Given:
A6, 4), M(8, 1)
Find: B

Answer:

y = -3/2x + 6

Step-by-step explanation:

Slope m = (y2 - y1)/(x2 - x1)

m = (6 - 0)/(0 - 4) = 6/-4 = -3/2

Slope-intercept form is y = mx + b

Substitue m = -3/2, y = 0, x = 4

0 = -3/2(4) + b

b = 6

y = -3/2x + 6

Answer:

y=5x+1

i'm pretty sure...

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

Answer:

1. w= 2/7

2. x= 11

3. z =20

Step-by-step explanation:

Answer:

your answer is that it decreases to 7%

Answer:

28% decrease

Step-by-step explanation:

(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

The point (5, 4) in polar coordinates is (6.4, 38.66°)

Here we have the point (5, 4) and we want to write it in polar coordinates (r, θ).

To find the value of r, the radius, we need to take the square root of the sum of the squares of the two coordinates:

r = √(5² + 4²)

r = √(25 + 16)

r = √41 = 6.4

And to find the angle, we know that:

θ = Atan(y/x) = Atan(4/5) = 38.66°

Then the polar coordinates are (6.4, 38.66°)

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Answer:

24

Step-by-step explanation:

The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs. The distance traveled in one year of normal commuting could be more suitable in this case.

A. The functional unit, which is defined as the quantified performance of a product system or service that will be used as a reference for conducting the life cycle assessment, is important for evaluating the impacts of products or systems on the environment.

The following are the different functional units that are acceptable or not acceptable to assess the environmental impacts of the product or system.

The first functional unit, one vehicle, is not appropriate as it doesn't represent the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life.

The second functional unit, distance traveled in one full gas tank or battery charge, would not be appropriate for our purpose as it is not clear what type of vehicle it will be used for.

The third functional unit, one year of normal commuting, would not be appropriate as it does not consider all the environmental impacts over the lifetime of the vehicle.

The fourth functional unit, 1 kg of vehicle, would not be appropriate as it is too small of a functional unit to evaluate the environmental impacts of the vehicle.

B. If we also wanted to consider riding the public bus as a personal transportation option, 200,000 miles driven would not be an appropriate choice of functional unit. This is because buses are used for transportation purposes, and they will have different environmental impacts than cars.

Therefore, the distance traveled in one year of normal commuting could be more suitable in this case.

C. One other impact category we could consider is the acidification potential. The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs.

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Answer:

The answer is the 1st option, y = 4x + 3

Step-by-step explanation:

x is the amount of days that the 4 dollars will be multiplied by

( 4 * x )

The + 3 is the money that George already had in his savings account, so that money will be added to the total amount in his savings account.

( 4x + 3 )

Lastly, the y stands for the total amount of money in his savings account so the answer is the 1st option.

y = 4x + 3

Hope this helps! :)

Answer:

The answer is 8!

Step-by-step explanation:

I took the quiz. Have a great day, hope this helps!

True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.

True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.

A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).

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An estimate of the number of employees who read at least one book per month is 432.

Based on the circle graph, out of the 50 employees surveyed:

19 employees read one book per month

7 employees read two books per month

10 employees read three or more books per month

14 employees do not read any books per month

To estimate the number of employees who read at least one book each month among the 600 employees of the company, we can use proportional reasoning.

The proportion of employees surveyed who read at least one book per month is:

(19 + 7 + 10) / 50 = 36 / 50 = 0.72

We can assume that this proportion is roughly the same for the entire company, so we can estimate the number of employees who read at least one book per month as:

0.72 x 600 = 432

Therefore, there are 432 workers, on average, who read at least one book each month.

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To find the point on the hyperbola xy = 8 that is closest to the point (3, 0), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

Let's denote the coordinates of the point on the hyperbola as (x, y). Substituting the given coordinates (3, 0) and the equation of the hyperbola xy = 8 into the distance formula, we get:

Distance = √[(x - 3)² + (y - 0)²]

Now, we need to minimize this distance. Since the distance is squared, we can minimize the square of the distance, which is:

Distance² = (x - 3)² + y²

To minimize this expression, we can take its derivative with respect to x and y and set them equal to zero. Let's differentiate Distance² with respect to x and y:

d(Distance²)/dx = 2(x - 3)

d(Distance²)/dy = 2y

Setting these derivatives equal to zero, we have:

2(x - 3) = 0 => x = 3

2y = 0 => y = 0

Therefore, the point on the hyperbola xy = 8 that is closest to the point (3, 0) is (3, 0).

Note that the distance from (3, 0) to any point on the hyperbola xy = 8 is always the same, which means the hyperbola is equidistant from the point (3, 0).

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:-785

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scale measure is a one-to-one thing while volume is a cubed thing. If we want to find the volume that the actual car can hold, we have to find the volume that results from cubing the one-to-one measure.

\(\frac{m}{a}:\frac{1^3}{48^3}=\frac{1}{110592}\) That last fraction is the ratio of the volumes. Remember, volume is a cubed measure (where distance is a linear measure and area is a squared measure. We find ratios of areas by squaring the one-to-one {distance} measures, and we find ratios of volumes by cubing the one-to-one measures). We have a given volume for the model (m in our ratio) and we are looking for the capacity that the actual car (a in our ratio) can hold. Set up the proportion as follows:

\(\frac{1}{110592}=\frac{90}{x}\) and cross multiply

x = 9,953,280 inches cubed

Answer:

lol i would listen to music or do/stay somewhere comfortable it helps me  

Step-by-step explanation:

Answer:

(a): \(x-5> 4\) and \(2x-10 >8\)

Step-by-step explanation:

Given

Pairs of inequalities

Required

Select which is equivalent

(a): \(x-5> 4\) and \(2x-10 >8\)

Multiply both sides of \(x-5> 4\) by 2

\(2 * (x - 5) > 4 *2\)

\(2 * x - 2*5 > 4 *2\)

\(2x - 10 > 8\)

Hence: \(x-5> 4\) is equivalent to \(2x - 10 > 8\)

(b): \(x-5> 4\) and \(2x+10 >8\)

Multiply both sides of \(x-5> 4\) by 2

\(2 * (x - 5) > 4 *2\)

\(2 * x - 2*5 > 4 *2\)

\(2x - 10 > 8\)

Hence: \(x-5> 4\) is not equivalent to \(2x+10 <8\)

(c): \(x+5> 4\) and \(2x+10 <8\)

Multiply both sides of \(x+5> 4\) by 2

\(2 * (x + 5) > 4 *2\)

\(2 * x + 2*5 > 4 *2\)

\(2x + 10 > 8\)

Hence: \(x+5> 4\) is not equivalent to \(2x+10 <8\)

Answer:

16

Step-by-step explanation:

The greatest common factor is the greatest integer which divides evenly into both numbers.  One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.

We start with 64.

Its divisors are 1, 2, 4, 8, 16, 32, 64.  The biggest of those numbers which divides evenly into 80 is 16.  

Thus, the greatest common factor is 16.

a formula for the surface area of the box in terms of only x , the length of one side of the square base is A =  x² + 170368 cm³/x

The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.

Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are

A = 2lh + lw + 2wh

Now for a box of square base, l = w = x.

So, A = 2xh + x² + 2xh

A = x² + 4xh

Since V = x²h and V = 42592 cm³,

h = V/x² = 42592/x²

substituting h into A, we have

A =   x² + 4xh

A =  x² + 4x(42592 cm³/x²)

A =  x² + 4 × 42592 cm³/x

A =  x² + 170368 cm³/x

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When the endpoint is a(n) open dot or circle, the number represented by the endpoint is not a part of the solution set.

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

From the number line in the question, we can see that:

As a general rule, open circles implies that the number at that endpoint is not included part of the solution set.

Hence, the complete statement is "when the endpoint is a(n) open dot or circle, the number represented by the endpoint is not a part of the solution set."

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Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Answer:

y = 8/7x + 5/7

Step-by-step explanation:

Change in y over change in x to get the slope.

Because if we take two obtuse triangles, then their sum will exceed 180°. We know, sum of all angles of a triangle is 180° and so a triangle couldn't be formed.

We have shown that |F(xn) - F(x)| = 0, indicating that lim F(xn) = F(x). Therefore, F(xn) converges to F(x) as n approaches infinity. Since F preserves convergence, we can conclude that the functional F: Y → R is continuous.

To prove that the functional F: Y → R, defined as F(x) = lim xn as n approaches infinity, is continuous, we need to show that for any sequence of elements (xn)n in Y that converges to x in Y, the corresponding sequence F(xn) converges to F(x). This can be done by showing that the limit of F(xn) as n approaches infinity is equal to F(x), indicating that F preserves convergence. By establishing this property, we can conclude that F is continuous.

Let (xn)n be a sequence in Y that converges to x in Y. We want to prove that F(xn) converges to F(x) as n approaches infinity.

Since (xn)n converges to x in Y, we know that (xn)n is a convergent sequence. This implies that the sequence (xn)n is bounded, as convergence implies boundedness. Let M be a bound on the sequence (xn)n, i.e., |xn| ≤ M for all n.

Now, we consider the sequence F(xn). By definition, F(xn) = lim xn as n approaches infinity. We want to show that lim F(xn) as n approaches infinity is equal to F(x), i.e., lim F(xn) = F(x).

Let ε > 0 be given. Since (xn)n converges to x in Y, there exists an N such that for all n ≥ N, ||xn - x|| < ε. This means that |xn - x| ≤ ε for all n ≥ N.

Now, let's consider the difference |F(xn) - F(x)|:

|F(xn) - F(x)| = |lim xn - lim xn| = |lim (xn - xn)| = 0

Hence, we have shown that |F(xn) - F(x)| = 0, indicating that lim F(xn) = F(x). Therefore, F(xn) converges to F(x) as n approaches infinity.

Since F preserves convergence, we can conclude that the functional F: Y → R is continuous.


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Answer:

x = 5 - 2y

y = 5 / 2 - y / 2

Step-by-step explanation:

2x+4y=10

x = 5 - 2y

y = 5 / 2 - y / 2

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.