Can you help me with this?​

Answer:

[tex]\frac{a-3}{(a-2)(a-6)}[/tex]

Step-by-step explanation:

[tex]a^{2}-3a[/tex] has the common multiple of a. If you factor it out, you get [tex]a(a-3)[/tex].

[tex]a^3-8a^2+12a[/tex] also has a common multiple of a. Once factored, you get [tex]a(a^2-8a+12)[/tex]. This equation can be further factored to get [tex](a-2)(a-6)[/tex].

Put these two expressions over one another and you get  [tex]\frac{a-3}{(a-2)(a-6)}[/tex].

[tex]{\begin{tabular}{lll}\begin{array}{r|c|l}\text{Leaf (Ali)} & \text{Stem} & \text{Leaf (Kumar)}\\\cline{1-3} 7 & 4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 9\ 8 & 5 & 2\ 2\ 3\\ 5\ 5 & 6 & \\ 7\ 2\ 0 & 7 & 8\ 8\ 9\\ 9\ 9\ 8\ 4\ 3\ 3\ 3\ 1\ 1 & 8 & 2\ 2\ 4\ 5\\ 9\ 8\ 1 & 9 & 0\ 2\ 5\\ \end{array} \\\\ \fbox{\text{Key: 7} \big| \text{4} \big| \text{1 means 4.7 for Ali and 4.1 for Kumar}} \end{tabular}}[/tex]

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

Explanation:

The data set for Ali is

8.3, 5.9, 8.3, 8.9, 7.7, 7.2, 8.1, 9.1, 9.8, 5.8,

8.3, 4.7, 7.0, 6.5, 6.5, 8.4, 8.8, 8.1, 8.9, 9.9

which when on a single line looks like this

8.3, 5.9, 8.3, 8.9, 7.7, 7.2, 8.1, 9.1, 9.8, 5.8, 8.3, 4.7, 7.0, 6.5, 6.5, 8.4, 8.8, 8.1, 8.9, 9.9

Let's sort the values from smallest to largest

4.7, 5.8, 5.9, 6.5, 6.5, 7.0, 7.2, 7.7, 8.1, 8.1, 8.3, 8.3, 8.3, 8.4, 8.8, 8.9, 8.9, 9.1, 9.8, 9.9

Now lets break the data up into separate rows such that each time we get to a new units value, we move to another row

4.7

5.8, 5.9

6.5, 6.5

7.0, 7.2, 7.7

8.1, 8.1, 8.3, 8.3, 8.3, 8.4, 8.8, 8.9, 8.9

9.1, 9.8, 9.9

We have these stems: 4, 5, 6, 7, 8, 9 which represent the units digit of the values. The leaf values are the tenths decimal place.

For example, a number like 4.7 has a stem of 4 and leaf of 7 (as indicated by the key below)

This is what the stem-and-leaf plot looks like for Ali's data only

[tex]\ \ \ \ \ \ \ \ \text{Ali's data set}\\\\{\begin{tabular}{ll}\begin{array}{r|l}\text{Stem} & \text{Leaf}\\ \cline{1-2}4 & 7 \\ 5 & 8\ 9 \\ 6 & 5\ 5 \\ 7 & 0\ 2\ 7 \\ 8 & 1\ 1\ 3\ 3\ 3\ 4\ 8\ 9\ 9 \\ 9 & 1\ 8\ 9\\ \end{array} \\\\ \fbox{\text{Key: 4} \big| \text{7 means 4.7}} \\ \end{tabular}}[/tex]

The stem-and-leaf plot condenses things by tossing out repeated elements. Instead of writing 8.1, 8.1, 8.3 for instance, we can just write a stem of 8 and then list the individual leaves 1, 1 and 3. We save ourselves from having to write two more copies of '8'

Through similar steps, this is what the stem-and-leaf plot looks like for Kumar's data set only

[tex]\ \ \ \ \ \ \ \ \text{Kumar's data set}\\\\{\begin{tabular}{ll}\begin{array}{r|l}\text{Stem} & \text{Leaf}\\ \cline{1-2}4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 5 & \ 2\ 2\ 3\ \ \ \ \\ 6 & \\ 7 & 8\ 8\ 9 \\ 8 & 2\ 2\ 4\ 5\\ 9 & 0\ 2\ 5\\ \end{array} \\\\ \fbox{\text{Key: 4} \big| \text{1 means 4.1}} \\ \end{tabular}}[/tex]

Kumar doesn't have any leaves for the stem 6, so we will have that section blank. It's important to have this stem so it aligns with Ali's stem plot.

Notice that both stem plots involve the same exact set of stems (4 through 9 inclusive).

What we can do is combine those two plots into one single diagram like this

[tex]{\begin{tabular}{lll}\begin{array}{r|c|l}\text{Leaf (Ali)} & \text{Stem} & \text{Leaf (Kumar)}\\\cline{1-3} 7 & 4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 8\ 9 & 5 & 2\ 2\ 3\\ 5\ 5 & 6 & \\ 0\ 2\ 7 & 7 & 8\ 8\ 9\\ 1\ 1\ 3\ 3\ 3\ 4\ 8\ 9\ 9 & 8 & 2\ 2\ 4\ 5\\ 1\ 8\ 9 & 9 & 0\ 2\ 5\\ \end{array} \\ \end{tabular}}[/tex]

Then the last thing to do is reverse each set of leaves for Ali (handle each row separately). The reason for this is so that each row of leaf values increases as you further move away from the stem. This is simply a style choice. This is somewhat similar to a number line, except negative values aren't involved here.

This is what the final answer would look like

[tex]{\begin{tabular}{lll}\begin{array}{r|c|l}\text{Leaf (Ali)} & \text{Stem} & \text{Leaf (Kumar)}\\\cline{1-3} 7 & 4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 9\ 8 & 5 & 2\ 2\ 3\\ 5\ 5 & 6 & \\ 7\ 2\ 0 & 7 & 8\ 8\ 9\\ 9\ 9\ 8\ 4\ 3\ 3\ 3\ 1\ 1 & 8 & 2\ 2\ 4\ 5\\ 9\ 8\ 1 & 9 & 0\ 2\ 5\\ \end{array} \\\\ \fbox{\text{Key: 7} \big| \text{4} \big| \text{1 means 4.7 for Ali and 4.1 for Kumar}} \end{tabular}}[/tex]

The fact that Ali is on the left side vs Kumar on the right, doesn't really matter. We could swap the two positions and end up with the same basic table. I placed Ali on the left because her data set is on the top row of the original table given.

The thing you need to watch out for is that joining the stem and leaf for Ali means you'll have to read from right to left (as opposed to left to right). Always start with the stem. That's one potential drawback to a back-to-back stem-and-leaf plot. The advantage is that it helps us compare the two data sets fairly quickly.

Answer:

B! the answer is b!

Step-by-step explanation:

hope it heellpps! :>

Answer:

Option B

Step-by-step explanation:

Recreate the graph with a vertical intercept that is twice the value of the intercept shown in Figure 2 , because the angular velocity is increased from wy to 2wd . The slope of the line should be the same in both graphs , because the angular acceleration is the same in both graphs .

Answer:

5) 162

6) 61.6

Step-by-step explanation:

Area of triangle = [tex]\frac{1}{2} b*h[/tex]

Area of rectangle = w * l

5)

Left triangle Area  = [tex]\frac{1}{2} 4*3[/tex]

= 2*3

=6

Right triangle Area = [tex]\frac{1}{2} 7*8[/tex]

=[tex]\frac{56}{2}[/tex]

=28

Rectangle Area = 16*8 = 128

Total Area = 128+28+6 = 162

6)

12-10 = 2

base of each traingle is 2/2 = 1

Left triangle = right triangle =  [tex]\frac{1}{2} 5.6*1[/tex] = 2.8

Rectangle = 10*5.6 = 56

Total = 2.8+2.8+56 = 61.6

Answer:

A) 5 inches of snow.

B) The fourth quarter of the box plot.

C) The first quarter of the box plot.

Step-by-step explanation:

A) 5 inches because that's where the farthest line to the left reaches.

B) The info is most concentrated in the fourth quarter of the box plot.

C) The info is least concentrated in the first quarter of the box plot.

Assume we're measuring something using numerical quantities. We put a dot above that figure in the number line for each frequency of that object we observe.

As a result, the number of total dots in the dot plot corresponds to the entire number of measurements of the values of whatever we performed.

Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities.

A) Because the longest line to the left reaches that point, the measurement is 5 inches.

B) The fourth quadrant of the box plot contains the greatest information.

C) The initial quadrant of the box plot contains the least amount of information.

More about the dot plot link is given below.

https://brainly.com/question/22746300

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Answer: y=2.5x-8, the two points necessary to graph would be (2,-3) and (0,-8)

Step-by-step explanation: If the line passes thru (2,-3), let us plug in and find c. -3-2.5(2)=c

-3-5=c

c=-8 so y=2.5x-8

The line will represent the graph of the equation y=2.5x-8.

The two points necessary to graph would be (2,-3) and (0,-8).

The slope-intercept form is y=mx+c

If the line passes through (2,-3),

let us plugin and find c.

So we get,

[tex]-3-2.5(2)=c[/tex]

[tex]-3-5=c[/tex]

[tex]c=-8[/tex]

So, The equation of the line is y=2.5x-8.

To learn more about the equation visit:

https://brainly.com/question/2972832

Answer:

I Believe your answer is B, put all the numbers in order then find the middle number

Step-by-step explanation:

it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6,

[tex]\bold{Heya!}[/tex]

Because you will always have to put the numbers from the smallest, and to the Iargest/biggest Then you need to find the middle number and that's how you will get your answer from that point of view.

Hopefully This Helps ! ~

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[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

some common bacteria that causes tooth decay or cavities are streptococci,lactobacilli,and streptococcus sobrinus.

Step-by-step explanation:

hope this helped!

a. how much will you pay

b. A square meter costs P 145.75

c. multiplication

d. 146.75 × 102.3 (not sure)

e. P 15,017.25

Answer:

Never seen this before sorry can't help

Step-by-step explination:

Step-by-step explanation:

all answer doesn't adjust. please use the formula and do it. (h=height of cylinder and h1 =height of cone)

Answer:

2243.7 cm^2  to the nearest tenth.

Step-by-step explanation:

Total volume = volume of cylinder + volume of the cone

= πr^2h  + 1/3πr^2(59 - h)      where h is the height of the cylinder.

So 6622 = π(7)^2h + 1/3π(7)^2(59 - h)

49πh + 49/3 π * 59 -  49/3 π h = 6622

49πh - 49/3 π h = 6622 - 49/3 π * 59

h( 49π - 49/3 π) =  6622 - 49/3 π * 59

h = (6622 - 49/3 π * 59) / ( 49π - 49/3 π)

h = 35.026 cm = height of the cylinder.

So the height of the cone = 59 - 35.026 =  23.974.

Next we find the slant height of the cone (L).

L^2 =  7^2 + 23.974^2

=  623.753

L = 24.975

The surface area of the whole solid

= surface area of the exposed cylinder + lateral surface area of the cone

= πr^2 + 2π*h +  πrL

= π(7)^2 + 14π*35.026  + π(7)*24.975

= 2243.69 cm^2.

Answer: Sombody said it was b but i am not sure

Step-by-step explanation:

Answer:

Original price = $925

Step-by-step explanation:

Let P = original price

592 = p - 36%p

592 = p*(100%-36%)

592 = 0.64p

get p by it self so,

p = 592÷0.64

p = $925

Answer:

if breadth is in cm then area is 4000cm^2

Step-by-step explanation:

if breadth is in meter area is 40m^2

formula

area =lb

Answer:

Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

Step-by-step explanation:

Step 1:  Determine the price of the Orange juice

$3.25 per 0.5 gallon

($3.25 * 2) per (0.5 * 2) gallon

($6.50) per (1) gallon

Step 2:  Determine the price of the Peach juice

$4.50 per 1.5 quarts

$4.50 per 0.375 gallon

($4.50 * 2.667) per (0.375 * 2.667) gallon

($12.00) per (1) gallon

Answer: Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

The exponential function h(x) =3^x +4 is a growth function

The function's y-intercept is located at (0,5), and the function is true for all real values of x

The function is given as:

h(x) =3^x +4

Set x to 0

h(0) =3^0 +4

h(0) = 5

The above means that the function's y-intercept is located at (0,5)

Also, the function is true for all real values of x

Read more about exponential functions at:

https://brainly.com/question/11832081

Answer:

sa: 34cm2

Step-by-step explanation:

2x5 = 10

2x1 = 2

5x1 = 5

(10 + 2 + 5)2 = 20 + 4 + 10 = 34

Answer:

b

how far did you walk

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is b

Answer:

Least amount - 5 inches

Most concentrated - 3rd quarter (smallest area, more overlap)

Most spread-out - 2nd quarter (largest area)

Step-by-step explanation:

Answer:

Cant you just look this up??? No offense or anything.

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

3 of the vertical bars are highlighted out of the 10 total bars. 3/10 is equivalent to 0.3.

Answer:

2/5

Step-by-step explanation:

in 4/10, both the numerator (4) and denominator (5) are multiples of 2, as 4 = 2 * 2 and 10 = 2 * 5. thus, we can divide both the numerator and denominator by 2 to get

(4/2) / (10/2) = 2/5 as our answer.

Answer:

V≈366.52

Step-by-step explanation:

the method is photo sent above.

any comments I am here

Answer: 1

Step-by-step explanation:

9 - 3 ÷ 1/3 + 1 = 9 - 3 × 3/1 + 1

= 9 - 9 + 1 = 10 - 9 = 1.

' . , ' ' . , "-" & "+" . ' , ' .

. ^-^

Answer:

c

Step-by-step explanation:

Answer:

2311.68 dollars

Step-by-step explanation:

12 900  *  7  * .0256 =

London paid interest of $2311.68 at the end of the loan.

Simple interest is interest that is only calculated on the initial sum (the "principal") borrowed or deposited.

The basic simple interest formula looks like this:

Simple Interest = Principal Amount × Interest Rate × Time

Given,

Principal amount = $12900

Rate of interest = 2.56%

Time = 7 years

Simple interest = Principal amount × Rate of interest × Time

                         = ($12900 × 2.56 × 7)/100

                         = ($33024 × 7)/100

                         = $231168/100

Simple interest = $2311.68

Hence, $2311.68 is amount of interest London paid at the end of the loan.

Learn more about simple interest here:

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Try solving this like you would solve an equation, but just with an inequality sign.

What we want to do is isolate the variable [tex]x[/tex] through algebraic manipulation.

So if we have:

[tex]2x+8 < 3x-4[/tex]

[tex]x > 12[/tex]

After we subtract the [tex]2x[/tex] from the left side and add [tex]4[/tex] from the right side.

Hope this helps!