Find the sum of 4x^(2)+x-4) and (2x^(2)-6x+2)3/5 - ( -1/2)

One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."

Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.

Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.

National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.

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Answer:

They are the same

Step-by-step explanation:

Answer:

C.(-31)

Step-by-step explanation:

= 5 - 4(1 + 2^3)

= 5 - 4(1 + (2 . 2 . 2))

= 5 - 4(1 + (4 . 2))

= 5 - 4(1 + 8)

= 5 - 4(9)

= 5 - (4 . 9)

= 5 - 36

= (-31)

_________

\( \: \)

5 - 4(1 + 2³) = ?

= 5 - (4(1) + 4(2³))

= 5 - (4 + 4(8))

= 5 - (4 + 32)

= 5 - 36

= -31

Answer:

pues yo pienso que es 8 es que no se muy bien

Answer:

A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied

Answer:

United States: Retail sales rebound in June

Step-by-step explanation:

United States: Retail sales rebound in June: Retail sales increased 0.6% month-on-month in seasonally-adjusted terms in June (May: -1.7% mom). The figure was largely due to a strong increase in gasoline sales in June, while sales at electronic and appliances, health and personal care, and general merchandise stores all rebounded robustly over the previous month. #accelerationism

Answer:

V = 90 cm³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = area of triangular face × length of prism

  = \(\frac{1}{2}\) bh × 3

 = \(\frac{1}{2}\) × 12 × 5 × 3

 = 6 × 5 × 3

 = 90 cm³

Answer:

B

Step-by-step explanation:

find CD which is 4

x/4=6/3

x=2×4

x=8

The value of the given integral is \((-1/18)ln|x| - (1/36)ln|6x^2-1|\)+ C, where C is the constant of integration.

To evaluate the integral, we can use integration by substitution. Let u = x² - x, then \(\frac{du}{dx}\) = 2x - 1 and dx = \(\frac{du}{(2x-1)}\). Substituting this in the integral, we get:

We can further simplify this by breaking the integral into partial fractions:

\(\frac{u}{(18x(2x-1))}\) = A/x + B/(2x-1)

u = A(2x-1) + Bx

Equating coefficients, we get A = -1/18 and B = 1/18. Substituting these values, we get:

∫ \(\frac{(x^2 - x)}{(36x^3 - 6x)}\) dx = (-1/18)∫ \(\frac{dx}{x}\) + (1/18)∫ dx/(2x-1)

= \((-1/18)ln|x|\) - (1/36)ln|2x-1| + C

Since the natural logarithm function is only defined for positive values, we need to use absolute values in the final answer to account for negative values of x. Therefore, the answer is  

\((-1/18)ln|x| - (1/36)ln|6x^2-1|\) + C.

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400 decreased by 0.5% is 398.

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent Percentage is %. Percentage is a measure of frequency.

400 decreased by 0.5 = 400 x (100 - 0.5%)

= 400 x 99.5%

= 400 x (99.5%/100)

= 400 x 0.995

= 398

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Once a model of reality is constructed around certain assumptions, it can be tested to determine its value in predicting outcomes.

Once a model of reality is constructed around certain assumptions, it can be tested to determine its value in predicting outcomes. This involves comparing the model's predictions with actual observed data or outcomes to assess its accuracy and reliability. By testing the model against real-world data, we can evaluate its validity and determine if it accurately represents the underlying reality or phenomenon being studied.

Producing data and graphing equations are related activities that can be part of the process of testing a model, but they are not the primary purpose of the model itself. Producing data involves collecting and generating empirical data that can be used to assess the model's predictions or outcomes. Graphing equations can be a way to visualize the relationships between variables in the model, but it is not the main purpose of the model itself. The primary purpose of constructing a model is to make predictions or generate hypotheses about how a system or phenomenon works, and testing these predictions against real-world outcomes is the key step in evaluating the model's value.

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Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

~

The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

As the composition of the functions is then given as follows:

\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)

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Answer:

Hi! The answer to your question is 12

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

Given

\( \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12\)

Hope it will help :)❤

Matrix A can be diagonalized by using the Orthogonal matrix P and the diagonal matrix D as follows: A = PDP^-1, where P^-1 = PT.

a) The characteristic equation of the matrix A is as follows:(-2-p)(p2−6p−16) = 0, where p is used instead of x.

b) The eigenvalues of the matrix are -2, -2, and 8, including repetition.c)

The process of orthogonal diagonalization is as follows, where P is an orthogonal matrix and D is a diagonal matrix that contains the eigenvalues of A along the diagonal

:First, we need to find the eigenvectors that correspond to each of the eigenvalues of A.i) For λ = -2: A + 2I = 2 20 30 −3 row2-2row1: A + 2I = 2 20 30 0 0 0 -3row2+row3: A + 2I = 2 20 30 0 -3 0 ii) For λ = 8: A - 8I = -8 -20 30 -1 row2 + row1: A - 8I = -8 -20 30 -51 row3 - 3row2: A - 8I = -8 -20 30 -51 iii) For λ = -2: A + 2I = 2 20 30 −3 row2-2row1: A + 2I = 2 20 30 0 0 0 -3row2+row3: A + 2I = 2 20 30 0 -3 0

Therefore, we have the eigenvectors for λ = -2, which are [-3/√10, 1/√10, 0] and [3/√10, 1/√10, 0].We also have the eigenvector for λ = 8, which is [1/√2, 0, -1/√2].

Thus, the orthogonal matrix P is given by: P = [−3/√10 3/√10 1/√2 1/√10 1/√10 0 0 0 -1/√2]

Finally, the diagonal matrix D is: D = [−2 0 0 0 −2 0 0 0 8].

Therefore, matrix A can be diagonalized by using the orthogonal matrix P and the diagonal matrix D as follows: A = PDP^-1, where P^-1 = PT.

The answer in the matrix is given below: $A=\begin{bmatrix}-2 & 0 & 0\\0 & -2 & 0\\0 & 0 & 8\end{bmatrix}.

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In order to express the confidence interval in the form p ± E, first we have to determine the midpoint of the interval, like this:

The value of the error, E, can be calculated by taking the difference between p and the end of the interval, like this:

Then, we can express 0.555 < p < 0.999 in p + E notation as 0.777 ± 0.222

The confidence interval can be written as 0.777 ± 0.222.

The confidence interval 0.555 < p < 0.999 can be expressed in the form of p ± E.

To find the margin of error (E), we can subtract the lower limit (0.555) from the upper limit (0.999) and divide it by 2:

E = (0.999 - 0.555) / 2

E = 0.222

Therefore, the confidence interval 0.555 < p < 0.999 can be expressed as:

p ± E

where p is the point estimate and E is the margin of error. In this case, the point estimate would be the midpoint of the interval, which is the average of the lower and upper limits:

p = (0.555 + 0.999) / 2

p = 0.777

Hence, the confidence interval can be written as 0.777 ± 0.222.

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Answer:

Step-by-step explanation:

Answer:

\(y=-\frac{1}{3}x +4\)

Step-by-step explanation:

slope= 1-7/9- -9= -1/3

y-intercept: 7 = -1/3(-9)+b, b=4

The average Honda beat the Dodge but couldn't pass the Smart Car, and the Mini couldn't pass the Audi, so the Audi won the race.

The Honda was able to defeat the Dodge but was unable to pass the Smart Car, so it was the Audi that arrived first in the race.

The Mini was then forced to settle for defeating the Smart Car after failing to pass the Audi. The Audi was the only vehicle that was able to stave off the competition and maintain its lead all the way to the finish line, making it the eventual race winner. Following the Audi in that order, the Honda, Dodge, Smart Car, and Mini were all overrun by the vehicle in front of them before the Mini was able to surpass the Smart Car and finish in fourth place.

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Answer:

43446

Step-by-step explanation:

52 weeks in an year

835.5 × 52 = 43446

Step-by-step explanation:

4x³ = 36x

4x³ - 36x = 0

4x(x² - 9) = 0

4x(x + 3)(x - 3) = 0

Hence x = 0, x = -3 or x = 3.

Answer:

18 infinite 3

Step-by-step explanation:

a=18

b=3

The value of a is 30 when b = 5.

Direct Variation is when a variable varies directly with another variable.

It is given that

a ∝ b

a= kb

where k is the proportionality constant

a = 18 when b = 3

18 = k * 3

k = 6

Therefore from the equation , value of a can be obtained

for b = 5

a = 6 * 5

a = 30

Therefore the value of a is 30 when b = 5.

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Answer:

Step-by-step explanation:

To the nearest tenth, the bag of flour weighs approximately 5.5 pounds.

To convert kilograms to pounds,  use the conversion factor: 1 kilogram ≈ 2.20462 pounds.

Given that the bag of flour weighs 2.5 kilograms,  calculate its weight in pounds as follows:

Weight in pounds = Weight in kilograms × Conversion factor

Weight in pounds = 2.5 kg × 2.20462 (approximately)

Weight in pounds ≈ 5.51155 pounds

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Answer:

Perpendicular lines

Step-by-step explanation:

MN: (-4, 8) and (-4, -6), This line parallel to y-axis as as x-value doesn't change

KL: (-8, 2) and (6, 2), This line is parallel to x-axis as y-value doesn't change

The given lines are perpendicular as one is parallel to x, another one is parallel to y

Answer:

Its 300

Step-by-step explanation:

Because 100 x 30 = 300

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Answer:

yes, because if you input 5 for x it would be -8

and if u input -9 for y it is right as -8 is closer to 0 than -9

You'll do just fine, just make sure to study and have some sleep, okay?