The lengths of the four sides of a quadrilateral (in meters) are consecutive integers. If the perimeter is 50 meters, find the value of the shortest of the four side lengths.

(also, what do those numbers mean that are next to the subject when i'm asking a question?)

The inequality which can be used to determine c will be " 6000 + 80c ≤ 25000".

Given values are:

The Crates' weight, is 80kg

The greatest weight that can be loaded into the container is 24500 kilograms

Other shipments weighing 6000 kilograms have already been loaded into the container

Let,

The Greatest number of 80kg crates will be "c".

Now,

As we know the formula,

→ By substituting the values, we get

→   6000 + 80 x c ≤ 25000

→   6000 + 80c ≤ 25000      

Thus the inequality which can be used to determine c will be " 6000 + 80c ≤ 25000       "..

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Answer:

Step-by-step explanation:

what about this question do you find difficult ?

point P1 (3,-2)  in the form (x1,y1)

slope = m = 4

y - y1 = m(x -x1) ( point-slope formula)

y - (-2) = 4(x-3)

y + 2 = 4(x-3)

The deferred tax liability given the following items incurred in 2020 by company b. Bonuses are tax deductible only in the year in which they are paid, is 372.

In the give question, we have to calculate the deferred tax liability given the following items incurred in 2020 by company b.

Bonuses are tax deductible only in the year in which they are paid.

From the given question;

Accounting Income                   = 86000

Add Depreciation expence       = 6500

Less Tax Depreciation              = 4000

Less 2019 Bonus Paid in 2020 = 2630

Add 2020 accured Bonus         = 3500

Total Taxable Income                = 84670

Accounting income is more that the taxable income. Hence defffered tax liability will arise on the temporary taxable difference.

Temporary Taxable Difference = 86000-84670 = 1330

So Deffered Tax Liability = 1330*28% = 372

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$1417 can be deducted as student loan interest.

What is loan interest?

The interest on student loan is deductible upto $2500.

This amount starts reducing once the MAGI reaches the Phase out limit.

The phase out starts at $140000 and ends at $170000

Maximum deduction is $2500 or actual whichever is lower,

The deduction of $2500 will reduce here by

2500 * (MAGI-phaseout limit)/(phaseout end- phaseout beginning)

2500 * (153000-140000)/(170000-140000)

=2500*13000/30000

=1083.33

deduction = 2500-1083.33

=$1417

Hence, $1417 can be deducted as student loan interest.

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1. C. cylindrical coordinates 2 A. spherical coordinates 3. A. spherical coordinates 4. D. Cartesian coordinates 5  B. polar coordinates

USE THE BOUNDARY INTERVALS TO IDENTIFY

1. ∭E dV where E is:  

x^2 + y^2 + z^2<= 4, x>= 0, y>= 0, z>= 0  -- This is A CYLINDRICAL COORDINATES SINCE x>= 0, y>= 0, z>= 0

2. ∭E z^2 dV where E is:  

-2 <= z <= 2,1 <= x^ 2 + y^2 <= 2 This is A SPHERICAL COORDINATES

3. ∭E z dV where E is:

1 <= x <= 2, 3<= y <= 4,5 <= z <= 6 -- This is A SPHERICAL COORDINATES

4. ∫10∫y^20 1/x dx  ---- This is A CARTESIAN COORDINATES

5. ∬D 1/x^2 + y^2 dA where D is: x^2 + y^2 <=4  This is A POLAR COORDINATES

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The triengle ABC and XZY are proved to be congruent by SAS.

Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.

By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)

Here in he given triangle,

BC=YZ

AC=XZ

∠ACB=∠XZY

By SAS ΔABC≅ΔXYZ

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Answer:

Step-by-step explanation:

I'm pretty sure its the number 4! That's where the angle is!

Answer:

4

Step-by-step explanation:

because as you can see in the picture

I hope this helps you!

The equation of a line is typically written as y = MX + b where m is the slope and b is the y-intercepts.

First of all, remember what the equation of a line is:

y = MX + b

Where:

All you really have to do here is

replace m with 0, which is the slope you gave, and

replace b with 0, the y-intercept you gave,

in the equation y = MX + b.

If a point crosses the y-axis, then its miles are referred to as the y-intercept. The means of intercept of a line is the thing at which it intersects both the x-axis and y-axis.

in case you examine the graph, you may see that the factor in which Stealth is 0 and choice is 5 hits proper on the critical, vertical line - the y-axis. for the reason that this factor touches, or intercepts, the y-axis, its miles known as the y-intercept.

The x-intercept is in which a line crosses the x-axis, and the y-intercept is the thing in which the road crosses the y-axis.

y = MX + b is the slope-intercept shape of the equation of a straightaway line. inside the equation y = MX + b, m is the slope of the street, and b is the intercept. x and y represent the gap of the street from the x-axis and y-axis, respectively. The value of b is the same as y whilst x = zero, and m shows how steep the street is.

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The graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x which will be the required transformation.

Taking into account that f(x) = x becomes f(x) = x+11

This shows a horizontal displacement of x of 11 units to the left.

This is true since the original graph's origin is the x intercept. for a new purpose

x's intercept is -11.

The option it contains is the right one.

11 units to the left, I shifted.

x is taken away from by a negative -11.

Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry. The majority of proofs in geometry are built upon object transformations. Any image in a coordinate plane can be altered using transformations.

Disclaimer : the complete question is :

How will the input of f(x + 11) affect the graph of f(x) = x? Explain.

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The reflex angle CBD is measured at 70°, while the angle ABC is measured at 110°.

Describe an angle.

Angle is the void between two surfaces or lines that meet. The angle is also expressed in degrees. The angle is 360 degrees for a full rotation.

Linear angle: Two angles are considered linear if their sum is 180 degrees.

The angle ABC will be measured as follows:

∠ABC = 110°

Angles ABC and CDB are examples of linear angles. Next, we have

ABC + CDB equals 180°

110° + ∠CBD = 180°

∠CBD = 70°

Therefore, The reflex angle CBD is measured at 70°, while the angle ABC is measured at 110°.

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The probability that one of the scores in the sample is less than 1585 is 4.9%

Given that,

Given that mean u = 1585

standard deviation σ = 80

sample size n = 33

Probability means is the ability to happen. The subject of this area of mathematics is the occurrence of random events.The value is expressed in the range of 0 to 1. Probability has been brought to mathematics to predict the likelihood of events. Probability is essentially defined as the degree to which something is likely to occur.

P(x<1585) = P(X-u/σ < 1585-1595/80)

                 = P (X-u/σ  < -0.125)

P(x<1585) = 0.45026

P(x>1585) = 1 - P(x<1585) = 0.54974

P(1585<x<1595) = 0.5 - P(x<1585) = 0.049738

So, The probability that one of the scores in the sample is less than 1585 is 4.9%

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The rational numbers are closed under addition. The answer is True.

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

Consider two rational numbers a/b and c/d.

The addition of the two numbers is:

a/b + c/d

= (ad + bc)/bd

Now, (ad +bc) and bd are again an integer, therefore, let p =  (ad +bc) and q = bd, then

(ad + bc)/bd

= p/q, Which is again a rational number.

Hence, the rational numbers are closed under addition. The answer is True.

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Regression based on data that are summary statistics tends to result in a higher correlation is true statement about regression.

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable. the consequence of doing a regression analysis, which is the mathematical representation of the relationship between a dependent (outcome or response) variable and one or more independent (predictor) variables. Finding the variables that have an effect on an interest issue can be done with accuracy using regression analysis. You can confidently establish which elements are most important, which ones can be ignored, and how these factors interact when you do a regression.

Given,

True statement about correlation is:

Regression based on data that are summary statistics tends to result in a higher correlation.

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Abigali should invest $14197.97 in this amount to get the goal

From the formula of the simple interest,

S.I = P.r.t/100

Simple interest is the interest amount on the particular amount for the required rate in a given interval of time.

Where S.I = simple interest for the original amount

P = principal amount

t = number of times of period

r =rate interest

In this problem, we have

r = 6.92

S.I = 5896

t = 6 years

Since, Abigali pays 6.92% simple interest per year in her account for the interest of $5896 in the six years

Therefore, as per the question

P = (S.I x 100)/r.t

P = (5895 x 100)/ (6.92 x 6) = $14197.97

Therefore, original money will be $14197.97

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The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function, along with their meaning, are listed as follows:

Given two points, only one line will pass through them.

Using a calculator, the lines are given as follows:

Then the x-coordinate of the point in which the lines intersect is obtained as follows:

4x - 1 = -1.25x + 10.5

5.25x = 11.5

x = 2.19.

The y-coordinate can be found in any of the equations, hence:

y = 4(2.19) - 1 = 7.76.

Another point on the line y = 4x - 1 has a x-coordinate of 3 and an y-coordinate obtained as follows:

y = 4(3) - 1 = 12 - 1 = 11.

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Answer:

19

Step-by-step explanation:

a²-6

where, a=5

(5)²-6

25-6

19

Answer:

[tex]\huge\boxed{\sf 19}[/tex]

Step-by-step explanation:

a² - 6

Put a = 5

= (5)² - 6

= 25 - 6

= 19

[tex]\rule[225]{225}{2}[/tex]

The 4 sign that someone is having as allergic reaction are cell mediated, cytotoxic, immunocomplex and anaphylactic ?

The symptoms and signs that someone having allergic reaction is that

People experienced food allergies also like hives, swelling of the tongue, swelling of tongue, swelling of face. Some of the respiratory symptoms are chest tightness, coughing, shortness of breath, wheezing, throat tightness. There are also some GI symptoms which are diarrhea, vomiting, cramps and abdominal pain.

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By using the concept of growth, it can be calculated that

There are 7023550 bacteria after 19 hours

What is growth?

Growth is the process in which a value of an object or asset increases at a certain rate over a certain period of time.

Here, concept of growth is used

A culture of bacteria has an initial population of 9700 bacteria and double every 2 hour

So,

[tex]P_0 =[/tex] 9700

d = 2 hours

t = 19 hours

[tex]P_t = 9700 \times 2^{\frac{19}{2}}[/tex]

[tex]P_t = 7023550[/tex]

There are 7023550 bacteria after 19 hours

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3/7  is the probability that martin is served a main course.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                            In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

A = Served with main course

n(A) = 6

S = sample space total no of different courses

n(S) = 6 + 3 + 5 = 14

P(A) = n(A)/n(S)  = 6/14 = 3/7

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The two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x.

The derivative of the first derivative of the given function is known as the second order derivative. We can learn about the slope of the tangent at a particular position or the instantaneous rate of change of a function at that point from the first-order derivative at that point.

F”(x)= x^2+6

F’(x)= \int f"(x) dx

       = \int( x^2+6) dx

       = \frac{x^3}{3}+6x+c_1                                  c_1 is the integral constant.

F(x)= \int f\prime(x) dx

      = \int f (\frac{x^3}{3}+6x+c_1) dx

      = \frac{x^4}{12}+3x^2+c_1x+c_2

(i) if c_1=0 , and c_2=0

   F(x)= \frac{x^4}{12}+3x^2

(ii) if c_1=1, and c_2=0

        F(x)= \frac{x^4}{12}+3x^2+x

Therefore the two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x

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After t = 60.3 minutes will the temperature of the object be equal to 80 degrees.

The function  f(t) = Ce^-kt + 77........ (1)  

Now, at t = 0, f(0) = 150 = C + 77

C = 73

So, the function (1) becomes  f(t) = 73e^-kt + 77 ......... (2)

Now, it is given that at t = 10 minutes, f(10) = 120 degree.

Consequently, from equation (2),  120 = 73e^-kt + 77

73e^-10k = 43

e^-10k = 0.589

Now, taking logarithm ln  both sides we get -10k (ln e) =ln (0.589)

k = 0.0529

Therefore, the equation (2) becomes  f(t) = 73e^-( 0.0529)t + 77  ......(3)

Now, putting f(t) = 80 degree, we have from equation (3),

f(t) = 73e^-( 0.589)t + 77

80 = 73e^-( 0.589)t + 77

e^-( 0.0529)t = 0.041

Taking ln both sides we get, -0.0529t = - 3.19, ⇒ t = 60.3 minutes

The object's temperature will reach 80 degrees after t = 60.3 minutes.

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If 1000 more insects were added then the digit at the thousandth place will change, it will increase by 1.

The number of insects = 8725

1000 more insects added.

Therefore number of insects = 8725 + 1000 = 9725 insects

Hence only the number of insects changes the digit in the thousandths place only.

In the case of decimals, the place value system is equivalent to the whole number for the whole number portion. But there is another world of numbers that persists much past the decimal point, and in this world, we use decimal fractions to express the value.

As we proceed to the left, each place becomes ten times larger than the place value before it. As a result, to the right of each place, we get ones (1), tenths (1/10), hundredths (1/100), and so on.

There are two ways to read a decimal number. Read the whole number first, then the word "point," and finally the fractional part's digits separately.

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The 5 steps in dividing rational expressions are explained below.

Rational expression seem to be parts that have factors in their denominators (and frequently numerators as well). For instance, x 2 x + 3 \dfrac{x^2}{x+3} x+3x2 start part, x, squared, separated by, x, furthermore, 3, end portion is a reasonable articulation.

1) Take the rational expression.

2) Rewrite the division as the product of the first rational expression then, the reciprocal of the second.

3) Factor the numerators and denominators of rational expression completely.

4) Multiply the numerators and denominators together.

5) Simplify by dividing out common factors.

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Automated External Defibrillator(AEDs) administer an electrical shock. So it is dangerous to use n a victim who is lying on a conductive surface.

In the given question we have to explain what is a danger that would stop us from using an AED.

AEDs can be hazardous to use in damp settings, endangering the patient or the person supplying care. When treating the cardiac arrest sufferer, you must be especially careful because AEDs administer an electrical shock. When submerged in water, never use an AED.

Do not use an AED on a victim who is laying on conductive material. If other people are close to conductive items like metal bleachers or sheet metal, they could also get shocked.

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The dilation and scale factor would be considered as imilarity transformation.

In general, similarity transformations preserve angles. Side lengths are enlarged or reduced according to the scale factor of the dilation. This means that similar figures will have corresponding angles that are the same measure and corresponding sides that are proportional.

Similarity transformations include dilation and any number of rigid transformations. In a similarity transformation, the ratio of the lengths of corresponding sides in the image and the pre image is equal to the scale factor of dilation. Two or more similar figures will have corresponding sides that are proportional in length.

Hence the answer is the dilation and scale factor would be considered imilarity transformation.

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Answer:

15.5 inches

Step-by-step explanation:

Let the width be [tex]w[/tex] and the length be [tex]w+4[/tex].

Using the formula for the perimeter of a rectangle,

[tex]2(w+w+4)=54 \\ \\ 2w+4=27 \\ \\ 2w=23 \\ \\ w=11.5 \\ \\ \implies w+4=15.5[/tex]

The solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

What is system of linear equations?

The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

Given that;

Y - x = 6

Y + x = -10

Let's equalize the two equations as they are both equal to y;

x + 6 = - x - 10

By further calculation

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

The value of x should be replaced in either equation;

y - x = 6

y - (-8) = 6

So we get

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

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The value of x is 12.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

We are given a triangle with the angles (8x-1), (3x +9) and (3x + 4)

Since we know that the sum of the interior angles of a triangle is 180 degrees.

Therefore,

(8x-1) + (3x +9) + (3x + 4) = 180

8x + 6x + 12 = 180

14x + 12 = 180

14x = 168

x = 12

Hence, the value of x is 12.

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Answer:

XZ = 22.5 inches

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{XZ}{PR}[/tex] = [tex]\frac{XY}{PQ}[/tex] ( substitute values )

[tex]\frac{XZ}{15}[/tex] = [tex]\frac{9}{6}[/tex] ( cross- multiply )

6 × XZ = 15 × 9 = 135 ( divide both sides by 6 )

XZ = 22.5 inches