 5

Step-by-step explanation:

-10 -6(x-4)=x-42

-6*x=-6x

-6*-4=24

-10-6x+24=x-42

           -24= -24=18

-10-6x=x-18

+10=+10=28

-6x=x-28

     x+=+x

-5x=-28

-5/-28=

x=5

Answer:

u + m ≥ 25

25u + 40m ≤ 1000

Step-by-step explanation:

WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the radio station, plans to give away upper-level and mid-level seats that cost $25 and $40, respectively. Tim wants to give away at least 25 tickets, but he has a budget constraint of $1,000.

Write a system of two inequalities that describes this situation

Solution

Let

u = number of upper level tickets

m = number mid level tickets

Cost of upper level tickets = $25

Cost of mid-level tickets = $40

Tim wants to give away at least 25 tickets

He has a budget constraint of $1,000

Equation for the amount of tickets given away

u + m ≥ 25

Equation for the cost of tickets

25u + 40m ≤ 1000

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer:

-20

Step-by-step explanation:

48 divided by -3 is -16 but you round up since its high enough and it goes to -20

To word process and spell check 6 pages, it takes the word processor 26 minutes. We can use this information to calculate how long it would take to word process and spell check 27 pages.

To find the time taken for 27 pages, we can set up a proportion based on the number of pages and the time taken. The ratio of pages to time should remain the same. Let's assume x represents the time (in minutes) required to word process and spell check 27 pages. Using the proportion: 6 pages / 26 minutes = 27 pages / x. Cross-multiplying: 6x = 26 * 27. Simplifying: 6x = 702. Dividing both sides by 6:x = 117. Therefore, it would take approximately 117 minutes for the word processor to word process and spell check 27 pages.

To know more about word process here: brainly.com/question/3034555

#SPJ11

The total price he has to pay for the clothes is 27.83

What is Percentage ?

Percentage can be defined as the product ratio of given value, total value and hundred.

Clothing price (100 percent) is 26 dollars and 50 cents, Added tax is 5 percent, and total cost is blank.

Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent.

If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05)

which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.

Therefore, The total price he has to pay for the clothes is 27.83

To learn more about Percentage from the given link.

brainly.com/question/21865143

#SPJ1

Answer:

B.{5}

Step-by-step explanation:

2-8x-42=0

(÷2), we get,

1-4x-21=0

-4x-20=0

-4x=20

x=20÷(-4)

x=(-5)

since the question asks for a positive set, the answer is [x=5]

The positive solution set is D. {7}.

A set is a well defined collection of objects written by commas and closed by second brackets.

According to the given question the equation 2x² - 8x - 42 = 0 have two factors and we have write the positive factor in form of a set.

2x² - 8x - 42 = 0

x² - 4x - 21 = 0

x² -7x + 3x - 21 = 0

x(x-7) + 3(x - 7) = 0

(X+3) = 0 OR (x-7) = 0

x = -3 OR x = 7.

learn more about sets here :

https://brainly.com/question/8053622

#SPJ2

Answer:

B and C

Explanation:

Number of the problems in total = 20

Number that he has finished = 4

So, the number of homework Thomas still needs to complete

=20-4

=16

Expressing this as a percentage, we have:

Therefore, the equivalent of the percentage obtained above are:

72, 2-ounce servings can be made to serve with buffalo wings.

Given that 6 bunches of celery each weighs 2 pounds. We have to find out how many 2-ounce servings can be made to serve with buffalo wings. Also, celery has a 75% yield.

\(Total weight of celery = 6 bunches * 2 pounds\)

each = 12 pounds

Total weight of celery in ounces

  \(= 12 pounds * 16 ounces\)

\(= 192 ounces\)

75% yield of celery means that 75% of the celery is edible.

The edible portion of celery

    = 75% of 192 ounces  

   \(= (75/100)*192 = 144 ounces\)

Now, as we have to find the number of 2-ounce servings that can be made, we need to divide the edible portion of celery by 2 ounces each. Thus, the number of 2-ounce servings can be made to serve with buffalo wings

  \(= 144/2 = 72.\)

Hence, 72 2-ounce servings can be made to serve with buffalo wings.

You can learn more about ounce at

https://brainly.com/question/29660742

#SPJ11

Answer:

No solution

Step-by-step explanation:

When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.

By the way, can you follow me on Brainly?

Thanks!

Answer:

x= \(\frac{7 (+-) \sqrt{113} }{8}\)

Step-by-step explanation:

The required solution is x = (25/11) × log(70/17).

It is required to give exact answers, not decimals.

Therefore, the given equation is 1.7(2.8)⁴ˣ = 7(4.6)ˣ.

This can be simplified as follow

s;1.7 × (2⁹/5)⁴ˣ = 7 × (2⁴⁶/10)⁽ˣ/⁵⁾

1.7 × 2³⁶ˣ/25 = 7 × 2²³ˣ/5

Now, divide both sides of the equation by 2^23x/5;

1.7 × 2⁽³⁶ˣ/²⁵ ⁻ ²³ˣ/⁵⁾= 7

Simplify the left side;

1.7 × 2⁽¹¹ˣ/²⁵⁾ = 7

Now, divide both sides by 1.7;

2⁽¹¹ˣ/²⁵⁾ = 70/17

Take log on both sides;

log(2⁽¹¹ˣ/²⁵⁾)) = log(70/17)11x/25 × log(2) =

log(70/17)x = (25/11) × log(70/17)

Thus, the required solution is x = (25/11) × log(70/17).

Learn more about equation at

https://brainly.com/question/30811815.

#SPJ11

Answer:

4 - 1 =3

4 - 1 =3

So, a and b is 3

Answer:

It be worth in the end : ($18,100 x 13.6%) x 4 = $ 9,849.4

Step-by-step explanation:

1 quarter = 3 months => 1 year = 4 quarters

There are several methods for factoring expressions, including factoring out the greatest common factor (GCF), by grouping, using the difference of squares or sum/difference of cubes, using the FOIL method or the reverse FOIL method or using special cases such as perfect square trinomials or difference of squares.

Factoring out the GCF: This method involves finding the greatest common factor of all the terms in an expression and then dividing it out of each term. For example, if we have the expression 12x^2 + 8x^2, the GCF is 4x^2, so we can factor it out and write the expression as 4x^2(3 + 2).

Factoring by grouping: This method involves grouping the terms of an expression into pairs and factoring out a common factor. For example, if we have the expression x^2 + 3x + 2x + 6, we can group the first two terms and the last two terms and factor out a common factor of x from the first group and 2 from the second group. This gives us x(x + 3) + 2(x + 3)

Factoring quadratics: There are a few methods to factor quadratics, such as factoring a difference of squares, or factoring a sum or difference of cubes. For example, if we have the expression x^2 - y^2, we can factor it as (x-y)(x+y) using difference of squares.

Factoring trinomials: There are a few methods to factor trinomials, such as FOIL method or reverse FOIL method. The FOIL method is a mnemonic acronym for first, outer, inner, and last, which is used to multiply two binomials. Reverse FOIL is used to factor a trinomial that is the product of two binomials. For example, if we have the expression x^2 + 5x + 6, we can factor it as (x+2)(x+3) using reverse FOIL method.

Factoring special cases: There are some special cases of factoring that have specific methods. For example, factoring perfect square trinomials such as x^2 + 2x + 1 is factored as (x+1)^2 and factoring difference of squares such as x^2 - y^2 is factored as (x-y)(x+y)

To know more on factoring

https://brainly.com/question/11994048

#SPJ4

Answer:

A.30

Step-by-step explanation:

^ABC = 180⁰-60⁰=120⁰

=> 4x⁰=120⁰

=> x = 30⁰

Answer:

Alrighty - my belief

Step-by-step explanation:

Some people are more likely to because of

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

for such more question on  net profit

https://brainly.com/question/4177260

#SPJ8

Answer:

It is not true since 9x - 3x = 6x and

3x(3) = 9x.

Answer:

Not true b/c

Step-by-step explanation:

9x-3x=6x

and3x(3)=9x

6x is not equal to 9x

Answer:

10

Step-by-step explanation:

3(2x - 1) - 11

Let x=4

3 ( 2*4 -1) -11

PEMDAS says parentheses first

3 ( 8-1) -11

3(7)-11

Then multiply

21-11

Then subtract

10

Answer:

Step-by-step explanation:

6x - 3 - 11

6(4) - 3 - 11

24 - 14

10

The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

Learn more about absolute value at

https://brainly.com/question/1301718

#SPJ4

The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

The derivative of the given equation y = -2x² + 5x - 10 using the first principle method is f'(x) = -4x + 5.

The given equation is y = -2x² + 5x - 10. We need to find its derivative using the first principle model. Formula used in first principle method:

f'(x) = [f(x + h) - f(x)]/h

Where h → 0

Now we can find the derivative of the given equation,

y = -2x² + 5x - 10

using the first principle method. We have:

Let x + h in the equation

y = -2x² + 5x - 10 be (x + h).

Therefore,

y = -2(x + h)² + 5(x + h) - 10

= -2(x² + 2xh + h²) + 5x + 5h - 10

= -2x² - 4xh - 2h² + 5x + 5h - 10

Substituting the values in the first principle formula:

f'(x) = [f(x + h) - f(x)]/h

= [-2x² - 4xh - 2h² + 5x + 5h - 10 - (-2x² + 5x - 10)]/h

= [-2x² - 4xh - 2h² + 5x + 5h - 10 + 2x² - 5x + 10]/h

= [-4xh - 2h² + 5h]/h

= -4x - 2h + 5

Taking limit h → 0,f'(x)

= -4x + 5

Therefore, the derivative of the given equation

y = -2x² + 5x - 10 using the first principle method is

f'(x) = -4x + 5.

To know more about derivative  visit:

https://brainly.com/question/23819325

#SPJ11