Please help will mark Brainly

Please Help Will Mark Brainly

Answers

Answer 1

The graph of the given inequality y < 4x - 5 is attached below.

What is graph of inequality?

Treat the <, ≤, >, ≥ or sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either < or >. Graph the equation as a solid line if the inequality is either or .

A region on one side of a line can be used to graphically represent an inequality. For the purpose of indicating that a line is not a part of the region, inequality plots that use the < or > symbols have a dashed line. Plotting a solid line indicates that an inequality that uses the symbol

" or " is included in the region.

To learn more about graph of inequality, click on the link

https://brainly.com/question/24372553

#SPJ1

Please Help Will Mark Brainly

Related Questions

any help please — Put the fractions 12,38 and 34 in order from smallest to largest. Find the value of 113+256.

Answers

The value of 113+256 is determined by the above fractional formulae. Is 369

Why are fractional equations difficult to solve?

An exact number that shows a percentage of a total is called a fraction. You may figure it out by dividing a sum by the quantity of parts. As an example, the number 12 represents one-half of a whole number or an object. Simple subtraction of the smaller numerator from the larger numerator will yield the solution to the problem. To solve, for instance, 6/8 - 2/8, just take 2 out of the answer. The answer, which can be abbreviated to "4/8," is 12, or 12.

Making a fraction simpler by reducing or simplifying it is our goal. In order to do this, we divide the denominator and numerator by the largest integer that can be divided into both integers precisely. That is to say,

To learn more about fractional equations to refer:

brainly.com/question/10354322

#SPJ1

Timothy bought a house for $360,000. He paid 20% down, and agreed to pay $1,375.69 per month for 30 years. His payment of $1,375.69 does not include property tax and insurance. How much interest will Timothy pay in 30 years?

Answers

INTREST-300000

Step-by-step explanation:

36000000

Write the expression d-7 / 2 in words

Answers

Answer:

The expression "d-7 / 2" can be written in words as

Step-by-step explanation:

The expression "d-7 / 2" can be written in words as "the quotient of d minus 7, divided by 2".

This is the operation of subtracting 7 from d and then dividing the result by 2.

how many times does 6 go into 137

Answers

Answer: 22 times

Step-by-step explanation: divide 137 by 6

22.833333333

137 divided by 6

Find f(2) for the following quadratic.
• Write your answer as a number only.

Answers

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

How do you find f 2 on a parabola?

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

To learn more about parabola refer to :

https://brainly.com/question/27872359

#SPJ1

Please help will mark Brainly

Answers

Let C be the number of children who used the public swimming pool and A be the number of adults.

The total number of people at the pool is given by the equation: C + A = 660

The total cost of admission for all the people at the pool is given by the equation: 1.5C + 2.5A = 1279

Solving the system of equations using substitution, we get:

A = 289 and C = 371

There were 371 children and 289 adults at the public pool on the hot summer's day.

Here are two number machines that always give the same number for any input. Use the machines expressions to explain why both machines will produce the same outputs for any input.

Answers

P=4848399188848488282838577661554

Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)

Answers

As a result, after studying the diagram below of triangle and considering the reasons that follow, the appropriate answers are 1, 2, 3, and 4.

Define triangle.

Any three points in a plane can be connected to create triangles, which are polygonal (shapes) with three sides and three angles. They are among the first shapes in geometry that are explored. Since each polygon (with 4, 5, 6, or n sides) may be divided into triangles, triangles are particularly significant.

Here,

A segment bisector in this case is 1)OP.

Since segment LKMN is not divided into two equal sections, NO OP is not a segment bisector.

A perpendicular bisector is

2)OP.

NO,Because a perpendicular bisector creates an angle to the normal and divides a segment into two equal halves, OP is not a perpendicular bisector.

The angle bisector NO is OP.

Due to the fact that OP they do not divide any angles into two equal pieces.

4) The diagram's vertex of a pair of congruent angles is O.

YES Since O lines connect two angles with the same degree ()

5)O is the right angle's vertex.

NO

As a result of things not being at a straight angle.

6) A segment's midway in the diagram

By drawing diagonals across the four vertices LMNK, it is possible to determine where this segment's midpoint lies.

To know more about triangle, visit

https://brainly.com/question/2773823

#SPJ1

find the volume of the following solids:​

Answers

The volume of the solid is 104 cubic centimeters.

What is cuboid?

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

We have the cuboid.

And the height of the cuboid is 2 centimeters.

Length = 9 centimeters.

Width = 8 centimeters.
The volume of a cuboid is,

=  Length × Width × Height Cubic units.

= 9 x 8 x 2

= 144 cubic centimeters.

And we have missing part of the cuboid.

And the height of the missing cuboid is 2 centimeters.

Length = 9-4 = 5 centimeters.

Width = 8 - 4 = 4 centimeters.

The volume of the missing cuboid is,

=  Length × Width × Height Cubic units.

= 5 x 4 x 2

= 40 cubic centimeters.

So, the required volume,

= Total volume - missing volume

= 144 - 40

= 104 cubic centimeters.

Therefore, the required volume is 104 cubic centimeters.

To learn more about the cuboid;

https://brainly.com/question/29568631

#SPJ1

a book cost $36 is on 25% discount sale how much does the customer needs to pay for the discounted book

Answers

Solution

Given,

The cost of the book is $36 There is a 25% discount on all item

To Find : Amount the customer needs to pay for the discounted book

In order to convert Discount % to Discount we use the formula

[tex]D = \frac{25}{100} X36\\D = 9[/tex]

SP = 36 - 9

SP = $27

The fourth term of an arithmetic sequence is 20. The common difference is -1/5 times the first term. What is the first term? Graph the sequence.

Answers

As a result, the first term of the answer to the given arithmetic mean problem is 14.

What does arithmetic mean?

The Arithmetic Mean or Average of the Group is the product of the sum of all the numbers in a group and the amount of items in that list, divided by both. The Geometric progression is also same as this .This average of the numbers 5, 7, and 9 is, for instance, 4, as 5 + 7 + 9 is 21, and 21 split by 3 [there really are three numbers] equals 7.

Here,

In this case, t(n) = (a + ((n — 1) * d)),

The value of the nth term is t(n),

The first term of the AS is a.

The position of a value in the A.S. is represented by the positive whole integer n, and

The constant common difference among A.S. words is d.

In light of the question, we can say:

11 = (5 + ((4 — 1) * d)),

Take 5 away from both sides.

11 — 5 = (5 + ((4 — 1) * d)) — 5,

On the RHS, the fives cancel one another out.

6 = 3d,

d = 2.

In summary, the common distinction is: 2.

=> 20 = a + 3d

=> 20 - 6

=> a =14

As a result, the first term of the answer to the given arithmetic mean problem is 14.

To know more about arithmetic mean  , visit

https://brainly.com/question/13000783
#SPJ1

Need help solving this please

Answers

Answer:

30 students

Step-by-step explanation:

First, we need to find exactly how many students went to school by car and how many went on the bus.

To do this, we simply multiply the fraction of students that used each transportation method by the total number of students.

[tex]\# \textrm{ of students by car} = \dfrac{3}{8} \times 240 = \dfrac{3 \times 240}{8} = \dfrac{720}{8} = 90 \textrm{ students}[/tex]

So, 90 students went to school by car.

[tex]\# \textrm{ of students on bus} = \dfrac{6}{12} \times 240 = \dfrac{1}{2} \times 240 = \dfrac{240}{2} = 120 \textrm{ students}[/tex]

So, 120 students went to school on the bus.

The number of students that walked to school is the same as the number of students who didn't go in a car or on the bus, so to find the number of students that walked to school, we can subtract the number of students that went by car and on the bus from the total number of students.

[tex]\# \textrm{ of students that walked} = 240 - 90 - 120 = 30 \textrm{ students}[/tex]

YZ ≅ VW, WX ≅ UV, and XY ≅ UZ. Complete the proof that △UVZ ≅ △XWY.

Answers

Statement:

8.) △UVZ ≅ △XWY

Reason: Side-Side-Side postulate


The table at the right shows data representing a polynomial function. Answer A, B, and C.

Answers

a) The degree of the polynomial is 5.

b) The second difference is -726        -126        -6        114         714

c) The difference when they are constant is 480.

What is a polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

y values:      -999           -140          -7          0           1         116          945

1st difference        859           133          7           1          115         829

2nd difference               -726        -126        -6        114         714

3rd difference                           600      120      120       600

4th difference                                  -480      0         480

5th difference                                           480     480

The degree of a polynomial is the number of difference where it is constant.

The degree of the polynomial function is 5.

The constant is the 5th difference which is 480.

To learn more about polynomial click on the below link:

https://brainly.com/question/7807270

#SPJ1

Now you will write an informative paragraph that will help Frankie to understand his financial options and formulate best practices for spending and saving.

Answers

Answer:

Strategies that Frankie should consider:

1.) What he needs vs what he wants (does Frankie need new shoes?)

2.) Opportunity cost (savings Frankie would have to give up if he buys new shoes)

3.) Short-term and long-term goals (Does Frankie needs shoes now, or can he wait?)

Frankie should think about a number of options before purchasing a new pair of shoes. He should first consider whether he actually needs or wants these shoes. He should then think about opportunity cost. How else could he have used that money if he had not purchased the shoes? Could he have utilized his resources more effectively? He must also think about the issue of setting goals. He needs to decide if this is a task for the present or the future.

Also I dont understand how this is math

Fractional index
Without using mathematical table simplify the following
(16/81)^-3/4

Answers

Answer:

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

using the rules of  exponents/ radicals

• [tex](\frac{a}{b}) ^{-m}[/tex] = [tex](\frac{b}{a}) ^{m}[/tex]

• [tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a}) ^{n}[/tex]

then

[tex](\frac{16}{81}) ^{-\frac{3}{4} }[/tex]

= [tex](\frac{81}{16}) ^{\frac{3}{4} }[/tex]

= [tex]\frac{(\sqrt[4]{81})^3 }{(\sqrt[4]{16})^3 }[/tex]

= [tex]\frac{3^3}{2^3}[/tex]

= [tex]\frac{27}{8}[/tex]

Rounded to the nearest inch what is the circumference of a circle with a radius of 15 inches

Answers

Answer:

95.25 or 95

Step-by-step explanation:

[tex]C=2\pi r[/tex]

C = 2 x [tex]\pi[/tex] x 15 = 94.24778in = 94.25 or 95


Hope I helped you my dear friend.

Identify the quotient and the remainder

(24x^3 - 14x^2 + 20x +6)÷(4x^2 - 3x +5)

Answers

The quotient is (6x + 1) and the remainder is (-7x + 1).

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given A cubic polynomial 24x³ - 14x² + 20x + 6 divided by 4x² - 3x + 5.

So, (24x³ - 14x² + 20x + 6)/(4x² - 3x + 5).

= (4x² - 3x + 5)(6x + 1) + (-7x + 1)/(4x² - 3x + 5) in rhe form N = DQ + R.

The same applies to the division of polynomials.

Learn more about polynomials here : brainly.com/question/2833285

#SPJ1

The sum of any three different even numbers is odd.

Answers

Answer:
The sum of three odd numbers is odd same thing goes for three even numbers which would be even but A even number divided by two would leave a remainder of zero

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?​

tysm ;-;​

Answers

The kind of sequence that you will obtain when you list the number of tickets sold over time is given as follows:

A geometric sequence.

How to classify the sequence?

A sequence can be classified as either arithmetic or geometric, as follows:

Arithmetic sequence: the difference between consecutive terms is constant.Geometric sequence: the ratio between consecutive terms is constant.

If none of these statements is true, then the function is neither arithmetic or geometric.

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before, which means that there is a constant ratio of 7 between the amounts of tickets sold each year, and thus this sequence is a geometric sequence.

More can be learned about geometric sequences at https://brainly.com/question/24643676

#SPJ1

2. A number m is less than -3 or greater than or equal to 1.

Answers

The absolute value of m is equal to the positive distance between m and 0.

What is value?

Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.

The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.

To know more about value click-
https://brainly.com/question/21491497
#SPJ1

The absolute value of m is equal to the positive distance between m and 0.

What is value?

Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.

The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.

To know more about value click-

https://brainly.com/question/30145972

#SPJ1

the set {...,-2,-1,0,1,2...} is called what?

Answers

Answer: Set of integers

Integers are positive and negative whole numbers, with 0 included.

Answer: Set of Integers

Step-by-step explanation:

{...,-2,-1,0,1,2...}

since we can see that here is a zero as well as positive and negative numbers, therefore, we call this set, a set of integers.

hope that helps...

when a fraction has a small numerator and a bigger denominator what you notice about the percent

Answers

when a fraction has a small numerator and a bigger denominator, the percent would be a proper fraction.

What is percent?

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100.

As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The symbol “%” represents it.

Therefore, When a fraction has a small numerator and a large denominator, it is a proper fraction.

Learn more about the percent, refer to:

https://brainly.com/question/28840349

#SPJ1

Which property of equality illustrates the statement "If AC = 14, then BD + AC = BD + 14?"
A. Transitive Property of Equality
B. Symmetric Property of Equality
C. Division Property of Equality
D. Substitution Property of Equality​

Answers

'Substitution Property of Equality'  illustrates the statement "If AC = 14, then BD + AC = BD + 14" from the question.

What is property of equality?

The equality characteristics define the relationship between two equal quantities. If a mathematical operation is applied to one side of an equation, it must also be applied to the opposing side to keep the equation balanced.

The Substitution Property of Equality states that if we know that two expressions are equal, we can substitute one of them for the other in any equation.

In this statement, it is stated that "If AC = 14, then BD + AC = BD + 14." Here we substitute 14 for AC in BD + AC = BD + 14. Which means that if we know that AC = 14, we can substitute 14 for AC in any equation, and the equation will still be true.

Therefore, given statement illustrates the Substitution Property of Equality.

To know more about Equality visit,

brainly.com/question/28293087

#SPJ1

with a 5% sale discount the price of an item is $38 what was the original price​

Answers

Answer:

[tex]38 \div5 \\ [/tex]

the original price is $40

A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. billy incorrectly says that the speed of the car is 1/68 mile per hour. What is the speed of the​ car? What error might have​ billy made?

Answers

The car travels at the speed of 68 miles per hour.

Billy made error on substitution process.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

The graph shows a proportional relationship between the distance traveled in miles and time in hours.

That means,

distance traveled in miles/ time in hours = k,

where k is a proportional constant.

Here, k is the speed.

The incorrect speed is,

1/68 miles per hour.

k = 1/68.

From the graph,

distance = 272 miles

And the corresponding time is 4 hours.

So, the speed,

= distance / time

The speed = 272 / 4

The speed = 68 miles per hour.

Billy made the error of not substituting the right values to the formula.

Therefore, the speed of the car is 68 miles per hour.

To learn more about the proportional relationship;

brainly.com/question/28777033

#SPJ1

The complete question is given in the attached image.

Evaluate fraction with negative 3 raised to the seventh power times negative 3 squared in the numerator and negative 3 raised to the fifth power in the denominator.

−81
−27
27
81

Answers

Answer:

Last option, 81.

Step-by-step explanation:

Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]

[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]

Shaikha types at a rate of 34 words per minute. How many words does she type in 2 minutes?

Answers

Answer:

68 words

Step-by-step explanation:

If 34 words are typed in a minute what about two minutes hence take 34×2

Answer:

68

Step-by-step explanation:

What is a rate?

A rate can be a quantity, or frequency, measured against a different quantity or amount.

If we know that Shaikha can type at a rate of 34 words per minute, and we need to figure out how many words she can type in 2 minutes, we can use an equation that looks like this:

Let m = minutes, w = words per minute and t = total words

m × w = t

Simply just insert your numbers into the equation.

2 × 34 = 68

Therefore, the number of words, or rate, that Shaikha types in 2 minutes is 68.

Frank does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 6 hours. He spends at most 12
hours on weight training. He spends at most 3 hours doing cardiovascular work. Letx denote the time (in hours) that Frank spends doing cardiovascular work.
Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answers

The expression can be written as x ≤ 3 + y ≤ 12 ≥ 6. which is an inequality.

What is inequality?

A mathematical operator that expresses the inequal comparison between different numbers or different variables and numbers. There are various types of inequalities such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤

How to express the inequality as per given statement?

Frank participates in exercise program at least 6 hours in each week.

He spends at most 12 hours on weight training

y denotes the time in hours that he spends on weight training.

Frank spends at most 3 hours doing cardiovascular works

x denotes the time in hours that he spends doing cardiovascular works

The expression that can represent the above statement.

can be written as

x ≤ 3 and y≤ 12

x ≤ 3 + y ≤ 12 ≥ 6

To know more about inequality visit:

https://brainly.com/question/28484221

#SPJ1

Please I need help also please explain your answer and show the work

Answers

1. The degree form of 4π/9 is approximately 228.6°.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°.

3. The terminal side of 215° lies in the second quadrant.

4. The radius of the circle is approximately 15.7.

1. The degree form of 4π/9 is approximately 228.6°. To express an angle in degrees, we multiply its radian measure by 180°/π.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°. To find a coterminal angle, we can add or subtract 360° as many times as necessary to bring the angle into the desired range.

3.

In the standard position, an angle is measured counterclockwise from the positive x-axis. The positive x-axis corresponds to the 0° angle, the positive y-axis corresponds to the 90° angle, the negative x-axis corresponds to the 180° angle, and the negative y-axis corresponds to the 270° angle. Angles in the first quadrant are between 0° and 90°, angles in the second quadrant are between 90° and 180°, angles in the third quadrant are between 180° and 270°, and angles in the fourth quadrant are between 270° and 360°.

So, the terminal side of 215° lies in the second quadrant.

4.

We can set up the equation l = Cθ/2π and solve for r.

Substituting the given values, we have 56π = (2πr)(120°/180°), which simplifies to r = 56π/(2π) = 28.

Dividing this value by 2, we get the radius of the circle as approximately 15.7.

Learn more about the quadrant of the graph here:

brainly.com/question/7196312

#SPJ1

Other Questions
what is the product of 69 and 5.6 x 10^5 expressed in scientific notation the safety air bag in automobiles are inflated by nitrogen gas by the rapid decomposition of sodium azide: Which of the following is a primary benign tumor that arises from the protective coverings of the brain Why was Elgin given permission to take the marbles? In addition to advising the president, the heads of the 15 departments do what else? Instructions: Write definitions to the following words found in "A Genetics of Justice". Try to keep it as simple as possible, and write the simplest definition you can paraphrase. You may use the internet, but please put the definition in your own words.1. Genetics:2. Dictatorship:3. Acquiesce:4. Revered5.Megalomania What will be the mirror image of 3 4 in y-axis? The solution process is shown for an equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop-down menu. 2 ( 3 y + 4 ) 3 ( y 2 ) = 2 y original equation 6 y + 8 3 y + 6 = 2 y 3 y + 14 = 2 y combining like terms 14 = - y - 14 = y y = - 14 U.S. National For1. What is the role of the Forest Service? What controversy surrounds its practices? HELP!4(2x-3)=6x+2I thought when I simplify it 22x=14 but its wrong Do you remember all 4 ways to solve a quadratic equation? which postulate proves these two triangles are congruent 3. A student tosses a 0. 500 kilogram rock into a pond at a rate of 1. 00 meter per second. If the student's mass is 45. 0 kilograms, what is the momentum of the rock by the student? Are 3x-2 and 3x2 reciprocals? Explain. What is this expression in simplified form?(22) (52)O A. 1011O B.1211O c.20v/11OD. 24/11 26 100X= help anyone ? A 3. 75 percent coupon bond is currently quoted at 88. 3 and has a face value of $1,000. What is the amount of each semi-annual coupon payment if you own four of these bonds Agatha is a federal attorney whose latest task is spearheading a suit against a bank accused of creating multiple fraudulent accounts in clients names. What Division does she work most with when she needs to find specialists in forensic accounting who can help her interpret the accounting records provided by the bank in question?A Division of Marketing Practices B. Division of Consumer Response and Operations C. Division of Financial Practices D. Division of Litigation Technology and Analysis during the early 1980s, ____ word processors competed for market share. When atoms of aluminum-27 are bombarded with alpha particles, a neutron and an element are produced. The particular isotope formed is