Consider the line parametrized by r(t) = (3.-1,7) + (8,12,-6). Identify the parametrizations equivalent to r(t). r(t) = (11,11,1)+1(8,12,-6) r2(t) = (4.0,8) +1(8,12,-6) r3 (1) = (6, -2, 14) + (8,12,-6) r.(t) = (3.-1,7)+1(-4, -6,3) r's(t) = (8, 12,-6) +1(3.-1.7) ro(t) = (-1, -7, 10) + 1(4.6.-3) incorrect

The probability of getting a 4, and taking a green ball is 1/48.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

The probability of flipping a coin and getting a head is 1/2. The probability of tossing a die and getting a 4 is 1/6. The probability of taking a green ball out of a bag is 1/4. Therefore, the probability of flipping a coin and getting a head, tossing the die and getting a 4, and taking a green ball out of a bag is (1/2) * (1/6) * (1/4) = 1/48.

Hence, the probability of getting a 4, and taking a green ball is 1/48.

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The points shown on the graph are (-1,2) and (1,-2).

d = sqrt{-2-2)^2 + (1-(-1))^2}

d = sqrt{(-4)^2 + (1+1)^2}

d = sqrt{16 + 4}

d = sqrt{20}

d = 4•sqrt{5}

d is about 8.94427191.

Rounded to the nearest tenth, we get d = 8.9.

Answer:

4.5

Step-by-step explanation:

The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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The least positive integer that will be divisible by both 15 and 35 will be 105.

The given integers are 15 and 35.
As we know that the least positive integer will be divisible by both 15 and 35 will be LCM ( least common factor) of 15 and 35.
The least common multiple of LCM of two integers is the common multiple of two numbers such that it is the least among all common multiples.
For example, LCM of 3 and 5 will be 15 because among all common multiples of 3 and 5, 15 will be least common multiple.
For LCM of 15 and 35, let's write multiples of both the numbers.
Multiples of 15 = 15,30,45,60,75,90,105,120,135,150,165,180,195,210,....
Multiples of 35= 35,70,105,140,175,210,...
We can see that 105 and 210 are two common multiples out of which 105 is the least multiple.
Therefore, the least positive integer that will be divisible by both 15 and 35 will be 105.

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Answer:

  see attached

Step-by-step explanation:

-5.7 is 5.7 units to the left of 0 on the number line. It is 7/10 of the way from -5 to -6.

__

It is a reflection of the point +5.7 across the 0 point on the number line.

The equation z = xy^2 can be rearranged to find y as y = z / x. This formula allows us to express y in terms of x and z, enabling us to determine y using given x and z values.

In the equation z = xy2, we can rearrange the equation to find y and then express y in terms of x and z. Let's go over each step:

1. Begin by solving the equation z = xy2. 2. To find the y2 term, divide both sides by x: z/x = y2.

3. To find y, take the square root of both sides: (z/x) = y.

4. Condense the formula to y = z / x.

As a result, y may be represented as y = z / x in terms of x and z. Using the x and z values as inputs, this equation enables us to determine the value of y. Remember that depending on the values of z and x, taking the square root may result in both positive and negative results.

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The x and y values in the figure are

x = 6

y = 3/2

In the figure, the values of x and y is solved by using the  given information which is:

2x + 1 = x + 7

collecting like terms

2x - x =  7 - 1

x = 6

Since the lines are parallel, then we have that

3y - 8 = y - 5

collecting like terms

3y - y = -5 + 8

2y = 3

y = 3/2

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Common ratio is 4

means each time the sequence becomes 4times more

Check B

Check D

Yes, Option B and D are correct

1 is C

2 is D

3 is C

4 is A

5 is D

5 is A

7 is B

Answer: No

Step-by-step explanation:

An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.

In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.

Answer:

B

Step-by-step explanation:

They all follow a sequence such as always add 4 or take 6 away some of them multiply so it is B because it does not follow the sequence

The error for the 3rd week, using SES forecast with α=0.3, is -0.1.

To calculate the error for the 3rd week using SES (Simple Exponential Smoothing) forecast, we first need to calculate the forecasted value for the 3rd week. The forecasted value is calculated using the formula:

\(F_t = α * A_{t-1 }+ (1 - α) * F_{t-1}\)

Where:

\(F_t\) is the forecasted value for week t

\(A_{t-1}\) is the actual value for the previous week (week t-1)

\(F_{t-1}\) is the forecasted value for the previous week (week t-1)

α is the smoothing factor

Given the time series values for weeks 1, 2, 3, and 4 as 22.00, 7.00, 10.00, and 13.00 respectively, and α=0.3, we can calculate the forecasted value for the 3rd week as follows:

F₃ = 0.3 * 7.00 + (1 - 0.3) * 10.00

= 2.1 + 7

= 9.1

The error for the 3rd week is then calculated as the difference between the actual value and the forecasted value:

Error₃ = Actual Value₃ - Forecasted Value₃

= 10.00 - 9.10

= -0.1

Therefore, the error for the 3rd week, using SES forecast with α=0.3, is -0.1.

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Answer:

131550

Step-by-step explanation:

To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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Plzvvvvghhhghjjjhhuggfvkihh

Answer:

whats the question?

Step-by-step explanation:

Answer:

1.5 years

Step-by-step explanation:

She will give up making $28,000 per year for 2 years.  This means that she will give up making $56,000 in total.

$28,000 × 2 = $56,000

She also pay $34,000 in total to costs to get her degree.  She invested a total of $90,000.

$56,000 + $34,000 = $90,000

After graduating, she makes $60,000 a year.  It will take her 1.5 years to recover her investment.

90,000/60,000 = 1.5

Answer:

5

Step-by-step explanation:

5×3=15

15÷3=5

Hope this helps :)

Answer: 3

Step-by-step explanation: So first you multiply 5 x 3/5 and then you get ur answer of 3 by 5/1 x 3/5 and then you do 5 x 3 / 1 x 5 = 15/5 and you convert it and you get 3 :)

In this problem

we have

total letters=18

total letters that do not include the letter O=15

therefore

the probability is

P=15/18

simplify

The circumference is 160 feet for a length of 40 feet. The perimeter is 200 feet for a length of 50 feet. The circumference is 240 feet for a length of 60 feet.

A rectangular region with a 1200 square foot area will have a different perimeter depending on how long it is. The perimeter will be 160 feet if the area is 40 feet long. The length of 40 feet is multiplied by four to get a final measurement of 160 feet. In a similar manner, if the area is 50 feet long, the perimeter will be 200 feet.

The length of 50 feet is multiplied by four to get a final result of 200 feet. Finally, the perimeter will be 240 feet if the area is 60 feet long. The length of 60 feet is multiplied by four to get a final measurement of 240 feet. A rectangular region with an area of 1200 square feet will therefore have a different perimeter depending on its length, with a length of 40 feet resulting in a perimeter of 160 feet, a length of 50 feet resulting in a perimeter of 200 feet, and a length of 60 feet resulting in a perimeter of 240 feet.

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Answer:

$201,600

Step-by-step explanation:

Multiply 34 and 84, which is 2016. Then add 2 zeros at the end because there are 2 zeros in 8400. So, the answer is 201,600 dollars.

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is \(\dfrac{6}{5}\) not equivalent to \(\dfrac{3}{2}\).

Solution:

If a, b, c are real numbers, then

\(\dfrac{a}{b}=\dfrac{a\times c}{b\times c}\)

The given fraction is \(\dfrac{3}{2}\). It can be written as:

\(\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}\)

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be \(\dfrac{6}{4}\), not \(\dfrac{6}{5}\).

Therefore, the correct option is A.

Answer:

Vertex for 8: (-1,-1) Aos for 8: -1

Vertex for 9 (5,0) Aos: 5

I’m not sure about the solution because I’m not sure what you mean by solutions. So sorry!!! :-(

Answer: s= -8

Step-by-step explanation:

The gradient of the ski slope can ge used as the slope (literally) of a line equation:

y = mx + b,

where m is the slope and b the y-intercept (the value of y when x = 0).

The first slope would be y = -(1/3)x + b.

The slope is (-1/3) since the ski run is headed downhill.  The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").

y' = -(1/3)x' + b

We may assume that b is the same for both slopes - they start and end at the same point.

We can find b by using the given point (2,-3):

y' = -(1/3)x' + b

-3 = -(1/3)(2) + b

-3 = -(2/3) + b   [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]

-7/3 = b

b = -(7/3)

The second ski slope, y', thus has the equation

y' = (1/3)x' -(7/3)

We want the value of s in (s, -5).

y' = (1/3)x' -(7/3)

-5 = (1/3)s -(7/3)

(1/3)s = -5 +(7/3)    [-15/3 + 7/3 = -8/3]

(1/3)s = -(8/3)    [Multiply both dies by 3]

s = -(24/3)  

s = -8

Answer: He had 48.75 oz of salsa.

Step-by-step explanation:

I guess that Clay is filling 6.5 oz bottles of salsa.

And we know that he was able to fill 7.5 of these bottles, then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces, this is:

M = 7.5*6.5 oz = 48.75 oz

This means that Clay had 48.75 ounces of Salsa

A drawn model to show this is seen below.

Each big square represents 0.5 oz, and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times, and count the squares, and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.

The size of the key space is 256^8, or 2^64. The average key search time would be 2^64/processing power of PC, which would be a very large number.

The question is asking about the size of the key space if 8 randomly chosen 8-bit ASCII characters are used, and how long it would take to find a key on a single PC.

The size of the key space if all 8 characters are randomly chosen 8-bit ASCII characters is 256^8 = 2^64 = 18,446,744,073,709,551,616.

The average key search time with a single PC would be 18,446,744,073,709,551,616 / 2,000,000,000,000 (2 trillion) operations per second = 9,223,372,036,854,775.8 seconds, which is approximately 292,030 years.

The size of the key space for an 8-bit ASCII character is 2^64 combinations. On average, it will take a single PC 2^64 / (processing speed of PC in Hz) seconds to search through the entire key space.

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The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.

From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).

The correct answers are (d) (-2, 0) and (1, 0).

Answer: 1st, 3rd, and 5th

Step-by-step explanation: Big trust

Answer:

1st, 3rd, 5th

Step-by-step explanation:

just did it on edge and got it right

PLEASE MARK ME BRAINLIEST

Answer:

p = -10 and p = -5

Step-by-step explanation:

p must be less than -2.5So, the possible value of p from the given options are,p = -10 and p = -5.