What remainder is represented by the synthetic division below?

A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0.
–5
0
1
2

Answer:

  k = p/(rs)

Step-by-step explanation:

The equation that represents p varying jointly with r and s will be ...

  p = k·r·s . . . . . . . . for some constant of variation k

__

Solving this equation for k gives ...

  k = p/(rs) . . . . . divide by the coefficient of k

Check the picture below, so the hyperbola looks more or less like so, hmmm so is a vertical one, so is opening towards the y-axis, meaning the fraction that is positive is the one with the y-variable, its traverse axis length is 4 units, from +2 to -2, meaning that a = 2, and the distance either focus to the center is √5, so

[tex]\textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ a=2\\ c=\sqrt{5} \end{cases}\qquad \cfrac{(y- 0)^2}{ 2^2}-\cfrac{(x- 0)^2}{ b^2}=1[/tex]

[tex]\sqrt{5}=\sqrt{2^2+b^2}\implies 5=4+b^2\implies 1=b^2\implies \sqrt{1}=b\implies 1=b \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(y- 0)^2}{ 2^2}-\cfrac{(x- 0)^2}{ 1^2}=1\implies \cfrac{y^2}{4}~~ - ~~x^2~~ = ~~1[/tex]

Answer:

$0.14 per fl oz /// 256 fl oz of juice.

Step-by-step explanation:

The number of fluid oz per gallon = 128

2 gallons = 256 fl oz

$35.84/256= $0.14.

--------------------------------------

1 gallon = 128 fl oz.

128x2 = 256

2 gallons = 256 fl oz.

Answer:

41.75

Step-by-step explanation:

First we divide :)

25/15 = 1.67

Now we multiply!!

1.67 x 25 = 41.75

Have an amazing day!!

Please rate and mark brainliest!!

Based on the details above, the lender's good faith estimate is one that is within 0.25% of the actual closing costs.

A Good Faith Estimate commonly referred to as GFE, is known to be a kind of situation where a lender is given to a person  as one request or apply for a  form of reverse mortgage.

Note that the Lenders often needs a Good Faith Estimate (GFE) for about a period of three business days one getting the loan application. This will explain your loan terms and costs linked with the loan.

From the above, , the lender's good faith estimate is one that is within 0.25% of the actual closing costs and thus can tell the costs linked with the loan.

Learn more about good faith  from

https://brainly.com/question/24725464

Answer:

is D. the lender made a very poor estimate; it was between 0.5% and 0.75% from the actual closing cost

Step-by-step explanation:

I saw the answer on quizlet

Answer:

3.154e+10

Step-by-step explanation:

The milliseconds unit number 31,536,000,000.00 ms converts to 1 yr, one calendar year.

Or for how many milliseconds is 365 days in a year?

The answer is one Year is equal to 31557600000 Milliseconds.

Answer:

3.154e+10, 30 billion milliseconds are in one calendar year.

The volume of the cylindrical straw of diameter 6 mm and length of 270 mm is 7630.20 mm³

volume of a cylinder = πr²h

Therefore,

Hence,

radius = r = 6 / 2 = 3 mm

volume of the cylinder = 3.14 × 3² × 270

volume of the cylinder = 3.14 × 9 × 270

volume of the cylinder = 7630.2 mm³

Therefore, the volume of the straw is 7630.2 mm³

learn more on cylinder here: https://brainly.com/question/15723055

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{7}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 9 + 4}{2}~~~ ,~~~ \cfrac{ 7 -1}{2} \right)\implies \left(\cfrac{13}{2}~~,~~\cfrac{6}{2} \right)\implies \left( 6\frac{1}{2}~~,~~3 \right)[/tex]

Answer:

False, plants can be anything, take grass and trees and cacti, plant just need photosynthesis.

Step-by-step explanation:

You see, plants aren't based on if they are a flower or not

Answer:

x less thsn 4

Step-by-step explanation:

hope it helps

Answer: C. x less than 4

Step-by-step explanation:  X is not the variable being subtracted, and 4 is the variable being subtracted, therefore the answer is C. x less than 4 because this does not describe x - 4

Answer:

c. x>1

Step-by-step explanation:

-26 + 13x + 2 > 2 - 13x

-26 + 13x > -13x

13x + 13x > 26

26x > 26

= x>1

Answer:

[tex]24cm^{2}[/tex]

Hope This Helps! :) Please give Brainliest if it does!

Answer:

30

Step-by-step explanation:

10,10,20,20,20,20,30,30,30,30,40,50,50,60

The two numbers in the middle are 30 and 30.

30 + 30=60

60/2=30

Hope it Helps

Answer:

13 teams

Step-by-step explanation:

You have 351 children, and each team has 27 players.
Putting this into an equation you get:

351 ÷ 27 = x
x = 13

Answer:

40/27 or

1 and 13/27

Step-by-step explanation:

Use Keep-Change-Flip to divide fractions.

Problem:

5/9 ÷ 3/8

KEEP the first fraction, the 5/9, just copy it exactly, no changes.

CHANGE the ÷ to ×

5/9 ×

FLIP the second fraction, the 3/8. Flip it over (reciprocal)

5/9 × 8/3

Now do this problem. You can "cancel" (which is really dividing) or multiply straight across (top×top, bottom×bottom)

5/9 × 8/3

= 40/27

This cannot be reduced. It is a perfectly good answer just like this. But since there is a larger number on top, your teacher/class/book/program, might want you to change it to a mixed number.

40/27 = 1 13/27

Answer:

D

Step-by-step explanation:

The combined expenses for year 3 and 4 are 600,000 + 700,000 which equal 1,300,000. The combined income for year 3 and 4 are 400,000 + 600,000 which equal 1,000,000. 1,300,000 (the combined expenses for year 3 and 4) is also 300,000 greater than 1,000,000 (the combined income for years 3 and 4)

The word problem is

A Cake has 2/7 part left.iF it's shared between 4persons how much each get ?

Let's solve it

Let each get x

Answer:

See below ~

Step-by-step explanation:

Mitch is given 2/7 of a cake as a prize for winning a contest. He would like to share it among him and his 3 friends. How much of a whole cake do each of them get?

Solving

Answer:

Number is "n" (.40* n)-10=-4

Step-by-step explanation:

i found this off of the Internet hope this helps

The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°

A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.

It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.

From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.

Learn more about the translation of plane figures here:

https://brainly.com/question/2467920

Answer:

-------------------

Step-by-step explanation:

while the other answer is not wrong in this case, it is not complete.

"congruent angle" means the angles are equal.

so, yes, diagonally down is one, but also at exactly the same 2 spots over at the intersection point of the blue line with the second parallel red line.

Answer:

[tex]y = \dfrac{2x}{5} - \dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)[/tex]

To determine the equation of the line, we will use point slope form.

Formula of point slope form:

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

[tex]:\implies y - 1 = \dfrac{2}{5} (x - 3)[/tex]

Simplify the R.H.S:

[tex]:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}[/tex]

Add 1 both sides:

[tex]:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1[/tex]

Simplify the equation:

[tex]:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}[/tex]

[tex]:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}[/tex]

Graphing the line on a coordinate plane:

In this case, we are already given a point (3, 1). We can simply plot the y-intercept [tex][\bold{\frac{-1}{5} }][/tex] on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

Answer:

See attachment and explanation

Step-by-step explanation:

slope is x/y, which means for each x how many y's it moves by.

so,

2/5 means for every 2 x's it goes up by 5 y's.

so,

you take the point A and go right 2 and go up 5. That's the next point (5,6)

Same with the point other side of A. Go left 2 and go down 5. That's another point (1,-4)

Since, the slope 2/5 is positive, the line will be an increasing line. As shown in the attached image.

Answer:

Center = (5,-3)     radius = sqrt (36) = 6

Step-by-step explanation:

Answer:

Jamie has 14 nickels and 56 dimes

Step-by-step explanation:

Start by identifying labels for the # of dimes and nickles. Lets use x for nickels and y for dimes.

From here you can make two formulas (x + y = 70) and (5x + 10y = 630) when you put them into a graphing calculator they should intersect at (14,56) which means the x = 14 and y = 56

Answer:

4294967293 dots

Step-by-step explanation:

Figure 1 has 5 dots.

Figure 2 has 13 dots.

Figure 3 has 29 dots.

Subtract and find different of each term:

Let [tex]\displaystyle \large{b_n}[/tex] be sequence of difference (and the sequence appears to be geometric.)

So for [tex]\displaystyle \large{b_n}[/tex], find the common ratio which is 2.

Hence, [tex]\displaystyle \large{b_n = 8(2)^{n-1}}[/tex] - recall geometric sequence formula below:

[tex]\displaystyle \large{a_n = a_1r^{n-1}}[/tex]

The sequence of difference [tex]\displaystyle \large{b_n=8(2)^{n-1}}[/tex] can be simplified to:

[tex]\displaystyle \large{b_n=2^3(2)^{n-1}}\\\displaystyle \large{b_n=2^{n+2}}[/tex]

Now to find the original sequence:

[tex]\displaystyle \large{a_n = a_1 + \sum_{k=1}^{n-1}b_k}[/tex]

Hence:

[tex]\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}[/tex]

Recall:

[tex]\displaystyle \large{\sum_{k=1}^{n-1} a_1r^{n-1} =a_1\left( \dfrac{1-r^{n-1}}{1-r}\right)}[/tex]

Therefore:

[tex]\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{1-2}\right)}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{-1}\right)}\\\\\displaystyle \large{T_n=5+8(-1+2^{n-1})}\\\displaystyle \large{T_n=5-8+8(2)^{n-1}}\\\displaystyle \large{T_n=2^{n+2}-3}[/tex]

Therefore, the sequence for 5,13,29 is [tex]\displaystyle \large{2^{n+2}-3}[/tex].

Therefore, in figure 30:

[tex]\displaystyle \large{T_{30}=2^{30+2}-3}\\\displaystyle \large{T_{30}=2^{32}-3}\\\displaystyle \large{T_{30}=4294967293}[/tex]

Therefore, there are 4294967293 dots in figure 30

Answer:

(-1,-3)

Step-by-step explaintion:

hope this helps!!

btw i just chnaged the x and y sign coordinates, thats all u needa do !!

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

We have given

6 sprinklers are shown on gridlines.

Each sprinkler has a diameter of 6 feet.

The irrigation design for a new backyard is shown with six sprinkler heads and two walkways.

One sprinkler has a diameter of 6 feet.

So the radius is 3.

The area for one sprinkler is given by,

[tex]A=\pi r^{2}[/tex]

[tex]A=3.14\times 3^2\\A=28.26[/tex]

So the area covered by one sprinkler is 28.26 feet ^2.

For six sprinkler is given by

[tex]=6\times 28.26[/tex]

=169.64 ft^2

The answer is B.

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

To learn more about the area visit:

https://brainly.com/question/3948796

Answer:

b

Step-by-step explanation:

Answer:

the new volume is

v = 5508

Answer: 16

to find the mean you have to add all the numbers up and divide it by how many numbers are in the set

Answer:

[tex] \frac{10 + 5 + 7 + 14 + 19 + 32 + 25}{7} \\ = 16[/tex]

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation: