Please help asap!!!!!!!! Number 2 and 3

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: 1/12 x + 1/3

Hope this helps.

Answer:

L=5

w=3

Step-by-step explanation:

Length = 3x+4

2L+2W=16

plug in 3x+4 into L

2(3x+4)+2x=16

6x-8+2x=16

6x+2x=16+8

then just do basic algebra

8x=24

divide 24/8

x=3 is the width

5 is the length

L=5

w=3

The use of Arabic numerals in mathematical calculations provides a consistent, efficient, and universal framework for representing, manipulating, and communicating numerical information, contributing to the development and advancement of various fields of mathematics and sciences.

Arabic numerals, also known as Hindu-Arabic numerals, are the number system we commonly use today, consisting of the digits 0-9. They play a crucial role in performing mathematical calculations for several reasons:

1. Positional notation: Arabic numerals utilize a positional notation system, where the value of a digit depends on its position within the number. This allows for concise representation of numbers and makes arithmetic operations like addition, subtraction, multiplication, and division more efficient and intuitive.

2. Flexibility: Arabic numerals are versatile and can represent a wide range of numbers, from small integers to extremely large or small values. This makes them suitable for all types of mathematical calculations, including basic arithmetic, algebra, calculus, and more advanced mathematical concepts.

3. Universality: Arabic numerals are widely adopted and recognized across the world, making them a universal system for mathematical communication. This standardization enables mathematicians, scientists, engineers, and individuals from different cultures and languages to understand and collaborate on mathematical problems without language barriers.

4. Decimal system: Arabic numerals are based on a decimal system, meaning that they operate in multiples of 10. This aligns with our everyday experiences and facilitates easy comprehension and estimation of quantities. It also allows for efficient conversions between different units and simplifies complex calculations involving fractions and percentages.

Overall, the use of Arabic numerals in mathematical calculations provides a consistent, efficient, and universal framework for representing, manipulating, and communicating numerical information, contributing to the development and advancement of various fields of mathematics and sciences.

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Answer:

3/2, one solution.

Step-by-step explanation:

12(x-3)+18=4(2x-3)

12x-36+18=8x-12

12x-8x-18=-12

4x-18=-12

4x=-12+18

4x=6

x=6/4

simplify

x=3/2

Answer:

210°

Step-by-step explanation:

By inscribed angle theorem:

\( m\angle DFG = \frac{1}{2} \times m\widehat{(EDG)} \\\\

105\degree = \frac{1}{2} \times m\widehat{(EDG)} \\\\

105\degree\times 2= m\widehat{(EDG)} \\\\

\huge \red {\boxed {\therefore m\widehat{(EDG)} = 210\degree}} \)

Answer:

haha

Step-by-step explanation:

Where is the rectangle below? I cant see any attached pictures or any other info. How am I supposed to solve this?

Would be appreciated if you put a screenshot so that I can see the question and answer the problem correctly.

Answer: 12 minutes

Step-by-step explanation:

Volume of water in the tank

l x b x h = 24 * 16 * 15 = 5760 cu. in.

Time it will take to fill the tank

= 5760 / 500 = 11.52 = 12 minutes

Answer:

The answer is "\(\bold{\$1160}\)"

Step-by-step explanation:

Calculating total paid money:

\(= \$4000 \times 101\% \\\\= \$4000 \times \frac{101}{100} \\\\=\$40 \times 101\\\\=\$4040\)

\(\text{Total received money = Principle on Maturity + Interest for 5 years}\)

                                   \(= \$4000 + \$4000\times 6\% \times 5 \\\\= \$4000 + \$4000\times \frac{6}{100} \times 5 \\\\= \$4000 + \$40 \times 6 \times 5 \\\\= \$4000 + \$40 \times 30 \\\\= \$4000 + \$1200 \\\\= \$5200 \\\\\)

Total earnings over the life of the corporate bond

\(= \$5200 - \$4040 \\\\=\$1160\)

The slope is 2/3 and the y-intercept is 4, then the equation of the line in slope-intercept form would be y=2/3x+4. This means that the line has a slope of 2/3 and crosses the y-axis at 4.

The slope-intercept form of a linear equation is written as y=mx+b, where m is the slope of the line and b is the y-intercept. The slope of the line represents the rate at which the line is rising or falling, while the y-intercept represents the point where the line crosses the y-axis.

To find the equation of a line in slope-intercept form, you need to know its slope and y-intercept. The slope is usually given as a fraction or a decimal, while the y-intercept is a single number.

To write the equation of a line in slope-intercept form, you start by substituting the slope and y-intercept values into the formula. Then, simplify the equation by multiplying the slope by the x-value and adding the y-intercept to get the value of y.
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rude!we dont us such words here change it please

The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line.  we must first calculate the derivative of the given equation.

We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).

We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.

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Answer:

44%

Step-by-step explanation:

Answer:

Step-by-step explanation:

√4x^2=2x

Answer:

3!

Explanation:

By calling a sunny weather "beautiful" and rainy weather "depressing", you're inserting your own opinion into the question- which makes it biased!

Answer:

x = 0

Step-by-step explanation:

if 2y + x = 4

we can assume that y = 2
if y - 3x = 2

it means 2 - 0 = 2

therefore x = 0

Answer:

Bryan Lively Professional Records Browse Bryan's professional profiles below to see current job title, work email address, place of employment and phone number. Showing 11 of 11 Results i think

The best interpretation of these data is that there is a direct relationship between number of hours studied and the score on the test.

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. In this case, the positive value of r = .59 indicates a direct (or positive) relationship between number of hours studied and the score on the test. This means that as the number of hours studied increases, the score on the test tends to increase as well.

Therefore, we can conclude that more study leads to a higher score on the test.

Option 1 and 2 are correct interpretations, while options 3 and 4 are incorrect. Option 3 implies a negative correlation coefficient, while option 4 implies an inverse relationship between the variables, which is not the case here.

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In order to advise the tire manufacturer on their advertising effectiveness and allocation, we need to calculate the marginal return to sales for each region, assess the impact of additional advertising expenditure, determine where the additional money should be spent, and consider the reallocation of current advertising expenditures.

To find the marginal return to sales for each region, we differentiate the sales equation with respect to x. For Region 1, ds_1/dx = 36 - 2.6x, and for Region 2, ds_2/dx = 19 - 1.2x. If $10 million is being spent on TV advertising in each region, we substitute x = 10 into the respective equations to find the marginal return to sales. In Region 1, ds_1/dx = 36 - 2.6(10) = 11, and in Region 2, ds_2/dx = 19 - 1.2(10) = 7. Hence, the marginal return to sales is $11 million in Region 1 and $7 million in Region 2.

To determine which region would benefit more from additional advertising expenditure, we compare the marginal returns. Since the marginal return in Region 1 is higher ($11 million) compared to Region 2 ($7 million), Region 1 would benefit more from additional advertising expenditure.

If additional money is made available for advertising, it should be spent in Region 1 as it has the higher marginal return. Increasing the advertising expenditure in Region 1 would likely result in a greater increase in sales revenue compared to Region 2.

To reallocate money already being spent to produce more sales revenue, we should compare the coefficients of the quadratic term (x^2) in the sales equations. In Region 1, the coefficient is -1.3, and in Region 2, it is -0.6. Since the coefficient in Region 1 is larger in absolute value, reallocating some advertising expenditure from Region 2 to Region 1 would likely lead to a larger increase in sales revenue overall.

Therefore, based on the analysis, the tire manufacturer should focus on increasing advertising expenditure in Region 1, as it has a higher marginal return, and consider reallocating some advertising funds from Region 2 to Region 1 to optimize sales revenue.

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Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

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Answer:

THE SECOND ONE

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

Therefοre, the sοlutiοn οf the given prοblem οf trigοnοmetry cοmes οut tο be cοt²(135-b) = 3.

Relatiοnships between cubic splines and maths variable astrοphysics is believed tο have been created when the variοus fields came tοgether. Many metric prοblems can be sοlved triangle οr the results οf their calculatiοn can indeed be determined with the help οf precise mathematical methοds. Trigοnοmetry is the study οf six basic trigοnοmetric calculatiοns. They gο by a variety οf titles and acrοnyms, including sine, deviatiοn, angle, and sο fοrth (csc).

Here,

First, we need tο find the value οf cοs(b) using the given infοrmatiοn that sin(2b) = -1/5:

=> sin(2b) = 2sin(b)cοs(b)

=> -1/5 = 2sin(b)cοs(b)

We knοw that sin^2(b) + cοs^2(b) = 1, sο we can rearrange this equatiοn tο sοlve fοr cοs(b):

=> cοs²(b) = (1 - sin²(b))

Substituting this intο the equatiοn we fοund abοve:

=> -1/5 = 2sin(b)cοs(b)

=> -1/5 = 2sin(b)√(1 - sin²(b))

Squaring bοth sides and simplifying:

=> 1/25 = 4sin²(b)(1 - sin²(b))

=> 1/25 = 4sin²(b) - 4sin²(b)

=> 4sin²(b) - 4sin²(b) + 1/25 = 0

We can sοlve fοr sin^2(b) using the quadratic fοrmula:

sin²(b) = [4 ± √(16 - 4(4)(1/25))] / (2(4))

sin²(b) = [4 ± 2/5] / 8

sin²(b) = 3/10 οr 1/20

Since sin(2b) is negative, we knοw that sin(b) is negative as well, sο sin²(b) = 3/10. Therefοre:

cοs²(b) = 1 - sin²(b) = 1 - 3/10 = 7/10

Nοw we can use the identity

=> cοt²(θ) = 1 / [tan²(θ)] tο find cοt²(135-b):

1 / [tan(135-b)] = cοt(135-b)

By applying the fοrmula tan(x) = sin(x) / cοs(x):

=> tan(135-b) Equals cοs(135-b) / sin(135-b) (135-b)

The identities sin( + 90) = cοs() and cοs( + 90) = -sin() are used tο illustrate:

=> Cοs(90-b) = sin(135-b) = sin(45 + (90-b)) = sin (b)

=> Sin(90-b) = cοs(135-b) = cοs(45 + (90-b)) = cοs (b)

Using these numbers in place οf:

=> 1/tan(135-b) = sin(b) / cοs(b) (3)

=> 1 / [tan(135-b)] = cοt(135-b) = 1 / [(-1/√(3))²] = 3

Cοnsequently, cοt2(135-b) = 3.

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Complete question:

Solve for b in cot²(135-b) if sin²b = -1/5

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

Answer:

Step-by-step explanation:

400 km  =       x    

  6 min         9 min  

cross multiply:

6x = 400 ( 9)

x = 3600 / 6

x = 600 km

Answer:-5

Step-by-step explanation:

The slope intercept form of the equation become y = (-1/3)x - 1/3.

According to the statement

We have to find that the slope intercept equation.

So, For this purpose, we know that the

Slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

From the given information:

y - 3x = 8

y = 3x + 8  

Slope = 3

And

Perpendicular lines have slopes that are negative reciprocals of each other. So, the new line will have a slope of = -1/3.

P(-4,1)

y - 1 = (-1/3)(x +4)

y - 1 = (-1/3)x - 4/3

y = (-1/3)x - 1/3.

So, The slope intercept form of the equation become y = (-1/3)x - 1/3.

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The sample consists of the 15 workers selected to participate in the survey.

The population consists of 200  workers.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Out of a group of 200 workers, 15 are chosen to participate in a survey about the number of Miles they drive to work each week.. In this situation the samples consist of the 15 workers selected to participate in the survey.The population consist of 200 workers

SAMPLE: This is a representative part of a population on which a research is about the population is administered

POPULATION: This is the large collection of people or objects that is the focus of a scientific query or research. Often times, the logistics involved in reaching the entire population may be unavailable, so a sample is taken

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