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Answer:

120 m

Step-by-step explanation:

Width - x

Length - 5x

x*5x = 500m²

5x² = 500 m²

x²= 500 ÷ 5

x²= 100

x = root 100

x = 10

Therefore width = 10

length 5*10 = 50

Perimeter = 2(l+w)

= 2(10 + 50)

=2*60

=120

Answer:

x=17/9

Step-by-step explanation:

-7x-(-5-x)=-9(2x-1)

= -7x+5x+x= -18x+9

= -x= -18x+9

  +18x +18x

=17x=9

     x= 17/9

Hope this helps!

Answer:

-7x -(-5-x)=9(2x-1)

-7x+5x+x=18x+9

-x=-18x+18x

17x=9

x=17/9

Step-by-step explanation:

hopes this help

9514 1404 393

Answer:

  ±i

Step-by-step explanation:

  q² = -1

  q = ±√(-1) = ±i . . . . . . i is the name given to the square root of -1.

Given:

The graph of a line a.

To find:

The slope of the line a.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:

[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]

[tex]m=\dfrac{-3}{1}[/tex]

[tex]m=-3[/tex]

The slope of the line a is -3. Therefore, the correct option is C.

Answer:

1. the team of Liverpool FC has the shortest player because the minimum is 64.

2. ny Knicks has the tallest player with a height of 84.

3. the NY Knicks box has the largest IQR because 82 - 74 = 8.

MS. A is wrong bc the 75% of players are taller than 74 inches.

Step-by-step explanation:

Fun Fact that has nothing to do with this:

The Beatles meet in Liverpool.

Answer: 6r^3 - 15r

Step-by-step explanation:

(3r) (2r^2 - 5)

Distribute.

6r^3 - 15r

Hope this helped.

Answer: first 360 second 1080 third horizontal stretch

Step-by-step explanation:

The period of this parent cosine function [y=cos(x)] is equal to 360 degrees.

The period of a cosine function can be defined as the overall length of the interval of values on the x-axis over which a graph lies and it's repeated. Mathematically, the period of this parent cosine function [y=cos(x)] is given by:

T = 2π/A

Where:

When A = 1, we have:

T = 2π/1 = 360 degrees.

For the graphed function, the period of this cosine function is given by:

T = 6π

T = 6 × 360

T = 1080 degrees.

Read more on cosine function here: https://brainly.com/question/4599903

Answer:

[tex]\displaystyle 2[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2} \hookrightarrow \frac{\frac{2}{3}\pi}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{6}}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2cos\:\frac{\pi}{3}x + \frac{1}{2},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will horisontally shift and map the graph onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle 2\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle 2\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{2} = \frac{\frac{2}{3}\pi}{\frac{\pi}{3}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}.[/tex]Intermediate, we have two sine graphs to deal with [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{\pi}{3}x + \frac{1}{2}.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle \frac{1}{2}\:unit[/tex]to the left, which means that in order to match the leftward sine graph, we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{2}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{\frac{1}{2}} = \frac{\frac{\pi}{6}}{\frac{\pi}{3}}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-2\frac{1}{2}, \frac{1}{2}],[/tex]from there to [tex]\displaystyle [3\frac{1}{2}, \frac{1}{2}],[/tex]they are obviously [tex]\displaystyle 6\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = \frac{1}{2},[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

93

Step-by-step explanation:

(85 + 92 + 87 + 93 + 90 + x)/6 = 90

(447 + x)/6 = 90

multiply both sides of the equation by 6:

447 + x = 540

subtract 447 from both sides:

x = 93

Answer:720

Step-by-step explanation:Now let's imagine we are filling them with letters. There are six places we can put the first letter, so after we've placed one letter, we have six different outcomes.

There are then five remaining gaps for the second letter, so we have 5*6=30 different outcomes after two letters.

There are four spaces for the third letter, three for the fourth letter, two for the fifth letter and finally we have to put the sixth letter in the remaining gap.

So we end up with 6*5*4*3*2*1=720 ways to arrange six different letters.

This is called the factorial function, and is denoted by an exclamation mark. The factorial function is defined as the number of ways to arrange n different options and is calculated as n! = 1*2*3*…*(n-1)*n, with a extra bit that 0!=1 as there is one way to arrange a set of 0 objects (this comes into play later in statistics).

Step-by-step Answer/Explanation(answers are underlined and bolded):

okay, first you want to identify all the numbers and what they mean:

lawyers:235  (within the main number of lawyers: Criminal lawyers: 74)

Family doctors: 87

Sergeons: 30

From there, add up all of said numbers (ignore the Criminal lawyers for now):

235 + 87 + 30 = 352

(352 is going to be the denominator or the number that we are going to be dividing from.)

Next, we start answering the questions!

the first one is asking for the percent of sergeons.

To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:

30/352 = .0852

then multiply this by 100:

.0852 x 100= 8.52%

So the percent of sergeons is 8.52%

Next question: the percent of Family Doctors

so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:

87/352 = .2472

.2472 x 100 = 24.72%

Meaning the percent of family doctors is 24.72%

Criminal Law is next:

repeat the steps in the last couple of problems:

72/352 = .2045

.2045 x 100 = 20.45%

Family Law:

Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.

235 - 72 = 163

now repeat the steps from the earlier problems:

163/352 = .3864

.3864 x 100 = 38.64%

(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)

Answer:

[tex] \huge\red{\boxed{\mathfrak{Hello}}}[/tex]

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]10 + 10 \\ = 20[/tex]

Answer:20

Step-by-step explanation:

10+10=20

Answer:

Look at the image.

Step-by-step explanation:

Answer:

It is better to have a variety of plants because if the species of plants die out, the whole ecosystem becomes extinct.

Step-by-step explanation:

what about using 20-30-40-5

Step-by-step explanation:

the sequence is that you are skipping ten to get the second nb which is 30 and keep on going on to get 50

the answer is A I believe

Answer:

a = 100,000

b= 100,000

c = 10,000

d = 1,000

uhhh... a and b are the same... c and d are different.

Step-by-step explanation:

9514 1404 393

Answer:

  False

Step-by-step explanation:

The terms of a geometric series would have a common ratio. The terms of this series do not. (The differences increase by 1 each time, so it is a quadratic series.)

False, the series is not geometric.

Answer:

We are given with the series

6 + 8 + 11 + 15 + 20 + 26

Since

the series is increasing by +1. So, it will be not a geometric series

[tex] \\ [/tex]

Answer:

$8518.40

Step-by-step explanation:

FV = PV(1+r)^n

FV = future value

PV = present value

r = rate

n = # of years

Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4

Answer:

Step-by-step explanation:

180 = x + 135 + x + 65

-20 = 2x

-10 = x

x = -10

GF = 55°

Answer:

220 miles

Step-by-step explanation:

85-30=55

55/.25=220

220 = miles

Answer:

Equation:

30 + 0.25x = 85

Work:

30 + 0.25x = 85

85 - 30 = 55

55 / 0.25 = 220

Final answer:

200 miles

Step-by-step explanation:

Hope this helped and have a nice day!!!

Answer:

11/8 and 21/16

Step-by-step explanation:

3 x 1 = 3

4 x 2= 8

3/8+3/4(convert to eighth's)

3/8+6/8=11/8

1 1/8 = 9/8

9 x 1 = 9

8 x 2 = 16

9/16+3/4(convert to sixteenth's)

9/16+12/16

21/16

---

hope it helps

=3/4 × 1/2 + 3/4

=3/8 + 3/4

=9/8

2nd questions ans

=1×1/2 + 3/4

=1/2 + 3/4

=5/4

Answer:

10.35

Step-by-step explanation:

He has $300 (15x$20). He spends 144.75. He has 155.25 in total. That leaves 10.35 (155.25/15) to spend on each student.

Answer:

- 4

Step-by-step explanation:

The set of all possible value that would make the above statement true must be less than 4.

Therefore the only option we have is -4

If there are nine people in a square, then there will be 3 rows and 3 columns.

Because 3² = 9 or √9 = 3

Answer:

x<-4

Step-by-step explanation:

x+9<5

-9 -9

x<-4

1. subtract the 9 on both sides to have x alone

Answer:

5 items: 1 dog bone, 3 water bowls, 1 collar

4 Items: 3 Water bowls, 1 Box Of Dog Food

2 items: 1 box of dog food, 1 collar

The best estimate of the standard deviation of the population is 75

The given parameter is:

Sample size, n

The estimate of the standard deviation of the population is calculated using:

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

This gives

[tex]\sigma_x = \frac{\sigma}{\sqrt 25}[/tex]

Evaluate the square root

[tex]\sigma_x = \frac{\sigma}{5}[/tex]

Multiply both sids by 5

[tex]\sigma = 5\sigma_x[/tex]

From the normal curve, we have:

[tex]\sigma_x = 15[/tex] -- the difference between the scores

So,we have:

[tex]\sigma = 5 * 15[/tex]

[tex]\sigma = 75[/tex]

Hence, the estimate of the standard deviation of the population is 75

Read more about standard deviation at:

https://brainly.com/question/15858152