### Radical expressions

Simplifying radical expression Please see attachment.

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Simplifying radical expression Please see attachment.

Is 5^((10^5)^(10^5)^(10^5)) congruent to 1(mod 11)? I know this answer is yes but do not know how to prove this. Please see the attached file for the fully formatted problems.

Comparing Dart boards. A toy store sells two sizes of circular dartboards. The larger of the two has a radius that is 3 inches greater than that of the other. The radius of the smaller dartboard is t inches. Find a polynomial that represents the difference in area between the two dartboards.

Find the quotients (x^2y^3 - 3x^3y^2) / (x^2y) (4h^5k - 6h^2k^2) / (-2h^2k)

Find each quotient. Please see the attached file for the fully formatted problems.

#6 Assume that the variables represent non-zero real numbers. - Simplify the exponential expressions. Please see the attached file for the fully formatted problems.

Please indicate for each question if it's TRUE or FALSE. Also explain why ? 2^(log n) =O(n^c) , for some constant c 2^(3 log n)=O(n^c) , for some constant c 2^(log^2 n)=O(n^c) , for some constant c

Perform the following computations with the aid of a calculator. -Write the Answers in Scientific Notation. -Round to the nearest decimal. Please see the attached file for the fully formatted problems.

Rewrite each expression with a rational denominator Please see the attached file for the fully formatted problems.

1. Eight points, A, B, C, D, E, F, G, and H are distributed in a plane. Exactly five of the points are on line l1, exactly three are on line l2, and exactly three are on line l3. Are the three lines concurrent? Justify answer.

Improving the Quadratic Formula. Show that these roots can be calculated with the equivalent formulas... (See attachment for full question including Hint)

The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. 12. Improving the quadratic formula... Please see attached.

Write the next two terms in the pattern 6,250 1,250 250 50 Find the GCF 140, 180 Find the LCM 7, 11, AND 21

1- suppose you have 45 muffins. how many muffins are left after you give a friend 1/5 of them? 2- a baker at rod's bakery misread the directions and used 5 3/4 cups of flour in a recipe. it was 1 3/4 times too much flour. how much flour should the baker have used? 3- solve the equation. check the solution: x/3=

(r+6)^3-216 then 7(3k-1)^2+26(3k-1)-8

4. By choosing specific nonzero values of z1 and z2, show that ... is not always valid when log is replaced by Log. Please see the attached file for the completely formatted problems. Others are attached.

If sinx and cosx are the roots of the equation ax^2 + bx + c = 0 then prove that a^2 - b^2 + 2ac = 0

I need a sequence of transformations that will transform the graph of 'f' into the graph of 'g' where f(x)=x[squared]+1 and g(x)=(x+3)[squared]-4. m(x)= [the sqare root of] (4x+12) [divided by] (2x[squared]-7x+5). (I need to find the domain of m, using interval notation).

1) Let S= {b ,b ,...........b } satisfies b j+1 >2b j for all j =1,2,3,.......n-1. Prove that S is a superincreasing sequence. ≡ 2) Prove that n E N with n ≥ 3 is prime if and only if there exists an integer m such that m^(n-1) ≡ 1 (mod n)^((n-1)/q) but m is not ≡ ( mod n) for any prime q| (n-1)

Please explain how I make this work via my TI-30 (or any calculator for that matter). I dont understand how to "punch" it in. 10 Log 1.9X10^-4 / 1X10^-12 the answer is 82.8 Thank you for helping me get to this answer.

Bonnie drove 540 miles in three times the time it took Buffy to travel 135 miles. Buffy's speed was slower than Bonnie's by 15 miles per hour. Find the rate and time of each.

Without computing the characteristic polynomial, explain why the matrix A below has 0 as eigenvalue; then find a basis for the corresponding eigenspace. A = 1 -1 1 -1 1 -1 1 -1 1

Function A Function B ------------ ----------- n^1/3 6 log(n) is A=O(B) ? Yes/No is A=o(B) ? Yes/No is A=Big Omega(B) ? Yes/No is A=Small Omega(B) ? Yes/No is A=Theta(b) ? Yes/No Also the same for the following pai

Please walk me through this. 6x^4 + 9x^3 + 2x^2 - 8x + 7 / 3x^2 - 2

Please simplify the attached expressions. Thanks

Please solve: {(a-2/3a^4)/(5a-10/27a)} Thanks!

I am trying to determine and prove the general law for the following sequence: I would like to express it in notation. 1+2=3 4+5+6=7+8 9+10+11+12=13+14+15 16+17+18+19+20=21+22+23+24

Select and justify the use of energy methods to molve motion problems.. Please see attached.

1. [sin(x+b) + cos(x+b)]/[cos(x+b)-sin(x+b)]= 2. cos^2(x+b)-cos^2(x-b)= 3. tan x + cot 2x = 4. tan (45 + x) -tan (45 -x)= 5. tanx - cotx + cot 2x = Plus two more...

Divide (12a squared - 25a -7 divided by (3a-7) (x cubed - 6x sqyared + 7x -2 divided by (x-1) A circle has a radius of 10 inches. Find the increase in area that occurs when the radius is increased by 2 in. Round to the nearest hundredth. An object is released from the top of an building 320 ft high. The initial velocity