what is the upper sum for f(x)=17−x2 on [3,4] using four subintervals?

Answers

Answer 1

the upper sum for f(x) = 17 - [tex]x^{2}[/tex] on the interval [3, 4] using four subintervals is approximately 6.46875.

To calculate the upper sum, we divide the interval [3, 4] into four subintervals of equal width. The width of each subinterval is (4 - 3) / 4 = 1/4.

Next, we evaluate the function at the right endpoint of each subinterval and multiply it by the width of the subinterval. For this function, we need to find the maximum value within each subinterval. Since the function f(x) = 17 - [tex]x^{2}[/tex] is a downward-opening parabola, the maximum value within each subinterval occurs at the left endpoint.

Using four subintervals, the right endpoints are: 3 + (1/4), 3 + (2/4), 3 + (3/4), and 3 + (4/4), which are 3.25, 3.5, 3.75, and 4 respectively.

Evaluating the function at these right endpoints, we get: f(3.25) = 8.5625, f(3.5) = 10.75, f(3.75) = 13.5625, and f(4) = 13.

Finally, we calculate the upper sum by summing the products of each function value and the subinterval width: (1/4) × (8.5625 + 10.75 + 13.5625 + 13) = 6.46875.

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Related Questions

Yésica explicó al grupo el procedimiento que permite obtener el ángulo interno que se forma entre cada uno de los vértices del polígono que se muestra en la imagen ¿cual es este ángulo?

Answers

On solving the provided question, we can say that as we have a hexagon here, each angle = x = 120

what is hexagon?

A hexagon is a six-sided polygon or hexagon in geometry that makes up the cube's outline. A straightforward hexagon's internal angles add up to 720°. A closed two-dimensional polygon with six sides is what is known as a hexagon in geometry. Additionally, a hexagon has 6 corners on each side. Hexa signifies six, and gona denotes an angle. Soccer balls, honeycombs, floor tiles, and surfaces of pencils are all hexagonal in shape. A hexagon is a polygon with six sides in geometry. A hexagon is referred to as a regular hexagon if all of its sides and angles have the same length.

as we have a hexagon here,

so sum of angles = 720

x+x+x+x+x+x = 720

6x = 720

x = 720/6

x = 120

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Triangle ABC ~ triangle DEF. Use the image to answer the question.


Determine the measurement of EF.

EF = 1.1
EF = 1.39
EF = 2.37
EF = 3.3

Answers

If Triangle ABC ~ triangle DEF then the measurement of EF is 2.37

What is Triangle?

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 .

Triangle ABC ~ triangle DEF

The sides of triangle ABC are proportional to sides of triangle DEF

ED/AB=EF/7.9

3.3/11=EF/7.9

0.3=EF/7.9

Apply cross multiplication

EF=2.37

Hence, if Triangle ABC ~ triangle DEF then the measurement of EF is 2.37

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Function or not a function???

Answers

It is a function. Remember that as long as the x values are not repeating, it is a function

what is the value of this expression 3(wx8)+x please help peepss

Answers

Answer:

24wx + x

Step-by-step explanation:

3( wx8) + x

3(8wx) +x

3 × 8wx + x

\ /

24wx + x

WIL GIVE BRAINLIEST
The length of chord RS is 24 cm. The length of a line segment perpendicular to chord RS from the centre of the circle, O, is 5 cm. What is the radius of the circle?

Answers

Answer:

radius = 13 cm

Step-by-step explanation:

the segment OT bisects the chord RS , then

RT = 12 cm

the radius of the circle is the line OR

using Pythagoras' identity in the right triangle RTO

OR² = RT² + OT² = 12² + 5² = 144 + 25 = 169 ( take square root of both sides)

OR = [tex]\sqrt{169}[/tex] = 13

that is the radius = 13 cm

area to pyramid prism 6 5 5

Answers

Answer:

a= 92.7

Step-by-step explanation:

Assuming the width and height are 5 and the length is 6

Marissa deposited $900 in her savings account. The rate of simple interest is 5% power year. Find the balance at the end of 4 years.

Answers

Answer:

$1080

Step-by-step explanation:

F = P + Prt

r = 5% = 0.05; t = 4

F = $900 + $900 × 0.05 × 4

F = $1080

Lisa also cleans windows on the weekend. She charges $10 a window plus a $5 flat supply fee, regardless of the size of the window. Write the total charge, c, of a cleaning job as a function of the number of windows (w).

Answers

Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

What was the steps to find this answer?

So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:

→ w = 10

→ 10w

$5 in the other hand, is independent.

→ + 5

→ c = 10w + 5

Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

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What number represents the same as 1 hundred plus 5 tens plus 12 ones?

Answers

Answer:

162

Step-by-step explanation:

1 hundred (100) + 5 tens (50) + 12 ones (10+2)

100+50+12 = 162

What will be the additive inverse of (- 3 9?

Answers

The additive inverse of (-3 9) is (3 -9). This means that if you add the two numbers together, the result is zero.

(-3 9) + (3 -9) = 0

The additive inverse of a number is a number that when added to the original number produces a result of zero. In other words, the two numbers have the same absolute value, but one is the opposite sign of the other.

For example, the additive inverse of (-3 9) is (3 -9). This means that if you add the two numbers together, the result is zero. To demonstrate this mathematically, (-3 9) + (3 -9) = 0.

The concept of additive inverse is important in mathematics because it is used to solve equations. By understanding the concept, you can quickly find the solution to an equation by adding the opposite of the number in question.

Furthermore, additive inverse is also important in understanding the concept of subtraction. Subtraction can be thought of as addition of the inverse of the number being subtracted. For example, if you subtract 3 from 9, you can also think of it as adding the inverse of 3 to 9, which would be (-3). Therefore, 9 - 3 = 9 + (-3) = 6.

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What type of number is -1016?
a. Rational
b. Integer
c. Rational and integer
(Justify)

Answers

-1016 is a rational number and integer

What are rational and integers?

Integers are basically the whole numbers that can be positive, negative, or zero. In integers, fractional numbers are not included. For instance, -2, -3,0,1,5, and so on are integers.

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0.

Example of rational numbers are 1/2 , 2/1 , 3/5 e.t.c.

All positive and negative integers are also rational numbers.

Therefore the number -1016 is a both a rational number and an integer.

This is because all positive and negative numbers are integers.

And -1016 can be written as -1061/1 which makes it a rational number.

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The posted rates for cab fare are $4 plus $1 per mile. How many miles can a passenger travel in the cab for $15?
a) 11
b) 8
c) 14
d) 15

Answers

Answer:

Step-by-step explanation:

How do you dilate a triangle with a scale factor of 3?

Answers

Dilation is a transformation that changes the size of an object while keeping its shape the same.

In this case, the scale factor of 3 tells us that the triangle will be three times larger than the original triangle.

To perform the dilation, you would take each vertex of the triangle and multiply the x-coordinate and y-coordinate by 3. For example, if one vertex of the original triangle had coordinates (x, y), the coordinates of that same vertex in the dilated triangle would be (3x, 3y).

It's also worth noting that the dilation is done with respect to a fixed point called the center of dilation. You can think of this point as the "pivot" around which the dilation occurs.

The center of dilation is typically represented by the letter "O".

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Amir operates a large lobster boat. The operating cost for the boat is $2.250 each day. At the end of each day, he sells all his freshly caught lobster to either the local restaurant or the local grocery store with the following conditions:

• The price per pound that the restaurant is willing to pay follows a triangular distribution with minimum value $1.50, maximum value $5.50, and likeliest value $3.50.

• The price per pound that the grocery store is willing to pay is decreasing with more lobsters: $3.85 - 50.0005 * y, where y is the total lobster amount sold in pounds.

• The amount of lobster that Amir catches in a single day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds.

Amir decides to sell a fixed percentage of lobster to the local restaurant and the rest to local grocery stores. Using either math or simulation, can you help Amir determine what percentage he should choose in order to maximize his expected profit in the long run?
Previous question

Answers

The expected profit in the long run can be determined by calculating the expected value of the total revenue from selling the lobsters. The expected total revenue is the sum of the expected revenue from selling the lobsters to the restaurant and the from selling the lobsters to the grocery store.

The expected value of the revenue from selling the lobsters to the restaurant can be calculated by multiplying the expected price per pound from the restaurant by the expected amount of lobsters caught in a day. The expected price per pound from the restaurant follows a triangular distribution with minimum value $1.50, maximum value $5.50, and likeliest value $3.50. The expected amount of lobsters caught in a day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds.

The expected value of the revenue from selling the lobsters to the grocery store can be calculated by multiplying the expected price per pound from the grocery store by the expected amount of lobsters caught in a day. The expected price per pound from the grocery store is decreasing with more lobsters: $3.85 - 50.0005 * y, where y is the total lobster amount sold in pounds. The expected amount of lobsters caught in a day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds.

Given the expected values of the total revenue from selling the lobsters to the restaurant and the grocery store, Amir can use simulation to determine the optimal percentage of lobsters to sell to the restaurant in order to maximize his expected profit in the long run. He can run several simulations with different percentages of lobsters to be sold to the restaurant and compare the expected profits for each simulation. The percentage that produces the highest expected profit is the optimal percentage for Amir to maximize his expected profit in the long run.

Amir can use simulation to determine the optimal percentage of lobsters to sell to the restaurant in order to maximize his expected profit in the long run. He can calculate the expected value of the total revenue from selling the lobsters to the restaurant and the grocery store, and then run several simulations with different percentages of lobsters to be sold to the restaurant to compare the expected profits for each simulation. The percentage that produces the highest expected profit is the optimal percentage for Amir to maximize his expected profit in the long run.

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-3x=-15 solve for please

Answers

Answer:

x = 5

Step-by-step explanation:

-3x = -15  Divide both sides by -3

[tex]\frac{-3x}{-3}[/tex] = [tex]\frac{-15}{-3}[/tex]    A negative divided by a negative is a positive.

x = 5

Can someone please help me.i really need help

Answers

Answer:

25%

Step-by-step explanation:

Because the thing is divided in to fourths the is 1/4 chance of getting any of those four numbers. Also 1/4 as a percentage is 25%

The answer is 25% Explanation, there are 4 sections in the spinner, so each section 1/4. 1/4=25%

Solve each system by using submilation

Answers

The third variable should be solved for by substituting the system accordingly within one of the original equations.

what is equations ?

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What to do to find the most basic form. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two spherical geometry and an equal sign in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of the a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar).  An identity holds true regardless of the value given to the variables.

given

From the system, choose any two equation pairings. The Addition/Subtraction technique should be used to remove so same element from each pair.

Apply the addition and subtraction method to the two new equations' system of problems.

The third variable should be solved for by substituting the system accordingly within one of the original equations.

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The complete question is :-

How to solve three system of equations ?

What is an example of a substitution property?

Answers

An example of substitution property is finding the solution of an algebraic expression.

The substitution property is a notion in algebra that is used for substituting the value of a given variable or a quantity into an expression to find the value of the unknown.

In other words, we can express that the substitution property is utilised to replace the value of a quantity in an equation or an expression to solve a mathematical problem.

For example, Find the value of the algebraic expression x² - 3x + 8 if x = 1.

Using the substitution property, we will substitute x with 1 in the given expression to find its value.

x² - 3x + 8 if x = 1

= 12 - 3(1) + 8

= 1 - 3 + 8

= -2 + 8

= 6

So, the value of the given algebraic expression x² - 3x + 8 is 6 when x = 1.

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Write a compound inequality that represents each phrase. Graph the solution.1.all real numbers that are less than −3 or greater than or equal to 5
2. The time a cake must bake is between 25 minutes and 30 minutes, inclusive
Solve each compound inequality. Graph your solution.
3. 5 y+ 2 > −10; 6. 5 −m< 4 or 7m> 35; 8. 3 >11k≥ −3

Answers

The compound inequality that represents each phrase is x=-3. An inequality expression is 25 < x < 30.

An inequality that combines two other inequalities by using either "and" or "or" is referred to as a compound inequality. In some cases, "and" won't be stated explicitly, but it is still understood. For instance, 1 x 3 simply means "x > 1 and x 3". However, a compound inequality using "or" is always explained in detail using "or." Conjunction and disjunction are the two forms of compound inequalities, and the following are their distinctions:

All real numbers that are less than -3 => x < -3

or greater than or equal to 5 => x≥5

Compounded inequalities :   x < -3 or  x≥5

From the graph, there is a hole at x = -3.

2. If you want to say that a cake needs to bake for between 25 and 30 minutes, you can use the inequality phrase 25 x 30. Option is the response that is appropriate (A).

What do math operations consist of?

The built-in functions for multiply, divide, and subtract can also be used to specify arithmetic operations.

Describe inequality.

Mathematical statements are considered to be unequal if at least two of the terms contain variables or integers that are not equal.

It has been stated that a cake should bake for a minimum of 25 minutes and a maximum of 30 minutes.

The time needed to bake a cake is between 25 and 30 minutes, which may be expressed as an inequality statement, where x

⇒ 25 < x < 30.

Therefore, the inequality expression is 25 < x < 30.

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An office building has two elevators. One elevator starts out on the 4th floor, 35 feet above the ground, and is descending at a rate of 2.2 feet per second. The other elevator starts out at ground level and rising at a rate of 1.7 feet per second



Answers

The system of equations is y = 35 - 2.2x and y = 1.7x.

The solution of the system of equations is (8.97,15.25).

At about 8.97 seconds, both elevators will be about 15.25 feet above the ground.

What is an elevator?

An elevator, often known as a lift, is a car that moves vertically in a shaft to transport passengers or freight between the levels of a multistory building. Most modern elevators are propelled by electric motors via a system of wires and sheave with the assistance of a counterweight (pulleys).

Given that there are two elevators in an office. The 4th floor of the office at 35 feet above the ground and is descending at a rate of 2.2 feet per second.

The equation represents the height of the elevator above the ground after x seconds is y = 35 + (-2.2)x. Since the elevator is descending at a rate of 2.2 feet per second.

The other elevator starts out at ground level and rises at a rate of 1.7 feet per second.

The equation represents the height of the elevator above the ground after x seconds is y = 1.7x. Since the elevator is rising at a rate of 1.7 feet per second.

The system of equations is

y = 35 + (-2.2)x .....(i)

y = 1.7x   ........(ii)

Solve the equations substitution method.

Putting y = 1.7x in equation (i)

1.7x = 35 + (-2.2)x

1.7x = 35 - 2.2x

Add 2.2x on both sides:

1.7x + 2.2x = 35

3.9x = 35

Divide both sides by 3.9:

x = 35/3.9

x = 8.97

Putting x = 8.97 in equation (ii)

y = 1.7 × 8.97

y = 15.25

After 8.97 seconds, the elevators will be 15.25 feet above the ground.

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The segment below is dilated by a scale factor of 4 to form G'H'. What is the
measure of G'H'?
G
21
H

Answers

Answer:

84

Step-by-step explanation:

To find the length of the image [tex]\overline{G'H'}[/tex], multiply the length of the preimage [tex]\overline{GH}[/tex] by the scale factor of [tex]4[/tex].

1) 5x + 2y = -4
2) -x + 2y = 8
these need to be in slope intercept form​

Answers

Answer:

1) y=5/2x +2

2) y=1/2x+4

Step-by-step explanation: Slope intercepts equation is y=mx+b. After solving your slopes for each problem would be 5/2x and 1/2x, then you would solve to find B, which for this problem is 2, and 4. You would leave the y as just a regular y for this problem.

1. Find the measure of the missing angle:
A
EN
D
1320
Ch
MESELE
HERO 4
270
STREETR
10
SAN VIERES
K
MAKAL
MESE THREE
PORTE
SEATTLEFFE
PERTINES
B

Answers

The measure of the missing angle is 21°.

How to find a interior and exterior angle of triangle? Interior angles of a triangle are the angles inside the triangle that are formed by the intersection of two sides. To calculate the measure of an interior angle, you can use the formula: interior angle = 180-(angle 1 + angle 2). This formula works for all triangles, regardless of the size or shape. Exterior angles of a triangle are the angles outside the triangle that are formed by extending one of the sides. To calculate the measure of an exterior angle, you can use the formula: exterior angle = angle 1 + angle 2. This formula works for all triangles as well. To find the interior and exterior angles of a triangle, you need to know the measures of the angles of the triangle. If you don’t know the measures of the angles, you can use the following steps:

1. Measure the length of each side of the triangle.

2. Using the triangle inequality theorem, determine the angles of the triangle.

3. Use the formula to calculate the measure of each interior and exterior angle.

By following these steps, you can easily calculate the interior and exterior angles of a triangle.

Solution:

To measure a missing angle of triangle,

∠ABC + ∠ACB + ∠CAB = 180°

x + 132° + 27° = 180°

x + 159°  = 180°

x = 180° - 159°

x = 21°

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the opposite of z is greater than 5 what are two possible values of z what are two values of z that cannot be

Answers

Absolute functions and inequality signs are both included in an expression to be considered an absolute value inequality.

What do absolute value inequalities mean?

The absolute value inequality is demonstrated by the values of z.

Between -6 and -7 are z's range of values.Six and seven are quantities that can't be z.Any z value less than -5 is considered to be negative.

The z values that can be used

Z's polar opposite is bigger than 5.

the following absolute value inequality results.

[tex]$|z| > 5$[/tex]

Expand

[tex]$z > 5$ or $z < -5$[/tex]

The number five is a good one.

So, we use the inequality to our advantage.

[tex]$z < -5$[/tex]

According to the inequality above, z might have a value between -6 and -7.

There are more z values to be aware of.

The values that z cannot exist in (a) are as follows:

[tex]$z > 5$ or $z < -5$[/tex]

Inequality is a representation of the values that z cannot be.

[tex]$z > 5$[/tex]

Z cannot be 6 or 7 given the inequality above.

They are all negative numbers less than -5, which is the accurate statement about the values of z.

The complete question is:

The opposite of z is greater than 5. a. What are two possible values of z? What are two values that z cannot be? What must be true about all possible values of z? Show your work.​

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Is the linear expression a factor of the polynomial?
Polynomial: 2x3 +7x²-15x
Linear Factor. x+5

Answers

Since, f(0)=0, hence the given x-5 is the factor of given function.The slope-intercept form of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

How is a function defined as linear?

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given, equation

[tex]f(x)=2x^3+7x^2-15x[/tex]

putting x=-5 in above equation

[tex]f(-5)=2*(-5)^3+7*(-5)^2-15*(-5)\\f(-5)=0[/tex]

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Since, f(0)=0, hence the given x-5 is the factor of given function.The slope-intercept form of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

How is a function defined as linear?

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given, equation:

f(x) = 2x³ + 7x² - 15x

Putting x = -5 in above equation:

f(-5) = 2 * (-5)³ + 7 * (-5)² - 15 * (-5)

f(-5) = 0

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If (z-1/z)=6 find the value of :
(z+1/z)

Answers

Answer: [tex]\frac{(\sqrt{10} +3)^{2}+1 }{\sqrt{10}+3 }[/tex]

Step-by-step explanation:

What is the volume of this solid? use 3.14 for pi. responses 37.68 cm³ 37.68 cm³ 138.16 cm³ 138.16 cm³ 169.56 cm³ 169.56 cm³ 207.24 cm³

Answers

The volume of the solid is 207.23 cm³.

Volume of the Solid:

Volume is the area occupied by an object/matter (solid, liquid, gas) within a 3D object. Alternatively, the volume of a three-dimensional object is generally defined as the capacity of the object that matter can hold.

For example, the volume of a cubic box indicates how much water or other substance it can contain. For ice cream cups, the amount of ice cream that can fit in the cup without gaps corresponds to the volume of the ice cream cup.

Now, based on the question:

Volume of Solid = Volume of Cylinder + Volume of Cone

Volume of Cylinder = πr²h

v= 3.14 * (3)² * 6

v = 169.56

Volume Of Cone:

Cone volume defines the space or volume of the cone. A cone is a three-dimensional geometric shape with a circular base that tapers from a flat base to a point called an apex or vertex. A cone is formed by a series of line segments, half-lines, or lines connecting vertices that are common to all points on the base in a plane that does not contain vertices. A cone can be thought of as a series of noncongruent disks that overlap each other such that the ratios of the radii of adjacent disks are kept constant.

We know that :

Volume of Cone = πr² h/3

v = 3.14 * (3)² * 4/3

v = 37.7

Now,

Volume of Solid = 169.56 + 37.7

              = 207.26 cm³

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What is r in math example?

Answers

The r in math example is a real number .

What is an integer ?

integer can be defined as a whole number but not a fraction number in which it can be positive , negative or zero and integer is denoted by the letter Z , integers additionally does now not include the fractional part. for that reason, we are able to say, integers are numbers that can be positive, negative or 0, but cannot be a fraction. we will carry out all the arithmetic operations, like addition, subtraction, multiplication and division, on integers.

The examples of integers are, 1, 2,-4,-8 and etc.

Real number can be any number, fraction, decimal, whole, positive, negative

So the examples for the real numbers are 1/2 , 2.3 , +4 , -69 and etc .

Hence, The r in math example is a real number .

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look at pic pls help

Answers

Answer:

[tex]x=6.40[/tex] (to 3sf)

Step-by-step explanation:

Height of triangle = 14 - 10

                             = 4

Following the Pythagoras' Theorem,

[tex]x^{2} =5^{2} +4^{2} \\x^{2} =41[/tex]

∴ [tex]x=6.40[/tex] (to 3sf)

How do you solve y =- 2x 2?

Answers

The slope is 2 using the slope-intercept form. As the slope of the line in slope-intercept form is the coefficient of x, the slope of the line is -2.

what is slope ?

The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).

given

The slope is 2 using the slope-intercept form.

As the slope of the line in slope-intercept form is the coefficient of x, the slope of the line is -2.

Divide the difference in elevation between two points by the distance between them, multiply the result by 100, and that is the percent slope. The term "rise" refers to the elevational difference between two places. The run is the distance separating the points. The formula for percent slope is (rise / run) x 100.

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Bluff Enterprises has $1,000 face value bonds outstanding. Thesebonds pay interest semiannually, mature in 6 years, and have a 7percent coupon. The current price is quoted at 101.36. What is theyield to maturity?a. 5.97 percentb. 6.49 percentc. 6.72 percentd. 6.86 percente. 7.11percentA 6 percent $1,000 bond matures in 4 years, paysinterest semiannually, and has a yield to maturity of 6.85 percent.What is the current market price of the bond?a. $768.76b. $801.38c. $869.15d. $910.27e. $970.69is e correct?? Suppose a rabbit colonys predators are removed from its ecosystem. the colonys population will likely: report form: mixed aldol conednsations of benzaldehyde and acetone Part A Balanced Equation(s) for Main Reaction(s): mmol compound benzaldehyde MW 106.12 58.08 mg or ml 1.00ml 0.36m1 9.84 4.9 *acetone 40.00 sodium hydroxide 0.025 1000mg 43mg product A Indicate the limiting reagent with an asterisk (*). Product 110oc Observed melting point range: Literature melting point range:- C Molecular weight of product: Theoretical yield: Grams obtained: % Experimental yield: 8 126 Name: REPORT FORM: MIXED ALDOL CONDENSATIONS OF BENZALDEHYDE AND ACETONE Part B Balanced Equation(s) for Main Reaction(s): mmol compound mg or ml benzaldehyde MW 106.12 58.08 140.00 0.5ml 3.00ml acetone sodium hydroxide 230my 773mg product A Indicate the limiting reagent with an asterisk (*). Product Observed melting-point range: LOC Literature melting-point range: C Molecular weight of product: Theoretical yield: 8 Grams obtained: Experimental yield: % You are standing above the point (3, 1) on the surface z = 15 - (2x^2 + 3y^2). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector) (b) If you start to move in this direction, what is the slope of your path? What attitudes and assumptions does his target audience hold toward his subject? toward atticus himself? 5. The giant tortoise can move at speedsof up to 0. 17 mile per hour. The topspeed for a greyhound is 39. 35 milesper hour. How much greater is thegreyhound's speed than the tortoise's? WILL MARK BRAINLIEST IF CORRECT!!! 30 POINTS!!!!!Read the prompt then type your answer in the box. Think about the short story "President Cleveland, Where are you?" how does the author develop the viewpoints of Jerry and Armand? Use textual evidence to support your response to what angle does the pendulum swing on the other side? express your answer with the appropriate units. Which statement about DNA typing is NOT correct? a.DNA is in the nucleus of every human cell, so cells from skin, hair, saliva, blood, or other bodily fluids can serve as sources of DNA samples. b.A DNA sample obtained from the nuclei of human body cells contains the entire human genome. c.A single, unamplified copy of DNA is sufficient to detect a mutation. d.If testing for a specific genetic condition, it may only be necessary to examine a relatively small region of DNA. e.A small amount of sample DNA is subjected to PCR prior to DNA typing. your ceo also believes that the pricing decisions in brazil can be left to local managers. why might she be wrong? (30 points) a) According to theory, the period T of a simple pendulum is T = 2L/g, where L is the length of the pendulum. If L is measured as L = 1.40 0.01 m, what is the predicted value of T?b) Would you say that a measured value of T = 2.39 0.01 s is consistent with the theoretical prediction of part (a)? a chief disadvantage of an expatriate sales force is the high cost for a company.true or false? in preparing a series of standards for calibration of colorimeter a stock solution of 0.100 m niso4 (molar mass =154.76g/mol) solution was required . to prepare this stock solution7.74 g of NiSO4 should be added to a 500.0mL volumetric flask and the volume made up to the calibration mark with deionized water. 07.74g of NiSO4 should be added to 500.0 mL of deionized water in a volumetric flask. 15.5 g of NISO4 should be added to 500.0 mL of deionized water in a volumetric flask. 15.5 g of NiSO4 should be added to a 500.0 mL volumetric flask and the volume made up to the calibration mark with deionized water. 15.5g of NiSO4 should be added to 500.0 mL of deionized water in a beaker. let l be a linear transformation on p2, given by l(p(x)) = x2pn(x) - 2xp'(x) find the kernel and range of l PLEASE ASAP EDGE 2021 AP WOLRD HISTORYFrom 1200 to the present, religions and belief systems have shaped and been shaped by societies and states in a multitude of ways. Develop an argument that evaluates the continuities and changes in the ways that religions and belief systems have both supported and challenged societal and political standards. Be sure to address each of the following regions: Africa, the Americas, Asia, Europe, and Oceania. Can someone please send me the presentation? the following tertiary alkyl halide was heated in ethanol for several days, and the resulting mixture of products contained five different elimination products and two substitution products: a)Draw the substitution products and identify the relationship between them.b)Identify which substitution product is expected to be favored, and explain why.c)Draw all elimination products, and identify which products are stereoisomers.d)For each pair of stereoisomericalkenes,identify which stereoisomer is expected to be favored. convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and evaluate the simplest iterated integral. 4 0 16 x2 0 16 x2 y2 x2 y2 z2 dz dy dx 0 The beam is supported by the three pin-connected suspender bars, each having a diameter of 0.5 in. and made from A-36 steel. The dimensions are a = 9.5 in and b = 6.85 in.A) Determine the greatest uniform load w that can be applied to the beam without causing AB or CB to buckle. An electron (rest mass0.5MeV/c2) traveling at0.7centers a magnetic field of strength of0.02Tand moves on a circular path of radiusR. (a) What would be the value ofRaccording to classical mechanics? (b) What isRaccording to relativity? (The fact that the observed radius agrees with the relativistic answer is good evidence in favor of relativistic mechanics.) Question 14 ptsBalance this unbalanced equation by entering only whole numbers into the blank. If themolar coefficient is 1, enter "1" (do not leave it blank):C4H8 +02 CO2 +H2O