What’s the domain and range of this function?

Whats The Domain And Range Of This Function?

Answers

Answer 1

The domain and range of the given quadratic function are respectively; Domain = -3 < x < 7; Range is; 3 ≤ x ≤ ∞

What is the domain and range of the function?

The domain of a function is defined as the set of all possible input values for which the function is possible.

Meanwhile, the range is defined as the set of all possible output values for every possible input value that makes the function possible.

Now, from the graph, the range will be values on the y-axis while the domain will be values on the x-axis.

Now, from the given graph we see that the curve is approaching the lines x = -3 and x = 7. Thus, the domain of this function is;

Domain = -3 < x < 7

Meanwhile the range keeps increasing to positive infinity and as such we can say that;

Range is; 3 ≤ x ≤ ∞

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Related Questions

How many rows and columns are there in Excel 2006?

Answers

There is a limit in Microsoft Excel on the number of rows and columns an Excel file can contain. An Excel file may have upto 256 columns and 65536 rows.

Now, According to the question:

There is a limit in Microsoft Excel on the number of rows and columns an Excel file can contain. An Excel file may have upto 256 columns and 65536 rows.

Excel sheet:-

In Microsoft Excel, a sheet is often called a worksheet. A sheet is a single page that contains its own collection of cells to help you organize your data. There can be many sheets in your Excel document and you can see the sheets listed as tabs along the bottom of your document.

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What is the difference between squaring a number and finding the square root of a number?

Answers

Therefore, square are results multiplying the number by itself whereas square root component of the number.

What is  square root ?

The square root of a number or a root of an equation is the component of the number that results in the original number when multiplied by itself. Exponents are specifically squares and square roots. Consider the number 9. You can write this as or as 3 × 3.

According to the given question:

When you multiply an integer by itself, you get squares.

Alternatively, the square root of an integer is a value that, when multiplied by itself, returns the original value.

This makes both vice-versa approaches.

The square of two is four, for instance, while the square root of four is two.

Therefore , the difference between squaring a number and finding the square root of a number is square are results multiplying the number by itself whereas roots its vice versa.

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How do you work out area Grade 6?

Answers

On the basis of their sides, we may similarly determine the areas of various shapes like rectangles, parallelograms, triangles, and any polygon.

The space that the object occupies is called the area. It is the area that any shape resides in. We only take into account a square's side length when calculating its area. Since a square's area is equal to the square of each of its equal sides, it is a square.

On the basis of their sides, we may similarly determine the areas of various shapes like rectangles, parallelograms, triangles, and any polygon. Based on the radius or the separation of the surface's outer line from the axis for curved surface objects, the area of the surface is determined.

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What is slope in math?

Answers

The slope of a line is the change in the line's y coordinate from its x coordinate.

Determining a line's slope

The shift from the line's y coordinate to its x coordinate is referred to as the slope of a line. The following mathematical formula is used to express the slope of a line:

Slope: y₂-y₁/x₂-x₁

For instance using the coordinate points(0, 0) and (1, 3), respectively, into the formula to obtain:

Slope = 3-0/1-0

Streamline to have:

Slope = 1/3

Slope = 3

As a result, the slope of the line passing the coordinates is 3.

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find the length of the arc of the curve from point p to point q. y = 1 2 x2, p −7, 49 2 , q 7, 49 2

Answers

The length of the arc of the curve from point p to point q is 14.

The length of the arc is calculated by using the differentiation of the curve expression.

Here we have given that expression y = 1/2 x²

And we need to find the length of the arc from the point P to Point Q.

In order to find the length we have to extract the x values from the given point then we get,

(x1, x2) = (-7, 7)

Here we have the curve of the arc as,

=> y = 1/2 x²

Now, we have to differentiate the expression to find the solution,

=> length of arc = ∫₋₇⁷1/2 x²

=> length of arc = 1/2 ∫₋₇⁷ x²

=> length of arc = 1/2 [2x]₋₇⁷

When we apply the values on x, then we get,

=> length of arc = 1/2 [2(7) - 2(-7)]

=> length of arc = 1/2 [28]

Therefore, the length is 14.

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How do you explain greater than less than equal to?

Answers

As per the concept of numbers, the way of explaining the greater than, less than, and equal to are defined below.

The term number in math is referred to an arithmetic value used for representing the quantity and used in making calculations.

Here we have to know that the greater than sign (>) denotes that the number after the more than sign is smaller than the number before the symbol whereas less than sign (<) denotes that the number after the sign is bigger than the number before the sign.

Similarly, to this definition, the term equal defines the number as being equal to each other or it can be used to assign the value to the variable that has been placed on the left-hand side.

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Yin opened a savings account with $3500. The account
earns 8.75% simple interest annually. After how many years will the
balance of the account be $6000? Round to the nearest tenth, if
necessary.

Answers

The time required for the balance of the account to be $6000 is 19.5 years.

What is Simple interest?

The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.

Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.

As per the information in the question,

Principal amount, p = $3500

Rate, r = 8.75%

End amount = $6000

SI = (p × r × t)/t

6000 = 3500 × 8.75% × t

t = (6000 × 100)/(3500 × 8.75)

t = (600000)/(3500 × 8.75)

t = 19.5 years.

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What is the ratio in which point P 1 and 2 divides the join of a 2 and 1 and B 7 and 4?

Answers

The ratio in which P (1,2) divides AB at (2,1) and (7,4) is 1:6.

What is ratio?

Ratio is the term for the proportion between two or more things in terms of number, amount, or size.

How to calculate ratio?

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

Given,

Point P → (1, 2)

Point A → (2, 1)

Point B → (7, 4)

Let m1:m2 be the ration

The formula that is used is:

[tex]x=\frac{m1x2+m2x1}{m1+m2} ; y=\frac{m1y2+m2y1}{m1+m2}[/tex]

Now we have been given the Point P → (1, 2), hence x = 1 and y = 2

Also, (x₁, y₁) = (2, 1) and (x₂, y₂) = (7, 4)

[tex]1=\frac{7m1+2m2}{m1+m2} ; 2=\frac{4m1+m2}{m1+m2}[/tex]

m₁ + m₂ = 7m₁ + 2m₂

0=6m1-m2

m2=6m1

1/6=m1/m2

The ratio in which P divides AB is 1:6.

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anova can be used to test whether more than two population variances are different. group of answer choices true fals

Answers

To determine whether there are differences between more than two population variances, utilise anova is True

What is Anova?

A statistical technique called analysis of variance, or ANOVA, divides observed variance data into various components for use in further testing. When there are three or more data groups, a one-way ANOVA is used to find out how the dependent and independent variables are related.

Concept:

One-way ANOVAs are typically used when there are three or more categorical independent groups, although they can also be employed when there are only two groups (but an independent-samples t-test is more commonly used for two groups)

A statistical procedure called Analysis of Variance (ANOVA) is used to examine variations between the means (or averages) of several groups. It is used in a variety of situations to discover whether there are any differences between the means of various groups.

To determine how the values of two categorical factors affect the mean of a quantitative variable, a two-way ANOVA is utilised. When you wish to determine how two independent factors interact with one another to effect a dependent variable, use a two-way ANOVA.

The absence of a difference in means is always the null hypothesis in an ANOVA. The alternative or research hypothesis, which is typically expressed in words rather than mathematical symbols, asserts that the means are not all equal. The research hypothesis involves any difference in means, such as when all four means are different from one another, one mean differs from the other three, two means differ, and so on. All scenarios other than the equality of all means described in the null hypothesis are covered by the alternative hypothesis, as it was previously illustrated.

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A statistical procedure called Analysis of Variance (ANOVA) is used to examine variations between the means (or averages) of several groups. It is used in a variety of situations to discover whether there are any differences between the means of various groups.

To determine how the values of two categorical factors affect the mean of a quantitative variable, a two-way ANOVA is utilised. When you wish to determine how two independent factors interact with one another to effect a dependent variable, use a two-way ANOVA.

What are the solutions to the quadratic equation 2x² 4x 7?

Answers

x=-2+3√2/2 and x=-2-3√2/2 are solutions of the quadratic equation 2x²+4x=7.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic equation is 2x²+4x=7

Subtract 7 from both sides of the equation.

2x²+4x-7=0

Use the quadratic formula to find the solutions.

x=-b±√b²-4ac/2a

x=-4±√16-4(2)(-7)/2(2)

x=-4±√16+56/4

x=-4±√16+56/4

x=-2±3√2/2

x=-2+3√2/2 and x=-2-3√2/2

Hence, x=-2+3√2/2 and x=-2-3√2/2 are solutions of the quadratic equation 2x²+4x=7.

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What is the formula in getting possible zeros in rational root theorem?

Answers

The formula in getting possible zeros in rational root theorem is given as ± p / q.

According to rational root theorem if a polynomial expression which is written in descending order of the exponents and has integer coefficients, then any rational zero must be of the form ± p / q

Here, p is a factor of the constant term or the numerator and q is a factor of the leading coefficient or the denominator.

As the name implies, the rational root theorem is used to find the rational solutions to a polynomial equation . Polynomial roots or zeros are the solutions we get when we solve a  polynomial equation. A polynomial does not need required rational zeros only.

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What is the quotient 3x2 4x 15 )/( x 3?

Answers

Answer:

What is the quotient (3x2 + 4x - 15) ÷ (x + 3)? Summary: The quotient of (3x2 + 4x - 15) ÷ (x + 3) is 3x - 5.

Step-by-step explanation:

following this nut 10 exam, you make yourself a giant ice cream sundae. total saturated fat for this meal is 95 grams. based on the 2020 dietary guidelines, what percent of the daily value for saturated fat does this provide? divide 855 grams by 2000 grams and multiply by 100 to find the percent daily value for saturated fat from this meal, which is 43 % (round to the nearest whole number [ > 0.5

Answers

Percent of the daily value for saturated fat provided would be 48%

What is Percent Daily Value?

Daily Values are recommendations that specify the amounts of certain nutrients that the average person should obtain each day. Daily Values are only a general guide because they are calculated for the average person who consumes a total of 2,000 calories a day.

If the total saturated fat for the meal is 95 grams, this is equal to 95,000 milligrams of saturated fat.

To find the percent daily value for saturated fat from this meal, we can use the following formula:

percent daily value = (total saturated fat / recommended daily intake) * 100

= (95,000 / 2000) * 100

= 47.5

Rounded to the nearest whole number, the percent daily value for saturated fat from this meal is approximately 48%

This means that this meal provides approximately 48% of the recommended daily intake of saturated fat.

Hence, Percent of the daily value for saturated fat provided would be 48%

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What does ∆ mean in calculus?

Answers

Therefore, the  Uppercase delta (Δ) in calculus denotes the change of variable.

What is calculus?

Calculus is a discipline of mathematics that, in its most basic form, deals with rate of change. As an illustration, suppose you wanted to figure out how fast an automobile would slow down as it approached a stop sign. You may determine that change using calculus. Yes, calculus incorporates movement into math.

Here,

Given: Uppercase delta (Δ)

In math, the uppercase letter delta () typically denotes "change" or "the change."

Consider a scenario where the variable x represents an object's motion.

Consequently, "Δx" denotes "the change in movement." This mathematical interpretation of delta is used by scientists in a variety of scientific fields.

Therefore, the  Uppercase delta (Δ) in calculus denotes the change of variable.

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it took oliva 2 hours to drive 240 miles. at this rate how long does it take to drive 80 miles

Answers

Answer:

It takes 1 hour to drive 80mph at the rate Oliva is going

Step-by-step explanation:

Find the value of x and y in the image below!

Answers

Applying the properties of a parallelogram, the values of x and y are:

y = 81°

What are some Properties of a Parallelogram?Opposite angles have equal angle measures.Adjacent angles are supplementary.

The shape given is a parallelogram, therefore:

3x = 2x + 33 [opposite angles]

3x - 2x = 33

x = 33

3x + y = 180 [adjacent angles]

Plug in the value of x

3(33) + y = 180

99 + y = 180

y = 180 - 99

y = 81°

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Graph ​g(x)=2x2−4x−16​. find the parabola i have the vertex its (1, - 18) i think help i need too ace this

Answers

A graph of the quadratic function g(x) = 2x² - 4x - 16 which shows a parabola with the vertex (1, -18) is shown in the image attached below.

How to determine the equation of a parabola?

Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:

x = a(y - k)² + h or y = a(x - h)² + k.

Where:

h and k are the vertex.x and y represents the coordinates.a represents a point.

What are quadratic functions?

A quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).

In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.

In this scenario, we would use an online graphing calculator to plot the graph of the given quadratic function g(x) = 2x² - 4x - 16 and we can observe that it shows a parabola.

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How do you solve a binomial expression?

Answers

To solve a binomial expression, use the FOIL (First, Outer, Inner, Last) method to multiply the two terms together. Then use the distributive property to simplify the expression and combine like terms.

1.Identify the two terms of the binomial expression and write them in the correct order.

2. Use the FOIL method to multiply the two terms together:

the first term of each binomial is multiplied together first.

Outer: Divide the second term of the second binomial by the first term of the first binomial.

Multiplying the first term of the second binomial by the second term of the first binomial yields the inner product.

Lastly, combine the second terms of each binomial.

3. To make the expression simpler, use the distributive property.

4. Combine like terms, if applicable.

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When 122 is decreased by five times a number, the result is equal to the number increased by 20. What is the number?.

Answers

When 122 is decreased by five times a number, the result is equal to the number increased by 20 so the number is 17 .

Given :

Number :

A number is an arithmetic value used for representing the quantity and used in making calculations.

Let x be the number .

( 122- 5x ) = ( x + 20 )

122 - 5x = x + 20

122 - 6x = 20

122 - 20 = 6x

102 = 6x

divide by 6 on both sides

6x / 6 = 102 / 6

x = 102 / 6

x = 17

Hence the number is 17

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Greg earned $32 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.

Answers

Answer: x = 32/2

Step-by-step explanation:

Look at this system of equations.
-4x + 3y = 8
2x + 5y = -3
What value of b will make this system have the same solution?
by = 2
2x + 5y = -3
b =

Answers

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

What is the best math equation?Euler's identity is considered to be "the finest of equations" in maths classes because it describes an unlikely combination of five mathematical constants. Euler's equation (published by Leonhard Euler in 1755) applies in the case of a perfect fluid.The basic operations involved in arithmetic are addition, subtraction, multiplication, and division. Arithmetic mean (average) = Sum of values/Number of values.In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.The forms commonly encountered are empirical, molecular, structural, and projection formulas. An empirical formula consists of symbols representing elements in a compound, such as Na for sodium and Cl for chlorine, and subscripts indicating the relative number of atoms of each constituent element.

A General Rule for Solving Equations

Simplify each side of the equation by removing parentheses and combining like terms.Use addition or subtraction to isolate the variable term on one side of the equation.Use multiplication or division to solve for the variable.

x= 9, y= 15

-4x +3y= 8 -----(1)

2x +5y=-3-----(2)

(1) ×2:

-8x +6y= 16 -----(3)

(3) -(2):

-4x +6y -(-8x +6y)= 16 -1

-4x +6y +4x -5y= 15

y= 15

Substitute y= 15 into (1):

-4x +3(15)= 8

-4x+45=8

4x+45-8

4x=37

x=37÷4

x=9

b = 2(9) + 5(15)  + 3

b = 13 + 75 + 3 = 91

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What is the nature of roots of 2x² 3x 5 0?

Answers

The nature of the roots of 2x² 3x 5 0 are imaginary, as it is not possible to solve for real numbers.

To solve this equation, we first factor out the coefficients (2 and 5). Factoring out 2 gives us x² + 1.5x + 5 = 0. After that, we solve for x using the quadratic formula:

x

= -1.5 ± √(-1.5² - 4(1)(5)) / 2(1). This is reduced to x = -1.5 9.5 / 2, an imaginary number that cannot be solved using real values. This indicates that the equation's roots are fictitious.

x

= -1.5 ± √(-1.5² - 4(1)(5)) / 2(1)

x = -1.5 ± √9.5 / 2

x = -1.5 ± √(9.5)i / 2

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Sienna has 5 3/4 pounds of grapes. She eats 1/8 pound and gives 2 1/2 pounds to her brother.
How many pounds of grapes does Sienna have left?

Answers

Answer:

3 1/8 lbs left

Step-by-step explanation:

[tex]5\frac{3}{4} -\frac{1}{8} -2\frac{1}{2}[/tex]

[tex]\frac{23}{4} -\frac{1}{8} -\frac{5}{2}[/tex]

[tex]\frac{46}{8} -\frac{1}{8} -\frac{20}{8}[/tex]

[tex]\frac{46-1-20}{8}[/tex]

[tex]\frac{25}{8}[/tex] lbs

i need help ive been stuck on this forever and i just honestly need help.

Answers

The measure of the length AC is 60.

Z = 60

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

BY = YC = 50/2 = 25

BX = XA = 42/2 = 21

Now,

XY is parallel to AC.

BX/XY = BA/AC

21/30 = 42/AC

1/30 = 2/AC

AC = 60

Z = 60

Thus,

The length of the AC is 60.

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Examine the system of equations.
6x + y = −30,
36x + 6y = 24
Which statement is true about the system of equations?
After solving this system, you get a true statement.
This system has one solution.
If this system were graphed, the lines would be parallel.
The equations in this system have the same y-intercept.

Answers

Answer:

C

Step-by-step explanation:

6x + y = - 30

36/6 x + 6/6 y = 24/6

6x + y = -30

6x + y = 4

If this system were graphed, the lines would be parallel, because they have the same slope

What is a horizontal asymptote example?

Answers

An example of a horizontal asymptote is when the input values of a function f(x) is significantly large or significantly small.

What is an asymptote?

In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x which makes its denominator equal to zero (0).

What is a horizontal asymptote?

In Mathematics, a horizontal asymptote can be defined as a horizontal line (y = b) where the graph of a function approaches the line as the input values approach negative infinity (-∞) to positive infinity (∞).

For instance, we can determine the horizontal asymptote of this function as follows;

y = 3/x

yx = 3

x = 3/y

x = 3/0

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What is the slope of the line 4y 3x 1?

Answers

The slope of the line 4y - 3x = 1 is 3/4.

Define slope.

A line's slope is the ratio of how much y grows as x grows by a certain amount. You may determine a line's slope by looking at how steep it is or how much y grows as x grows. Anywhere along the line, the slope is uniform. In mathematics, measuring steepness is a common goal. It is obvious that slopes B and C are steeper than slope A. They both stand seven units tall, although slope A is only four. Therefore, it would seem that steepness and height are related.

Given

Equation

4y - 3x = 1

3x added to both sides,

4y = 1 + 3x

Dividing by 4,

y = 3/4x + 1/4

Using slope intercept form,

y = mx + b

m = slope

m = 3/4

The slope of the line 4y - 3x = 1 is 3/4.

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Help FAST PLEASE......................!!!!!!!!!!!!!!!11

Answers

The lines intersect to form a rectangular prism, therefore the plane that is parallel to EFG is BCD. option D

How to find similar objects?

We should know that in plane geometry, parallel lines do not intersect and intersecting lines form angles at the points of intersection.

To determine the similarity of the lines, Let us consider the following lines

From the rectangular prism

EF//AB

BC//FG

GH//CD

AD//EH

Each of the lines lies on opposite side of the rectangular prism.

Also, quadrilateral ABCD ≡ Quadrilateral EFGH

In conclusion, the plane that is parallel to EFG is BCD.

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What are the types of continuity of a function?

Answers

The types of continuity of a function are: pointwise continuity, uniform continuity, absolute continuity, and uniform convergence.

The types of continuity of a function are: pointwise continuity, uniform continuity, absolute continuity, and uniform convergence. Pointwise continuity means that the function is continuous at each point in its domain. Uniform continuity means that the function is continuous over some larger region. Absolute continuity means that the function is continuous over its entire domain. Finally, uniform convergence means that the function converges to a limit value over a range of values. Pointwise continuity is the weakest form of continuity and uniform convergence is the strongest. All of these types of continuity are important for understanding the behavior of functions and their properties.

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How do you do a 3 1 slope?

Answers

3 to 1 slope means: there are three horizontal units for every one vertical unit.

How do one find the slope of a graph?

The slope is computed mathematically as "rise over run" (change in y divided by change in x).

In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites.

That is to say,

Determine the coordinates of two locations along the line that one choose.Evaluate the differences in these two positions' y-coordinates (rise).Evaluate the differences in these two locations' x-coordinates (run).In order to calculate the difference in y-coordinates (rise/run or slope), divide it by the difference in x-coordinates.

"Ratios like 3:1 are used to represent slopes. This indicates that there is a 1 unit (foot or meter) vertical shift, either up or down, for every 3 units (feet or meters) of horizontal distance."

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The complete question is as follows:

How do you do a 3 to 1 slope?

Other Questions
Depreciation of the dollar will: Decrease the price of both imports to and exports from theUnited States. Increase the price of both imports to and exports from theUnited States. Increase the price of the goods imported into the United Statesand decrease the price to foreigners of U.S. exports. Decrease the price of imports into the United States andincrease the prices to foreigners of U.S. exports. 2) Which of the following occurs when the FEDundertakes policies which increase interest rates in the UnitedStates? The demand for dollars increases and then the supply of dollarsdecreases. Both the supply and demand for dollars decrease. Both the supply and demand for dollars increase. The supply of dollars increases and the demand for dollarsdecreases. 3) Suppose that monetary policy in the UnitedStates leads to an increase in interest rates relative to those inJapan. Which of the following will occur in the capitalaccount? The dollar will depreciate relative to the yen. The dollar will appreciate relative to the yen. The supply of dollars will increase. The demand for yen will increase. 4) Restrictive monetary policy by the Fedshould lead to: An increase in investment and an increase in aggregatedemand. A decrease in investment and an increase in aggregatedemand. A decrease in investment and a decrease in aggregatedemand. Leave investment unchanged but decrease aggregate demand. 5) An expansionary monetary policy by the Fedwould tend to: Lower the U.S. inflation rate, make exports more expensive,make imports cheaper, and lower the value of the dollar. Lower the U.S. inflation rate, make exports cheaper, makeimports more expensive, and raise the value of the dollar. Raise the U.S. inflation rate, make exports cheaper, makeimports more expensive, and raise the value of the dollar. Raise the U.S. inflation rate, make exports more expensive,make imports cheaper, and lower the value of the dollar. 6) An expansionary monetary policy by the Fedwould be expected to: Raise domestic income, reduce imports, and increase the currentaccount trade deficit. Raise income, raise imports, and increase the current accounttrade deficit. Reduce income, reduce imports, and reduce the tradedeficit. Reduce income, raise imports, and reduce the tradedeficit. 7) If the dollar is depreciating more thandesired, an appropriate policy by the Federal Reserve Board tosupport the value of the dollar would be: A tax cut. An increase in U.S. interest rates. An expansionary monetary policy. Printing money. Do the one you would like please show work What are 3 examples that carbon can be found in? How did the American Dream fail in the Great Gatsby? Gabriella needs 120120 meters of fence to surround a rectangular garden. The length of the garden is three times its width, ww. How wide is the fence?. Monique and hassan purchase an over-the-counter test kit to determine when she is ovulating. this is accomplished by monique measuring ____ with the test kit. The author claims that King's "I Have a Dream" speech Chemists can identify the composition of some unknown salts by conducting a flame test. When potassium salts are heated in a flame, a purple color is observed.This is due to the movement of electrons between energy levels. What is the electron configuration of a potassium atom at ground state?answer choices1s2; 2s2; 2p6; 3s2; 3p6; 4d11s2; 2s2; 2p6; 3s2;3p6; 3d11s2; 2s2; 2d6; 3s2; 3d6; 4s11s2; 2s2; 2p6; 3s2; 3p6; 4s1 What is the purpose of precedent? Solve the equation 4(2x + 1) = 6x 12. (1 point) a. x equals negative thirteen halves b. x = 8 c. x = 8 d. x equals eleven halves PLEASE HELP!!Which statement best explains whether JKL is congruent to MNP?JKL is congruent to MNP because JKL can be mapped to MNP by a reflection across the y-axis.JKL is congruent to MNP because JKL can be mapped to MNP by a reflection across the x-axis followed by a rotation of 180 about the origin.JKL is congruent to MNP because JKL can be mapped to MNP by a rotation of 180 about the origin followed by a translation 2 units up.JKL is not congruent to MNP because there is no sequence of rigid motions that maps JKL to MNP. you're trying to diagnose why a system is not connecting to the internet. you've been able to find out that your system's ip address is 169.254.0.0. which of the following statements correctly suggests the next best step? Hummingbird feeders are filled with hummingbird nectar. Hummingbird nectar is made using a ratio of 1 part sugar to 3 parts water. How much sugar, in ounces, is needed to make 28 ounces of hummingbird nectar? Show your work in the provided space. How did President Wilson get the public to support the war? The genetic material of an organism has developed an error in replication, and this error is now part of the genotype in itsgamete cells. What could happen to the offspring of this organism?A. Its offspring will revert to the genetic material of an evolutionary ancestor.B. Its offspring will revert to the original genetic material from the previous generation.C. Its offspring will inherit a completely different set of genetic material each generation.D. Its offspring will inherit the error in replication if the error does not prevent reproduction. what is 18+15 writen as an expression in 2013, a social media company paid $800,000 to settle charges with the federal trade commission (ftc). the company had an application that allowed children to create journals and share those journals online. children could also post photos and share location information. the company collected the birth dates of 3,000 children before getting parental permission. the ftc alleged that the company violated which of the following? Please help!I own a SanDisk flash drive, and I want to download pictures on it so I can plug into my tv and use them for art references, but when I put the flash drive into my tv, and when I clicked on an image, it say that, "the files are unsupported."Any idea what that means, and how I can fix it?Thanks! The amount of work done on an object is the force applied to the object times the distance the object is moved while the force is applied or, more succinctly, work = (force)(distance). We will use the International System of Units: Force is measured in Newtons, N, and distance is measured in meters, m. Weight is the gravitational force applied to the object and cable, therefore, weight = force. Cable (3 N per m) 40 - X Object (1500 N) Ax How much work is done lifting a 1500 N object from the ground to the top of a 40 m building if the cable weighs 3 N per m? Here the 1500 N object is constant, but as you retract the cable, the overall weight (force) decreases. The diagram to the right can help you derive the integral to calculate the work done from the ground to the top of the buildingX1=40X2=0 making deep neural networks right for the right scientific reasons by interacting with their explanations