2. The sum of the two number is 5 and difference of their squares is 5. Find the difference of the numbers?
help me solomon user.
Answers
Answer:
see the attachment
I hope it's help you
Let the two numbers be X and Y
Sum of the two numbers = 5
⇛ X+Y = 5-----(1)
Difference of their squares = 5
⇛ X²-Y² = 5
⇛(X+Y)(X-Y) = 5
⇛5(X-Y) = 5
⇛X-Y = 5/5
⇛ X-Y = 1
The difference of the two numbers = 1. Ans.
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Related Questions
I need help choosing which two equations tool el to find the individual massses of A and B
Answers
Answer:
Step-by-step explanation:
The third one :
a is twice the mass of b so a=2b b and 2a combined equal 45John has a storage bin in the shape of a rectangular prism. The storage bin measures 3 1/2 feet long, 2 feet wide, and 2 feet tall. John will put boxes that measure 1/2 on each side into the bin. What is the greatest number of boxes John can put in the bin?
a- 14
b- 56
c- 112
d-224
Answers
Answer: a
Step-by-step explanation: a b
state the mean-value theorem for derivatives. can the mean-value theorem be used to conclude that v(t) was never zero on the interval [0, ln 2]? why or why not?
Answers
V(t) was never zero on the interval [ 0, ln 2] according to the mean-value theorem.
what is mean value theorem of derivatives ?According to the Mean Value Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then f'(c) must equal the function's average rate of change over [a, b] at some point c on the interval (a, b).
given
Assume that f: [a, b] R and that f has a local maximum or minimum at x0 (a, b). F 0 (x0) = 0 if f is differentiable at x0.
Proof: Let's assume that f has a local maximum at x0 (a, b). When h is small enough, f(x0 + h) f. (x0).
f(x0 + h) f(x0) h 0 if h > 0 else.
Similar to this, f(x0 + h) f(x0) h 0 if h 0.
As a result of fundamental limit qualities, f
We point out that if x0 is either an or b, the prior theorem is invalid. For instance, f has a maximum at 1 but f 0 (x) = 1 for all x [0, 1] if we take the function f: [0, 1] R such that f(x) = x.
V(t) was never zero on the interval [0, ln 2] according to the mean-value theorem.
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If a voter votes RIGHT in one election, the probability that the voter will vote LEFT in the next election is 0.2. If a voter votes LEFT in one election, the probability that the voter will vote RIGHT in the next election is 0.1. Assume that these are the only two parties available to vote for. 1. What is the Markov assumption? 2. Draw the transition diagram to this problem. 3. Write down the transition matrix. 4. If 55% of the electorate votes RIGHT one year, find the percentage of voters who vote RIGHT the next year. What would be the voter percentages in 10 years' time? Interpret your result. (2+2+3 marks) 5. Will there ever be a steady state where the party percentages don't waiver? Interpret your result. (3+3 marks)
Answers
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.
Transition diagram:
LEFT RIGHT
|--------->--------|
LEFT | 0.8 0.2 |
| |
RIGHT| 0.1 0.9 |
|--------->--------|
The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.
Transition matrix:
| LEFT | RIGHT |
---------------------------
LEFT | 0.8 | 0.2 |
---------------------------
RIGHT | 0.1 | 0.9 |
---------------------------
The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.
If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.
Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).
To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]
Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.
To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.
No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.
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Question 1 scenario: an analyst wants to test the hypothesis that the percentage of homeowners in the us population is 75%. in order to test this hypothesis she collects data from all over the country your task is to help the analyst perform her hypothesis test. in order to do this you need to compute various statistics using excel. use sm level of significance iscenario 1: ou the percentage of home owners in the us sample is 9 064 154 0.66 0.75
Answers
50 apartments were randomly chosen by our pupils. We found 26 residences with owners. We could use this to determine our sample proportion, by the way. It will come out to 26 out of 50 and.52. We're going to conduct an experiment to test the hypothesis that your neighborhood's owner-occupied home percentage differs from the national average.
The null hypothesis will be the outcome of the test. The null hypothesis states that 69 is the actual proportion. The alternative is an alternate theory. We are endeavoring to determine whether the community is different from the country, per the inquiry. I'll concede that the actual ratio is not 0.69. It is necessary to find the test statistic. We are permitted to utilize the calculator function in the tests because this is an example Z test. Yes, a window. We could locate the single proportion Z if we went to the tests and clicked the stat. It's basically a test. The Christmas component cost 69 dollars. Out of 50 samples, 26 have resulted in success.
In our alternative, the true percentage is different from.69, therefore proportion does not equal zero proportion. A negative Z score of 2.599 will be the outcome in the end. The window gives us a p value of 9. We'll choose a resolution. We will compare the p value to our significance level. It doesn't specify the degree of relevance for this problem. We'll only use 5%. So, if our p value is less than the significance level, we would reject the null hypothesis, right? The sample proportion must be obtained. If the null hypothesis is true, it would be extremely rare, since our community has more owner-occupied homes than the national average, according to the data.
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How can data displays be used to compare two sets of data?
Answers
Answer:
The answer is A. they quickly illustrate measure of center. and C. they show trends in data that can be compared.
what is the median of the scores in this stem-and-leaf plot? 75 75 76 76 77 77 78
Answers
Answer:
The median of the scores in this stem-and-leaf plot is 78
Step-by-step explanation:
The total data set represented by Stem and leaf in order from the least to the greatest are as following:
58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95
The number of data is 21
The median of the data at the place number 11
So, median = 78
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?
Answers
Answer:
Negative 1 and three-fifths meters
(-1 + -1)•(-1 - -1) = ?
Answers
Answer:
-2
Step-by-step explanation:
(-1+-1)*(-1--1)
A negative plus a negative will stay negative.
2 negative signs will make a positive number. Example x-(-x)=0
A negative minus a positive will cancel out. For example -6-(-6)=0
Therefore, -1-(-1) will be 0
-2*0
-2
Answer:
-2
Step-by-step explanation:
) In unit-vector notation, what is the sum of
a
=(5.2 m)
i
^
+(1.4 m)
j
^
and
b
=(−12.0 m)
i
^
+(6.8 m)
j
^
. What are (b) the magnitude and (c) the direction of
a
+
b
(relative to
i
^
)? (a) Number
i
^
+
j
^
Units (b) Number Units (c) Number Units
Answers
In unit-vector notation, the sum of a= \(5.2 \ \boldsymbol{\hat{i}}+1.4\ \boldsymbol{\hat{j}}\) and b= \(-12.0\ \boldsymbol{\hat{i}}+6.8\ \boldsymbol{\hat{j}}\) is \(-6.8\ \boldsymbol{\hat{i}}+8.2\ \boldsymbol{\hat{j}}\), the magnitude of a+b is 10.65m and the direction of a+b relative to \(\hat{i}\) is \(-50^\circ\).
a) To find the sum of a+b, follow these steps:
In unit-vector notation, the sum of a and b is given by the expression; \({\bf a}+{\bf b}=(5.2 \ \boldsymbol{\hat{i}}+1.4\ \boldsymbol{\hat{j}})+(-12.0\ \boldsymbol{\hat{i}}+6.8\ \boldsymbol{\hat{j}})\\=(5.2-12.0)\ \boldsymbol{\hat{i}}+(1.4+6.8)\ \boldsymbol{\hat{j}}\\=-6.8\ \boldsymbol{\hat{i}}+8.2\ \boldsymbol{\hat{j}}\).Thus, the sum of a and b is \({\bf a}+{\bf b}=-6.8\ \boldsymbol{\hat{i}}+8.2\ \boldsymbol{\hat{j}}\).b) To find the magnitude of a+b, follow these steps:
The magnitude of the sum \({\bf a}+{\bf b}\) is given by;\(|{\bf a}+{\bf b}|=\sqrt{(-6.8)^2+(8.2)^2}=10.65 \ m\). Therefore, the magnitude of \({\bf a}+{\bf b}\) is 10.65m.c) To find the direction of a+b relative to \(\boldsymbol{\hat{i}}\), follow these steps:
The direction of \({\bf a}+{\bf b}\) relative to \(\boldsymbol{\hat{i}}\) is given by \(\theta = \tan^{-1}\left(\frac{8.2}{-6.8}\right)=-50^\circ\). Therefore, the direction of \({\bf a}+{\bf b}\) relative to \(\boldsymbol{\hat{i}}\) is \(-50^\circ\).Learn more about unit-vector notation:
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Use the divergence theorem to compute the net outward flux of the vector field f across the boundary of the region d. F= 32-x,x - 5y,7y +9z
Answers
Using the divergence theorem we can compute that the outward flux of the vector field is 16π .
The outward flux of F over the solid cylinder and z = 0 is
∫∫F·ds = ∫∫∫ DivF dv
F = 2xy² i + 2x²y j + 2xy k
Div F = D/dx (2xy²) + D/dy (2x²y )
Div F = 2y² + 2x²
In cylindrical coordinates dV = rdrdθdz and as z = 0 the region is a surface ds = r·dr·dθ
Using the parametric form of the surface equation
x = rcosθ y = r sinθ and z = z
Div F = 2r² sin²θ + 2r²cos²θ
∫∫∫ DivF dv = ∫∫ [2r²sin²θ + 2r²cos²θ] × rdrdθ
∫∫ 2r² [sin²θ + cos²θ] × rdrdθdz ⇒ ∫∫ 2r³ drdθ
Integration limits
0 < r < 2 0 < θ < 2π
2∫₀² r³ ∫dθ
(2/4) × (2)⁴ × 2π
The divergence theorem, commonly known as Gauss' theorem or Ostrogradsky's theorem, is a theorem that connects the flow of a vector field across a closed surface to the field's divergence in the volume enclosed.
In more detail, the divergence theorem states that the surface integral of a vector field across a closed surface, sometimes referred to as the "flux" through the surface, is equal to the volume integral of the divergence over the region inside the surface.
Therefore the flux is 16π .
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How many grams of water would require 4000 joules of heat to raise its temperature from
65°C to 100°C? The specific heat of water is 4.181?
Answers
Answer: 27.33 g water
Step-by-step explanation:
For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.
4000J=m(4.181J/g°C)(100-65°C) [find change in temperature]
4000J=m(4.181J/g°C)(35°C) [divide both sides by specific heat and change in temperature]
m=27.33 g
Given the quantities a=3.7m, b=3.7s, c=80m/s, what is the value of the quantity d=a^3/cb^2?
Answers
The value of the quantity d is 0.0462 m^2/s.
Here,
The quantities a=3.7m, b=3.7s, c=80m/s.
We have to find the value of d = a^3/cb^2
What is quantity?
A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.
Now,
The quantities a=3.7m, b=3.7s, c=80m/s.
The value of d;
\(d = \frac{a^{3} }{cb^{2} }\)
\(d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }\)
\(d = \frac{3.7}{80}\)
\(d = 0.0462\)
Hence, The value of the quantity d is 0.0462 m^2/s.
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Problem 4-7 Calculating the Number of Periods [LO 4] At 5.25 percent interest, how long does it take to double your money? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.9., 32.16. At 5.25 percent interest, how long does it take to quadruple your money? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
Answers
The number of periods is approximately 26.98.
To calculate the number of periods it takes to double your money at 5.25 percent interest, you can use the formula for compound interest:
Future value = Present value * (1 + interest rate) ^ number of periods
In this case, the future value is twice the present value, so the equation becomes:
2 = 1 * (1 + 0.0525) ^ number of periods
To solve for the number of periods, you can take the logarithm of both sides:
log(2) = log((1 + 0.0525) ^ number of periods)
Using the logarithmic properties, you can bring the exponent down:
log(2) = number of periods * log(1 + 0.0525)
Finally, you can solve for the number of periods:
number of periods = log(2) / log(1 + 0.0525)
Using a calculator, the number of periods is approximately 13.27.
To calculate the number of periods it takes to quadruple your money at 5.25 percent interest, you can follow the same steps as above, but change the future value to four times the present value:
4 = 1 * (1 + 0.0525) ^ number of periods
Solving for the number of periods using logarithms:
number of periods = log(4) / log(1 + 0.0525)
Using a calculator, the number of periods is approximately 26.98.
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Plx help me! Brainlist!
Answers
Answer:
Its A. have a good day
Step-by-step explanation:
Let’s say you’re building a mini city, each apartment complex costs $10 each enough to supply 100 people, how many do I need to supply 50,000 people?
Answers
v/24=23
what is v? and how do i solve it
Answers
v/24 = 23
x 24 | x 24 23 x 24 = 552
24v | 552
24 | 24
v = 23
Let me know if this is the correct answer. :)convergence of the largest eigenvalue of normalized sample covariance matrices when p and n both tend to infinity
Answers
The largest eigenvalue of normalized sample covariance matrices converges to 1 as both the dimension (p) and the sample size (n) tend to infinity.
The sample covariance matrix is computed from a dataset with p variables and n observations. It measures the relationship between variables and provides information about their covariance.
To normalize the sample covariance matrix, each entry is divided by a factor of (1/n), ensuring that the matrix is scaled properly.
As p and n tend to infinity, the eigenvalue distribution of the normalized sample covariance matrix follows the Marčenko-Pastur distribution, a probability distribution describing the eigenvalues of large random matrices.
In this distribution, the largest eigenvalue approaches 1, while the remaining eigenvalues are close to 0. This result is known as the Tracy-Widom law and is applicable to high-dimensional statistics.
Thus, in the limit of increasing p and n, the largest eigenvalue of the normalized sample covariance matrix converges to 1, indicating that it carries little information about the underlying structure of the data.
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Ellie deposited $650 into her savings account. She then saved $150 per month.the amount in Ellie’s savings account after t months
Answers
Answer:
$650+$150x
Step-by-step explanation:
Base number and 150 is added per month.
if x is a continuous random variable then p(x=a)
Answers
For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.
In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.
To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.
Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.
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Plssss help this is harder than my hw and I am helping a second grader
Answers
Answer:
Ballio's goal is to read 23 books.
Step-by-step explanation:
9+9+9=27
27-4=23
27
9 9 9 (9x3=27)
31 (27+4)
27 4
23 (27-4)
Brainlist Pls!
Determine which situation could be represented by the system of linear equations given below
Answers
56x-(23y)^9/3 = 42
Can i please have help?
Answers
Analyzing the graph of the linear equation, we can see that for 1.4 grams of chemical A you will need 1.2 grams of chemical B.
How much of chemical B is needed?The amounts of chemicals A and B needed are modeled by the linear equation on the graph.
Here we want to see how much of chemical B is needed if we decide to use 1.4g of chemical A.
Chemical A is on the horizontal axis, so we need to find 1.4 on the horizontal axis, and then move upwards until we reach the linear equation, and then move to the left until we reach the vertical axis.
Doing that we can see that we will need 1.2 grams (3 little squares in the vertical axis) of chemical B.
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Kuta Software Infinite Algebra 1. Solving Systems of Equations by Substitution. Solve each system by substitution. 1) y=6x-11. -2x-3y=-7. -2x-3(60x-11)=-7
Answers
the solution to the system of equations is x = 2 and y = 1.
To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.
Given the system of equations:
1) y = 6x - 11
2) -2x - 3y = -7
Step 1: Solve equation (1) for y.
y = 6x - 11
Step 2: Substitute the value of y from equation (1) into equation (2).
-2x - 3(6x - 11) = -7
Step 3: Simplify and solve for x.
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -7 - 33
-20x = -40
x = (-40)/(-20)
x = 2
Step 4: Substitute the value of x into equation (1) to find y.
y = 6(2) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.
Explanation:To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.
Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.
Therefore, the solution to the system of equations is x = 2 and y = 1.
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Twelve months of sales data are provided in the table below
along with the associated seasonal relatives. This product
experiences a seasonal pattern that repeats every year. Create a
linear regressio
Answers
Linear regression is a technique used in statistics and machine learning to understand the relationship between two variables and how one affects the other.
In this case, we are interested in understanding the relationship between sales and seasonality. We can use linear regression to create a model that predicts sales based on seasonality. Here's how we can do it First, let's plot the data to see if there is a relationship between sales and seasonality.
We can see that there is a clear pattern that repeats every year. This indicates that there is a strong relationship between sales and seasonality. We can use the following equation: y = mx + b, where y is the dependent variable (sales), x is the independent variable (seasonality), m is the slope of the line, and b is the intercept of the line.
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Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as
Buttercup, her toy poodle.
Pick the diagram that models the ratio in the story.
Fifi
Buttercup
Fifi
Buttercup
If Fifi weighs 56 pounds, how much does Buttercup weigh?
pounds
Answers
Answer:
Buttercup weighs 8 pounds
Step-by-step explanation:
Sorry I can't pick a diagram, since we can't see a photo.
if b is Buttercup and f is Fifi, substitute in Fifi's weight, and solve for b
b x 7 = f
7b = 56
divide both sides by 7
b = 8
what is the answer........
Answers
C - -3,-2
D - -3,-5
Find the volume of the triangular prism to the right.
6 height
11 base
Answers
The volume of the triangular prism is 198 cubic units.
To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.
In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:
Area of base = (1/2) × base × height
Area of base = (1/2) × 11 units × 6 units
Area of base = 33 square units
The height of the prism is given as 6 units.
Therefore, the volume of the triangular prism is:
Volume of prism = Area of base × Height
Volume of prism = 33 square units × 6 units
Volume of prism = 198 cubic units
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HELP!!! Which is a solution to the equation?
(x −2)(x + 5) = 18
x = −10
x = −7
x = −4
x = −2
Mark this and return
Answers
Answer:x=-7
Step-by-step explanation:
Step-by-step explanation:
I'm not sure it's probably x=-2
Which value, if any, from the set {4, 5, 6} makes 15f = 85 true?
A. 5
B. 4
C. None of these values
D. 6