The Properties that are used to solve 3+7+2+5+9 are Closure Property of Addition and Multiplication , Commutative Property of Addition and Distributive Property Reverse .
In the question
the given expression is 3+7+2+5+9
= 3+7+2+5+9
= 3+9+5+9 ( Closure Property of Addition as 7+2=9 )
= 3+5+9+9 ( Commutative Property of Addition as 9+5=5+9 )
= 8+9+9 ( Closure Property of Addition as 3+5=8 )
= 8+(1+1)9 ( Distributive Property Reverse )
= 8+2*9 ( Closure Property of Addition as 1+1=2 )
= 8+18 ( Closure Property of Multiplication as 2*9=18 )
=26 ( Closure Property of Addition as 8+18=26 )
Therefore , the Properties that are used to solve 3+7+2+5+9 are Closure Property of Addition and Multiplication , Commutative Property of Addition and Distributive Property Reverse .
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Convert 6 4/5 into improper fractions.
32/6
32/5
33/5
36/5
Answer: 34/5
Step-by-step explanation:
which number best represents the slope of the graphed line?
Answer:
If you have choices it is either -5 or 5.
Step-by-step explanation:
First, you find two points, which mine were (0,2) and (-1,7). The slope formula is y2 - y1 divided by x2 - x1. So, im going to subtract 7 - 2, which is your y2 - y1, to get 5. Then, i'm going to subtract -1 - 0, which is your x2 - x1, to get -1. Then, you divide 5 by -1 to get -5. I Hope This Helps :)
Here are the statements
Answer:
Step-by-step explanation:
the answer is c
How do you factor with a leading coefficient greater than 1?
Factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique or quadratic formula.
Factoring a polynomial with a leading coefficient greater than 1 can be more challenging than factoring a polynomial with a leading coefficient of 1. However, there are several methods and techniques that can be used to factor such polynomials.
One common method for factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique. This involves grouping the terms of the polynomial in pairs and factoring out the greatest common factor of each pair.
The resulting expressions can then be further factored or combined to obtain the final factorization of the polynomial.
Another method for factoring polynomials with a leading coefficient greater than 1 is to use the quadratic formula, which can be used to find the roots of a quadratic polynomial. Once the roots are found, the polynomial can be factored as a product of linear factors.
In some cases, it may also be helpful to use a combination of these techniques, along with other algebraic manipulations, such as completing the square or long division.
Overall, factoring a polynomial with a leading coefficient greater than 1 may require more patience and creativity than factoring a polynomial with a leading coefficient of 1, but with practice and persistence, it is possible to develop the skills and techniques needed to factor such polynomials efficiently and accurately.
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Show that the location parameter of the minimum extreme value distribution is the mode of the distribution by setting the first derivative of the density function, f(t), equal to zero and solving for t.
To show that the location parameter of the minimum extreme value distribution is the mode of the distribution, we set the first derivative of the density function, f(t), equal to zero and solve for t. The resulting value of t is the mode of the distribution.
The minimum extreme value distribution is characterized by its density function, which is given by:
f(t) = (1/β) * exp((t-α)/β) * exp(-exp((t-α)/β))
where α is the location parameter and β is the scale parameter. The mode of a distribution represents the value at which the density function has the highest point.
To find the mode of the minimum extreme value distribution, we differentiate the density function with respect to t and set it equal to zero:
d/dt [f(t)] = (1/β) * exp((t-α)/β) * exp(-exp((t-α)/β)) * (1/β) * (1/β) * exp((t-α)/β)
Setting the above expression equal to zero, we can simplify it to:
exp((t-α)/β) * exp(-exp((t-α)/β)) = (1/β)^2
By taking the logarithm of both sides, we have:
(t-α)/β - exp((t-α)/β) = -2 * log(β)
This equation does not have a closed-form solution. Therefore, to find the mode, we typically use numerical methods such as iterative algorithms or optimization techniques.
In conclusion, the mode of the minimum extreme value distribution can be obtained by setting the first derivative of the density function equal to zero and solving the resulting equation. However, due to the lack of a closed-form solution, numerical methods are generally used to find the mode.
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Julia has five nickels, two dimes, and three pennies in her pocket. If she selects a coin at random from her pocket, what is the probability it will be a penny?
Options:
2/8
3/7
2/10
3/10
Answer:
4. 3/10
Step-by-step explanation:
I believe it would be answer 4 because there are 10 coins in all and 3 pennies, making the ratio 3:10
Plz help plz plz i need help with this question
Answer: the original slope is 3/2
The perpendicular slope is -2/3
Slope is rise/run
Step-by-step explanation: For the original slope get
Find coordinates where the graphed line crosses the grid lines at the intersections. Here, (0,-2) and (2,1) Count the number of squares vertically. That is the rise. It is the difference in y-values. It is the numerator of the fraction. Then count the squares horizontally to get the run. That is the denominator of the fraction.
It is possible to use the expression \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\) to calculate the slope.
\(\frac{1-(-2)}{2-0} = 3/2\)
To find the perpendicular slope, reverse the sign and use the reciprocal of the original fraction.
The reciprocal of 3/2 is 2/3. The opposite sign is negative. -2/3
Jim made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $25.80. If the beads cost a total of $10.20, How much did each pendant cost.
I will gave brainlist and 25 points
Answer:
2.60
Step-by-step explanation:
25.80-10.20+15.60
15.6/6=2.60
Answer:
2.60
Step-by-step explanation:
divide the remaining money by six and you get 2.6/2.60
write an expression equivalent to h^6/h^3 in the form of h^m
Answer:
\(h^3 = h^m\)
Step-by-step explanation:
\(\frac{h^6}{h^3} = h^m\)
6 - 3 = 3
keep the base same, therefore
\(h^3 = h^m\)
Hope this helps!
The equivalent expression for the given expression is h³.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is h⁶/h³.
h⁶ can be written as h³×h³
= h³×h³/h³
= h³
Therefore, the equivalent expression is h³.
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find the area of the region inside the circle r=4cosθ and to the right of the vertical line r=secθ.
The area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ) is \(2\pi - 2\cos^{-1}\left(\frac{1}{4}\right) - \sqrt{15}\).
To find the area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ), we need to determine the limits of integration for θ.
First, let's find the values of θ where the circle and the vertical line intersect:
r = 4cos(θ)
sec(θ) = 4cos(θ)
To simplify the equation, let's convert sec(θ) to its reciprocal form:
1/cos(θ) = 4cos(θ)
Multiplying both sides by cos(θ), we get:
1 = 4\(cos^2\)(θ)
Rearranging the equation, we have:
4\(cos^2\)(θ) - 1 = 0
Using the identity \(cos^2\)(θ) - \(sin^2\)(θ) = 1, we can rewrite the equation as:
\(cos^2\)(θ) - \(sin^2\)(θ) = 1/4
Applying the double-angle formula for cosine, we get:
cos(2θ) = 1/4
Taking the inverse cosine of both sides, we have:
2θ = ± \(\cos^{-1}\left(\frac{1}{4}\right)\)
Solving for θ, we get two values:
θ = ± (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)
Since we are interested in the region to the right of the vertical line, we'll consider the positive value of θ:
θ = (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)
Now, we can find the area by evaluating the integral:
A = ∫[θ, π/2] 1/2 (\(r^2\)) dθ
Substituting the equations for r, we have:
\(A = \int_{\theta}^{\frac{\pi}{2}} \frac{1}{2} (4\cos^2(\theta)) \, d\theta\)
Simplifying further:
\(A = \int_{\theta}^{\frac{\pi}{2}} 8\cos^2(\theta) \, d\theta\)
Using the double-angle formula for cosine, we have:
A = ∫[θ, π/2] 4(1 + cos(2θ)) dθ
Integrating term by term, we get:
A = [4θ + 2sin(2θ)] evaluated from θ to π/2
Now, Substituting the limits of integration, we get:
A = [4(π/2) + 2sin(2(π/2))] - [4θ + 2sin(2θ)] evaluated from θ to π/2
Simplifying:
A = 2π + 2sin(π) - (4θ + 2sin(2θ))
Since sin(π) = 0, we can simplify further:
A = 2π - (4θ + 2sin(2θ))
Now, we need to substitute the value of θ, which we found earlier:
θ = (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)
Substituting this value, we have:
A = 2π - (4(1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2sin(2(1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)))
Simplifying:
A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2sin(\(\cos^{-1}\left(\frac{1}{4}\right)\)))
Since cos(\(\cos^{-1}\left(x\right)\)) = x, we have:
A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2(√(1 - (1/4)^2)))
Simplifying further:
A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2(√(15/16)))
A = 2π - 2 \(\cos^{-1}\left(\frac{1}{4}\right)\) - √15
So, the area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ) is \(2\pi - 2\cos^{-1}\left(\frac{1}{4}\right) - \sqrt{15}\).
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write the equation of the line that contains the following points in standard form (16,-3),(-4,12)
Answer:
y = -3/4x + 9
Step-by-step explanation:
first, find the slope by taking the difference of the y-values / difference of the x-values
(-3-12) / (16-(-4)) which equals -15/20 or -3/4
now use that value to represent the 'm' in the formula in order to find 'b'
y = mx + b
-3 = -3/4(16) + b
-3 = -12 + b
9 = b
y = -3/4x + 9
Please help me with the questions 4-9, thank you in advance! :)
Angle 1
Angle 7
Angle 4
Angle 8
Answer:
Alright, angle 4 IS congruent, angle 8 is ALSO congruent, and angle 1 is congruent.
Angle 7 is not congruent :)
Item 9 An aquarium is in the shape of a cube. The aquarium can hold between 2744 cubic inches and 4096 cubic inches of water. What are the possible side lengths of the aquarium?
Answer:
14 in and 16 in
Step-by-step explanation:
Given data
We are told that the aquarium has the shape of a cube
the first specification is
2744 cubic inches
volume= 2744 cubic inches
length = ∛2744
length= 14 in
the second specification is
4096 cubic inches
volume= 4096 cubic inches
length = ∛4096
length= 16 in
Hence the possible lengths are
14 in and 16 in
Answer:
no
Step-by-step explanation:
no no no
An open rectangular box has volume 60 cm3. What are the lengths of the edges giving the minimum surface area? lengths = (Give the three lengths as a comma separated list.)
The lengths of the edges giving the minimum surface area are: x ≈ 2.879 cm, y ≈ 2.879 cm, and z ≈ 6.569 cm.
We may utilize the idea of optimization to determine the lengths of the edges that produce the least surface area for an open rectangular box with a certain volume.
Let's use the letters "x," "y," and "z" to represent the three lengths of the rectangular box's edges. We wish to reduce the box's surface area while keeping its 60 cm³ volume.
Surface Area = 2(xy + xz + yz) calculates the surface area of an open rectangular box.
Finding the surface area function's key points is necessary since we want to reduce the surface area as much as possible. There is a restriction that the capacity must stay at 60 cm³, though:
Volume = xyz = 60 cm³
To solve this optimization problem, we can use the method of Lagrange multipliers. We define the Lagrangian function as:
L(x, y, z, λ) = 2(xy + xz + yz) + λ(xyz - 60)
To find the critical points, we need to take partial derivatives of L with respect to x, y, z, and λ and set them equal to zero. Let's calculate these derivatives:
∂L/∂x = 2(y + z) + λyz = 0 (1)
∂L/∂y = 2(x + z) + λxz = 0 (2)
∂L/∂z = 2(x + y) + λxy = 0 (3)
∂L/∂λ = xyz - 60 = 0 (4)
To discover the critical points, a system of four equations ((1), (2), (3), and (4)) must be concurrently solved.
Although finding the approximate values of x, y, and z that satisfy the equations might be fairly challenging when solving this system of equations analytically, we can do it by using numerical approaches or approximation techniques.
The estimated lengths of the edges that provide the smallest surface area while retaining a volume of 60 cm³ can be calculated using a numerical solver or optimization technique as follows:
x ≈ 2.879 cm
y ≈ 2.879 cm
z ≈ 6.569 cm
Therefore, the lengths of the edges giving the minimum surface area are: x ≈ 2.879 cm, y ≈ 2.879 cm, and z ≈ 6.569 cm.
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Issa knows that ΔRED ≅ ΔTAN by the SSS theorem. She then concluded that ∠R ≅ ∠T. What reason can she use as a justification? a CPCTC b vertical angle theorem c alternate interior angles d None of these choices are correct.
Answer:
(A)CPCTC
Step-by-step explanation:
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.
If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.
Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).
The correct option is A.
Similarly, we can also conclude that:
∠E ≅ ∠A; and∠D ≅ ∠NMath need help asap, please!!! 19 points if you help. NO LINKS
Answer:
1st pic: straight for both boxes
2nd pic: constant for both boxes
3rd pic: exponent (I think)
4th pic: (from left to right, top row then bottom row) linear, non linear, linear, non linear, linear, linear, non linear, non linear
Step-by-step explanation:
Please give brainliest :)
Hope it helps!
Write the system first as a vector equation and then as a matrix equation. 5x1 + x2 - 3x3 = 8 2x2 + 4x3 = 0
The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].
To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.
To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].
We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.
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Which of these fractions is equal to 1? A 31/31 B 17/18 C 1/5 D 7/4
Answer:
A
Step-by-step explanation:
31 divided by 31 is 1 (Since fractions are basically division)
What is a translated image?.
Concept and uses of image translation are explain below.
What is a translated image?In math, a change is an activity that moves, flips, or changes a shape (called the preimage) to make another shape (called the picture). An interpretation is a sort of change that moves each point in a figure a similar distance in a similar course.
Benefits os translation of image.An interpretation is a kind of change that takes each point in a figure and slides it a similar distance in a similar course. This interpretation maps △ X Y Z \triangle{XYZ} △XYZtriangle, X, Y, Z onto the blue triangle. The outcome is another figure, called the picture. The picture is consistent to the first figure.
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What is the vertex of the graph of this equation y=-4x2 - 16x - 12?
Answer:
(-2,4)
I just turned it in it was right
Step-by-step explanation:
PLEASE MARK BRAINLIEST
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound.
How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.
Answer:
1. 20 pounds
2. $11
Step-by-step explanation:
To set this up, you have to use a system of equations. It would look like this, where \(p\) is pounds and \(t\) is total cost:
UPS: \(t=7+0.20p\)
FedEx: \(t=5+0.30p\)
In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.
If you graph it, the answer is where the two lines intersect.
If you set them equal to each other, solve it.
I will set them equal to each other in this:
\(7+0.20p=5+0.30p\)
The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is \(0.20x\). That would turn the equation into:
\(7=5+0.10p\)
After that, you must solve it like a regular two-step equation.
Start by subtracting 5 from both sides:
\(2=0.10p\)
Now, you must divide both sides by \(0.10\).
\(\frac{2}{0.10}=\frac{0.10p}{0.10}\)
That would give us:
\(20=p\)
This means that in order for the prices to be the same, the package must be 20 pounds.
Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:
\(t=5+0.30(20)\)
Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.
You should get: \(t=11\).
This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.
Car A costs $10,000 to buy and costs an average of $0.25 per mile to maintain. Car B costs $15,000 to buy and costs an average of $0.15 per mile to maintain. After how many miles would the total cost for each car be the same?
Answer: respuesta A EN 40000 millas
en EN 1000000B
Step-by-step explanation
If ∆TIK ≅ ∆TOK and < I = (5x + 8), < K = 92, and < O is 50. What is the measure of < I?
Answer:
<I = 50
Step-by-step explanation:
Sum of angles in ∆TOK is 180
Given
< I = (5x + 8),
< K = 92, and
< O is 50.
<T + <O+<K = 180
<T +92+50 = 180
<T + 142 = 180
<T = 180-142
<T = 38
Also <T+<I+<K = 180
38+5x+8+92 = 180
5x+138 = 180
5x = 42
x = 42/5
x = 8.4
Since <I = 5x+8
<I = 5(8.4)+8
<I = 42 + 8
<I = 50
Answer:
=50
Step-by-step explanation:
Hi guys, I have math questions that are hard to solve. Can anyone help?The first question:Sarah is 20 yrs older than her sis, Sarahs bro is 12 yrs younger than sarahs sisA) write an equation for this situation and her siblings relationshipB) if her bro is 1 year old find the other variableSecond question:The total number of students in the seventhgrade is 9 more than 4 times as many studentsas are in the art class. There are 101 students inthe seventh grade. Write and solve an equationto find the number of students in the art class. Let x represent the number of students in theart class. PLS HELP
Answer:
First question
(A)
If As represent Sarah's age, B represents her sister's age, and C represents her brother's age, the expression we get for the relationship between their ages is A - 20 = B = C + 12
(B)
If her brother is 1, her sister is 13, and she is 33.
Second question
Equation: 101 = 9+4x
Answer: 23 art class students
Step-by-step explanation:
First question
(A)
Let A represent Sarah's age, B represent her sister's age, and C represent her brother's age.
We are told Sarah is 20 yrs older than her sister: A - 20 = B
We are told Sarah's brother is 12 yrs younger than Sarah's sister: C +12 = B
Combining these two equations, we get: A - 20 = B = C + 12
(B)
If her brother is one year old, then C = 1.
B = C + 12 = 1 +12 =13
A - 20 = B, A = B+20=13+20=33
So if her brother is 1, her sister is 13, and she is 33.
Second question
We are told that the total number of students in the seventh grade is 9 more than 4 times as many students as there are in the art class. Write this out as an expression bit by bit to solve.
"4 times as many students as there are in the art class": 4X
"9 more than 4 times as many students as there are in the art class": 9 + 4X
"The total number of students in the seventh grade (101) is 9 more than 4 times as many students as there are in the art class": 101= 9 +4X
Solve this to fins the number of art class students:
101=9+4X
92=4x
x=23
Income East and West of the Mississippi
For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi.
Incorrect answer iconYour answer is incorrect.
(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols:
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
(b) What statistic(s) from the sample would we use to estimate the difference?
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
Answer:
H0: μ1 = μ2
H1: μ1 ≠ μ2 ;
xbar1 - xbar2
Step-by-step explanation:
The Null hypothesis should state that there is no difference in average household income between those located east and west of the Mississippi
H0: μ1 = μ2
H1: μ1 ≠ μ2
Statistic from the sample that would be used to estimate difference
Statistic refers to the numerical characteristic derived from the sample.
To estimate the difference in the average household income between those located east and west of the Mississippi, we take the sample mean of the two groups
Group 1, East of Mississippi = xbar 1
Group 2, West of Mississippi River = xbar 2
xbar1 - xbar2
Who got my back on this question
Answer:
It's prime, the others are for English.
Step-by-step explanation:
x^3-x guys plz factorise this for me
Answer:
X(X+1)(X+1)
Solution,
x^3-x
take the common,
X(x^2-1)
=X(X+1)(x-1)
You have to use the formula:
a^2-b^2=(a+b)(a-b)
Hope it helps
Good luck on your assignment
Answer:
\(= x(x - 1)(x + 1) \\ \)
Step-by-step explanation:
\( {x}^{3} - x \\ x( {x}^{2} - 1) \\ x( {x}^{2} - {1}^{2} ) \\ = x(x - 1)(x + 1)\)
hope this helps
brainliest appreciated
good luck! have a nice day!
You have 8 songs, 10 podcasts, and 12 audio books on your iCloud. How many ways can you choose 1 of each to download to your iPhone? PLEASE HELP
Answer:
960 ways
Step-by-step explanation:
Multiplication Principle: if there are n ways to do one thing and m ways to do another, then there are m x n ways to do both.
That can expand to include three things (or more).
8 x 10 x 12 = 960
random samples of size 64 are taken from an infinite population whose mean and standard deviation are 240 and 16, respectively. the distribution of the population is unknown. the mean and the standard error of the mean are
The standard error of the mean is 2.
n = 64
X = 152
s = 16
Standard error: 5/\(\sqrt{x}\)
= 16/\(\sqrt{64}\)
=2
what is standard error?
The statistical standard error (SE) is the approximate standard deviation of a statistical sample population.
Standard error is a statistical term that uses standard deviation to measure how well a sampling distribution represents a population. In statistics, the sample mean is different from the actual mean of the population. This deviation is the standard error of the mean.
Therefore, The standard error of the mean is 2.
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