Find the equation of the set of points P, the sum of whose distances from A(4,0,0) and B(−4,0,0) is equal to 10.

Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

each person will mow 50,000 square yards

Step-by-step explanation:

Given;

mow Richard Richerson's lawn = 600,000 square yards

number of people, = 12 people

The average number of square yards each person will mow is given by;

= 600,000 square yards / 12 people

= 50,000 square yards / person

Therefore, each person will mow 50,000 square yards

Answer:

The y-intercept of the function represented in the graph will be: (0, 2)

The graph is also attached.

Step-by-step explanation:

Given the function

\(y=3x+2\)

the y-intercept of the function can be determined by setting x=0 and solving for y.

so

\(y=3x+2\)

\(y=3(0)+2\)

\(y=0+2\)

\(y=2\)

Thus, the y-intercept of the function represented in the graph will be: (0, 2)

The graph is also attached.

Answer:

equal to

Step-by-step explanation:

i took test

Answer:

The answer is (8,-9)

Step-by-step explanation:

The best way to go about this type of problem is by visualizing the translations at hand. We know that X comes first, (X,Y), in an ordered pair. The X coordinate is in regards to where the point is on the X axis, or left/right movement, whilst the Y is for up and down. As the problem states that the point is moved four units down, we can simply subtract 4 from the y coordinate, as it is in regards to up/down motion. This brings the new point to (-2,-9). As for reflections, if it is over the X axis the y coordinate sign is flipped and if it is over the y, as in the problem, the x coordinate sign is flipped. This will bring the new set to (2,-9). Lastly, there is the translation 6 units up. As we have learned, this is an up/down translation, so it pertains to the y coordinate. The final operation is to ADD 6 to the y coordinate thus bringing us to the final answer: (8,-9).

Step-by-step explanation:

-2 -0.5b + 12 = 0.3b + 6.2

-2 + 12 - 6.2 = 0.3b + 0.5b

3.8 = 0.8b

b = 3.8/0.8

= 4.75

Answer:

4.75

Step-by-step explanation:

-2-0.5b + 12 = 0.3b + 6.2

Move all terms to the left:

-2-0.5b + 12 - (0.3b + 6.2) = 0

Add all the numbers together, and all the variables

-0.5b - (0.3b + 6.2) + 10 = 0

Get rid of parentheses

-0.5b - 0.3b - 6.2 + 10 = 0

Add all the numbers together, and all the variables

-0.8b + 3.8 = 0

Move all terms containing b to the left, all other terms to the right

-0.8b = -3.8

b= -3.8/-0.8

b= 4+0.6/0.8

b= 4.75

Answer:

C

Step-by-step explanation:

The answer is 4.83 inches. In Chillyville, the average yearly snowfall is approximately normally distributed with a mean of 55 inches. Given that 15% of the years have a snowfall exceeding 60 inches, we can find the standard deviation using the z-score formula and the properties of the normal distribution.

A z-score corresponding to the 85th percentile (since 15% of the years exceed 60 inches) can be found in a standard normal table, which is approximately 1.04. The z-score formula is:

z = (X - μ) / σ

Where z is the z-score, X is the value (60 inches), μ is the mean (55 inches), and σ is the standard deviation we want to find.

1.04 = (60 - 55) / σ

Solving for σ:

σ = (60 - 55) / 1.04
σ ≈ 4.81

The standard deviation is closest to 4.83 inches among the given options. Therefore, the standard deviation of yearly snowfall in Charleville is approximately 4.83 inches.

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Answer:

The point for C will be (-1, 6) the point for D will be (6, 6) and the point foe B will be (-1, -1)

Step-by-step explanation:

3 x 2 = 6

3 x 2 = 6

You go 3 more units to the right on point D and you go 3 more units up on point C and point B stays the same

Answer:18

Step-by-step explanation:

Because 40% of 45 is 18

Answer:

Step-by-step explanation:

The total probability that one of the candy canes is more than 1 gram heavier than the other is:
P(Z > 1 or Z < -1) = P(Z > 1) + P(Z < -1) = 1 - Φ((1 - μ_Z)/σ_Z) + Φ((-1 - μ_Z)/σ_Z)

Let's assume the mean weight of a candy cane is μ and its standard deviation is σ. Then, the weights of both of your candy canes are approximately normally distributed with mean μ and standard deviation σ.

Let X and Y be the weights of your candy cane and your friend's candy cane, respectively. The difference between their weights, Z = X - Y, is also approximately normally distributed with mean μ_Z = μ_X - μ_Y = 0 and standard deviation σ_Z = √(σ_X^2 + σ_Y^2) = √(2)σ.

The probability that one of the candy canes is more than 1 gram heavier than the other is equal to the probability that Z > 1 or Z < -1. This can be calculated using the cumulative distribution function of the standard normal distribution:

P(Z > 1) = 1 - P(Z < 1) = 1 - Φ((1 - μ_Z)/σ_Z)

P(Z < -1) = Φ((-1 - μ_Z)/σ_Z)

Where Φ is the cumulative distribution function of the standard normal distribution.

So, the total probability that one of the candy canes is more than 1 gram heavier than the other is:

P(Z > 1 or Z < -1) = P(Z > 1) + P(Z < -1) = 1 - Φ((1 - μ_Z)/σ_Z) + Φ((-1 - μ_Z)/σ_Z)

Note that this assumes that the weights of all the candy canes are approximately normally distributed.

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The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

Given,

Company A:

Charge for an hour =$ 70

Equipment fee = $ 150

Charge for ' t ' hours = 70 x t = 70t

Total cost = Equipment fee + charge for t hours

AA = 150 + 70t

Company B:

Charge for an hour =$ 55

Equipment fee = $ 300

Charge for 't' hours = 55 x t = 55t

Total cost = Equipment fee + charge for t hours

 BB = 300 + 55t

Now, we have to find

BB = AA

300 + 55t = 150 + 70t

300 – 150 = 70t – 55t

150 = 15t

t = 150 / 15

t = 10

That is,

The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

yes also what is the question

To solve this, all you need to do is compare the ratio to the amount of SUVS there are.

5/9 (SUVs to sedans)

140/? (SUVs to sedans)

140 ÷ 5 = 28

9 x 28 = 252

140/252

There are 252 sedans in the car dealership! :D

Answer:

252 Sedans

Step-by-step explanation:

your welcome ;)

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

It is very blurry and I can't seem to figure out the area because it does not have any length or width but I have a tip for you you should count the boxes in the shape maybe that could help you.

The length of the pendulum using equation is 43.56 feet.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given equation that represent the time of pendulum for one swing is

=> T = \(\frac{2\sqrt L}{3.3}\)

Now T = 4 sec then ,

=> 4 = \(\frac{2\sqrt L}{3.3}\)

=> 4*3.3 = 2\(\sqrt L\)

=> \(\sqrt L = 2\times3.3 = 6.6\)

=> L = 43.56 feet.
Hence the length of the pendulum using equation is 43.56 feet.

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Answer:

Equation of line l,

3x-4y=1/2

y=3/4x-1/2

we get,

slope of line l =3/4

Equation of line m,

x-5=2y

y=1/2-5/2

Hence slope of line m=1/2

Slope of line l is not equal to slope of line m. Hence the line are not parallel.

Slope of line l* slope of line m ,

(3/4)*(1/2) =3/8

Since the product of slope of line l and the slope of line m is not equal to -1, the lines are not perpendicular.

Hence the lines are neither perpendicular nor parallel..

Answer:

none are parallel

Step-by-step explanation:

what direction are you being asked to reflect them

Step-by-step explanation:

i can give an easy answer and explanation then

The limit lim h→0 ((1/(x+h)^2)-(1/x^2))/h = -1/(x^2). To evaluate the limit lim h→0 ((1/(x+h)^2)-(1/x^2))/h, we first need to simplify the expression inside the limit.

Starting with ((1/(x+h)^2)-(1/x^2))/h, we can use the difference of squares formula to simplify the numerator:
((1/(x+h)^2)-(1/x^2))/h = ((1/(x+h)-1/x)(1/(x+h)+1/x))/h
Next, we can simplify the first factor using the common denominator (x(x+h)):
((1/(x+h)-1/x)(1/(x+h)+1/x))/h = ((x-x-h)/(x(x+h)) * 1/(x+h)+1/x)/h
Simplifying further, we get:
((x-x-h)/(x(x+h)) * 1/(x+h)+1/x)/h = (-h/(x(x+h)) * 1/(x+h)+1/x)/h
Now, we can cancel out the h's in the numerator and denominator:
(-1/(x(x+h)) * 1/(x+h)+1/x)/1 = -1/(x(x+h)) * 1/(x+h)+1/x
Taking the limit as h approaches 0, we get:
lim h→0 -1/(x(x+h)) * 1/(x+h)+1/x = -1/(x^2)
Therefore, the limit lim h→0 ((1/(x+h)^2)-(1/x^2))/h = -1/(x^2).

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The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.

The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

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Answer:

Step-by-step explanation:

it is an ellipse.

The graph of the ellipse (x²/3²) + (y²/2²) = 1 is given in the image below.

An ellipse is a closed curve in a plane that is symmetric around two perpendicular lines known as the ellipse's axis.

The given equation is in the standard form of the equation of an ellipse centered at the origin with its major axis on the x-axis and its minor axis on the y-axis:

(x²/3²) + (y²/2²) = 1

The square of the semi-major axis (a) is 3² = 9, so the semi-major axis is a = 3.

The square of the semi-minor axis (b) is 2² = 4, so the semi-minor axis is b = 2.

Therefore, the characteristic of the given ellipse is:

a²- b² = 9 - 4 = 5

So the characteristic of the ellipse is 5.

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The sum of the digits of n is 3 if n is the second smallest positive integer that is divisible by every positive integer less than 7

What is least common multiple?

The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.

It can be calculated for two or more numbers as well.

For example, LCM of 10, 2 and 7 is 70.

According to the given question:

Now n must be divisible by every positive integer less than 7, or

1, 2, 3, 4, 5, and 6.

Each number that is divisible by each of these is a multiple of their least common multiple.

LCM (1,2,3,4,5,6) = 60

So each number divisible by these is a multiple of 60.

The smallest multiple of 60 is clearly 60, so the second smallest multiple of 60 is 2 x 60 = 120.

Therefore, the sum of the digits of n is 1+2+0 = 3

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Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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The ratio of the areas of the two similar figures is 9 : 16.

We can use comparisons or ratios to compare the size of an object with other objects. The quantity of an object can be in the form of length, speed, mass, time, number of objects, and so on.

For example, penguins have 2 legs, while dogs have 4 legs. We say that the ratio of the number of legs above can be written in three ways, namely:

2 to 4, 2 to 4, or 2/4.

The writing above is read: a comparison of 2 to 4, a comparison between 2 and 4, or a comparison of 2 to 4.

The order of the numbers in the comparison is important and should receive special attention. The first number in the comparison must be written as a numerator, if the comparison is written in fractional form.

Example:

The ratio of the number of penguin and dog legs is 2: 4 or 2/4

The ratio of the number of dog and penguin legs is 4 : 2 or 4/2

According to the question above:

Side figure 1 : side figure 2

6 : (6+2)

6 : 8

3 : 4

The ratio of the areas of two similar figure is equal to the square of the ratio of the corresponding sides.

Squaring the ratio 3 : 4, gives us:

3² : 4² = 9 : 16

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The sum of the possible remainders 816 when nn is divided by 37.

Positive integers are the numbers we use to count: 1,2,3,4, 1 , 2 , 3 , 4 , and so on. Numbers with a fractional part not equal to zero and negative numbers are excluded from a set of positive integers. The operations of addition, subtraction, multiplication, and division can be done with positive integers.

Adding two positive integers will always result in a positive integer. Adding two negative integers will always result in a negative integer.

The two-digit perfect squares are $16, 25, 36, 49, 64, 81$. We try making a sequence starting with each one:

The largest is 81649, so our answer is [816].

The sum of the possible remainders 816 when nn is divided by 37.

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Answer:

5x=180

-5. -5.

×= 175

Answer: I am pretty sure the answer is 24

Step-by-step explanation:

So since the two angles are vertical opposite angles, they are congruent angles. Then,

120 = 5x

120/5 = 5x/5

24 = x

There are a few different ways to approach this question, but one possible explanation is based on the fact that the sine function is periodic, meaning it repeats itself over certain intervals.

The sine function has a period of 2π, which means that sin(x + 2π) = sin(x) for any value of x.Now, let's consider the interval [-2, 2] and imagine that we want to evaluate sin(x) for some value of x outside of this interval. Without loss of generality, suppose that x &gt; 2 (similar arguments can be made for x &lt; -2). Then, we can write x as x = 2πn + y, where n is some integer and y is a number in the interval [0, 2π) that represents the "extra" amount beyond the interval of [-2, 2]. (Note that this decomposition is possible because the period of the sine function is 2π.)

Now, we can use the fact that sin(x + 2π) = sin(x) to rewrite sin(x) as sin(2πn + y) = sin(y). Since y is in the interval [0, 2π), we can evaluate sin(y) using any method that works for that interval (e.g., a lookup table, a series expansion, a graph, etc.). In other words, we can always "wrap" any value of x outside of [-2, 2] into the interval [0, 2π) using the periodicity of the sine function, and then evaluate sin(x) for that "wrapped" value.

Now, why did we choose the interval [-2, 2] in particular? One reason is that this interval is convenient for many practical purposes, such as approximating the sine function using polynomial or rational functions (e.g., Taylor series, Chebyshev polynomials, Padé approximants, etc.). These approximations often work best near the origin (i.e., when x is close to 0), and the interval [-2, 2] contains the origin while still being small enough to be computationally tractable.

Another reason is that many real-world applications that involve trigonometric functions (e.g., physics, engineering, statistics, etc.) often involve angles that are small enough to be within the interval [-2, 2] (e.g., angles in degrees or radians that are less than or equal to 180 degrees or π radians). In these cases, evaluating sin(x) within the interval [-2, 2] is often sufficient for practical purposes.

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