Suppose Xinwei want to put a fence around a rectangular field, where the width (w) is three times the length (l). Give an expression for the perimeter of the field in terms of its length (l).

Answer:

[tex](a)\ \{SSS\}[/tex]

[tex](b)\ \{FSSS\}[/tex]

[tex](c)\ \{FFSSS, SFSSS\}[/tex]

[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

Step-by-step explanation:

Given

[tex]S\to[/tex] Success

[tex]F\to[/tex] Failure

[tex]n \to 3[/tex] Consecutive trials until S happens

[tex]Y \to[/tex] Number of trials

For every possible outcome, the last 3 must be SSS. So, we have:

[tex](a)\ Y = 3[/tex]

The only possibility here is: [tex]\{SSS\}[/tex]

because 3 trials implies that all outcomes must be S.

[tex](b)\ Y = 4[/tex]

The only possibility here is:

[tex]\{FSSS\}[/tex]

because 4 trials implies that the first outcome must be F

[tex](c)\ Y = 5[/tex]

The possibilities are:

[tex]\{FFSSS, SFSSS\}[/tex]

because 5 trials implies that the first and the second outcomes must be FS or SF.

[tex](d)\ Y = 6[/tex]

The possibilities are:

[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

because 6 trials implies that the first three outcomes are: FFF, SSF and SFF

[tex](e)\ Y = 7[/tex]

The possibilities are:

[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))

Answer:

4

Step-by-step explanation:

2m−13=−8m+27

2m+8m=27+13

10m=40

m=40÷10

Therefore, m=4

Answer:

2m - 13 = -8m +27

2m + 8m = 27 + 13

10m = 40

m = 4

Answer:

A. 4

Step-by-step explanation:

364/89 = 4.089

4.089 estimated to 4

Answer:

The answer is 6

Step-by-step explanation:

4 (3) - 6

12 - 6

= 6.

Answer: 1,152 notebooks

Step-by-step explanation:

You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)

Answer:

C + 1 < 3 is not equivalent.

Step-by-step explanation:

B - 1 < 2 ⇒ B < 3

C + 1 < 3 ⇒ C < 2

D - 2 < 1 ⇒ D < 3

Therefore, all inequalities are equivalent except C + 1 < 3.

Answer:

parallel

Step-by-step explanation:

If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

========================================================

Explanation:

This is due to the converse of the corresponding angles theorem.

Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.

The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.

Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.

Check out the image below to see an example of what I mean.

Answer:

Step-by-step explanation:

radius=diameter/2

=9/2

=4.5

Answer:

4.5

Step-by-step explanation:

9= diameter and Radius= diameter divided by 2

9 divided by 2 = 4.5

Answer:

13

Step-by-step explanation:

42 - (32 + 4) + 7 =

42 - 36 + 7 =

13

Answer:

15.

Step-by-step explanation:

Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.

I hope this helped, have a nice day.

Answer:

29.2 metres squared

Step-by-step explanation:

because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.

now we just use the area formula to solve.

Area = Length × Width = 7.3 × 4 = 29.2 metres squared

Answer:

X + (X + 2) = 52

Step-by-step explanation:

Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:

X + (X + 2) = 52

2X + 2 = 52

X = (52 - 2) / 2

X = 50/2

X = 25

X + 2 =?

25 + 2 = 27

Therefore, the consecutive odd integers are 25 and 27.

2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:

p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).

The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively

h(x) = 6 – x

h(10) = 6 - 10

= -4

If

p(x) = 2x² - 4x

q(x) = x - 3

(pºq)(x)

= (2x² - 4x) (x - 3) × 4

= 2x² - 16x + 18

Learn more about equation:

https://brainly.com/question/2972832

Answer:

180° - 130 = 50°

Step-by-step explanation:

Assuming they are adjacent: 180° - 130 = 150°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

4(1/4) + 3/8 + 3(1/2) + 5/8 + 3/4

1 + 8/8 + 3/2 + 3/4

1 + 1 + 12/8 + 6/8

2 + 18/8

2 + 2 1/4

= 4 1/4 pounds

Answer:

Hello! answer: 175 cm2

Step-by-step explanation:

9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126

7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it

Answer:

53°

Step-by-step explanation:

angle 1 = ½×( 50+56) = ½×106 = 53°

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

[tex]y=A\sin\left(B(x-C)\right)[/tex]

Amplitude: [tex]|A|[/tex]

Period: [tex]\frac{2\pi}{B}[/tex]

Phase Shift:  C

In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]

Amplitude: 4

Period: [tex]\frac{2\pi}{2}=\pi[/tex]

Phase Shift: [tex]\frac{3\pi}{4}[/tex]

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

Answer:

the height is 6 units

Step-by-step explanation:

Given that

The area of the parallelogram is 54 units squared

The base is 9 units

We need to find out the height

As we know that

The area of the parallelogram = Base × height

54 =  9 × height

So, the height is

= 54 ÷ 9

= 6 units

Hence, the height is 6 units

Answer:

You can only find the height if you know the length.

Step-by-step explanation:

Have a good day.

Answer:

The answer is 489

Answer:

four hundred eighty-nine

Step-by-step explanation:

I multiplied 3 quarters times 652

Answer:

y= x/2-5

Step-by-step explanation:

Answer:

y=x²+7

Step-by-step explanation:

I'm pretty sure this is the answer

assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400

Answer: B

Step-by-step explanation:

Good Luck!

Answer:

letter A

Step-by-step explanation:

This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.

Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5

So, 13.5+22.5=36, or letter A

Answer:

change your pfp and ill give u the answer

Step-by-step explanation:

Answer:

x = 17.5 degrees

Step-by-step explanation:

So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.

2x+10 = 45

Move over the 10

2x = 35

Divide by 2

x = 17.5 degrees

That's all.

Answer:

thanx for the reminder

Step-by-step explanation:

have a wonderful day :)

Answer:

always, feasible

Step-by-step explanation:

In a linear programming problem we find the extreme value of the linear function which is subjected to some certain constraints.

When the [tex]\text{ maximization linear programming}[/tex] consists of all the [tex]\text{less than or equal}[/tex] to constraints having the all positive coefficients and the objective functions consisting of all the objective function coefficient that is positive, then we can round the linear programming optimal solution values from the decision variables will [tex]\text{always}[/tex] result in the [tex]\text{feasible}[/tex] solution to the integer linear programming problem.

Answer:

1045 ft³ of water

Step-by-step explanation:

Given :

Length = 20 feets

Width = 9 1/2 feets

Height = 5 1/2 feets

The maximum of water the pool can hold is equivalent to the volume of the pool ;

Hence, Volume = Length * width * height

Volume = 20 * 9 1/2 * 5 1/2

Volume = 1045 ft³ of water

Answer:

4/5

Step-by-step explanation:

1/2 ÷6=4/5