The area of the square with a side length of 13 units is 169 square units.
What is the area of the given square?A square is simply a regular quadrilateral having all four sides and angles equal.
The area of a square is expressed as;
A = a²
Where a is the side length.
Given the data in the question;
Side length of the square a = 13 unitsArea A = ?To determine the area of the square, plug the given value into the area of square formula and solve for A.
A = a²
A = ( 13 )²
Area A = 169 square units.
Therefore, the area of the square is 169 square units.
Option D) is the correct answer.
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someone help me with this
Answer:
your answer would be: [6], [-2]x[3], and [6]
Step-by-step explanation:
all the parenthesis are absolute value lines :)
Several students were asked to formalize the following argument by defining appropriate predicates and then giving the argument as a numbered listed of statements. Each statement was to be labeled either as a premise, or a conclusion from earlier statements, and the argument form used identified. Vegetarians don't eat meat. Bill is a vegetarian. Pork is a kind of meat. Therefore, Bill does not eat pork. Identify the correct answer.
The argument can be formalized as follows:Premise: Vegetarians don't eat meat.Premise: Bill is a vegetarian.Premise: Pork is a kind of meat.Therefore, Bill does not eat pork.
The argument follows a simple deductive form known as modus tollens. Modus tollens is a valid argument form that states if a conditional statement ("if A, then B") is true and the consequent (B) is false, then the antecedent (A) must also be false.
In this case, the conditional statement is "Vegetarians don't eat meat," and the false consequent is "Bill eats pork." Therefore, the argument concludes that the antecedent must be false, leading to the conclusion that "Bill does not eat pork."
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|-2y+6|=6 please show the steps involved!!!
Answer:
y = 6 or y = 0
Step-by-step explanation:
|-2y + 6| = 6
-2y + 6 = -6 -2y + 6 = 6
-2y = -12 -2y = 0
y = 6 y = 0
Best of Luck!
Answer:
Step-by-step explanation:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|-2y+6| = 6
STEP
2
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |-2y+6|
For the Negative case we'll use -(-2y+6)
For the Positive case we'll use (-2y+6)
STEP
3
Solve the Negative Case
-(-2y+6) = 6
Multiply
2y-6 = 6
Rearrange and Add up
2y = 12
Divide both sides by 2
y = 6
STEP
4
Solve the Positive Case
(-2y+6) = 6
Rearrange and Add up
-2y = 0
Divide both sides by 2
-y = 0
Multiply both sides by (-1)
y = 0
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
y=6
y=0
Two solutions were found :
y=0
y=6
Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing the area of the flooring to 256 ft2 by increasing the width and length by the same amount, x. Which equation can be used to find x?
A. 256=(12+x)(12+x)
B. 256=(12−x)(12−x)
C. 256=12(12+x)
D. 256=12(12−x)
Given information:Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing the area of the flooring to 256 ft2 by increasing the width and length by the same amount, x.
Formula for the area of a rectangular is given as follows:Area of a rectangular = Length × WidthLet, the width and length of the rectangular be x.So, the area of the rectangular after increasing the width and length by the same amount will be:(12 + x) × (12 + x)According to the question, the area of the rectangular after increasing the width and length by the same amount is 256.So, the equation that represents the given situation is:256 = (12 + x) × (12 + x)256 = (12 + x)²Answer:Option A: 256 = (12 + x) × (12 + x) is the correct equation to find x.
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L2 Blake Turner, a pharmacy technician, earns an annual gross pay of $26,750. He is single with no children. Using the tax table from (Figure 2.1, how much more
Federal Income tax will Blake have to pay per week if he changes he allowances from 1 to 3?
Figure 2.1. Use this table with the question below, as needed.
?
$61
$51
SINGLE PERSONS - WEEKLY PAYROLL PERIOD
If the wages are-
And the number of withholding allowances claimed is-
At least But less than
0
2
3
$500
$510
$41
$32
510
520
62
53
43
33
520
530
64
54
44
35
530
65
56
46
36
540
67
57
47
38
550
560
68
59
49
39
540
550
Answer:
The correct answer would be "$66.85".
i hope i helped :)
Step-by-step explanation:
You can infer causality from a correlational result, but only when the r value is greater than ?A. 0B. 5C. 1
You can infer causality from a correlational result, but only when the r value is greater than:
C. 1
Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.
However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.
In addition, there are other factors that need to be considered when assessing causality from a correlational result.
For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.
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Chavi saw 73/100
of the paintings in a museum. Carisa saw 6/100 of the
paintings in the museum. What fraction more of the museum's paintings did Chavi see than Carisa? Simplify the answer if possible.
To answer this question, we first need to know the fraction of the museum's paintings that Chavi saw. Let's represent this fraction as "x". Then we can find the difference between the fractions of paintings that Chavi and Carisa saw.
Step 1: Identify the fractions
Carisa saw 6/100 of the paintings.
Chavi saw x of the paintings.
Step 2: Calculate the difference
Difference = Chavi's fraction - Carisa's fraction
Difference = x - (6/100)
Step 3: Simplify the answer if possible
We cannot simplify the answer further without knowing the fraction of paintings Chavi saw (x). Once you have the value of x, you can plug it into the equation and calculate the difference in the fractions of paintings seen by Chavi and Carisa.
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35x10. I need help please help thank you
Answer:350
Step-by-step explanation: 35x10 =350
what is the y-intercept of a line that passes through the points (2, -2.5) and (4, -2)?
Answer:
Step-by-step explanation:
To find the y-intercept, we can use the slope-intercept form of a linear equation which is y = mx + b, where m is the slope of the line, and b is the y-intercept.
Since the line passes through the points (2, -2.5) and (4, -2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
To find the slope(m) we can use the rise over the run formula ,
m = (y2 - y1) / (x2 - x1) = (-2 - (-2.5)) / (4 - 2) = -0.5
then we can substitute the values in point-slope form
y - (-2.5) = -0.5 (x - 2)
And now we can use x = 0,
y = -0.5(0-2) -2.5 = 1.5
so the y-intercept of the line is 1.5
What is the median of the following numbers? 8, 10, 8, 5, 4, 7, 5, 10, 88,10,8,5,4,7,5,10,8.
The median of the following numbers
8, 10, 8, 5, 4, 7, 5, 10, 88, 10, 8, 5, 4, 7, 5, 10, 8 is 8.
Given numbers is
8, 10, 8, 5, 4, 7, 5, 10, 88,10, 8, 5, 4, 7, 5, 10, 8
First you have to organize them in least to greatest order,
4, 5, 5, 7, 8, 8, 8, 10, 10
Second now take these numbers and climate one from each side until you have 1 or 2 numbers left.
that is the
4 5 5 7 8 8 8 10 10
x x x x ! x x x x
So, the middle number will be the median of the given numbers.
Hence the answer is the median of the following numbers
8, 10, 8, 5, 4, 7, 5, 10, 88, 10, 8, 5, 4, 7, 5, 10, 8 is 8.
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∠A and ∠ � ∠B are vertical angles. If m ∠ � = ( 4 � + 13 ) ∘ ∠A=(4x+13) ∘ and m ∠ � = ( 7 � + 4 ) ∘ ∠B=(7x+4) ∘ , then find the value of x
We can use algebra to solve this problems as the angles are algebraic expressions. First we have to calculate the value of x and then substitute to get ∠A and ∠B. Here value of x is 3.
Here two vertical angles are given. Vertical angles are the opposite angles formed when two lines intersect. So the angles will be equal.
So ∠A = ∠B
Here ∠A = 4x+3
∠B = 7x+4
∠A = ∠B
So, 4x+3 = 7x+4
Here they are two algebraic equations and the value of x can be calculated.
4x+ 13 = 7x+ 4
13 - 4 = 7x - 4x
9 = 3x
x = 9/3 = 3
So ∠ A = 4x+13 = 4× 3 + 13 = 12 + 13 = 25°
∠B = 7x+ 4 = 7×3 + 4 = 25°
So the vertical angles A and B are equal and will be 25° and value of x = 3.
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The complete question is given below.
∠A and ∠B are vertical angles. If ∠A = (4x+13)° and ∠B = (7x+4)°, then
a) Find the value of x
b) Find the angles ∠A and ∠B.
What is the probability that three points chosen uniformly and independently on a circle fall on a semicircle
The probability that three points chosen uniformly and independently on a circle fall on a semicircle is 1/2 or 50%.
The probability of three points chosen randomly and independently on a circle falling on a semicircle is 1/2, or 50%. This is because the probability of a point landing on either side of the semicircle is equal. The points are chosen on a circle, so each point has an equal probability of being on either side of the semicircle. Therefore, the probability of three points randomly chosen on a circle landing on a semicircle is 1/2 or 50%.
Let A, B, and C be the three points chosen on a circle.
The probability that A, B, and C fall on the semicircle is:
P(A on semicircle) x P(B on semicircle) x P(C on semicircle)
= (1/2) x (1/2) x (1/2)
= (1/2)^3
= 1/8
Therefore, the probability that three points chosen randomly and independently on a circle fall on a semicircle is 1/8 or 12.5%.
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The probability that three points chosen uniformly and independently on a circle fall on a semicircle is written as 1/8.
The term probability in math is defined as the chances of something materializing based upon the ratio of its number of outcomes to the number of outcomes of the whole sample space the event relies upon.
While we looking into the given question, here let us consider that A, B, and C be the three points chosen on a circle.
Then the probability that A, B, and C fall on the semicircle is calculated as,
=> P(A on semicircle) x P(B on semicircle) x P(C on semicircle)
Now, we have to apply the value of each probability, then we get
=> (1/2) x (1/2) x (1/2)
Therefore, the resulting value is
=> (1/2)³ = 1/8
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Polygon C and polygon D are similar. The perimeter of polygon C is 60 inches,
and the perimeter of polygon Dis 12 inches. If one side of polygon C is 4
inches, what is the length of the corresponding side in polygon D?
A. 0.3 in
OB. 20 in
OC. 4 in
OD. 16 in
k
Answer:
Using the method of ratio and proportion, we find that the length of the side of Polygon D is 0.8in.
Step-by-step explanation:
Given that Polygon C and Polygon D are similar. This means that the ratio of the length of one side of Polygon C to the length of corresponding side of Polygon D will stay same even if we change the lengths.
Perimeter of polygon C = 60in
Perimeter of polygon D = 12in
Length of side of polygon C = 4in
Let us take the number of sides of both the polygons same. Let the length of the side of polygon D x inches. Let the number of sides be n.
First equation, 4n = 60
Second equation, xn = 12
Dividing second by first
(xn) / (4n) = 12 / 60
x / 4 = 1 / 5
x = 4 / 5 = 0.8in
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If C = q? – 2 + q and D = 3q2 + 2q, find an expression that equals 3C – 3D in
standard form.
Can someone help me it’s do today and i don’t know what to do ?? I need the answers for my edmentium Plato
Answer:
Which one specifically?
Step-by-step explanation:
Please specify which question to be answered
a salvage value of $7,000 after 4 years. At a MARR of 12% per year, when comparing the alternatives, the equation of PW is written as:
a. PWX=−20,000−9000(P/A,12%,4)+5000(P/F1,12%,4)−15000(P/F,12%,4)
b. PWX=−20,000−9000(P/A,12%,4)+5000(P/F,12%,2)−15000(P/F,12%,2)
c. None of these answers
d. PWX=−20,000+9000(P/A,12%,4)+5000(P/F,12%,4)−15000(P/F,12%,2)
The correct equation for comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).
The correct equation for the present worth (PW) when comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is:
b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2)
This equation takes into account the initial cost of -$20,000, the cash inflow of $9,000 per year for 4 years (P/A,12%,4), the salvage value of $5,000 at the end of year 2 (P/F,12%,2), and the salvage value of $15,000 at the end of year 4 (P/F,12%,4).
Therefore, the correct option is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).
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Say, for example, the correlation is 0.75 between fat content (measured in grams) and cholesterol level (measured in milligrams) for 20 different brands of American cheese slices. If cholesterol level were changed to being measured in grams (where 1 gram = 1000 milligrams), what effect would this have on the correlation?
If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.
This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.
The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.
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Washing machines often eat socks (i.e. a sock disappears). Assume that you put 10 pairs of socks (each pair is a different color) into a washing machine, and the washing machine will always eat 4 individual socks. It could either eat:
What is the angular misclose in a three-sided traverse if the observed internal angles are A=60 ∘00 ′7 ′;B=40 ∘00 ′29 ′; and C=80 ∘00 ′18′ Provide your answer with format (+/-ddd.mmss) in the answer box.
The angular misclose for a three-sided traverse is - 1° 00' 00" and the format of the angular misclose for the given problem is (-01.0000).
The angular misclose in a three-sided traverse if the observed internal angles are:
A = 60° 00' 7",
B = 40° 00' 29", and
C = 80° 00' 18" is -1° 00' 00".
The angular misclosure of a traverse is the difference between the total sum of measured angles and the sum of the interior angles of a closed traverse.
The sum of the measured angles and the sum of the interior angles are compared to determine the accuracy of the survey.
A closed traverse is when you start at a point, travel in a closed loop, and return to the starting point.
Here's how to calculate the angular misclose for a three-sided traverse.
The sum of all internal angles of a triangle is 180°.
Thus: Sum of internal angles = A + B + C = 60° 00' 7" + 40° 00' 29" + 80° 00' 18" = 180° 00' 54"
Here, the sum of the internal angles is 180° 00' 54".
However, for a triangle, the sum of the interior angles must be 180 degrees.
Therefore, the difference is the angular misclose = 180° 00' 54" - 180° 00' 00" = 00° 00' 54".
The angular misclose is 00° 00' 54".
Since the internal angles sum is greater than 180 degrees, the sign of the misclose is negative.
Therefore, the angular misclose for a three-sided traverse is - 1° 00' 00".
Therefore, the format of the angular misclose for the given problem is (-01.0000).
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please help me!!!! Solve for x
5^x = 5^3 x 5^8
Answer:
x=11
Step-by-step explanation:
trust i guess
Answer:
Step-by-step explanation:
The terms have the same base... (5)
So...
You can just take away the 5s and get:
X = 3 . 8
X = 24
It is simple.
prove by contradiction that if you have 367 people there are at least 2 that were born on the same day of the year. match the step on the left with the justification on the right.
If you have 367 people there are at least 2 that were born on the same day of the year.There must be at least 2 that were born on the same day of the year.
justification:
To prove by contradiction that if you have 367 people, there are at least 2 that were born on the same day of the year, follow these steps:
1. Assume the opposite of what we want to prove, i.e., all 367 people were born on different days of the year.
2. We know that there are only 365 possible days in a year (ignoring leap years). So, if 367 people were all born on different days, that would mean there are at least 367 unique days in a year.
3. This assumption contradicts the fact that there are only 365 days in a year, which is a contradiction.
4. Since we've reached a contradiction, our original assumption must be incorrect.
Thus, if you have 367 people, there must be at least 2 that were born on the same day of the year.
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The opposite of the assumption (i.e., what you want to prove) must be true.
Assume that there are 367 people and none of them were born on the same day of the year.
There are 365 days in a year, so if no two people were born on the same day, then the first person could have been born on any day, the second person could have been born on any of the remaining 364 days, the third person could have been born on any of the remaining 363 days, and so on.
Therefore, the number of possible ways for 367 people to be born on different days of the year is: 365 x 364 x 363 x ... x 2 x 1 / (367 x 366 / 2)
Simplifying this expression gives: 365 x 364 x 363 x ... x 2 x 1 / 183,055
This is a very large number, approximately equal to 2.8 x 10^782.
However, this is greater than the total number of people who have ever lived on Earth, which is estimated to be around 108 billion.
Therefore, it is impossible for 367 people to be born on different days of the year, and our initial assumption must be false.
Thus, we can conclude that if you have 367 people, there are at least 2 that were born on the same day of the year.
Step 1: Assume the opposite of what you want to prove.
Step 2: Use logical reasoning to derive a consequence of the assumption.
Step 3: Show that the consequence is inconsistent with what is known to be true.
Step 4: Conclude that the assumption must be false, and therefore, the opposite of the assumption (i.e., what you want to prove) must be true.
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Rod made a scale drawing of a petting zoo. He used the
scale 1cm: 5m. If the goat pen is 3 cm in the drawing, how
long is the actual pen?
Answer: 15m
Step-by-step explanation:
Since 1cm is to 5m, just multiply 3 by 5 and you will get 15.
The new camera you want to buy is $84.95. This weekit is on sale for 30% off. You also need to pay 7.25% sales tax. What is the inalcost of the camera? This is very easy so Ima give you guys about 50 points because im cool lol
Answer:
283.2325$
Step-by-step explanation:
Is (5,0) as an ordered pair a solution to 5x-4y>20?
Please explain. Thanks!
Answer:
The ordered pair is a solution
Step-by-step explanation:
5x - 4y > 20
Our point is (5,0) in the format of (x, y)
This makes 5 equal to "x", and 0 equal to "y"
Now you plug it in
5(5) - 4(0) > 20
Now multiply/simplify
25 - 0 > 20
25 > 20
This statement is true, meaning the ordered pair is a solution to the equation.
Which graph is correct?
The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.
Inequalities are used for the non equal comparison of numbers and variables.
Given the inequalities:
y ≥ (1/2)x - 1 (1)
and
x - y > 1 (2)
The graph of the inequality is attached. Shannon's graph is correct.
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Simplify the expression.
(r9/r3)4
Answer:
12 is the answer
Step-by-step explanation:
first r/r will cancel r
9/3*4 is left
simplifying 9/3 gives 3
hence answer is 3*4=12
plz mark brainliest
Answer:
\(9r \div 3r = (3r)4 = 12r \)
What is an example of slope-intercept form?.
Answer:
y = 3x + 1
Step-by-step explanation:
The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
evaluating all possible values of a variable in a model is called
Evaluating all possible values of a variable in a model is called a sensitivity analysis.
A sensitivity analysis is a technique used to assess the impact of changes in the values of input variables on the output or outcome of a model or system. It involves systematically varying the values of the variables within a defined range and observing the corresponding changes in the model's output.
The purpose of a sensitivity analysis is to understand how sensitive the model is to changes in the input variables and to identify which variables have the most significant influence on the model's results.
During a sensitivity analysis, different scenarios are created by varying one or more input variables while keeping others constant. By examining the resulting changes in the model's output, analysts can gain insights into the relationships and dependencies between the variables and assess the robustness of the model's predictions or decisions.
Sensitivity analysis helps in understanding the potential risks, uncertainties, and limitations associated with the model, and can aid in decision-making and improving the model's performance by identifying critical variables that need to be carefully monitored or controlled.
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What is the area of the parallelogram?
A parallelogram with a base of 9 centimeters and a height of 4 centimeters.
18 cm2
28 cm2
36 cm2
45 cm2
Answer:
Step 1: area is base × height
Step 2: 36cm2
Step-by-step explanation:
Base × height is 9 and 4 and 9×4 = 36cm2
Hope this helps :)
Combine like terms in each
part below
Liha has three x2 -tiles, two x-tiles, and eight unit tiles, while Makulata has five x2-tiles and two unit
tiles. At the end of class, they put their pieces together to give to Ms. Singh. Write an algebraic
expression for each student's tiles and find the sum of their pieces.
According to the given quadratic equation the sum of their pieces:
A. = 8x² + 2x + 10
B. 7x²- 7x -17
C. incomplete information.
what exactly is a quadratic equation?A quadratic equation is a third polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
What makes it a quadratic equation?In mathematics, the quadratic issue is any problem that involves multiplying a variable by itself, often known as "squaring." This terminology comes from the fact that a square's area is equal to its side length divided by itself. The Latin term quadrature, which means square, is where the word "quadratic" derives.
According to the given information:A. Lisha
= 3x² + 2x + 8
Makulata = 5x² + 2
Sum of the given equation:
= (3x² + 2x + 8) + ( 5x² + 2)
=(3x² + 5x² +2x + 10)
= 8x² + 2x + 10
B.
= 4x + 6x² - 11x + 2 + x² - 19
= (6x² + x²) + (4x - 11x) + 2 -19
= 7x²- 7x -17
C. incomplete information.
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