Find the point where the line x = t, y = 1 + t, z = 1 − t intersects the plane 13x + 11y + 20z = 39

Answer:

domain=5,12,3

range=0,4,-3

The graph of the equation, y = -50x + 300, is given in the attachment below.

The equation of a line, where m is the slope or unit rate, and b is the y-intercept or starting value, is expressed as y = mx + b in the slope-intercept form.

Given the situation above, first determine the value of the starting value / y-intercept (b) and that of the slope / unit rate (m).

The starting value / y-intercept is b = 300.

The slope / unit rate is m =  - 50 [this is negative because the distance from home reduces as she drives at the speed of 50 mph]

To write the equation, substitute m = -50 and b = 300 into y = mx + b:

y = -50x + 300.

Thus, the graph of this equation, y = -50x + 300 is shown in the mage attached below.

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Answer:

associative property of multiplication

Step-by-step explanation:

By using the segment method, you handle data in analytics to gain greater insights into our audience's behavior.

Analytics:

Analytic refers the field of computer science that uses math, statistics, and machine learning to find meaningful patterns in data.

Given,

Here we need to find how do you handle data in analytics to gain greater insights into our audience's behavior.

In order to find the solution for this one, we must know the definition for the terms of the following,

Audience's behavior - attitudes that affect the behavior of an audience towards a brand or category.

Data - information that has been translated into a form that is efficient for movement or processing.

Insights - the capacity to gain an accurate and deep understanding of someone or something.

Here we have divide the full question into segment to solve this.

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Answer:

Step-by-step explanation:

The rate of change in the attendance of students between 2018 and 2021 is 1.24.

The term "rate of change" (ROC) describes the rate at which something changes over time.

Thus, it is not the number of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate).

The rate of change is a tool used in finance to comprehend price returns and spot trend momentum.

Divide the change in y-values by the change in x-values to determine the average rate of change.

Identifying changes in measurable values like average speed or average velocity calls for the knowledge of the average rate of change.

So, according to the given table:

The rates of change between 2018 and 2021 are:

2018/2021

93/75

1.24

Therefore, the rate of change in the attendance of students between 2018 and 2021 is 1.24.

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The value of P(-3) =-191 if the given polynomial function is

P(x) = 6x³-5x² - 4x + 4

A polynomial is an expression made up of exponents, constants, and variables that are combined using addition, subtraction, multiplication, and division in mathematics, according to the definition of a polynomial. Polynomials are frequently employed in both mathematics and science. For example, they are employed to define polynomial functions, which are present in a range of fields ranging from elementary physics and chemistry to economics and social science. From straightforward word problems to intricate scientific conundrums, polynomial equations are utilized to represent a broad variety of topics. In high mathematics, polynomials are used to build algebraic varieties and polynomial rings, which are essential concepts in algebra and algebraic geometry.

Given,

P(x)= 6x³-5x²-4x+4

P(-3)=6(-3)³-5(-3)²-4(-3)+4

=6(-27)-5(9)+12+4

=-162-45+16

=-191

So, the value of P(-3)= -191

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The measure of angle V i.e. [tex]m\angle V[/tex] is [tex]60^\circ[/tex].

For the triangle TUV ([tex]\triangle TUV[/tex]), all the sides are of same length i.e. 9. So we can consider this as an equilateral triangle.

We know for an equilateral triangle all of the angles are of same measure.

Now the sum of all angles of a triangle is [tex]180^\circ[/tex] and there are 3 angles in a triangle. So, each angle will be of measure [tex]60^\circ[/tex].

Therefore the measure of [tex]\angle V[/tex] i.e. [tex]m\angle V[/tex] is [tex]60^\circ[/tex].

Also the basic three properties of an equilateral triangle are:

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On Thursday when the correct time is 5:00h, watch shows 4:24h.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The watch is set at 11:00 h on Sunday.

Also, the watch loses 8 seconds in every hour.

To determine the time in watch on Thursday,

In one day total hours = 24 hours.

from Sunday 11:00 to Thursday 11:00

Total hours = 24 x 4 = 96 hours

And 11:00 to 5:00, total = 6 hours

Total hours = 96 + 6 = 102 hours

Since, watch loses 8 seconds in 1 hour

So in 102 hours watch losses = 102 x 8 = 816 seconds

816 seconds = 816/60 minutes = 13.6 minutes

The watch loses 13.6 minutes in 102 hours.

So the exact time will be, 4 : 24.

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It is a supposition that it is true if two points are equally far apart from a third point and the three points are collinear.

If three or more points lie on a single straight line, they are said to be collinear. An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two points determine a line, two points are trivially collinear.

Collinear points are those that are situated along a  identical straight line.

The supposition is correct since all three points are located on the same line.

if the two points create a straight angle that includes the third point, then the conjecture is true.

If the two points do not create a straight angle with the third point, then the conjecture is false.

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Answer:

  24.98 units

Step-by-step explanation:

You want the perimeter of triangle ABC with vertices A(-5, 4), B(1, -2), and C(3,6).

The distance between two vertices can be found using the formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The  distance between A and B is ...

  d = √((1 -(-5))² +(-2 -4)²) = √(6² +(-6)²) = 6√2 ≈ 8.485

The attached spreadsheet performs the same calculation on all the pairs of points. (The distance from each point to the one below it is listed.)

The perimeter of the triangle is the sum of the segment lengths. That is also shown in the spreadsheet.

  P = AB +BC +CA

  P = 8.485 +8.246 +8.246 ≈ 24.98

The perimeter of triangle ABC is about 24.98 units.

__

Additional comment

When calculations are repetitive, we like to let a spreadsheet do them.

Answer: x = 25

Step-by-step explanation:

(x-7) = 36/2

x-7 = 18

x = 18 +7

x = 25

Answer: x = 1 and x = 13.

Step-by-step explanation: To solve the equation (x - 7)^2 = 36, we can first rewrite the equation as x^2 - 14x + 49 = 36.

Next, we can rewrite the equation as x^2 - 14x + 13 = 0.

To solve for x, we can then use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a = 1, b = -14, and c = 13.

Substituting these values into the formula, we get:

x = (14 +/- sqrt(14^2 - 4(1)(13))) / 2

x = (14 +/- sqrt(196 - 52)) / 2

x = (14 +/- sqrt(144)) / 2

x = (14 +/- 12) / 2

The values of x are therefore 1 and 13.

Therefore, the correct answer is x = 1 and x = 13.

Answer:

3

Step-by-step explanation:

this problem we need to subtract

There is 6 1/2 grape juice and 3 1/3 orange juice

6 1/2 3 1/3

We get common denominators and one is 6

6 3/6 3 2/6

And now we subtract

3 1/6

And rounded down is 3

Hopes this helps please mark brainliest

Answer: 1,235 is your final answer!

Step-by-step explanation:

First we do what's inside the Parentheses always remember PEMDAS

P-Parentheses

E-Exponent

M-Multiplication

A-Addition

S-Subtraction

So first we do what's inside the brackets!

22-(8-2)+ (1230-11)

22-6+1219

16+1219

1235.

Follow the PEMDAS steps to simplify the answer!

The area of the figure that is made up of a semicircle and a triangle is 63.25  square feet .

In the question ,

it is given that ,

a figure is made up of a semicircle and a triangle ,

the diameter of the given semicircle is = 10 ft ,

So , the radius of the given semicircle is = 10/2 = 5 ft .

hence the area of the semicircle will be = (πr²/2)

= 3.14×(5)²/2

= 39.25 square feet

the base of the triangle is given to be = 8 ft ,

the height of the triangle is given to be = 6 ft ,

So , the area of the triangle is = (1/2)×b×h = (1/2)×8×6 .

= 4 × 6

= 24 square feet .

So , the area of the figure = area of semicircle +  area of triangle

= 39.25 + 24

= 63.25 .

Therefore , the area of the figure is = 63.25 square feet .

The given question is incomplete , the complete question is

A figure is made up of a semicircle and triangle. The diameter of the semicircle is 10ft, the base of the triangle is 8 ft and the height is 6 ft. What is the area of the figure ?

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For this problem there are $44.55 Shen paid.

What is sale price?

The cost following a discount applied to the original cost. This item is being sold for $8.00. We must first calculate the discount amount if the discount is a percentage: • Original price x discount rate equals the discount amount.

Given:

An item is regularly priced at $81.

Shen bought it on sale for 45% off the regular price.

The formula for calculating the sales price of an item is:

s = p - (p x d)

Where:

s is the sales price: what we are calculating in this problem.

p is the regular price of the item: $81 for this problem.

d is the discount rate: 45% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 45% can be written as  45/100.

Substituting and calculating  s gives:

[tex]s = 81 - (81 *\frac{45}{100}) \\s = 81 - (36.45)\\s = 44.55[/tex]

s = $44.55

Hence, for this problem there are $44.55 Shen paid.

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Answer:

- 51

Step-by-step explanation:

substitute x = - 2 into the expression

2x³ - 4x² + 8x - 3

= 2(- 2)³ - 4(- 2)² + 8(- 2) - 3

= 2(- 8) - 4(4) - 16 - 3

= - 16 - 16 - 19

= - 32 - 19

= - 51

Answer:

The total surface area is 3860 ft^2

The total volume is 22,500 ft^3

Step-by-step explanation:

See attached worksheet.

The house needs to be broken up into separate rectangles and triangles, as shown on the worksheet.  Individual calculations of the area and volume are then added for a total number for both volume and surface area.

Mrs. Jones will make 55 wax warmers when she produces 77 candles.

The given table shows the ratio of the number of candles to the number of wax warmers she makes.

Let's assume that "x" wax warmers will she make when she makes 77 candles

According to the given question, we can write the ratio would be as:

7 Candles : 5 Wax Warmers = 77 Candles : x Wax Warmers

⇒ 7/5 = 77/x

⇒ 7x = (77)(5)

Divided by 7 on both sides of the above equation,

⇒ x = (77)(5)/7

⇒ x = 11 × 5

Apply the multiplication operation, we get

⇒ x = 55

Thus, when she makes 77 candles, she will also produce 55 wax warmers.

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Answer:

Step-by-step explanation:

20 5 dollar

20 10 dollar

32 hundred dollar

Answer:

x<3

Step-by-step explanation:

;)

Whenever a probability sample is drawn from a population, it is not enough to simply report the sample's descriptive statistics, for these measures contain a certain degree of error due to the sampling process.

Thus the answer is ‘ true’.

A population is any entire group that has at least one trait in common that is relevant to a given issue or experiment in statistics.

A probability sample is one that is drawn using a method of random selection that is compatible with the known odds for each member of the population to be selected, and that takes these probabilities into account when generating estimates from the sample.

If the chosen sample does not accurately reflect the total population of data, there has been a sampling error, which is a statistical error resulting from sampling.

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The line has a 17/5 slope and y has a value of 51 which will be (15, 51).

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The general equation for every straight line is y = MX + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y -axis).

So, the water level rises by 17 cm in 5 minutes.

Then in 15  minutes, the water will rise by:

15 * 17/5

3*17

51

Then (x, y) will be (15, 51).

Obtaining the slope as follows:

Formula: m = y1 - y2/x1 - x2

m = y2 - y1/x2 - x1

m = 17  - y/5 - x

m = 17/5

Therefore, the line has a 17/5 slope and y has a value of 51 which will be (15, 51).

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The registration fee is $60.

Given,

Sale Price = $5400

The value of the registration:

Registration fee = 0.9% of $5,400

                          = (0.9/100) * 5,400

                          = 60

Therefore, the registration fee is $60.

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The estimate expected mean time for the given activity E from the give table data is equal to 101days.

As given in the question,

Let optimistic time be represented by [tex]T_{o}[/tex]

Most like time be represented by [tex]T_{m}[/tex]

And Pessimistic time be represented by [tex]T_{p}[/tex]

Optimistic time for activity E is equal to  [tex]T_{o}[/tex] = 91

Most likely time for activity E is [tex]T_{m}[/tex] = 100

Ans Pessimistic time for activity E is [tex]T_{p}[/tex] = 115

Estimated expected mean time

= [tex]( T_{o} + 4T_{m} + T_{p} ) / 6[/tex]

= [ 91 + 4(100) + 115 ] / 6

= 606/6

= 101

Therefore, option d. 101days represents the estimated expected mean time for the given activity E.

The complete question is:

From the given table:

                                                         { Time estimates (days)}

Activity   Predecessor             Optimistic       Most likely       Pessimistic

A              A, B, C                         30                   50                          62

B                  D                              90                    99                        108

C                  E                              85                   105                         115

D                  End                         19                      25                         31

E                    F                             91                     100                        115

F                   End                          62                    65                          68

What is the estimated expected (mean) time for activity E?

Multiple choice

a. 91 days        b. 100 days          c.  99 days       d. 101 days        e.115 days

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Answer: He will work for 19 days.

Step-by-step explanation:

If Nicholas has 234 dollars and the computer he wants to put is 899 dollars, you have to subtract to see how much he has to take the loan from his parents in order to buy the computer.

899 - 234 = 665

He took a loan of 665 dollars from his parents

To figure out how many days he needs to work to pay that amount, you divide the amount he earns each day with the amount of loan he took.

So 665 divided by 35 = 19

He has to work 19 days to pay off the 665 dollar loan he took from his parents.

We can check this answer by multiplying 35 x 19 , which equals to 665.

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

(c)

ratio of

boys : total students

= 182 : 260 ( divide both parts by 26 )

= 7 : 10

number of girls = 260 - 182 = 78

ratio of

girls : total students

= 78 : 260 ( divide both parts by 26 )

= 3 : 10

If someone tells me "keep dreaming :)", I would likely respond by thanking them for their encouragement and expressing my determination to continue pursuing my dreams. I might also share some of my aspirations and plans for achieving them, and encourage the other person to do the same. Depending on the context and tone of the conversation, I might also make a joke or offer a playful response, such as "I will, and I'll make sure to dream big!"