A car travels 20 km west of Dasma, and was seen travelling 10km to east after. Calculate the

displacement of the car.​

The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

learn more on secant here: https://brainly.com/question/15601706

#SPJ1

Answer:

D -4

Step-by-step explanation:

rise over run rise=-12 run= 3 - 12/3 simplified is -4

Answer:

4

Step by step

you move 12 spots to get to 8 from -4 and 3 to get from -1 to 2 then you do 12/3

Answer:

2 weeks

Step-by-step explanation:

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

Answer: We can start by separating the variables and then integrating both sides with respect to their respective variables.

dy / root(y) = sin(root(x)) dx

Integrating both sides, we have:

2 * (y)^(1/2) = -2 * cos(root(x)) + C, where C is the constant of integration.

Solving for y, we have:

y = [cos^2(root(x)) + (C/2)]^2

So the explicit solution to the differential equation dy/dx = sin(root(x))/root(y) is y = [cos^2(root(x)) + (C/2)]^2, where C is a constant.

Step-by-step explanation:

Transform the given differential equation into Bernoulli's equation format through a suitable substitution, then separate variables and integrate each side. Subback the original substitution in the end to solve for y.

Firstly, the problem given is a type of Bernoulli's differential equation. We can manipulate it into a form we can use a method on. The original equation is dy/dx = sin(root(x))/root(y). To convert this into a Bernoulli equation format, we make a substitution. Let's use v = root(y). This gives us 2v dv/dx = sin(root(x)). Now we have a separable equation. Separate variables and integrate: ∫2v dv = ∫sin(root(x)) dx. After each side is integrated, we can input our original substitution back into the equation to solve for y.

https://brainly.com/question/32150751

#SPJ2

Answer:

(10, -18)

Step-by-step explanation:

midpoint formula: (sum of both x-values/2, sum of both y-values/2)

(0 + x)/2 = 5

x = 10

(4 + y)/2 = -7

y = -18

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.

Answer:

g(6) = 106 and f(4) = - 17

Step-by-step explanation:

g(x) = - 3x² - 2 and f(x) = - 4x - 1; f(4) and g(6)

Now,

g(x) = 3x² - 2

g(6) = 3(6)² - 2

= 3 × 36 - 2

= 108 - 2

g(6) = 106

Similarly,

f(x) = - 4x - 1

f(4) = - 4(4) - 1

= - 16 - 1

f(4) = - 17

Thus, g(6) = 106 and f(4) = - 17

-TheUnknownScientist

Answer:

1/10

Step-by-step explanation:

any number (1-9) as the number above the fraction line (numerator) with the number 10 below the fraction line is a fraction with a denominator of 10.

if it was 10/10, it will = 1

Answer:

7.0%

Step-by-step explanation:

The probability that the Wildcats will win 2 of the games is 0.2%

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Given that, two teams, the Wildcats and the Leopards are evenly matched football teams. When they play, there is a 0.5 probability that the Wildcats will win.

So, the probability that the Wildcats will win 2 of the games =

1/2⁶ x 1/6

= 1/64 x 1/6

= 1/384

= 0.2%

hence, the probability that the Wildcats will win 2 of the games is 0.2%

Learn more about probability, click;

https://brainly.com/question/30034780

#SPJ7

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To learn more about probability please click on below link.

https://brainly.com/question/30034780

#SPJ1

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

342.5

Step-by-step explanation:

Take 55 and multiply it by 3.5

Then multiply 60 by 2.5

Then add those two numbers that you come up with and add them together.

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

learn more about factorization: https://brainly.com/question/10718512

#SPJ1

Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer:

A(4.5 , 7) B(6.5 , 7) C(6.5 , 4) D(2 , 4)

Step-by-step explanation:

Hope this helps!

3250 mL = 3.25 L

* 1 mL = 0.001 L

I hope I helped you^_^

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

The answer of the given question based on the constant of proportionality the answer is  constant of proportionality equal to 1.

Slope is  measure of  steepness of a line. It describes how much  vertical coordinate (y) changes for given change in  horizontal coordinate (x). In other words, it is  rate at which  line rises or falls as you move horizontally along it

To find the constant of proportionality between y and x, we need to calculate the slope of this line.

We can choose any two points on the line and use them to calculate the slope. Let's choose the points (2, 2) and (8, 8), which are the first and last points on the line. The slope of the line passing through these points is:

slope = (change in y)/(change in x) = (8 - 2)/(8 - 2) = 1

This means that for every increase of 1 in the x-coordinate, there is a corresponding increase of 1 in the y-coordinate. Therefore, the constant of proportionality between y and x is 1. We can write this as:

y = x

This means that y is directly proportional to x with a constant of proportionality equal to 1.

To know more about Y-coordinate visit:

https://brainly.com/question/27778576

#SPJ9

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

12x = 0

Step-by-step explanation:

5= 5+2x

Subtract 5 from each side

5-5= 5-5+2x

0 = 2x

Multiply each side by 6

0*6 = 2x*6

0 = 12x

Answer:

12x = 0

Step-by-step explanation:

Let's first find x:

5 = 5 + 2x

Subtract 5 from both sides. Since both sides are equal, subtracting the same from each side will still leave both sides equal.

5 = 5 + 2x

5 - 5 = 5 + 2x - 5

Since 5-5 = 0:

0 = 5 + 2x - 5

0 = 5 - 5 + 2x

Again, 5-5 = 0:

0 = 0 + 2x

0 = 2x

Dividing both sides by 2:

0/2 = 2x / 2

0 = x

x = 0

As we can see, x = 0.

Thus, 12x must also be 0:

12x

Putting in x = 0:

12 * 0 = 0

Answer: 12x = 0

Answer:

Your answer will be 1.85 I hope this helps

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

For such more question on median

https://brainly.com/question/26177250

#SPJ8

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

This is how the equation can be solved-

To know more about graph here

https://brainly.com/question/19040584

#SPJ1

Answer: 14π

Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.