Simplify (3x2 - 2) + (2x2 - 6x + 3). (1 point)
a
5x2 - 6x + 1
Ob
5x2 - 6x -1
Oc
x²- 6x +1
Od
5x2 - 8x + 3

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Step-by-sThe corresponding parts are:

<A = <A' = <A"

<B = <B' = <B"

<C = <C' = <C"

AB = A'B' = A"B"

AC = A'C' = A"C"

BC = B'C' = B"C"

How to compare the sides

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

<A = <A' = <A"

<B = <B' = <B"

<C = <C' = <C"

AB = A'B' = A"B"

AC = A'C' = A"C"

BC = B'C' = B"C"

Why the results are true?

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

How to prove that two triangles are congruent without using rigid transformations?

To do this, we simply make use any of the following congruent theorems:

SSS: Side Side Side

SAS: Side Angle Side

AAS: Angle Angle Side

How to respond to this classmate?

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

SSS: Side Side Side

SAS: Side Angle Side

Answer:

80mph?

Step-by-step explanation:

Given that John surfs the website on a regular basis. The time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions. We are to find the probability of sample mean.a.

The probability that the sample mean is less than 8 minutes sample size(n) = 4μ = 8 minutesσ = 2 minutes

As we know, the sample means follow a normal distribution with mean, μ and standard deviation, σ / sqrt(n).

Therefore, the sample mean will follow a normal distribution with a mean of μ and standard deviation of σ/√n=2/√4=1

So the Z-score for the given data can be calculated as: Z= X−μ/σ/√nZ= 8−8/2/√4=0Thus, the probability that the sample mean is less than 8 minutes is P(Z < 0).

Since the Z distribution is normal, the area to the left of 0 is 0.5.

Therefore, the probability that the sample mean is less than 8 minutes is 0.5.b. The probability that the sample mean is between 8 and 10 minutes sample size(n) = 4μ = 8 minutesσ = 2 minutes

The Z-scores corresponding to X1=8 and X2=10 can be calculated as: Z1= X1−μ/σ/√n= 8−8/2/√4=0Z2= X2−μ/σ/√n= 10−8/2/√4=1

Thus, the probability that the sample mean is between 8 and 10 minutes is the area under the standard normal curve between Z1 and Z2, which is P(0

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Answer:

its the 3rd one

Step-by-step explanation:

The given series diverges for all values of the variable since the absolute value of the common ratio (3/2) is greater than 1.

The sum of a finite geometric series is given by the formula:S=ar(r^n -1)/(r -1)where S is the sum, a is the first term, r is the common ratio and n is the number of terms. If we take the limit of this formula as n approaches infinity and as r is between -1 and 1 (inclusive), then we have the sum of an infinite geometric series:S=a/(1-r)The sum of the given infinite series will converge if and only if the absolute value of the common ratio is less than 1. Therefore, to find the values of the variable for which the series converges, we must find the absolute value of the common ratio and ensure that it is less than 1.Sum of series:S = 1 + 3/2 + 9/4 + ...+ [3^(n-1)]/[2^(n-2)] + ...The first term is a = 1.The common ratio is r = 3/2.Therefore, we can write:S = 1 + 3/2 + 9/4 + ...+ [3^(n-1)]/[2^(n-2)] + ...= a/(1-r) = 1/[1 - (3/2)] = 1/(1/2) = 2.For what values of the variable does the series converge to this sum?As the common ratio is 3/2 and the absolute value of this ratio is greater than 1, the given series diverges for all values of the variable.

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Answer:

473

Step-by-step explanation:

typed into calculator.

Answer:

473

Step-by-step explanation:

first u divide 860 by 100

which equals to 8.6

next u multiply 8.6 by 55 to get 473

hope this helps!!

======================================================

Explanation:

We're conducting a one proportion Z test.

The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.

The sample population proportion is

phat = x/n = 41/79 = 0.518987 approximately

The standard error (SE) is

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.53*(1-0.53)/79)

SE = 0.056153 approximately

Making the test statistic to be

z = (phat - p)/(SE)

z = (0.518987 - 0.53)/0.056153

z = -0.19612487311452

z = -0.196

Which is approximate and rounded to 3 decimal places.

Answer:

Step-by-step explanation:

-17 + 2x = x - 1

2x = 16

x = 8

The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

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The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

Answer:

Um, i'm not the best but I'm trying my best, but I think it is                                       66%

Step-by-step explanation:

Hope this helps

The statement given "if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions." is true because if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions

If a matrix of coefficients of a system of n linear equations in n unknowns has 0 as an eigenvalue, it implies that the homogeneous version of the system (where all constant terms are 0) has non-trivial solutions. This is because the eigenvectors associated with 0 eigenvalue form the null space of the matrix, which represents the set of all solutions to the homogeneous system.

Since the homogeneous system has non-trivial solutions, this means that the original system of equations is linearly dependent, which in turn implies that there are infinitely many solutions. This is because there are linear combinations of the given solutions that are also solutions to the system. Therefore, the statement "if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions" is true.

""

if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions. true or false

""

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Answer:

$3600

Step-by-step explanation:

Given:

Total income T = $18,000

Fraction of income spent on house rent f1 = 1/5

Fraction of income spent on other expenditures f2 = 3/5

Fraction of income saved is;

f = 1 - (1/5+3/5) = 1 - 4/5

f = 1/5

The Amount he save is A;

A = fraction saved × total amount = f × T

Substituting the values

A = 1/5 × $18,000

A = $3,600

The Amount he save is $3,600

Answer: Varun saves 3,600 every month

Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;

Total income = 18000

House rent = 1/5

Rent expense = 1/5 of 18000

Rent expense = 1/5 * 18000

Rent expense = 3600

he also spends 3/5 on other expenditure

Other expenditure = 3/5 of 18000

Other expenditure = 3/5 * 18000

Other expenditure = (3 * 18000)/5

Other expenditure = 54000/5

Other expenditure = 10800

His expenses therefore have been derived as

Total expenditure = 3600 + 10800

Total expenditure = 14400

His savings per month therefore is derived as;

Total income - total expenditure = savings

18000 - 14400 = savings

3600 = savings

Therefore, Varun saves 3,600 every month

Answer:

no it wont

Step-by-step explanation:

Answer:

Number of penalties= 7

Step-by-step explanation:

Giving the following information:

A penalty in Jupiter Battle is a loss of 7 power points. Zach lost a total of 49 power points.

To calculate the number of penalties, we need to use the following formula:

Number of penalties= total point lost / 7

Number of penalties= 49/7

Number of penalties= 7

Answer:

-1, -2, and -3

Step-by-step explanation:

-1 + -2 + -3 = -6

When a data line on a graph slopes down as it goes to the right, it is depicting that the relationship between the variables on the graph is inverse.

An inverse relationship is a kind of correlation between two variables, in which one variable decreases while the other increases, or vice versa. An inverse relationship happens when one variable increases while the other decreases, or when one variable decreases while the other increases.

On a graph, when a data line slopes down as it goes to the right, this is an indication that the relationship between the variables on the graph is inverse. As the values of x increase, the values of y decrease. Therefore, we can conclude that there is an inverse relationship between x and y.

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The ratio of the corresponding sides of two similar triangles is equal. Since traingles BCD and EFG are similar, we can write

The car can run for 1 hour until it reaches a quarter of a tank of gas

The vehicle can go 50 miles before running out of gas.

First, let's determine how long the automobile can continue to drive before it runs out of gas.

Since the car uses 1/8 of a tank of gas every 30 minutes of driving, it will use 1/4 of a tank in an hour.

Therefore, the car can run for 1 hour until it reaches a quarter of a tank of gas.

Now, let's calculate how far the car can travel in 1 hour at a speed of 50 mph:

Distance = Speed x Time

Distance = 50 mph x 1 hour

Distance = 50 miles

Therefore, The vehicle can go 50 miles before running out of gas.

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The value of y for the given conditions is 82.2.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Given a phrase, y divided by 6.85=1.2

y ÷ 6.85 = 12

y/6.85 = 12

multiply both sides by 6.85

y/6.85(6.85) = 12 x 6.85

y = 82.2

Hence the value of y is 82.2.

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Answer:

I am pretty sure it's 312ft^2

Step-by-step explanation:

If you do 12x13/2 its 78

then you would do 78 x 4

and you get 312

so its 312ft^2

The probability of pulling two consecutive blue marbles is 0.1622

In this question we have been given  a bag with 20 red marbles, and 14 blue marbles.

we need to find the probability of pulling two consecutive blue marbles.

Total number of marbles = 20 red marbles + 14 blue marbles

                                       = 34 marbles

The probability of pulling a blue marble is:

p1 = 14/34

After pulling 1 blue marble there would be 13 blue ,arbles and 33 total marbles in a bag.

So, the probability of pulling next blue marble would be,

p2 = 13/33

So, he probability of pulling two consecutive blue marbles would be,

p = p1 * p2

p = 14/34 * 13/33

p = 0.1622

Therefore, the required probability is 0.1622

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Answer:

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees. Therefore,

2x + 3x + 22 = 180

Simplifying the equation,

5x = 158

Dividing by 5 on both sides,

x = 31.6

To find the actual measures of 2x and 3x, we substitute the value of x:

2x = 2(31.6) = 63.2 degrees

3x = 3(31.6) = 94.8 degrees

Therefore, the actual measures of 2x and 3x are 63.2 degrees and 94.8 degrees, respectively.

The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.

Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.

Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.

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In the attached diagram the perimeter of the hall way is

The perimeter of the hall way is calculated by adding all the sides of the hallway

The perimeter of the hall way  = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4

adding like terms results to

The perimeter of the hall way  =  17x + (-34)

Finally, the simplified expression is:

17x - 34

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The probability that the sum of the three numbers on the balls selected from the box will be odd is 1/2.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

The right answer is C 1/2.

(even) = 1/2 (odd) = P (because there are 50 odd and 50 even numbers)

Only the following four situations will result in the sum of the three integers being odd:

Odd + Odd + Odd is 1/8.

Even + Even + Even equals 1/8 Even + Even + Odd equals 1/8

Even numbers will result from further odd and even combinations.

The likelihood of receiving an odd total of three numbers after adding up the four possibilities above is 1/2.

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The integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

To evaluate the integral of du/sqrt(a^2 - u^2), we can use a trigonometric substitution. Let's substitute u = asin(theta), where theta is a new variable. Differentiating u with respect to theta gives du = acos(theta)*d(theta).

Now, let's substitute these expressions back into the integral:

∫(du/sqrt(a^2 - u^2)) = ∫((acos(theta)d(theta))/sqrt(a^2 - a^2sin^2(theta)))

Simplifying the expression under the square root:

= ∫((acos(theta)d(theta))/sqrt(a^2(1 - sin^2(theta))))

= ∫((a*cos(theta)d(theta))/(acos(theta)))

= ∫d(theta)

= theta + C

Since we made the substitution u = asin(theta), we need to express the result in terms of u. Using the relationship u = asin(theta), we can find theta = arcsin(u/a). Therefore, the integral becomes:

∫(du/sqrt(a^2 - u^2)) = theta + C = arcsin(u/a) + C

Hence, the integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

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Answer:

The first set (A)

Step-by-step explanation:

The five inputs are {-12, -3, 0, 3, 12}.  The first set (A) includes all five of these inputs and a single output for each of them:  {(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).

Using the given function,  the correct set of ordered pairs for the following domain values is A; {(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).

The domain of a function is defined as the set of all the possible input values that are valid for the given function. The range of a function is defined as the set of all the possible output values that are valid for the given function.

The five inputs are given as;

{-12, -3, 0, 3, 12}

WE can see that first set (A) includes all five of these inputs and a single output for each of them;

{(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).

Therefore, Using the given function,  the correct set of ordered pairs for the following domain values is A; {(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).

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According to the equation, a player who practices 30 hours a week is predicted to score approximately 26 baskets.

The equation given is y = 0.8x + 2.3, where y represents the number of baskets scored and x represents the number of hours practiced. To predict the number of baskets scored by a player who practices 30 hours a week, we can substitute x with 30 in the equation and solve for y.

Substituting x = 30 into the equation, we get y = 0.8(30) + 2.3.

Simplifying this expression, we have y = 24 + 2.3.

Combining the terms, we find y = 26.3.

Therefore, according to the equation, a player who practices 30 hours a week is predicted to score approximately 26 baskets.

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Given:

The expression is:

\((6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)\)

To find:

The resulting polynomial in standard form.

Solution:

We have,

\((6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)\)

Write subtraction of a polynomial expression as addition of the additive inverse.

\((6m^5+3-m^3-4m)+(m^5-2m^3+4m-6)\)

Rewrite terms that are subtracted as addition of the opposite.

\(6m^5+3+(-m^3)+(-4m)+m^5+(-2m^3)+4m+(-6)\)

Group like terms.

\([6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m]\)

Combine like terms.

\(7m^5+(-3)+(-3m^3)+0\)

On simplification, we get

\(7m^5-3-3m^3\)

Write the polynomial in standard form.

\(7m^5-3m^3-3\)

Therefore, the required polynomial in standard form is \(7m^5-3m^3-3\).