if trap is an isosceles trapezoid, what is the value of x?

Answer: the answer is 8

Answer:8  or 18

Step-by-step explanation: 5+13 is 18 and -5+13 is 8

Answer:

x = 9

Step-by-step explanation:

–3( x + 3 ) = –6 ( x–3)

–3x –9 = –6x + 18

–3x + 6x = 18 + 9

3x = 27

x = 27/3

x= 9

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The fitted regression equation is :y = 25.228X1 + 0.861X2 + 1283

Given the summary output :

Intercept 1283.000_ 352.000 _ 3.65

X1 _____ 25.228 ____8.63

X2 _____0.861 _____0.372

General form of a multiple regression model:

Y = B1X1+B2X2 +E

The fitted regression equation is :

y = 25.228X1 + 0.861X2 + 1283

Intercept and slope corresponding to the standard error :

Intercept = 352

Slope 1 = 8.61 ; slope 2 = 0.372

'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.

B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant

B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant

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The relative maximum for this graph is zero

Maximum of the graph is defined as the highest value of y-coordinate. This means the highest value on the y-axis. There are two types of maximums on the graph. Absolute maximum and the relative maximum.

Absolute maximum is the highest value of the y-coordinate on the graph. Whereas, relative maximum is the point where the graph changes its nature e.g. positive to negative.

Since, the given graph has all the points plotted on the x-axis e.g. value of y-coordinate is zero. That is why the value of relative maximum is also zero.

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There is no time within the interval 0≤t≤2, at which the amount of money raised is 10.

Function is a type of relation, or rule, that maps one input to specific single output.

Given the amount of money raised during a competing fund-raising campaign is modeled by the function M defined by M(t)=240(2t−1)(2t+36), where M(t) is measured in United States dollars and t is the time in days, to get the time t if the money raised is 10 dollars,

Then will substitute M = 10 into the modeled function and calculate the value of t.

M(t)=240(2t−1)(2t+36)

10=240(2t−1)(2t+36)

1 = 24(2t−1)(2t+36)

open the parenthesis;

1 = 24(4t²+72t-2t-36)

1 = 96t²+1680t-864

96t²+1680t-865 = 0

On factorizing, t = 2 is not a factor of the expression.

Thus there is not a time within the interval 0≤t≤2,

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Answer:

  x and y are proportional

Step-by-step explanation:

You want to know the relationship between x and y if their ratio is the same for all related pairs.

When x and y are proportional, the equation that relates them is ...

  y = kx

The ratio of y to x is then ...

  y/x = k . . . . . . the constant of proportionality

When the ratio is constant, the relationship is a proportional one.

The slope of the line is 9/13 according to the given line.

The same number is given for every two different points on the same line when the ratio is stated as a quotient ("rise over run"). On a falling line, there is a negative "rise." In a diagram that depicts a roof or a road as a description or a design, the line may be practical as established by a road surveyor.

The steepness, incline, or grade of a line can be approximated by the slope's absolute value. The slope of a line in the plane including the x and y axes is typically symbolized by the letter m and is defined as the difference in the y coordinate by the equivalent difference in the x coordinate between two different places on the line. The following equation encapsulates this:

Slope=rise/run

Rise=y₂-y₁

=-1-(-10)

=9

Run=x₂-x₁

=9-(-4)

=13

Therefore, slope=9/13

Hence, the slope of the line is 9/13.

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Answer:

I think the answer is C

Step-by-step explanation:

a) The function C(x) for the cost of the materials for the pen in terms of x

is : c(x) = 24x+(28800/x)+20

b)  the dimensions of the pasture that minimize cost is:

x = 24.62 and y = 69.28

c) minimum cost for Mr. Fishman to build this Ilama pen is $1682.77

a) Perimeter of fence = 2x+y

∴ cost of fencing = 12(2x+y)

also cost of poses corner house = 4×5 = 20

∴ Total cost of pen = 24x+!2y+20

But area of the pen = 2400

xy = 2400

y = 2400/x

Putting 1 in total cost c(x)

= 24x+{(12×2400)/x}+20

c(x)= 24x+{28800/x}+20

b) we need to minimize c(x)

using the graphical calculator we obtain

That x = 34.61

x = 34.61 & y = 2400/34.61 = 69.28

c) Minimum value of c(x) = c(34×64) = boxed 1682.77

Minimum cost for Mr. Fishman to build this Ilama pen is $1682.77

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The value of y can be written as y=(x+5)/4.

Here our task is not to find the value of x or y but to find the relation between x and y by eliminating the t from both the equations.

Given that,

Curve equations are  x= 2t-1 y=1/2t+1

x= 2t-1 and y=1/2t+1

2t = x+1

t = (x+1)/2

substitute t value in y

y = t/2 + 1

y = (x+1/2)/2 + 1

y = x+5/4

you can also write x =4y-5

But generally when we have to draw the graph we will be taking x as input value and y as output value so y can be written as y=(x+5)/4

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After solving the equation the jet is descending vertically at 12 mph.

The Pythagorean Theorem is a mathematical statement that states that in a right triangle the sum of the squares of the lengths of the two sides that make up the right angle are equal to the square of the length of the hypotenuse. This theorem is named after the ancient Greek mathematician, Pythagoras. It can be expressed as the equation: a2 + b2 = c2, where 'a' and 'b' are the lengths of the two sides adjacent to the right angle and 'c' is the length of the hypotenuse. The Pythagorean Theorem is a fundamental tool used in geometry and trigonometry, and it is used to calculate the lengths of the sides of a right triangle. It can also be used to calculate the distances between two points or to calculate the area of a triangle.

The jet is descending at 12 mph. This can be calculated by using the Pythagorean Theorem. Since the jet is approaching the oil depot horizontally at 738 mph and descending diagonally at a constant speed of 750 mph, we can use the Pythagorean Theorem to calculate the vertical component of the jet's descent.
750^2 = 738^2 + x^2
x = √(750^2 - 738^2)
x = 12 mph
Therefore, the jet is descending vertically at 12 mph.

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The required answer to the given term is 2.

What is simplification?

Finding the answer from a complex calculation is what is meant by simplification. To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

By eliminating all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form, fractions can be made simpler.

By combining and grouping like terms, mathematical expressions can be made simpler. This makes the phrase simple to comprehend and solve.

Given, 2/5 x 5

=  [tex]\frac{2}{5} *5[/tex]

= 2

Hence, the required answer to the given term is 2.

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On solving the provided question, we got to know that - the  cost of common equity is 11.84

Equity in mathematics education is defined by the National Council of Teachers of Mathematics as high standards and rewarding opportunities for everyone, addressing disparities to assist all kids learn mathematics, and making sure that all classrooms have resources and support for students.

here, the above question we have  -

D0 = $0.85;

P0 = $22.80;

g = 7.00%

  = 700

Answer is  -  The  cost of common equity is 11.84

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Answer:

5³

Step-by-step explanation:

5^7 : 5^4

5^(7-4)

5^3

Answer:26.78

Step-by-step explanation:

350x.062=21.70

350x.0145=5.08

21.70+5.08= 26.78

The Fibonacci sequence is 1, 1, 2, 3, 5,... , here each number of the sequence is the sum of the two preceding numbers in the sequence.

The Fibonacci sequence is the sequence that each number in the sequence is the sum of the preceding numbers

The first term = 1

The second term = 1

Third term will be the sum of the two preceding numbers

Third term = First term + second term

= 1 + 1

= 2

The fourth term = second term + third term

= 1 + 2

= 3

The fifth term = Fourth term + Third term

= 2 + 3

= 5

The sequence will be 1, 1, 2, 3, 5....

Therefore, the Fibonacci sequence is the sequence each number is the sum of the two preceding ones

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The absolute value of 3 by 5 is 3 by 5, absolute value of 3 is 3, negative absolute value of 3 is 3, absolute value of 5 on the number line is 5.

The absolute value if a number is the distance of the number from zero, in a number line. Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value |x| of a real number x is the non-negative value of x without regard to its sign. Absolute value is just the distance from zero in either the positive or negative direction.

Hence the absolute value of 3/5 is 3/5,

absolute value of 3 is 3.

Absolute value never be negative so negative absolute value of 3 is 3,

the absolute value of 5 on the number line is 5.

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Answer:

1/9

Step-by-step explanation:

The probability of A choosing is 1/10

then the probability of B choosing( without replacement)= 1/9

Answer: y=[tex]\frac{3x}{2}[/tex]+6

Step-by-step explanation:

isolate y by dividing both sides by 2

y=3x+12/2

y=[tex]\frac{3x+12}{2}[/tex]

y=[tex]\frac{3x}{2}[/tex]+6

The slope of  a line parallel to the line y=3/2x+3 is 3/2 and the slope of the line perpendicular to the line 2x+y=7 is 1/2

In this question we need to find the slope of line.

a)

We need to find the slope of  a line parallel to the line y=3/2x+3

The slope of line y=3/2x+3 is 3/2

We know that the slope of parallel lines is equal.

So, the slope of  a line parallel to the line y=3/2x+3 is 3/2

b)

We need to find the slope of the line perpendicular to the line 2x+y=7

We can write above equation of line in slope-intercept form of equation of line.

y = -2x + 7

This line has slope -2

We know that the product of slopes of perpendicular lines is -1.

Let m be the slope of required line.

So, m * (-2) = -1

m = 1/2

So, the slope of the line perpendicular to the line 2x+y=7 is 1/2

Therefore, a)  the slope of  a line parallel to the line y=3/2x+3 is 3/2

b)  the slope of the line perpendicular to the line 2x+y=7 is 1/2

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Comparing Probabilities of Dependent and Independent Events The probability that the sum of your numbers is 6 is 1

Generally, To find the probability that the sum of the numbers spun on the two spinners is 6, we need to consider all the possible combinations of numbers that could be spun on the two spinners and determine how many of those combinations result in a sum of 6.

The possible numbers that can be spun on the yellow spinner are 1, 2, 3, 4, and 5. The possible numbers that can be spun on the blue spinner are also 1, 2, 3, 4, and 5, but we have to re-spin if we get the same number as we spun on the yellow spinner.

Therefore, the possible numbers that can be spun on the blue spinner are all the numbers except for the number spun on the yellow spinner.

We can list out all the possible combinations of numbers that can be spun on the two spinners and determine which ones result in a sum of 6:

Yellow spinner | Blue spinner | Sum ----------------|----------------|----- 1 | 5 | 6 2 | 4 | 6 3 | 3 | 6 4 | 2 | 6 5 | 1 | 6

There are a total of 5 possible combinations of numbers that can be spun on the two spinners, and 5 of those combinations result in a sum of 6.

Therefore, the probability that the sum of the numbers spun on the two spinners is 6 is 5/5, or 1.

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The Integral [tex]\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt = i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)[/tex]

Given integral;

[tex]\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt[/tex]

By solving the above integral, we have;

⇒ [tex]\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt[/tex]

By applying the sum rule,

⇒ [tex]\int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

[tex]=\int \sec ^2\left(t\right)idt+\int \:t\left(t^2+1\right)^4jdt+\int \:t^6\ln \left(t\right)kdt[/tex]

[tex]\int \sec ^2\left(t\right)idt=i\tan \left(t\right)[/tex]

[tex]\int \:t\left(t^2+1\right)^4jdt = \frac{j\left(t^2+1\right)^5}{10}[/tex]

[tex]\int \:t^6\ln \left(t\right)kdt = k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)[/tex]

⇒ [tex]i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)[/tex]

Therefore, the integral [tex]\int \sec ^2\left(t\right)i+t\left(t^2+1\right)^4j+t^6\ln \left(t\right)kdt = i\tan \left(t\right)+\frac{j\left(t^2+1\right)^5}{10}+k\left(\frac{1}{7}t^7\ln \left(t\right)-\frac{t^7}{49}\right)[/tex]

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A line segment is a straight line connecting two points. In the case of a triangle, a line segment will always pass through a vertex, which is one of the three points that make up the triangle. A vertex is defined as the point at which two or more lines meet.

The other two points of a triangle are known as the base and apex. The base is the line that connects two vertices and forms the base of the triangle. The apex is the point of the triangle that is opposite the base and is the highest point of the triangle. All three of these points are connected by line segments, and together they form a triangle. Each line segment will always pass through one of the vertices of the triangle, thus forming the sides of the triangle.

Which of the following will always pass through a vertex of a triangle?

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Answer:

all of the above(ans)

By evaluating the function in the different integers, we will see that the correct option is D

Here we have the following function:

f(x)=x²-3x³-2x² + 3x-5.

We can simplify it by adding the first and third terms so we get:

f(x) =-3x³-x² + 3x-5.

To find between which two integers we have zeros, we need to evaluate the function in both of them and see if the signs of the outputs are different.

The first option is (-6, -5), we will get:

f(-6) = -3*(-6)³- (-6)² + 3*(-6) -5 = 589

f(-5) = -3*(-5)³ - (-5)² + 3*-5 - 5 = 330

Both are positive, so there aren't any zeros there.

The second option proposes (-2, -1), evaluating we will get:

f(-2) = -3*(-2)³- (-2)² + 3*(-2) -5 = 9

f(-1) = -3*(-1)³- (-1)² + 3*(-1) -5 = -12

There is a change of sign, so there must be a zero there.

The second pair is (3, 4)

f(3) =-3*(3)³- (3)² + 3*(3) -5 =- 86

f(4) =  -3*(4)³- (4)² + 3*(4) -5 =-201

So again, both negatives, there is not a zero there.

We can discard option C because we already know that (-6, -5) is not a solution, and just by discard, notice that the only option remaining is D, so that is the correct one.

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Is there any other information provided in the given question? For instance, is there data showing what each of the given letters represent?

The quotient of 258 divided by 4 is calculated to be 64.5

Division is considered to be one of the four basic operations of arithmetic. The other three are multiplication, addition, and subtraction, and they can be defined as how numbers are combined to make new numbers.

Out of the four basic operations, division is the process of splitting an amount or a number into equal parts.

In division, the numerator is the top number of a fraction, and on the other hand, the denominator is the bottom number of a fraction and the result of division is called the quotient

In this case, 258 is the numerator and 4 is the denominator;

258 / 4 = 64.5

Therefore the quotient of this division is calculated to be 64.5

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For fluid moving in a vector field, the flux through the rectangle's perimeter is 750.52.

Flux = ∫ F. X ds

Flux = ∫∫ delta. F da (by divergence theorem)

delta. F = d/dx(x³+4) + d/dy(ycos(3x))

            = 3x² + cos(3x)

So flux = ∫∫ 3x² + cos(3x) dy dx

            = ∫ (3x² + cos(3x)) (y)⁶₀ dx

            = 6 ∫ 3x² + cos(3x) dx

After evaluating,

             = 6(125 + sin(15)/3)

             = 750.52

Therefore, the flux through the boundary of the rectangle for fluid flowing along the vector field is 750.52

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The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB

What is the reflexive property of congruence?

According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.

The third step's key concept in this instance is the "Reflexive Property of Congruence."

The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.

Since it was established in the second stage that ∠ABC≅∠BDC

Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.

Internal angle C is the common angle in the triangles ABC and BDC.

As a result, it is consistent with itself due to its reflexive characteristic.

We obtain the following notation for internal angle C from triangle ABC:

Angle ACB and BCA(both will work)

Triangle BDC gives us the following notation for internal angle C:

Angle DCB and BCD(Both will function.)

They fit together. The second choice takes angle C into account, so:

∠BCA≅∠DCB (second option) is the missing statement.

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Its True that if a study uses simple random sampling, that means that each member of the population of interest is equally likely to be selected as a study participant.

A sampling strategy known as simple random sampling gives every member of the population an equal chance of being picked by using an objective selection procedure. Each subject in the sample is assigned a number, and the sample is then chosen using a random method.

One of the simplest and most popular methods for gathering data that aims to represent a group objectively is random sampling.

In order to establish a manageable, balanced subset of a person who is representative of a broader group that might otherwise be too difficult to sample, simple random sampling is used.

So it's true that  if a study uses simple random sampling, that means that each member of the population of interest is equally likely to be selected as a study participant.

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