what is the area of stuvwx in the parallelogram below?

If [tex]f(x)[/tex] has a removable discontinuity at [tex]x=a[/tex], then the limit

[tex]\displaystyle \lim_{x\to a} \frac{f(x)}{x-a}[/tex]

exists and is finite.

A non-removable discontinuity at [tex]x=b[/tex] would entail a non-finite limit,

[tex]\displaystyle \lim_{x\to b} \frac{f(x)}{x-b} = \pm\infty[/tex]

or the limit does not exist (which could be due to the limits from either side of [tex]x=b[/tex] not matching or existing).

For a rational function, we want

[tex]f(x) = \dfrac{p(x)}{q(x)}[/tex]

where [tex]p[/tex] and [tex]q[/tex] are polynomials in [tex]x[/tex]. To get a removable discontinuity at [tex]x=a[/tex], both [tex]p[/tex] and [tex]q[/tex] must be divisible by [tex]x-a[/tex], and the limit of their quotient after removing these factors still exists. That is,

[tex]\displaystyle \lim_{x\to a} f(x) = \lim_{x\to a} \frac{p(x)}{q(x)} = \lim_{x\to a}  \frac{(x-a)p^*(x)}{(x-a)q^*(x)} = \lim_{x\to a} \frac{p^*(x)}{q^*(x)} = \frac{p^*(a)}{q^*(a)}[/tex]

On the flip side, we get a non-removable discontinuity [tex]x=b[/tex] if [tex]p[/tex] is not divisible by [tex]x-b[/tex], in which case

[tex]\displaystyle \lim_{x\to b} f(x) = \lim_{x\to b} \frac{p(x)}{q(x)} = \lim_{x\to b}  \frac{p(x)}{(x-b)q^*(x)} = \frac{p(b)}{0\times q^*(b)}[/tex]

and this is undefined.

Suppose [tex]f(x)[/tex] has a non-removable discontinuity at [tex]x=-5[/tex] and a removable one at [tex]x=4[/tex]. Then one such function could be

[tex]f(x) = \dfrac{x-4}{(x-4)(x+5)} = \dfrac{x-4}{x^2+x-20}[/tex]

Answer:

no

Step-by-step explanation:

the bet displays 3 hexagonal bases when in the figure there is only 2 bases.

Answer:

No.

Step-by-step explanation:

Examples of three-dimensional figures are: Cuboid, Cube, Cylinder, Sphere, Pyramid, and a Cone.

a)The total inside length of the curved ends of the track will be 25.13 meters

b)The total distance around the inside of the track will be 275.13 meters

c)The area inside the track is 10050 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.

a) what is the total inside length of the curved ends of the track?

The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.

So the length will be = π r + πr = 2 πr

                                  = 2 x π x 4 = 25.13

b) what is the total distance around the inside of the track?

The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.

Total length = 125 + 125 + 25.13

                     = 275.13 meters

c) what is the area inside of the track?

The area will be equal to the area of the two semicircular tracks and the rectangular track.

Total Area = Area of semicircle + Area of semicircle + Area of rectangle

                  = ( π/2 ) r² + (π/2) r² + ( L x W )

                  =  π  r² + (  L x W)

                  = π ( 4 )² + ( 125 x 8 )

                  = 10050.26 square meters.

Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.

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The value of the WZ will be 28.18. The given figure is quadrilateral.

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

In ΔZXY

∠Z+∠X+∠Y=180

∠Z+34°+90°=180°

∠Z = 56°

In Δ WZY

sin Θ = WZ/ZY

sin 56° = WZ/34

WZ= 28.18

Hence, the value of the WZ will be 28.18.

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The side WZ = 30.4.

The angles which lie on the alternate side of the line between two parallel lines.

Given a geometry in which ZY = 34, WY = 38, and ∠ZXY = 34°

In this geometry, opposite sides are equal.

WZ = XY and WX = ZY.....................(1)

The diagonal are perpendicular to each other.

∠XVY = 90°

Diagonal form four right angle triangles. Take ΔXVY

VY = WY/2

VY = 38/2

VY = 17

Using trigonometric property,

sin X° =  VY / XY

sin 34° = 17/XY

XY = 30.4

From equation 1, we have

WZ = 30.4

Thus, the value of WZ is 30.4.

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Answer:

this is the answer

Step-by-step explanation:

a 65

b 650

c 52

d 3

Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

To solve this problem, you will first use the Angle Sum Property to determine the value of x after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as x in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is x and can therefore be placed in an equation:

[tex]65+42+x=180[/tex]

Combine the like terms by combining the constants on the left side of the equation using addition:

[tex]65+42+x=180[/tex]

[tex]107+x=180[/tex]

After combining like terms, subtract 107 from both sides of the equation:

[tex]107 - 107 +x = 180-107[/tex]

[tex]\boxed{x=73}[/tex]

The final answer is x = 73 degrees.

Let's check

Remove root over and simplify 1+cot²Ø

Putting root over

Sin can be found also along with csc

Answer:

-15

Step-by-step explanation:

-13-2= -15

(to check:2+ -15= -13)

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

[tex]\mathsf{2 + [blank] = -13}[/tex]

[tex]\large\textbf{CONVERT TO: }[/tex]

[tex]\mathsf{2 + b = -13}[/tex]

[tex]\mathsf{b + 2 = -13}[/tex]

[tex]\large\textbf{SUBTRACT 2 to BOTH SIDES: }[/tex]

[tex]\mathsf{b + 2 - 2 = -13 - 2}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{b = -13 - 2}[/tex]

[tex]\mathsf{b = -15}[/tex]

[tex]\huge\text{Therefore, the mystery number is: \boxed{\mathsf{-15}}}\huge\checkmark[/tex]

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

Answer:

879.6452 cm

Step-by-step explanation:

The curved surface area of a cylinder is calculated using the formula, curved surface area of cylinder = 2πrh, where 'r' is the radius and 'h' is the height of the cylinder.

diameter = 2r

14=2(r)

7=r

2(π)(7)(20) cm

2(3.14159)(7)(20)

879.6452

What Lewis did wrong was that; He budgeted more than the maximum recommended amount of money for transportation.

We are given;

Net spendable income = $2,000 per month

Now, we see how much he has budgeted for other items such as Car payments, Gas/Oil, Insurance, License/Registration, Taxes, Maintenance/Repair.

Now, from the recommended transportation budget of between 15% - 20% of the  net spendable income, we can see that he would likely spend more than that if we add the cost of maintenance and repair.

Thus, what Lewis did wrong was that he budgeted more than the maximum recommended amount of money for transportation.

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Answer:

Step-by-step explanation:

Answer:

A. He budgeted more than the maximum recommended amount of money for transportation. PLATO (Im 100% sure

The equation of the line in point-slope form is: C. y − 5 = −(x − 2).

A line with a slope (m) and a point (a, b) is represented in point-slope form as, y - b = m(x - a).

Slopes of perpendicular lines are negative reciprocals of each other. Find the slope of the line in the graph given as follows:

Slope (m) = rise/run = 3 units/3 units = 1

Negative reciprocal of 1 is -1.

The slope of the line would be m = -1.

Substitute m = -1 and (a, b) = (2, 5) into y - b = m(x - a) to wrote the equation:

y - 5 = -1(x - 2)

y − 5 = −(x − 2)

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1 is the values are in the range of the function graphed below. Option E is corect.

The domain denotes all potential x values, while the range denotes the domain's possible y values.

The domain is the value of x which lies between the -2 ≤ x  ≤ 1.While the range shows the value of y which is equal to  1.

Hence, option E is correct

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The value of AOB and BOC based in the information given in the circle will be 53°.

From the information given, the central angle is the angle that the vertex is at the center of the circle.

It was stated that OB bisects AOC. Therefore, since AOB is 53°, BOC is also 53°.

The value of AOC will now be:

= AOB + BOC

= 53° + 53°

= 106°

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Answer:

(x - 8x)²

(x - 8x) (x - 8x).

using the identity

( a - b) ² = a² + b² - 2ab

a = x

b = 8x

x² + 64x - 16x²

The marked price of the projector is $50,000.

The price of the projector after the discount can be represented with:

(100 - 10%)x - 90%x = 0.90x

Where x is the marked price

The price of the projector after the VAT is : (1.13) x 0.90x = 1.02x

Difference in price = 1.02x - 0.90x = 5850

0.12x = 5850

x = 5850 / 0.12

x = $50,000

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Answer:

2400

Step-by-step explanation:

Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years

Solution

The formula for simple interest

S.I = P *R* T/100

Where P = Principal = 5000

           R = Rate = 16%

           T = Time = 3 years

 5000 * 16 * 3/100

 50 * 16 * 3

  = 2400.

Answer: You have already given the answer in the question! You can make a small shoe box.

The initial amount is $800.

Interest is the price you pay to borrow money or the cost you charge to lend money.

Given:

Simple interest = 1.25% = 0.0125

So, interest in half a year.

=0.0125 ÷ 2

= 0.00625

Now,

=5 / 0.00625

= 800

Hence, the initial deposit was $800

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Answer:

(0, 4) and (-1, 0)

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=2x^2+6x+4\\y=-4x^2+4\end{cases}[/tex]

Solve by substitution

Substitute the first equation into the second:

[tex]\implies 2x^2+6x+4=-4x^2+4[/tex]

Add 4x² to both sides:

[tex]\implies 2x^2+6x+4+4x^2=-4x^2+4+4x^2[/tex]

[tex]\implies 6x^2+6x+4=4[/tex]

Subtract 4 from both sides:

[tex]\implies 6x^2+6x+4-4=4-4[/tex]

[tex]\implies 6x^2+6x=0[/tex]

Factor out 6x from the left side:

[tex]\implies 6x(x+1)=0[/tex]

Therefore:

[tex]\implies 6x=0 \implies x=0[/tex]

[tex]\implies x+1=0 \implies x=-1[/tex]

To find the y-coordinates of the found x-values, substitute the found values of x into one of the equations:

[tex]x=0 \implies -4(0)^2+4=4 \implies (0,4)[/tex]

[tex]x=-1\implies -4(-1)^2+4=0\implies (-1,0)[/tex]

Therefore, the solutions to the system of equations are:

(0, 4) and (-1, 0)

Answer:

Solutions:

a) x = 0, y = 4 ⇒ (0, 4)

b) x = -1, y = 0 ⇒ (-1, 0)

Step-by-step explanation:

Given system of equations:

a) y = 2x² + 6x + 4

b) y = -4x² + 4

1. Substitute the value of y in the second equation into the first equation:

⇒ -4x² + 4 = 2x² + 6x + 4

2. Solve for x:

⇒ -4x² + 4 = 2x² + 6x + 4 [subtract 4 from both sides]

⇒ -4x² + 4 - 4 = 2x² + 6x + 4 - 4

⇒ -4x² = 2x² + 6x [subtract 2x² from both sides]

⇒ -4x² - 2x² = 2x² - 2x² + 6x

⇒ -6x² = 6x [subtract 6x from both sides]

⇒ -6x² - 6x = 6x - 6x

⇒ -6x² - 6x = 0 [factor out -6x from the equation]

⇒ -6x(x + 1) = 0

Two cases:

a)

⇒ -6x = 0 [divide both sides by -6]        

⇒ -6x ÷ -6 = 0 ÷ -6

⇒ x = 0

b)

⇒ x + 1 = 0 [subtract 1 from both sides]

⇒ x + 1 - 1 = 0 - 1

⇒ x = -1

3. Find the value of y by substituting the found x values into one of the given equations:

a) x = 0:

⇒ y = -4x² + 4

⇒ y = -4(0)² + 4

⇒ y = -4(0) + 4

⇒ y = = 0 + 4

⇒ y = 4

coordinate: (0, 4)

b) x = -1:

⇒ y = -4x² + 4

⇒ y = -4(-1)² + 4

⇒ y = -4(1) + 4

⇒ y = -4 + 4

⇒ y = 0

coordinate: (-1, 0)

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Answer:

No, it's not.

Answer:

18

Step-by-step explanation:

The exterior angles of any regular polygon add to 360°, so the answer is 360/20 = 18

[tex]\frac{log 25}{log 8}[/tex] is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

Given that, Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

We need to determine the expression did Devonte use.

The change of base formula says [tex]log_{a} b=\frac{log_{c}b }{log_{c}a}[/tex]. It means to change the base of a logarithm logb b a, we just use division [tex]\frac{log a}{log b}[/tex] where these logarithms can have any positive number as a base.

Now, log Subscript 8 Baseline 25 [tex]=log_{8}25[/tex]

[tex]=\frac{log_{10}25 }{log_{10}8}=\frac{log 25}{log 8}[/tex]

Therefore, [tex]\frac{log 25}{log 8}[/tex] is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

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Answer:

D

Step-by-step explanation:

The answer is y=|x|-13.

Answer:

y=|x|-13

Step-by-step explanation:

Answer:

finished this question is from matric it is very easy

Answer:

2/7

Step-by-step explanation:

To find the fraction that are cherry, take the number that are cherry and put that over the total number of pieces

2 cherry

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

7 total

The fraction that are cherry are 2/7

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:m\overbrace{DB}= 90 \degree[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex] \qquad \tt \rightarrow \: m \overbrace{DB} + m \overbrace{TB} = 180 \degree[/tex]

[ linear pair ]

[tex] \qquad \tt \rightarrow \: m \overbrace{DB} + 90 \degree = 180 \degree[/tex]

[tex] \qquad \tt \rightarrow \: m \overbrace{DB} = 180 \degree - 90 \degree[/tex]

[tex] \qquad \tt \rightarrow \: m \overbrace{DB} = 90 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞