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Expanding using binomial theorem

1. (3x - 4)^5 2. (m^2+ 2n)^4-1) (3x - 4)^5 =5C0(3x)^5 + 5C1(3x)^4*(-4) + 5C2(3x)^3*(-4)^2 + 5C3(3x)^2*(-4)^3 + 5C4(3x)(-4)^4 + 5C5(-4)^5 = 243 x^5 - 5*(81)x^4*(4) + 10*(27)x^3*(16) - (10)*9x^2(64)

How to simplify this math problem

i am trying to do this problem but i am getting 4 (5+2)^2 / ( - 5^2 - 3^2)-7^2/-8^2 49/64 Simplify that.-Answer is 49/16 assuming that in the second part the problem is: (-5)^2 - 3^2 = 25-9 = 16--49

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Oil is leaking from an oil well at the bottom of a 300-foot deep lake and forms an oil slick that takes the form of a right circular cone.The radius on the lakes surface is increasing at 10ft/min at t

Could someone answer this math problem

A wanderer hikes due east for 2 mi, then southeast for 3 mi, then due north for 6 mi, then southwest for 6 mi. She then notices a storm gathering. How far is she from her starting point?-too far to be

Can you help me with these math problem ?10 points

If the distance from the top of a building to the tip of its shadow is 50 feet and the sun makes a 75 degree angle with the wall as shown in the image below, what is the length of its shadow? http://

''Need help in math !!!!!!!!!!!!!!!!!!!'' again with integers

Explain how to find the differencenegative 8 subtract positive 9 ??-Imagine a number line with negative numbers on the left and positive numbers on the right.If it helps, actually draw one and label t

What are the necessary conversions

What are the necessary conversions? degrees F to degrees C cups in a quart oz in a cup quarts in a gallon oz in a lb ft in a yd cups in a gallon pints in a gallon pt in a quart lbs in a ton inches in

Maths formula help?!!!

given C =2╥r, ╥ =3.14and r = 1.2, find Cplease show how to do ittt-C= 2*3.14*1.2 =7.536-C = 2*pi*r pi = 3.14 r = 1.2 C = 2*3.14*1.2 = 7.536 (Please save me from society)-3.14 1.2 ____ 0628 3140 ___

Solve ; 1 + (cotx)^2 = 2 (tanx)^2

csc²(x) = 1 + cot²(x), so your equation is csc²(x) = 2tan²(x) ==> csc(x) = ±√(2) tan(x) ==>(use csc(x) =1/sin(x) and tan(x) = sin(x)/cos(x)) cos(x) = ±√(2) sin²(x) = ±√(2)(1 - cos²(x)) ==> (√(2)c

Exponent function help

I have a question regarding the plot of a exponent function. Basically, how do you construct the graph? Lets say we have: y=2^x Should I just make a table, insert some x values, lets say x|-3|-2|-1|1|

What's the indefinite integral of x^3 / (x^4 - 1)

Steps please :)-Using mental substitution, integral of x^3 / (x^4 - 1) dx = integral of (1/4) (x^4 - 1) / (x^4 - 1) dx = (1/4)ln|x^4 - 1| + c-Consider the derivative of x^4 - 1 which is 4x^3 Multiply

A number cube is rolled twice

Its like tree chart and I think its like dice-A number cube is a D6, rolling it twice gives 6x6=36 possible combinations of which (6 identical pairs and 15 distinct pairs) 21 are unique. If the cube

Normal Distribution and Mean

Having a little Statistics homework trouble. Let X denote the outstanding balances of customers of a firm. From past experiences X is well approximated by a normal distribution with mean 45 and varia

To multiply a whole number by a radical, do you multiply the whole number by the number outside the radical

Say you have a whole number, lets call it x, and a radical number, lets make it y√z. If you wanna multiply those two, would the answer simply be: x times y√z ?-exactly, and take it a step further: x

One leg of a right triangle is 4in. long& and the hypotenus is 5in. long. What is the area of the triangle

You need base and height to determine area. You have a right triangle; you can use the Pythagorean theorem to determine the length of the other leg. a^2 + b^2 = c^2 4^2 + b^2 = 5^2 16 + b^2 = 25 b^2
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