a. Use exponential regression to model C as an exponential function of t.b. According to your exponential model, by what percentage does the value of the 1877 cent increase from year to year?

The correct option is b which tells that an optimal solution to a linear programming problem must lie at the intersection of at least two constraints.

Linear programming is an optimization technique that is fine for the purpose of getting the best solution such as maximizing profit or certain 4th-era quantities.

When there are just two choice variables, the graphic method of solving a linear programming issue can be employed.

It is fine by modelling real-life problems into mathematical models that have linear relationships or constraints such as in the form of objective functions.

In linear programming, an objective function defines the formula for quantity optimization and the goal from this is to determine variable values that maximize or minimize the objective function depending on the problem robbery solved.

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The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is the polynomial's final behavior will be "down" on the left and "up" on the right.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. Expressions that contain variables of various intensities, non-zero coefficients, positive exponents (of variables), and constants are known as polynomial functions. For instance, the polynomial in "b" of degree 2 is f(b) = 4b² - 6.

Given,

The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is:

This odd-degree polynomial's end behavior will resemble that of a positive cubic because its leading coefficient is positive. As a result, the polynomial's final behavior will be "down" on the left and "up" on the right.

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The integral as an equivalent integral are as follows.

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

What is an integral ?

Mathematicians define an integral as either a number equal to the area under the graph of a function for a certain interval or as a new function whose derivative is the original function (indefinite integral).

We write the equivalent integrals for given integral,

we get:

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

We changed places of integration, and changed boundaries for certain integrals.

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question:

Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to 36 minus y dz dy dx. Rewrite the integral as an equivalent integral in the following orders. a. dy dz dx by. dy dx dz c. dx dy dz d. dx dz dy e. dz dx dy

There are 35 students that have only dogs

What is subset?

If every element of set A is also an element of set B, then set B is a superset of set A and set A is a subset of set B. A and B could be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of another.

Total students =350

Cats only student = 175

Having both pets student= 140

Students having dog= 350- 175 = 175

Dogs only student = 175 - 140 = 35

So, There are 35 students which have dog only.

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The ordered pair that makes both inequalities true is (-2,2)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

All you have to do is substitute each choice into the equation.

(X,Y) is the format, now plug the numbers that's in that order into both the equations to see if it's true

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Question:

Which ordered pair makes both inequalities true? y < –x + 1 and y > x?

A.-3,5

B.-2,2

C.-1,-3

D.0,-1

1.  The electrons are not in a cyclic conjugated system.

The number  of electrons in a system of cyclic conjugation is 6.

The compound is a.

2. Electron is in cyclic conjugated system, and have 8 electrons.

The compound is aa.

A stable cyclic conjugated system is created by omitting one saturated atom in a system known as homoaromaticity. Due to the orbitals' lower overlap, it is generally predicted that the stabilisation that results will be lessened.

A conjugated system, which generally lowers the overall energy of the molecule and promotes stability, is a system of connected p-orbitals with delocalized electrons in a molecule. Typically, it is seen to have alternating single and multiple bonds. The system may contain lone pairs, radicals, or carbonium ions and it may be cyclic, acyclic, linear, or mixed.

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According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal  to the other triangle.

ASA (angle, side, angle) ASA, which translates for "angle, side, angle," denotes the existence of two triangles whose included side and two known angles are equal.

Thus, when two angles with the included side with one triangle are equal to two angles the included side of another triangle, two triangles are said to be congruent.

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Answer:

-19y+20y=-6 and y=-6

Step-by-step explanation:

"and" means plus so its would be -19y+20y

"is"=equal sign so -19y+20y=-6

-19y+20y=y

y=-6

The greatest possible area for the garden is  135200 ft^2 with a shorter side at 260 ft and a longer side at 520 ft

Let L be the length and W be the width of the garden.

So,  L + 2W = 1040

Area = A

= LW

=(1040 - 2W)W

= 1040W - 2W^2

To maximize the area:

take the derivative of A and set = 0

That is:

A' = 1040 - 4W = 0

4W = 1040

W = 1040/4

= 260

And L = 1040 - 2W

= 1040 - 520

= 520

So,

shorter side =260 ft

longer side =520 ft

Computing the greatest possible are using the length of the shorter and the longer side we get:

greatest possible area: =LW=(260)(520)=135200 ft2

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The discounted price of the jeans on Valentines Day at the departmental store is $780.

Original price = $ 1300

Discount = 40%

Discount amount = 40% of 1300 = 520

Discounted sell price = 1300-520 = $780

The amount deducted from the list or marked price in order to provide a product for less is referred to as a "discount." Discounts can be expressed as percentages or as monetary amounts.

The discount formula accounts for the variation between the stated price, marked price, and selling price. Discounts are price reductions that a vendor makes on a product in an effort to boost sales of other products.

The discount formula helps determine how much money a buyer must hand over to the seller. The discount formula can also be calculated in percentages. Always factor in the selling price when calculating the reduction from the asking price.

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For the given condition bad check submission and check verification system from a random sample of checks , the probability value is

0.0618 > 0.01 which proves that it does not provide sufficient evidence of the effective check verification system.

As given in the question,

Given 5% of all the submitted checks were bad.

Null hypothesis H₀ : p = 0.05

For effective check verification system

Hₐ : p < 0.05

Statistic test :

z = ( x - μ ) / (σ /√n)

Here , x = 45 / 1124

             = 0.04

Data collected from the random sample are:

μ = 0.05

σ = √ 0.05 × 0.95

n = 1124

Substitute all the values in the formula we get,

z = ( 0.04 - 0.05 ) / ( √ 0.05 × 0.95 / √1124 )

  = - 0.01 / 0.0065

  = - 1.54

Probability for z = - 1.54 is equal to 0.0618 ( from table )

Now 0.0618 > 0.01

Sufficient evidence does not exist for the check verification system.

Therefore,  the probability value is 0.0618 > 0.01  which proves that it does not provide sufficient evidence of the effective check verification system from a random sample of checks.

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If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

How do you know if a number has no solution?

Normally when solving problems you end up with something at the end saying, x= [some number]. When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.

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To find the measure of side of triangle using the law of cosines , we use  a² = b² + c² − 2bc·cosA.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that:

a² = b² + c² − 2bc·cosA.

The law of cosine is also known as the cosine rule. This law is useful to find the missing information in any triangle.

To find the measure of the side of triangle using the law of cosines :

Let  a and b be the length of two sides of triangle and the angle between them measuring ∅ . So , to find the third side

Using the law of cosines formula,

a² = b² + c² − 2bc·cosA.

=> a² = b² + c² − 2bc·cos ∅

Replace all the values ,You will able to find third side .

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The rhomboid EFGH is the consequence of four rigid transformations: reflecting across the x-axis, translating 4 units to the left, translating 2 units down and dilating with a scale factor of 0.5 and center at (0, 0). (Right choice: A)

In this problem we must determine the sequence of rigid transformations used to transform rhomboid ABCD into rhomboid EFGH. Rigid transformations are transformations that are applied on geometric loci such that its Euclidean distance is conserved. The most common rigid transformations are listed below:

After a quick inspection on the figure, we find a sequence formed by four rigid transformations:

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The length of BC is 10cm, in the given triangle.

What is are of the triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

BR = 3 cm, let's say AR = 4 cm, and AC = 11 cm.

Since tangents to an exterior point are always equal, we can conclude that BR = BP = 3 cm.

4 cm if AQ = AR

QC=AC-AQ=11 – 4 = 7 cm

Q = P = 7 cm

It follows that BC = BP+PC = 3 + 7 = 10 cm.

BC, therefore, has a length of 10 cm.

Therefore, BC is 10 cm long.

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The number of students in 2001 is 150.4 thousand and the number of students in 2018 is 467.5 thousand

From the question, we have the following function that can be used in our computation:

y = 123.1(1.069)ˣ

Such that

x = Number of years after 1998

In the year 2001, the value of x is calculated as

x = Current year - 1998

So, we have

x = 2001 - 1998

Evaluate

x = 3

Substitute x = 3 in the equation y = 123.1(1.069)ˣ

y = 123.1(1.069)³

Evaluate

y = 150.4

In the year 2018, the value of x is calculated as

x = Current year - 1998

So, we have

x = 2018 - 1998

Evaluate

x = 20

Substitute x = 20 in the equation y = 123.1(1.069)ˣ

y = 123.1(1.069)²⁰

Evaluate

y = 467.5

Hence, the number of students in 2018 is 467.5

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Simplifying 2(3x+4)-3(x-2) will give us 3x+14

Simplification simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

from the question,

Expanding the expression  2(3x+4)-3(x-2), will give us

=6x+8-3x+6

collecting like terms

=6x+2

Hence, 6x+2 is the result of simplifying and expanding  2(3x+4)-3(x-2)

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The federal government only has powers written in the constitution and the rest or for the states

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

If each input value has one and only one output value, then a relation is by definition a function.

A function must have both an independent and at least one dependent variable. For instance, assuming a function:

"Y" stands for the dependent variable, and "x" stands for the independent variable.

The set of potential input values is known as the function's domain, while the set of potential output values is known as the range.

The slope of vertical lines is unknown. A vertical line is not an illustration of a functional connection because "x" is constant.

For horizontal lines, any x-value results in the same y-value. They are referred to as "Constant functions."

Accordingly, the following claims are accurate:

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The method to find the factors of 54 is shown below .

The Factor of a number is a number that given number without leaving any remainder .

For Example , 2 is a factor of 4 , because on dividing 4 by 2 , there is no remainder .

In the question ,

it is given that the number is 54 ,

first we divide the given by natural numbers ,

and the number that does not leave any remainder , will be the factors .

So , 54 ÷ 1 , it completely divides , So , 1 is a factor .

54 ÷ 2 = 27 , it completely divides , So , 2 is a factor .

54 ÷ 3 = 18 , it completely divides , So , 3 is a factor .

54 ÷ 6 = 9 , it completely divides , So , 6 is a factor .

54 ÷ 9 = 6 , it completely divides , So , 9 is a factor .

54 ÷ 18 = 3 , it completely divides , So , 18 is a factor .

54 ÷ 27 = 2 , it completely divides , So , 27 is a factor .

54 ÷ 54 = 1 , it completely divides , So , 1 is a factor .

So , the factors of 54 are 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 .

Therefore , the Factors of 54 are 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 .

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Convenience sampling is the least likely to produce a representative sample of the students.

Using the convenience sampling technique, individuals are chosen based on their accessibility and availability. This kind of sampling is frequently employed in studies when the objective is to swiftly collect data from a sample group rather than to acquire a representative sample of the population. If a person is willing to engage in the study  to the researcher, they are chosen for convenience sampling. The primary advantage of this strategy is that it is very simple and quick to apply; however, the primary downside is that the sample may not be representative of the population. This can result in skewed or false findings.

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A root of a transformed equation that is not the root of the original equation because it was excluded from the original equation's domain is known as an extraneous solution.

What are extraneous solutions?

A "false" solution to an equation is known as an extraneous solution. Even if we appeared to follow sound procedures when solving the equation, an extraneous solution did not fulfill the original equation.

So,

When we solve an equation, an extraneous solution is a result that does not fulfill the equation. As an illustration, if we square both sides of the equation x = -1, we obtain the value x = 1, which does not satisfy the original equation, indicating that x = 1 is an extraneous solution.

when we wanted to solve the equation √x = -1.  After squaring both sides, we get a value of x = 1.

When we substitute x = 1 into the original equation, we get:

x = -1  [original equation]

√1 = -1  [substitute x = 1]

1 = -1  [this is not true]

Hence,

This equation is called an extraneous solution.

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Answer:

5

Step-by-step explanation:

To find the 10% of 50 we need to first divide 50 with 100 the multiply it by 10:

50 ÷ 100 × 10 = 5

This formula can be used for most of the percentage questions.

Answer:

5

Step-by-step explanation:

The correct equivalent expression is 6x - 24.

Calculating the equivalent expression in this question is a one step process and requires multiplication. We will simply multiply the values in bracket with number outside the bracket. In the process, ensure copying the correct sign while writing the result.

Rewriting the expression 6(x - 4)

Equivalent expression = 6×x - 6×4

Performing multiplication on Right Hand Side of the equation

Equivalent expression = 6x - 24

Thus, the desired equivalent expression is 6x - 24.

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The complete question is -

Which expression is equivalent to 6(x-4)? 6x + 4 6x - 4 0 6x-24 0 46x + 24

The year in which only 38,000 items of clothing will be donated to the homeless shelters in new york city. is 2020, using the concept of linear equation.

The above problem is related to a linear equation, A linear equation is a condition in which the highest power of the variable is always 1. It is additionally known as a one-degree equation. The standard form of a linear condition in one variable is of the form Ax + B =0 .from the given graph we can  come  up with the equation which bests fits for x to be the number of the year from 1992 and y  to be the number of clothes donated in thousands, which is  y=-0.375x+48.5

now for the given situation:

-0.375x+48.5 = 38

=>-0.375x= 38-48.5

=-0.375x = -10.5

=>x = -10.5/ 0.375 = 28

so it is 2020

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the complete question attached herewith.

190 cm² is the area of the trapezium tile

The area (A) of a trapezium  can be determined using the formula:

A = 1/2( a+b)h

Where

a and b  are the bases of trapezium, and,

h is the height (the perpendicular distance between a and b)

Given: a = 12 cm, b = 26 cm and h = 10 cm

A =  1/2 (a+b) h

A = 1/2(12+ 26)10

A = 1/2(38)10

A = 5 × 38 = 190 cm²

Therefore, the area of the tile is 190 cm²

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Answer:117,649

Step-by-step explanation:

Answer:

b=14

Step-by-step explanation:

slope intercept form is y=mx+b

So we fill in the coordinates and what we already know to find b

9=-5(1)+b

9=-5+b

+5 +5

14=b

Hopes this helps please mark brainliest

Answer:

[tex]y=-\frac{1}{4}x-6[/tex]

Or

y= -0.25x-6

Step-by-step explanation:

slope intercept form y=mx+b

m is slope and b is y intercept

We know y intercept is -6

To find slope we do y2-y1/x2-x1

(0,-6) and (4,-7) are the points we’ll use

-7-(-6)/4-(0)

-1/4

y= -1/4x-6

Hopes this helps please mark brainliest

Answer:

y= -1/4x + -6

Step-by-step explanation:

The number at the end (-6) is your Y intercept. You can find this by looking at the number that the blue line touches on the up and down graph line.

The middle number in your equation is the slope. You can find this by looking for two points where your blue line crosses the corner of the little boxes. Then you count how many boxes it takes to get from one point to another. Your slope is negative (because the left side is higher than the right) once you count between your points, put the rise number (up and down) over the run number (left to right). Here it would be -1/4

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:) pls lmk if u have any questions I'm not great at explaining

Answer:

the degree of f(x) is at least 4

Step-by-step explanation: