Answer:
270 cm
Step-by-step explanation:
LA = (6+6+6)15
LA = 18(15)
LA = 270
I need help on this math question
Answer:
\(3\sqrt{2}+3\sqrt{7}\)
Step-by-step explanation:
looks like your question don't need a step.
<3
Red
Attachment no explanation only answer
Answer:
y=x+6
Step-by-step explanation:
The slope is 1 and the y-intercept is 6, so we get:
y=x+6 (from the formula y=mx+b)
Answer:
Hey!
Your answer is y=x+6
Step-by-step explanation:
The gradient is x because the line goes up in 1's...
So 1 / 1 = 1
The y-intercept is 6 (that's where the line crosses the y axis...
Hope this helps!
Help i will mark it brainliest if its correct question is in picture :)
Answer:
Step-by-step explanation:
25 miles per gallon
225 for 9 gallons
Answer:
Part A 25 miles per galloon
Part B 225
Step-by-step explanation:
NEED QUICKThe sum of x and 3 is the same as the 5 less than 3x. Find x
Let's begin by identifying key information given to us:
\(\begin{gathered} x+3=3x-5 \\ \text{Put like terms together, we have:} \\ \text{Subtract ''x'' from both sides, we have:} \\ x-x+3=3x-x-5 \\ 3=2x-5 \\ Add\text{ ''5'' to both sides, we have:} \\ 3+5=2x-5+5 \\ 8=2x\Rightarrow2x=8 \\ 2x=8 \\ \frac{2}{2}x=\frac{8}{2} \\ x=4 \end{gathered}\)\( \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}}\)
\( \mathsf \blue{sketch \: the \: graph \: of}\)
\( \mathsf \blue{y \geqslant x + 1}\)
Answer:
Graph attached →
Step-by-step explanation:
Which statement is true??
PWEASE HELP ME, AREA OF A CIRCLE
Answer:
Step-by-step explanation:
A= πr2 = π·72 ≈153.93804
Step-by-step explanation:
The formula for an area of a circle is: π\(r^{2}\)
In this instance you are using 3.14 for pi.
3.14 (\(7^{2}\))= 153.86
Area= 153.86\(ft^{2}\)
help me pls this question got me
Answer:
12Mph
Step-by-step explanation:
I already did this question it is 12 Mph which can be done by taking 6 divided by 30, the answer is A
PLS GIVE ME BRAINLIEST
Solve the system of linear equations by graphing.
y=-x+4
y=2x-8
Answer:
Step-by-step explanation:
I graphed these equations on desmos, the solution is the point where they intercept. The point where they intercept or the solution is (4, 0)
y cant people just put the answer y do they have to put all the things like just put a,b,c,d or ect...
what do you mean bruv?
N O R M A L people put the answer up top
a distance is measured as 42.5km correct to 3 significant figures complete the error interval for this statement
The distance of 42.5 km correct to 3 significant figures has an error interval of 42.0 km to 43.0 km.
What is error interval?
The accuracy thresholds that apply when a number has been rounded or shortened are known as error intervals. In other words, they represent the range of values that a number may have taken had it not been rounded off or truncated.
If the distance is measured as 42.5 km correct to 3 significant figures, this means that the last digit is uncertain and could be off by up to 0.5.
To determine the error interval for this statement, consider the range of possible values that could result from the uncertainty in the measurement.
Since the last significant digit is in the ones place, the error interval is ±0.5 km.
Therefore, the error interval is 42.0 km to 43.0 km.
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What does Lie algebra extension mean, with an explanation of the
concept with examples?
Lie algebra extension refers to the process of extending or enlarging a given Lie algebra by adding new elements and defining commutation relations among them. It involves introducing new generators and modifying the structure constants of the algebra to accommodate the additional elements. The extension of a Lie algebra preserves certain algebraic properties and is crucial in the study of symmetries and physical systems.
A Lie algebra is a mathematical structure consisting of a vector space equipped with a bilinear operation called the Lie bracket, which satisfies certain properties. Lie algebras play a fundamental role in various areas of mathematics and physics, particularly in the study of symmetries and Lie groups.
When we talk about a Lie algebra extension, we mean expanding the Lie algebra by introducing new elements or generators that were not part of the original algebra. These new elements are typically added in a way that preserves the Lie bracket structure and commutation relations of the original Lie algebra.
One example of a Lie algebra extension is the extension of the special linear Lie algebra, denoted as sl(n), to the general linear Lie algebra, denoted as gl(n). The special linear algebra sl(n) consists of the set of n×n matrices with trace equal to zero, and it forms a Lie algebra with the commutation relation [X, Y] = XY - YX. To extend sl(n) to gl(n), we include all n×n matrices without any trace restriction. The Lie bracket of gl(n) is then defined as the commutator [X, Y] = XY - YX, which is the same as in sl(n).
Another example is the central extension of a Lie algebra. In a central extension, new central elements, which commute with all other elements, are added to the Lie algebra. These central elements, also known as central charges, provide additional structure and can have physical interpretations. One well-known example is the Virasoro algebra, which is a central extension of the Witt algebra and plays a crucial role in two-dimensional conformal field theory.
Lie algebra extensions are important because they allow us to study more general algebraic structures while retaining the fundamental properties of Lie algebras. They provide a framework for understanding symmetries and transformations in various mathematical and physical contexts.
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If f(x) = 6 cos^2(x), compute its differential df
df = -6 sin^2(x)
Approximate the change in when x changes from x = π/6 to x = π/6 +0.1. (Round your answer to three decimal places)
Rounded to three decimal places, the approximate change in f is Δf ≈ -0.173. To approximate the change in f(x), we need to use the formula for differentials:
df ≈ f'(x)Δx
where f'(x) is the derivative of f(x) and Δx is the change in x.
First, we find f'(x) by taking the derivative of f(x):
f'(x) = -12 cos(x) sin(x)
Then, we plug in the values of x:
f'(π/6) = -12 cos(π/6) sin(π/6) = -6
Next, we calculate Δx:
Δx = π/6 + 0.1 - π/6 = 0.1
Finally, we substitute these values into the formula for differentials:
df ≈ f'(π/6)Δx = -6(0.1) = -0.6
Rounding to three decimal places, the approximate change in f(x) is -0.600.
To compute the differential df for f(x) = 6 cos^2(x), we need to find its derivative with respect to x. Using the chain rule, we have:
df/dx = 12 cos(x)(-sin(x))
Now, we can approximate the change in f when x changes from x = π/6 to x = π/6 + 0.1. Using the formula:
Δf ≈ (df/dx)(Δx)
We can plug in the values for x = π/6 and Δx = 0.1:
Δf ≈ 12 cos(π/6)(-sin(π/6))(0.1)
Δf ≈ 12 * (√3/2) * (-1/2) * 0.1
Δf ≈ -√3/10
Rounded to three decimal places, the approximate change in f is Δf ≈ -0.173.
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for brainiest:):):):):):):):):)
Answer:
1=80%
2=44%
3=11%
4=15
5=30%
6=21%
7=2%
8=9%
Step-by-step explanation:
Hopefully they are all correct but I tried my best
Which is NOT a correct statement about variables?
A) variables are letters or symbols
B) variables can represent unknown quantities
C) variables can appear in numerical expressions
D) variables can represent quantities that change depending on the situation
Answer:
The answer would be C, since numerical expressions only contain numbers.
Answer:
The answer is A even though variables are letters they are not symbols like %,$,# etc. All the other ones are correct besides C. Hope this helps
Step-by-step explanation:
Central Market sells 5 jars of jam for $3.00. Valley Market sells jars of jam at 59 cents per jar. Yasmin bought 10 jars from Central Market, and Nadia bought 10 jars from Valley Market.
Answer:
Yasmin will spend $6
Nadia will spend $5.9
Step-by-step explanation:
Step one:
the cost of 5 jars at Central market is $3
the cost of 1 jar = 3/5= $0.6
60 cents per jar
we are told that Valley Market sells jars of jam at 59 cents per jar.
$0.59
Step two:
If Yasmin buys 10 jars from Central Market,
Yasmin will spend = 10*0.6= $6
If Nadia buys 10 jars from Valley Market.
Nadia will spend = 10*0.59= $5.9
The market difference is 6-5.9= $0.1
88800 divided by 10 to the second power explanation of change in digits
Answer:
4440
Step-by-step explanation:
easy. 10 to the 2nd power is 20 so whats 88800 divided by 20? To find out you use a calculator like i did :). Or you can count by 20's. either way you'll get 4440.
How large should we choose n so that the trapezoid-rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001? (Use the error bound given in Section 5.9 of the course text.)
The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:
Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.
Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.
For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.
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Drag each tile to the table to multiply each row heading by
each column heading.
Answer:
Hey there!
4t(5t)=20t^2
4t(-4)=-16t
5(5t)=20t
5(-4)=-20
Hope this helps :)
Step-by-step explanation:
This is just a matter of multiplication. 4t x 5t = \(20t^{2}\), so that will be in your first box. 4t x -4 = -16t, so that'll be in your second box. 5 x 5t = 25t, so that will be in your bottom-first box, and 5 x -4 = -20, so that will be in your last one.
Jack and Jill are hiking on a mountain. Jack's hike is modeled by the linear equation d=0.7t+3 and Jill's hike is modeled by the linear equation d=−0.7t+3, where d is the distance, in miles, from the base of the mountain and t is the time, in hours, since the start of the hike.
a. What is Jack's rate of change?
b. For Extra Credit, explain how Jack is hiking.
Answer:
a. Jack's rate of change is 0.7 miles per hour
b. Jack is hiking upwards
Step-by-step explanation:
a. 0.7 is his slope (a.k.a change) 0.7 miles because that is how distance is being measured and t is the time in hours
b. since his slope is positive I am assuming that he is going upwards like (/) the line is raising
Giving right answer branleist
a sample of the salaries of assistant professors on the business faculty at a local university revealed a mean income of $124,000 with a standard deviation of $11,800. assume that salaries follow a bell-shaped distribution. use the empirical rule to answer the following questions. approximately what percentage of the salaries fall between $112,200 and $135,800? approximately what percentage of the salaries fall between $100,400 and $147,600? approximately what percentage of the salaries are greater than $147,600?
Approximately 68% of salaries fall between $112,200 and $135,800, 95% between $100,400 and $147,600, and less than 2.5% are greater than $147,600.
The empirical rule, also known as the 68-95-99.7 rule, states that in a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% within two standard deviations, and approximately 99.7% within three standard deviations.
Using this rule, we can answer the following questions:
Approximately 68% of the salaries fall between $112,200 and $135,800, which is one standard deviation below and above the mean, respectively.Approximately 95% of the salaries fall between $100,400 and $147,600, which is two standard deviations below and above the mean, respectively.Since $147,600 is more than two standard deviations above the mean, we can estimate that approximately 2.5% of the salaries are greater than $147,600.Learn more about mean :
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help i’m making brainliest if CORRECT.
Simplify.
–7 – 3x + 5 – 6x
Answer:
-9x-2
Step-by-step explanation:
-7-3x+5-6x
=(-3x-6x) + (-7+5)
=(-9x)+(-2)
= -9x - 2
First, use the associative property of addition to reorder the terms in parentheses. Then, combine like terms and you will get your simplified answer of -9x - 2. Hope this helps!
Friar laurence: these violent delights have violent ends, and in their triumph die, like fire and powder, which, as they kiss consume: the sweetest honey is loathsome in his own deliciousness and in the taste confounds the appetite: therefore love moderately; long love doth so; too swift arrives as tardy as too slow. what do the oxymoron and paradox in this excerpt illustrate about love? only love has the ability to overcome obstacles. nothing good ever comes from truly loving another. loving with restraint is the key to long-lasting love. true love causes one to lose the ability to reason
Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values and ethics perspective, but also from your future perspective.
Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.
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The floor of a storage unit is 15 feet long and 8 feet wide. What is the distance between two opposite corners of the floor?
The distance between two opposite corners of the given floor is 17 feet.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Given that the floor of a storage unit is 15 feet long and 8 feet wide.
Let x would be the distance between two opposite corners of the floor
As per the figure, We have a right triangle with legs 15 and 8 and with hypotenuse x.
According to Pythagoras's theorem,
x² = 15² + 8²
x² = 225 + 64
x² = 289
x = √289
x = 17
Thus, the distance is 17 feet between two opposite corners.
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a rent collector is entitled to 2½% of all rents collected if he collected rents totalling 5000.00 calculate his commission
Answer:
$125
Step-by-step explanation:
a rent collector is entitled to 2½% of all rents collected if he collected rents totaling $5,000.00 calculate his commission:
2 1/2% = 0.025
$5,000 * 0.025 = $125
the loads carried by an elevator are found to follow a normal distribution with a mean weight of 1812 lbs, and a standard deviation of 105.3 lbs. in which interval centered about the mean does the load lie, in 95% of all cases? responses a [1606, 2000][1606, 2000] b [1602, 2000][1602, 2000] c [1606, 2018][1606, 2018] d [1812, 2018][1812, 2018] e [1606, 1812]
The loads carried by an elevator are found to follow a normal distribution with a mean weight of 1812 lbs, and a standard deviation of 105.3 lbs. The answer is c) [1606, 2018].
To answer this question, we need to use the concept of confidence intervals. A 95% confidence interval means that in 95% of all cases, the true population parameter (in this case, the weight of the elevator load) will fall within the interval.
To find the interval centered about the mean, we need to calculate the margin of error first. The formula for margin of error is:
Margin of Error = z*(standard deviation/square root of sample size)
Since we do not have a sample size here, we will use the population standard deviation instead.
For a 95% confidence level, the z-value is 1.96. So, plugging in the values we have:
Margin of Error = 1.96*(105.3/square root of 1)
Margin of Error = 205.97
Now, we can find the interval by adding and subtracting the margin of error from the mean:
Interval = [1812 - 205.97, 1812 + 205.97]
Interval = [1606.03, 2017.97]
Therefore, the answer is c) [1606, 2018].
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Triangle XYZ is similar to Triangle X'Y'Z'.
A. To transform triangle XYZ to AX'Y'Z', following sequence of transformations is applied: Translation, Rotation, Dilation.
What is transformations of triangle?Transformations of a triangle are changes made to the position, size, or orientation of the triangle in a coordinate plane.
There are four types of transformations that can be applied to a triangle.
A. To transform triangle XYZ to AX'Y'Z', the following sequence of transformations can be applied:
Translation: Translate triangle XYZ so that point X coincides with point X'. This can be done by moving the entire triangle 6 units to the left and 8 units up.
Rotation: Rotate the translated triangle around point X' by an angle of 135 degrees in the counterclockwise direction. This can be done by applying a rotation matrix:
[ cos(135) -sin(135) 0 ] [ x ]
[ sin(135) cos(135) 0 ] * [ y ]
[ 0 0 1 ] [ 1 ]
Dilation: Dilate the rotated triangle with center X' by a scale factor of 1/2. This can be done by multiplying the coordinates of each point by 1/2 with respect to point X'.
B. No, a dilation alone is not enough to show similarity of two figures. Similarity of two figures requires that the figures have the same shape but not necessarily the same size. In addition to dilation, the figures could be subject to other transformations such as translation, rotation, and reflection. Therefore, to show similarity between two figures, it is necessary to demonstrate that the corresponding angles of the figures are congruent and that the corresponding sides are proportional.
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please help me!!!!!!
Answer:
Option C
Step-by-step explanation:
Domain is the set of x-values of the function.
Similarly, Range of a function is defined by the set of y-values of the function.
For the given set of domain → {0, 3, 7}
Range of function → f(x) = 2ˣ + 4
x 0 3 7
f(x) 2⁰+ 4 = 5 2³+ 4 = 12 2⁷ + 4 = 132
Therefore, range of the given function will be → {5, 12, 132}
Option C will be the answer.