Michael would like to build a fence around his paddock.
The diagram is not to scale.
5
4
X
V
Find a simplified expression for the perimeter of his paddock.

Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

Learn more about Graphs and inequality here,

brainly.com/question/16608196

brainly.com/question/17448505

Answer:

D)  12 1/2 miles

Step-by-step explanation:

you can create a proportion for inches over miles equals inches over miles

(3/4 ÷ 15/2) = (5/4 ÷ m)

cross-multiply to get:

3/4m = 75/8

cross-multiply again:

24x = 300

x = 12 1/2

Answer:

1.) Reflection over y=1

2.) Translation rule: (x-5, y-3)

3.) Reflection over the y axis

4.)Translation rule: (x-4, y+1)

Step-by-step explanation:

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Answer and Step-by-step explanation:

15.  \(-\frac{27}{20}\) or \(-1\frac{7}{20}\)

-1.35 = -135/100 = \(-1\frac{35}{100}\)  (Mixed number)

Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).

-1.35 x 100 = -135

\(-\frac{135}{100}\) = \(-\frac{27}{20}\)

(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)

18. \(\frac{49}{11}\) or \(4\frac{5}{11}\)

4.45 = 49/11 = \(4\frac{5}{11}\)

4.4545.....

Multiply the number by 100 (because there is 2 numbers being repeated.

445.4545....

Now subtract by the original number.

445.4545....

-   4.4545....

441.00

Write this as an equation:

(100 x fraction) - fraction = 441           (100 x fraction) - fraction = 99 x fraction

99 x fraction = 441   (Divide both sides by 99)

fraction = \(\frac{441}{99}\) (which simplifies down to \(\frac{49}{11}\))

#teamtrees #PAW (Plant And Water)

Answer:

B. x is 80

Step-by-step explanation:

x and 100 are even co-interior angles which add up to 180.

x+100=180

x=180-100

x=80

Answer:

18) a^5b^-3c

19) -3xy^1z^-2

20) -5r^4s^-2t^-3

Answer:

10

Step-by-step explanation:

1.25 each song

she bought 8 songs

1.25 x 8 = 10

10-20 = 10

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

5x^2(2x-7)

Step-by-step explanation:

Hope this helps!

An example of an optimistic explanatory style would be viewing a bad grade on a test as something that doesn't often happen, will probably not affect your final grade, and is probably because you did not get enough sleep the night before the test.

An optimistic explanatory style involves interpreting negative events or outcomes in a positive and constructive manner. It involves attributing the causes of negative events to external, temporary, or specific factors rather than internal, permanent, or global factors.

In the given example, option (a) demonstrates an optimistic explanatory style. It suggests that the bad grade on the test is not a common occurrence ("something that doesn't often happen"), indicating that it is viewed as an isolated incident. Furthermore, it minimizes the impact of the bad grade by stating that it will probably not affect the final grade. Instead of attributing the cause to personal incompetence or intelligence.

Learn more about factors here:

https://brainly.com/question/14549998

#SPJ11

The equation of the ellipse in standard form, centered at the origin, with vertices (±13,0) and foci (±12,0), is: x^2/169 + y^2/25 = 1

To find the equation of an ellipse in standard form centered at the origin, we can use the following equation:

x^2/a^2 + y^2/b^2 = 1

where (a,0) are the coordinates of the vertices and (c,0) are the coordinates of the foci.

Given that the vertices are (±13, 0) and the foci are (±12, 0), we can determine the values of a and c as follows:

The distance between the origin and the vertices is equal to the value of 'a', so a = 13.

The distance between the origin and the foci is equal to the value of 'c', so c = 12.

Now we can substitute these values into the equation to obtain the final equation:

x^2/13^2 + y^2/b^2 = 1

Since the ellipse is centered at the origin, the value of 'b' would be equal to the square root of (a^2 - c^2):

b = √(13^2 - 12^2) = √(169 - 144) = √25 = 5

Therefore, the equation of the ellipse in standard form, centered at the origin, with vertices (±13,0) and foci (±12,0), is:

x^2/169 + y^2/25 = 1

learn more about ellipse here

https://brainly.com/question/20393030

#SPJ11

Answer:

1.) A. 8/9

2.) C. 4/9

3.) B. 7/11

4.) D. 10/3

5.) C. 0.06 (repeating)

Step-by-step explanation:

the dimensions of the rectangular garden are 55 ft by 60 ft.

Let's assume that the width of the rectangular garden is x ft. Then, according to the problem, the length is 5 ft longer than the width, which means the length is (x+5) ft.

The area of a rectangle is given by the formula A = length × width. In this case, we know that the area is 3300 ft². So we can set up the following equation:

3300 = x(x+5)

Expanding the right-hand side, we get:

3300 = x²2 + 5x

Now, we can rearrange this equation into a standard quadratic form, by moving all the terms to one side:

x²2 + 5x - 3300 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b²2 - 4ac)) / 2a

where a = 1, b = 5, and c = -3300.

Plugging in these values, we get:

x = (-5 ±√5²2 - 4(1)(-3300))) / 2(1)

x = (-5 ±√(13625)) / 2

x = (-5 ± 115) / 2

We can discard the negative solution, since the width of the garden cannot be negative. Therefore, we have:

x = (-5 + 115) / 2

x = 55

So the width of the garden is 55 ft. And the length is:

x + 5 = 55 + 5 = 60

Therefore, the dimensions of the rectangular garden are 55 ft by 60 ft.

To know more about Rectangle related question visit:

https://brainly.com/question/29123947

#SPJ11

The function that models the total attendance a (in thousands) at NCAA women's basketball games and the number t of NCAA women's basketball teams over a period of time can be expressed as:

a = 5t + 200 thousands.

The total attendance a (in thousands) at NCAA women's basketball games and the number t of NCAA women's basketball teams over a period of time can be modeled by a function of the form a = kt + b.

where k and b are constants.

Let's determine the slope and y-intercept using the given information: a = kt + b

Given: a = 200 thousand and t = 5 teams

Substitute these values into the equation: a = kt + b200 thousand = 5k + b

The equation can be rewritten as: b = 200 thousand - 5k

We know that b represents the y-intercept,

so when t = 0, the attendance is given by b (in thousands).

Therefore, b represents the initial attendance at the start of the period of time in question.

To find the value of b, substitute t = 0 into the equation:

b = 200 thousand - 5(0) = 200 thousand.

For similar question on function.

https://brainly.com/question/10439235

#SPJ11

Answer:

15

Step-by-step explanation:

Answer:

Line c

Step-by-step explanation:

y=\(\frac{x}{2}\)

Answer: We need more information. I can't solve this with no info.

Step-by-step explanation:

Yes, there is a chance that the bottled water you are drinking is just tap water packaged in a bottle. According to a study by the Natural Resources Defense Council, 25% of bottled water is just tap water that has been packaged in a bottle. [Scientific American, July 2003]

Bottled water is drinking water that has been packaged in bottles or containers for sale. Bottled water can come from a variety of sources, such as municipal supplies, springs, wells, and other sources. In some cases, bottled water is treated or purified to remove impurities and contaminants. However, not all bottled water is purified or treated, and some may be just tap water that has been packaged in a bottle.

Purified water is water that has been treated to remove impurities and contaminants. Purified water can come from any source, including municipal supplies, wells, and other sources. Purification methods may include filtration, reverse osmosis, distillation, or other methods. Purified water is commonly used in medical and industrial applications, as well as in homes for drinking and cooking.

See more about bottled water at: https://brainly.com/question/30835167

#SPJ11

The probability that both of his kids are boys are 1/3.

If a man has 2 kids, the possible combinations of kids are:

There are 4 possible combinations of the sexes of the two kids.

The fourth possibility is impossible, because one of the kids is a boy. So it can't be both girls. Then the possible combinations are:

The number of combinations of the both kids are boys = 1

The number of combinations that minimum one kid is boy = 3

Then the probability that both of kids are boys are:

\(P_{both boy}=\frac{both boy}{minimal one boy} \\P_{both boy}=\frac{1}{3} \\\)

So the probability both of kids are boy is 1/3.

Learn more about probability here: https://brainly.com/question/17089724

#SPJ4

The discriminant of the quadratic equation is -20 and there are two non real solutions.

The discriminant of a quadratic equation uses the equation:

\(b^{2} -4ac\)

Where the value of this calculation can tell you what solutions there are, plug known values in:

\(x^{2} +6x+14\)

a=1

b=6

c=14

\(b^{2} -4ac\)

which is equal to -20 on putting the values of a,b and c in the equation

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

For more information about discriminant, visit https://brainly.com/question/2507588

#SPJ1

Step-by-step explanation:

\( sum \: of \: interior \\ \: angels \: is  \: 2340 \:  degrees. \\

(n−2)⋅180=2340 \\

180n - 360=2340 \\ 180n = 2700 \\

n=15 \\

number \: of \: sides=15\)

the polygon is 15 sided.

The rate of the reaction is 0.02 M/s

The rate of a chemical reaction is defined as the rate of change in concentration of a reactant or product divided by its coefficient from the balanced equation.

Given that, for reaction A + 2B → 3C, the rate of change of C is found to be 0.06 M/s, we need to find the rate of the reaction.

Rate of reaction =

-d[A] / dt = 1/2 d[B] / dt = 1/3 d[C] / dt

-d[A] / dt = 1/3 d[C] / dt = 0.02 M/s

1/2 d[B] / dt = 1/3 d[C] / dt = 3/2 × 0.06 = 0.09 M/s

Rate = 1/3 d[C] / dt

= 1/3 × 0.06 = 0.02 M/s

Hence, the rate of the reaction is 0.02 M/s

Learn more about rate of reaction, click;

https://brainly.com/question/15394537

#SPJ1

The Internal Rate of Return (IRR) is the discount rate at which the net present value (NPV) of an investment becomes zero. In this case, we need to calculate the IRR when the cost of capital is 14%. To find the IRR, we can use the PV formula from Chapter 4.

Here is the step-by-step explanation:
1. First, determine the cash flows associated with the investment. If there are multiple cash flows, consider the initial investment as a negative cash flow and subsequent cash flows as positive.
2. Calculate the present value (PV) of each cash flow using the formula: PV = CF / (1 + r)^n, where CF is the cash flow, r is the discount rate (in this case, 14%), and n is the time period.
3. Sum up all the present values of the cash flows to find the net present value (NPV). If the NPV is positive, increase the discount rate; if the NPV is negative, decrease the discount rate.

4. Repeat steps 2 and 3 until the NPV becomes close to zero. The discount rate at this point is the Internal Rate of Return (IRR).
In summary, to find the IRR when the cost of capital is 14%, we need to calculate the net present value (NPV) using the PV formula for the cash flows associated with the investment. We then adjust the discount rate until the NPV becomes close to zero, which will give us the IRR.
Remember to format your answer properly by giving the IRR in percentage format, to one decimal place, and without the percentage sign. For example, 6.2, 10.9, or 47.6.

To know more about cash flows refer to:

https://brainly.com/question/735261

#SPJ11

Answer:

405 in^2

Step-by-step explanation:

Given data

Height= 27in

Circumference= 47.1 in

let us find the radius and the diameter of the base of the cylinder

from

C=2πr

47.1= 2*3.142*r

47.1= 6.284r

r= 47.1/6.284

r= 7.5 in

Diameter= 2r

D= 7.5*2

D= 15in

Hence the area of the cross-section

=H*D

=27*15

=405 in^2

The union of the sets is E ∪ F = (-∞, 3] or (6, ∞) and the intersection of the sets E ∩ F =  ∅ (null sets) is in interval notation.

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have:

E and F are sets of real numbers defined as follows. E={v | v ≤ 3} F={v | v > 6}

E ∪ F = (-∞, 3] or (6, ∞)

E ∩ F =  ∅ (null sets)

Thus, the union of the sets is E ∪ F = (-∞, 3] or (6, ∞) and the intersection of the sets E ∩ F =  ∅ (null sets) is in interval notation.

Learn more about the set here:

https://brainly.com/question/8053622

#SPJ1

If a red ball is drawn at random from one of the urns, there is a higher probability (2/3) or 0.667 that it came from Urn A rather than Urn B. This suggests that Urn A is more likely to be the source of the red ball.

To calculate the probability that Urn A was chosen given that a red ball was drawn, we can use Bayes' theorem.

Let's denote the events:

A = Urn A was chosen

B = Urn B was chosen

R = A red ball was drawn

We want to find P(A|R), the probability that Urn A was chosen given that a red ball was drawn.

According to Bayes' theorem:

P(A|R) = (P(R|A) * P(A)) / P(R)

P(R|A) is the probability of drawing a red ball given that Urn A was chosen. Since Urn A has four red balls and four black balls, the probability of drawing a red ball from Urn A is 4/8 = 1/2.

P(A) is the prior probability of choosing Urn A, which is 0.5 since there is an equal chance of selecting either Urn A or B.

P(R) is the overall probability of drawing a red ball, which can be calculated by considering all possible scenarios:

P(R) = P(R|A) * P(A) + P(R|B) * P(B)

P(R|B) is the probability of drawing a red ball given that Urn B was chosen. Since Urn B has two red balls and six black balls, the probability of drawing a red ball from Urn B is 2/8 = 1/4.

P(B) is the prior probability of choosing Urn B, which is also 0.5.

Substituting the values into the equation:

P(R) = (1/2) * (1/2) + (1/4) * (1/2) = 3/8

Now we can calculate P(A|R) using Bayes' theorem:

P(A|R) = (P(R|A) * P(A)) / P(R) = (1/2 * 1/2) / (3/8) = 4/6 = 2/3

Therefore, the probability that Urn A was chosen given that a red ball was drawn is 2/3 or approximately 0.667.

In conclusion, if a red ball is drawn at random from one of the urns, there is a higher probability (2/3) that it came from Urn A rather than Urn B. This suggests that Urn A is more likely to be the source of the red ball.

To know more about probability refer here:

https://brainly.com/question/32576061#

#SPJ11

Answer:

Step-by-step explanation: