In whice of the pictures will the string form a knot if you pull on its ends?

Answer: negative slope

constant slope

decreasing function

B-C-E

Step-by-step explanation:negative slope

constant slope

decreasing function

The correct equation that has been shown by the graph is y<-2x+1. Option D

The term inequality refers to a mathematical statement that contains the inequality sign rather than the equality sign. Looking at the inequality sign, we know that the sign ought to be less than.

Thus, the correct equation that has been shown by the graph is y<-2x+1. Option D

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Answer: The correct equation that has been shown by the graph is y<-2x+1. Option D

What is inequality?

The term inequality refers to a mathematical statement that contains the inequality sign rather than the equality sign. Looking at the inequality sign, we know that the sign ought to be less than.

Thus, the correct equation that has been shown by the graph is y<-2x+1. Option D

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Step-by-step explanation:

Step-by-step explanation:

Use the Factor Theorem,

" if x-a is a factor of f(x), then f(a) =0,

So here, since x-3 is a factor then f(3)=0,

So first step, plug in 3 for x for the serperate equations.

[tex] {3}^{2} + ( p + q)3 - q = 0[/tex]

[tex]2(3) {}^{2} + (p - 1)3 + (p + 2q) = 0[/tex]

Simplify both equations,

[tex]9 + 3p + 2q = 0[/tex]

[tex]15 + 4 p + 2q = 0[/tex]

Isolate the constants,

[tex]3p + 2q = - 9[/tex]

[tex]4p + 2q = - 15[/tex]

We have a system of equations so let eliminate a variable, by subtracting the two equations.

[tex] - p = 6[/tex]

[tex]p = - 6[/tex]

Plug p back in for any one of the equations to find q.

[tex]3( - 6) + 2q = - 9[/tex]

[tex] - 18 + 2q = - 9[/tex]

[tex]2q = 4.5[/tex]

So p is -6

q is 4.5

Answer:

140 in^2

Step-by-step explanation:

Take the outside dimensions of the LARGE rectangle

11 x 17 = 187 in^2

 subtract the two corner cutout rectangles

    187 - 8x4   -  3 x 5   = 140 in^2

Diagram

Two lines are said to be parallel if and only if the value of the angle between them is [tex]180^{o}[/tex].

Thus the required proofs for each question are stated below:

6. A bisector is a line that divides a given line or angle into two equal parts.

Thus to prove that: AD ║BC

Given that: AC ⊥ BD, then:

BX ≅ DX (midpoint property of a line)

<ADX ≅ <DBX (alternate angle property)

<DAX ≅ <BCX (alternate angle property)

<AXD ≅ <BXC (vertical opposite angle property)

Also,

ΔAXD ≅ ΔBXC (congruent property of similar triangles)

Therefore, it can be deduced that;

AD ║BC

7. Given: CD ≅ CE

<B ≅ <D

proof: AB ║DE

<ABC  ≅EDC

Thus,

CB  ≅ CA (congruent property of similar triangle)

<BAC  ≅ <EDC (alternate angle property)

ABC  ≅ <DEC (alternate angle property)

Also,

CA ≅ CB (congruent side of similar triangles)

ΔABc ≅ ΔCDE (congruent property of similar triangles)

Thus,

AB ║DE (congruent property)

8. Prove: AB ║ DE

Given: <1 ≅ < 3

Then,

<1 ≅ <2 ≅ <3 ≅ [tex]90^{o}[/tex]

So that,

BC ≅ EF

also,

<1 + <2 = [tex]180^{o}[/tex] (supplementary angles)

Therefore it can be inferred that;

AB ║ DE (congruent property of parallel lines intersected by transversals)

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45 kilograms of meat is required to feed 2 pet dragons each day.

Amara needs 45 kilograms of meat to feed 2 pet dragons each day.

Unitary method is a mathematical way of deriving a single unit then obtaining the required units by multiplying it with the single unit.

According to the given question Amara needs 90 kilograms of meat to feed her 4 pet dragons each day.

Also given that each pet dragon eats the same amount of meat.

∴ 1 pet dragon eat 90/4 kilograms of meat which is

= 22.5 kilograms of meat.

So, Amara need (22.5×2) = 45 kilograms of meat to feet 2 pet dragons.

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The equation which can be used to find the length of EF is option A which is  EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].

Given the length of base of right angled triangle is 12 and the hypotenuse be 24.

We are to find the length of EF and tell which equation can be used to find the length of EF.

We know that pythagoras theorem applies in a right angled triangle.

Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.

[tex]H^{2} =B^{2} +P^{2}[/tex]

In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.

[tex](DE)^{2} =(EF)^{2} +(DF)^{2}[/tex]

EF=[tex]\sqrt{DE^{2}-DF^{2} }[/tex]

=[tex]\sqrt{(24)^{2} -(12)^{2} }[/tex]--1

=[tex]\sqrt{576-144}[/tex]

=[tex]\sqrt{432}[/tex]

Hence the equation which can be used to find the length of Ef is option A which is  EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].

Question is incomplete as it should include the figure also.

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The rectangular equation for given parametric equations x = 2sin(t) and   y = -3cos(t) on 0 ≤ t ≤ π is  [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and           y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is  [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]

The graph of the rectangular equation [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is  [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.

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The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex]

The value of a exists -4 and value of b exists -3.

The transformation T exists given as

[tex]$T:(x, y) \rightarrow(x+4, y+3)[/tex]

Let the transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x+a, y+b)$$[/tex]

If T and [tex]$T^{-1}$[/tex] exists inverses each other, then

[tex]$&T\left(T^{-1}(x)\right)=x \\[/tex]

[tex]$&T(x+a)=x \\[/tex]

[tex]$&x+a+4=x \\[/tex]

[tex]$&a=-4[/tex]

The value of a exists -4.

If T and [tex]$\mathrm{T}^{-1}$[/tex] exists inverses each other, then

[tex]$&T\left(T^{-1}(y)\right)=y \\[/tex]

[tex]$&T(y+b)=y \\[/tex]

[tex]$&y+b+3=y \\[/tex]

b = -3

The value of b exists -3.

The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex].

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Answer:

£218

Step-by-step explanation:

price of the car = £27000

reduce 30% = 30/100 x 27000 = £8100

£27000 - £8100 = £18900

£18900 - £8000 = £10900

installment per month = £10900/50 = £218

The correct option is B.

Natalie charges $1490 in rent for each home Per month.

Natalie charges $1490 in rent for each home.

Given that Natalie owns three homes, her monthly rent will be:

= $4470 (3 * 1490) dollars.

The annual income Natalie receives from her three homes is

=($12 * $4470)

= $53680.

Natalie spends $5850 a year on maintenance for each home.

The total amount Natalie spends annually to maintain her three homes is therefore:

=(3 * 5850) dollars, which comes to 17550 dollars.

Then Natalie's annual income would be

= [(53640 - 17550) dollars]

= 36090 dollars.

The total amount Natalie made over the course of seven years was

= ($7 * 36090)

=$252630

The correct option is B.

Natalie charges $1490 in rent for each home Per month.

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Answer:B) $252630

Step-by-step explanation:edge

Answer:

g = 4

Step-by-step explanation:

if 2 tangent segments are drawn to a circle from the same external point then they are congruent , that is

RJ = RW and MJ = MB and KB = KW

given MR = 6 , then

MJ = 6 - g = MB

given KM = 5 , then

KB = 5 - MB = 5 - (6 - g) = g - 1 = KW

given KR = 7 , then

RW = 7 - KW = 7 - (g - 1) = 8 - g

Then

RJ = RW , that is

g = 8 - g ( add g to both sides )

2g = 8 ( divide both sides by 2 )

g = 4

Answer: [D] 2(36-12)

Step-by-step explanation:

    First, we will simplify the given expression.

38 – 14 = 24

    Now, we will see if the other expressions are equivalent or not.

[A] 2(19-7) = 24

[B] 24 = 24

[C] (19-7)2 = 24

[D] 2(36-12) = 48

    The expression is NOT equivalent to the expression 38 – 14 is;

                   [D] 2(36-12)

Hi :)

Let's evaluate all these expressions

[tex]\boldsymbol{\boxed{38-14=24}}}[/tex]

  So Now the question boils down to --

What expression is NOT equivalent to [tex]\boldsymbol{24?}[/tex]

     [tex]\boldsymbol{2(19-7)}[/tex]

     [tex]\boldsymbol{2(12)}[/tex]

     [tex]\boldsymbol{24}[/tex]

Option (A) is ruled out, because we're looking for expressions that are not equivalent to 24.

   Well 24 is always equal to 24!

     [tex]\boldsymbol{(19-7)2}[/tex]

     [tex]\boldsymbol{(12)2}[/tex]

     [tex]\boldsymbol{24}[/tex]

    [tex]\boldsymbol{2(36-12)}[/tex]

     [tex]\boldsymbol{2(24)}[/tex]

     [tex]\boldsymbol{48}[/tex]

[tex]\tt{Learn\;More;Work\;Harder}[/tex]

:)

Answer:

sorry I don't know please forgive because I can't copy the question

Answer:

0.2857

Step-by-step explanation:

We want to determine,

The probability that the battery life is at least 11 hours is 0.2857.

28. 1.45l ÷ 0.32l = 4.53125

so approximately 5 glasses to leave the bottle empty

29. 5.6kg + 2.5kg = 8.1kg

8.1kg ÷ 0.48 = 16.875

he can make 16 complete doughs

there will be 0.875kg of flour left

The x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0) and the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)

The function is given as:

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

Set g(x) to 0, to determine the x-intercept.

-5(x - 3)^2 = 0

Divide through by -5

(x - 3)^2 = 0

Take the square root of both sides

x - 3 = 0

Add 3 to both sides

x = 3

Hence, the x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0)

The function is given as:

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

A quadratic function is represented as:

g(x) = a(x - h)^2 + k

Where, the vertex is

Vertex = (h, k)

By comparing g(x) = a(x - h)^2 + k and g(x) = -5(x - 3)^2, we have

(h, k) = (3, 0)

Hence, the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)

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Answer:

All answers are correct.

Step-by-step explanation:

Henry needs a total of 15 pints.

3 pints of yellow multiplied by 3 gives 9 pints of yellow, he needs 6 pints of red to get to 15, so he multiplies 2 pints of red by 3 to get 6 pints of red.

You add 9 + 6 to get the total of 15 pints he needs.

The Confidence interval for 95% who believes that the local businesses overcharge = (0.7026, 0.7574)

The range of values we see in our sample and hope to identify the value that most closely represents the population are referred to as a confidence interval.

Sample size n = 1000

73% of town residents believed that local businesses overcharged for their products over 1000 resident.

= (1000/100) x 73

= 730

Sample proportion p = 730/1000

                                    = .73

q = 1-p = 0.23

Std error of proportion = √(pq/n)

                                      = √((.73*0.27)/1000)

                                      = 0.0140

95% Z critical value = 1.96

Margin of error = 1.96*0.0140

                          = 0.0274

Confidence interval = sample proportion ±margin of error

(0.7026, 0.7574)

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for 5 bucks a plate its 39 for 6 bucks its 33

Step-by-step explanation:

Answer:

y + 8 = -4(x - 2)

Step-by-step explanation:

Point-slope form of an equation is a fill-in-the-blank, shortcut way to write an equation of a line. This is the format:

y - Y = m(x - X)

You just fill in the slope for m and fill in the point for the X,Y.

Just leave the first y; it stays a y and the first x in the parenthesis stays as an x. You just have to be careful with your minus and negative signs.

Slope is given as -4 so fill that in for m.

and put (2,-8) in place of the X and Y.

y - Y = m(x - X)

y - -8 = -4(x - 2)

y + 8 = -4(x - 2)

Done! Hope this helps!

Horizontal asymptote y = 1.

Find the horizontal asymptote of the function:

Horizontal asymptotes are the lines perpendicular to the y-axis and meet the curve at infinity.

Horizontal asymptote y = 1.

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Answer:

Step-by-step explanation:

B is the best answer

The number of combinations of balloons that can be chosen is 1716.

Selections and combinations are synonyms. Combinations represent the choosing of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them.

Utilizing the combinations formula, it is simple to determine how many distinct groups of r objects each may be created from the provided n unique objects.

Number of red balloons = 12

Number of blue balloons = 8

First, we figure out how to choose from 13 red and 9 blue balloons.

There are 7 balloons left out of the 29 total (i.e. 29 - 13 - 9)

So, n = 7+7-1

n = 13

r = 7

Number of combinations of balloons = [tex]_{13} C_{7}[/tex]

                                                               = 13!/(13-7)!7!

                                                               = 13!/6!7!

                                                               = 1716

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The percent is the new value of the house of the price they paid 20 years ago is 216.67%.

percent is the new value of the house = New price / Old price

= 520,000 / 240,000 × 100

= 2.16666666666666

= 216.666666666666%

Approximately,

percent is the new value of the house = 216.67%

Therefore, the percent is the new value of the house of the price they paid 20 years ago is 216.67%.

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The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

The image attached aside shows us a right triangle with two known side lengths (JL, KJ) and a angle measure (m ∠ K). The measure of the missing angle can be found by using the trigonometric function of cosine:

cos m ∠ J = KJ / JL

cos m ∠ J = 12 / 13

m ∠ J = 22.620°

The measure of the angle J within the triangle JKL is approximately 22.620°.

And the sine of the angle J, which helds the same positive sign than cosine as the angle is in the first quadrant on Cartesian plane, is:

sin m ∠J = √(1 - cos² m ∠J)

sin m ∠J = √[1 - (12 / 13)²]

sin m ∠J = 5 / 13

The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

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The measurements that are correct for the given triangle are

sin C = 9/15

B ≈ 53.13°

From the question, we are to determine which of the given trigonometrical ratios for the given triangle are correct

The given triangle is a right angle triangle

Using SOH CAH TOA

sin C = 9/15

∴ The option sin C = 9/15 is correct

Also,

Using SOH CAH CAH

tan B = 12/9

∴ The option tan B = 9/12 is NOT correct

To determine the measure of angle B (m ∠B)

From tan B = 12/9

Then,

tan B = 1.33333

B = tan⁻¹(1.33333)

∴ B ≈ 53.13°

Thus, the option B ≈ 53.13° is correct

Hence, the measurements that are correct for the given triangle are

sin C = 9/15

B ≈ 53.13°

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