The shape of Aden's backyard is shown below. He wants to use bug repellent around the perimeter of his backyard. How many bags of repellent will he need if each bagThe perimeter of the backyard Type your answerAlden will need type your answerbags of repellent

The correct pairs of the functions and their inverses are given by the image at the end of the answer.

To find the inverse function, we exchange x and y in the original function, then isolate y.

The first function that we want to find the inverse is:

f(x) = (2x - 1)/(x + 2).

Hence:

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

(y + 2)x = 2y - 1

xy + 2x = 2y - 1

xy - 2y = -1 - 2x

y(x - 2) = -1 - 2x

y = (-1 - 2x)/(x - 2) (which is the inverse function).

The second function which we want to find the inverse is:

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

Then:

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

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

-2yx + x = y + 2

-2yx - y = 2 - x

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

y = (x - 2)/(2x + 1)  (which is the inverse function).

The third function which we want to find the inverse is:

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

Then:

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

2yx + x = y - 1

2yx - y = -1 - x

y(2x - 1) = -1 - x

y = (-x - 1)/(2x - 1) (which is the inverse function).

The fourth function which we want to find the inverse is:

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

Then:

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

2yx - x = 2y + 1

2yx - 2y = 1 + x

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

y = (x + 1)/(2(x - 1)) (which is the inverse function).

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Answer:

Step-by-step explanation:

Answer:

Where's the image or question. or is it a test for the users?

Step-by-step explanation:

Step-by-step explanation:

what problem? I can't see any ?

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

The value is  \(P(X > 3.30) = 0.12405\)

Step-by-step explanation:

From the question we are told that

   The mean GPA is  \(\mu = 3.25\)

   The standard deviation is \(\sigma = 0.75\)

    The sample size is  n  =  300

Generally the standard error of mean is mathematically represented as

     \(\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }\)

=>   \(\sigma_{\= x} = \frac{0.75}{\sqrt{300} }\)

=>   \(\sigma_{\= x} = 0.0433\)

Generally the  probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as

     \(P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )\)

\(\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )\)

    \(P(X > 3.30) = P(Z> 1.155 )\)

From the z table the probability of  (Z >  1.155 ) is

     \(P(Z> 1.155 ) = 0.12405\)

   \(P(X > 3.30) = 0.12405\)

Answer:  33) b      34) a        35) none

Step-by-step explanation:

33)

Filling in the Venn Diagram (from Left to right, including outside of circles):

T only           = 13

(T ∩ F)only   =  6

F only           = 21

(T ∩ D) only  =  3

T ∩ F ∩ D     =  5

(F ∩ D) only  =  8

D only           = 15

(T ∪ F ∪ D)'    = 11  

   TOTAL      = 82

\(P(D'\cap F) = \dfrac{6+21}{13+6+21+3+5+8+15+11}\quad =\large\boxed{\dfrac{27}{82}}\)

34)

Red  = 26

Face  = 12

Red ∩ Face = 6

Total cards = 52

R ∪ F = R + F - (R ∩ F)

        = 26 + 12 - 6

        = 32

\(P(R\cup F)=\dfrac{R\cup F}{Total}\quad =\dfrac{32}{52}\quad \rightarrow \quad \large\boxed{\dfrac{8}{13}}\)

35) Note that the total is 34 + 17 + 8 + 3 + 9 + 4 + 5 = 80

I think the teacher made an error, if so, then the answer is "d".

\(P(C) = \dfrac{34+17+3+9}{Total} =\dfrac{53}{80}\quad \bigg(not\ \dfrac{34}{75}\bigg)\qquad \text{This is False.}\\\\\\P(S\cap T)=\dfrac{9+0}{Total}=\dfrac{9}{80}\quad \bigg(not\ \dfrac{12}{75}\bigg)\qquad \text{This is False.}\\\\\\\\P(C\cup T)\cup S = \dfrac{17+9+3+4}{Total}= \dfrac{33}{80}\quad \bigg(not\ \dfrac{38}{75}\bigg)\qquad \text{This is False.}\\\\\\P(C\cup T)\cap S'=\dfrac{34+17+8}{Total}=\dfrac{59}{80}\quad \bigg(not\ \dfrac{59}{75}\bigg)\quad \text{This is False.}\)

The coordinates of A' and B' include the following:

A' (4, 7).

B' (10, 9).

In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 2 centered at the point (6, 3) by using the following mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A', we have;

Coordinate A' = (5, 5)  →  (2(5 - 6) + 6, 2(5 - 3) + 3)

Coordinate A' = (5, 5)  →  (2(-1) + 6, 2(2) + 3)

Coordinate A' = (5, 5)  →  (-2 + 6, 4 + 3)

Coordinate A' = (5, 5)  →  (4, 7)

For coordinate B', we have;

Coordinate B' = (8, 6)  →  (2(8 - 6) + 6, 2(6 - 3) + 3)

Coordinate B' = (5, 5)  →  (2(2) + 6, 2(3) + 3)

Coordinate B' = (5, 5)  →  (4 + 6, 6 + 3)

Coordinate B' = (5, 5)  →  (10, 9)

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The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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the inductive step in her proof 1+2+3+…+k+(2k+1)=k2+(2k+1)=> 1+2+3+…+k+(2k+1)=(k+1)2…

a mathematician wishes to prove the following proposition using a proof by induction: the sum of the first n consecutive odd numbers equals n2. the following can be used as part of the inductive step in her proof:

We have:

1=12

true

1+3=4=22

true

1+3+5=9=32

true

We assume that for n=k

:

1+3+5+…+2k−1=k2…(1)

We will show that for n=k+1

:

1+3+5+…+2k−1+2(k+1)−1=(k+1)2=>

1+3+5+…+2k−1+2k+1=(k+1)2…(2)

We now add the term 2k+1

to both sides of (1)

and we take:

1+2+3+…+k+(2k+1)=k2+(2k+1)=>

1+2+3+…+k+(2k+1)=(k+1)2…(3)

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Answer:

Step-by-step explanation:

At least two sides have the same length.

At least two angles have the same measure.

The base angles (angles opposite the equal sides) have the same measure.

The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.

The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.

Based on these characteristics, the properties that belong to all isosceles triangles are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Therefore, the correct options are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

By using the principles of fractions, we can find out that the models represent the problem 3/4 × 3.

A number that represents a percentage of a whole serves as the mathematical representation of a fraction. Fractions can be thought of as any number, any amount, or a portion of an object.

A pizza that has been cut into eight equal pieces. The notation 1/8, which denotes that we are speaking of one portion out of 8 equally sized portions, can be used to refer to a single portion of the pizza.

It indicates one equal part in eight. Furthermore, it can be written as: 1/8

It will be written as 2/8 if we choose to have 2 portions of the pizza. Similar to how we would write 6/8 as a fraction if we were referring to 6 portions of this pizza.

Now here in the question, 3 parts are selected out of 4.

So that suggests it is 3/4.

As there are 3 circular models, so the representation will be as:

3/4 × 3.

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The measure of ∠M and ∠N = 76

An isosceles triangle is a triangle that has two sides of equal length and two equal angles opposite those sides.

Given:- ∠NLM = 28°

The given triangle is an isosceles triangle as sides LM and LN are equal.

Therefore ,∠LMN and ∠LNM will be equal.

Let us assume ∠M as x

Therefore,

∠LMN = ∠LNM = x

Sum of all angles of a triangle =180°

Therefore,

∠NLM + ∠LNM + ∠LMN = 180°

28 + x + x = 180

28 + 2x = 180

2x = 180 – 28

2x = 152

x = 152/2

x = 76

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The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  $4224

Step-by-step explanation:

An easy way to calculate the tax is using the simplified formula ...

  tax = (income × 0.054) -$96

  tax = $80000 × 0.054 -96 = $4320 -96 = $4224 . . . state tax on $80,000

__

Additional information can be found at ...

https://brainly.com/question/24664298

__

The tax table computation would be ...

  tax = (first bracket tax) + (second bracket tax) + (third bracket tax)

  tax = 2000 × 0.02 + (9000 -2000) × 0.05 + (80000 -9000) × 0.054

  = 80000 × 0.054 -9000(0.054 -0.05) -2000(0.05 -0.02)

  = 80000 × 0.054 -9000 × 0.004 -2000 × 0.03

  = 80000 × 0.054 - 36 - 60

  = 80000 × 0.054 -96

The process of going through the simplification is only useful if you need to make more than one tax calculation.

Answer:

♥♥♥

I tried solving this answer and got 25.2. So, I think you're answer will be 25.

Step-by-step explanation:

I divided 63 by 2.5. Hope I helped.

The monthly payment for the $11,000 loan for 6 years with an annual interest rate of 3.1% is $181.20.

From the information, we have a $11,000 loan for 6 years with an annual interest rate of 3.1%. The interest will be:

= Principal × Rate × Time.

= $11000 × 3.1% × 6.

= $2046

The monthly payment will be:

= ($11000 + $2046) / (6 × 12)

= $13046 / 72

= $181.20

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Step-by-step explanation:

Hey there!

See explanation in picture.

Hope it helps....

Answer:

3x³ - 18x² + 26x - 8

Step-by-step explanation:

(x - 4)(3x²- 6x + 2) =

= x*3x² + x*(- 6x) + x*2 + (-4)*3x² + (-4)*(-6x) + (-4)*2

= 3x³ - 6x² + 2x - 12x² + 24x - 8

= 3x³ - 18x² + 26x - 8

Answer:

Step-by-step explanation:

Alberto traveled v km/h.

After 1 hour they are v km apart.

Danielle travels (v+10) km/h.

The distance between them decreases by 10 km/h.

They meet in 5 hours, after Danielle has traveled 5v+50 km and Alberto has traveled 6v km.

6v = 5v+50

v = 50 km/h

Alberto travels 50 km/h

Step-by-step explanation:

(7m - 3)² = 49m² - 42m + 9

play it through and do the actual multiplication behind the square :

(7m - 3)² = (7m - 3)(7m - 3) =

= 7m×7m + 7m×(-3) + (-3)×7m + (-3)(-3) =

= 49m² - 2×21m + 9 = 49m² - 42m + 9

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

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

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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Answer:

the answer should be 1,600,000

Step-by-step explanation:

hope this helps ya!!

Answer:

Step-by-step explanation:

1,5x0,000   x holds the place that you'll want to note if it's 5 or larger, to determine if you round up or down.   Because in the problem you've been given, it's an 8,   so round up

1,600,000  is the answer then.  

The number the spinner is most likely to land on is 2

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

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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Answer:

F = 1/5

Step-by-step explanation:

The division expression is (5x³ - 22x² - 17x + 11)/(x - 5) = 5x² + 3x -  2 + (2/(x - 5))

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

(5x³ - 22x² - 17x + 11)/(x - 5)

Using a synthetic setup, we have

x - 5 = 0

This gives

x = 5

So, the set up becomes

5 | 5   -22   -17   11

The synthetic division is then carried out as follows

5 | 5   -22   -17   11

           25   15   -10

     5     3     -2   1

So, we have

Quotient = 5   3   -2

Remainder = 1

Introduce the variable

Quotient = 5x² + 3x -  2

Remainder = 2

Hence, the quotient is 5x² + 3x -  2 and the remainder is 2

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Step-by-step explanation:

Horizontal it is 4

Vertical it is 2

Use of Pythagoras theorem to find AB

AB= root of 4^2 + 2^2

= 4.47

The points= (3,2) and (7,5)

Distance =

\( \sqrt{ ({x}^{2} - x {}^{1} ) {}^{2} + ({ y}^{2} - y {}^{1} ) {}^{2} } \)

=

\( \sqrt({4} - 9) {}^{2} + (5 - 7) {}^{2} \)

=

\( \sqrt{25 + 4} \)

=

\( \sqrt{29} \)

\(5.39\)

5.39 is the answer