PLEASE ANSWER FAST!!
Write a linear equation in slope intercept form for each problem.
1. Line passes through the point (6,-2) and has a slope of: -2/3

2.Line passes through the point (-2,9) and has a slope of: -5/2

3.Line passes through the point (3,5) and has a slope of: 2

4.Line passes through the point (4,1) and has a slope of: 0

5.Line passes through the point (-5,-8) and has a slope of: 4/5

6.Line passes through the point
(12.10) and has a slope of: 7/6

Thank you!

Answer:

First, let's find where the lines:

x + 2y = 0

2x - y - 12 = 0

intersect.

First, let's isolate the variable y in one side of the equalities.

y = (-x/2)

y = 2x - 12

Now we have:

-(x/2) = 2x - 12

We can solve this for x.

12 = 2*x + x/2 = 2.5*x

12/2.5 = x = 4.8

Then, replacing that value in any of the lines, we can find the value of y.

y = 2*8 - 12 = 2*4.8 - 12 = -2.4

Then those lines intersect in the point (4.8, -2.4)

Now we want to find the line that passes through the points (-2, 3) and (4.8, -2.4)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then, the slope for our line is:

a = (3 - (-2.4))/(-2 - 4.8) = -0.79

And the

y-intercept will be:

y = -0.79*x + b

when x  = -2, y = 3.

3 = -2*-0.79 + b

3 - 2*0.79 = b = 1.42

The line is:

y = -0.79*x + 1.42

2 hours costs 6 dollars is the only statements that is true

--

simply add 3.00 to 3.00 because its 2 hours

or if it was half an hour simply add 1.50 because half of 3.00 is 1.50

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

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Answer:

Step-by-step explanation:

-4x-3=y

Step-by-step explanation:

To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.

a. Finding the value of A:

We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:

70 = 20 + Ae^(0) (since e^0 = 1)

70 - 20 = A

A = 50

So the value of A is 50.

b. Finding the value of k:

We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.

Substituting T = 70 and t = 4 into the equation, we have:

70 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

50 = 50e^(-4k)

Dividing both sides by 50:

1 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(1) = ln(e^(-4k))

0 = -4k

Dividing both sides by -4:

0 = k

However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4(0))

50 = 20 + 50e^0

50 = 20 + 50(1)

50 = 20 + 50

50 = 70

Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.

Let's try another approach:

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

30 = 50e^(-4k)

Dividing both sides by 50:

0.6 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(0.6) = ln(e^(-4k))

ln(0.6) = -4k ln(e)

ln(0.6) = -4k(1)

ln(0.6) = -4k

Simplifying further:

k = ln(0.6) / -4

Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:

k = ln(5/3) / 4

To recap:

a. The value of A is 50.

b. The value of k is approximately k = ln(5/3) / 4

.

Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.

The probability that the other side of the card is not green is 60%

From the question, we have the following parameters that can be used in our computation:

P(green) = 40%

Using the complement rule of probabilities, we have

P(not green) = 1 - P(green)

Substitute the known values in the above equation, so, we have the following representation

P(not green) = 1 - 40%

Evaluate

P(not green) = 60%

Hence, the probability is 60%

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Complete question

The probability of a green face is 40%. If you're shown a card with a green face showing what is the probability that the other side of the card is not green

Answer:

54.45in^2

Step-by-step explanation:

^2 is squared

The surface area of the backyard can be estimated using the measurements of y, taken every 3 feet for a 36 feet long yard, and using a mathematical formula such as the trapezoidal rule or numerical integration method.

The surface area of the backyard can be estimated by using a mathematical formula such as the trapezoidal rule or numerical integration method. To use the trapezoidal rule, the man would need to calculate the average height between each of the y measurements and use this average height as the height of a trapezoid with a base equal to the 3-foot increment.

The man would then sum up the areas of all the trapezoids to estimate the total surface area of the backyard. Numerical integration is a more complex method that uses more advanced mathematical concepts, such as calculus, to estimate the surface area. Both methods can provide an estimate of the surface area, but the accuracy of the estimate will depend on the accuracy of the y measurements.

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Using function concepts, it is found that the x-intercept of the exponential function is given at x = 3.

They are the values of x for which y = 0. In a graph, they are the value of x at which the function crosses the x-axis.

In the graph given for the exponential function in this problem, it crosses the x-axis at x = 3, hence, the x-intercept of the exponential function is given at x = 3.

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Answer:

21. Since you didn't say what the value of j was. If j equal -3 then

21. −3 + (−6)

Subtract 6 from −3 to get −9.

−9

OR IF IT EQUALS 3

21. 3 + −6

Subtract 6 from 3 to get −3.

−3

22. 8 − −10 + 2

The opposite of −10 is 10.

8+10+2

Add 8 and 10 to get 18.

18+2

Add 18 and 2 to get 20.

20

23. 3 x −15 + 5

Multiply 3 and −15 to get −45.

−45+5

Add −45 and 5 to get −40.

−40

Step-by-step explanation:

The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

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Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer: 4410 \(ft^2\)

Step-by-step explanation:

To find the area of a square or rectangle, all you need to do is multiply the length times the width:

L × W = A

The lengh is 100, and the width is 50

100 × 50 = 5000

However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.

First, let's get the two circles over with. To find the area of a circle, use this formula:

A = π\(r^2\)      r is the radius, which in this case, is 6

A = π\(6^2\)

A = 113       This isn't the exact answer, the exact answer would be 113.0973...

Now let's multiply the area of one of those circles by 2, since we have 2 circles:

113 × 2 = 226

Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:

26 × 14 = 364

The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:

5000 - (226 + 364) = 4410 \(ft^2\)

As a result, going from 3 to 4 and multiplying by 7 gives us the following numbers: 3, 10, 17, 24, 31, 38, 45, and 52.

By allocating sequential numbers to the things in a collection or group, counting is the act of calculating the number of those items. One of the first mathematical concepts that kids learn is counting. It is a fundamental concept that is applied in many other fields of mathematics as well as in everyday life. Counting can indeed be done in various ways depending on the circumstance and context. One can count forward or reverse, by ones, two at a time, fives, or tens, and they can use their fingers, tally symbols, or number words to do so. The quantity of two or more sets can be compared, their difference can be calculated, and their equality can be ascertained using counting.

given

We can start at 3 and continue adding 7 to the previous number until we reach 4 to count forward from 3 to 4 by 7:

3, 10, 17, 24, 31, 38, 45, 52 (and so on) (and so on)

As a result, going from 3 to 4 and multiplying by 7 gives us the following numbers: 3, 10, 17, 24, 31, 38, 45, and 52.

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417

Step-by-step explanation:

I hope this helps :)

Answer:

62% = 31 / 50

Step-by-step explanation:

62/100

if you need to simplify then it would be 31/50

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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4? I think it is cuz i got the same question.

the selling price of each card is = 28 $

let she sold x number of cards,

so, the equation is,

28x = 224

x = 224/28

x = 8

thus, the answer is number of cards sold by nandita is 8

so, the equation is

28x = 224

The statement that is not true is (a) A = 74 degrees

From the question, we have the following parameters that can be used in our computation:

The dilation of ABC by a scale factor of 2

This means that

Scale factor = 2

The general rule of dilation is that

using the above as a guide, we have the following:

AC = 2 * 5 = 10

C = 53 degrees

BC = 2 * 3 = 6

A = 37 degrees

Hence, the statement that is not true is (a) A = 74 degrees

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Answer:

The width of pen A is 7 feet,

The Length of Pen A is  11 feet,

The width of Pen B is 6 feet,

The Length of Pen B is 12 feet

Step-by-step explanation:

The width of pen A is 7 feet,

The Length of Pen A is 7 + 4 = 11 feet,

The width of Pen B is 7+4-5 = 6 feet,

The Length of Pen B is 2*(7+4-5) = 12 feet

\(w+w+w+w+4+4=(w+4-5)+(w+4-5) +2*(w+4-5)+2*(w+4-5)\\4w+8=6w-6\\14=2w\\w=7\\\)

Answer:

6,15,265=lakh

6,15,265=tens

hope it helps.

After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.

The formula for the volume of a sphere of radius "r" is:

V = (4/3)πr³

Substituting the specified radius value (r = 11 cm), we get:

V = (4/3)π(11)³ \sV = 5575.279 cm³

Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:

Density = Volume Weight

Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3

When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:

The weight is 25.121811974 kg.

As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

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Answer:

AAS

Step-by-step explanation:

It will be angle angle side because you are given a side and two angles, and when you put them in the correct order, you will get AAS, or SAA (not the correct way to say it)

If a, b, c, and d are four different numbers and the proportion. The given statement is true.

We take one example,

When you split them, they will all equal the same thing.

A = 5 ,B = 20 20 divided by 5 equals 4

C = 28 ,D = 7 28 divided by 7 equals 4

The ratio is used to compare two amounts of the same type. For two numbers, a and b, the ratio formula is written as a: b or a/b. The ratio and proportion concepts are based on fractions. Ratio and proportion are the fundamental building blocks for many other notions in mathematics. Ratio and proportion are useful in addressing many everyday difficulties, such as comparing heights, weights, distance, or time, or when combining ingredients in cookery, and so on.

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The area of the polygon is 470596 units²

The region occupied by it in a two-dimensional plane. The areas or formulas for areas of different types of polygon depends on their shapes.

Given that: side are 7 cm,14 cm,14 cm,7 cm,7 cm,7 cm

Area of Polygon= 7*14*14*7*7*7

                             = 343*195*7

                             = 470596 units²

The area of polygon is  470596 units²

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Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.