Please help!! Needed asap, due soon!!:
Given line m and point O not on line m, the image of line m is constructed through a dilation centered at O with a scale factor of 3. Which of the following best describes the image of line m?

A. a line parallel to line m

B. a line intersecting with line m

C. a line passing through point O

D. a line perpendicular to line m

The solution to the inequality 6 + t ≤ 13 is given as follows:

t ≤ 7.

An inequality is solved similarly to an equality, isolating the variable of which the solution we want to find.

The difference, of the inequality compared to an equality, is that the solution contains an infinity number of values, instead of a finite number of values. This is because the solution of an inequality is composed by a range of values in one of the infinity number sets.

For this problem, the inequality is given as follows:

6 + t ≤ 13

Hence the solution for variable t is found isolating it as follows:

t ≤ 13 - 6 (moving every term that is not the variable to the opposite side)

t ≤ 7.

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Answer:

2309

Step-by-step explanation:

V=\(\pi r^{2} h\)

plug in

V=2309.07

\(\boxed{9}\rule[0.35em]{10em}{0.25pt}\stackrel{\sqrt{86}}{\approx 9.27}\rule[0.35em]{17em}{0.25pt}\boxed{10}\)

Answer:

Step-by-step explanation:

y-terms cancel out and are eliminated as a result of adding the two equations.

a) To find the probability of getting a sum of 5 when rolling two dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

The possible outcomes when rolling two dice are given by the product of their respective sides. Each die has six sides, so there are 6 x 6 = 36 total possible outcomes.

The favorable outcomes for a sum of 5 are (1, 4), (2, 3), (3, 2), and (4, 1), which amounts to four possibilities.

Therefore, the probability of getting a sum of 5 is 4/36, which simplifies to 1/9.

b) To find the probability of getting a sum of 8 or 6 when rolling two dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

For a sum of 8, the favorable outcomes are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2), which amounts to five possibilities.

For a sum of 6, the favorable outcomes are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1), which also amounts to five possibilities.

Thus, the total number of favorable outcomes for a sum of 8 or 6 is 5 + 5 = 10.

Therefore, the probability of getting a sum of 8 or 6 is 10/36, which simplifies to 5/18.

c) To find the probability of getting a sum greater than or equal to 9 when rolling two dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

For a sum of 9, the favorable outcomes are (3, 6), (4, 5), (5, 4), and (6, 3), which amounts to four possibilities.

For a sum of 10, the favorable outcomes are (4, 6), (5, 5), and (6, 4), which amounts to three possibilities.

For a sum of 11, the favorable outcomes are (5, 6) and (6, 5), which amounts to two possibilities.

For a sum of 12, there is only one favorable outcome, which is (6, 6).

Thus, the total number of favorable outcomes for a sum greater than or equal to 9 is 4 + 3 + 2 + 1 = 10.

Therefore, the probability of getting a sum greater than or equal to 9 is 10/36, which also simplifies to 5/18.

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Answer:

B

Step-by-step explanation:

On a coordinate plane, parallel lines have the same slope as geometric figures are true. Thus option B is correct.

Marks, splines, spheres, and curved are used to build enclosed geometric shapes. We can see these shapes all around us. Illustrations of geometric shapes include circles, rectangles, triangles, and others. Any configuration of points, columns, or angles is a geometry figure.

A point is the most fundamental algebraic concept because it has no boundaries. Simply put, a point upon that plane is a location. A dot is used to symbolize it. A plane can be identified by three non-straight-line points.

As two or much more vectors seldom cross each other and are located on the same dimension, these are said to be parallel. The slope of these lines is constant. Coplanar lines that seem to be parallel are the ones that don't cross. Therefore, option B is the correct option.

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The linear function is y = (-1/2)x + 4.

What is a linear function?

A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.

Here, we have

Given,

A linear function has an x-intercept of 8 and a y-intercept of 4.

So, The two points on the line are (8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 - 8).

slope(m) = -4/8.

slope(m) = -1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Hence, the linear function is y = (-1/2)x + 4.

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The remainder when the original number is divided by 130 is 0 using Chinese Remainder Theorem.

To solve this problem, we need to use the Chinese Remainder Theorem. Since the number has a remainder of 3 when divided by 10 and a remainder of 3 when divided by 13, we can write it as:

x ≡ 3 (mod 10)
x ≡ 3 (mod 13)

To find the solution, we can use the following steps:

Step 1: Find a solution to each congruence.

For the first congruence, we can see that x = 13k + 3 is a solution, where k is an integer. This is because any number of the form 13k + 3 will leave a remainder of 3 when divided by 10.

For the second congruence, we can use the same method and find that x = 10m + 3 is a solution, where m is an integer.

Step 2: Combine the solutions using the Chinese Remainder Theorem.

To combine the solutions, we need to find a number that satisfies both congruences. One way to do this is to use the equation:

x = aM(y)(b) + bM(x)(a)

where a = 10, b = 13, M(a) = 13, and M(b) = 10. Plugging in these values, we get:

x = 10(13)(y) + 13(10)(x)

Simplifying this equation, we get:

x = 130y + 130x - 130x + 130y

x = 260y

So any number of the form 260y will satisfy both congruences.

Step 3: Find the remainder when divided by 130.

To find the remainder when divided by 130, we can simply take the remainder of 260y when divided by 130. Since 260 is a multiple of 130, we know that the remainder will be 0. Therefore, the remainder when the original number is divided by 130 is 0.

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The arithmetic mean aₙ of the given terms is equal to 1.

In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the arithmetic mean of the given terms by using the following formula;

\(a_n=\frac{(a_{n-1}\;+\;a_{n+1})}{2} \\\\a_n=\frac{(4\;+\;(-2))}{2} \\\\a_n=\frac{(4\;-\;2)}{2}\)

aₙ = 2/2

aₙ = 1

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Answer:

-49/15

Step-by-step explanation:

To determine the position of point A on the number line, we need to subtract the length of segment AB from the position of point B.

Given that the position of point B is 2/5, we can subtract the length of AB, which is 3 2/3, from 2/5.

To subtract fractions, we need to find a common denominator. The least common denominator for 3/3 and 5 is 15.

Converting 3 2/3 to an improper fraction:

3 2/3 = (3 * 3 + 2)/3 = 11/3

Subtracting the fractions:

2/5 - 11/3 = (2 * 3 - 11 * 5)/(5 * 3) = (6 - 55)/15 = -49/15

The position of point A is -49/15 on the number line.

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

The asymptotic relationship between x and x^2(2+sin(x)) is x=Θ(x^2(2+sin(x))) and x=o(x^2(2+sin(x))).

To determine the asymptotic relationship between x and x^2(2+sin(x)), we need to examine the growth rates of these functions as x approaches infinity.

x^2(2+sin(x)) grows faster than x because the x^2 term dominates over x. Additionally, the sinusoidal term sin(x) does not affect the overall growth rate significantly as x becomes large.

Based on this analysis, we can conclude the following relationships:

x=Θ(x^2(2+sin(x))): This notation indicates that x and x^2(2+sin(x)) have the same growth rate. As x approaches infinity, the difference between the two functions becomes negligible.

x=o(x^2(2+sin(x))): This notation indicates that x grows at a slower rate than x^2(2+sin(x)). In other words, the growth of x is "smaller" compared to x^2(2+sin(x)) as x becomes large.

Other notations such as x=O(x^2(2+sin(x))), x=Ω(x^2(2+sin(x))), and x=ω(x^2(2+sin(x))) do not accurately represent the relationship between x and x^2(2+sin(x)). These notations imply upper or lower bounds on the growth rates, but they do not capture the precise relationship between the two functions.

In summary, the correct asymptotic relationships are x=Θ(x^2(2+sin(x))) and x=o(x^2(2+sin(x))).

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Answer: 3/55

Step-by-step explanation:

From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.

If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.

Therefore, the probability he will win a prize on both picks will be:

= 3/11 × 2/10

= 6/110

= 3/55

Answer:

A

Step-by-step explanation:

Gts called 12.8 and the new one that is physical

Answer:

(1,7/2)

Step-by-step explanation:

you've forgotten the picture :)

Answer: Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

HOPE THIS HELPS

9514 1404 393

Answer:

 25/24

Step-by-step explanation:

Annie has 1 - 5/8 = 3/8 of the first pie left.

Annie has 1 - 1/3 = 2/3 of the second pie left.

The total fraction of pie left is ...

  3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left

Answer:

25/4

Step-by-step explanation:

........................

The value of x/w is 1/3.

...........

Answer:

107/30

Step-by-step explanation:

[2 1/3-(4 2/5)]-1 1/2

= 7/3 - 22/5 - 3/2

=70/30 - 132/30 -45/30

= 107/30

The required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line is called a parabola.

Given that, a parabola has the directrix x=6 and the focus (3,-5), we need to find the equation of the parabola,

The standard form of a left-right parabola is given as:

4p(x-h) = (y-k)²

Focus = (p+h, k)

Therefore,

h+p = 3....(i)

Directrix =

x = h-p

h-p = 6...(ii)

Solving the equations we get,

h = 9/2

p = -3/2

Substitute into the standard form:

4p(x-h) = (y-k)²

4(-3/2)(x-9/2) = (y+5)²

-6(x-9/2) = (y+5)²

\(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

Hence, the required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

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The question is incomplete so, i solved for the attached question

9.5 liters is approximately equal to 10.037435 quarts.

To convert 9.5 liters to quarts, we need to determine the conversion factor between the two units. The conversion factor between liters and quarts is 1 liter = 1.05668821 quarts. Therefore, to convert 9.5 liters to quarts, we can multiply 9.5 by the conversion factor:

9.5 L * 1.05668821 qt/L ≈ 10.037435 qt

Hence, approximately 9.5 liters is equal to 10.037435 quarts.

It's important to note that the conversion factor between liters and quarts may vary slightly depending on the specific context or rounding rules applied. However, using the commonly accepted conversion factor of 1 liter = 1.05668821 quarts provides a close approximation.

Therefore , 9.5 liters is approximately equal to 10.037435 quarts.

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Using trigonometric relations we can see that:

y = 20

x = 40

Here we can see a right triangle and we want to find the missing side lengths, to do so we need to use trigonometric relations.

Remember that:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know we will get:

tan(60°) = 20√3/y

Solving for x:

y = 20√3/(tan(60°)

y = 20

And for the hypotenuse we can use:

sin(a) = (opposite cathetus)/hypotenuse

sin(60°) = 20√3/x

Solving for y:

x =  20√3/sin(60°)

x  = 2*20 = 40

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The answer is D.

The portion of the statement \({x\to 0}\) says we're looking at the graph as the x-values get closer to 0.  So we're looking at x-values like 0.1, 0.01, 0.001, 0.0001, etc and -0.1, -0.01, -0.001, -0.0001, etc.

The \(\lim\limits_{x\to 0}f(x)\)\(\lim\limits_{x\to 0}f(x) = 1\) as a whole is asking "are the y-values on the graph headed towards a specific y-value as x-values get closer to 0?"

As you move towards x = 0 from either side, the y-values get closer to y=1.

So \(\lim\limits_{x\to 0}f(x)=1\).

From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

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Answer:

area of traingle=1/2(sin130×AB×AC)

85×3=sin130×AB×AB

255=76×AB²

255/76=AB²

√332.88=AB

AB=18.24

AC=18.24

Step-by-step explanation:

Hope this helps.

Answer: 4.20 gigabyte

Step-by-step explanation:

Based on the information given in the question, the equation that can be used to determine the the number of gigabytes of data Peyton can use while staying within her budget will be:

48 + 3g = 60.60

3g = 60.60 - 48

3g = 12.60

g = 12.60/3

= 4.20

The number of gigabytes of data is 4.20g

Answer:

Equation: 3g+48=60.6

Answer: g=4.2