The area of triangle NOP is given as follows:
1416 cm².
How to obtain the area of the triangle?The area of a triangle, given two side lengths and the angle between them, is given by the multiplication of the side lengths and the sine of the angle between them.
The parameters for this problem are given as follows:
Side lengths of 92 cm and 23 cm.Angle between them of 138º.Hence the area of the triangle is given as follows:
A = 92 x 23 x sine of 138 degrees
A = 1416 cm².
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the amount of concrete needed for the support posts of a deck y varies directly with the number of posts x. five posts require 6 1/4 bags of concrete. write a direct variation equation in the form y
The direct variation equation that relate the amount of concrete needed and the number of posts is y = 5/4x
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
To solve this problem, we have to state the equation using the information of the problem:
Information about the problem:
Number of post = 5Number of bags = 6 1/4Calculating the number of concrete according to the number of posts we have:
6 1/4
= [(4*6)+1] / 4
= (24 + 1) / 4
= 25/4
Number of concrete per post = 25/4 bags / 5 post
Number of concrete per post = 5/4 bags / post
Writing the equation according to the information gave, we have:
y = 5/4x
Lets called (y) the amount of concrete needed and (x) the number of posts
The "y" variable is the dependent variable, it will change according to the number of posts x (x).
The "x" variable is the independent variable, because it doesn't depend on any other value, just the the number of posts.
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Find the number of possible outcomes in the sample space.
A basketball player attempts two free
throws. Each attempt results in a score or
a miss.
A. 7
B. 5
C. 4
D. 8
The number of possible outcome is 4 ( option C)
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability = Sample space / total possible outcome
In 2 free throws of either missing or scoring.
Represent missing by M and scoring by S
The outcome of the two throws can be:
MS , SM, SS, MM
Therefore the total possible in outcome is 4
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an angle is 60 degrees more than its complement. what are the measures of the two angles? list your angles from smallest to largest.
The measures of the two angles is 40° and 50° list your angles from smallest to largest is 40° to 50°.
When two straight lines or rays meet at the same place, an angle is formed. The vertex of an angle is the location at which all points meet. Angle is derived from the Latin word angulus, which means "corner." In the Early Middle Ages, England was home to a particular cultural group known as the Anglo-Saxons. They were the offspring of settlers who came to Britain from continental Europe in the fifth century. However, the ethnogenesis of the Anglo-Saxons occurred in Britain; they did not merely accept a foreign identity.
Let the angle be X
Let the complimentary angle be Y
X + 60 = 2Y … equation 1
Y + X= 90
(complimentary angles always equal to 90°)
Y = 90 - X …. equation 2
Substitute equation 2 into equation 1
[tex]X + 60 = 2 x (90 - X)\\X + 60 = 180 - 2X\\X + 2X = 180 - 60\\3X = 120\\X = 40[/tex] … equation 3
Therefore, the angle (X) equals 40°
To calculate Y, substitute equation 3 into equation 2.
[tex]Y = 90 - 40\\Y = 50°[/tex]
Therefore the complimentary angle is 50°
To check if the answer is correct
The angle (40) plus 60 is 100
The complementary angle (50) divided by two equals 100.
list your angles from smallest to largest is 40° to 50°.
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Can someone PLEASE help me with this?
The factorization of 3x² - 6x - 24 will be (x + 8)(x - 10).
How to express the valueThe equation is a polynomial with leading coefficient 3, the equations os in standard form, where the leading coefficient is positive and the terms are ordered from highest degree to lowest degree.
To solve thw equation goes thus:
3x² - 6x - 24
Divide through by 3
x² - 2x - 80
x² - 10x + 8x - 80
x(x - 10) + 8(x - 10)
(x + 8)(x - 10)
The value will be (x + 8)(x - 10).
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Without graphing, answer the following questions for each of the functions below: F(x) = x^2 + 8x^3 + k F (x) = x^6 + kx^4 - 9x^2 - 27 f (x) = -1/2x^7 - 441x^3 + k What are the end behaviours of this type of function (what quadrant does it begin and end in?) What is the maximum and minimum number of x-What is the maximum and minimum number of turns for this type of function? State if thereintercepts for this type of function? are any restrictions on the domain and range on this type of function
F(x) = x^2 + 8x^3 + k
End behavior: As x approaches positive or negative infinity, F(x) approaches positive infinity.
Maximum/minimum: There is no global maximum or minimum without more information about k.
x-intercepts: There are no x-intercepts for this function.
Restrictions on domain and range: No restrictions specified.
What are the responses for other questions?F(x) = x^6 + kx^4 - 9x^2 - 27
End behavior: As x approaches positive or negative infinity, F(x) approaches positive infinity.
Maximum/minimum: There is no global maximum or minimum without more information about k.
x-intercepts: There are no x-intercepts for this function.
Restrictions on domain and range: No restrictions specified.
f(x) = -1/2x^7 - 441x^3 + k
End behavior: As x approaches positive or negative infinity, f(x) approaches negative infinity.
Maximum/minimum: There is no global maximum or minimum without more information about k.
x-intercepts: There are no x-intercepts for this function.
Restrictions on domain and range: No restrictions specified.
The number of turns and the maximum and minimum number of x-intercepts for this type of function can't be determined without a graph.
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fin the value of each variable in the parallelogram. k+4, 8, m, 11
k=
m=
The values of each variable in the parallelogram are given as follows:
k = 7.m = 8.How to obtain the values of each variable?For a parallelogram, the two sides that are divided by the intersection point of the diagonal have the same length, hence the relations are given as follows:
k + 4 = 11.m = 8.The second bullet point already gives the value of m, which is of m = 8.
For the first bullet point, we must solve it to obtain the value of variable k, as follows:
k + 4 = 11
k = 11 - 4
k = 7.
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if 55% of a number is 176 and 35% of the same number is 112, find 90% of that number.
Answer:
288
Step-by-step explanation:
1. 176 = 55% × N
2. 176 = [tex]\frac{55}{100}[/tex] × N
3. N= 176×[tex]\frac{100}{55}[/tex]
4. N=320
5. [tex]\frac{90}{100}[/tex] × 320
=288
Which of the following is a rational number?
√√12
√47
√22
√9
Answer:
√9
Step-by-step explanation:
First, it's important to know that a rational number is a number that can be expressed as a fraction. This means that all whole numbers are rational numbers. Knowing this, let's see if any of the radicals simplify into a fraction or whole number.
√12 = 3.464101615.....
NOT a rational number
√47 = 6.8556546.....
NOT a rational number
√22 = 4.69041576.....
NOT a rational number
√9 = 3
Rational number
So, √9 is a rational number.
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4x+10>54
simplify
thank you
Answer:
x<11
Step-by-step explanation:
4x>54-10
4x>44
x<11 [sign change]
Answer:
x > 11
Step-by-step explanation:
4x + 10 > 54
Step 1: Subtract 10 from both sides.
4x + 10 - 10 > 54 - 10
4x > 44
Step 2: Divide both sides by 4.
4x/4 > 44/4
x > 11
333b7jk,,,,,,,7h79p;'/'][
Answer:
Step-by-step explanation: nmbgbhj ,vmxhvgvkhchvc vhkyfdcxvgch cggcfglfflfvhghghjb
Sherina wrote and solved the equation.
x minus 56 = 230. x minus 56 minus 56 = 230 minus 56. x = 174.
What was Sherina’s error?
Sherina’s work is correct.
Sherina only needed to subtract 56 from 230.
Sherina made a subtraction error when subtracting 56 from 230.
Sherina should have added 56 to both sides of the equation.
Sherina should have added 56 to both sides of the equation.
How to solve an algebraic expression?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
Sherina wrote and solved the equation, x minus 56 = 230 and obtained x = 174:
Sherina’s error is that she should have added 56 to both sides of the equation.
To solve for x in the equation, you need to add 56 to both sides of the equation. That is:
x - 56 = 230
x -56 + 56 = 230 + 56
x = 230 + 56
x = 286
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Answer:
The answer is D (Sherina Should of have added 56 to both sides of the equation.)
Step-by-step explanation:
In this type of math, subtraction and addition are switched. I know that may be confusing.
Example:
x minus 42 - 88
You can do this: 42 + 88 = 130
Your answer = x
x = 130
Evaluate the function f(x)= -16³ +68 + 2, for 2ƒ(3).
The value of the function f(x) = -16x³ + 68x + 2 for 2f(x) is - 452.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -16x³ + 68x + 2
Now,
Multiply 2 on both sides.
2f(x) = -32x³ + 136x + 4
Substitute x = 3.
2f(3) = -32 x 3³ + 136 x 3 + 4
2f(3) = -32 x 27 + 136 x 3 + 4
2f(3) = -864 + 408 + 4
2f(3) = -452
Thus,
The value is -452.
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the time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. if it takes workers years to build a story building, how long will it take workers to build a story building?
If it takes 10 workers 2.5 years to build a 20 story building, it will take 2.5 sec 20 workers to build a 40 story building.
Given that a skyscraper's height and the number of workers needed to build it determine how long the project takes, We must make the time.
Allow the time t, height h, and number of workers to be ω.
Then, based on the relationship,
t = kh/ω
where k is constant.
The formula in the term of k is:
k = tω/h
Additionally, it takes 10 employees t0 2.5 years to construct a 20-story skyscraper.
Now putting the value
k = (2.5 × 10)/20
k = 25/20
k = 5/4
If a 40-story skyscraper requires 20 workers to construct, we have
t = kh/ω
t = (5/4) × (40/20)
t = 5/2
t = 2.5 sec
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The complete question is:
The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 20 workers to build a 40 story building?
Ted places $1500 in a ten-year certificate of deposit (CD) account at a local bank. The CD account earns interest, compounded annually, at the same rate for 10 years.
Let A(n) represent the amount, in dollars, in Ted's account after n years between n = 0 to n = 10.
Part A:
Write an explicit expression for the function A(n) if Ted's account has $1535.25 after 1 year
Answer:
A(n) = 1500 * (1 + 0.0367)^n
Step-by-step explanation:
Given that Ted's account has $1535.25 after 1 year, we can use that value to write an explicit expression for the function A(n).
The amount in the account after n years is given by the formula:
A(n) = A(0) * (1 + r)^n
where A(0) is the initial amount in the account and r is the interest rate.
Since A(1) = $1535.25 and A(0) = $1500, we can substitute these values into the formula:
1535.25 = 1500 * (1 + r)^1
Solving for r:
r = (1535.25/1500) - 1 = 0.0367
So, the interest rate is 3.67% and the explicit expression for the function A(n) is:
A(n) = 1500 * (1 + 0.0367)^n
does the confidence interval provide convincing evidence that the true mean volume is 12 ounces? explain your answer.
The confidence interval provides evidence that the true mean volume is likely to fall within a certain range, but it does not provide conclusive evidence that the true mean volume is equal to 12 ounces.
A confidence interval is a range of values that is likely to contain the true population mean with a certain level of confidence, usually 95%.
When it comes to the question of whether the confidence interval provides convincing evidence that the true mean volume is 12 ounces, the answer is no, it does not provide conclusive evidence.
The confidence interval provides a range of values that the true mean is likely to fall within, and just because the true mean is within the confidence interval, it does not mean that the true mean is exactly equal to 12 ounces.
Let's say the confidence interval for the mean volume is 11.5 to 12.5 ounces. This means that if we repeated our sample many times, 95% of those samples would have a mean that falls within this range.
However, it is still possible that the true mean volume is outside of this range, and the only way to know for sure is to collect more data or conduct a more comprehensive study.
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This is a test to see how reliable the source is. (AKA if the answer is correct and how long it takes)
7x+9-2x+8^2-41>2
x>-6 there u go
Step-by-step explanation:
what is negative 15 divided by negative 1/3?
Answer:45
Step-by-step explanation: Search math w ay on the internet for clarification and any further math questions :)
Answer: 45
Step-by-step explanation:
1. Convert any mixed numbers to fractions then you'll have: [tex]\frac{-15}{1}[/tex] ÷ [tex]\frac{-1}{3}[/tex]
2. Then you multiply the numbers across from each other. (both numerators and denominators)
So, it would then be [tex]\frac{-45}{1-}[/tex]
(remember, when multiplying or dividing negatives and positives, a negative to a positive (vice versa) will always come out to be a negative, and a positive to a positive or negative to a negative, it'll always be a positive)
3. Simplify [tex]\frac{-45}{-1}[/tex], this means you divide -45 into -1, remember from the bolded phrase, this means it'd be a positive 45
So your answer is POSITIVE 45
P.S. I'd recommend checking out the "Mixed Fractions Calculator" on Calculator Soup. I'll provide a link below if you need any other help with further questions in the future.
https://www.calculatorsoup.com/calculators/math/mixednumbers.php
Hope this helps.
find the missing angle measure
The measure of the missing angle in the hexagon is 92°.
What is a polygon?A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments are referred to as its edges or sides.
The figure has six sides so it is a hexagon and we know the sum of all the interior angles in a hexagon is 720°.
Therefore, 142° + 169° + 59° + 131° + 127° + x = 720°.
x + 628° = 720°.
x = 720° - 628°.
x = 92°.
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You buy 10 vegetarian pizzas and pay with $100. How much change do you receive?
A picture shows three vegetarian pizzas. The cost of the three vegetarian pizzas is 25 dollars and 50 cents.
You receive $
in change.
There are $15 received in change after buy 10 vegetarian pizzas.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
You buy 10 vegetarian pizzas and pay with $100.
Here, The cost of the three vegetarian pizzas is 25 dollars and 50 cents.
Hence, The cost of the three vegetarian pizzas = $25.5
Thus, The cost of the 10 vegetarian pizzas = $25.5 × 10 / 3
= $255/3
= $85
Since, You buy 10 vegetarian pizzas and pay with $100.
Hence, The change to receive = $100 - $85
= $15
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Jacqueline reads 25 pages every night. Which graph correctly displays y, the total number of pages that Jacqueline has read after x days?
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A horizontal line is at y = 25.
On a coordinate plane, an exponential curve graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis.
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (0, 25) and (13, 40).
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
D) On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Jacqueline reads 25 pages every night. Here y is the total number of pages that Jacqueline has read after x days.
Since she reads 25 pages every day and she starts with 0 pages.
Thus, the Total number of pages she reads and a number of days have a proportional relation.
she reads 25 pages a night Meaning that the total number of pages Jacqueline has read (Variable Y) = 25 pages a night (x)
therefore, The correct answer is) D. Because on the graph you can see that it increases by 25 each day which follows the equation Y=25x.
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how many gallons of a 16%-salt solution must be mixed with 4 gallons of a 25%-salt solution to obtain a 20%-salt solution?
The gallons of 16%salt solution required to obtained 20% of salt solution is equal to 5 gallons.
Let us consider 'x' be the salt solution of 16%
And 'y' be the salt solution with 25%
Total gallons of salt used is equal to 4 gallons
Required salt solution = 20%
Equation formed as per given information :
16% of x + 25% of 4 = 20% of ( 4 + x )
⇒ ( 16 / 100 ) × x + ( 25 / 100 ) × 4 = ( 20 / 100 ) × ( 4 + x )
⇒ 0.16x + 1 = 0.8 + 0.20x
⇒ 0.20x - 0.16x = 1 - 0.8
⇒ 0.04x = 0.2
⇒ x = 0.2 / 0.04
⇒ x = 20 / 4
⇒ x = 5 gallons
Therefore, 5 gallons of salt solution is required to obtained 20% of salt solution.
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3. (05.03 lc) wait times at an orthodontist's office are typically 17 minutes, with a standard deviation of 2 minutes. what percentage of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution? (3 points) 17% 68% 95% 99.7%
The percentage of people should be seen by doctor between 11 and 23 min is = 99.7%
The wait time at a doctor office is 17 minutes with a deviation of 2 min
we want to find the percentage of people seen by the doctor between 1 to 23 min
to find this we will find z score
as per rule the z score is = (x -u)/[tex]\alpha[/tex]x is the scoreu is the mean[tex]\alpha[/tex] is the standard deviationthe mean is 17 min and deviation is 2
the people should be seen by the doctor =
x = 11 and 23
z = 11-17/2 = -3
z= 23-17/2 = 6
lets use the standard normal distribution and you will find the answer.
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Over the past 6 1/2 hours, it rained 7/8 of an inch. What was the average amount of rainfall per hour?
Therefore , the solution of the given problem of fraction comes out to be 0.25 inches per hour average rainfall per hour.
What is a fraction?To represent a whole, any number of equal sums or decimals can be utilized. The quantity of a particular size is expression as a fraction in standard English. 8, 3/4. Fractions are included in wholes. In mathematics, the fraction to numerator ratio is used to represent numbers. All of these fractions of integers are simple fractions. A challenging fraction has a percent in the denominator. because actual fractions have different calculations, numerators, and numerators.
Here,
Given :
=> 6 1/2 hours or 13/2 hours
=> 6.5 hours
7/8 pf an inches.
So,
the average rainfall per hour is :
=> 7/8 / 3.5
=> 0.25 inches per hour
Therefore , the solution of the given problem of fraction comes out to be 0.25 inches per hour average rainfall per hour.
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What is the height of a triangle of area 67.2 cm² and the corresponding base 16cm?
Answer: hb=8.4cm
Step-by-step explanation:
Using the formula
A=hbb
2
Solving forhb
hb=2A
b=2·67.2
16=8.4cm
Use either the Law of Sines or the Law of Cosines. In ΔDEF, m∠E = 54°, d =
14 in., and f = 20 in. Find e.
A. 16.3 in.
B. 14.2 in.
C. 21.8 in.
D. 24.2 in.
The measure of side e is, 16.3 inches.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
In ΔDEF, m ∠E = 54°, d = 14 in., and f = 20 in.
Now, We know that;
⇒ cos E = (d² + f² - e²) / 2df
Substitute all the values, we get;
⇒ cos 54° = (14² + 20² - e²) / 2×14×20
⇒ 0.59 = (196 + 400 - e²) / 560
⇒ 0.59 × 560 = 596 - e²
⇒ 330.4 = 596 - e²
⇒ e² = 596 - 330.4
⇒ e² = 265.6
⇒ e = √265.6
⇒ e = 16.3 inches
Thus, The measure of side e is, 16.3 inches.
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in the summer of 1994, renate received a letter stating she was one of 110,000 finalists chosen. once the finalists were chosen, assuming that each finalist had an equal chance to win, what was renate's chance of winning a green card? let f
The required probability is P(G|F) = 0.5.
Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:
P(G|F) = P(G and F) / P(F)
Where P(G and F) is the probability of both Renate winning a Green Card and Renate being a finalist, and P(F) is the probability of Renate being a finalist.
Since Renate was one of 110,000 finalists, P(F) = 110,000 / 6.5 million = 0.016923076923076924
Out of the 110,000 finalists, 55,000 won a Green Card, so P(G and F) = 55,000 / 6.5 million = 0.008461538461538462
Therefore, Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:
P(G|F) = P(G and F) / P(F) = 0.008461538461538462 / 0.016923076923076924 = 0.5
Thus, Renate had a 5% chance of winning a Green Card, given that she was a finalist.
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--The given question is incomplete; the complete question is
"In 1994, the U.S. government held a lottery to issue 55,000 Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5 million people who entered this lottery. Let G = won Green Card.
In the summer of 1994, Renate received a letter stating she was one of 110,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate's chance of winning a Green Card? Let F = was a finalist. Write your answer as a conditional probability statement. (Round your answer to four decimal places.)"--
The image of a trapezoid is shown.
An isosceles trapezoid with a short base of 3 meters and a height of 5.8 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.
What is the area of the trapezoid?
17.4 m2
20.3 m2
40.6 m2
69.6 m2
The area of the given Trapezoid is calculated as; 42.5 m².
How to find the area of a Trapezoid?A trapezoid is defined as a quadrilateral with four sides where two sides are parallel to each other.
The parameters of the trapezoid are;
Short base length = 3 m
Height = 5 m
Large base length = 4 + 3 + 7 = 14 m
Thus;
Area of a trapezoid = 1/2 * (Short base + Large base) * h
Area = 1/2 * (3 + 14) * 5
= 1/2 * 17 * 5
= 42.5 m²
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The number of pick up trucks y built on an assembly line at a factory is represented by the equation
Based on how many pickup trucks are built each week and how long the plant operates each day, one truck is built per hour.
How does a linear equation work?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram Math World: linear.
How can I determine the number of assembled trucks?If the automaker facility operates for five days out of the week and 60 trucks are produced each week, then the number of trucks assembled per day is:
= 60 / 5
= daily 12 trucks
The number of trucks assembled every hour at the automaker's plant, which runs for 12 hours in a half-day, is:
= 12 trucks each day/worked hours
= 12 / 12
= One truck every hour
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The complete question is: The number of pick up trucks y built on an assembly line at a factory is represented by the equation y = [tex]\frac{x}{22}[/tex], where x is the time in hours.
1. Which type of vehicle is built at a faster rate?
2. How long does it take to built one of each type of vehicle?
3. Graph the equations that represent pickup trucks. Compare the steepness of the two graphs.
help me please 15 points
The simplified value of the expression is 45.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given expression,
8 x 3 ÷ (4² - 13) + 5² + 4 x 3
using PEMDAS to solve the expression,
Parentheses, Exponents, Multiplication, Division (from left to right), and Addition and Subtraction (from left to right).
step 1: Parentheses, (4² - 13)
(16 - 13) = 3
step 2: Exponents 5²
5² = 25,
step 3: Multiplication, 8 x 3 and 4 x 3
24 and 12
substitute the values,
8 x 3 ÷ (4² - 13) + 5² + 4 x 3
24 ÷ 3 + 25 + 12
step 4: Division,
24 ÷ 3 = 8
step 5: addition, 8 + 25 + 12
45
so 8 x 3 ÷ (4² - 13) + 5² + 4 x 3 = 45.
Hence the value of the expression is 45.
Learn more about simplification;
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Answer:
B. ⊄
Step-by-step explanation:
There is no Tuesday in the set to the right, so the set to the left is not a subset of the set to the right.
Answer: B. ⊄