Write the equation that represents the line use exact numbers

Answer: 18 is 45% of 40

18/40 =.45

.45 x 100 = 45%

Answer:

Where exactly is the "the following" you are talkibg about.

Answer:40 miles

Step-by-step explanation:

Answer:

It is the same as subtracting 6.

Step-by-step explanation:

1 + (-6) = 5

1 - 6 = 5

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

Speed is simply distance traveled per unit time.

Speed = distance / time

Given the data in the question;

First, convert the unit of distance from miles to meter.

Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m

Now, plug the values into the equation and solve for time.

Speed = distance / time

4.25m/s = 42164.708m / time

Time = 42164.708m ÷ 4.25m/s

Time = 9921.1077647s

Next, convert to hours,

Time = 9921.1077647 ÷ ( 60 × 60 )

Time = 9921.1077647 ÷ 3600

Time = 2.76 hours

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

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Step-by-step explanation:

2a: Domain [3,7] Range: [1,5]

2b: domain: (-infinity, 1] Range: All real numbers

2c: domain [-3, 6] range [-4,2]

2d: (-infinity,-2] U (2, infinity] range: [0, infinity)

2e domain is [0, infinity) range is all real numbers

Answer:

15 (x + 2\/5)^2 + 28\/5

Step-by-step explanation:

Step-by-step explanation:

I assume these are all angles.

4x is the arc angle (at the center of the circle) between the 2 endpoints of the short triangle side (baseline).

the trials itself is isoceles, so both legs have the same length, bedclothes the arc angles between their endpoints are equal.

now, when we move the reference point of an arc angle back, back, back to the circle arc, the angle is cut in half.

so, the inner top angle of the triangle is therefore 4x/2 = 2x.

because of the isoceles nature, the second triangle inner angle at the baseline is also x.

the sum of the triangle angles is therefore

2x + x + x = 4x

and we know the sum of all angles in a triangle is always 180°.

so,

4x = 180

x = 180/4 = 45°

4x is then again 180°, and 2× 8y are then the remaining 180° of the full circle 360°.

2× 8y = 180

8y = 90

y = 90/8 = 11.25

x = 45

y = 11.25

The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4

Answer: p = 4s

Step-by-step explanation:

     The perimeter is the measurement around a shape's sides. In other words, if a square has four sides, we will add up all the sides to find the perimeter.

      Since a square's sides are all congruent, we can multiply the length of one side (s) by 4 to find the total perimeter (p). This becomes:

      p = 4s

The measures of angles B and C are 118° and 62°, respectively.

A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.

When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.

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If a delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.

Given:

Weight of the delivery person=160 lb

Weight of box of book=50 lb

Maximum capacity=1,000lb

Let b represent the number of boxes of books

Hence,

160+50b=1,000

Collect like terms

50b=1000-160

50b=840

Divide both side by

b=840/50

b=16.8 boxes of books

Therefore the maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.

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Answer:

Step-by-step explanation:

subsitute x with value given in bracket

a) f(1) = (1)²  + 1 = 2

b) f(-3) = (-3)² + 1 = 10

c) f(b³) = (b³)² + 1 = b^6 + 1

d) f(x-1) = (x-1) +1 = x

Answer:

1) 1/2 × 3/5 = 45/150

2) 5/5 × 3/5 = 90/150

3) 2 2/3 × 3/5 = 1 90/150

Explanation below

Explanation belowHope this helps :)

Step-by-step explanation:

1/2 × 3/5 = 3/10

2 2/3 × 3/5 = 8/3 × 3/5 = 24/15

5/5 × 3/5 = 15/25

We need to find the Least Common Multiple (LCM) to order them from least to greatest.

The LCM is 150.

3/10 = 45/150

24/15 = 1 9/15 = 1 90/150

15/25 = 90/150

So the order from least to greatest is ...

1) 1/2 × 3/5 = 45/150

2) 5/5 × 3/5 = 90/150

3) 2 2/3 × 3/5 = 1 90/150

Step-by-step explanation:

a/b = 5/6

a + b = 44

a = 44 - b

so, the first equation is

(44 - b)/b = 5/6

44 - b = 5b/6

264 - 6b = 5b

264 = 11b

b = 24

a = 44 - b = 44 - 24 = 20

the fraction is a/b = 20/24.

Also 2+4 as sum of the digits of the denominator = 6 is correct.

Answer:

Perpendicular lines.

Answer:

2

Step-by-step explanation:

The approximate side length of a square on the quilt = 6.32 inch

In this question,

Taynia makes a quilt using fabric squares.

We have been given the side length of each fabric square is the square root of the area.

Here, the area of each fabric square is 40 square inches.

We need to find the approximate side length of a square on the quilt.

Let A be the area.

A = 40 square inches

To find the side length, we need to take the square root of 40.

Let s be the side length.

⇒ s = √A

⇒ s = √40

⇒ s = 6.32 inch

Therefore, the approximate side length of a square on the quilt = 6.32 inch

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we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.

We are given the expression:

(a b² + 26² ) + ( - 6 c a b² + 26² )

We need to find its sum.

a b² + 26² - 6 c a b² + 26²

a b²  - 6 c a b² + 26² + 26²

a b²  - 6 c a b² + 676 + 676

a b²  - 6 c a b² + 1352

a b² ( 1 - 6 c) + 1352.

Therefore, we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.

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The function F to be used to convert the temperature is; F = ⁹/₅C + 32

From the given information, we can tag the coordinates as;

(32,0) and (212,100)

Thus, the slope is calculated as;

m = (100-0)/(212-32)

m = 100/180

m = 5/9

The intercept is;

c = y - mx

c = 0 - (5/9)(32)

c = 0 - 160/9

c = -160/9

The line equation is;

y = 5/9 x + (-160/9)

y = 5/9 x - 160/9

y = 5/9 (x - 32)

Let x = F and y = C and we have;

F = ⁹/₅C + 32

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Answer: Original value: 0.076952

Value (with 3 decimal places): 0.077

Step-by-step explanation: hope this helps

For 6 hours the temperature is held steady

Solution :

Line Graph:

A line graph—also known as a line plot or a line chart—is a graph that uses lines to connect individual data points. A line graph displays quantitative values over a specified time interval. In finance, line graphs are commonly used to depict the historical price action of an asset or security.

Line graphs can be compared with other visualizations of data including bar charts, pie charts, and (in trading) candlestick charts, among others

Temperature Rose:

It is the increase over ambient temperature of the winding due to energizing and loading

stayed steady:

A steady situation continues or develops gradually without any interruptions and is not likely to change quickly.

Temperature fall :

Temperature drop (T1−T2) is a direct indication of energy extracted. For a given resource, it is dependent on T2 which is in turn dependent on the minimum temperature of the process Ti.

There, we can see that the temperature between 12 noon to 6 pm is not changed much.

therefore we can say that for 6 hours the temperature is holding steady.

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The length of the segment CA is 7.

Length of the segment

Basically, length of the line segment is fixed, which is the distance between two fixed points.

The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.

Given,

A is lies between C and T.

Then the values of CT = 25 and AT = 18.

Now we have to find the length of the segment CA.

Consider the point C, A and T are in straight line.

Then A lies between C and T.

So, it is the center point between C and T.

Here we have the length of total line that is

=> CT = 25.

And the length of AT, that is

=> AT = 18.

Then we need to find the length of the segment CA,

By subtracting the length of AT from the total length CT,

That is,

=> CA = CT - AT

Apply the values,

=> CA = 25 - 18

=> CA = 7.

Therefore, the length of the segment CA is 7.

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The measure of the angle 8 is option (d). 106.

Measure of Angle

Angle measurement is the amount of rotation from the initial to an endpoint of a ray.

Given,

Measure of Angle 2 = 8x + 10

Measure of angle 6 = x² - 38

Here we need to find the measure of angle 8.

Let us consider the angle 2 and 6 are corresponding angles.

Then,

Measure of Angle 2 = Measure of Angle 6

Apply the corresponding values,

Then we get,

8x + 10 = x² - 38

It can be written as,

=> x² - 38 - 8x - 10 = 0

=> x² - 8x - 48 = 0

When we factorize the equation,

Then we get,

=> (x + 4) ( x - 12) = 0

Then the value of x will be x = -4 and 12.

Here the value of x can't be negative.

So,

=> x = 12

Now apply the value of x on the measure of angle 2,

=> 8(12) + 10

=> 96 + 10

=> 106

So, the measure of angle 8 is option (d). 106.

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Answer:

Uh  Lainey spends 7.20$

Step-by-step explanation:

3.2/4 is 1 book price, 0.8 is one book price, so 9 books price is 0.8*9 which is 7.2

Answer:

let's assume that Sandra's regular hourly rate is x dollars per hour then she is paid 1.5x per hour for the overtime and we have 40x + (48 - 40) *1.5x = 442

Step-by-step explanation:

The individuals of a set are the various data or variable of a data set.

The study's participants or study subjects are referred to as individuals. The trait of the person being measured or observed is known as a variable. For instance, if we were to do a research on climbers of Mount Everest, the participants would be the real climbers who succeeded in reaching the summit.

A categorical variable places each individual in to a category such as male or female.

A quantitative variable has numerical values that measure some characteristic of each individual, such as height in centimeter or salary in dollars.

The problem deals with the concept of types of variables. We use the definition of variables to identify/determine the type variable from the known information.

The individuals in the data set are vehicles or cars.

The given information is related to the different types of cars and its model, and specifications. Hence, the vehicles or cars are individuals in the data set.

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Answer:

Step-by-step explanation:

4 rides

Answer:

4 rides is the answer to this question