Answer:
127 degrees.
Step-by-step explanation:
These angles are corresponding angles so they have the same measurement.
Answer:
127 degrees
Step-by-step explanation:
These are corresponding angles,
First, number the angles
There should be 8.
The angle where it has 127 degrees is angle no.2 which is exterior
The angle where the question mark is angle no.6
So the answer is 127 because angle 2 corresponds with 6,
Here is also a helpful key for corresponding angles:
Angles 2 and 6 Correspond
Angles 1 and 5 correspond
Angles 3 and 7 correspond
Angles 4 and 8 correspond
They shall be equal
Notes they are the same obtuse angle too!
Please help me with this problem...It is a quick problem
Answer:
D
Step-by-step explanation:
Answer:
the answer is D
the climate and weather are two different things
weather is daily
and climate is like winter or spring and summer or fall
so the answer is D
Step-by-step explanation:
Q2- write down the answer of the following
1- Specialize formula (3) to the case where:
Rc(t)=e-λct And
Rv(t)=e-λct
2-derive expressions for system reliability and system mean time
to failure
3- t
The following are the answers for the given questions: 1. Specialized formula (3) to the case where: Rc(t) = e-λct and Rv(t) = e-λct.
What are the answers?The specialized formula (3) for the given values of Rc(t) and Rv(t) can be calculated as follows:-
R(t) = e-(λc + λv)t2.
Derive expressions for system reliability and system mean time to failure.
The expressions for system reliability and system mean time to failure can be calculated as follows:-
System Reliability(R(t))= Rc(t) + Rv(t) - Rc(t) * Rv(t).
System Mean Time To Failure(MTTF) = 1 / (λc + λv)3.
We need more information about what to find at t because there is no information given in the question.
So, we can't say what to find at t without any relevant information.
Please provide the relevant information about t so that we can provide you with the answer to your question.
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Which row of pascal’s triangle would you use to expand (2x 10y)15? row 10 row 12 row 15 row 25
Correct option is C. Row 15 of pascal's triangle will be used.
Pascal's triangle:
1 n = 0 , Row = 0
1 1 n = 1 , Row = 1
1 2 1 n = 2 , Row = 2
:
.........
.......
For n = 0, Row number 1
For n = 1, Row number 2
For n = 2, Row number 3
We make pascal's triangle but sum of above two number, write below.
As we can see in pascal's triangle.
Exponent represent the number of row.
If binomial has exponent n then nth row of pascal's triangle use.
For
Here power is 15
So, we have to use 15 row of pascal's triangle.
Hence, Row 15 is correct
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Choose the product of –3y2(–4y3 + y – 9).
A. –7y5 – 3y3 – 27y2
B. 12y6 – 3y2 + 27y2
C. 12y6 – 3y2 + 12y2
D. 12y5 – 3y3 + 27y2
Answer:
D
-3 * (-4) matches, as well as the powers (I guess you wanted to communicate that these are powers, but it would also be correct if these where factors)
the linear regression equation, y = a + bx, was estimated. the following computer output was obtained: in the regression above, the value of the r2 statistic indicates that
The value of the R² statistic in the linear regression equation, y = a + bx, indicates the proportion of the variance in the dependent variable that is predictable from the independent variable.
The closer the R² value is to 1, the stronger the relationship between the independent and dependent variables.
In the computer output obtained, the value of the R² statistic can be found under the "Model Summary" section. If the R² value is close to 1, it indicates that the independent variable is a good predictor of the dependent variable and that the regression model fits the data well. Conversely, if the R² value is close to 0, it indicates that the independent variable is not a good predictor of the dependent variable and that the regression model does not fit the data well.
In conclusion, the R² statistic is used to measure the strength of the relationship between the independent and dependent variables in a linear regression equation. It indicates the proportion of the variance in the dependent variable that is predictable from the independent variable and is used to assess the fit of the regression model.
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what is integral of 1/ (x times square root of (x^2-a^2
The integral of 1/ (x √(x²-a²)) is (1/2) ln[(x/ a) + √((x/a)² - 1)] + (1/2) sin⁻¹(x/a) + C, where C is a constant of integration.
To find the integral of 1/ (x √(x²-a²)), we can use a trigonometric substitution.
First, let's rewrite the denominator as:
√(x² - av) = a sin(θ)
where θ is an angle in the right triangle formed by a, x, and √(x² - a²).
Differentiating both sides with respect to x, we get:
(x / √(x² - a²)) dx = a cos(θ) dθ
Solving for dx, we get:
dx = (a cos(θ) / √(x² - a²)) dθ
Substituting this into our integral, we get:
∫ [1 / (x √(x²-a²))] dx = ∫ [1 / (a² sin(θ) cos(θ))] (a cos(θ) / √(x² - a²)) dθ
Simplifying, we get:
∫ [1 / (x √(x²-a²))] dx = ∫ [1 / (a sin(θ) cos(θ))] dθ
We can use the trigonometric identity:
1 / (sin(θ) cos(θ)) = 1 / (2 sin(θ) cos(θ)) + 1 / 2
to rewrite the integral as:
∫ [1 / (x √(x²-a²))] dx = (1/2) ∫ [1 / (sin(θ) cos(θ))] dθ + (1/2) ∫ dθ
Using the substitution u = sin(θ), we get:
∫ [1 / (x √(x²-a²))] dx = (1/2) ∫ [1 / (u(1-u²\()^{0.5}\))] du + (1/2) θ + C
where C is the constant of integration.
We can solve the first integral using a substitution of v = u^2, and then use the natural logarithm to obtain:
∫ [1 / (x √(x²-a²))] dx = (1/2) ln[(u + (1-u²\()^{0.5}\)) / u] + (1/2) θ + C
Substituting back in terms of x, we get:
∫ [1 / (x √(x²-a²))] dx = (1/2) ln[(x/ a) + √((x/a)² - 1)] + (1/2) sin⁻¹(x/a) + C
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Calculate the a) total tax rate, and b) sales tax.
The total tax rate and the sales tax will be given below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).
The table complete table is given below.
Item TSP STR CTR TTR ST
Clothing $81.39 3% 0% 3% $2.44
Cell phone $159.95 5% 0% 5% $7.99
MP3 player $195.55 4% 2% 6% $11.73
Computer $1599.75 4.88% 1.50% 6.38% $102.06
Take-out $49.85 8.13% 2.50% 10.63% $5.29
Pickup truck $38,526.42 6.50% 1.25% 7.75% $2985.79
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which of the following subtractions is closest to 809-392
a=800-300
b=800-400
c850-400
d=900-300
What are the solutions to the quadratic equation x^2 – 16 = 0?
Answer:
x=4
Step-by-step explanation:
x²-16=0
x²=0+16
x²=16
x=√16
x=4
Someone please help!!!
Answer:
See attached
Step-by-step explanation:
-> We can ignore everything in every option except the last line where it gives us the slopes. Then we line up the slopes with the options.
-> Use rise/run to find the slope
[] Pick a point, count up and over until you are at the next point
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which of these strategies would eliminate a variable in the system of equations? 5x + 3y = 9
4x - 3y = 9 Choose all answers that apply: (Choice A) A Subtract the top equation from the bottom equation. (Choice B) B Add the equations. (Choice C) C Subtract the bottom equation from the top equation.
Answer:
(Choice B) Add the equations
Step-by-step explanation:
The equations that were given are:
\(5x + 3y = 9 \\ 4x - 3y = 9\)
If we add the equequatiothen the y variable would be eliminated:
\( +3y + (-3y) = 0\)
teachers get courses assigned to teach each semester. for each instructor, there are the courses that the instructor can teach based on the skill set of the instructor, and there are courses that the teacher would rather teach all the time, closer to their specialization. 282 probability for data scientists to be able to teach in any department, a teacher must be able to teach more than the favorite courses. let x denote the proportion of teachers who teach the whole spectrum of courses taught in a department, and y the proportion of teachers who teach the courses they specialize in. let x and y have the joint density function f (x,y)=2(x+y), 0
The probability that a teacher can teach in any department is 2/3.
How to find the probabilityTo find the probability that a teacher can teach in any department,
find the proportion of teachers who teach the whole spectrum of courses taught in a department, which is denoted by x.
Let's denote the proportion of teachers who can teach their favorite courses by y.
The joint density function of x and y is given by
\(f(x,y) = 2(x+y), 0 < x < 1, 0 < y < 1, and x + y < 1\)
To find the probability that a teacher can teach in any department, integrate the joint density function over the region where x > y:
\(P(x > y) = \int\int(x > y) f(x,y) dxdy\)
Split the integration into two parts: one over the region where y varies from 0 to x, and another over the region where y varies from x to 1:
\(P(x > y) = \int[0,1]\int[0,x] 2(x+y) dydx + \int[0,1]\int[x,1-x] 2(x+y) dydx\\P(x > y) = \int[0,1] x^2 + 2x(1-x) dx\\= \int[0,1] (2x - x^2) dx\\= [x^2 - x^3/3]_0^1\)
= 2/3
Therefore, the probability that a teacher can teach in any department is 2/3.
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7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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What is the solution to the inequality shown? -2(x + 3) < 6 - x x > -12 x < -12 x > 12 x < 12
Answer:
x < -12
Step-by-step explanation:
Given the inequality
-2(x + 3) < 6 - x
Expand
-2x - 6 < 6 - x
Collect the like terms;
-2x + x < 6 + 6
-x < 12
Multiply through by -1
-1(-x) < -1(12)
x < -12
i need help answering
Answer:c
Step-by-step explanation:
AB is a mid segment of the triangle xzy solve for x =(round to 1 decimal place if nessesary)
Answer:
x = 6
Step-by-step explanation:
3x - 1 = 34/2
3x - 1 = 17
3x = 17 + 1
3x = 18
3/3 x = 18/3
x = 6
10-1/2x<-18 which inequality represents the solution to this inequality?
The solution for inequality 10 - 1/2x < -18 is 0 < x < 1/56.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The given inequality is -
10 - 1/2x < -18
Solve the inequality to get the value for x.
First collect all the like terms -
-1/2x < -18 + (-10)
Then use arithmetic operation of addition -
-1/2x < -28
Multiply (-1) to both the sides -
-1/2x × (-1) < -28 × (-1)
1/2x < 28
Then move the coefficient of variable to right hand side of the equation -
x < -1 / (2 × (-28))
Then use arithmetic operation of multiplication and division-
x < 1/56
Therefore, the inequality is 0 < x < 1/56.
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Part A
STOPPING DISTANCE A car's stopping distance d is the sum of the distance traveled during the time it takes the driver to react and the
distance traveled while braking. This is represented as d = vt + where v is the initial velocity in feet per second, t is the driver's reaction time in seconds, u is the coefficient of friction, and g is acceleration due to gravity. Use g = 32 ft /s². v²2μg
a. Assume μ = 0.8 for rubber tires on dry pavement and the average reaction time of 1.5 seconds to complete the table. Round to the nearest tenth.
When v= 15 ft/s stopping distance we get is 26.9 ft. and,
When d= 91.25 ft its velocity we get is 39.9 ft/s.
What is distance?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.
What is stopping distance?The distance traveled between the moment the body decides to stop a moving vehicle and the moment the vehicle comes to a complete stop is known as the stopping distance.
Total stopping distance = d
where, d= vt + (v²/ 2μg)
where v= initial velocity in feet/ s
t= driver's reaction time in seconds
μ= coefficient of friction
we use, g= 32 ft / s²
It is given that average reaction time is 1.5 seconds.
and μ= 0.8
a. we have to calculate stopping distance when v= 15 ft/s ,
putting all the desired values
d= vt + (v²/ 2μg)
d= 15 ft/s * 1.5 sec + (15 ft/s)² / 2 * 0.8* 32 ft / s²
Hence, d= 26.89 ft
Answer should be in nearest tenth so, answer will be 26.9 ft.
when d= 91.25 ft.
putting all the desired values
d= vt + (v²/ 2μg)
91.25 ft = v* 1.5sec + v²/2* 0.8* 32 ft / s²
Multiplying both sides by 51.2
we get,
v² + 77.25v - 4672 =0
hence v= 39.86 ft/s , as another negative one is ignored.
Answer should be in nearest tenth so, answer will be 39.9 ft/s
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How do you determine if an inequality in two variables is true?
The process for resolving linear equations and inequalities in two variables is the same.
What is a System of Equations?
A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model problems when the unknown values can be represented by variables.
Finding the values of the variables employed in a system of equations entails solving the set of equations. While keeping the equations balanced on both sides, we compute the values of the unknown variables. Finding the value of the variable that makes the condition of all the given equations true is the primary goal when solving an equation system.
According to the question:
An ordered pair that is true for the inequality assertion is the answer to a linear inequality in two variables. Let's say that the answer is an ordered pair (x, y) that satisfies the assertion if the linear inequality Ax + By > C has two variables, x and y.
Linear inequalities in two variables are sentences that contain the symbols "" (less than), ">" (greater than), "'" (less than or equal to), and "" (greater than or equal to).
Hence,
The process for resolving linear equations and inequalities in two variables is the same.
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as a teacher assistant you are calculating student greades. one student had the following test scores 85,93.91,81, what is the student's average score?
Answer: 87.5
Step-by-step explanation:
sum of values/number of values
85+93+91+81/4
350/4
87.5
My teenage son consumed 8 donuts in one sitting. 8 donuts is ....(a)a lower bound on how many donuts he can eat in one sitting.(b)an upper bound on how many donuts he can eat in one sitting.(c)the exact number of donuts that he can eat in one sitting.(d)none of the other answers is correct.
The correct option from the given options is (a) a lower bound on how many donuts he can eat in one sitting.
A lower bound is a value which is equal to or greater than the minimum value of a set. In this given scenario, eight donuts are a lower bound on how many donuts a teenager can eat in one sitting. He might be able to eat more than eight donuts in one sitting but he cannot eat less than eight donuts in one sitting because it's a lower limit.
A lower limit or a lower bound is an absolute minimum. It is the minimum number of donuts that the teenager can consume in one sitting. In this scenario, there is a possibility that the teenager might eat more than eight donuts, but the lower limit is eight.
Therefore, the correct option is (a) a lower bound on how many donuts he can eat in one sitting.
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2. One candle, in the shape of a right circular cylinder, has a
height of 7.5 inches and a radius of 2 inches. What is the
volume of the candle? Show your work and round your
answer to the nearest cubic inch.
Use 3.14 for pi
The volume of the candle is approximately 94 cubic inches.
What is circular cylinder?
A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.
The volume of a right circular cylinder is given by the formula:
V = πr²h
Where
V is the volumer is the radiush is the heightSubstituting the given values into the formula, we get:
V = 3.14 x 2² x 7.5
V = 3.14 x 4 x 7.5
V = 94.2
Rounding to the nearest cubic inch, we get:
V ≈ 94 cubic inches
Therefore, the volume of the candle is approximately 94 cubic inches.
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2(3b+6) =78 : Answer is 11
-2(6c-3) = -72 : Answer is 6.5
Check left Side of both equations
Solve each equation in steps:
2(3b + 6) =78 Given3b + 6 = 39 Divide both sides by 23b = 33 Subtract 6 from both sidesb = 33/3 Divide by 3b = 11 Answer-2(6c - 3) = -72 Given6c - 3 = 36 Divide both sides by - 26c = 39 Add 3 to both sidesc = 39/6 Divide by 6c = 6.5 AnswerAnswer:
b = 11 c = 6.5Step-by-step explanation:
1) 2(3b + 6) = 78, value of b?
→ 2(3b + 6) = 78
→ 6b + 12 = 78
→ 6b = 78 - 12
→ 6b = 66
→ b = 66/6
→ [ b = 11 ]
Hence, the value of b is 11.
2) -2(6c - 3) = -72, value of c?
→ -2(6c - 3) = -72
→ -12c + 6 = -72
→ -12c = -72 - 6
→ -12c = -78
→ c = (-78)/(-12)
→ c = 78/12
→ [ c = 6.5 ]
Hence, the value of c is 6.5.
2. Explain how the graph of x > 5 is different from the graph of x 5.
Answer:
Step-by-step explanation:
The graph of x = 5 is a solid, vertical line through (x,0).
The graph of x > 5 is a dotted, vertical line through (5,0) , and the area to the right of the dotted line is shaded.
Thad is 4 1/6 feet tall. If he grows 1/4 foot next year, how tall will thad be?
Thad would be 4 5/12 feet next year
What are fractions?Fractions are defined as the part of a whole number, a whole variable or a whole element.
In mathematics, there are different fractions,
These fractions are listed as;
Mixed fractionsSimple fractionsProper fractionsImproper fractionsComplex fractionsFrom the information given, we have that;
Thad is 4 1/6 feet tall.
Next year he add 1/4 foot
Convert to improper fraction
25/6 + 1/4
Find the LCM, we have;
50 + 3/12
53/12
4 5/12 feet
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Mrs. Pearson wants to make Madeleines for her son's birthday at school. The recipe she has
only makes 12 Madeleines, but she needs to make 36 Madeleines. What conversion factor
should she use?
The conversion factor to use is 3
How to determine the conversion factor to usefrom the question, we have the following parameters that can be used in our computation:
Available recipee = 12 Madeleines
Required receipee = 36 Madeleines
Using the above as a guide, we have the following:
Conversion factor = Required receipee/Available recipee
substitute the known values in the above equation, so, we have the following representation
Conversion factor = 36/12
Evaluate
Conversion factor = 3
Hence, the Conversion factor is 3
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Identify two angles that are marked congruent to each other on the diagram below.
The angle ONK is congruent to angle NKO
How to identify two angles that are marked congruent to each other on the diagram?In a diagram, congruent angles are identified by the same mark
This means that angles that have the same marks are congruent
From the diagram, we have:
Angles ONK and NKO have the same single mark
Hence, the angle ONK is congruent to angle NKO
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What is the area of this trapezoid
Consider the function. f(x, y) = 3(x + 1)y2 Identify the point(s) on the graph off at which the tangent plane is horizontal. a. (0, y) for all y b. (x,0) for only x ≥ 0 c. (0,3) d. (3,0) e. (x,0) for all x
For the given function correct option is (e).
We need to identify the point(s) on the graph of f at which the tangent plane is horizontal.
The function is given by:
f(x, y) = 3(x + 1)y²
For a function of two variables z = f(x,y), the equation of the tangent plane at a point (x0, y0, z0) is given by:
z = f(x0, y0) + fx(x0, y0)(x - x0) + fy(x0, y0)(y - y0)
Where fx(x0, y0) and fy(x0, y0) are the partial derivatives of f(x, y) with respect to x and y, respectively.
For the given function:
f(x, y) = 3(x + 1)y²fx(x, y) = 3y²fy(x, y) = 6(x + 1)y
Using the formula, we have:
z = 3(y0²)(x - x0) + 6(x0 + 1)y0(y - y0) + 3(x0 + 1)y0²
Thus, the tangent plane is horizontal when fy(x0, y0) = 0.
Therefore, the point(s) on the graph of f at which the tangent plane is horizontal is(are):
(x,0) for all x. Hence, the correct option is e.
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For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. (a) A circle with radius 2 and center (3, 2).
(b) A circle centered at the origin with radius 1.
The equation of circle for both the parts will be as,
(a) (x-3)² +(y-2)²= 4
(b) x²+y² = 1
What is circle?
A circle may be a form consisting of all purposes in a very plane that ar at a given distance from a given point, the centre. Equivalently, it's the curve copied out by a point that moves in a very plane so its distance from a given point is constant.
Main Body:
(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.
Circle centered at (h, k) with radius r:
(x -h)² +(y -k)² = r²
The given circle is ...
(x -2)² +(y -2)² =2²
(x -2)² +(y -2)² = 4
__
(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:
x²+y² = 1
Hence the equation of circle is such.
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