Mathematics College

Find the sum of the arithmetic series 31+37 +43 +49 +... where n=8,OA. 416B. 1668OC. 832D. 834Reset Selection

Answers

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

[tex]\begin{gathered} a_1=31 \\ n=8 \\ d=37-31=6 \end{gathered}[/tex]

STEP 2: Write the formula for finding sum of arithmetic series

STEP 3: Find the sum of the series

By substitution,

[tex]\begin{gathered} S_8=\frac{8}{2}[2(31)+(8-1)6] \\ S_8=4(62+42) \\ S_8=4(104)=416 \end{gathered}[/tex]

Hence, the sum is 416

Related Questions

Evaluate when n=5 4n

Answers

We are given an expression "4n"

The question says to evaluate this expression when n = 5

Here, evaluation simply means, finding the value of "4n" when n = 5. This is a simple problem of substitution. By substitution I mean replacing every occurence of n in the given expression by 5. This would be done as follows:

Given expression = 4n

Note that here 4 is being multiplied to n.

Replacing n by 5, we get the result as:

[tex]4\text{ }\times\text{ 5 = 20 }[/tex]

From here, we can conclude that the value of expression "4n" for n = 5 will be 20.

A delivery company uses robot dogs to deliver packages in anoffice building. The graph shows how long a robot dog can operatetor each hour its battery is charged.Pickany two points on the line. Find the slope of the line betweenInesetwo points. Can you find another pair of points on the linehat gives you a different slope?

Answers

Given:

Let the two points from the graph are

[tex](1,30)\text{ and (}2,60)[/tex][tex]\begin{gathered} \text{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{60-30}{2-1} \\ =30 \end{gathered}[/tex]

No, its impossible to find the another pair of points to give a different slope.

Only one slope from a line.

3t^2-2t+5; find the company revenues last month if t=-1

Answers

Given revenue function is:

[tex]R=3t^2-2t+5[/tex]

Now revenue at t=(-1)

[tex]\begin{gathered} R=3(-1)^2-2(-1)+5 \\ R=3+2+5 \\ R=10 \end{gathered}[/tex]

So the revenue at t=-1 is 10.

Joe earned 2,100$. He spent 1/5 on rent and 1/4 on food. How much money did he have left?

Answers

The amount of money that Joe has left is $1155

How to calculate the amount of money left ?

Joe earned $2100

He spent 1/5 of the money on rent

1/5 × 2100

= 420

$420 was spent on rent

He spent 1/4 of the money on food

= 1/4 × 2100

= 525

$525 was spent on food

The amount of money left can be calculated as follows

Total amount spent = 525 + 420

= 945

Amount left= 2100 - 945

= 1155

Hence Joe has $1155 left

Answers

20 miles per hour

1) Gathering the data from the question:

S=140 miles

Time spent =7 hours

Average speed=?

2) The average speed is calculated using a ratio:

[tex]A\text{ =}\frac{140}{7}=\text{ 20}[/tex]

Since the units are in a standard usual way, we don't need to do any conversion so, the answer is

20 miles per hour

Suzanne is designing a garden for the Gateway Botanical Center. She used a scale of 1 : 600 to make the drawing below. 5 cm 15 cm What is the actual area of the garden, in square meters? (1m = 100 cm)

Answers

The given scale is 1:600.

The dimensions of the drawing are 5 by 15.

We just have to multiply each dimension by 600.

[tex]\begin{gathered} 5\times600=3000 \\ 15\times600=9000 \end{gathered}[/tex]

So, the dimensions of the actual area are 3,000 cm and 9,000 cm. But, we know that 1 meter equals 100 centimeters, let's transform.

[tex]\begin{gathered} 3000cm\cdot\frac{1m}{100\operatorname{cm}}=30m \\ 9000\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}}=90m \end{gathered}[/tex]

Then, we multiply the dimensions to find the area.

[tex]A=30m\times90m=2700m^2[/tex]Hence, the actual area is 2,700 square meters.

what is 3 to the negative 8th power divided by 3 to the negative 4th power

Answers

Answer

Answer = 3⁻⁴ = (1/3⁴) = (1/81)

The answer is 3 raised to the power of negative 4 or 3 to the negative 4th power.

Explanation

The law of indices is usually applied when questions that involve same numbers with (different or the same) powers are considered.

When a number carrying a particular power is divided by the same number also carrying another power, the result is that same number raised to the power of the difference between the power of the numerator and the power of the denominator.

It'll be clearer in practice now.

[tex]\frac{3^{-8}}{3^{-4}}=3^{-8\text{ - (-4)}}=3^{-8+4}=3^{-4}[/tex]

Hence, the answer is 3 raised to the power of negative 4 or 3 to the negative 4th power.

Hope this Helps!!!

Michael wants to save $55,000.00 for a down payment on a home. How much will he need to invest in anaccount with 8.5% APR, compounding daily, in order to reach his goal in 3 years?

Answers

Step 1. The information that we have is:

The final amount that Michael wants to save is:

[tex]A=55,000[/tex]

We will call that amount A.

The annual percentage rate of the investment, which we will label as r, is:

[tex]r=8.5[/tex]

We will need this annual percentage rate represented as a decimal number, therefore, we divide it by 100:

[tex]\begin{gathered} r=8.5/100 \\ r=0.085 \end{gathered}[/tex]

The time of the investment, t, is 3 years:

[tex]t=3[/tex]

And it is compounded daily, let n be the number of times of compounding in a year:

[tex]n=365[/tex]

Step 2. We need to find the initial amount of the investment, which will be called P or principal.

The formula we will use to find it is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Step 3. Substituting the known values:

[tex]55,000=P(1+\frac{0.085}{365})^{(365)(3)}[/tex]

From this equation, we need to solve the operations and solve for P, the principal amount of the investment.

Step 4. Simplifying the equation:

[tex]55,000=P(1+0.0002328767)^{1095}[/tex]

Continue simplifying:

[tex]\begin{gathered} 55,000=P(1.0002328767)^{1,095} \\ 55,000=P(1.2904233) \end{gathered}[/tex]

Then, we solve for P:

[tex]\begin{gathered} \frac{55,000}{1.2904233}=P \\ 42,621.6726=P \end{gathered}[/tex]

Rounding to the nearest cent (2 decimal places) The amount that he needs to invest is $42,621.67

Answer: $42,621.67

Is the number -3.7 a natural number, a whole number, an integer, a rational number, an irrational number or a real number?

Answers

ANSWER

Rational number and Real number

EXPLANATION

We want to identify what type of number -3.7 is.

A natural number is a number that is a positive integer, used in counting things. Examples are 4, 7 and 55.

A whole number is a number that is used in counting, including 0 i.e. natural numbers including 0.

An integer is a whole number but the difference is that an integer can be positive, negative or zero.

A rational number is a number that can be expressed as a fraction of two integers i.e. a/b while an irrational number is one that cannot be expressed as a fraction of two integers.

A real number is any number that can be found as a distance between two points on the number line.

From the definitions above, we see that we can classify -3.7 as a rational number and a real number.

It is not a natural number, whole number, irrational number or an integer.

The figure shows two right triangles, each with its longest side on the same line. Z 3 X T y 2 R. S 1. Explain how you know the two triangles are similar 2. How long is XY? 3. For each triangle, calculate (vertical side) = (horizontal side). 4. What is the slope of the line? Explain how you know.

Answers

The triangle are similar because the ratio between 2 sides is the same as the ratio between another 2 sides.

The included angle(angle S and Y) are equal( 90 degree)

I’ve been stuck for a while and it logged me out:(

Answers

Solution

A polynomial is a function in the form of ; where n is non- negative integers which is known as the degree of polynomial. from this definition, it is clear that only option (2) √2 x -1 , is polynomial. because coefficient of variables ; √2, -1 are real number and also power of variable is non-negative integer.

I have selected the options , the ones I have ticked are polynomials, while the one cancelled are none polynomials:

Which is a way to model 9485 with base ten blocks

Answers

The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

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need help with this as soon as possible, answer quick

Answers

Answer:

Given points are,

A'(2,3) and A(3,-4), under the translation.

we get the graph as,

where B is A(3,-4) and A is A'(2,3).

A translation by 1 unit left and 7 units up.

Answer is:

A translation by 1 unit left and 7 units up.

Consider the polynomial function q ( x ) = − 2 x 8 + 5 x 6 − 3 x 5 + 50

Answers

The function has an end behaviour of x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞

How to determine the end behaviour of the function?

The equation of the polynomial function is given as

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

To determine the end behaviour of the function, we calculate

q(∞) and q(-∞)

So, we have

q(∞) = -2(∞)⁸ + 5(∞)⁶ - 3(∞)⁵ + 50

Evaluate the exponents

q(∞) = -2(∞) + 5(∞) - 3(∞) + 50

This gives

q(∞) = -∞ + ∞ - ∞ + 50

q(∞) = -∞

Also, we have

q(-∞) = -2(-∞)⁸ + 5(-∞)⁶ - 3(-∞)⁵ + 50

Evaluate the exponents

q(-∞) = -2(∞) + 5(∞) - 3(-∞) + 50

This gives

q(-∞) = -∞ + ∞ + ∞ + 50

q(-∞) = -∞

Hence, the end behaviour of the graph is x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞

Answers

If Alex has a $100 budget to buy food for his birthday, each pizza cost $10 and each soda bottle cost $3, and Alex bought 7 pizzas, then the greatest number of soda bottles Alex can buy without over budget 10 soda bottles

The total budget = $100

The cost of one pizza = $10

Number of pizza he bought = 7

The total cost of pizza = 7×10 = $70

The remaining money = 100-70

= $30

The cost of one soda bottle = $3

Number of soda bottle can he buy using the remaining money = 30/3

= 10 soda bottles

Hence, if Alex has a $100 budget to buy food for his birthday, each pizza cost $10 and each soda bottle cost $3, and Alex bought 7 pizzas, then the greatest number of soda bottles Alex can buy without over budget 10 soda bottles

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Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 190 pounds of blended coffee beans selling for
$4.55 per pound. She plans to do this by blending together a high-quality bean costing $5.50 per pound and a cheaper
bean at $3.50 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee
bean she should blend.
She should blend lbs of high quality beans.
(Round to the nearest pound as needed.)

Answers

By solving an equation we can say that Sarah needs to blend a total of 96 pounds of coffee beans.

What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the total pounds Sarah needs to blend:

Let the number of pounds by 'x'.

Now form an equation as:

5.50x + 3.50x = 190 × 4.55

Then, solve equation for 'x' as follows:

5.50x + 3.50x = 190 × 4.559x = 864.5x = 864.5/9x = 96 pounds

Therefore, by solving an equation we can say that Sarah needs to blend a total of 96 pounds of coffee beans.

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The cost of 5 gallons of ice cream has a varianceof 36 with a mean of 36 dollars during the summer.What is the probability that the samplean would differ from the true mean by more than 0.6 dollars if a sample of 107 5-gallon pails is randomly selected? Roundyour answer to four decimal places.

Answers

Given:

[tex]\begin{gathered} Variance=36 \\ mean=36 \end{gathered}[/tex]

To Determine: The samplean would differ from the true mean by more than 0.6 dollars

Solution

Please note that standard deviation is the square root of variance

[tex]\begin{gathered} SD=\sqrt{Variance} \\ SD=Standard-deviation \\ SD=\sqrt{36}=6 \end{gathered}[/tex][tex]\begin{gathered} S.E=\frac{SD}{\sqrt{n}} \\ S.E=Standard-Error \\ n=107 \\ S.E=\frac{6}{\sqrt{107}}=0.5800 \end{gathered}[/tex]

Please note that Z is the number of SE(standard error away from the mean. Therefore

[tex]\begin{gathered} Z=\frac{0.6}{0.5800} \\ Z=1.0345 \end{gathered}[/tex][tex]P(|Z|<1.0345)[/tex][tex]P(|Z|<1.0345)=1-P(Z<-1.0345)=1-0.1515=0.8485[/tex]

Hence the probability is 0.8485

Assuming a fixed hourly pay rate, how much would an employee earn for working 4 hours based on this wage table? Hourly Pay Table Hours Worked 2 Money Earned $12.00 $24.00 $36.00 ? A. $36.00 B. $45.00 C. $64.00 D. $48.00

Answers

We have the following table

hour pay

1 12

2 24

3 36

4 ?

It seems that for each hour we work, we end up earning $12. Then, we know that if we work 3 hours we earn 36. So, if we work one more hour (4) we should add 12 to what we earn for working 3 hours. That is

[tex]12+36\text{ = 48 }[/tex]

So we aren 48 for working 4 hours.

An electrician charges $25 per hour plus a one-time service fee of $50. Write an equation to
represent the cost, y, he charges for x hours of service. How much would he charge for 3 hours of
service.

Answers

The equation that represents the cost and the charges for the service is y = $25x + $50. And the he charges $125 for 3 hours of service.

Equation:

An equation state that the value of two mathematical expressions is equal.

For example,

2x + 5 = 7

is an equation.

Given,

An electrician charges $25 per hour plus a one-time service fee of $50.

Here we need to find the equation for the given situation and we have also find the charge for the 3 hour of service.

Let us consider the equation of the line y = mx + c, where m represents the constant change and c represents the fixed constant.

While we apply these equation to the given situation we can get the value of

m = $25

And the value of

c = $50.

Therefore, the equation of the situation is

y = $25x + $50.

We have already now that the y represents the cost and the x represents the hour of service.

Now we have to find the service charge for 3 hours,

So we have to apply the value of x as 3 then we get,

=> y = $25 (3) + $50

=> y = $75 + $50

=> y = $125

Therefore, the cost for 3 hours is $125.

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As Mars revolves around the sun, it travels at a rate of approximately 15 miles per second. Convert this rate to miles per minute. At this rate, how many miles will Mars travel in 3 minutes? Do not round your answers. Rate:mi/minDistance traveled in 3 minutes:mi

Answers

We have:

1 minute = 60 seconds

Then, 15 miles per second to miles per minute is:

[tex]15\frac{miles}{second}\times\frac{60\text{ seconds}}{1\text{ minute}}=15\times60=900\frac{miles}{minute}[/tex]

Next, Distance traveled in 3 minutes is given by:

[tex]distance=900\times3=2700\text{ miles}[/tex]

Answer:

rate = 900 mi/min

distance = 2700 miles

helpppppp plssssssssssssssssssss

Answers

Answer:

No.

Step-by-step explanation:

Pre-Solving

We are given the following inequality:

[tex]76 < 5-\frac{136}{s}[/tex]

And we want to know if s=2 is a solution, meaning if s is 2, will the inequality still be true?

Solving

We can substitute 2 for s in the inequality to test it.

Replace s with 2.

[tex]76 < 5-\frac{136}{2}[/tex]

First, let's divide 136 by 2.

136/2 = 68

The inequality is now:

76 < 5 - 68

Subtract 68 from 5.

76 < -63

The inequality reads "76 is less than -63", which is a false statement (76 is positive, -63 is negative, and positive numbers are greater than negative numbers).

Ergo, s = 2 is not a solution to the inequality.

Instructions:Prepare a written response to the prompt below using a word processor. Please save your file in .doc or .docx format. Yourresponse should be in complete sentences.*To view the grading rubric for this assignment, click on the name of the assignment and click "View Rubric"Assignment Prompt:1. Explain, using the numeric expression below, how to use Order of Operations to compute a numeric value of anexpression.70-2052 - 22)3 +5.(-2)2. Why is it important to have an agreed upon set of rules to determine the order of how we add, subtract, multiply.divide, etc.?3. Please submit your document by clicking on the name of this assignment (above) and attaching your file on the nextscreen.4. If you have any questions, please ask your professor.

Answers

We need to solve the following expression:

[tex]70-2(5^2-22)^3+5(-2)[/tex]

The order of operations is a rule that tells the correct sequence of steps for evaluationf a math expression. We can remember the order using PEMDAS: Parenthesis, Exponents, Multiplication and Division (from left to right).

Then, in our expression, we must solve parenthesis first. It yields

[tex]\begin{gathered} 70-2(25-22)^3-10 \\ 70-2\times3^3-10 \end{gathered}[/tex]

The next step is to raise exponents,

[tex]70-2\times27-10[/tex]

and now, the multiplication step

[tex]70-54-10[/tex]

then, we get 70-64 and the solution is 6.

4(y – 4) = 8 O A. -2 O B. 2 0 C. 4 D. 6

Answers

To find the value of y

4(y – 4) = 8

Divide both-side of the equation by 4

y - 4 = 2

Add 4 to both-side of the equation

y = 2 + 4

y = 6

D is the correct option

Find the equation of a line passing through (-7,9) with a slope of -5.

Answers

y=-5x-26

Explanation

the equation of a line can be written as:

[tex]\begin{gathered} y=mx+b \\ where\text{ m is the slope} \\ and\text{ b is the y-intercept} \end{gathered}[/tex]

now, when we have the slope and a passing point, we need to use the slope-point formula , it says

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ where\text{ m is the slope and \lparen x}_1,y_1)\text{ is a point from the line} \end{gathered}[/tex]

Step 1

a)let

[tex]\begin{gathered} slope=-5 \\ (x_1,y_1)=(-7,9) \end{gathered}[/tex]

b) now replace in the slope-point formula and solve for y

[tex]\begin{gathered} y-y_{1}=m(x-x_{1}) \\ replace \\ y-9=-5(x-(-7)) \\ y-9=-5(x+7) \\ y-9=-5x-35 \\ add\text{ 9 in both sides} \\ y-9+9=-5x-35+9 \\ y=-5x-26 \end{gathered}[/tex]

therefore, the equaton of the line is

y=-5x-26

I hope this helps you

43/1/2 divided by 1/1/4

Answers

When 43/1/2 is divided by 1/1/4 , the value will be 34 4/5.

What is a fraction?

A fraction simply means a numbers that's represented as a/b where a = numerator and b = denominator

In this case, the division of the fraction will be:

43 1/2 ÷ 1 1/4

= 87/2 ÷ 5/4

= 87/2 × 4/5

= 174 / 5

= 34 4/5

This shows the. concept of fractions.

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Use any strategy to determine a combination of apples

and pineapples that will balance the scale.
Explain how you know it will balance.

Answers

1 Pine- apple equal to 9 Apples.

What is Ratio proportion?

The divisional comparison of two quantities yields a ratio, and the equality of two ratios yields a proportion.

A ratio is commonly written as "x: y," though it can also be read as "x is to y" or "x/y."

In terms of comparison, a proportional equation says that two ratios are equal.

When x: y: z: w is used to represent a ratio, it is understood to mean that x is to y as z is to w.

In this case, w and Y are not equal to 0, therefore x/y Equals z/w.

6 Apples = 4 Pomegranates

6 Pomegranates = 1 Pine- apple

1 Pine- apple = 9 Apples.

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A triangle has vertices on a coordinate grid at D(-10, -1), E(-10,6), and F(2,6). What is the length, in units, of DE?

Answers

A triangle has vertices on a coordinate grid at D(-10, -1), E(-10,6), and F(2,6). What is the length, in units, of DE?

we know that

The formula to calculate the distance between two points is equal to

[tex]d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}[/tex]

we have

D(-10, -1), E(-10,6)

substitute the given values in the formula

[tex]\begin{gathered} d=\sqrt[]{(6+1)^2+(-10+10)^2} \\ d=\sqrt[]{(7)^2+(0)^2} \\ d=\sqrt[]{49} \\ d=7\text{ units} \end{gathered}[/tex]

therefore

the distance DE is 7 units

Benny is flying a kite directly over his friend Frank, who is 125 meters away.When he holds the kite string down to the ground, the string makes a 39° anglewith the level ground. How high is Benny's kite?Draw a sketch depicting the situation above.b.)Use trigonometry to determine the height of Benny's kite.

Answers

Solution

Let us draw a diagram to illustrate the information

Using SOHCAHTOA

[tex]\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ \\ tan39=\frac{h}{125} \\ cross\text{ multiply} \\ h=125\times tan39 \\ \\ h=101.2230041 \\ \\ h=101.22m\text{ \lparen to two decimal places\rparen} \end{gathered}[/tex]

Jake and Joshua go to different theme parks during the day. Jake must pay a fee of $30 for a ticket and additional 4$ for every food/beverage. Joshua has to pay 50$ for a ticket and additional 6$ for the food and drinks. How many beverages and food would it take for Joshua to have the same amount of pay as Jake? Graph the item.Write a system of equations, graph them, and type the solution.

Answers

To answer this question, we will set a system of equations, and we will solve the system by the graphical method.

Let x be the number of times Jake buys drinks and food, then the total amount he will pay is determined by the following equation:

[tex]T=30+4x\text{.}[/tex]

Its graph is:

Now, let x be the number of times Joshua buys drinks and food, then the total amount he will pay is determined by the following equation:

[tex]T=50+6x\text{.}[/tex]

Graphing both equations we get:

The intersection of the graphs is the point,

In parallelogram ABCD… Justify your answer with the applicable property.

Answers

Solution

For this case we have the following measures:

m <1= x+12

m < 2= 6x -18

We can set up both angles equal:

x +12 = 6x -18

Solving for x we have:

12+18 = 5x

5x = 30

x= 30/5= 6

Then the value of m< 2 is:

m< 2= 6*6 -18= 36-18= 18

the best second answer is:

If a quadrilateral is ||gram the opposite angles are congruent

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Solve the inequality and write the solution using:the inequality 4. Mark's age, when doubled, is Peggy's age. Peggy is 6 years older than Chris. Chris is 6 years older thanMark. How much older is Peggy than Mark? In how many ways can 3 students from a class of 23 be chosen for a field trip?aYour answer is: Which example best describes a physical model that could be used to studythe human body?OA. A program designed to show how chemicals absorbed duringdigestion are transported to other parts of the bodyOB. A written description of how chemicals in food are broken downduring digestionO C. Molded plastic pieces that fit together to show the organs involvedin digestionD. A graph showing how blood sugar levels change throughout thedigestive process suppose you want to dye a fabric blend of cotton and polyester. which of the following approaches is both feasible and could be the most efficient? select one: a. the first fiber is dyed; the bath is dropped; the second fiber is dyed in a separate bath. b. using one bath, the first fiber is dyed; after all dye is exhausted, necessary processing conditions are changed, and the second fiber is dyed. c. both fibers are dyed simultaneously at the same conditions. d. polyester and cotton can only be dyed individually at the fiber level; it is not possible to dye their blends in fabric form. HelppppppFunction f is a(n)functionThe graph is a reflection in thewith a verticaland atranslationunits:The domain of f isThe domain of the parent function is;The range of f isThe range of the parent function is which nonliear elemeant of polt hints at somthing will happen later in the storyhelp my pls i cant clmix falshbackrising actinforshoding In terms of area, about how much more pizza is given if the diameter is 12 inches compared to one with a diameter of 8 inches? Looking to receive assistance on the following problem, thank you! The points (-6, -10) and (23, 6) form a line segment.Write down the midpoint of the line segment. 6th grade math, Please Help) 2 people pls answer so i can make brainliest! and you will get 20 points :)Evaluate the Algebraic expression; j+2h= when f=6, g=8, h=12, j=2OA) 14OB)18OC)26OD)30 find the area of the composite figures by either adding and subtracting regions The table shows the cost for a clothing store to buy jeans and khakis. The total cost for Saturday's shipment, $1,800, is represented by the equation 15x + 20y = 1,800. Use the x- and y-intercepts to graph the equation. Then interpret the x- and y-intercepts. Short Answer: Where did the Zoot Suit style originate from? Tell me what ethnicityand style of music? Use the table to find the slope of the line.Round your answer out to two decimal places 3.1. in pam encoding, the general rule is that we need to sample at twice the bandwidth. in addition, if we use n bits for each sample, we can represent 2n loudness (amplitude) levels. what transmission speed would you need if you wanted to encode and transmit, in real time and without compression, two-channel music with a bandwidth of 22 khz and 1000 loudness levels? (10 points) note: the sampling size, in bits, must be an integer. to minimize quantizing errors, it is customary to select a sampling rate that is twice as much as the signal bandwidth. 3.2. how much disk space would you require to store 1 minutes of digital music as you calculated above? (10 points) 10-9x24/8x6 (pemdas) buying new-car purchase data by zip code from the polk company is an example of which type of secondary data? question 14 options: commercial source media source tradr association source A radio tower is located 250 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 31 and that the angle of depression to the bottom of the tower is 29 How tall is the tower? ____________ feet. I'm trying to simplify negative 5/8 divided by negative 3/4 how do I do that?