The difference between the areas is 481 square miles.
Given information:
Alaska is 873 sq miles in size, as well as Rhode Island, is 392 sq miles in total.
To determine the difference between the areas in square miles, the following calculation must be performed: subtract Alaska from Rhode Island square miles then we get:
Let X be the total difference:
873 - 392 = X
481 = X
Therefore, the difference in the areas in square miles is 481.
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What is a real solution set?
A solution set is the set of all variables or numbers that makes the equation true.
What is a real number solution set?If solving a linear equation leads to a true statement is equal to 0 = 0 the equation is an identity. Its solution set is all real numbers.A solution set is the set of values that satisfy a given set of equations or inequalities. The feasible region of a constrained optimization problem is the solution set of the constraints.
How many real solutions are possible?There are three possibilities for the number of real solutions of a quadratic equation, and those are that a quadratic equation can have no real solutions, exactly one real solution, or exactly two real solutions.Zero is considered to be both a real and an imaginary number.
Now we can find solution set by solving the equation.
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An amusement park has a collection of scale models, with ratio 1:20, of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its replica at this park, rounded to the nearest whole number
The height in feet of its replica at this park, rounded to the nearest whole number is 14 feet.
What connection exists between height and separation?Distance is the measurement of an object's horizontal distance from a specific location, whereas height is the measurement of an object's height in the vertical direction.
Since the heights of real buildings are 1:10 times higher than those of model buildings, this is evident. We also know that the actual height of the US Capitol is 289 feet, so we divide that figure by 20 to determine the model's height. That amounts to 14.45, rounding to 14. Thus, the duplicate is 14 feet, rounded up to the nearest whole number.
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Bilquis finds some nickels and quarters in her piggy bank. How much money (in
cents) does she have if she has 7 nickels and 5 quarters? How much money
does she have if she has n nickels and q quarters?
Answer:Bilquis finds some nickels and quarters in her piggy bank. How much money (in
cents) does she have if she has 7 nickels and 5 quarters? How much money
does she have if she has n nickels and q quarters?
Step-by-step explanation:
Answer: 157 cents ($1.57)
Step-by-step explanation: Nickels are worth 5 cents each, so 5 cents times 7 nickels equals a total of 35 cents. After that, we have 5 quarters which cost 25 cents each, so 25 cents times 5 quarters equals a total of 125 cents. Combine these two products, and you get 157 cents. Or, if you want it in dollars, you can divide 157 by 100 cents (there are 100 cents in a dollar) and end up with $1,57.
Simplifying algebraic expression
Answer:
-33
Step-by-step explanation:
Plug 9 in for c, then simplify the resulting expression.
5c - 9c + 3
5(9) - 9(9) + 3
↓ execute multiplication
45 - 81 + 3
↓ simplify by adding 81 and 3
45 - 84
↓ execute subtraction
-33
Answer:
[tex] \sf \: - 33 \: (if \: c = 9)[/tex]
Step-by-step explanation:
Given expression,
→ 5c - 9c + 3
Now we have to use,
→ c = 9
Simplifying the given expression,
→ 5c - 9c + 3
→ 5(9) - 9(9) + 3
→ 45 - 81 + 3
→ -36 + 3
→ -33 => (answer)
Hence, required answer is -33.
URGENT! HOMEWORK DUE TOMORROW MORNING!
Miguel has three times as many dimes as he has quarters. He has as many nickels as he has dimes and quarters combined. The total amount of money he has is $3.00. How many of each coin does Miguel have?
After solving the algebraic equation, Miguel has 4 quarters, 12 dimes and 16 nickels.
What is algebra?
One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.
The number of quarters is taken to be x, then the number of dimes will be 3x, and the number of nickels will be 3x + x = 4x
$3.00 when converted to cents is 300 cents.
The value of nickels is 5 x 4x=20x.
The value of dimes is 10 x 3x=30x.
The value of quarters is 25x.
As the total value of money Miguel has is 300 cents, then the algebraic equation will be -
20x + 30x + 25x = 300
Solve to get the value of x -
75x = 300
x = 4
Therefore, the amount of quarters is x = 4 quarters.
The amount of dimes is x = 3x = 3 x 4 = 12 dimes.
The amount of nickels is 4x = 4 x 4 = 16 nickels.
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35 PTS. Don’t explain. y=?
Answer:
180-25-60=95
Step-by-step explanation:
There are 260 eighth grade students at South Whitenardh middle school. All right grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes. Write an equation to represent the total number of eight grade students
178 students taking a music class and 82 students taking an art class
There was no clear question, but I'm assuming you want to know how many students are enrolled in music and painting classes.
Let x= the number of children enrolled in art classes.
number of children enrolled in music classes: 2x + 14
The overall number of children will be 260, including all of these children.
x+2x+14 = 260
3x=246 x=82 pupils attend an art lesson.
To find people taking music classes, enter x to 2x+14.
2(82)+14 = 178
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The complete question would be;
There are 260 eighth-grade students at South Whitemarsh Middle School. All eighth-grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes.
13. Solve:* 3b⁴ x 6b² =
Answer:
18b^6
Step-by-step explanation:
3b⁴ x 6b²
please give a step by step explanation please
The radius of a sphere whose surface area is 324*pi cm² is:
R = 9 cm.
What is the radius of the sphere in the image?We know that the surface of a sphere of radius R is given by:
S = 4*pi*R^2
Where pi = 3.14
Here we know that a sphere has a surface of 324*pi cm², then we can write the equation:
S = 324*pi cm² = 4*pi*R^2
We can divide both sides by pi, so we get:
324 cm^2 = 4*R^2
Now we can solve that equation for R, we will get:
R^2= (324 cm^2)/4 = 81cm^2
R = √(81 cm^2)
R = 9cm
The radius of the sphere is 9cm.
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A=?cm
What is the correct answer?
Answer:
A = 80 cm²
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 4 and h = 2 , then
A = 4 × 2 = 8 cm²
there are a total of 10 tiles required ( 5 black and 5 white ) , then total area is
A = 10 × 8 cm² = 80 cm²
Evaluate the expression 2(b+4), when b=5
The evaluation of the expression 2(b + 4) when b = 4 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2(b + 4)
Values: b = 5
Substitute the known values in the above equation, so, we have the following representation
2(b + 4) = 2 * (5 + 4)
Evaluate the products
This gives
2(b + 4) = 10 + 8
Evaluate the like terms in the equation
So, we have the following representation
2(b + 4) = 18
Using the above as a guide, we have the following:
The solution is 18
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Grant reads as part of his homework each week. - he must read for at least 4 hours each week as part of his homework. - This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. PLEASE HELP ME
A statement which best describes the solution set of the given inequality 5n + 1.5 ≥ 4 is: C. all rational number values of n that are at least 0.5.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.
Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;
5n + 1.5 ≥ 4
Subtracting 1.5 from both sides of the algebraic inequality, we have:
5n + 1.5 - 1.5 ≥ 4 - 1.5
5n ≥ 2.5
Dividing both sides of the algebraic inequality y 5, we have:
n ≥ 2.5/5
n ≥ 0.5
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Complete Question:
Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers, n, of hours he could read on each of the 5 weekdays this week. The graph is shown.
Which describes the solution set of the inequality?
A. all whole number values of n that are at least 1
B. all whole number values of n that are greater than 1
C. all rational number values of n that are at least 0.5
D. all rational number values of n that are greater than 0.5
What does FG mean in functions?
FG stands for Function Generator, which is a device that produces electrical signals with a function of frequencies and amplitudes. It is commonly used in scientific laboratories to generate signals for testing and research purposes.
A function generator is an electrical device used to generate electrical signals with a range of frequencies and amplitudes. It is commonly used in scientific laboratories to generate test signals for testing and research purposes. Function generators typically consist of an oscillator, amplifier, and waveform selector. The oscillator generates a signal of a given frequency and amplitude, while the amplifier adjusts the output voltage. The waveform selector allows the user to choose from a variety of waveforms, such as sine, square, triangle, and sawtooth. Function generators can be used to simulate various types of electrical signals, such as AC and DC signals, as well as a variety of noise signals. They are also used to test various types of electronic components, such as transistors and capacitors, and to conduct research in fields such as telecommunications and signal processing. The acronym FG stands for Function Generator.
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find the area of the rectangle whose length is 16cm and breath is 8am
Answer:128 cm^2
Step-by-step explanation:
1 Which of the following trinomials can be factored?
A x² + 3x + 3
B x² + 3x - 3
C x² + 3x + 2
D x²-3x - 2
X²-3There are a number of ways to factor equations like x2 -3x+2=3x+2=0. If all the terms are positive: (x + ) (x + )=0, If the center term is negative: ( (-)( x -)=0 • If the last or if both terms are negative: ( x +)(x-)=0
What are the trinomial rules?The following are the rulesIf, ll trinomial terms are positive, then all binomial terms will be positive.If the trinomial’s last term is negative but the middle and first terms are positive, one term of the binomial will be negative and the other will be positive.
If we can find two numbers whose product is A * C and whose sum is B, we may factor a trinomial of the type Ax2 + Bx + C. Exemplification 1. Determine if 4x2 + 8x + 3 can be factored. Solution. We want for two numbers whose product is (4)(3) = 12 and whose total is 8. (the coefficient of x).
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A boat is traveling due east for 130 miles. The boat travels another 72 miles at a bearing N38E. Determine the distance, direction angle, and bearing of the boat from its original location.
The distance and bearing of the boat from its original location are about 183.33 miles, N71.97°E
What is the bearing of a location?A bearing is a description of the amount by which a north or south headed line is deflected in the eastern or western direction.
The initial direction in which the boat is traveling = Due east
The distance the boat travels in the direction due east = 130 miles
The distance the boat travels in the direction N38°E = 72 miles
Therefore;
The distance the boat has traveled from its original location is found using the law of cosines as follows;
The included angle between the 130 miles distance the boat travels east and the 72 miles distance the boat travels N38°E = 90° + 38° = 128°
Let d represent the distance of the boat from its original location, we get;
d² = 130² + 72² - 2 × 130 × 72 × cos(128°) ≈ 33609.1828181
d ≈ √(33609.1828181) ≈ 183.33
The distance of the boat from its original location is about 183.33 miles
Let the angle formed by the direction of the boat to its destination and the path the boat travels east, according to the law of sines, we get;
183.33/(sin(128°) ≈ 72/(sin(B))
(sin(B)) ≈ 72 × (sin(128°))/183.33
m∠B ≈ arcsin(72 × (sin(128°))/183.33) ≈ 18.03°
The bearing of the boat from its original location is; N(90° - 18.03°)E = N71.97°E
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What is the percent change from 15.5 to 70?
Answer:
First, you need to calculate your grade in percentages. The total answers count 70 - it's 100%, so we to get a 1% value, divide 70 by 100 to get 0.70. Next, calculate the percentage of 15: divide 15 by 1% value (0.70), and you get 21.43% - it's your percentage grade.
Step-by-step explanation:
What is the solution of the pair of equations y 0 and y =- 3?
The solution of the pair of equations y = 0 and y = -3 is y = -3/2.
The given pair of equations is:
y = 0
y = -3
We can solve this pair of equations using elimination. To do this, we first add the two equations together, which gives us:
y + y = 0 + (-3)
2y = -3
We then divide both sides by 2 to get the solution for y:
2y/2 = -3/2
y = -3/2
Therefore, the solution of the pair of equations y = 0 and y = -3 is y = -3/2.
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It is known that the percent of red M&Ms is 35% in each package. Don went to the vending machine and bought a package of M&Ms. In his package he counted 52 MaMs and 18 were red. If 35% is the true parameter then what is the probability that a package of getting no more than 18 out of 52 M&Ms red?
35% in each package is red.
that means nothing else than for every M&M you pick, the probability is 35% (or 0.35) that is is red.
it also means the probability to get anything but red is 1 - 0.35 = 0.65 (65%).
if I understand you correctly, the question is for the probability that there are no more than 18 red M&Ms in a package of 52.
in other words, the probabilty that there are exactly 18, or exactly 17, or exactly 16 ... or exactly 1, or no red M&Ms.
the probability to get exactly 18 red out of 52 is
0.35¹⁸ × 0.65³⁴
for one of the combinations.
and we have C(52, 18) possible combinations :
52! / (18! × (52-18)!) = 52! / (18! × 34!)
18 red = 0.35¹⁸ × 0.65³⁴ × C(52, 18) = 0.115457378...
17 red = 0.35¹⁷ × 0.65³⁵ × C(52, 17) = 0.110273578...
16 red = 0.35¹⁶ × 0.65³⁶ × C(52, 16) = 0.096708177...
15 red = 0.35¹⁵ × 0.65³⁷ × C(52, 15) = 0.077665254...
14 red = 0.35¹⁴ × 0.65³⁸ × C(52, 14) = 0.056935055...
13 red = 0.35¹³ × 0.65³⁹ × C(52, 13) = 0.037956703...
12 red = 0.35¹² × 0.65⁴⁰ × C(52, 12) = 0.022909582...
11 red = 0.35¹¹ × 0.65⁴¹ × C(52, 11) = 0.012452595...
10 red = 0.35¹⁰ × 0.65⁴² × C(52, 10) = 0.006056874...
9 red = 0.35⁹ × 0.65⁴³ × C(52, 9) = 0.002615926...
8 red = 0.35⁸ × 0.65⁴⁴ × C(52, 8) = 0.000993712...
7 red = 0.35⁷ × 0.65⁴⁵ × C(52, 7) = 0.000328083..
6 red = 0.35⁶ × 0.65⁴⁶ × C(52, 6) = 9.271902896e-005
5 red = 0.35⁵ × 0.65⁴⁷ × C(52, 5) = 2.198201902e-005
4 red = 0.35⁴ × 0.65⁴⁸ × C(52, 4) = 4.252473918e-006
3 red = 0.35³ × 0.65⁴⁹ × C(52, 3) = 6.446899235e-007
2 red = 0.35² × 0.65⁵⁰ × C(52, 2) = 7.183687719e-008
1 red = 0.35 × 0.65⁵¹ × C (52, 1) = 5.231817386e-009
0 red = 0.35⁰ × 0.65⁵² × C(52, 0) =
= 0.65⁵² = 1.868506209e-010
the probability to have no more than 18 reds is the sum of all that :
0.540472593...
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
Diana's savings will be 280 dollars after four weeks.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
300 - 5x
Where x represents the number of the week.
We have to determine Diana's savings after four weeks
As per the question, we have
⇒ 300 - 5x
Substitute the value of x = 4 in the above expression
⇒ 300 - 5(4)
⇒ 300 - 20
⇒ 280
This means her savings will be 280 dollars after four weeks.
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The question seems to be incomplete the correct question would be:
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
What is her savings after four weeks?
someone help me with both of these geometry problems
Step-by-step explanation:
Regular decagons have two additional identifying properties: 10 exterior angles of 36° , summing to 360° 10 interior angles of 144° , summing to 1,440°
Each interior angle of a regular dodecagon is equal to 150°. Each exterior angle of a regular dodecagon is equal to 30°. 30×12= 360
How many 2/3s are in 2?
On solving the provided question we can say that - in fractions 2/3 and 2 we can do 2/3X2 = 4/3
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here,
in the given fractions 2/3 and 2/1,
we can do that -
2/3 X 2/1 = 4/3
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hello!!!! please help me with this- i will you give brainlist :]
The completed blanks in the statement are underlined as follows
Standard form: x⁶ + 53x⁵ + 2x⁴ - 2The degree is 6 . The leading coefficient is 1This is called a polynomial because it has 4 termsHow to complete the blanks in the statementFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
2x⁴ + 53x⁵ - 2 + x⁶
The standard form
To do this, we rearrange the expression from the highest power to the least
So, we have the following representation
x⁶ + 53x⁵ + 2x⁴ - 2
The degree
This is the highest power in the expression
So, the degree is 6
The leading coefficient
This is the coefficient of the term that has highest power of x
So, the leading coefficient is 1
The name of the expression
The expression has 4 terms
So, the name is a polynomial
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What are the domain and range of the logarithmic function?
The domain and range of the logarithmic function is given by:
Domain= [ 0 , ∞ ) and Range = { y ∈ R }.
As given in the question,
Let y = logₐ x be the given logarithmic function.
Logarithmic function is defined for all the positive values.
Domain of the logarithmic function is given by x∈ R , x > 0.
Range of the logarithmic function is inverse of the domain of the exponential function.
x = e^y
Here y is set of all the real numbers.
Range of logarithmic function is set of all the real numbers.
Therefore, domain of the logarithmic function is set of all real number greater than zero and range of the logarithmic function is the set of all the real numbers.
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What is the standard from of the equation for the line of y=1/4x+4. (Please help meeee)
Let's say you accepted a part-time job working in a bakery. The baker sells a bag of rolls containing 13 rolls (or a
baker's dozen). The baker made 158 rolls before leaving for the evening. He asks you to make sure each roll is
packaged before going home. What is the greatest number of bags you will need, and should you try to sell any
extra rolls so as not to have leftovers?
Answer:
52 bags and 2 extra
Step-by-step explanation:
Simply divide the no. of rolls by no. of rolls per bag
Answer:
12 bags
Step-by-step explanation:
158 rolls ÷ 13 rolls/bag = 12.15 bags
You will have 12 full bags plus about 2 extra rolls left over, which you can try to sell separately or as a "pack" of 2. Or, you can sell one overstuffed bag with 2 extra rolls in it (for a total of 15 rolls) for a little extra on the price.
There is a 10% chance of rain tomorrow a spinner with 10 sections is spun to simulate the probability of rain where spinning a 1 indicates rain if the results are 3,6,1,8 and 3, then what is the difference in the experimental probability from the simulation and the prediction
The experimental probability is 30% higher than the predicted probability.
What is meant by experimental probability?
Experimental Probability: what actually occurs when the experiment is carried out. For example, the probability of getting a head if you flip a coin is ½, since only 2 things could happen (a head or a tail) and each one has an equal chance of occurring.
The spinner has 10 sections and a 10% chance of landing on the section representing rain. Therefore, the probability of rain predicted by the spinner is 0.1 or 10%.
From the simulation, the results are 3, 6, 1, 8, and 3. Out of these 5 spins, 2 of them landed on the section representing rain (1, 3). Therefore, the experimental probability of rain from the simulation is 2/5 or 40%.
The difference between the experimental probability from the simulation and the prediction is the difference between the two percentages, which is:
(experimental probability) - (predicted probability) = 40% - 10% = 30%
Hence, the experimental probability is 30% higher than the predicted probability.
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How do you find the difference between polynomials?
Some polynomials have specific names indicated by their prefix like monomial is a polynomial with exactly one term (“mono”—means one) binomial is a polynomial with exactly two terms (“bi”—means two) trinomial is a polynomial with exactly three terms (“tri”—means three).
What is polynomial?Some polynomials have unique names that are denoted by their prefix, such as monomial, which is a polynomial with precisely one term ("mono"—means one). A binomial polynomial has precisely two terms ("bi" indicates two). A trinomial is a polynomial with three terms ("tri"—three). A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.
Here,
Some polynomials have unique names that are denoted by their prefix, such as monomial, which is a polynomial with precisely one term ("mono"—means one). A binomial polynomial has precisely two terms ("bi" indicates two). A trinomial is a polynomial with three terms ("tri"—three).
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NP, PM, and MN are all midsegments and bisect each side.
NP = 12
MP=2x
RQ = 5x-1
SQ=6x
Solve for x.
Label each midsegment with its correct measure:
NP, PM, and MN are all midsegments and bisect each side.
value of x = 5 unit
NP = 12
MP=2x
RQ = 5x-1
SQ=6x
Using Midsegments of a Triangle
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle
Triangle Midsegment Theorem
Using Midsegments of a Triangle
Theorem 5-1 Triangle Midsegment Theorem
The segment connecting the midpoints of two sides of a triangle is parallel to the 3rd side and is half as long.
Triangle Midsegment Theorem A segment whose endpoints are the
midpoints of two sides of the triangle
Midsegment
Base
Midsegment = ½ of Base
M = ½ b
NP =1/2(RQ)
12 =1/2(5x-1)
12* 2 = 5x-1
24 =5x-1
24+1 =5x
25 =5x
x=25/5
x = 5 unit
NP, PM, and MN are all midsegments and bisect each side.
value of x = 5 unit
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what is the value -2(4*2+(1/2)2)
Answer: -2(4*2+(1/2)2) = -18
Step-by-step explanation: In order to solve this problem, we just have to use the order of operations. This can be shortened to PEMDAS.
The first step is PARENTHESIS. There are two parenthesis within this problem, so we start from the smaller ones and then go to the bigger ones. So, 1/2. That's equal to 0.5, so now we have -2(4*2+(0.5)2).
There are no EXPONENTS within this problem, so we skip the E part of the order.
Next is MULTIPLICATION and DIVISION. There are two instances of multiplication within the parenthesis. 4*2 is equal to 8. Because 2 is right next to the parenthesis, its contents are being multiplied by it. So, 0.5*2 is equal to 1.
Next is ADDITION and SUBTRACTION. There's no subtraction, but we can add 1 and 8 to get 9. This was the final process within the parenthesis, so now we can focus on what's happening outside.
For the same reasons mentioned before, we know that 9 is being multiplied by -2. 9*-2 is equal to -18. This is because any positive number multiplied by a negative number will result in a negative product.
Thus, our final answer is -18.