please help me intercept the slope

Answer:

13.8 watts

Step-by-step explanation:

23% of 60 is 13.8

A formula that yields all answers for various parameter values is referred to as a general solution of a system of linear equations.

Any collection of linear equations is known as a system of linear equations. Any common solution to a set of linear equations is known as a solution. If there is a solution, a system is said to be consistent. A formula that yields all answers for various parameter values is referred to as a general solution of a system of linear equations.

A set of values for the variables x, y, z, etc. that simultaneously satisfy every equation in a system of equations is known as the solution. The collection of all solutions is known as the solution set for a system of equations. Finding every answer using formulas containing a certain number of parameters is the definition of system solving.

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Answer:

9 + 18q

Step-by-step explanation:

You have to multiplied this polynomial expression in order to simplified it:

3(3 + 6q)

9 + 18q

Answer:

9+18q

Step-by-step explanation:

3[3+6q]

[3times 3]+[3times 6q]

that is how we arrive at the answer

9+18q

The solution of this system of linear inequalities is (x,y) = (4,2).

The system of linear inequalities that has a solution 3 2 is given by the following equations:

x + 2y ≥ 3

2x + y ≤ 6

From the first equation, we can express y in terms of x:

y ≥ 3 - (1/2)x

Substituting this expression for y in the second equation, we get:

2x + (3 - (1/2)x) ≤ 6

Solving this equation for x, we get x = 4.

Substituting x = 4 in the expression for y, we get y = 2.

Therefore, the solution of this system of linear inequalities is (x,y) = (4,2).

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  An object's average speed is a measurement of how quickly it moves over a predetermined amount of time. The calculation is done by dividing the overall distance travelled by the overall travel time. In other words, it reveals the average amount of distance an object has travelled per unit of time.

 In the case provided, we can apply the following calculation to get the average speed of the car:

average speed = total distance / total time

In this instance, a total of 300 kilometers was travelled while 5 hours were expended.

so, average speed = 300 km / 5 hours

                               = 60 km/h.

  This indicates that the car travels at an average speed of 60 kilometers per hour. This represents the average speed of the car's five-hour journey. Although the car may have gone faster or slower at various points throughout the course of the five hours, on average, it was moving at a speed of 60 kilometers per hour.

 Therefore, the average speed of the car is 60km/h .

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Weidman discovered the exact answer to the equation in the form of an exponential function that nearly resembles the geometry of the upper part of the tower.

The Eiffel Tower's summit is where four pals intend to meet. Each person arrives about the time the tower opens and begins ascending to the top. The graphs display how many steps each person has ascended in the past m minutes since the tower opened. In honor of their achievements, the Eiffel Tower has 72 names of French mathematicians, engineers, and scientists inscribed on it.

Because he was concerned about the protests against the tower, Gustave Eiffel selected this "invocation of science." The Esplanade, the first floor, the second floor, and the summit of the Eiffel Tower are its many levels. While there are 1,665 stairs in the Tower from the ground to the top, only 674 can be climbed to reach the second floor (327, then 347 steps). From the second story, you cannot ascend the steps all the way to the top since it is unsafe for visitors to enter this area.

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Domain of function [tex]x^3[/tex] is R(Real number) and range of function is also R.

Let's know about domain: the domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. 

Range: the range of a function is the set of all possible values for the dependent variable's outcomes, or the whole set of all possible values when the domain is substituted.

[tex]x^3[/tex]is a polynomial, which means that R is its domain, and in this case, R is also its range because the sole root that [tex]x^3[/tex] possesses.

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The pebble will hit the ground 3.5 seconds after it has fallen. Using the principles of quadratic equations, this can be resolved.

A quadratic equation is what?

Here, h0 equals 60 meters.

The quadratic equation is as follows:

h(t) = - 4.9t² + 60

When the pebble will hit the ground, then h(t) = 0

So the quadratic equation becomes:

0 = - 4.9t² + 60

or, 4.9t² = 60

or, t² = 12.24

or, t = 3.49 sec ≈ 3.5 sec

Therefore, after 3.5 seconds the pebble will hit the ground.

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For full question- refers to following image

Answer:

3.5

Step-by-step explanation:

on edge

The area of the enlarged map of the state of Colorado, based on the scale factor of 3.5, is A. 98 cm².

The scale factor refers to the ratio or size by which the shape is enlarged or reduced.

When a shape is scaled down, the scale factor is used to divide the given size or dimensions of the object.

On the other hand, when a shape or object is scaled up, the scale factor multiplies the given size or dimensions to determine the new scale size.

Length = 4 cm

Width = 2 cm

Area = 8 cm² (4 x 2)

Scale factor = 3.5

Length = 14 cm (4 x 3.5)

Width = 7 cm (2 x 3.5)

Area = 98 cm² (14 x 7)

Thus, the enlarged map's area is Option A. 98 cm².

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Answer: B: 42 cm2.

Step-by-step explanation:

The range of the given graph of the function is y ≤ 0. The correct option is A.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function will be the y value of the function. here in the graph, the y value is varying from 0 to negative infinite value which means that the y value will ranges from 0 and less than zero.

y ≤ 0

The correct option would be A.

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Answer:

357

Step-by-step explanation:

Since the prime factors of 315 are 3, 5, 7.

The inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions and shows the relationship between them. It is used to express that one value is either greater than, less than, greater than or equal to, or less than or equal to another value. Inequalities can be represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), ≠ (not equal to).

We know that Mr. Thornton has already loaded three horses into his trailer with the following weights: 890 pounds, 1250 pounds, and 940 pounds. To load a fourth horse, we need to know the total weight of the trailer and the horses.

Total weight of the trailer = 890 + 1250 + 940 = 3,080 pounds

The trailer can support no more than 4500 pounds, so we need to make sure that the total weight of the trailer and the fourth horse does not exceed 4500 pounds.

Therefore, we can write the inequality:

3,080 + w <= 4500

This inequality tells us that the total weight of the trailer and the fourth horse (3,080 + w) must be less than or equal to 4500 pounds.

To graph the solutions of this inequality on a number line, we can start by plotting point 4500 on the number line. Since the inequality contains the "less than or equal to" sign, we need to shade everything to the left of 4500, including 4500.

The solutions to this inequality are all possible weights of the fourth horse that would not cause the total weight of the trailer and the horses to exceed 4500 pounds. The solutions are all real numbers between 0 and 420.

It's worth mentioning that the solution set is an interval [0,420] and it includes 0, but not 420. It means that the horse can weight 0 pounds (which is not possible) but it can't weight 420 pounds since it would exceed the maximum weight that the trailer can support.

Hence, the inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.

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Answer: Make 7 jumps that are each 0.2 units long. You end at 1.4, which is the product of 7 and 0.2.

An equation to determine the length would be L = 63 inches.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements

Given, The width is one-third the length of the picture and the width is 21 inches.

Assuming the length of the rectangle to be 'L'.

Therefore, An equation to determine the length would be,

(1/3)×L = 21.

L = 63.

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No, a triangle cannot have two sides.

A triangle is a three-sided polygon with three edges and three vertices in geometry. The total of a triangle's internal angles equals 180 degrees, which is its most important feature. This is known as the angle sum property of a triangle.

Triangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines.

If ABC is a triangle, it is denoted as ABC, where A, B, and C are the triangle's vertices. In Euclidean geometry, a triangle is a two-dimensional shape represented by three non-collinear points in a single plane.

Thus, No, a triangle cannot have two sides.

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Answer:

5

Step-by-step explanation:

3(n + 1) = 5.4

3n + 3 = 5.4

3n = 5.4 - 3

3n = 2.4

n = 2.4/3

n = 0.8

The irregular polygon has an area of 39 square units.

In this question we find the case of an irregular pentagon, that is a polygon with five sides with different lengths and five different central angles. The area of any polygon can be found by summing the areas of rectangles and right triangles. The area formulas for rectangles and right triangles are shown below:

Rectangle

A = w · l

Right triangle

A = 0.5 · w · l

Where:

Now we proceed to determine the area of the irregular polygon:

A = 0.5 · 3 · 1 + 0.5 · 5 · 3 + 5 · 6

A = 1.5 + 7.5 + 30

A = 39

The area of the irregular polygon is equal to 39 square units.

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Answer: In mathematics, the method of polynomial interpolation is a method for constructing a polynomial function that passes through a given set of points. The polynomial function constructed in this way is called an interpolating polynomial. It is used to approximate a function when it is known only at a few discrete points, and the goal is to find a smooth curve that fits the data as closely as possible.

The method of polynomial interpolation involves finding the polynomial of the lowest degree that passes through a given set of points. This is done by setting up a system of equations using the coordinates of the points, and then solving for the coefficients of the polynomial. Once the coefficients are known, the polynomial function can be evaluated at any point within the domain of the data points.

There are several different techniques that can be used to find the interpolating polynomial, such as the Lagrange interpolation, Newton's divided differences method and the least-squares method. The choice of method will depend on the specific problem and the desired properties of the interpolating polynomial.

In summary, the method of polynomial interpolation is a technique used to construct a polynomial function that passes through a given set of points. It is used to approximate a function when it is known only at a few discrete points and aims to find a smooth curve that fits the data as closely as possible.

Step-by-step explanation:

The solution is 175(2v-5)³(v-4)³³¹

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Based on the given task content; Scott error was adding 9 to both sides of the equation and the correct solution is y = -11

Scott solution:

y-(-9)= -2

check:

7 (-9) = -2.

16= -2

y- (-9) + 9 = -2+9

y=7

Correct solution:

y-(-9)= -2

y + 9 = -2

Subtract 9 from both sides

y = -2 - 9

y = -11

Check:

y-(-9)= -2

-11 - (-9) = -2

-11 + 9 = -2

-2 = -2

In conclusion, the solution to Scott's equation is y = 11

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The descending order sum of a quadratic term, a linear term, and a constant are several ways to express a quadratic equation.

1. Regular format

2.Vertex shape

3. Detect type

4. Point-slope form

Let's examine the format of these forms.

1. Typical form:

When utilizing factoring or the quadratic formula to locate the equation's roots, this form works well.

[tex]y=ax^2+bx+5c[/tex]

2.Vertex shape

When attempting to determine the vertex (highest or lowest point) of a quadratic equation, this form works best.

y=a[tex](x+h)^2[/tex]+k

3.Intercept type:

y=a(x-p)(x-q)

4.Point-slope form

The usual form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points.

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Rainfall decreases as latitude increases between thirty and sixty degrees latitude is the best description of the rainfall trend.

At thirty degrees latitude, the Intertropical Convergence Zone (ITCZ) is located, which is a band of low pressure that circles the Earth near the equator.

This zone experiences high precipitation due to the rising and falling of air masses caused by the warm equatorial waters. As we move away from the equator towards sixty degrees latitude, the ITCZ shifts northward and the land and sea temperatures decrease, resulting in less precipitation and less humidity.

This trend is known as the latitudinal rainfall gradient, which states that precipitation decreases as latitude increases. This can be observed in the subtropical regions such as the Mediterranean, the western United States, and the southern parts of Africa, among others.

Also, the trade winds blowing from east to west towards the equator, which are prevailing winds in the tropics, push the clouds and precipitation towards the equator, this is why the equatorial regions receive more rainfall than the regions located away from the equator.

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The length of FM in the triangle is 2.8

A triangle is a three-sided polygon that consists of three edges and three vertices

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

FG is the congruent side of FM

FG=FM

The length of FG is 2.8

So 2.8=FM

Hence, the length of FM in the triangle is 2.8

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The ribbon is 11 inches long while the car travels at 184800 feet per hour

An equation shows the relationship between numbers and variables in an expression.

1) A ribbon is 28 cm long

1 inch = 2.54 cm

Converting the ribbon length to inches:

28 cm = 28 cm * 1 in per 2.54 cm = 11 inches

The ribbon is 11 inches long

2) A car travels 35 miles per hour

5280 feet = 1 mile

Converting to feet per hour:

35 miles per hour = 35 miles per hour * 5280 feet per mile = 184800 feet per hour

The car travels at 184800 feet per hour

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Answer:

If 5x+17 is rent and electricity combined, and 3x-4 is just rent, then to find electricity, you need to subtract 3x-4 from 5x+17 to get just rent. (5x+17)-(3x-4) = 2x + 21. So he spends 2x +21 dollars on electricity. To find the value of x when the shopkeeper spends less than $100 on electrcity, make the equation for electricity equal 100. 100 = 2x +21, then solve for x. 79 = 2x. x = 39.5 All of the values of x would be under 39.5. x>39.5

The difference in elevation between the two points is

An elevation can be defined as the height or depth of a point using the sea level as the reference point. Thus when an object is above the sea level, its elevation or altitude can be determined. But if the object is below the sea level, its depth can be determined.

The sea level is taken to be zero, while elevation is positive. but depth is taken as negative.

Therefore, the difference in elevation between the volcano and oceanic trench can be determined by taking the sea level as 0.

elevation between the two points = elevation - depth

                               = 13741 - (-21151)

                               = 13741 + 21151

                               = 34892

elevation between the two points = 34892 feet.

The difference in elevation between the two points is 34892 feet.

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The expected answer is AD.

A segment has a unique property of having two end points such that it can be differentiated from a ray or line. A given segment can be divided into a required number of parts, so that addition or subtraction operations can be performed on some or all parts of the segment.

In the given question, we have;

AE = AB + BC + CD + DE

AC = AB + AC

CE = CD + DE

BD = BC + CD

BE = BD + DE  etc.

Therefore, the appropriate answer after showing the steps is;

AC + CD = AD

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Answer:

-8.7 degrees

Step-by-step explanation:

22.2-30.9=-8.7

The measure of elevation refers to angle of elevation. And the angle of elevation is: 68°

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. The angle created is an angle of elevation if such sight line is upward from the horizontal line. An angle having one arm above horizontal and one arm below it is referred to as an angle of elevation. An elevation angle typically ranges from 0° to 90°.

The altitude angle—also referred to as the "solar elevation angle"—describes how high the sun looks in the sky. The observer's position on a horizontal plane and an imaginary line from the sun to the observer are used to calculate the angle.

The problem forms a right triangle, and we know its hypotenuse and the horizontal leg. Using trigonometric reason we find the angle,

cosθ = 9/24

θ = cos⁻¹ (9/24)

θ = 67.97 ≈ 68°

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