Below are parallel lines with a third line intersecting them


What is the value of x

Answer:

7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001  > 73.293

Step-by-step explanation:

Given: Numbers are 7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001 and 73.293

To compare: the two given numbers

Solution:

7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001  is equal to [tex]73.385[/tex]

Compare the numbers [tex]73.385[/tex] and 73.293

Digits at the ones pace and tens place in both the numbers are same.

Observe the digit at the tenth place in both the numbers.

Digit at the tenth place in 73.385 is 3

Digit at the tenth place in 73.293 is 2

As [tex]3>2[/tex],

73.385 > 73.293

So,

7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001  > 73.293

Answer:  7 x 10 + 3 x 1 + 3 x 0.1 + 8 x 0.01 + 5 x 0.001 > 73.293

Step-by-step explanation: ik this bc i have this same quiz so gl on the rest of the questions

According to the diagram provided, Kyle is creating a frame for a model car by placing two rods together. To justify why AB equals 10, we can use the Segment Addition Postulate.

The Segment Addition Postulate states that if three points A, B, and C are collinear (meaning they lie on the same line), then point B is between points A and C if and only if the sum of the lengths of segments AB and BC is equal to the length of segment AC. In this case, the diagram shows points A, B, and C on a line, where A is the left endpoint, B is the midpoint, and C is the right endpoint. Since point B is the midpoint of segment AC, it divides the segment into two equal parts. Therefore, the length of segment AB is equal to the length of segment BC, and since the lengths are equal, we can conclude that AB is equal to 10 units. Hence, the justification for AB being 10 is based on the Segment Addition Postulate, as it guarantees that point B is the midpoint of segment AC.

Learn more about Segment Addition Postulate here:

https://brainly.com/question/14957499

#SPJ11

Complete question:

Kyle is creating a frame for a model car. He begins by plecing two rods together, as shown in the diagram. Justify why AB- 10. O Segment Addition Postulate O Addition Property O Definition of Collinear Points O Definition of Midpoint

Answer:

domain can be from 0 to 20

Step-by-step explanation:

if she doesn't swim, it will be 0 but she can swim up to 20 minutes which will be our x value and our max domain value

Answer:

he doesn't weight as much because he doesn't have gravity helping keep him to the ground

Let's look at an example:

2.24 x 21.6

[tex]2.24\\ 21.6\\ ______[/tex]

Do normal multiplication and get

48384   This is not correct, until we put the decimals in. To know how to do this, count the number of decimal spaces from the factors. In 2.24, there are 2, because .24. In 21.6 there are 1 because of .6. This mean three places, so 48384 becomes

48.384

~theLocoCoco

Answer:

x = 26

Step-by-step explanation:

The sum of the angles around point O = 360°, thus

x + 3x + 256 = 360 , that is

4x + 256 = 360 ( subtract 256 from both sides )

4x = 104 ( divide both sides by 4 )

x = 26

Answer:

a^4+2ab^2+b^4+a^16+2ab^8+b^16

Step-by-step explanation:

(a^2+b^2)^2+(a^8+b^8)^2

(a^2+b^2)^2=(a^2+b^2)(a^2+b^2)

=a^2(a^2+b^2)+b^2(a^2+b^2)

=a^4+(ab)^2+(ba)^2+b^4

=a^4+2ab^2+b^4

(a^8+b^8)^2=(a^8+b^8)(a^8+b^8)

=a^8(a^8+b^8)+b^8(a^8+b^8)

=a^16+(ab)^8+(ba)^8+b^16

=a^16+2ab^8+b^16

(a^2+b^2)^2+(a^8+b^8)^2=(a^4+2ab^2+b^4)+(a^16+2ab^8+b^16)

the answer is a^4+2ab^2+b^4+a^16+2ab^8+b^16

i think it is simplified answer

Answer:

hi

Step-by-step explanation:

hello

Answer:

average speed   = distance / time

60 =  distance /   (13.20 - 10.40)

13.20 - 10.40  =  2 hours 40 minutes  =  2 2/3  hours

60 = distance / 8/3  = 3 d / 8     (where d = distance)

3d = 480

d = 480/3  = 160 miles

The distance between the station in Boston and the one in Stamford is 160 miles.

Distance is calculated by the formula:

= Speed x Time

The Speed is 60 mph as given.

The time is:

= 1:00 pm  - 10:20AM

= 2 hrs 40 minutes

In decimals this is:

= 2 + 40/60 minutes

= 2 + 2/3

= 2.67 hours

The distance is therefore:

= Speed x Time

= 60 x 2.67

= 160 miles

In conclusion, the distance between the stations is 160 miles.

Find out more at https://brainly.com/question/21956350.

(a) Based on the given data, there appear to be short-term fluctuations in the sales of the ice-skating rink. The sales figures vary from quarter to quarter, with some quarters showing higher sales and others showing lower sales. This suggests the presence of short-term or seasonal trends in the data. For example, there is a notable increase in sales in quarters 1, 5, and 6, followed by a decrease in quarters 3, 4, and 8. This pattern indicates a possible seasonal or cyclical trend in the sales of the ice-skating rink.

(b) To calculate the 3-period moving averages, we take the average of the sales data over a window of three consecutive quarters and compute the average for each subsequent quarter. The moving averages smooth out the fluctuations in the data and provide a clearer picture of the underlying trend.

Quarter 1: (7555 + 6695 + 5415) / 3 = 6555

Quarter 2: (6695 + 5415 + 4150) / 3 = 5420

Quarter 3: (5415 + 4150 + 7310) / 3 = 5625

Quarter 4: (4150 + 7310 + 7015) / 3 = 6158.33

Quarter 5: (7310 + 7015 + 5435) / 3 = 6586.67

Quarter 6: (7015 + 5435 + 3885) / 3 = 5445

Quarter 7: (5435 + 3885 + 0) / 3 = 3106.67

Quarter 8: (3885 + 0 + 0) / 3 = 1295

(c) The moving averages can be plotted on a graph with the x-axis representing the quarters and the y-axis representing the sales figures. Each moving average value is plotted in the corresponding quarter.

(d) Based on the calculated moving averages, we can make a prediction for the sales taken in the following two quarters. The prediction will be the average of the sales figures for the last three quarters.

Prediction for Quarter 9: (7015 + 5435 + 3885) / 3 = 5445

Prediction for Quarter 10: (5435 + 3885 + 0) / 3 = 3106.67

Therefore, the prediction for the sales taken in the following two quarters is £5,445 for Quarter 9 and £3,107 for Quarter 10.

Learn more about moving averages and sales forecasting here:

https://brainly.com/question/32272842

#SPJ11

Answer:

x = 2/3 or x = -2/3

Step-by-step explanation:

Solve for x over the real numbers:

9 x^2 = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 9:

x^2 = 4/9

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

Answer:x = 2/3 or x = -2/3

The approximate distance from the playground to the road along the other path is 1.3 miles.

The angle of the top vertex is 50 degrees. The length of the hypotenuse is 2 miles and the swing stands on the downside of the triangle.

Using trigonometric ratios, let's find the approximate distance from the playground to the road along the other path as follows:

cos 50 = adjacent / hypotenuse

cos 50° = x / 2

cross multiply

x = 2 cos 50°

x = 2 × 0.64278760968

x = 1.28557521937

x = 1.3 miles

Therefore,

distance from the playground to the road along the other path = 1.3 miles

learn more on right triangle here: brainly.com/question/1452684

#SPJ1

The developer can have a maximum of 40 lots on the 16-acre subdivision.

To calculate the number of lots the developer can have on the 16-acre subdivision, we need to subtract the area occupied by streets and common areas from the total area and then divide it by the minimum lot size.

1 acre is equal to 43,560 square feet, so 16 acres is equal to 16 * 43,560 = 696,960 square feet.

The streets and common areas will take up 30% of this overall area:

30% of 696,960 = 0.3 * 696,960 = 209,088 square feet.

Now we subtract the area occupied by streets and common areas from the total area to find the area available for the lots:

696,960 - 209,088 = 487,872 square feet.

Since the minimum lot size is 12,000 square feet, we divide the available area by the minimum lot size to find the number of lots:

487,872 / 12,000 = 40.656.

Since we cannot have a fraction of a lot, the developer can have a maximum of 40 lots on this property.

As a result, the 16-acre subdivision may only accommodate a maximum of 40 lots from the developer.

for such more question on area

https://brainly.com/question/15822332

#SPJ8

Answer:

The correct option is;

Decrease b.

Step-by-step explanation:

The given information are;

The function in the question is given by the equation, y = a·cos(b·x)

Where;

a > 0 and b > 0

The location of the x-intercept is given by the values of x when y = 0 which are obtained as follows;

When y = 0, y = a·cos(b·x) = 0

Therefore;

cos(b·x) = 0/a = 0

∴ b·x = cos⁻¹(0) = π/2, 3·π/2, (4·n×π + π)/2

Therefore, as b decreases, x increases.

Answer: B

Decrease b.

Step-by-step explanation:

The total Distance between all points is 15. This is the shortest distance between all points, so it is the time needed to travel between them

In order to calculate the time needed, we need to consider the distances between each point.

This can be done using the Pythagorean Theorem, which states that the hypotenuse of a right triangle is equal to the square root of the sum of the squares of the other two sides.

For this problem, we can treat each segment as the hypotenuse of a right triangle, where the other two sides are the distances between each point.Using this method,

we can calculate the distances between each point:b1 to b2: distance = sqrt((b2 - b1)^2) = sqrt((8 - 10)^2) = 2b2 to b3: distance = sqrt((b3 - b2)^2) = sqrt((15 - 8)^2) = 7b3 to a: distance = sqrt((a - b3)^2) = sqrt((15 - 15)^2) = 0b3 to b: distance = sqrt((b - b3)^2) = sqrt((10 - 15)^2) = 5b4 to b: distance = sqrt((b - b4)^2) = sqrt((10 - 9)^2) = 1

Now that we have the distances,

we can add them up to get the total distance:2 + 7 + 0 + 5 + 1 = 15

Therefore, the total distance between all points is 15. This is the shortest distance between all points, so it is the time needed to travel between them.

So, the answer is we should take the shortest way, not the longest way.

For more questions on Distance.

https://brainly.com/question/30395212

#SPJ8

Answer:

portable document format

Answer:

Portable document format

Answer:

Answer is 3^4/5*a^2*b*c^2

Answer:

y - 7 = - 1(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b) = (4, 7) , thus

y - 7 = - (x - 4)

The equation of line in the point-slope form is y = -1x + 11

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the point be P = P ( 4 , 7 )

Let the slope of the line be m = -1

So , the equation of line is given by the formula

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = -1 ( x - 4 )

On simplifying the equation , we get

y - 7 = -1x + 4

Adding 7 on both sides of the equation , we get

y = -1x + 11

y = -x + 11

Therefore , the value of A is y = -x + 11

Hence , the equation of line is y = -x + 11

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

Answer: 0, pi/2

Step-by-step explanation:

I guessed tbh

The interval in which the function y = sin( x ) will strictly increase is ( 0, π/2 ).

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph is attached with the answer below in the graph we can see the maximum and minimum values of the function y = sin ( x ).

In the graph the maximum limit of the function π/2 it means that the strict increment in the graph is in the interval of ( 0, π/2 ).

Therefore, the interval in which the function y = sin( x ) will strictly increase is ( 0, π/2 ).

To know more about functions follow

https://brainly.com/question/10700288

#SPJ2

Answer:

A filter.

Step-by-step explanation:

To find the Lateral Surface Area and Surface Area of a Triangular and Rectangular Prism, follow the below steps:

Lateral Surface Area of a Triangular Prism:

Step 1: Draw a net of the triangular prism

Step 2: Identify the height of the prism, which is perpendicular to the triangular base.

Step 3: Calculate the perimeter of the base by adding all the sides of the triangle.

Step 4: Multiply the perimeter by the height to get the Lateral Surface Area.Lateral Surface Area = Perimeter of the Base × Height Surface Area of a Triangular Prism:

Step 1: Identify the base and height of the triangle.

Step 2: Use the formula to find the area of the triangle: Area of the Triangle = (1/2) × Base × Height.

Step 3: Multiply the result of step 2 by 2 and add it to the Lateral Surface Area.Surface Area = 2(Area of the Triangle) + Lateral Surface Area.

Surface Area of a Rectangular Prism:

Step 1: Identify the length, width, and height of the rectangular prism.

Step 2: Find the areas of each face of the rectangular prism.

Face 1: Length × Width

Face 2: Length × Height

Face 3: Width × Height

Step 3: Add up the area of all faces of the rectangular prism.

Surface Area = 2(LW + LH + WH)

To learn more about : Rectangular Prism

https://brainly.com/question/30337697

#SPJ8

Answer:

r = k/2 + 35/2

Answer:

See below:

Step-by-step explanation:

A. y = 30 + 12.50x

Let x be the number of people. It costs 12.50 per person, so y = 12.50x. Notice how the delivery fee is not per person, meaning that the delivery fee is not impacted by the amount of people buying it. Thus, y = 12.50x + 30

B. c = 0.12m + 8.00

See explanation of A:

C. 2

The slope of a line in y-intercept form ( y = mx + b ), is the number before the x. In this case, there is a 2 before the x.

D. y = 2/3x - 3

In slope intercept form, y = mx + b. Plug in the values of m ( slope ) and b( y-intercept ) and you get y = 2/3x - 3

E. y = 1/2x

The slope can be found by dividing the change of y by the change of x. Our points are (0,0) and (2,1). The change in y is 0-1, which is -1; the change in x is (0 - 2), which is -2. -1/-2 is 1/2 so the slope of the line is 1/2. Because when x = 0, y = 0 too, there is no y-intercept, so the equation of the line is y = 1/2

Answer:

The answer is B.

Step-by-step explanation:

Y = the holiday meal costs

If they’re charging a holiday meal per person the equation would be 12.50x = y

But we also have a $30 delivery fee so it would be

12.50x + 30 = y

So the equation represents

A holiday meal costing 12.50 is ordered for an x amount of people. There is also a $30 delivery fee. The meal costed y amount of dollars.

Answer:

12 girls

Step-by-step explanation:

So the ratio of girls to boys is 4:3 and if there are 9 boys you multiply the number 3 by 3 to get 9 and do the same to the other side to get 12

Answer:

36.0555

Step-by-step explanation:

Answer:

= square root of 7 i believe

Step-by-step explanation:

Answer: x^4X\sqrt{x}

Step-by-step explanation: x9" was replaced by "x^9".

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x9) = x4 • SQRT(x)  

Simplified Root :

x4 • sqrt(x)

Answer:

1331

Step-by-step explanation:

since 11 cube is 1331

plz mark as brainliest