A farmer has 160 ft. of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fencing along the river.

a) What are the dimensions of the field that has the largest area?

b) What is the maximum area?

Answer:

Five units right and three units up.

If you notice there's a ' on the green triangle (a',b',c')

That means that the blue triangle was translated to get to the green triangle

Using the arrangements formula, it is found that 6 different orders of top-three finishers are possible.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, the possible orders are arrangements of 3 elements, hence, the number of orders is given by:

[tex]A_3 = 3! = 6[/tex]

More can be learned about the arrangements formula at https://brainly.com/question/25925367

#SPJ1

Answer:

4/10

2/5

6/15

Step-by-step explanation:

We can change all fraction to decimal :

2/10 = 0.2

1/10 = 0.1

4/10 = 0.4

2/5 = 0.4

4/5 = 0.8

6/15 = 0.4

Base on that we can see that 4/10, 2/5, and 6/15 are equal

~lenvy~

Answer:

Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.

the picture below is an example of what it looks like

WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.

the fact of existing outside the perceiving subject.

Answer:

Step-by-step explanation:

hope it will help you

Answer:

Step-by-step explanation:

x+ 2x + x +10 = 90

Combine like terms

          4x + 10 = 90

To isolate 'x', first subtract 10 from both sides

                 4x = 90 - 10

                 4x = 80

Now, divide both sides by 4 to get the value of 'x'

                    x = 80/4

                    x = 20

Answer:

  (a)  (x -6, y -2)

Step-by-step explanation:

You seem to want to see the inverse of the translation T, applied twice. Your notation seems to mean ...

  For T = (x, y) +(a, b)

  T⁻¹ = (x, y) -(a, b)   ⇒   T⁻² = (x, y) -2(a, b)

__

Your given transformation is ...

  T = (x, y) +(3, 1)

which means ...

  T⁻² = (x, y) -2(a, b) = (x, y) -2(3, 1)

  T ⁻² = (x -6, y -2)

Answer:

There is two simple equations one where you take out x as a comman factor and y as a common factor

Step-by-step explanation:

x(2x - 5y+ 2y squared)

Y(2x squared - 5x + 2y)

Sorry I don't know how to do the sqaure thingy but that's how you find two separate equations

Answer:

The second expression

Step-by-step explanation:

[tex]\sum_{n=3}^{20}{n(n+1)}=\sum_{n=3}^{20}{(n^2+n)}=\sum_{n=3}^{20}n^2+\sum_{n=3}^{20}n[/tex]

You can split up sums.

Answer:

SU=6

TU=6

ST=12

Step-by-step explanation:

SU and TU are equal because their hypotenuses are equal (10).

With this knowledge, you know that 2x+2=3x.

Subtracting 2x from both sides shows that x=2, so you can substitute that into the original line segment values in order to get 6 for both SU and TU. Double this to find the value of ST (12).

[tex]x = 4\\y = 3[/tex]

Question is [tex]5x^3 + 4y^3[/tex]

We know what [tex]x[/tex] and [tex]y[/tex] are.

[tex]5x^3 + 4y^3 = 5 \times 4^3 + 4 \times 3^3\\= 5 \times 64 + 4 \times 27\\= 320 + 108\\= 428[/tex]

The LSRL is the Least Squares Regression Line of the new engine design performance

This is the equation of the Least Squares Regression Line.

From the calculation summary, we have the following parameters:

So, the LSRL is:

y = 11.6559 + 3.47812x

Where y represents the predicted volume and x represents the weight.

In (a), we have:

y = 11.6559 + 3.47812x

Substitute 100 for x

y = 11.6559 + 3.47812 * 100

Evaluate

y = 359.4679

Hence, the predicted top speed when the weight is 100 tons is 359.4679

Read more about Least Squares Regression Line at:

https://brainly.com/question/24848242

Step-by-step explanation:

[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]

Answer:

2^3 x 2^1/2 = 2^7/2

Step-by-step explanation:

Law of indices state that:

a^n × a^y = a^n+y

root 2 is the same thing as 2^1/2

so we can write this equation as;

2^3 × 2^1/2 = 2^3+1/2 = 2^7/2

Answer:

Check this explaination below

Step-by-step explanation:

Check the attached picture

Answer:

392,730

Step-by-step explanation:

This increase will be over one year which will just be a 0.7% increase

to 390,000

0.7% of 390,000 is 2730

(0.007 * 390,000 = 2730)

390,000 + 2730 = 392,730

Or more simply we can add the increase in percentage to 1 for our multiplier

390,000 * 1.007 = 392,730

Answer:

f(x) = 6√7

Step-by-step explanation:

f{g(x)}=h(x)

f(7x+2)=6√7x+2

let y = 7x+2

x= (y-2)/7

f(x)= 6 √7(y-2)/7+2

Thus, f(x) =6√7

Answer:

√800 = 28 cm

Step-by-step explanation:

Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.

You now have 2a2=402.

Start solving it:

2a2=402

2a2=1600

(2a2)/2=1600/2

a2=800

√(a2)=√800

a=√800 cm

You can plug this back in to check your answer, and also be sure that a=b is true.

a2+b2=c2

(√800)2+(√800)2=c2

800+800=c2

1600=c2

√1600=√c²

40=c

Answer:

b

Step-by-step explanation:

It helps remove any forms of cholesterol from your blood strem.

Im supper sorry if i do not get it...

Answer:

66

Step-by-step explanation:

hello :

1 1/2 multiply 12 means : (11×12/2)= (11×6×2)/2 =66

Answer:

Mean=5, 77 Median=6 Mode=6 I hope this will help you

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]

where,

now, let's calculate circumference ~

[tex]\qquad \tt  \dashrightarrow \:c = 2 \times \pi \times 3[/tex]

[tex]\qquad \tt  \dashrightarrow \:c = 6 \pi \: \: yd[/tex]

Now, let's plug in approximate value of pi :

[tex]\qquad \tt  \dashrightarrow \:c = 6 \times 3.14 \: \: [/tex]

[tex]\qquad \tt \dashrightarrow \:c = 18.84 \: \: yd[/tex]

Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.

In a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?

Step-by-step explanation:

[tex]\pink{ \rule{0pt}{99999pt}}[/tex]

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Step-by-step explanation:

Answer:

circumference = 31.43 cm

Step-by-step explanation:

circumference = 2πr = 2 × 22/7 × 5 = 220/7

= 31.43 cm

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]

where,

now, let's calculate circumference ~

[tex]\qquad \tt  \dashrightarrow \:c = 2 \times \pi \times 5[/tex]

[tex]\qquad \tt  \dashrightarrow \:c = 10 \pi \: \: cm[/tex]

Now, let's plug in approximate value of pi :

[tex]\qquad \tt  \dashrightarrow \:c = 10\times 3.14 \: \: [/tex]

[tex]\qquad \tt \dashrightarrow \:c = 31.4\: \: cm[/tex]

Answer:

47.5m

Step-by-step explanation:

convert cm to metres 1.9cm×5=9.5m

Then times the side lengths with the amount of sides 9.5m×5=47.5m

We know that,

The surface of a cylinder is given by,

so,

the surface area of the given cylinder would be,