Consider the points A(2,-1,3), B(7,0,5) and C(0,1, 7), and the line l with symmetric equations 2 - 2 = y +1= 4 5 1. Write the vectors AB and AČ in terms of its components. 2. Determine ZBAC, i.e., the angle between AỔ and AČ. 3. Find the area of AABC. 4. Give a set of parametric equations of the line m that passes through B and is parallel to l. 5. Give an equation (in point-normal form) of the plane a containing the lines l and m.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

29-2(3-5w)>13  Equation/Question

Step 2

29-2(3-5w)>13  Simplify

29-2(3-5w)>13

Step 3

29-2(3-5w)>13  Subtract 23

10w>-10

Step 4

10w>-10  Divide by 10

answer

w>-1

Hope this helps

Answer:

46080

Step-by-step explanation:

multiply all of them

Answer: might be 150 sq ft if the problem is of the irregular figure

We cannot determine the percentage of pegilar grade gasoline sales between 3.27 and 53.63 per gallon or the percentage of regular gasoline sale price > 3.33/gallon as the total sales for both are not provided.

Given data:Pegilar grade gasoline sales between 3.27 and 53.63 per gallon.

Percentage of pegilar grade gasoline sale between 3.27 and 53.63 per gallon can be calculated as:X %.

Therefore,X% = (Sale between 3.27 and 53.63 per gallon) / Total sales * 100.

However, the total sales are not provided so we cannot calculate the percentage.

Further information is required.Similarly, for the second part, given data is:Regular gasoline sale price > 3.33/gallon.

Percentage of regular gasoline sale price > $3.33/gallon can be calculated as:Y %.

Therefore,Y % = (Regular sale price > $3.33/gallon) / Total sales * 100.

However, the total sales are not provided so we cannot calculate the percentage. Further information is required.

To summarize, we cannot determine the percentage of pegilar grade gasoline sales between 3.27 and 53.63 per gallon or the percentage of regular gasoline sale price > 3.33/gallon as the total sales for both are not provided.

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Answer:

1.70 of tax is paid

Step-by-step explanation:

34(1+0.05) = 35.7

35.7-34= 1.70

1 represents out 100%

do 5% in decimal form which is 0.05

Answer:  equation 3x (-4) = -12 has a solution of x = 1, which can be represented on the number line between -2 and -3.

Step-by-step explanation: Based on the number line and the answer choices provided, it appears that the equation modeled on the number line is:

C) 3x (-4) = -12

This equation can be interpreted as "what number multiplied by 3 and then multiplied by -4 will give a result of -12". Solving for x, we get:

3x (-4) = -12

-12x = -12

x = -12/-12

x = 1

Therefore, the equation 3x (-4) = -12 has a solution of x = 1, which can be represented on the number line between -2 and -3.

You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment.

To determine the number of tires that should be sampled to achieve a power of 0.85 in a hypothesis test at the 5% significance level, you'll need to consider a few factors such as effect size, standard deviation, and critical value.

Power analysis is a crucial step in experimental design and helps to ensure that the test is sensitive enough to detect meaningful differences between groups, while maintaining a low probability of making a Type I error (false positive).

In this context, power is the probability of correctly rejecting the null hypothesis when it is false, and the 5% level indicates the maximum probability of making a Type I error. To achieve a power of 0.85, you will need to perform a power analysis using a statistical software or a power analysis calculator.

You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment. The output will provide you with the required sample size to achieve the desired power.

Keep in mind that increasing the sample size generally leads to higher power, but also requires more resources and time. It is essential to balance these factors while designing your experiment to ensure meaningful results without unnecessary costs.

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Answer:

a₂₀ = 75

Step-by-step explanation:

Substitute n = 20 into the n th term rule , that is

a₂₀ = 4(20) - 5 = 80 - 5 = 75

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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Answer:

B

Step-by-step explanation:

I had that same answer. I did it with my teacher and he said it was b

Answer:

m< 3 = 180 - 93

m< 3 = 87 degrees

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

m< 2 is vertically opposite to the 49 degree angle given

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

We can determine angle 3 as;

m< 3 = 180 - 93

m< 3 = 87 degrees

Also,

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

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Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

The distribution of the data is skewed right, which means that the data is not evenly distributed across the range of values.

To calculate the skewness, we can use the formula Skewness = (Mean - Mode) / Standard Deviation. In this case, the mean is 599.2 seconds, the mode is 590 seconds, and the standard deviation is 110.88 seconds. Plugging these values into the formula, we get Skewness = (599.2 - 590) / 110.88 = 0.8094. This indicates that the data is skewed right, as the skewness is greater than 0. A right-skewed distribution typically occurs when the majority of data points are closer to the minimum value, while there are fewer data points near the maximum value. This can be seen in the graphical summary, where the majority of the data points are clustered around the lower end of the range and the tail extends to the right.

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Answer:11/25

Step-by-step explanation:

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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The required explanation for log of base 10 is described.

The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.

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Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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Which sampling method divides the population up into​ sections, randomly selects some of those​ sections, then chooses all the members from the selected sections to​ study?

What is Cluster Sampling?

Cluster sampling is a probability sampling technique where researchers divide the population into multiple groups (clusters) for research. Researchers then select random groups with a simple random or systematic random sampling technique for data collection and data analysis.

So, The above mentioned type of sampling is called cluster sampling.

Cluster sampling is a sampling technique in which the entire population of interest is divide into clusters or groups, then the investigator randomly selects some of these clusters and all the members of these randomly selected clusters are investigated.

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Answer:

Can you speak filipino?

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Answer:

how do you get here my baby mafiajasmine. j.k

Answer:

Ans

AnB = There is no common among A and B

Answer:

The answer is Vertical Line; Yes

Step-by-step explanation:

The answer is Vertical Line; Yes. This is because all equations that are "X =" will always be vertical.  

x=7 represents the equation of a function which is a vertical line

la 4gStep-by-step  im so weird

Answer:

100

Step-by-step explanation:

it is 50 when he sees it in a horizontal line so double it to see how much it is if it where straight

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

b = AC = 3\(\sqrt{2}\) + \(\sqrt{2}\) = 4\(\sqrt{2}\)

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2\(\sqrt{5}\) )² - (3\(\sqrt{2}\) )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = \(\sqrt{2}\)

Then

A = \(\frac{1}{2}\) × 4\(\sqrt{2}\) × \(\sqrt{2}\) = 2 × \(\sqrt{2}\) × \(\sqrt{2}\) = 4 cm²

Sorry i can't answer that, but i have something know what ways better to answer of all your problems that is "QuickMath" or "Cymath" go search at your browser then put your equation

Step-by-step explanation:

I hope it helps