Answer:
x = 12
Step-by-step explanation:
\( {x}^{2} = {6}^{2} + {( \sqrt{18 \times 6} )}^{2} \\ \\ {x}^{2} = 36 + {( \sqrt{108} )}^{2} \\ \\ {x}^{2} = 36 + 108 \\ \\ {x}^{2} = 144 \\ \\ x = \sqrt{144} \\ \\ x = 12\)
The Six Sigma DMAIC approach is the best way to attack all problems and should be employed whenever possible. true or False?
False. The Six Sigma DMAIC approach is a problem-solving methodology used to improve processes and reduce defects, but it is not the only tool available.
What is Sigma?Sigma is a statistical measure of dispersion, which is used to measure the variability or spread of a given data set. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Sigma is commonly used in data analysis and is used to identify outliers and other patterns in data sets.
Depending on the nature of the problem, other problem-solving techniques may be more appropriate. For example, if the goal is to improve customer service, a method such as Lean Six Sigma, which focuses on customer value, may be more effective. Similarly, if the goal is to create new products or services, a design thinking approach could be used. In any case, it is important to assess the situation and choose the best course of action for the specific problem.
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What is the solution set for this quadratic equation 2(x-3)^2-4=28
Answer: x₁=7, x₂=-1
Step-by-step explanation:
(x-3)^2= x^2-6x+9
2(x^2-6x+9)=28+4
x^2-6x+9=16
x^2-6x-7=0
you use the quadratic equation will give you 2 roots,
x₁=7, x₂=-1
A poster whose area is 180 square inches, has 1 inch margin at bottom and on sides 2 inch margin at the top. What are its dimensions for which printed area is maximized?
The dimensions for which the printed area is maximized are 16.432 × 10.954 in².
let the height of the poster = x inches
area of the poster = 180 in²
thus, its width is 180/x inches.
The printed area has a height of x - 3 inches due to the 1-inch bottom margin and 2-inch top margin.
The sides have a margin of 1 inch, so the width of the printed area is:
180/x - 2
the area of printed area A is given by the formula of a rectangle,
A = height × width
A = (x-3)(180/x - 2)
A = 180 - 2x - 540/x + 6
the maximized area is when dA/dx = 0
dA/dx = - 2 - 540(- 1/x²) = 0
540/x² = 2
x = √270
hence height = √270 = 16.432 inches,
and width = 180/√270 = 10.954 inches.
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Given the two points what is the slope of the line?
(4,2) (10.4)
\(m = \frac{y2-y1}{x2-x1}\\ m=\frac{4-2}{10-4} \\m = \frac{2}{6} \\\\m=\frac{1}{3}\)
Therefore, the slope of the line is 1/3. In case if you want the equation too.
\(y=mx+b\\y=\frac{1}{3}x+b\\ 2=\frac{1}{3}(4)+b\\ 2=\frac{4}{3}+b\\ b=-\frac{4}{3}+2\\ b=-\frac{4}{3} +\frac{6}{3}\\ b=\frac{2}{3}\)
Therefore, the equation is y=1/3x+2/3
Question 5 of 15
Solve: 6+ x/2 = 1/4 (x - 4) - 1
OA. There are infinitely many solutions.
OB. x= -16.
OC. x= 32
OD. X=-32
PLEASE HELP ME HURRY!!! :(
For the given equation 6+(x/2)=1/4(x-4)-1 the solution is x= -32. So, option D is correct.
What is a solution?A solution is a process of giving the unknown variables values that make the equation's equality true. A value or group of values (one for each unknown) that, when substituted for the unknowns, cause the equation to produce an equality is known as a solution.
In order to build an equation, the equal sign is placed between two numerical or variable expressions, as in 3x+5=11. The solution to an equation is a number that may be used as the variable to generate a true number statement. 6+5=11 is true, as stated by the formula 3(2)+5=11. The solution is consequently 2,
6+(x/2)=1/4(x-4)-1
(12+x)/2=(x-4-4)/4
24+2x=x-8
x= -32
Therefore, option D is correct.
For the given equation 6+(x/2)=1/4(x-4)-1 the solution is x= -32. So, option D is correct.
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7,499,846 rounded to the nearest 1,000,000
Answer:
7,000,000 :)
Hope this helps!
Answer:
7,000,000
Step-by-step explanation:
draining 15 gallons of water from a fish tank
(Write your answer as an integer)
Answer:
-15
Step-by-step explanation:
if its just asking for what number would represent a loss of 15 it would be negative 15
i dont know if there's more to the problem or not
Answer:
-15
Step-by-step explanation:
This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,
hope this helps!
solve the following using BEDMAS
5X4 -(3+1)2÷2
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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i need help asap!
how do i answer these
photo is attached with questions
Answer:
a) y²=x
b)(y-2)²=x
c)(3y)²=x
d)(y-2b)²=x
e)square root A =x
f)(P-2)²=x
g) square root (3H-6)=x
h) square root(5T-2)=x
Step-by-step explanation:
where I have written square root use the square root symbol.
5+2x+6=x +10
Solve this equation and show ur work
Answer:
x = -1
Step-by-step explanation:
5 + 2x + 6 = x + 10
11 + 2x = x + 10
-x -x
11 + x = 10
-11 -11
x= -1
Answer:
1
1
+
2
=
+
1
0
Step-by-step explanation:
it was the aaaa the we as be the
errors that pertain to anything in the research process except sample size are known as: a. intentional field work error. b. non-sampling error. c. field error. d. sampling error.]
Errors that pertain to anything in the research process except sample size are known as option b. non-sampling error.
Non-sampling errors are errors that occur in the research process other than those related to sample size. These errors can arise at any stage of the research process, including data collection, data processing, analysis, and interpretation. Examples of non-sampling errors include errors in data entry or coding, selection bias, measurement bias, interviewer bias, and response bias. Non-sampling errors can have a significant impact on the accuracy and validity of research findings and should be carefully controlled and minimized to the extent possible.
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Patch traveled from his office to the seashore at a speed of 62 mph. He traveled the same route on his way back to the office, but on the return trip his speed was 66 mph. If, altogether, Patch spent a total of 4 hours on the road, how many hours did the trip to the seashore take? Round your answer to the nearest hundredth (two decimal places)
Answer:
1.03 hours
Step-by-step explanation:
Let x be the time taken to travel from office to seashore at 62mph
Distance traveled = speed x time = 62x miles
Since both trips together took 2 hours, the time taken for the same distance from seashore to office = 2 - x hours
At a speed of 66 mph, the distance traveled = 66(2-x) = 132 - 66x
Since the distances on each trip are equal:
62x = 132 - 66x
Add 66x to both sides => 62x + 66x = 132 =-66x + 66x
128x = 132
x = 132/128 = 1.03125 hours = 1.03 hours rounded to 2 decimal places
In 2009,the population of brazil was 191.5 million. this represented a decrease in population of $3.7%from 2000 .what was the population of brazil in 2000 round to the nearest tenth of a million
Population in the year 2000= 198.85million
From the question, we get to know that the population in 2009 was 191.5 million.
And we have to find the population of the year 2000 which is 3.7%more than the 2009 population.
So let us take the population of the year 2000 to be x.
From the above, we can form an equation:
(population of year 2000 * ( 100-3.7 /100) = (population of year 2009)
i.e., x * 100-3.7/ 100 = 191.5
x * 96.3 = 191.5
x = 198.85
So 198.85 is the population of 2000.
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(b) is there a walk of length 4 from vertex 4 to vertex 5 in g? (hint: a4 = a2 · a2 .)
Yes, The entry in the 4th row and 5th column of A4 is 1, which means there is a walk of length 4 from vertex 4 to vertex 5 in graph G.
The given adjacency matrix A has 5 rows and 5 columns. The entry in row i and column j represents the edge between vertices i and j. For example, A[1][2] = 1, which means there is an edge from vertex 1 to vertex 2.
To find whether there is a walk of length 4 from vertex 4 to vertex 5 in graph G, we need to examine the entry in the 4th row and 5th column of the matrix A4.
However, we are only given the matrices A, A2, and A3, but not A4. We can calculate A4 using matrix multiplication, specifically by multiplying A3 and A:
A4 = A3 x A
Multiplying A2 by A, we get A3:
A3 = A2 x A
Substituting A3 in the formula for A4, we get:
A4 = (A2 x A) x A
To find the entry in the 4th row and 5th column of A4, we calculate the dot product of the 4th row of A2 and the 5th column of A:\
A2[3][0] x A[0][4] + A2[3][1] x A[1][4] + A2[3][2] x A[2][4] + A2[3][3] x A[3][4] + A2[3][4] x A[4][4]
Simplifying this expression, we get:
1 x 0 + 0 x 0 + 0 x 0 + 1 x 1 + 0 x 0 = 1
Therefore, the answer to the question is yes.
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Complete Question:
A directed graph G has 5 vertices, numbered 1 through 5. The 5 x 5 matrix A is the adjacency matrix for G. The matrices AP and As are given below.
0 1 0 0 0 0 0 0 0 A2 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0
Use the information given to answer the questions about graph G.
(a) Is there a walk of length 4 from vertex 4 to vertex 5 in G?
When a ball is thrown or kicked, the path it travels is shaped like a parabola. Suppose a football is kicked from ground level, reaches a maximum height of 25 feet, and hits the ground 100 feet from where it was kicked. Assuming that the ball was kicked at the origin, write an equation of the parabola that models the flight of the ball.
The equation of the parabola that models the flight of the ball is y = ax^2 + 25, where a can be any non-zero real number.
The equation of the parabola that models the flight of the ball can be expressed in the standard form: y = ax^2 + bx + c.
Since the ball is kicked from the origin, the equation simplifies to y = ax^2 + c.
To find the values of a and c, we can use the given information. The ball reaches a maximum height of 25 feet, which means the vertex of the parabola is at the point (0, 25). This gives us c = 25.
Now we need to determine the value of a. Since the maximum height occurs at the vertex, the x-coordinate of the vertex is 0. Additionally, we know that the ball hits the ground 100 feet from where it was kicked. The x-coordinate at that point is 100. Therefore, we can use the vertex form of the parabola equation, which is x = -b/2a, to find a.
Substituting the known values, we have 0 = -b/2a, which implies b = 0. Therefore, a can be any non-zero value.
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Find the scalar and vector projections of b onto a. a=⟨−5,12⟩, b=⟨4,6⟩
Step-by-step explanation:
The scalar projection of a vector b onto a vector a is given by the dot product of b and the unit vector of a:
p = (b · u) * u
where u is the unit vector of a, and can be found by dividing a by its magnitude:
u = a / ||a||
The vector projection of b onto a is simply the scalar projection scaled by the unit vector:
p = p * u
For the given vectors a = ⟨-5,12⟩ and b = ⟨4,6⟩, we first find the unit vector u:
u = a / ||a|| = ⟨-5,12⟩ / ||⟨-5,12⟩|| = ⟨-5/13,12/13⟩
Next, we find the dot product of b and u:
p = (b · u) = ⟨4,6⟩ · ⟨-5/13,12/13⟩ = (4 * -5/13) + (6 * 12/13) = -20/13 + 72/13 = 52/13
So the scalar projection of b onto a is p = 52/13.
Finally, we find the vector projection by scaling the unit vector u by the scalar projection:
p = p * u = (52/13) * ⟨-5/13,12/13⟩ = ⟨-52/169,104/169⟩
So the vector projection of b onto a is p = ⟨-52/169,104/169⟩.
WILL GIVE BRAINLIEST- Geometric Proofs
Answer:
Angle ACE and Angle ABE are congruent because they both share a side of Line Segment AE
Step-by-step explanation:
a class of 30 kids line up for recess. two of the kids are named mike and ike. how many ways are there for the kids to line up if ike and mike are next to each other in the line? a. 29!/2 b. 2 ⋅ 29! c. 29! d. 30!/2
Answer:
C 29!
Step-by-step explanation:
Because mike and ike are staying together so you would count them as one making the number 29
Not really sure about the explanation I don't know how to explain it but my answer is 100% correct
Which of the following sets of parametric equations represents (x - 1)2 + (y + 4)2 = 9?
the sets of parametric equation that represents (x-1)²+(y+ 4)² = 9 is:
x = 1 + 3 cosθ
y = -4 + 3 sinθ
How to the sets of parametric equation?( x -1)^2 = (r cosθ)^2
x - 1 = r cosθ
= 3 cosθ
x = 1 + 3 cosθ
y + 4 = 3 sinθ
= y = -4 + 3 sinθ
There, the sets of parametric equation that represents (x-1)²+(y+ 4)² = 9 is:
the sets of parametric equation that represents (x-1)²+(y+ 4)² = 9 is:
x = 1 + 3 cosθ
y = -4 + 3 sinθ
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The question is incomplete, see missing part in the attached image.
Bonjour vous pouvez m’aider svp j'ai du mal.
Answer:
voir ci-dessous
Step-by-step explanation:
1.
Programme 1: choisi nombre par example, 2, prendre son carré, donc c'est 2²; ajourter5, donc c'est 4+5 =9
Programme 2: choisi nombre par example, 5, ajourter5, donc c'est 5+5 =10; prendre son carré, donc c'est 10²=100
2. f(x)=(x+5)² c'est programme 1; g(x)=x²+5 c'est programme 2
3. programme pour h(x) = (x+3)²:
choisir un nombreadjouter 3prendre son carrévoila.
What does it equal to?
Answer:
2
Step-by-step explanation:
|x| + |x-2| =
Let x= 1
|1| + |1-2| =
|1| + |-1| =
The absolute value means take the non negative value
1 + 1 = 2
Please help me with this question:
Pencils are sold in boxes of 10.
Erasers are sold in boxes of 14.
A teacher wants to buy the same number of pencils and erasers.
Work out the smallest number of boxes of each item she should buy.
Answer:
you want 140.of each so that's
so you want 14 boxes of pencil and 10 boxes of erasers
-0.8(q - 0.5)= - 2.6 what is a
Answer:
3.75
Step-by-step explanation:
-0.8(q-0.5)=-2.6
-0.8q+0.4=-2.6
-0.8q=-2.6-0.4
-0.8q=-3
0.8q=3
q=3/0.8
q=3.75
The quotient of k and 9 is greater than 1/3
Let f(x) = 3x2 + sin(6x) - 2. Estimate the instantaneous rate of change at x = -10 using a forward difference quotient and letting h = 0.01 (so the interval is 0.01)
the instantanous rate of change at x = -10 is estimated to be -59.9
How to estimate the instantaneous rate of change?
The rate of change at x is defined by the difference quotient:
( f(x + h) - f(x))/h
In this case, we need to use the function:
f(x) = 3x^2 + sin(6x) - 2
at x = -10
Where we should use the value of h = 0.01, replacing all that in the difference quotient we get:
( 3(-10 + 0.01)^2 + sin(6(-10 + 0.01)) - 2 - (3(-10)^2 + sin(6*-10) - 2))/0.01
( 3(-9.99)^2 + sin(6(-9.99)) - 2 - (3(-10)^2 + sin(6*-10) - 2))/0.01 = -59.9
We conclude that the instantanous rate of change at x = -10 is estimated to be -59.9
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CHOOSING BRAINLIEST PLEASE HELP
Answer:
The answer is the 2nd 1
Step-by-step explanation:
It's a basic graph
8. The length of a side and the corresponding height
of a triangle are (x+3) cm and (2x – 5) cm respectively.
Given that the area of the triangle is 20 cm”, find
the value of x.
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the height )
Here b = x + 3 and h = 2x - 5 , thus
\(\frac{1}{2}\) (x + 3)(2x - 5) = 20 ( multiply both sides by 2 )
(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , hence x = 5
Write an equation of the line passing through the point (2, -9) that is perpendicular to the line V=x+6.
The equation of the line that is perpendicular to y = x + 6 is expressed as: y = -x - 7
How to Write the Equation of a Line?The equation of a line can be written as y = mx + 1. The value of m is the slope while the value of b is the y-intercept.
The slopes of two lines that are perpendicular to each other are negative reciprocals. This means, if we multiply their slope values together, we will get -1.
Given the line, y = x + 6, the slope of the line is 1. The slope of the line it is perpendicular to is -1, because -1 is the negative reciprocal of 1.
Substitute m = -1 and (x, y) = (2, -9) onto y = mx + b to find the value of b:
-9 = -1(2) + b
-9 = -2 + b
-9 + 2 = b
-7 = b
b = -7
To write the equation of the perpendicular line, substitute m = -1 and b = -7 into y = mx + b:
y = -x - 7
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What is the expression and value of “six less than the quotient of a number and two, increased by ten” when n = 20?
Answer:
\(\frac{n}{2} - 6 + 10\)
n=20; The value of the expression is 14
Step-by-step explanation:
six less than means we're subtracting 6. So,
-6
the quotient means division. of a number and 2 means, the denominator is two. So,
\(\frac{n}{2}\)
increased by ten means we're adding 10. So,
+10
Now put it all together:
\(\frac{n}{2} - 6 + 10\)
Substitute n with 20:
\(\frac{20}{2} - 6 + 10\)
\(10 - 6 + 10\)
\(4 + 10\)
\(14\)
Describe three situations in which rounding could come in handy.
Answer:
1. They help you with estimation
2. It makes numbers simpler and easier to do
3. Makes mental maths much quicker