Type ONLY your numeric answer. You do not need the degree symbol.

Answer:

Step-by-step explanation:

Given,

- 356 = -77 - 99x

=> -77 - 99x = -356

=> -99x = -356 + 77

=> -99x = -279

[tex] = > x = \frac{ - 279}{ - 99} [/tex]

=> x = 2.8181....

=> x = 2.82 (approx.) (Ans)

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{28p^5-8p^4 + 40p^2}{4p^3}\implies \cfrac{28p^5}{4p^3}-\cfrac{8p^4 }{4p^3}+\cfrac{ 40p^2}{4p^3}\implies 7p^5 p^{-3}-2p^4 p^{-3}+10p^2p^{-3} \\\\\\ 7p^{5-3}-2p^{4-3}+10p^{2-3}\implies 7p^2-2p+10p^{-1}\implies 7p^2-2p+\cfrac{10}{p}[/tex]

An equation in which the highest power of the variable is 1 is known as a linear equation. It is also termed a one-degree equation.

There are two types of linear equations, linear equations in one variable and linear equations in two variables. The standard form of a linear equation in one variable is Ax + B = 0. Where x = variable, A = coefficient and B = constant.

The standard form of a linear equation in two variables is Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always formed in a straight line. That is why it is named a 'linear equation'.

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Answer:

a= 7w

Step-by-step explanation:

hope this helps :)

Answer:

C

Step-by-step explanation:

Start with the vertex. It is the lowest point. It is located at (-2,4)

The axis of symmetry is always the x value when the parabola opens upward or down ward. This parabola opens upward so it is x = - 2.

The answer is C

Answer:

Step-by-step explanation:

The types of 3 triangles are called-

Scalene triangle:

Isosceles triangle:

Equilateral triangle:

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Answer:

Step-by-step explanation:

4*12  + 4[1/2(6*4)] =96 [tex]ft^{2}[/tex]

Answer: The Sale price is $196

Step-by-step explanation:

We can start by converting 30% to a decimal 0.3, then we will multiply the $280 by the decimal (280*0.3 = $84) This means it is marked down by $84, so to get the sale price we subtract the mark down by the original price, ($280-$84 = $196).

Answer:

The suit's sale price is $196.

Step-by-step explanation:

⭐What is "mark down"?

To find the sale price, we need to form an equation representing the given situation.

MARK DOWN:

original price - (mark down percentage)(original price) = sale price

Substitute the known values.

280 - (0.3)(280) = sale price

Compute.

280 - 84 = sale price

∴ $196 = sale price

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Answer:

D. Rotate triangle P 90° counter clockwise about point K, and then reflect it across a horizontal line through point K

Answer:

x = 79

Step-by-step explanation:

This is an isosecles triangle so the bottom angles have equal measure

and since the sum of interior angles in a triangle is equal to 180

2x + 32 = 180 subtract 32 from both sides

2x = 158 divide both sides by 2

x = 79

The halfway between the number is -1/4 on the number line.We can find halfway by using midpoint formula.

If the given number is positive mark it on the right side of the origin. If it is a negative number mark it on the left side of zero.Then divide each unit into the values equal to the fraction's denominator.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.

Now

Using midpoint formula

[tex]x_{1}[/tex]+[tex]x_{2}[/tex]/2 =-5/6 +1/3 divide 2

Find common denominator and write the numerators above common denominator

-5+2/12 =-3/12

            =-1/4

Hence we find midpoint between numbers.

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Answer:

16

Step-by-step explanation:

To make the sum X 3x² x 1, you must add -5x³ -2x² -6x -7 to 5x³ 2x² 6x 7.

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.

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Answer: To obtain the standard form of a linear equation, we want to rearrange the equation in the form Ax + By = C. Here are the standard forms of the given equations:

5x - 6y = 12

3y - 2x - 6 = 0

7x + y - 63 = 0

14x - y + 16 = 0

To obtain the slope-intercept form of a linear equation, we want to rearrange the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Here are the slope-intercept forms of the given equations:

There is no y-intercept, so this equation does not have a slope-intercept form.

y = (2/3)x + 2

y = (1/7)x + 9

y = (-7/2)x + 8

Step-by-step explanation:

Find the scale:

30 miles / 5miles = 6

Multiply km by the scale:

8 km x 6 = 48 km

The answer is 48 km

Answer: 48km

Step-by-step explanations:. It's just simple cross multiplication.

5miles----->8km

30miles---->?km

Answer is ( 30×8)÷5= 48km

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. None of the 4 points will lie on the same horizontal line.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

For the points to lie on the same horizontal line, the y-coordinate of the points must be equal.

In the given 4 points (-5,7) (5,-7) (7,-5) (-7,5), the y-coordinate of all the data points are different, therefore, none of them will lie on the same horizontal line.

Hence, none of the 4 points will lie on the same horizontal line.

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The general solution is [tex]$$y=c_3 e^x+c_4 e^{-x}+\frac{1}{2} x \sinh x \text {. }$$[/tex]

Consider the following differential equation: y'' − y = cosh x

The given differential equation in the operator form will be: (D^2-1)y=coshx

The auxiliary equation of the corresponding homogeneous equation will be:

m^2-1 = 0

=>m^2=1

=>m=+1,-1

So, the complementary function will be [tex]y_c=c_1 e^x+c_2 e^{-x}.\alpha[/tex]

Now, let [tex]y_1=e^x, y_2=e^{-x}.[/tex]

Compute the Wronskian determinant:

[tex]$$\begin{aligned}W\left(y_1, y_2\right) & =\left|\begin{array}{ll}y_1 & y_2 \\y_1^{\prime} & y_2^{\prime}\end{array}\right| \\& =\left|\begin{array}{ll}e^x & e^{-x} \\e^x & -e^{-x}\end{array}\right| \\& =-e^x e^{-x}-e^x e^{-x} \\& =-2\end{aligned}$$[/tex]

Since the given differential equation is already in the form [tex]$y^{\prime \prime}+P(x) y^{\prime}+Q(x) y=f(x)$[/tex] (that is, the coefficient of y'' is 1 ),

So identify:

f(x)=cosh x

Then, calculate the values of u_1' and u_2', using formulas as follows:

[tex]$$\begin{aligned}u_1^{\prime} & =-\frac{y_2 f(x)}{W} & u_2^{\prime} & =\frac{y_1 f(x)}{W} \\& =-\frac{e^{-x} \cdot \cosh x}{-2} & & =\frac{e^x \cdot \cosh x}{-2} \\& =\frac{e^{-x} \cdot\left(\frac{e^x+e^{-x}}{2}\right)}{2} & \text { and } & =-\frac{e^x \cdot\left(\frac{e^x+e^{-x}}{2}\right)}{2} \\& =\frac{1}{4}\left(1+e^{-2 x}\right) & & =-\frac{1}{4}\left(e^{2 x}+1\right)\end{aligned}$$[/tex]

Integrate on both sides of u_1' and u_2' with respect to ' x', to get:

[tex]$$u_1=\frac{x}{4}-\frac{e^{-2 x}}{8} \text { and } u_2=-\frac{x}{4}-\frac{e^{2 x}}{8} .$$[/tex]

So, the particular solution is,

[tex]$$\begin{aligned}y_p & =u_1 y_1+u_2 y_2 \\& =\left(\frac{x}{4}-\frac{e^{-2 x}}{8}\right) e^x+\left(-\frac{x}{4}-\frac{e^{2 x}}{8}\right) e^{-x} \\& =\frac{1}{4} x\left(e^x-e^{-x}\right)-\frac{1}{8}\left(e^{-x}+e^x\right) \\& =\frac{1}{2} x \sinh x-\frac{1}{8}\left(e^{-x}+e^x\right)\end{aligned}$$[/tex]

Thus, the general solution of the given differential equation is,

[tex]$$\begin{aligned}y & =y_c+y_p \\& =c_1 e^x+c_2 e^{-x}+\frac{1}{2} x \sinh x-\frac{1}{8} e^{-x}-\frac{1}{8} e^x \\& =\left(c_1-\frac{1}{8}\right) e^x+\left(c_2-\frac{1}{8}\right) e^{-x}+\frac{1}{2} x \sinh x \\& =c_3 e^x+c_4 e^{-x}+\frac{1}{2} x \sinh x\end{aligned}$$[/tex]

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Answer:

C. 107 + 2x - 5 + x = 180

Step-by-step explanation:

The sum of interior angles of a triangle = 180°

Therefore, to find x, we would state that all three angels indicated in the figure above equals 180°.

Thus:

107 + 2x - 5 + x = 180

We can solve and find the value of x using the equation above

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Mizuki is here to help!

115200 [tex]ft^3[/tex] is the volume of the building.

Step-by-step explanation:

120 x 20 x 48 =

2400 x 48 =

115200

The area of a polygon with the given vertices is calculated by adding the areas of the individual triangles that make up the polygon.

A polygon is a closed figure in a plane consisting of a set of straight line segments connected end-to-end. The sides of a polygon are all of equal length, and the angles between them are all of equal measure. Polygons are one of the most fundamental shapes in geometry. They include triangles, squares, rectangles, hexagons, and many more.

The area of triangle WXZ is calculated as (1/2) × |XW × ZY|,

where XW is the vector from W to X and ZY is the vector from Z to Y.

In this example,

XW = (3, -2) and ZY = (-2, -4).

Therefore, the area of triangle

WXZ is (1/2) ×|(3, -2) × (-2, -4)| = (1/2) × 14 = 7.

The area of triangle XYA is calculated similarly,

where XY = (2, 3) and YA = (-2, -4).

Therefore, the area of triangle

XYA is (1/2) ×|(2, 3) ×(-2, -4)| = (1/2)× (-14) = -7.

The area of the polygon is calculated by adding the areas of the individual triangles, which in this example is 7 + (-7) = 0. Therefore, the area of the polygon with the given vertices is 0.

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For triangle ACE, if BD ∥AE , then BA/CB = DE/CD is proved.

For given triangle ACE,

BD || AE                             ...............(Given)

∠4 ≅ ∠1 and ∠3 ≅ ∠2      ..............(Corresponding Angles Postulates)

ΔACE ~ ΔBCD                  .............(Angle-Angle Similarity Postulate)

CA/CB = CE/CD                ............(Definition of similar triangles)

CA = CB + BA, CE = CD + DE           ..........(Segment Addition Postulate)

(CB + BA)/CB = (CD + DE)/CD   ..........(Substitution Property of Equality)

CB/CB + BA/CB = CD/CD + DE/CD  .........(Addition of Fractions)

1 + BA/CB = 1 + DE/CD                  .............(Siplification of fractions)

BA/CB = DE/CD                   ...............(Subtraction Property of equality)

Hence proved.

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Answer:

85

Step-by-step explanation:

So you know that there are 26 letters in the alphabet and 3 letters in the license plate, so that would be 26 multiplied by 3 to cover all of those letters.  The first letter can't be I or O, so you subtract 2 from the product.  26 times 3 is 78, minus 2 is 76. There are 10 single digits, but only one in the plate and it can't be 0.  This leaves 9 digits so you add that to the total number.  

76 + 9 = 85

I hope this helps!  :)

Sorry for my previous answer, I misread the question, but this is the correct answer now, hope this helped!

Answer:

129600 license plates

Step-by-step explanation:

This time, we will use an option of solving where we take the number of possibilities for one letter, then multiply it by the next, then multiply it by the next, then multiply it by the number of possibilities for the number. We would have 24 letters to start (not including I or O), then after we pick one, we need to remove it since we can't repeat letters. So just for our letters, we would get:

24 * 25(only the first digit can't have I or O) * 24

Then, we need to multiply that by 9 (since we are not including 0), giving us:

24 * 25 * 25 * 9 = 129600

Meaning, we can have 129600 different license plates.

Hope this helped!

Answer: [tex]3\dfrac{1}{8}\ \text{cups}[/tex]

Step-by-step explanation:

Given

Yoshi need [tex]1\frac{1}{4}[/tex] cups of blueberries to make 1 batch of muffins

convert mixed fraction to fraction

[tex]\Rightarrow 1\dfrac{1}{4}=\dfrac{5}{4}[/tex]

i.e. [tex]\frac{5}{4}[/tex] cups are required for 1 batch of muffins

for [tex]2\frac{1}{2}[/tex] batch or [tex]\frac{5}{2}[/tex] batch it is given by

[tex]\Rightarrow \dfrac{5}{2}\times \dfrac{5}{4}\\\\\Rightarrow \dfrac{25}{8}=3\dfrac{1}{8}\ \text{cups}[/tex]

The factor of the given expression is -1 and 5/2 first we try to solve given expression as a quadratic equation then we make 2 terms equal to 0.

first, try to understand what is the factor of a quadratic equation.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.

The roots of a quadratic equation are known as a factor. This means if we put the value of x to factor then the quadratic equation will become zero.

2x^2 - 3x - 5 = 2x^2 - (5-2)x - 5

3 can be written as 5-2.

2x^2 - 5x + 2x - 5

x(2x - 5) +1(2x-5)

(2x - 5)(x + 1)

So the factors is 2x -  5 = 0 or x  + 1 = 0.

2x - 5 = 0  , x = 5/2.

x + 1 = 0 , x = -1.

Given question is  incomplete complete  question here:

Which of the following is a factor of 2x^2 - 3x - 5?

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Answer:

Hello! answer: Q

Step-by-step explanation:

The answer would be Q hope that helps!

Answer:

Q

Step-by-step explanation:

The approximate value of sqrt 23 is 4.8

Each line is 0.2