Answer:
y = 9
Step-by-step explanation:
6 (y-8)=6
Divide each side by 6
6/6 (y-8)=6/6
y-8 = 1
Add 8 to each side
y-8+8 = 1+8
y = 9
Answer:
Yep
Step-by-step explanation:
undo in reverse order-
first, divide the six, then, add the eight
good luck with your math :)
Causes of variation that can be identified and eliminated are called what?
The causes of variation that can be identified and eliminated are called; Assignable Causes.
What are the causes of Variation?There are two primary causes of variation in the quality of a product or process. These two primary causes are called;
Common causes.Assignable causes.Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.
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the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10. given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years? responses 0.05 0.05 0.06 0.06 0.10 0.10 0.40 0.40 0.50
Option D is the right choice.
It is discovered through the use of conditional probability that there is a 0.4 = 40% chance that it will stop working in less than 2 years.
Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Conditional Probability:
P (B / A) = P (A∩B) / P (A)
Here:
P(B / A) is the likelihood that event B will occur in the absence of event A.
P (A∩B) is the likelihood that both A and B will occur.
P(A) denotes the likelihood that A will occur.
As per the question:
Event A: Delivery was harmed.
Event B: Fails to function after less than two years.
P (A) = 0.1 due to the probability of being damaged during delivery being 0.1.
P (A∩B) = 0.04 because there is a 0.04 likelihood that it will be damaged during the delivery and stop working.
The likelihood under the condition is:
P (B / A) = P (A∩B) / P (A) = 0.04 / 0.1 = 0.4
0.4 = 40% chance that it will stop working in under two years.
Therefore, option D is correct.
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A box is subject to the forces shown in the diagram below.
5N Up
7.5N Left
7.5N Right
10N Down
Calculate the size and direction of the resultant force on the box.
Show your working.
Resultant force =?
The resultant force on the box, along with it's direction, is given as follows:
5N Down.
How to obtain the resultant force on the box?The resultant force on the box is obtained as the vector sum of all the forces in the box.
The forces are given as follows:
5N Up7.5N Left7.5N Right10N DownThe horizontal forces are the same force in opposite directions, hence the horizontal forces are of zero.
The sum of the vertical forces is given as follows:
5 - 10 = -5N.
As the sum is negative, the direction is in the down direction, hence the resultant force is of -5N down.
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\(4x ^{2} \: 6xy \: 8y ^{2} \)
Answer:
\(192x ^{3} y ^{3} \)
Stuck, need help please.
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
The value of the angle x is equal to 53°
What is the Measure of the angle?
A) From the image attached, we can solve for the angles as follows;
m ∠RPB = 180 - 115 = 65°
Thus, the angle m∠x = 180° - 65° - 62°
= 53°
B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).
Second line:
The 3 angles x, 62 and 65 degrees are all on the same straight line (AB), so they sum to 180 degrees.
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find the linear relationships
Answer:
There is no linear relationship in this problem.
Step-by-step explanation:
When plotting the coordinates on the graph, the line curves and slopes upwards. It is not a straight line.
What is remainder when x3 2x² X 1 is divided by x 1?
When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).
To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.
In this we ca easily find the remainder.
Now we firstly find the value of x;
(x+1) = 0
Subtract 1 on both side we get;
x= −1
Now put x= -1 in the expression x^3+2x^2+x+1.
x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1
x^3+2x^2+x+1 = −1+2−1+1
x^3+2x^2+x+1 = 1
Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
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The right question is:
What is remainder when x^3+2x^2+x+1 is divided by (x+1)?
Simplify the following without a calculator: (5)(6+4)
Answer:
your answer is 50 I hope it's helps you t
Answer:
50
Step-by-step explanation:
(5)(6+4)
5(6)+5(4)
30+20
50
THANK YOU
Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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the hypotenuse of a right triangle measures 12 centimeters and its shorter leg measures 4 centimeters. what is the measure of the larger acute angle of the triangle? round your answer to the nearest tenth of a degree.
The measure of the larger acute angle of the right triangle is 73.7°. This can be calculated using trigonometry and the Pythagorean theorem.
The larger acute angle of the triangle can be found using trigonometry. First, we can find the length of the other leg using the Pythagorean theorem: a² + b² = c², where c is the hypotenuse and a and b are the legs. Plugging in the values we get: 4² + b² = 12², solving for b we get b = √(12² - 4²) = 8√3. Now we can use inverse tangent to find the larger acute angle: tan⁻¹(opposite/adjacent) = tan¹⁽⁸√³/⁴⁾ ≈ 73.7°. So, the measure of the larger acute angle is 73.7°.
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Linda just finished watching the movie Space Jam 2. The film ran for 1 hour and 59 minutes. What time did she finish watching if she started at 8:05 AM?
Answer:
10:04 AM
Step-by-step explanation:
1 hr and 59 minutes is 1 minute short of two hours therefore 8:05 + 2 = 10:05 - 1 = 10:04
The Flood of a hall is 15 m long of 8:4m board Find the cost of carpeting the Floor at 85 per Sq.m
After 4 new students joined a class, the class had 32 students.
Which equation can be used to find x, the number of students in the class before the students joined?
A. x/4 = 32
B. x - 4 = 32
C. 4x = 32
D. x + 4 = 32
Write an algebraic expression that matches Six less than a number
ANSWER
x - 6
EXPLANATION
We want to write an algebraic expression that matches the statement:
Six less than a number.
First, let that unknown number be x.
So, 6 less than x.
Since it means that we are taking 6 from x, we subtract 6 from x.
That will be:
x - 6
Quadrilateral ABCD is a square with diagonals AC and BD. If A(4, 9) and C(3, 2), find the slope of BD.
7 is the slope of BD in Quadrilateral.
What in arithmetic is a quadrilateral?
Four sides, four vertices, and four angles make up a quadrilateral, which is a two-dimensional form. Concave and convex are the two most common forms. Additionally, there are several subgroups of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombus, and squares.
There are four closed sides to a quadrilateral. Quadrilaterals are the following figures: produced by Raphael. a quadrilateral form. The form features a single pair of parallel sides and no right angles.
points A(4, 9) and C(3, 2)
slope = y₂ - y₁/x₂ - x₁
= 2 - 9/3 - 4
= - 7/-1
= 7
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Please help ! (only right answers please )!
Answer:
c
Step-by-step explanation:
\(1). \: 3 \sqrt{8} - \sqrt{50} + 2 \sqrt{18} \\ 2). \: \sqrt{12} - \sqrt{27} - 2 \sqrt{75} \\ \)
Correct answer will be mark as brainliest.
Step-by-step explanation:
\(\bf 3\sqrt{8} -\sqrt{50} +2\sqrt{18} =\)
\(\bf 3\sqrt{2^{3}} -\sqrt{2\cdot5^{2}} +2\sqrt{2\cdot3^{2}} =\)
\(\bf 3\cdot 2\sqrt{2} -5\sqrt{2} +2\cdot3\sqrt{2} =\)
\(\bf 6\sqrt{2} -5\sqrt{2} +6\sqrt{2} =\)
\(\bf 12\sqrt{2} -5\sqrt{2} =\green{\underline{~7\sqrt{2}~}}\)
__________________
\(\bf \sqrt{12} -\sqrt{27} +2\sqrt{75} =\)
\(\bf \sqrt{2^{2}\cdot3} -\sqrt{3^{3}} +2\sqrt{3\cdot5^{2}} =\)
\(\bf 2\sqrt{3} -3\sqrt{3} +2\cdot5\sqrt{3} =\)
\(\bf 2\sqrt{3} -3\sqrt{3} +10\sqrt{3} =\)
\(\bf 12\sqrt{3} -3\sqrt{3}=\blue{\underline{~9\sqrt{3}~}}\)
\(==SalmonWorldTopper==\)
A taxi leaves an airport and travels 15 miles east to
drop off a passenger. The taxi driver then has to go
to a point that is 35 miles west of the airport to
drop off his second passenger. He then returns to
the airport to pick up his next fare. How many
miles did he drive?
Answer:
70 miles
Step-by-step explanation:
15 + 35 + (35 - 15) = 15 + 35 + 20 = 70
Determine the operation that results in the simplified expression below. x^5+x^4-5x^3-3x^2+x-8
Answer:
The second choice is correct:
.. Q - P
_____
The constant term is all you really need to look at to figure this.
For P(x), the constant is +2.
For Q(x), the constant is -6.
For P+Q, the constant is -4 . . . . not correct
For Q-P, the constant is -8 . . . . correct
For PQ, the constant is -12 . . . . not correct
For P-Q, the constant is 8 . . . . .not correct
Step-by-step explanation:
This graph shows the solution to which inequality?
Answer:
Where is the graph of this question?
An exact location in space is called a _______ALineBPointCCircleDLine segment
Option B is Correct. An specific place in space is called a point. A dot indicates a point.
A point in space is a location. No length, width, or thickness exist in a point. In geometry, a dot stands in for a point. We typically use a (capital) letter to name a point. The simplest basic geometric object is a point. It is named with a capital letter and symbolised by a dot.
A point has no size and solely represents position (that is, zero length, zero width, and zero height). In a line, a line segment has two distinct endpoints. The line segment's length, which is the separation of two fixed points, is constant.
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Correct Question:
An exact location in space is called a _______
A. Line
B. Point
C. Circle
D. Line segment
Riverside County, California, is one of the five fastest-growing counties in the United States. One estimate uses the function P(t) = 4, (1.04)' to model the population, where A is the population at time t = 0 and t is the time in years. The population in 2007 reached 2,000,000 for the first time. 1. Write a specific model for the population of Riverside County in terms of years after 2007. 2. Use the model to predict the population in 2027. 3. Use the model to predict when the population will reach 3,000,000.
In this problem, we are given a population growth model for Riverside County, California, and we need to use the model to make predictions about the population. The model is given as P(t) = \(A(1.04)^t\), where A is the population at time t = 0 and t is the time in years. We are asked to write a specific model for the population in terms of years after 2007, predict the population in 2027, and determine when the population will reach 3,000,000.
1. To write a specific model for the population of Riverside County in terms of years after 2007, we need to determine the value of A, which represents the population at time t = 0. Since the population in 2007 reached 2,000,000, we can substitute this value into the model. Therefore, the specific model for the population in terms of years after 2007 is P(t) = \(2,000,000(1.04)^t\).
2. To predict the population in 2027, we need to substitute t = 2027 - 2007 = 20 into the model. Therefore, the population in 2027 is P(20) = \(2,000,000(1.04)^{20\).
3. To predict when the population will reach 3,000,000, we need to solve the equation P(t) = 3,000,000. Substituting the model equation, we get \(2,000,000(1.04)^t\) = 3,000,000. Solving this equation will give us the value of t when the population reaches 3,000,000.
By following these steps, we can utilize the given population growth model to make predictions about the population of Riverside County in the future.
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Explain arithmetic operations with whole numbers, integers, fractions, and decimals.When solving equations, what is done to one side of the equation, must also be done to the other side. Why?
Adding two numbers combines their values
Subtracting one number from another finds the difference between the two values
Multiplying two numbers gives the product of their values
Dividing one number by another gives the quotient of their values
By performing the same operations on both sides, to maintain the balance and validity of the equation.
Arithmetic Operations with Whole Numbers, Integers, Fractions, and Decimals:
1. Addition: Adding two numbers combines their values. For example,
2 + 3 = 5.
This operation is commutative, meaning the order of numbers doesn't affect the result.
2. Subtraction: Subtracting one number from another finds the difference between the two values. For example,
5 - 3 = 2.
This operation is not commutative since changing the order of numbers will yield a different result.
3. Multiplication: Multiplying two numbers gives the product of their values.
For example, 2 * 3 = 6.
This operation is commutative.
4. Division: Dividing one number by another gives the quotient of their values. For example,
6 / 2 = 3.
Division is not commutative, and it's important to note that division by zero is undefined.
When solving equations, what is done to one side of the equation must also be done to the other side. This is because an equation represents a balance or equality between two expressions. The goal is to isolate the variable on one side of the equation and keep the equation balanced.
By performing the same operation on both sides of the equation, maintain equality. If only performed an operation on one side, the equation would become unbalanced, and the equality would be lost.
For example, let's solve the equation 2x + 5 = 11 for x:
1. Start with the equation:
2x + 5 = 11.
2. To isolate the term with x, subtract 5 from both sides:
2x + 5 - 5 = 11 - 5.
This simplifies to:
2x = 6.
3. Finally, divide both sides by 2 to solve for x:
(2x) / 2 = 6 / 2.
This gives the solution:
x = 3.
If only subtracted 5 from one side of the equation, the equality would be broken, and the solution would be incorrect. By performing the same operations on both sides, maintain the balance and validity of the equation.
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The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. What is the best predicted value for y given x = 64? Assume that the variables x and y have a significant correlation.
Age, x 38 41 45 48 51 53 57 61 65
Pressure, y 116 120 123 131 142 145 148 150 152
Using linear regression, the best predicted value for systolic blood pressure (y) given age (x) = 64 is approximately 151.63 mmHg.
To determine the best anticipated value for y given x = 64, we can use linear regression.
The correlation coefficient, r, is first calculated using the formula: r = [(xi - X)(yi - Y)] / [sqrt(xi - X)**sqrt(yi - Y)**sqrt(r)]
where X and Y are, respectively, the sample means of x and y.
Using the supplied data, we have:
X = (38+41+45+48+51+53+57+61+65)/9 = 51
Y = (116+120+123+141+142+145+148+150+152)/9 = 136 xi - X - yi - Y = 464 xi - X - yi - Y - xi - xi - xi - xi - xi - xi - xi - xi - xi - xi
The result is: r = 464 / [sqrt(1120) * sqrt(2804)]. ≈ 0.942
Given the strong correlation between the variables, we can apply linear regression to choose the line that best fits the data: y = a + bx, where a denotes the y-intercept and b the slope of the line. The formulas below can be used to determine the values of a and b.
Where Sx and Sy are the sample standard deviations of x and y, respectively, b = r * (Sy/Sx) a = Y - b*X.
Using the supplied data, we have:
sqrt[(xi - X)2/(n-1)] = Sx = sqrt(1120/8) ≈ 11.83
Sqrt[(yi - Y)2/(n-1)] = Sy = sqrt(2804/8) ≈ 9.38
We thus have:
A =Y - b*X - 69.19 b = r * (Sy/Sx)
Therefore, y = 69.19 + 1.28x is the line of best fit.
We add x = 64 to the equation to determine the best anticipated value for y given that x = 64:
y = 69.19 + 1.28(64) ≈ 151.63
As a result, 151.63 mmHg is the value for y that can be best predicted for x = 64.
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use given transformation to evaluate the integral: z z r (x − 3y) da where r is the triangular region with vertices (0, 0),(2, 1) and (1, 2).; x = 2u v, y = u 2v.A) 208B) 52C) 343D) 42E) 312
The value of the integral is 208. The correct answer is (A) 208.
To evaluate the integral using the given transformation, we need to find the Jacobian determinant of the transformation and apply it to the integrand.
The given transformation is:
x = 2uv
y = u^2v
To find the Jacobian determinant, we compute the partial derivatives of x and y with respect to u and v:
∂x/∂u = 2v
∂x/∂v = 2u
∂y/∂u = 2uv
∂y/∂v = u^2
The Jacobian determinant (|J|) is the determinant of the matrix of these partial derivatives:
|J| = |∂x/∂u ∂x/∂v|
|∂y/∂u ∂y/∂v|
= |2v 2u|
|2uv u^2|
= 4uv^2 - 4u^2v
Now, let's rewrite the integral using the given transformation:
∬(x - 3y) da = ∬(2uv - 3u^2v) |J| dudv
The limits of integration for u and v are determined by the triangular region r with vertices (0, 0), (2, 1), and (1, 2).
Setting up the integral with the limits of integration:
∫[0 to 2]∫[0 to 2-u] (2uv - 3u^2v)(4uv^2 - 4u^2v) dudv
Evaluating the integral, we get:
= ∫[0 to 2] [∫[0 to 2-u] (8u^2v^3 - 20u^3v^2 + 12u^4v) dv] du
Solving the inner integral:
= ∫[0 to 2] [2u^2(2-u)^4 - (20/3)u^3(2-u)^3 + 2u^4(2-u)^2] du
Evaluating the integral, we get:
= 208
Therefore, the value of the integral is 208. Thus, the correct answer is (A) 208.
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If the Canadian dollar buys 82¢ in US currency, what would it cost, in Canadian dollars to buy a scooter advertised for $164. 00 in the USA?
HELP ME PLEASE
Answer: 200
Step-by-step explanation:
1 Canadian dollar buys 82c in US
1 dollar = 100c
=> 100 c Canadian = 82c in US
=> 100 Canadian dollar buys 82 dollar in US
Canadian dollar required to buy 82 dollar in US = 100
=> Canadian dollar required to buy 1 dollar in US = 100/82
=> Canadian dollar required to buy 164 dollar in US = 164 x 100/ 82
= 2 x 100
= 200 $
cost 200 in Canadian dollars to buy a Walkman advertised for $164.00 in the USA
According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. how many cruise passengers must there have been in 2017? write your answer in millions and rounded to two decimal places.
The number of cruise passengers must there have been in 2017 is 26.7 million.
What is percentage?The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.
Now according to the question;
Let x represent the total number for cruise passengers during 2017.
In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.
So, 106.7 % of x = 28.5
\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)
Multiplying both sides by 100;
\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)
Dividing both sides by 106.7;
\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)
x = 26.7
Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.
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which value of x satisfies the equation below? 4x-7+25
Answer: =4x+18
Step-by-step explanation:
Let's simplify step-by-step.
4x−7+25
=4x+−7+25
Combine Like Terms:
=4x+−7+25
=(4x)+(−7+25)
=4x+18
Answer:
=4x+18
Can You Help Me!!!!!!!
Temperatures in °F can be converted in °C
Answer:
\( \frac{9c + 160}{5} \)
Step-by-step explanation:
C = 5(F - 32)/9
so we do a little algebra here
9C = 5F - 160
we move both side
5F - 160 = 9C
5F = 9C + 160
so in the end
F =
\( \frac{9c + 160}{5} \)
a = 9
b = 160
c = 5
Answer:
\(F=\frac{9C+160}{5}\)
Step-by-step explanation:
\(C=\frac{5(F-32)}{9}\)
Multiply both sides with 9.
\(9C=5(F-32)\)
Use distributive property.
\(9C=5F-160\)
Add 160 to both sides.
\(9C+160=5F\)
Divide 5 to both sides.
\(\frac{9C+160}{5}=F\)