approximately 12,000 years ago, people began to domesticate grain in what we now call the middle east. this involved a process that slowly spread around the world over the next 6,000 to 7,000 years. in 1984, 8 percent of u.s. households had a computer, but that number was above 70 percent in 2008. how do these two things relate to social change?

The perimeter of the equilateral triangle will be 4 + 4 + 4 = 12 units.  

Let the equation of the given line be y = mx + c.

Since the line passes through the origin, c = 0.

Hence, the equation of the line becomes y = mx.

The line is also given to be at a distance of 4 units from the origin, which means that the point (1, m) is at a distance of 4 units from the origin.

Therefore, according to the distance formula, the equation can be written as:

√(1² + m²) = 4

Squaring both sides,

we get:

1 + m² = 16⇒ m² = 15

⇒ m = ±√15

Putting the value of m in y = mx,

we get the two lines as y = √15x and y = -√15x.

The point of intersection of these lines is the point (0, 0).

Let this point be C. Since the triangle is equilateral, all sides are equal in length. Hence, the side opposite to the point C will have a length of 4 units (distance from the origin to the line y = mx).  

To know more about perimeter visit:-

https://brainly.com/question/7486523

#SPJ11

Slope of the function is -2/5 and intercept is -1/3 .

Given values of x and y of a function .

Now,

Firstly,

Slope  = y2 -y1 /x2 - x1

slope =  -2/15 - (-1/30) / -1/2 -(-2/4)

slope = -2/5

Secondly,

Calculate intercept,

y = mx + c

c = y- intercept

-3/5 = -2/5 *2/3 + c

c = -1/3

Hence slope and intercept can be found out with the standard equation y = mx + c .

Know more about slope,

https://brainly.com/question/11944002

#SPJ1

Answer:

Its 25.2

Step-by-step explanation:

14.4 + 10.8

If friend house is 10.8 miles north and 14.4 miles east of the bank then distance of person's house from bank is 18 miles.

Pythagoras theorem says that in a right angled triangle the square of hypotenuse is equal to the sum of squares of base and perpendicular of that triangle.

\(H^{2} =B^{2} +P^{2}\) in which P is perpendicular, B is base, H is hypotenuse of triangle.

When we express person's house,his friend's house and bank on the surface then it will look like a right angled triangle.

H=\(\sqrt{B^{2} +P^{2}}\)

=\(\sqrt{10.8^{2} +14.4^{2} }\)

=\(\sqrt{324}\)

=18 miles

Hence the distance of person's house from bank is 18 miles.

Learn more about pythagoras theorem at https://brainly.com/question/343682

#SPJ2

Question is wrong as the right question is that calculate the distance between person's house and bank.

Given the points ( 8 , 5 ) and ( 4 , 4 )

The general slop-intercept form of the equation of the line is:

y = mx + c

where m is the slope and c is y-intercept

The slope will be calculated as following:

So, the equation of the line will be:

Using the one of the given points to find the value of c

Let , we will use the point ( 4 , 4 )

so, when x = 4 , y = 4

So, the slope - intercept equation of the line is:

Answer:

Answer:The total change in the number of bushels she has for sale after 5 days is 83.125 bushelsStep-by-step explanation:The given parameters are;The initial number pf bushels the farmer has = 120 bushelsThe amount of bushels of wheat the farmer sells each day = 16⁵/₈ = 16.625 The number of bushels sold after 5 days = 16.625 × 5 = 83.125 bushelsThe total change in the number of bushels she has for sale after 5 days = The number of bushels sold after 5 daysThe total change in the number of bushels she has for sale after 5 days = 83.125 bushels.

Step-by-step explanation:

Answer:

3.1 or 3.15

Step-by-step explanation:

yeahhh!

Answer: Mr. Weeks spent $4.81 per bag.

Step-by-step explanation: I knew the answer, because 48.10 divided by 10 is 4.81. You could've used an calculator to help.

Answer:

\sqrt{81 + x^2} = y

\sqrt{y^2 - 7^2} = x

Step-by-step explanation:

They would be Pythagorean Triples.

a^2 + b^2 = c^2

9^2 + x^2 = y^2

\sqrt{81 + x^2} = y

7^2 + x^2 = y^2

x^2 = y^2 - 7^2

\sqrt{y^2 - 7^2} = x

Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

What is extrapolation?

A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.

Predicting hypothetical values outside of a specific data set is the goal of extrapolation.

Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.

Hence, extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

To know more about extrapolation, click on the link

https://brainly.com/question/18768845

#SPJ4

Answer:

14

Step-by-step explanation:

Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

The solution of this system of equations, corresponding to the values of the exponents of the power equations, is (m, n) = (3, 4).

Herein we have an equivalence between two power equations, in which we must look for possible values for the exponents m and y in accordance with algebraic procedures:

\((5\cdot d^{n} \cdot g^{7})^{m} = 125 \cdot d^{12} \cdot g^{21}\)         Given

\(5^{m}\cdot d^{m\cdot n}\cdot g^{7\cdot m} = 125 \cdot d^{12}\cdot g^{21}\)     Power properties

Then, by direct comparison, we have following equations:

\(5^{m} = 125\)              (1)

m · n = 12             (2)

7 · m = 21             (3)

Then, the solution of this system of equations is (m, n) = (3, 4).

To learn more on power equations: https://brainly.com/question/22173286

#SPJ1

Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

Learn more about Margin Of Error here :

brainly.com/question/29982243

#SPJ4

Answer:

-563

Step-by-step explanation:

a = -7 , b = 9 , c = 4

9ab +C

9 × -7 × 9 + 4

81 × -7 + 4

-567 + 4

-563

Answer:

Step-by-step explanation:

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

Answer:

The perimeter is 36.5 inches.

The area is 59.5 square inches.

The surface area is about  153.94 square inches.

Step-by-step explanation:

From the figure it is clear that,

Radius of cake = 7 in

Diameter of cake = 14 in

Height = 4.25 in

We need cut the cake vertically along its diameter to make 2 congruent parts.

So, cross section is a rectangle of length 4.25 in and width 14 in.

Perimeter of rectangle is

\(Perimeter=2(length+width)\)

\(Perimeter=2(4.25+14)\)

\(Perimeter=2(18.25)\)

\(Perimeter=36.5\)

The perimeter is 36.5 inches.

Area of rectangle is

\(Area=lengt\times width\)

\(Area=4.25\times 14\)

\(Area=59.5\)

The area is 59.5 square inches.

We need to find the surface area of the cake that is not frosted before the cut. It means the area of base.

Area of circle = \(\pi r^2\)

where, r is radius.

Area of circular base = \(\pi (7)^2\)

\(=49\pi \)

\(=153.93804\)

\(\approx 153.94\)

Therefore, the surface area is about  153.94 square inches.

The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

Learn more about Inequalities on:

https://brainly.com/question/24372553

#SPJ1

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

Step-by-step explanation:

The answer is 15.

1/5 is 10

1/2 is 25

25+10=35

50-35 is 15, your answer. Hope this helped :)

Answer:

The answer should be C. 250 in^3

Answer:

C. 250 in^3

Step-by-step explanation:

Answer: 6/7

Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7

Answer:6/7

Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.

Answer:

• (0,12)

• (1,6)

• (9,8)  

• (-2,19)

• (8,3)    

Step-by-step explanation:

See the attached graph.

The two inequalities are graphed and the points that are solutions to both equations are all those in the purple area of the graph (the result of the red and blue solutions that overlap [= purple]).  The individual points are added to find which points do, or do not, fall within the solution set of both inequalities:

• (0,12)   Yes

• (-2,0)    No

• (-6,13)    No

• (1,6)      Yes

• (9,8)     Yes

• (-2,19)   Yes

• (8,3)      Yes

• (0,10)     No

The True statement about hypothesis testing is: d) The critical value depends on the significance level.

In hypothesis testing, the critical value is the threshold value used to determine whether to reject or fail to reject the null hypothesis. It is chosen based on the desired significance level, which represents the maximum acceptable probability of committing a type I error (rejecting the null hypothesis when it is true). The critical value is compared to the test statistic to make the decision.

The significance level, denoted by α, is determined by the researcher before conducting the hypothesis test and represents the acceptable level of risk for making a type I error. It is typically set to a small value, such as 0.05 or 0.01.

The test statistic, on the other hand, is calculated based on the observed data and the specific hypothesis being tested. It is used to assess the evidence against the null hypothesis and determine whether it is sufficiently significant to reject it.

Therefore, the correct statement is that the critical value depends on the significance level, as it is chosen to control the probability of making a type I error.

Therefore the correct option is d)

To learn more about hypothesis refer here:

https://brainly.com/question/29576929#

#SPJ11

Answer: (-3.5,12)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(-9, -1)

(4, 25)

Slope = (y2 - y2)/(x2 - x1)

25 - (-1)/ 4 - (-9)

26/13 = 2

So:

Slope = 2

Hope this helps!

Answer:

10 cm

Step-by-step explanation:

im smart

Fruit Flies are among the simplest animals with short lifespans and are convenient for research. Researchers tracked a population of 1,203,646 fruit flies, counting how many died each day for 171 days.

Here are three-time plots offering different views of these data. One shows the number of flies alive on each day, one the number who died that day, and the third the mortality rate—the fraction of the number alive who died. On the last day studied, the last 2 flies died, for a mortality rate of 1.0.The mortality rate is the fraction of the number of living things that died. It's one of the most important indicators of the severity of a problem.

The mortality rate of fruit flies was calculated using this data set. The death rate is determined by dividing the number of fruit flies that died on a given day by the total number of fruit flies that were alive on the previous day.

To know more about mortality visit:

https://brainly.com/question/29376879

#SPJ11