Answer:
yes, they are parallel because their slopes are the same
Step-by-step explanation:
if you put each equation into slope-intercept form and compare slopes you can see whether they are parallel or not
2x + y = 14
y = -2x + 14
slope = -2
2y + 4x = 14
2y = -4x + 14
slope = -4/2, which simplifies to be -2
what type of error, if any, occurs in the following deduction?
All people drive cars to work
Gavin drives to work
therefore, Gavin drives a car
Answer:
No error
Step-by-step explanation:
Everything is true
all drive to work ( includes Gavin because he go to work)
(can I please have brainiest, I am one crown away )
Which values of x are solutions to this equation? |x/-4| = 2
-x = 4 or x = 8
-x = 2 or x = 6
-x = -2 or x = 2
-x = -8 or x = 8
Answer:
Step-by-step explanation:
|x/-4| = 2 corresponds to two different equations:
1) -x/4 = 2 if x/-4 is already positive, and
2) x/4 = 2 if -x/4 is negative, due to the absolute value operator
In case 1, -x = 8, or x = -8
and
in case 2, x = 8
so the solution set is {-8, 8}
Double check to ensure that you have copied down this problem correctly. Your " |x/-4| " looks odd/ambiguous
Answer:
|x/-4| = 2 corresponds to two different equations:
1) -x/4 = 2 if x/-4 is already positive, and
2) x/4 = 2 if -x/4 is negative, due to the absolute value operator
In case 1, -x = 8, or x = -8
and
in case 2, x = 8
so the solution set is {-8, 8}
Double check to ensure that you have copied down this problem correctly. Your " |x/-4| " looks odd/ambiguous
Step-by-step explanation:
Ms.Lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money did ms.Lawrence spend on smoked salmon
Answer:
$8.99
Step-by-step explanation:
1 pound = 16 ounces
y pound = 8 ounces
\(\frac{1}{16} :\frac{y}{8}\)
y · 16 = 1 · 8
16y = 8
16y ÷ 16 = 8 ÷ 16
y = 0.5
0.5 pound = 8 ounces
----------------------------------
1 pound = $17.98
0.5 pound = y
\(\frac{1}{17.98} :\frac{0.5}{y}\)
y · 1 = 17.98 · 0.5
y = $8.99
Round to the nearest hundredth if necessary.
6 m
8 m
cm2
Area =
The area may then be determined in square centimeters as follows: 600 area × 800 cm is equal to 480000 cm2 in area. Using the closest number
What is area?An area can be used to describe a surface's area. Surface area, also known as planar region, refers to the area of a form or planar layer, whereas planar region refers to the area of an open surface or the border of a three-dimensional object. An object's area is the entire amount of space occupied by its planar (2-D) surface or form. Use a pencil to mark a square on the paper. an individual having two dimensions. A shape's area on paper is the amount of space it occupies. Think of the square as being made up of smaller unit squares.
48.00 m^2 or 4800.00 cm^2 (depending on the unit you want to use)
The rectangle's length and breadth, 6 and 8 metres, respectively, must be multiplied to find the area:
Area: 6 x 8 x 48 metres.
The length and breadth must first be converted to cm if you wish to represent the area in square centimetres:
6 m = 600 cm
8 m = 800 cm
The area may then be determined in square centimetres as follows:
600 × 800 cm is equal to 480000 cm2 in area.
Using the closest number
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Do You Understand?
1.8
? Essential Question How can you use
the properties of operations to multiply linear
expressions?
It is possible to multiply or divide an equation by the same number on each side of the equation without changing the answer, according to the "multiplication property" of the equation.
How can you use the properties of operations to multiply linear expressions?
According to the equation's "multiplication property," it is possible to multiply or divide an equation by the same number on each side of the equation without changing the equation's outcome. The result of multiplying two terms with two different signs will be negative, while the product of two factors with the same sign will be positive. If a and b are positive integers and x is a variable, then (xa * xb) = x(m + n). The identity, commutative, associative, and distributive properties of multiplications are four properties that can facilitate the process. They offer guidelines for solving multiplication problems quickly using properties that always hold true for particular equations.
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Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
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What is the wavelength shift Δλ of an exoplanetary system at a wavelength of 3352 angstroms if an exoplanet is creating a Doppler shift in its star of 1.5 km per second? Show your calculations.
The wavelength shift Δλ of the exoplanetary system at a wavelength of 3352 angstroms due to the Doppler shift is approximately 16.76 angstroms.
To calculate the wavelength shift Δλ, we can use the formula:
Δλ = λ * (v/c)
where λ is the initial wavelength, v is the velocity of the source (in this case, the exoplanet-induced Doppler shift in the star), and c is the speed of light.
Given that the initial wavelength λ is 3352 angstroms and the velocity v is 1.5 km/s, we first need to convert the velocity to the same unit as the speed of light. Since 1 km = 10^5 cm and the speed of light is approximately 3 * 10^10 cm/s, we have:
Δλ = 3352 angstroms * (1.5 km/s / 3 * 10^5 km/s)
Simplifying the equation, we get:
Δλ = 3352 angstroms * (5 * 10^-3)
Δλ = 16.76 angstroms
Therefore, the wavelength shift Δλ of the exoplanetary system at a wavelength of 3352 angstroms due to the Doppler shift is approximately 16.76 angstroms.
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[48 (72-12) -225] ÷ 9
someone pls help
Answer:
295
Step-by-step explanation:
Answer:
295!
Step-by-step explanation:
72 - 12 = 60
48 x 60 = 2880
2880 - 225 = 2655
2655 / 9 = 295
Have you ever heard of PEMDAS? It is the order in which to solve equations like this one. Here's what it stands for:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
I hope this is helpful for future math equations similar to this one.
Need help on this please
Answer:
It's D
Step-by-step explanation:
2t - 30(\(\frac{1}{5}\)) = 20
2t - \(\frac{30}{1}\) (\(\frac{1}{5}\)) = 20
2t - \(\frac{30}{5}\) = 20
2t - 6 = 20
2t - 6 + 6 = 20 +6
2t = 26
\(\frac{2t}{2}\) = \(\frac{26}{2}\)
t = 13
of 22 employees employed at home depot, 9 work as cashiers and 13 work assisting customers on the floor. if 5 of the 22 employees are selected randomly to work on labor day for overtime pay, what is the probability that exactly 4 of them are cashiers
The probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%
To calculate the probability that exactly 4 out of the 5 employees selected to work on Labor Day are cashiers, we need to use the concept of combinations and probabilities.
First, let's determine the total number of ways to select 5 employees out of the 22. This can be calculated using the combination formula:
C(n, k) = n! / (k!(n-k)!)
where n is the total number of employees (22) and k is the number of employees selected (5).
C(22, 5) = 22! / (5!(22-5)!)
= 22! / (5! * 17!)
= (22 * 21 * 20 * 19 * 18) / (5 * 4 * 3 * 2 * 1)
= 22,957
So, there are a total of 22,957 ways to select 5 employees out of the 22.
Next, let's determine the number of ways to select exactly 4 cashiers out of the 9 cashiers. This can also be calculated using combinations:
C(9, 4) = 9! / (4!(9-4)!)
= 9! / (4! * 5!)
= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
= 126
Now, let's calculate the probability of selecting exactly 4 cashiers out of the 5 employees randomly selected for overtime pay:
P(4 cashiers) = Number of ways to select 4 cashiers out of 9 / Total number of ways to select 5 employees from 22
= C(9, 4) / C(22, 5)
= 126 / 22,957
≈ 0.00549
Therefore, the probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%
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Which of the following correctly describes the domain of the function shown below?
Except than x = 1, all real numbers fall within the function's domain.
Why can't a domain consist entirely of real numbers?Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.
The rational function r(x) = 2x/(x-1) is defined as follows.
So, we set the denominator to zero and solve for x in order to determine the domain of r(x):
x - 1 = 0
x = 1
Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.
We can express the domain as follows in interval notation:
(-∞, 1) U (1, ∞)
Except than x = 1, all real numbers fall within the function's domain.
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Question:
Which of the following correctly describes the domain of the function shown below?
r(x) = 2x x-1
A. {x:x0}
B. {x: x = 1}
c. x all .real .numbers}
D. xx1}
find the unit rate in the graph below
Answer:
b
Step-by-step explanation:
if you want to find the unit of a graph just choose a point
and take y and divide its by z
in this case i choose
18/4=4.5
ILL MARK BRAINLEST IF YOU GIVE ME THE RIGHT ANSWER!!! Find the length of side A?
Answer: 15 + 9 = 24
Step-by-step explanation: I speak Japanese btw and English.
Please help me with this question
Answer:
\(m=\frac{1}{2}\)
Step-by-step explanation:
The average rate of change (m) for the given line segment can be found with
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Given the graph, the following values can be recorded:
\((x_1,y_1)=(-1,-5)\\(x_2,y_2)=(1,-4)\)
So,
\(m=\frac{(-4)-(-5)}{(1)-(-1)}\\m=\frac{-4+5}{1+1}\\m=\frac{1}{2}\)
This answer makes sense in both sign and scale with the given image.
What is the solution for -6x + 9 ≤ 2-5 (x+1)?
The solution for -6x + 9 ≤ 2-5 (x+1) is x ≥ 12.
What is multiplicative distribution law?The multiplicative distribution law is a statistical law that states that the probability of a sequence of independent random variables is equal to the product of the individual probabilities. This law is also referred to as the independent probability law. This law is used to calculate the probability of a certain event or outcome that is the result of multiple random variables.
Use the law of multiplicative distribution -6x+9 < 2–5x–5
Unknown terms should be moved to the left side of the equation: -6x+5x<2-5-9
combining similar terms -x<2-5-9
Determine the total or difference: -x <-12
Reduce the biggest component that both sides of the inequality have in common: x ≥ 12.
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two shapes that represent the cross-sections
Answer:
it's the square and the rectangle
Company A charges $17, plus $11 per day to rent a piece of equipment. Company B charges $33, plus $9 per day to rent the same piece of equipment. How many days must the piece of equipment be rented for Company B to be less expensive?
Answer: The answer is 8 days
Step-by-step explanation:
this is the last step you do
16/2 2/2
and 16/2
is 8
so the answer is 8
Hope this helps :)
Find the missing side Lengths.
Answer:
5.23606798
Step-by-step explanation:
BINGO A bingo card contains 25 square spaces arranged into a larger square. 24 of the squares are labeled with numbers and the center square is labeled as a free space. The expression 16 - x² represents total area of the squares labeled with numbers. Factor the expression.
Answer:
(4 + x)(4 - x).
Step-by-step explanation:
The expression 16 - x² can be factored as the difference of two squares:
(4 + x)(4 - x)
To see why this is true, notice that:
(4 + x)(4 - x) = 16 - x²
This is a special case of the identity:
(a + b)(a - b) = a² - b²
where a = 4 and b = x. Using this identity, we get:
(4 + x)(4 - x) = 4² - x² = 16 - x²
Therefore, the expression 16 - x² can be factored as (4 + x)(4 - x).
Who has the best conclusion?A.Joe said the average grade was a 75.B.Collin said almost 15% made between a 91 and a 100.C.Paulina said most of the class made between a 71 and a 80.D.Quannah said that most of the students understood the concepts that were not tested.
Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:
A. Joe said the average grade was a 75.
Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.
B. Collin said almost 15% made between a 91 and a 100.
Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.
C. Paulina said most of the class made between a 71 and an 80.
Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.
D. Quannah said that most of the students understood the concepts that were not tested.
The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.
hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
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Is the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles? Justify your answer.
A. Yes. AB=(1−1)2+(9−7)2−−−−−−−−−−−−−−−√; BC=(7−5)2+(1−1)2−−−−−−−−−−−−−−−√
B. Yes. AB=(1−7)2+(9−1)2−−−−−−−−−−−−−−−√; CA=(−5−1)2+(1−9)2−−−−−−−−−−−−−−−−√
C. No. BC=(7+5)2+(1−1)2−−−−−−−−−−−−−−−√; CA=(−5−1)2+(1−9)2−−−−−−−−−−−−−−−−√
D. No. BC=(7−5)2+(1−1)2−−−−−−−−−−−−−−−√; CA=(−5−1)2+(1−9)2−−−−−−−−−−−−−−−−√
Yes, the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles
What are Triangles?Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.
A polygon also includes a triangle.
Triangles have three sides.
Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.
The angle of a triangle is represented by the symbol and represents the angle created by any two of its sides.
Three angles make compose a triangle. The triangle ABC has the following three angles: ABC, BCA, and CAB. The names of these angles are B, C, and A, respectively.
The point of intersection of any two sides of a triangle is known as a vertex.
A triangle's vertex is the location where any two of its sides cross. The vertices of a triangle are three. The vertices of the triangle ABC are A, B, and C.
Hence, Yes, the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles.
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Which table represents a linear function? X 1,2,3,4 Y -2, -6,-2,-6
Answer:
Here are some tiips: Only the first table represents a linear function. In order to be in linear function, the graph of the function must be a straight line.
In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is a polynomial function of degree one or zero.
What is the slope of the line that passes through the points (-5, 6) and (-9, -6)
The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Let the given points as shown:
(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)
Slope = m = (y2-y1) /( x2-x1)
= (-6-6) /(-9-(-5))
= -12/-4
= 3
So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3
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Danielle has two interest rates to choose from to invest her inheritance of $5,000.
BANK A: 2. 75% compounded monthly; BANK B: 3. 25 compounded semi-annually
Complete Danielle's work to find the better return after 10 years.
Danielle will get a better return if she invests in Bank B rather than in Bank A.
Given data are,
Bank A: 2.75% compounded monthly
Bank B: 3.25% compounded semi-annually.
In order to find the better return after 10 years, we need to calculate the final amount at both banks.
Let's calculate the final amount of Bank A using the compound interest formula,
A = P(1 + r/n)nt
Where, P = Principal amount, r = annual interest rate, n = number of times interest is compounded per year, t = time (in years).
Here, P = $5,000, r = 2.75% = 0.0275, n = 12 (monthly), t = 10 years.
So, the final amount at Bank A, A = 5000(1 + 0.0275/12)(12×10) = $6,906.90
Now, let's calculate the final amount of Bank B using the formula,
A = P(1 + r/n)nt
Here, P = $5,000, r = 3.25% = 0.0325, n = 2 (semi-annually), t = 10 years.
So, the final amount at Bank B,
A = 5000(1 + 0.0325/2)(2×10) = $7,322.36
Therefore, the better return after 10 years would be at Bank B.
That is, Danielle will get a better return if she invests in Bank B rather than in Bank A.
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How many degrees is angle RQS and Angle TQS?
Answer:
180 degrees
Step-by-step explanation:
Angle RQS + Angle RQS = 180 degrees
Answer:
RQS = 102 TQS= 78
Step-by-step explanation:
2. Find the value of x and y.
62°
(4x+2)°
(12y)
144°
Ox= 15, y= 12
Ox= 14, y= 11
Ox=14, y = 12
Ox= 15, y= 11
Answer:
x=15,y=12
Step-by-step explanation:
Alternate angles are those angles that are on the opposite side of the parallel lines transverse with a line touching both parallel lines.
The value of x and y are 15 and 12.
x = 15
y = 12
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
The figure contains four angles.
62 and (4x + 2) are alternate angles.
12y and 144 are alternate angles.
We know that alternate angles are equal.
So,
62 = 4x + 2 ____(1)
12y = 144 _____(2)
From (1) we get,
62 = 4x + 2
Subtract 2 on both sides.
62 - 2 = 4x + 2 - 2
60 = 4x
Divide both sides by 4.
4x = 60
x = 60/4
x = 15
From (2)
12y = 144
Divide both sides by 12.
y = 144/12
y = 12
Thus,
The value of x and y are 15 and 12.
x = 15
y = 12
Option A is the correct answer.
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Question 2 (1 point) Solve 2d - 7= 8-34. O a d- 5 Oь d = -15 Ос d=-1 5 Od Submit
Answer: D= -9.5 or -19/2
Write the equation of the table below in Slope-Intercept Form.
Answer:
12=-3(-7.5)-10.5
Step-by-step explanation:
first find the slope
m=y2-y1/x2-x1
0-12=(-12)
-3.5-(-7.5)=4
-12/4=(-3)
now write the equation
y=mx+b
12=-3(-7.5)+b
now solve
-3*-7.5=22.5
22.5-22.5=0
12-22.5=(-10.5)
b=-10.5
hope this helps :3
if it did pls mark brainliest
please help, i am not good at maths, brainiest will be given
Answer:
Modal average is the number that appears the most
Modal average: 3
1+2+3+4+5=15
15/3= Mean: 3
Step-by-step explanation:
add all the bedrooms and divide that sum by the number of numbers added. That's the mean.
Hope this helps.
A) 4 is the mode of the table
B)
1+2+3+4+5=15
15/5=3