What is the standard form for six cubed?

Answer:

The discriminant of a quadratic equation ax² + bx + c = 0, is the value of b² - 4ac.

Given the equation 2x² + 6x + 3 = 0, the discriminant is:

b² - 4ac = (6)² - 4(2)(3) = 36 - 24 = 12

So the discriminant is 12.

Step-by-step explanation:

Answer:

Rectangular

Step-by-step explanation:

I would be rectangular if you listened in class you would know.

Jerry has been doing it-up for number of 10 days , not counting the first day.

n + 14 = 33

n = 19 days

We know that Jerry did 15 it-up on the first day and 33 it-up today. Therefore, we can subtract 15 from 33 to get the total number of it-up that Jerry did over the past few days.

33 - 15 = 18e

We know that Jerry did 2 more it-up each day, so we can divide 18 by 2 to get the number of days.

18 / 2 = 9

Finally, we need to add 1 to the result to account for the first day.

9 + 1 = 10 days

Jerry has been doing it-up for 10 days, not counting the first day.

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The length of the rectangle is 28 feet, and the width is 58 feet.

We know that for a rectangle of length L and width W, the perimeter can be written as:

P = 2*(L + W)

Here we know that the perimeter is 172 ft, then we can write:

172 ft = 2*(L + W)

And we know that the length is an integer:

L = x

And the width is two times the next integer:

W = 2*(x + 1)

Then we can replace these two in the perimeter equation so we get:

172 = 2*(x + 2*(x + 1))

172 = 2*(x + 2x + 2)

172 = 6x + 4

172 - 4 = 6x

168 = 6x

168/6 = x

28 = x

So we have:

Length = x = 28 ft

Width = 2*(x + 1) = 2*(29) ft = 58ft

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The the length and width  of the rectangle are 43 feet and 129 feet

Perimeter is the distance round an object,  The rectangle is a polygon that has four sides and some of its angles is equal to 360 degrees

The given parameters that will help us to find the values of the length and width of the rectangle are

Perimeter = 172

The length is an integer = 2

The width is 2 times the next consecutive integer = 2(3) = 6

The ratio of the sides of the rectangle is

W = 2/8 *172 = 43

Length = 6/8*172 = 129

Therefore length and the width of the rectangle are 43 feet and 129 feet

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Answer: Matthew will use 12.25 Gallons of Paint. (I'm not sure if I have the correct amount of cm so if you think/know it's a different amount, use the step by step explanation to figure it out. Good luck :D)

Step-by-step explanation: 28x2.5 = 70. 70 Feet to Square Feet = 4900 square feet. 4900 divided by 400 = 12.25.

Sarah can blow 7 minutes to blow 21 balloons

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Sarah can blow 3 balloons in 1 minute

Then unit rate of sarah is 3 balloons per minute

Thus the time she would take to blow 21 balloons is 21/3=7 minutes

Hence, Sarah can blow 7 minutes to blow 21 balloons

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Answer:

--------------------------------

The line passes through the origin, therefore one point on the line is sufficient to determine the equation:

The point on the line is (1, - 3), so the line is:

Answer:

[tex]y=-3x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

From inspection of the given graph, two points on the line are:

Substitute the two points into the slope formula to calculate the slope of the line:

[tex]\implies m=\dfrac{-6-(-3)}{2-1}=\dfrac{-3}{1}=-3[/tex]

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

Substitute the found slope and one of the points on the line into the point-slope formula:

[tex]\implies y-(-3)=-3(x-1)[/tex]

[tex]\implies y+3=-3x+3[/tex]

[tex]\implies y=-3x[/tex]

Answer: D

Step-by-step explanation:

Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.

We can start by using the following equation to find the number of quarters Rachel has: Q + D + N = T

Where Q is the number of quarters, D is the number of dimes, N is the number of nickels, and T is the total amount of money in dollars. We know that T is $4.65, and we know that Rachel has twice as many nickels as quarters, and three more quarters than dimes.

Let's assume that Rachel has x number of quarters

So we can write the above equation as:

x + (x+3) + 2x = 4.65

4x+3 = 4.65

4x = 1.65

x = 0.4125

Rachel has 0.4125 quarters, Which is not possible as it is a decimal. So we need to round it off to the nearest whole number.

Rachel has 0.4125 quarters which is equivalent to o.41 quarters.

Therefore, Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.

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The standard form of the linear function in this problem is given as follows:

-4x + 5y = -25.

The linear function for this problem is defined in point-slope form as follows:

y + 1 = 4/5(x - 5).

To convert to standard form, we leave the coefficients of x and y on the left side and the constant on the right side, hence:

y + 1 = 4x/5 - 4.

-4x/5 + y = -5.

Multiplying everything by 5, we have that:

-4x + 5y = -25.

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Therefore , the solution of the given problem of expressions comes out to be n= 19.

Addition, subtraction, division, and the term multiply are examples of numerical computations that are possible. The words are arranged as follows: An equation, a calculator, and an integer or variable A mathematical expression is mainly composed of constants, numbers, and processes (such as additions, subtraction, multiplying, or dividing, etc.). Contradictory claims or expressions and variable are possible.

Here,

Given : a^15.a^4

to find a^n

thus,

=>a^15.a^4 = a^n

=> a^(15+4) = a^n

=> a^19 = a^n

So, on comparing above expression

We get ,

n= 19

thus , n=19 is the solution for this problem

Therefore , the solution of the given problem of expressions comes out to be n= 19.

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The transformation g(x) = -2(x + 5) is described as follows

Transformation is a term used in mathematics to refer to the movements made by objects.

Translation refers to a type of transformation that involve a linear movement.

The following movements are involved in translation

he left and right movements are on the horizontal direction controlled by the x coordinate. (x + 5) = horizontal shift left 5 units

While the up and down movements are on the vertical direction controlled by the y coordinate. k(x + 5) vertical shift up 5 units

multiplying the equation by a number greater than one leads to vertical stretch since it is a negative number this will be a reflection over the y axis

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The correct group is 3rd. (Option C)

The groups of numbers that are ordered correctly from least to greatest are :

-13,−16,12,1

-110,0.2,310,14

-112,−0.75,−0.25,112

The first group has -13, -16, 12 and 1. -13 and -16 are the smallest numbers and 1 is the largest, so it is ordered incorrectly from least to greatest.

The second group has -110,0.2,310,14 and -110 is the smallest number and 310 is the largest, so it is ordered incorrectly from least to greatest.

The third group has -112, -0.75, -0.25 and 112. -112 is the smallest number and 112 is the largest, so it is ordered correctly from least to greatest.

The last group has -8,-34,-3,14 and -34 is the smallest number and 14 is the largest, so it is not ordered incorrectly from least to greatest.

Therefore, the correct group is 3rd. (Option C)

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The value of the number in the statement is 8

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

A mathematical statement represented as

Five times the difference of twice a number and three is twenty-five

Represent the number with x

So, we have

Five times the difference of twice x and three is twenty-five

When represented as an equation, we have

5(x - 3) = 25

Divide both sides by 5

This gives

x - 3 = 5

Add 3 to both sides

x = 8

Hence, the number is 8

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Answer:

x > -20/7

Step-by-step explanation:

[tex]\frac{2x-4+5x}{8} > -3[/tex]

multiply both sides by 8 to remove the denominator

2x-4+5x > -24

7x - 4 > -24

add 4 to both sides to isolate the variable and its coefficient

7x > -20

divide both sides by 7 to isolate x

x > -20/7

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2x - 4 + 5x}{8} > -3}[/tex]

[tex]\mathsf{= \dfrac{7}{8}x - \dfrac{1}{2} > -3}[/tex]

[tex]\text{Add } \rm{\dfrac{1}{2}\text{ to both sides of the equation}[/tex]

[tex]\mathsf{\dfrac{7}{8}x - \dfrac{1}{2} + \dfrac{1}{2} > -3 + \dfrac{1}{2}}[/tex]

[tex]\text{Simplify it}[/tex]

[tex]\mathsf{\dfrac{7}{8}x > -3 + \dfrac{1}{2}}[/tex]

[tex]\mathsf{\dfrac{7}{8}x > - \dfrac{5}{2}}[/tex]

[tex]\text{Multiply }\rm{\dfrac{8}{7}\text{ to both sides of the equation}[/tex]

[tex]\mathsf{\dfrac{8}{7}\times\dfrac{7}{8}x > \dfrac{8}{7} \times - \dfrac{5}{2}}[/tex]

[tex]\text{Simplify it}[/tex]

[tex]\mathsf{x > \dfrac{8}{7}\times -\dfrac{5}{2}}[/tex]

[tex]\mathsf{x > \dfrac{8\times -5}{7\times 2}}[/tex]

[tex]\mathsf{x > \dfrac{-40}{14}}[/tex]

[tex]\mathsf{x > \dfrac{-40\div 2}{14\div2}}[/tex]

[tex]\mathsf{x > -\dfrac{20}{7}}[/tex]

[tex]\mathsf{x > -2 \dfrac{6}{7}}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x > -\dfrac{20}{7} \ or \ \mathsf{x > -2 \dfrac{6}{7}}}}\huge\checkmark[/tex]

[tex]\textsf{It is an o.p.e.n circle shaded to the right}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The horizontal line test is a method used in mathematics to determine if a given function is one-to-one. A function is one-to-one if for every unique x-value, there is a unique y-value.

The horizontal line test is used to determine if a function is one-to-one by drawing a horizontal line through the graph of the function and seeing if the line intersects the graph at most once.

The horizontal line test is based on the idea that if a horizontal line intersects the graph of a function more than once, then there must be at least one pair of x-values that correspond to the same y-value.

This means that the function is not one-to-one and therefore, not invertible. A function that is not invertible is not a function in strict mathematical sense.

It's important to note that the horizontal line test can only be applied to functions that are defined on a closed interval or on all real numbers.

Also, It is only a sufficient condition, meaning that a function that passes the horizontal line test is one-to-one, but not all one-to-one function pass the horizontal line test.

In conclusion, the horizontal line test is a method used to determine if a given function is one-to-one by drawing a horizontal line through the graph of the function and seeing if the line intersects the graph at most once.

If it does, the function is one-to-one, if not, the function is not one-to-one and therefore not invertible. The test is only sufficient and should be used with caution.

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Answer:

a) Reflexive Property => 7
b) Angle Congruence Postulate => 8
c) Definition of Supplementary => 4
d) Segment Addition Postulate => 5
e) Definition of Right Angle => 6
f) Symmetric Property => 11
g) Substitution Property of Equality => 2
h) Definition of Complementary => 1  
i) Segment Congruence Postulate => 9
j) Angle Addition Postulate => 3
k) Linear Pair Postulate (maybe 10)

Step-by-step explanation:

Hope this helps and sorry for taking so long!

By setting y = 0 and factoring, we can determine the roots of other polynomial functions. Because there is only one value of x for which x - 3 = 0 and no values of x for which x2 + 3x + 9 = 0.

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

By setting y = 0 and factoring, we can determine the roots of other polynomial functions. Because there is only one value of x for which x - 3 = 0 and no values of x for which x2 + 3x + 9 = 0, the equation y = x3 -27 = (x - 3)(x2 +3x2 + 9) has only one root (x = 3). (the discriminant is negative).

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The distribution of the data is skewed right, which means that the data is not evenly distributed across the range of values.

To calculate the skewness, we can use the formula Skewness = (Mean - Mode) / Standard Deviation. In this case, the mean is 599.2 seconds, the mode is 590 seconds, and the standard deviation is 110.88 seconds. Plugging these values into the formula, we get Skewness = (599.2 - 590) / 110.88 = 0.8094. This indicates that the data is skewed right, as the skewness is greater than 0. A right-skewed distribution typically occurs when the majority of data points are closer to the minimum value, while there are fewer data points near the maximum value. This can be seen in the graphical summary, where the majority of the data points are clustered around the lower end of the range and the tail extends to the right.

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Answer:

Step-by-step explanation:

true

Answer: True.

Step-by-step explanation: The new United States needed a way to borrow money for its government, its industrial development, and its commercial activity.

The  quotient of the fraction is -3/4 * p²/q²

We should know that when a number is divided by another number, the result is the quotient of the number

We have to find the quotient of the following division, -3/4 * p²/q²

This implies that (15p⁻⁴q⁻⁶)/(-20p⁻¹²q⁻³)

Now, (15p⁻⁴q⁻⁶)/(-20p⁻¹²q⁻³) will give

3/4p[(⁻⁴(⁻¹²)]q²(⁻⁶-(⁻³)]

We know that  all the terms in the expression are in product form, so we can treat them separately}

Hence  we know the property of exponent as aˣ/aᵇ=a(ᵇ⁻ˣ]

Hence this implies that -3/4 * p⁶/q²

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Answer:

C ( -1, 1)

Step-by-step explanation:

(5+x)/2= 2

x = -1

(-3+y)/2= -1

y= 1

The circumference of the Ferris is 408.2 ft.

We know that the circumference can be described as the distance round the circle. We have to note that the radius of the feriis would be very important as we try to obtain the circumference of the ferris.

We can see that the radius of the Ferris as is clear from the question that we have here is 65 ft. When the circumference can be gotten from the use of;

C = 2πr

Where r = radius and C = circumference

Thus;

C = 2 * 3.14 * 65

C = 408.2 ft

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Answer: To calculate the percent decrease of water in the tank, we can use the following formula:

Percent decrease = (Initial value - Final value) / Initial value x 100%

In this case, the initial value of water in the tank is 5 inches and the final value is 3 inches. So, the percent decrease is:

(5 - 3) / 5 x 100% = 2 / 5 x 100% = 40%

So, the percent decrease of water in the tank is 40%.

Step-by-step explanation:

The determinants for solving the linear system is given as follows:

The system of equations for this problem is defined as follows:

The matrix A is composed by the coefficients of x and y, hence:

A = [5 3]

  = [-8 -3]

The determinant of a 2 x 2 matrix is the multiplication of the principal diagonal subtracted by the multiplication of the secondary diagonal, hence:

|A| = 5 x (-3) - 3 x (-8)

|A| = -15 + 24

|A| = 9.

For the matrix Ax, the coefficients of x are replaced by the results of the equalities, hence:

Ax = [17 3]

    = [9 - 3]

|Ax| = 17 x (-3) - 3 x 9

|Ax| = -51 - 27

|Ax| = -78.

For the matrix Ay, the coefficients of y are replaced by the results of the equalities, hence:

Ax = [5 17]

    = [-8 -9]

|Ay| = 5 x (-9) + 17 x 8

|Ay| = 91.

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The t critical value for a two-sided confidence interval in each of the following situations:

a. Confidence level = 95%, df = 10, t critical value = 1.812

b. Confidence level = 95%, df = 15, t critical value = 1.753

c. Confidence level = 99%, df = 15, t critical value = 2.602

d. Confidence level = 99%, n = 5, t critical value = 3.365

e. Confidence level = 98%, df = 24, t critical value = 2.306

f. Confidence level = 99%, n = 38, t critical value = 2.821

The t-critical value is a value that is used to determine the margin of error in a two-sided t-test with a given level of confidence and degrees of freedom. The t-critical value can be looked up in a t-table, or calculated using a t-distribution calculator.

It is important to note that for a small sample size (n<30) t-distribution is used instead of the normal distribution, in that case, the degrees of freedom is n-1 and the t-critical value is different than the one calculated with degrees of freedom.

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The vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given here: A polygon JKLM

From the graph we can observe the co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

Hence, the vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)

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The four methods to solve quadratic equations are factorising, quadratic formula, graphing and completing the square.

Factorising is nothing but the method of equating the given equation to zero.

Quadratic formula method is by placing the coefficients of the given quadratic equation into the formula and obtaining the solutions.

Completing the square method is when a quadratic equation has a square term. We would once more have a linear equation if we could place two square terms on either side of the quality sign.

We can find the solution of a quadratic equation using a graph. Rearrange the equation so that one side corresponds to the graphed function. Plot this function and write y = the other side of the equation. To obtain the answers, draw vertical lines from the intersection spots down to the x-axis.

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Answer: It is not clear what you are asking for when you say "fifth formula". There are many formulas in mathematics, and it could be referring to different things in different context.

Formulas can be found in different branches of mathematics and science, such as geometry, algebra, physics, chemistry, etc. Can you please provide more context or specify what area of mathematics or science you are interested in?

It is important to note that any formula needs to be referenced in order to understand what it represents and how to use it.

Step-by-step explanation: