2. Solve the following equation for b. 6b + 2a - 4 = 2b + 3a
$b = a + 1
b= 5a+1/2
b= a+4/4
b= 5a+4/8

The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.

We have,

An exterior angle of a polygon is formed by extending one of its sides outward.

In the case of a triangle, when we extend each side, we create three exterior angles.

These exterior angles are located outside the triangle.

The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.

This property holds true for all polygons, regardless of their shape or size.

To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.

As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.

This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.

In a triangle, each interior angle measures less than 180 degrees.

So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.

Therefore,

The sum of the measures of the exterior angles of a triangle is always 360 degrees.

This principle holds true for all polygons, making it a fundamental property of geometry.

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Answer:

2.27

Step-by-step explanation:

1.98+2.50+3.25 = 7.73 - 10.00 = 2.27

Answer:

$2.27

Step-by-step explanation:

Add the prices together

1.98 + 2.50 + 3.25 = 7.73

Susy owes the cashier $7.73 but payed with a $10 bill, so subtract

10 - 7.73 = 2.27

She should get back $2.27

The level of measurement used in the classification is ordinal.

Ordinal levels of measurement group variables into categories like nominal scales, but also convey the order of the variables. For example, rate pain on a scale of 1 to 5, or classify income as high, medium, or low.

An ordinal scale is a second-level measure that indicates the ranking and order of data without actually specifying the degree of variation among the data. The order measurement level is his second of the four measurement scales. "Ordinal" means "order".

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The general solution of the differential equation by appropriate substitution of u = y/x will be ㏑|x| + (1/2) ㏑|2(y/x) + 1| = C

To solve the given differential equation (DE), which is homogeneous, we can use an appropriate substitution to simplify it.

The given DE is:

(x - y) dx + x dy = 0

To make the DE homogeneous, we can use the substitution u = y/x. Taking the derivative of u with respect to x, we get:

du/dx = (dy/dx - y/x) / x

Rearranging the terms, we have:

dy/dx = du/dx * x + u

Substituting this expression into the given DE, we obtain:

(x - u * x) dx + x (du/dx * x + u) = 0

Simplifying, we get:

x dx + (u * x²) dx + x² du + u * x dx = 0

Combining like terms, we have:

(2u * x + x) dx + x² du = 0

Dividing both sides by x(2u + 1), we get:

dx / x + du / (2u + 1) = 0

Integrating both sides, we have:

㏑|x| + (1/2) ㏑|2u + 1| = C

where C is the constant of integration.

Finally, substituting back u = y/x, we have:

㏑|x| + (1/2) ㏑|2(y/x) + 1| = C

This is the general solution to the given homogeneous differential equation.

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The statement that is true is "the study is observational and lacks control of too many lurking variables" and "the study should be replicated with other populations."Here are the reasons why:

The study is observational and lacks control of too many lurking variables:

This statement is true since the study was done with people who used turmeric in the meals they consume. There are a lot of things that could affect the difference in mileage walked by the turmeric users compared to those who do not consume it. For instance, the intensity of exercise, lifestyle, and overall diet could have been contributing factors. Thus, there is no guarantee that turmeric is solely responsible for the difference in miles walked.

The study should be replicated with other populations:

This statement is true since the study was carried out with a small sample size and in one geographic location. This means that there is a possibility that the results were just unique to that region. Replicating the study in a different location would help to establish the generalizability of the results and whether or not they are consistent across populations.

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Answer:

A standard form of a linear equation would look like this Ax+ By = C A x + B y = C

Step-by-step explanation:

Answer:

The total costs for the first year, $690 , the second year $560, the third year $442, and all the years $1692 in dollars and cents

Step-by-step explanation:

I Got it I think. I want that brainlyest?

We can calculate the operating costs for the car over the first three years using method 2. In the first year, the car was driven for 15,000 miles. From the table, we can see that the cost per mile for a six-cylinder compact car is $0.32.

To calculate the total cost for the first year, we multiply the miles driven by the cost per mile: Total cost for the first year = 15,000 miles x $0.32 per mile In the second year, the car was driven for 14,000 miles. Using the same method, we can calculate the total cost for the second year: Total cost for the second year = 14,000 miles x $0.32 per mile In the third year, the car was driven for 13,000 miles.

Again, using the same method, we can calculate the total cost for the third year: Total cost for the third year = 13,000 miles x $0.32 per mile To calculate the total cost for all three years, we sum up the costs for each individual year: Total cost for all three years = Total cost for the first year + Total cost for the second year + Total cost for the third year Make sure to substitute the values calculated for each year into this equation to find the final answer. Remember to use the thousands comma where applicable and express the answer in dollars and cents format.

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Answer: To subtract mixed fractions with different denominators, you need to convert the mixed fractions to equivalent fractions with a common denominator. Once the fractions have a common denominator, you can simply subtract the numerators and keep the denominator the same.

Example:

the difference of 2 1/3 and 1 3/4 is 5/12.

Step-by-step explanation:

First, convert 2 1/3 to an improper fraction: 2 1/3 = 7/3

Next, convert 1 3/4 to an improper fraction: 1 3/4 = 7/4

Now, both fractions have the same denominator, 3. So, you can subtract the numerators:

7/3 - 7/4 = (7 * 4 - 7 * 3) / (3 * 4) = 28/12 - 21/12 = 7/12

Finally, convert the answer back to a mixed fraction: 7/12 = 7 ÷ 12 =  5/12.

Answer:

21

Step-by-step explanation:

x^2+4=29

Subtract 8 from each side

x^2+4-8=29-8

x^2 -4 = 21

Answer:

21

Step-by-step explanation:

The first step is to solve for x. I did this by bringing 4 to one side and combining like terms.

x^2=29-4

x^2=25

x=sqrt25

x=5

Then I plugged x into the second equation.

5^2-4=

25-4=21

Obviously there are easier ways to go about this problem, but this is the way I feel comfortable with.

Hope this helps!

~gloriouspurpose~

Answer:

D:    (4,0) and (0,3)

Step-by-step explanation:

hello :

D:    (4,0) and (0,3)  because   6(4)+8(0) =24...... true

6(0)+8(3) =24...... true

Step-by-step explanation:

y = 5x + 4, x = -1

y = 5(-1) + 4

y = -5 + 4

y = -1

Answer:

90/360 x 3.14 x \(2^{2}\). (put into calculator)

Step-by-step explanation:

This is a sector of a circle we can see that there is a right angle (90 degrees) so we can say there is 90/360 of a circle.

The formula for the area of a circle is pi times radius squared.

We can use this but also need to use 90/360.

We can say the area of the shape is 90/360 x 3.14 x \(2^{2}\).

Answer:

x = 12, x = -12, those are the two zeros for the equation

Step-by-step explanation:

Answer:

indeed 12 :_ )

Step-by-step explanation:

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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Answer: Credit cards

Step-by-step explanation:

(you can search it up as well)

Answer:

Step-by-step explanation:

24

Answer:

50÷6=8 R2

Step-by-step explanation:

                       8  

              6  ⟌50        R2

                     - 0    

                 -------------  

                       50  

                      -48  

                 --------------  

                          2  

So, Miranda will have $8 left to buy.

Answer:

Para el CO₂ sabemos que:

densidad = 0,001976 g/cm³

Sabemos que:

densidad = masa/volumen

Entonces, si tenemos una masa de 28 g, podemos escribir:

volumen = masa/densidad

volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3

Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.

Carbono: tiene una masa molar de 12 g/mol

Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)

entonces la masa molar va a ser:

masa molar = 12g/mol + 2*16g/mol = 44 g/mol

Es decir, un mol de CO₂, pesa 44 gramos.

Answer:

Aaron has 3 red cubes and 15 yellow cubes in his bag. If he subtracts six yellow cubes, how many cubes of each color does he have?

Answer:

Jake from state farm lost 3 dollars from buying McDonalds it cost him dollars 6 how much money does he still have to pay

Step-by-step explanation:

Answer:B

Step-by-step explanation:

R^2=Q^2-P^2

R^2=2025

R=45

Answer:

b) 45cm

Step-by-step explanation:

by pythagoras theorem:

R² = P² - Q²

R² = 53² - 28² = 2809 - 784

R² = 2025

R = √2025

R = 45cm

Hope this helps!

The  equation in logarithmic form is log base (1/2) of (4) = -2

Given the equation is:

4= (1/2)⁻²

The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).

Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).

A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form.

Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.

log base (1/2) of (4) = -2

log₁/₂ (4) = ₋2

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Answer:

300 cents

Step-by-step explanation:

510/3 = 170

170 +130 = 300

Answer:

this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.

Step-by-step explanation:

Answer:23

Step-by-step explanation:

Answer:

113 explanation I just took the test

Answer: 113

Step-by-step explanation:

100 + 10 +5 -10 +8 = 113

The equation in slope-intercept form with slope --17/2 passing through the point (0, -16) is 2y = -17x -32

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

Equation of straight line in slope-intercept form is y = mx + c

y = -16, x = 0, m(slope) = -17/2 c = y-intercept

-16 = 0(-17/2) + c

c = -16

Equation of line becomes

y = -17x/2 -16

multiply through by 2

2y = -17x -32

In conclusion the equation of line with slope of -17/2 is 2y = -17x -16

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Step-by-step explanation:

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The first four terms of the Taylor series expansion of f(x) = 1 - x about x₀ = 0 are 1, -x, 0, and 0.

The Alternating Series Test is used to determine whether an alternating series converges or diverges. If a series satisfies the alternating sign condition (the terms alternate between positive and negative) and the terms decrease in magnitude as the series progresses, then the series converges. This means that the sum of the series approaches a finite value.

The Ratio Test is a convergence test that involves calculating the limit of the ratio of consecutive terms in a series. If the limit is less than 1, the series converges absolutely. If the limit is greater than 1 or infinite, the series diverges. If the limit is exactly 1, the test is inconclusive and does not provide information about the convergence or divergence of the series.

To find the first four terms of the Taylor series expansion of f(x) = 1 - x about x₀ = 0, we need to calculate the derivatives of f(x) and evaluate them at x₀. The Taylor series expansion is given by:

f(x) = f(x₀) + f'(x₀)(x - x₀) + f''(x₀)(x - x₀)²/2! + f'''(x₀)(x - x₀)³/3! + ...

Since x₀ = 0, f(x₀) = 1. The first derivative of f(x) is f'(x) = -1, the second derivative is f''(x) = 0, and the third derivative is f'''(x) = 0. Substituting these values into the Taylor series expansion, we have:

f(x) = 1 - 1(x - 0) + 0(x - 0)²/2! + 0(x - 0)³/3! + ...

Simplifying this expression gives:

f(x) = 1 - x

Therefore, the first four terms of the Taylor series expansion of f(x) = 1 - x about x₀ = 0 are 1, -x, 0, and 0.

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