Please help! Thanks in advance!

Please Help! Thanks In Advance!

Answers

Answer 1

Answer:

The are certain things that need to be carefully observed when you add or combine the polynomials. Here is the list of certain rules for adding/combining polynomials.

Step-by-step explanation:

The are certain things that need to be carefully observed when you add or combine the polynomials - especially the polynomials with more than one variable.

Here are some of the rules for adding polynomials:

First we must identify like terms in the given polynomials, and then combine them based on the correct integer operations.When there is a plus sign, we add polynomials. It must be noted that, within polynomials, we need to add or subtract like terms. For example, when we combine like terms, such as 4x and 5x, we tend to add their coefficients i.e. 4x + 5x = 9xPlease remember we can not add polynomials if they have different exponents. For example, x²+ x can not be added.

Lets add and simplify the following polynomials.

(4x + 7y) + (5x – 3y)

First clear the parenthesis.

4x + 7y + 5x – 3y

Then make sue to group the like terms in accordance to their variables - try to keep them in alphabetically order, and ultimately just simplify.

4x + 5x + 7y - 3y

9x + 4y

So, 9x + 4y is the answer.

Note: I can not further combine or add 9x + 4y as they are un-like. The reason is simple; un-like polynomials have different variables.

The polynomials can be add vertically too.

Just put each variable in its own columnFirst column can be termed as x-column and second column can be termed as y-columnChoosing the horizontal or vertical method is just a matter of taste.

Here is the vertical method of adding (4x + 7y) and (5x – 3y) .

4x    +7y

5x     -3y

________

9x + 4y

________

Keywords: add, combine, polynomials

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Related Questions

5) Devon has 2 equal stacks of Post-Its in his locker. He used 14 of them last week and has
22 left over. How many Post-Its were in each stack?

Answers

i’m guessing you just add 22 + 14 which is 36

Answer: 18

Step-by-step explanation:

1.We must total 14 and 22 (14+22) that brings the number of post which is 36.

2.The we must divide 36 by 2 (36÷2). It said two stacks that is why the division by 2 comes in place and it gives us our answer 18

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved . The bracelet costs $30. How much money does Lily have saved?

Answers

Lily has saved $ 7

Solution:

Given that bracelet costs $30

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved

Cost of bracelet = $ 30

From given statement,

Cost of bracelet = 5 times the amount she has saved - 5

Let "x" be the amount saved by lily

Cost of bracelet = 5 times x - 5

Here "times" represents multiplication

30 = 5(x) - 5

30 = 5x - 5

30 + 5 = 5x

5x = 35

On dividing 35 by 5 we get 7

x = 7

Thus Lily saved $ 7

Answer:

1.  Start with the cost of the bracelet: 30.

2. Add 5: 30 + 5 = 35.

3. Divide by 5: 35 / 5 = 7

So, Lily has $7 saved

Step-by-step explanation:

Hope it helpss ! :D

HLEP PLEASE!!!!!!!!!!!!!!!!!Add. State the sum in simplest form.

Answers

Answer: the answer would be B. ( 18y+35x over 15xy

The vertices of parallelogram ABCD are located at points A(-2,-1), B(6,1), C(10,7), and D(2,5). Which of the following statements are true?
Select all that apply.

Answers

The statements which are true are:

(6, 6) is the midpoint of CD

(4, 3) is the intersection point of diagonals of parallelogram

Solution:

The mid point (x,y) = [tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Midpoint of AB

A(-2, -1) and B(6, 1)

[tex]\text{ midpoint of AB } = (\frac{-2+6}{2} , \frac{-1+1}{2})\\\\\text{ midpoint of AB } = (2, 0)[/tex]

Thus statement 1 is wrong

Midpoint of BC

B(6, 1) and C(10, 7)

[tex]\text{ midpoint of BC } = (\frac{6+10}{2} , \frac{1+7}{2})\\\\\text{ midpoint of BC } = (8, 4)[/tex]

Thus statement 2 is wrong

Mid point of CD

Here ,

[tex]x_1[/tex] = 10

[tex]x_2[/tex]= 2

[tex]y_1[/tex]= 7

[tex]y_2[/tex]=5

now substituting these values,

mid point of CD  = [tex](\frac{10+2}{2},\frac{7+5}{2})[/tex]

mid point of CD  = [tex](\frac{12}{2},\frac{12}{2})[/tex]  

mid point of CD  = [tex](6, 6)[/tex]

Therefore (6, 6) is the midpoint of CD

Statement 3 is correct

Midpoint of AD

A = (-2, -1) and D = (2, 5)

[tex]\text{ mid point of AD } = (\frac{-2+2}{2} , \frac{-1+5}{2})\\\\\text{ mid point of AD } = (0, 2)[/tex]

Thus statement 4 is wrong

Intersection point of diagonals of parallelogram

Let AC and BD be the diagonals of parallelogram

The diagonals of a parallelogram bisect each other, therefore, the point of intersection is the midpoint of either.

Midpoint of AC:

A = (-2, -1) and C(10, 7)

[tex]\text{ Midpoint of AC } = (\frac{-2+10}{2} , \frac{-1+7}{2})\\\\\text{ Midpoint of AC } = (4,3)[/tex]

Thus statement 5 is correct

Max wants to run 512 miles to train for track season. If the total length around the track is
34 mile, how many laps does Max need to run around the track?

Answers

Max needs to run 15 laps around the track.

Step-by-step explanation:

Given,

Distance Max wants to run = 512 miles

Length around the track = 34 mile

34 miles = 1 lap

1 mile = [tex]\frac{1}{34}\ laps[/tex]

512 miles = [tex]\frac{1}{34}*512[/tex]

512 miles = 15.06 laps

Rounding off to nearest whole number;

512 miles = 15 laps

Max needs to run 15 laps around the track.

Keywords: unit rate, division

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Carl's age, 32, is 25 less than one-third his weight. How much does
Carl weigh?​

Answers

Answer:

21

Step-by-step explanation:

32-25<1/3x

7*3=x

21=x

Answer:

171

Step-by-step explanation:

Carl’s age, 32 + 25 = 57

57 x 3 = 171

What polynomial should be subtracted from 7x^2−6x+5 to get the difference equal to x^2−x.

Answers

Answer: 6x^2-5x+5

Step-by-step explanation:

Answer:

6x^2-5x+5

Step-by-step explanation:

Essentially, you just put the two in a column:

7x^2−6x+5

- y

=x^2-x

("y" represents answer)

what is $750x+150<1000

Answers

For this case we must resolve the following inequality:

[tex]750x + 150 <1000[/tex]

Subtracting 150 from both sides of the inequality we have:

[tex]750x <1000-150\\750x <850[/tex]

We divide between 750 on both sides of the equation:

[tex]x <\frac {850} {750}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {170} {150}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {34} {30}[/tex]

We simplify, dividing by 2 numerator and denominator:

[tex]x <\frac {17} {15}[/tex]

Thus, the solution is given by all values of x less strict than[tex]\frac {17} {15}[/tex]

Answer:

[tex]x <\frac {17} {15}[/tex]

If 3(d+1)=4(d–2), then what is the value of 5(d–2)?

Answers

Answer:

Ans => 45

Step-by-step explanation:

3(d+1) = 4(d-2)

Expanding the brackets we have:

3d + 3 = 4d - 8

our aim now is to solve for d

3d - 4d = -8 - 3

-d = -11

=> d = 11

we can now get 5(d-2)

substituting d = 11

5(11-2)

5(9)

= 45

The value of 5(d-2) is 45.

3(d+1)=4(d–2)

3d + 3 = 4d - 8.

3d - 4d = -8 - 3.

-d = -11

d = 11

Substitute d = 11 into 5(d–2):

5(d-2)=5(11-2)

= 5(9)

= 45.

HELP ME 15 POINTS!!!!

Which is the MOST REASONABLE approach for the company to take to lessen the number of latecomers to work?
A) Relocate the company to an area with less traffic.
B) Deduct the lost time for any reason from vacation time.
C) Delay the start time of work days when there is bad weather.
D) Implement better procedures at the security gate.

Answers

delay the start time of work days when there is bad weather

Answer:

D) Implement better procedures at the security gate.

Step-by-step explanation:

What is the percentage of increase from the least expensive policy to the most expensive policy? To the
nearest tenth of a percentage.

Answers

7.8 6.8 and 5.8

Is what they forgot to put

Answer is 7.8

A cell phone company charges a $20 flat fee plus 5 cents for every minute used for calls.



Which algebraic equation that could be used to represent the situation?

A.
Y= 0.05x + 20

B.
Y = 5x + 20

C.
Y = 20x + 0.5

D.
Y = 20x + 5

Answers

It would be A. (Y=0.05x+20)

A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?

Answers

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

[tex]r=10.4\ ft\\\\h=8.4\ ft[/tex]

You get this volume:

[tex]V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3[/tex]

If you double the radius, the volume of the conical tent will be:

[tex]V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3[/tex]

When you divide both volumes, you get:

[tex]\frac{3,805.70\ ft^3}{951.43\ ft^3}=4[/tex]

Therefore, doubling the radius will quadruple the volume of the tent.

Company charges $80 per hour fee for computer repair plus a 1 time service fee. The total for 3 hours was $290. Write the point slope form of an equation to find the total fee y for any number of hours x

Answers

Answer:

y=80x+50 for the one time service fee.

Anytime after that would be y=80x

Step-by-step explanation:

Y is how much the total is and 80 is how much it is an hour. X is the number of hours worked. With the first time fee of $50, your equation would be y=80x+50. Anytime after that, excluding the “one time fee,” the equation would be y=80x.

PLEASE HELP ASAP
Which pairs of rectangles are similar polygons?



Select Similar or Not Similar for each pair of rectangles.

Answers

Answer:

A & B Not Similar B & C Not Similar A & C Similar

Step-by-step explanation:

i just took the test and these are the correct answers that they gave on review of test, Youre welcome :)

Determine whether the given equation has one solution, no solution, or infinitely many solutions.
2 - 3(x + 4) = 3(3 - x)

one solution
no solution
infinitely many solutions
cannot be determined

Please show me how you get your answer, I really need to know how to do this

Answers

Answer:

No Solution.

Step-by-step explanation:

2 - 3(x + 4) = 3(3 - x)

2 - 3x - 12 = 9 - 3x

Move the terms in x to one side and the numbers to the other

-3x + 3x = 9 - 2 + 12

0 = 19.

This is absurd so there is No Solution.

Which values of x are solutions to the inequality?
x < -200. select each correct answer
A. x = - 120
B. x = - 210
C. x = -200
D. x = -201​

Answers

Answer:

B. [tex]x=-210[/tex]

D. [tex]x=-201[/tex]

Step-by-step explanation:

Given:

The inequality for 'x' is given as:

[tex]x<-200[/tex]

The above inequality tells us that, the value of the variable 'x' is less than -200.

-200 is a negative number. So, for a negative number, the larger the value of the number, the smaller the number is.

Example: -2 is less than -1 although 2 has a greater magnitude than 1.

Therefore, the numbers that are less than -200 are -210 and -201.

So, the values of 'x' that satisfy the given inequality are -201 and -210

Thus, the correct options are (B) and (D).

Given no other restrictions what are the domain and range of the following function f(x)=x^2-2x+2

Answers

Answer:

R= {y|y>=1}

Step-by-step explanation:

D = all real numbers R= {y|y>=1}.

All polynomials have domain of all real numbers.

For the range, the vertex format is useful;

Y= (X-1)^2 + 1

Since (X-1) is never less than zero, Y>=1.

That is where the vertex is, at Y=1

In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free time per day what percent of free time is he using to play video games and use the internet

Answers

Final answer:

Gary spends approximately 54.29% of his free time on video games and the internet.

Explanation:

To find the percentage of free time that Gary spends on video games and the internet, we need to calculate the total number of hours he spends on these activities and divide it by the total number of hours of free time he has.

First, calculate the total number of hours Gary spends on video games and the internet: 10 + 9 = 19 hours.

Next, calculate the total number of hours Gary has for free time in a week: 5 hours per day x 7 days = 35 hours.

To find the percentage, divide the total number of hours spent on video games and the internet by the total number of hours of free time and multiply by 100: (19 / 35) x 100 = 54.29%.

Therefore, Gary spends approximately 54.29% of his free time on video games and the internet.

Final answer:

To find the percentage of free time that Gary is using to play video games and use the internet, calculate the total free time and the proportion of time spent on video games and internet use.

Explanation:

To find the percentage of free time that Gary is using to play video games and use the internet, we need to calculate the total amount of free time Gary has and then determine the proportion of that time spent on video games and internet use.

Gary spends 10 hours per week on the internet and 9 hours per week on video games. This is a total of 10 + 9 = 19 hours per week.

Since Gary has 5 hours of free time per day, he has a total of 5 * 7 = 35 hours of free time per week.

To find the percentage, we divide the time spent on video games and internet use (19 hours) by the total free time (35 hours) and then multiply by 100. So, the percentage is (19/35) * 100 = 54.28% (rounded to two decimal places).

You have budgeted $100 to improve your swimming over the summer. At your local pool, it costs $50 to join the swim association and $5 for each swim class. Write and solve an inequality to find the possible numbers of swim classes you can attend with

Answers

Answer:

[tex]50+5x\le 100[/tex]

[tex]x\le 10[/tex]

You can visit at most 10 swim classes.

Step-by-step explanation:

Let x be the number of swim classes you can attend with.

At your local pool, it costs $50 to join the swim association and $5 for each swim class. then x classes cost $5x and the total cost is $(50 + 5x).

You have budgeted $100 to improve your swimming over the summer. Hence,

[tex]50+5x\le 100[/tex]

Solve this inequality:

[tex]50+5x-50\le 100-50\\ \\5x\le 50\\ \\x\le 10[/tex]

You can visit at most 10 swim classes.

Final answer:

The student can join the swim association and attend up to 10 swim classes within the $100 budget.

Explanation:

This question is asking for the creation and solution of an inequality based on a budgeting scenario. The student has budgeted $100 and needs to spend $50 to join the swim association, leaving $50 for swim classes at $5 each. The problem can be represented by the inequality 5c ≤ 50, where c is the number of swim classes.

To solve the inequality, you would divide both sides by 5. The solution of this inequality is c ≤ 10. So, the student can attend up to 10 swim classes within the budget.

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I don’t understand what it is asking so I need help with the work

Answers

Answer: The diver is 23 feet under sea level

Step-by-step explanation:

If we draw a vertical number line (image attached), where point 0 is sea level (the diver's initial position), the first point under sea level is -20, since we are told it dives a distance of 20 ft (the negative sign is only to indicate the direction, since a distance cannot be negative).

Then, the diver goes 10 ft deep. This means now it is 30 ft under sea level and the second point is -30.

After that the diver swims up 12 ft, hence we have to count 12 points up in our number line and the corresponding point is -18.

Finally, the diver swims 5 ft lower and keep that position. Hence, we have to count 5 points below point -18 in the number line, resulting in the last point: -23.

This means the diver's final position is 23 feet under sea level.

If we want to prove it with numbers, we can do it as follows:

20 ft (down)+10 ft (down)-12 ft (up)+5 ft (down)=23 ft

Sam and Odel have been selling frozen pizzas for a class fundraiser. Sam has sold half as many pizzas as Odel. Together they have sold a total of 126 pizzas. How many pizzas did Sam sell

Answers

Answer:

Step-by-step explanation:

Sam has sold 63 pizzas, because the problem is asking what is the half of 126 basically, which is 63 and is also saying that sam sold HALF as many pizzas.

Find the greatest common factor.
4z, 6z3
Write your answer as a constant times a product of single variables raised to exponents.

Answers

The GCF of given terms is: 2z

Step-by-step explanation:

A largest factor that is shared by all given terms is called greatest common factor.

So,

Given terms are:

4z , 6z^3

Factoring the terms

[tex]4z = 2.2.z\\6z^3 = 2.3.z.z.z[/tex]

The common factors in both terms are: 2 and z

So,

The GCF of given terms is: 2z

Keywords: GCF, factors

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In the diagram, which center describes the point equidistant to the stove, the refrigerator, and the sink?
stove
sink
refrigerator
the centroid
the orthocenter
HELPPPPPPPPPP PLEASEEEEEEE

Answers

Answer:

Circumcenter describes the point equidistant to the refrigerator, stove and the sink

Step-by-step explanation:

The basic construction of the circumcenter is to identify the midpoints of the original triangle. This circumcenter is the point where all the perpendicular bisector of the sides of the triangle intersects. For an triangle that is  acute-angled, its circumcenter will lie inside the triangle. For an obtuse-angled triangle, the circumcenter lies outside of the triangle

, In a right-angled triangle, Circumcenter lies at the midpoint of the hypotenuse side of triangle.

To Find the circumcenter of the triangle

find the midpoints of the two side using midpoint formulafind the slopes of the sidesfind the slopes of the perpendicular bisectorusing these data make two equationssolving the 2 equation will give the circumcenter of the triangle

Answer:

Circumcenter

Step-by-step explanation:

Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle?

Answers

Answer:

Full bottle can fill 34 ounces water and 27.2 ounces left in the bottle

Step-by-step explanation:

Full bottle : 100%

6.8 ounces: 20%

100% / 20% = 5

Full bottle = 6.8 x 5 = 34 ounces

water remain in bottle = 34 -6.8 = 27.2 ounces

There is 34 ounces of water in the bottle initially and this can be determined by using the unitary method.

Given :

Diego pours 6.8 ounces of water from a full bottle.He estimates that he poured out 20% of the water in the bottle.

The following steps can be used in order to determine the total amount of water in the full bottle:

Step 1 - The unitary method can be used in order to determine the total amount of water in the full bottle.

Step 2 - According to the given data, Diego pours 6.8 ounces of water from a full bottle which is the 20% of the water in the bottle.

Step 3 - If 20% is 6.8 ounces of water than the 100% is given by:

[tex]=\dfrac{6.8}{20}\times 100[/tex]

Multiply 6.8 by 100 in the above expression.

[tex]=\dfrac{680}{20}[/tex]

Divide 680 by 20 in the above expression.

= 34 ounces

So, there is 34 ounces of water in the bottle initially.

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A history Club sold rolls of wrapping paper as a fundraiser. The wrapping paper was sold in small rolls and large rolls. The club earned $3 for every small roll sold. The club earned $4.50 for every large roll sold. The club sold 10 more large rolls than small rolls. The club collected $135 more from sales of large rolls than from sales of small rolls. The equation 3 S + 135 = 4.5( s + 10) can be used to represent this situation, where s represents the number of small rose the club sold. How many small roles did the history Club sell? Of wrapping paper as a fundraiser. The wrapping paper was sold and small rose and large Rose. The club earn $3 for every small role sold. The club sold 10 more large rolls than small rolls. The club collected $135 a more from sales of large rolls than from sales of small rolls. The equation 3x + 135 = 4.5(s + 10) can be used to represent this situation, where s represents the number of small rolls the club sold. How many small rolls did the history Club sell?

Answers

Answer:

hence small rolls 60 and large rolls 70

Step-by-step explanation:

let club sold s small rolls

hence club sold s+10 large  rolls

earning from small roll 3s

earning from large rolls 4.5(s+10)

hence

4.5(s+10) - 3s  = 135

or  4.5(s+10) = 3s +135

3s +135 = 4.5(s+10)

3s +135 = 4.5s +45

4.5s +45 = 3s +135

4.5s -3s = 135-45

1.5s = 90

s = 90/1.5

s= 60

s+10 = 70

hence small rolls 60 and large rolls 70

Final answer:

The history club sold 60 small rolls of wrapping paper according to the given equation.

Explanation:

The subject here is Mathematics, specifically algebra. The equation given by the problem, 3S + 135 = 4.5(S + 10), can be solved to find 'S', which represents the number of small rolls sold by the history club. Start by distributing the 4.5 across the (S + 10) on the right side of the equation. This gives 3S + 135 = 4.5S + 45. Subtract 3S from both sides of the equation to get 135 = 1.5S + 45. Subtracting 45 from both sides then gives 90 = 1.5S. Finally, divide each side of the equation by 1.5 to get S = 60. So, the history club sold 60 small rolls.

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The inequality x + 12x + 35 has two critical points and three possible intervals for solutions. Choose


each set of possible test points for the three intervals.


-8,-6,4


-10, -6,0


-6,0,6


-6,0, 10

Answers

Answer:

Option 1 and 2.

Step-by-step explanation:

Consider he given inequality is

[tex]x^2 + 12 x+35\ge0[/tex]

Splitting the middle term we get

[tex]x^2 +7x+5x+35\ge0[/tex]

[tex]x(x+7)+5(x+7)\ge0[/tex]

[tex](x+5)(x+7)\ge0[/tex]

The related equation is

[tex](x+5)(x+7)=0[/tex]

Using zero product property we get

[tex]x+5=0\Rightarrow x=-5[/tex]

[tex]x+7=0\Rightarrow x=-7[/tex]

Draw number line and mark -5 and -7 on it.

Now the three intervals are (-∞ , -7], [-7,-5] and [-5,∞).

The set of possible test points for

⇒ (-∞ , -7] → -8,  -10

⇒ [-7,-5] → -6

⇒ [-5,∞) → -4, 0, 4, 6

-8,-6,-4 and -10,-6,0 satisfies the given condition.

Therefore, the correct options are 1 and 2.

647 divided by 3 step by step. thanks.

Answers

Answer:

215

Step-by-step explanation:

215

3

647

6

04

 3

 17

 15

   2

hope this helped

Barney has
[tex]16 \frac{1}{5} [/tex]
yards of fabric. To make an elf costume, he needs
[tex]5 \frac{2}{5} [/tex]
yards of fabric. How many costumes can Barney make? ​

Answers

Barney can make 3 costumes from the total fabric.

Step-by-step explanation:

Given,

Amount of fabric Barney has = [tex]16\frac{1}{5}=\frac{81}{5}\ yards[/tex]

Amount of fabric required for an elf costume = [tex]5\frac{2}{5}=\frac{27}{5}\ yards[/tex]

Let,

x represent the number of costumes that can be make from total fabric.

[tex]\frac{27}{5}x=\frac{81}{5}[/tex]

Multiplying both sides by 5/27

[tex]\frac{5}{27}*\frac{27}{5}x=\frac{81}{5}*\frac{5}{27}\\\\x=\frac{81}{27}\\\\x=3[/tex]

Barney can make 3 costumes from the total fabric.

Keywords: fraction, multiplication

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For what value of x is line m parallel to line n? This is quite urgent.

Answers

Answer:

20

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures [tex]65^{\circ}[/tex] and [tex](3x+5)^{\circ}[/tex] are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

[tex]3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20[/tex]

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A series combination of two resistors of resistance 12 and 8 is connected across a source of emf 24 V. What is the potential difference across 8 resistors? write the first five terms of the sequence by the recursive formula t1=2 and tn=tn-1+3 Which question are scientists trying to answer ? Abby's car gets approximately 24 miles per gallon she is planning a 1200 mile trip about how many gallons of gas should she plan to buy at an average price of $4.20 per gallon how much should she expect to spend for gas A leader is someone who sets direction and influences people to follow that direction.a. Trueb. False how is it possible that all proportional relationships are linear functions but not all linear functions are proportional relationships A group of 3 adults and 5 children pay a total of 52$ for movie tickets A group of 2 adults and 4 children pay a total of 38$ for tickets what is the cost of one adult ticket and what is the cost for one child ticket Candlewood LLC started business on September 1, and it adopted a calendar tax year. During the year, Candlewood incurred $6,500 in legal fees for drafting the LLCs operating agreement and $3,000 in accounting fees for tax advice of an organizational nature, for a total of $9,500 of organizational costs. Candlewood also incurred $30,000 of preopening advertising expenses and $24,500 of salaries and training costs for new employees before opening for business, for a total of $54,500 of startup costs. The LLC wants to take the largest deduction available for these costs. How much can Candlewood deduct as organizational expenses? As startup expenses? What is the solution to the following equation?+ (-21) = 8. x= 27B. = 29.x = 13 = 17 Et modo blanditias adhibet, modo grata puellis munera fert illi conchas teretesque lapillos et parvas volucres et flores mille colorum liliaque pictasque pilas et ab arbore lapsas Heliadum lacrimas; ornat quoque vestibus artus, dat digitis gemmas, dat longa monilia collo: aure leves bacae, redimicula pectore pendent. Halley's comet has an elliptical orbit with the sun at one focus. Its orbit shown below is given approximately by 10.71 r - 1 + 0.883 sin In the formula, r is measured in astronomical units. (One astronomical unit is the average distance from Earth to the sun, approximately 93 million miles.) Find the distance from Halley's comet to the sun at its greatest distance from the sun. Round to the nearest hundredth of an astronomical unit and the nearest million miles.A. 12.13 astronomical units; 1128 million milesB. 91.54 astronomical units; 8513 million milesC. 5.69 astronomical units; 529 million milesD. 6.06 astronomical units; 564 million miles An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample. The population is 570. The sample is 138. The population is 570. The sample is 300. The population is 300. The sample is 138. The population is 138. The sample is 570. The population is 138. The sample is 300. Velma passes Mort at a speed of 0.75c. At this speed, the "time dilation factor" is 1.5. In other words, Mort observes a 1-second tick of Velma's clock to take 1.5 seconds. Suppose that they are born at the same time, and that Velma observes herself to live 30 years. According to Mort's observations, how old is he when Velma dies AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B. A firm is comparing two different capital structures, an all-equity plan (Plan I) and a levered plan (Plan II). Under Plan I, the company would have 200,000 shares of stock outstanding. Under Plan II, there would be 150,000 shares of stock outstanding and $2.15 million in debt outstanding. The interest rate on the debt is 5 percent and there are no taxes. a. Use M&M Proposition I to find the price per share. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the value of the firm under each of the two proposed plans? To see how fast the moss was growing students recorded how long it took the moss to cover a rule. After one hour, the moss had covered 1 1/8 inches of the ruler. After two hours, it had covered another 1 1/3 inches of the ruler. How much of the ruler did the moss cover altogether after two hours? Which cultural activity in early North America allowed larger groups of people to live together ? A population of buffalos is isolated such that no new buffalos can come into their territory. Which of the following is primarily responsible for the appearance of new alleles in this population? a. Reassortment of chromosomes during the process of creating sperm or eggs. b. Mutations in cells that will become sperm or eggs. c. Changes in the environment that favor some buffalo traits over others. d. Random mating between the buffalos in the population. As reported on the package of seeds, the mean time until maturity of a certain variety of tomato plant is 70 days. It is also known that the maturity of this variety of tomato follows a normal distributed with standard deviation = 2.4. A researcher believes that it will indeed take more time in a given condition. To test his belief, he selects a sample of 36 plants of this variety under the given condition and measure the time until maturity. The sample mean is found to be 72 days. The value of the test statistic and p-value for testing H0: = 70, Ha: >70 are: Group of answer choicesA. 1.00B. 0.00C. 0.786 The Donatist heresy was repudiated when the Orthodox Church declared that Select one: a. Jesus was of the same substance as God.b. Jesus was the son of a virgin. c. the sacraments confer grace regardless of the spiritual state of the priest administering them. d. any true believer may receive revelations from God. e. all churches and sacred books must be destroyed. Steam Workshop Downloader