is (x+1)^2 equivalent to x^2 + 1? explain
Answers
Answer:
No.
Step-by-step explanation:
(x+1)^2=(x+1)(x+1)=x^2+x+x+1=x^2+2x+1
This is different from x^2+1.
Thus, they are not equivalent.
Related Questions
List the factors of the number.
6
and
The factors of 6, from least to greatest, are
Answers
Answer:
1,6 2,3 1,2,3,6
Step-by-step explanation:
Answer:
2and 3
Step-by-step explanation:
because 2 and 3 are the only factors that can get you an answer of 6
Suppose X1,X2,X3 are random variables, each with expected value mand variance v, and cov(Xi,Xj) = c, i not equal j. Calculate the covariance and correlation coefficient of U,V , where U = 2−X1−2X2, and V = 3+3X2−X3.
Answers
To calculate the covariance and correlation coefficient of U and V, we need to first find the expected value and variance of U and V.
What is covariance?The covariance of two variables is a gauge of their relationship. In other words, it is a measure of how much the values of two variables tend to fluctuate together. Positive covariance shows that the values of the two variables tend to rise or decrease together, whereas negative covariance indicates that the values of one variable tend to increase when the values of the other variable drop. In probability theory and statistics, covariance is frequently employed to determine the association between two variables. It is determined by multiplying the variances of the two variables from their respective means and dividing the result by the total number of observations. This metric can be helpful for seeing trends and patterns in data and aiding analysts in forecasting.
How to solve?
The expected value of U is $E[U] = E[2 - X_1 - 2X_2] = 2 - m - 2m = -2m. Similarly, the expected value of V is $E[V] = E[3 + 3X_2 - X_3] = 3 + 3m - m = 4m.
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To calculate the value of covariance and correlation coefficient of U and V, we have to find their expected value along with variance.
What does covariance mean?A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other.
What does the covariance tell us?When one variable changes, covariance shows the link between the other two variables. Both variables are said to have positive covariance if a rise in one causes an increase in the other. Reduced values of one variable also result in reduced values of the other.
for expected value of U ;
= $E[U]
= E[2 - X_1 - 2X_2]
= 2 - m - 2m = -2m.
Similarly, the expected value of V;
= $E[V]
= E[3 + 3X_2 - X_3]
= 3 + 3m - m
= 4m.
now we can easily calculate the covariance and correlation coefficient of U,V.
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(a) Are the axis and angle always uniquely defined for a rotation? If not, explain the conditions under
which the axis and angle are not uniquely defined.
(b) Write the axis-angle representation and the quaternion corresponding to the rotation matrix.
Answers
The axis and angle always uniquely defined for a rotation As we know that, From the Euler's rotation theorem
What is Angle?
An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. Angles formed by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles.
a) As we know that, From the Euler's rotation theorem, we know that any rotation can be expressed as a single rotation about some axis. The axis is the unit vector (unique except for sign) which remains unchanged by the rotation. The magnitude of the angle is also unique, with its sign being determined by the sign of the rotation axis.
b)
\(\sqrt{3/2}x^{2} +1/2(\sqrt{3-1}x^{2} =x^{2} \\\\\sqrt{3/2}x^{2} +\sqrt{3/2} x^{2} - 1/2x^{2} =x^{2}\)
now using x = 0 will get xcube =0 but x cos x square one should be non zero because eigen vector always non zero so take aribatary
A rotation's axis and angle are always uniquely determined. As we know from Euler's rotation theorem,
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 40 N acts on a certain object, the acceleration
of the object is 10 m/s². If the force is changed to 36 N, what will be the acceleration of the object?
Answers
Answer:
The answer to your problem is, F = 15N
Step-by-step explanation:
You have: F = ka
Where F is the force acting on the object, A is the object's acceleration and is the constant of proportionality.
Which will be our letters that we will NEED to use for today.
You can calculate the constant of proportionality by substituting F = 18 and a = 6 into the equation and solving for k: Then we can now figure out the “ formula of expression “
18 = k6
k = \(\frac{18}{6}\)
K = 3
We would need to calculate the force when the acceleration of the object becomes 5 m/s², as following: F = 3 x 5 ( Basic math )
= F = 15
Thus the answer to your problem is, F = 15N
Can some help me I’m in a hurry
Answers
Answer:
a. No
b. 2.25 days
Step-by-step explanation:
The answer is NO due to two different variables in the equation.
What is 44>7+s+26 solution?
Answers
Answer: The inequality of this equation is s < 11.
Sebastian has 12 more trophies than Megan.megan has t trophies.how many trophies does Sebastian have
Answers
Answer:
12 + t
Hope This Helped :)
Answer:
sebastian has 12+t trophies.
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(−4, 2); y=−1/2x+6
Answers
Answer:
y = mx + b
-2 = ½(-4) + 6
Step-by-step explanation:
formula ; y = mx + b
where y = y co-ordinate
m = slope
x = x co-ordinate
b = y intercept
Therefore; y = mx + b
-2 = ½(-4) + 6
How do you determine if a matrix is a linear combination of other matrices?
Answers
To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).
If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.
For example if we have matrices: A, B & C and we can write matrix D as follows:
D = 2A + 3B + CThen D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.
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what is the x coordinate of the point of inflection on the graph of y=1/3x^3+5x^2+24
Answers
Answer: x = -5
Step-by-step explanation:
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
Answers
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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x=-4y-23
2x+2y=-4
solve using linear combination method
Answers
Answer:
(5,7)
x = 5
y = 7
Graph the inequality.
Answers
The graph of the inequality -3x + y ≥ 1 is given below.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality:
-3x + y ≥ 1.
The intercepts are (0, 1) and (-0.33, 0)
The graph of the inequality is given in the attached image.
Therefore, the graph is given.
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what is x??? Please explain.
Answers
Answer:
78°
Step-by-step explanation:
when two lines intersect it creates 4 seperate angles, here it gives us 78°, and we know that the angle across from it is the same, so they equal.
mike has 5 2/3 pounds of sugar. he used 2 4/5 pounds of sugar to make cakes how many pounds of sugar dose he left
Answers
Answer:
\(2\frac{13}{15}\)
Step-by-step explanation:
Given the following question:
\(5\frac{2}{3} -2\frac{4}{5}\)
In order to find the answer to the question we have to subtract the initial amount of sugar by the amount of sugar Mike has left over after baking the cakes.
\(5\frac{2}{3}-2\frac{4}{5}\)
To subtract fractions, we have to convert the mixed numbers into improper fractions and then find the least common denominator (LCD) to solve.
\(5\frac{2}{3} =3\times5=15+2=\frac{17}{3}\)
\(2\frac{4}{5} =5\times2=10+4=\frac{14}{5}\)
\(\frac{17}{3} -\frac{14}{5}\)
Find the least common multiple:
\(LCD=15\)
\(17\times5=85\)
\(3\times5=15\)
\(14\times3=42\)
\(5\times3=15\)
\(\frac{85}{15} -\frac{42}{15}\)
Subtract the numerators:
\(85-42=43=\frac{43}{15}\)
Convert into mixed number:
\(\frac{43}{15} =43\div15=2\frac{13}{15}\)
\(=2\frac{13}{15}\)
Hope this helps.
Write the equation in standard form of the line that passes through the points (7,-3) and (-3,1).
Answers
Answer:
y-intercept form of that equation:
y=-2/5x+b
1=-2/5(-3)+b
1=6/5+b
b=-1/5
y=-2/5x-1/5
standard form:
2/5x+y=-1/5
srry im too busy rn so i couldnt explain very well :/
Step-by-step explanation:
Answer:
Standard Form: 4/10x + y = -0.2
Step-by-step explanation:
(7,-3) and (-3,1)
m = y2 - y1/x2 - x1
m = 1 - (-3)/-3 - 7
m = 1 + 3/-10
m = -4/10
y - y1 = m(x - x1)
y - 1 = -4/10(x + 3)
y - 1 = -4/10x - 1.2
y = -4/10x - 1.2 + 1
y = -4/10x - 0.2
Standard form: Ax + By = C
y = -4/10x - 0.2
4/10x + y = -0.2
describe what is measured by the estimated standard error in the bottom of the independent-measure t statistic.
Answers
The ESE (estimated standard error) in the bottom of the independent-measure t statistic measures the variability in the sample data used to calculate the t statistic and provides information on the precision of the t statistic.
The t statistic is used to compare the difference between two means from independent groups to determine if the difference is significant or not.
The ESE reflects the degree of uncertainty in the difference between the two sample means and is calculated as the standard deviation of the sampling distribution of the difference between the two sample means. The ESE is an estimate of the standard deviation of the population difference and is used to calculate the t statistic.
The ESE is an important measure because it provides information on the precision of the t statistic, which is used to make inferences about the population difference. If the ESE is large, it means that the sample difference is less precise and the t statistic is less significant. If the ESE is small, it means that the sample difference is more precise and the t statistic is more significant.
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what is the length of the other leg ? express your answer as a square root
Answers
Solution
Let y represent the length of the other leg
\(\begin{gathered} 32^2=y^2+18^2\text{ \lparen Pythagoras theorem\rparen} \\ 1024\text{ = y}^2\text{ + 324} \\ y^2=1024-324 \\ y^2=700 \\ y=\sqrt{700} \\ y=\sqrt{100\text{ x7}} \\ y=10\sqrt{7}\text{ m} \\ \end{gathered}\)
Find the slope of the graph
Answers
Answer:
-1
Step-by-step explanation:
You just have to divide the change in the x axis by change in the y axis on any arbitrary interval.
Answer:
-1
Step-by-step explanation:
Do rise-over-run for linear equations. Its the vertical change over the horizontal change between two points. Ex. between (-2,0) and (-1,-1) the line drops 1 unit horizontally (-1) and moves to the right one unit (1) so the slope would be -1/1 = -1
x y z
x² y² z²
yz zx xy
Answers
Answer:
simplify?
x^5 Y^5 Z^5
Step-by-step explanation:
jada walks at a speed of 3mph. elena walks at a speed of 2.8 mph. if they both begin walkign along a walking trail at the same time, how much father will jada walk adter 3 hours
Answers
Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.
Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.
To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.
Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:
Distance = Speed × Time
Plugging in the values, we have:
Distance = 3 mph × 3 hours
Distance = 9 miles
Therefore, Jada will walk a distance of 9 miles after 3 hours.
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The given information is as follows:
Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.
Therefore, Jada will walk 9 miles after 3 hours.
The distance covered by Jada after 3 hours can be calculated as follows:
Distance = Speed x Time
Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:
Distance covered by Jada = 3 mph x 3 hours
= 9 miles.
Therefore, Jada will walk 9 miles after 3 hours.
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the banana is 8 inches long how many 0.4 inch slices can be cut from the banana
Answers
Answer:20
Step-by-step explanation:
If mKL = 8 cm and
mLM = 2 cm, mKM =
____ ??
Please help! I’ll give brainliest!!
Answers
Answer:
10 cm
Step-by-step explanation:
add the two together because all the points lie on the same line and you get 10cm.
y'all i just saw the most inappropriate thing.. please... for my eye's sake.. don't post inappropriate things. kids are on this app trying to get answers and learn. do this somewhere else
Answers
Answer:
Was it from goldenglare? Cuz that was disgusting
Answer:
i'm with u cause i saw something inappropriate earlier
Step-by-step explanation:
0.12222 as a fraction
Answers
100x=12.2222
10x=1.2222
90x=11
x=11/90
0.12222=11/90
Joy invests $13,000 into an account at an annual rate of 0.6% simple interest for 24 months. what is the principal?
Answers
Answer:
I would think the principal is $13,000
Step-by-step explanation:
Answer:
Principle =$13000
Step-by-step explanation:
help me please i need a 67 becasue i cant play games tommorwo if i get 64
Answers
Step-by-step explanation:
3 ÷ 5 is 0.6
0.6 is the answer
Answer:
\(\frac{3}{5}\) or \(0.6\) depending on if they want it as a fraction or a decimal.
Step-by-step explanation:
You would do 3 divided by 5 to get 0.6.
You would just do 3/5 to get the fraction.
Hope I helped
find the value of x and 6
Answers
Answer:
x + 6 = -6
Step-by-step explanation:
Assuming x = -6
\(x+6=0\)
Subtract 6
\(x+6-6=0-6\)
Simplify arithmetic
\(x=0-6\)
Simplify arithmetic(again)
\(x=-6\)
we technically solved the equation right at the beginning when we assumed x was equal to -6 in order to group the constants to the right.
Hope this helps, have a great day!
Given l || m
n, find the value of x.
m
Answers
The value of 'x' is highlighted in the box
What is the slope on the graph
Answers
Answer:
4/5
Step-by-step explanation:
Answer:
4/5 or 4 up and 5 across
Explanation:
The points go from (-7,-5) to (-3,0)