Please show work
I just need long division, I got synthetic division done .

Please Show WorkI Just Need Long Division, I Got Synthetic Division Done .

Answers

Answer 1

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Please Show WorkI Just Need Long Division, I Got Synthetic Division Done .
Please Show WorkI Just Need Long Division, I Got Synthetic Division Done .
Answer 2

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 

STEP 2:

Equation at the end of step  2

:

 

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

 

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

 

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

   

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D


Related Questions

What is an equation of the line that passes through the points (2, -7)(2,−7) and (2, -2)(2,−2)

Answers

Answer:

X = 2

Step-by-step explanation:

Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0

The line is vertical (undefined

34.16 divided by 2 step by step ?

Answers

Answer:

17.08

Step-by-step explanation:

Basically, this is half of 34.16, which is 17.08.

Hoped this helped.

Answer:

427/25

Step-by-step explanation:

Change to percentage: 3416/100

Simplify: 854/25

854/25 dived by 2/1 (same thing as 2)

KEEP, CHANGE, FLIP

854/25 x 1/2= 427/25

12÷5/2=
Tell the answer quick!!

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

mark braineist pls

A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.

(I) If there were x 20c coins, write an equation in x for the number of 50c coins.

(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.

(iii) Solve the equation to find the number of each type of coin in the jar.

Answers

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Find out more at: https://brainly.com/question/21105092

can you answer for angle T

Answers

Cos = adjacent/hypotenuse

Therefore

The adjacent of angle T is 24, Adjacent means the one next to

The hypotenuse in this problem is always 25, the long side

So it will be 24/25

Hope this helps!!

Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.

Answers

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:

Amanda

[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)

Where:

[tex]x_{R}[/tex] - Running distance, in miles.[tex]x_{S}[/tex] - Swimming distance, in miles.[tex]x_{C}[/tex] - Cycling distance, in miles. [tex]v_{A,R}[/tex] - Speed of Amanda in the running distance, in miles per hour.[tex]v_{A,S}[/tex] - Speed of Amanda in the swimming distance, in miles per hour.[tex]v_{A,C}[/tex] - Speed of Amanda in the cycling distance, in miles per hour.[tex]t_{A}[/tex] - Total time of Amanda, in hours.

Bryce

[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)

Where:

[tex]v_{B,R}[/tex] - Speed of Bryce in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Bryce in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Bryce in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Bryce, in hours.

Corey

[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)

Where:

[tex]v_{B,R}[/tex] - Speed of Corey in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Corey in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Corey in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Corey, in hours.

If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:

[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)

[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)

[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)

[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

We kindly invite to check this question on systems of linear equations: https://brainly.com/question/20379472

I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS (TRUTHFULLY) !!NO LINKS!!

Answers

Step-by-step explanation:

SAS ================

What it says:

If two sides and the angle between them on one triangle are congruent to the corresponding two sides and the angle between them on the other, the triangles are congruent.

Required information:

Two sets of congruent sides with a congruent angle between them

ASA ================

What it says:

If one side and both connected angles on one triangle are congruent to one side and both connected angles on the other, the triangles are congruent.

Required information:

One set of congruent sides with two sets of congruent angles on the sides

AAS ==================

What it says:

If two angles and the non-included side on one triangle are congruent to two angles and the non-included side on the other, the triangles are congruent.

Required information:

Two sets of congruent angles and one set of congruent non-included sides

HL =================

What it says:

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg on the other, the triangles are congruent.

Required information:

Congruent hypotenuse and congruent leg

QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
a) 19%
b) 23%
C) 81%
Submit

Answers

From the information given, the percentage increase in the price bid over the cost will be 23%.

Cost on the product = $112.

Amount bid = $138

Therefore, the Percentage increase will be:

= (138 - 112) / 112 × 100

= 26/112 × 100

= 23%

Therefore, from the calculation above, it can be seen that the percentage increase in the price bid over the cost will be 23%.

Read related link on:

https://brainly.com/question/25516975

Javad had a mix of yellow and red jelly beans are shown on the graph if there are 42 jelly beans in his bag how many are red?

Answers

Answer:

there is no graph though

Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm

Answers

The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

Read more about areas and perimeters at:

https://brainly.com/question/11957651

Find the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​

Answers

Answer:

1/3 + 1/12 = 5/12

Step-by-step explanation:

Take a look on the picture

There are the solutions

to get the correct answer

Hope it helps

#LetsStudy

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The  product of 3/5 and 5/9 is,

Product = 3/5 × 5/9

= (3×5)/(5×9)

= 15 / 45

= 1/3

The  product of 5/9 and 3/20 is,

Product = 5/9 × 3/20

= (5×3)/(9×20)

= 15 / 180

= 1/12

Now, the sum of the two products can be done as shown below,

Sum = 1/3 + 1/12

       = 4/12 + 1/12

       = (4+1)/12

       = 5/12

Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ5

Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate​

Answers

Answer:

Unit rate is 3

Step-by-step explanation:

The unit rate means the value of ONE unit.

In this case, it would be the value of ONE pound of apples.

I divided 6 by 2, which gave me THREE.

What is 0.4184 in standard form

Answers

Answer:4.184*10^-1

Step-by-step explanation: in standard form or scientific notation

10.
Identify the vertex of the parabola.



A. (−1, 0)

B. (0, −1)

C. (1, 0)

D. (0, 1)

Answers

Answer:

C. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

1,0 should be the correct answer

Can somebody help ????

Answers

Answer:

Answer is 4, explained answer in the comments because I didn't see the answer button, but now I do.

cuanto es "y=2x + 5" ??

Answers

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(2*x+5)=0

STEP1:

Equation of a Straight Line

1.1 Solve y-2x-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000

x-intercept = 5/-2 = -2.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 4.000/2.000 = 2.000

Geometric figure: Straight Line

Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000


[tex] \: \: \: [/tex]

help me po

1.) if mHO =150° and mPO =80° what is the m∠HEO?


2.) if mMT =140° and mMHT =220° find m∠ MAT


answer 3-4 only

need properly answer
right answer= brainlist follow and thanks
nonsense answer will be reported​

Answers

Answer:

b. secantc. 45°d. 35°d. 40°

Step-by-step explanation:

1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."

__

2. The angle where chords cross is the average of the intercepted arcs:

  (50° +40°)/2 = 45° . . . . measure of angle CSA

__

3. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (150° -80°)/2 = 35° . . . . measure of angle HEO

__

4. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (220° -140°)/2 = 40° . . . . measure of angle MAT

Please note that this is the supplement of arc MT between the tangents.

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

Step-by-step explanation:

yo kya haal hai

For any line, if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

If the same line holds the hypotenuse of two right triangles, both of the triangles are similar.

This is because they have same ratio of corresponding sides.

Yes .

Let's check your graph

In ∆ADE and ∆ABC

AD~BC(Parallel to y axis or y axis)AE~EC(Passing through origin and same vertice A)AB~DE(Translation by 2)

Hence both triangles are similar

Kipton puts one marshmallow on the scale and it weighs 7.2 grams. How much would 10 marshmallows weigh?

Answers

Answer:

72 grams

Step-by-step explanation:

7.2 x 10 = 72

Which number is both a factor AND a multiple of 4? 1,2,4,8

Answers

Answer:

1,2,4,

Step-by-step explanation:

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

9.09

Step-by-step explanation:

Pythagorean Theorem: a² + b²  =  c²

When looking at the triangle we see that we have the hypotenuse and the opposite side.

a = opposite

b = adjacent

c = hypotenuse (always)

So if we plug those numbers into the equation we can get the missing side length

1) a² + b²  =  c²

2) 9.7² + b² = 13.3²

3) b² = 13.3² - 9.7²

4) b² = 176.89 - 94.09

5) b = [tex]\sqrt{176.89 - 94.09}[/tex]

6) b = 9.093954036

Now we round to nearest hundredth

To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,

b = 9.09

group of 3 people is going on a boat tour. If each boat holds 3 people, how many will boats will the group need?

Answers

Answer:

1

Step-by-step explanation:

there are 3 people and 1 boat holds three people

5. The function f(x) is shown in this graph.

The function g(x) = -3x - 1. Compare the slopes by writing "less than, "greater than," or "equal to" in the blank.

The slope of f(x) is ______ the slope of g(x).​

Answers

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link


[tex] \: \: \: \: \: \: [/tex]



plss help me po!!

what is the measure of OS if MO = 6, OE =4 and OR=3?

a. 13
b. 8
c. 7.5
d. 7

explain your answer
see the attachment
need properly answer
nonsense answer will be reported
excellent answer will get brainlist and follow

#nospam
#nolinks
[tex] \: \: \: \: \: \: \: [/tex]

Answers

Answer:

B. 8

Step-by-step explanation:

Intersecting chords theorem:

OS * OR = OM * OE

Substitute values and solve for OS:

OS * 3 = 6 * 43OS = 24OS = 24/3OS = 8

Correct choice is B

Decide if the following situation is a unit rate or not why or why not?
You score 12 points in one basketball game.

Answers

Answer:

Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.

Given that rectangle ABCD has coordinates A(0,0), B(12,0), C(12,6), and D(0,6), F is the midpoint of AB¯¯¯¯¯, and G is the midpoint of CD¯¯¯¯¯, which of the following proves that FB=GC?

1. By the Distance Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 12, and GC = 12.
Thus FB = GC.

2. By the Distance Formula, the coordinates of F are (6, 12) and the coordinates of G are (6, 0).
Then FG = 6, and GC = 6.
Thus FG = GC.

3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 6, and GC = 6.
Thus FB = GC.

4. By the Midpoint Formula, the coordinates of F are (6, 6) and the coordinates of G are (6, 0).
Then FB = 6, and GC = 6.
Thus FB = GC.

Answers

The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex]  are the points that half way between  [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.

The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3

3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]

Reasons:

The given coordinates of the vertices of rectangle ABCD are;

A(0, 0), B(12, 0), C(12, 6), and D(0, 6)

The midpoint of side [tex]\overline{AB}[/tex] = Point F

The midpoint of side [tex]\overline{CD}[/tex] = Point F

The coordinates of point F is given by the midpoint formula, as follows;

[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]

Which gives;

[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]

The coordinates of point F = [tex]\underline{(6, \ 0)}[/tex]

[tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]

The coordinates of point G = [tex]\underline{(6, \ 6)}[/tex]

[tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;

The length of [tex]\overline{FB}[/tex] = 12 - 6 = 6

Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;

The length of [tex]\overline{GC}[/tex] = 12 - 6 = 6

Which gives;

[tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] = 6

The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.

By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]

Learn more here:

https://brainly.com/question/17685913

https://brainly.com/question/17192852

72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators. ​

Answers

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

PLEEEAASSEEE HELP

Find the constant of proportionality and write an equation for the following proportional relationship.

You can buy 14 apples for $28.

Use a to represent number of apples and c to represent the cost

Answers

Answers:

constant of proportionality:  2equation is:  c = 2a

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

Explanation:

a = number of apples purchased

c = cost in dollars

The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).

To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.

We'll update the equation from c = ka to c = 2a

Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.

Answer:

c=2a

Step-by-step explanation:

c=2a

Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?

Answers

Answer: 4.25 meters of rope

Step-by-step explanation:

Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.

Hope it helps :) and let me know if you want me to elaborate.

Geometry- what is O? show work/explain please.

Answers

Answer:

Step-by-step explanation:

Other Questions
Reese wrote this essay for his biology class. Read Reeses essay and look for any revisions he needs to make. When you finish reading, answer the questions that follow. A New Discovery about the Brain (1) But there is still one part of the human body that confuses scientists: the brain. (2) Although scientists have made extraordinary progress in understanding how the brain functions, there still is much to learn. (3) In fact, scientists are only now beginning to discover and understand the lymphatic system of the brain. (4) The lymphatic system performs an important role in the overall functioning of the body, much like the circulatory system. (5) The lymphatic system also moves things around the body. (6) Instead of bringing the body what it needs through the blood, however, the lymphatic system carries away what the body doesnt need, such as germs and waste products, through a fluid called lymph. (7) The lymph then travels to the various lymph nodes throughout the body. (8) As the lymph is filtered through the lymph nodes, the nodes respond to any germs by mounting an appropriate defense. (9) Scientists have been stumped by this process. (10) But in 2012 scientists found that the brain has its own type of lymphatic system. (11) Dr. Maiken Nedergaard and her team of researchers were surprised and excited to discover the first evidence of a tightly interwoven system that rapidly removes waste from the brain. (12) The brains blood vessels have fluid that is running along the side of them, the team determined, and this fluid is what is carrying waste away from the brain. (13) However, unlike the lymphatic systemwhich operates on a slow, continuous basisthis newly discovered system operates only when a person is asleep, washing away waste by flooding the brain quickly with fluid. (14) Now you have one more reason to get a good nights sleep. (15) It took three more years for scientists to discover the specific vessels in the brain that are part of this lymphatic system. (16) In 2015, researchers were able to provide proof of a lymphatic system in the brain when they actually managed to see the vessels that are used to flood the brain and carry away the waste. Even though what this relatively new discovery means is still not entirely clear, researchers are already making connections. (18) For example, many brain diseases, including Alzheimers disease, involve the accumulation of specific proteins in the brain. (19) Although it is too early to jump to conclusions, it is reasonable to infer that these diseases may be connected in some way to the ability of this newly discovered lymphatic system to remove waste from the brain. (20) In the future, scientists will attempt to prove this connection. (21) The discovery of an entirely new system opens up exciting new areas of research and inquiry. (22) It may offer more opportunities for discoveries as researchers increase their understanding of how this system functions and how it is related to health and disease. (23) Eventually, we may gain a fuller understanding of the mysterious workings of the human brain. 1) Reese needs to improve the introduction of his essay. Which sentence should be added before sentence 1 to create a more effective introduction for his essay? A) There are so many mysteries about the human body that you would never believe it. B) The brain is like the bodys big jigsaw puzzle C) Over the past centuries, many of the mysteries of the human body have been explained by science. D) Scientists are determined to find out all the facts that can help them understand our world The first Amendment protects free speech. So, are you free to express yourself by wearing a T shirt that has profanity and some vulgar words Explain? (Look in your book or search online to find the specific laws, which may be different from your opinion and summarize in your own words.) HELP TIMEDD!!Garett was providing nail care to a patient. He checked the patient's chart for information on what the patienttypically has done for nail care. He then checked the water temperature, checked for skin tears or breaks, andchecked for corns and calluses. What else should he do before starting nail care?O retrieve a friction-reducing deviceO check to see how long the nails should be soakedO check for alopeciaO make sure there is enough time between nail-care sessions PLEASE!!!!!!!!!!!!!!!!! I"'LL GIVE BRAINLIEST!!!!!What is the best way to avoid gossip in the workplace?Keep communication professionalAvoid joining cliquesAvoid joining teamsOnly use positive verbal communication ASL's recognition as a comprehensive language came about as a result of work done by A) Bell and MilanB) Clerc and BellC) Cogswell and BraidwoodD) Veditz and Stokoe a population of deer is increasing at a rate of 12% per year, if this rate of growth remains the same, and the population starts out with 250 deer approximately how many deer will there be in 5 years? Using material from this Unit or outside sources, list three advantages of capitalism and three disadvantages. Formulate ways to check, limit, or solve the three disadvantages. Evaluate.(2a - 3) (b / 4) when a = 12 and b = - 20 1.Anthony _____ fruit-bearing trees in his farm yesterday. pls help po -2.7 = a - 3.3whats the operation is it an inverse or a reciprocal what does A= Help ASAP PLZZZZ I NEED HELP ASAP!!! *39 points!!*The 1876 ___________ was an important step to Bulgarian independence from the Ottoman Empire.A. Battle of the BalkansB. Sofia RevoltC. April UprisingD. Bulgarian War of Independence The table compares vapor pressure values for water ethanol and diethyl ether Add six temperatures determine the approximate normal boiling point for each substance what do the data suggest about the relative strength of attraction between particles in each substance Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, andpotatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and yourknowledge of polynomials, perimeter and area to solve the following questions.1. Write a polynomial expression that represents the area of the potato field.2. Simplify a polynomial expression that represents the area of the potato field.3. Explain why the calculated area would be useful to Farmer Bob. Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=xF(G(x))= 1Leo reads 11 pages in hour. What is the unit rate for pages per hour? For hours per page?4The unit rate is page(s) per hour. Express the given in terms of the logarithms of prime numbers:[tex]log_{4} 405[/tex][tex]log_{7}(\frac{8}{81} )[/tex] Your task is to write a fictional newspaper article assuming that the Declaration of Independence was never written. Assume that the United States does not exist, and that the land now known as the United States is still a British colony. The same issues that the colonists experienced in the late 1700s are still happening today! Your assignment is to choose two of the grievances to include in your article as if they were still occurring. Your article should show the impact that these grievences have on the citizens today. Be creative! What is the greatest perfect square that is a factor of 4725 why (0.0) (3.4) (6.8) (6,12) not a function THE FIRST ONE TO GET IT CORRECT GETS 100 POINTS PLEASE