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March 23, 2017

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Posts by Bosnian

Total # Posts: 2,401

math
a triangular prism
March 21, 2017

Math
In google type: math limit calculator online When you see list of results click on: Limit Calculator - eMathHelp When page be open in rectangle type you funcktion and click option CALCULATE You will see solution step-bystep By the way square root is write sqrt not just root. ...
March 21, 2017

math
If it is an isosceles triangle the two base angles will be equal. Let the base angle be a, then the vertex angle will be: 180° - 2 a According to the condition: Top vertex is twice the of the sum of the base angle: 180° - 2 a = 2 ( a + a ) 180° - 2 a = 2 * 2a 180&...
March 21, 2017

Mathematics
Did you ever heard about google? Paste your question in google and you will find couple proves.
March 16, 2017

Pre-cal
a = first number b = second number b = 2 a - 5 b + a ^ 2 = 115 2 a - 5 + a ^ 2 = 115 - 5 + a ^ 2 + 2 a = 115 Subtract 115 to both sides - 5 + a ^ 2 + 2 a - 115 = 115 - 115 - 5 + a ^ 2 + 2 a - 115 = 0 Try to slove this equation. The solutions are : a = - 12 and a = 10 - 12 isn...
March 15, 2017

MATH HELP! CHECK MY ANSWER ASAP!
1. V = l w h Divide both sides by l w V / l w = h 2. x = y + z Subtract y to both sides x - y = y + z - y x - y = z 3. r t = d Divide both sides by t r = d / t r = 7.5 / 1.5 = 5 mph
March 15, 2017

m240
If -2x3 mean: - 2 x^3 your answer is correct.
March 14, 2017

m240
Correct answer.
March 14, 2017

math
t = total practice time s = shooting practice time d = dribbling practice time s = ( 7 / 10 ) t = 0.7 t d = t - s = t - 0.7 t = 0.3 t d = 18 min 0.3 t = 18 Divide both sides by 0.3 t = 18 / 0.3 = 60 min s = 0.7 t = 0.7 * 60 = 42 min
March 14, 2017

math
L1 = Length of the first rectangle W1 = Width of the first rectangle A1 = Area of the first rectangle L2 = Length of the second rectangle W2 = Width of the second rectangle A1 = Area of the second rectangle L1 = 2 W1 A1 = L1 * W1 = 2 W1 * W1 = 2 W1 ^ 2 L2 = L1 + 3 = 2 W1 + 3 ...
March 14, 2017

Algebra 1
1. ( a + b ) ^ 2 = a ^ 2 + 2 a * b + b ^ 2 so ( 3 ?6 + 5 ?10 ) ^ 2 = ( 3 ?6 ) ^ 2 + 2 * 3 ?6 * 5 ?10 + ( 5 ?10 ) ^ 2 ( 3 ?6 + 5 ?10 ) ^ 2 - 286 + 60 ?15 = ( 3 ?6 ) ^ 2 + 2 * 3 ?6 * 5 ?10 + ( 5 ?10 ) ^ 2 - 286 + 60 ?15 = 3 ^ 2 * 6 + 6 * ?6 * 5 ?10 + 5 ^ 2 * 10 - 286 + 60 ?15 = ...
March 13, 2017

Math
a = numbers of adults s = number of students 120 people attended the baseball game mean: a + s = 120 Adults cost $6 and students cost $4 to attend the game. The game raised $600 from the attendance mean: a * &6 + s * $4 = $600 OR 6 a + 4 s = 600 Now you must solwe system: a + ...
March 13, 2017

HELP MATH
Let x be the amount of money he has. Let m be price of one mango. Let o be price of one orange. Suppose he can just buy n of each fruit. Then: n * m + n * o = x You know 20 mangoes cost x so m = x / 20 likewise o = x / 30 So you have: n * m + n * o = x n * x / 20 + n * x / 30...
March 13, 2017

D S S LIMAWA MINNA NIGER STATE
mass = m = 20 g = 20 / 1000 = 0.02 kg speed = v = 150m/s The workdone to stop bullet must be equal to its kinetic energy: W = m v ^ 2 / 2 W = 0.02 * 150 ^ 2 / 2 = 0.02 * 22500 / 2 = 450 / 2 = 225 J 225 Joules
March 13, 2017

Math
A A C
March 13, 2017

Math
1. 40% = 40 / 100 = 0.4 85 / 0.4 = 212.5 ANSWER A 2. 5% = 5 / 100 = 0.05 0.05 * 1250 = 62.5 Answer A 3. 6.25% = 6.25 / 100 = 0.0625 0.0625 * 249.99 = 15.624375 15.624375 + 249.99 = 265.614375 OR Price of a desk = 100% Tax rate = 6.25% Total price = 100% + 6.25% = 106.25% = 106...
March 13, 2017

math
1 - 1 / 3 = 3 / 3 - 1 / 3 = 2 / 3 2 / 3 * 12 = 24 / 3 = $8
March 13, 2017

math
If you think about triangular numbers then: xn = n ( n + 1 ) / 2 n = 1 x1 = 1 * ( 1 + 1 ) / 2 = 1 * 2 / 2 = 2 / 2 = 1 1 is less than 10. n = 2 x2 = 2 * ( 2 + 1 ) / 2 = 2 * 3 / 2 = 6 / 2 = 3 3 is less than 10. n = 3 x3 = 3 * ( 3 + 1 ) / 2 = 3 * 4 / 2 = 12 / 2 = 6 6 is less than...
March 13, 2017

Algebra
a1 = 25 an = a1 + ( n- 1 ) d a20 = a1 + ( 20 - 1 ) d 500 = 25 + 19 d Subtract 25 to both sides 500 - 25 = 25 + 19 d - 25 475 = 19 d Divide both sides by 19 475 / 19 = d 25 = d d = 25
March 13, 2017

Math
If you think about this question: Winnie wrote the following riddle: I am a number between 60 and 100. My ones digit is two less than my tens digit. I am a prime number. Part A What number does Winnie’s riddle describe? Explain. Part B Winnie’s friend Marco guessed ...
March 12, 2017

MATH
All answers is correct.
March 8, 2017

Algebra 2
Multiply first equation by ? 1 The result: 2 x - 2 y - 3 z = 0 Add the result to the second equation 2 x - 2 y - 3 z = 0 + - 2 x - y + z = - 3 _______________ 0 - 3 y - 2 z = - 3 - 3 y - 2 z = - 3 Add the first equation to the third equation - 2 x + 2 y + 3 z = 0 + 2 x + 3 y...
March 8, 2017

Math
W = L - 22 A = L ( L - 22 ) L = 39 in A = L ( L - 22 ) = 39 ( 39 - 22 ) = 39 * 17 = 663 in ^ 2
March 7, 2017

maths(PLEASE HELP!)
LCD = 12 1 / 3 = 1 * 4 / 3 * 4 = 4 / 12 3 / 4 = 3 * 3 / 4 * 3 = 9 / 12 5 / 12 = 5 / 12 1 / 2 = 1 * 6 / 2 * 6 = 6 / 12 5 / 6 = 5 * 2 / 6 * 2 = 10 / 12
March 4, 2017

calculus
a L = ? [ sqrt 1 + ( y´ )^ 2 ] dx b In this case: y´= 3 * 5 * x ^ 2 + 9 = 15 x ^ 2 + 9 1 + ( y´ )^ 2 = 1 + ( 15 x ^ 2 + 9 ) ^ 2 a = - 3 b = 1 f(x) = sqroot [ 1 + ( 15 x ^ 2 + 9 ) ^ 2 ]
March 4, 2017

math
Ask Pirates of the Caribbean.
March 3, 2017

maths
Profit of 10% = 100% + 10% = 110% Loss of 10% = 100% - 10% = 90% Let selling price of each table be x Total selling price = 2 x Total cost price = 100 x /110 + 100 x / 90 = 9 * 100 x / ( 11 * 90 ) + 100 * 11 x / ( 90 * 11 ) = 900 x / 990 + 1100 x / 990 = 2000 x / 990 = 10 * ...
March 3, 2017

Math help plz?!!
arcsin(0.89) = 1.09734517 radians arcsin(0.89)= 62.87325° arcsin(0.89)= 62.87° to the nearest hundredth of a degree
March 3, 2017

math
t = tulips r = roses c = carnations For every 10 tulips, there are 4 roses and 6 carnation mean: r = ( 4 / 10 ) t = 0.4 t c = ( 6 / 10 ) t = 0.6 t t + r + c = 100 t + 0.4 t + 0.6 t = 100 2 t = 100 Divide both sides by 2 t = 100 / 2 = 50 tulips r = 0.4 * 50 = 20 roses c = 0.6...
March 3, 2017

Maths
Volume of a cube side 3 cm = 3 ^ 3 = 27 cm ^ 3 Volume of a cube side 1 / 2 cm = ( 1 / 2 ) ^ 3 = 1 / 8 cm ^ 3 27 / ( 1 / 8 ) = 27 * 8 = 216 cubes OR 3 cm / ( 1 / 2 ) cm = 6 6 ^ 3 = 216 cubes
March 3, 2017

Math
Triangular pyramid
March 3, 2017

Math(precalc)
4 ^ ( 4 x - 3 ) = 3 ^ ( 9 x - 6 ) ( 2 ^ 2 ) ^ ( 4 x - 3 ) = 3 ^ ( 9 x - 6 ) Take the natural logarithm of both sides and use the identity: log ( a ^ b ) = b * log a log 2 ^ 2 = 2 * log ( 2 ) log [ ( 2 ^ 2 ) ^ ( 4 x - 3 ) ] = log ( 2 ^ 2 ) * ( 4 x - 3 ) = 2 * log ( 2 ) * ( 4 x...
March 2, 2017

Math
If your figure a circle then: C = d * pi C = 23 * 3.1415926535 = 72.2566310305 ft approximate = 72 ft
February 28, 2017

calculus
Correct answer? Quotient Rule for Derivatives: [ f ( t ) / g ( t ) ] ´ = g ( t ) * f ´( t ) - f ( t ) * g ´( t ) / g ( t ) ^ 2 In this case g ( t ) = c + t so: w ( t )´ = [ ( c + t ) * f´( t ) - f ( t ) * ( c + t )´ ] / ( c + t ) ^ 2 = [ ( c...
February 28, 2017

Maths
g = numbers of girls b = number of boys There are 15 more boys than girls mean: b = g + 15 The ratio of the number of girls to the number of boys in a sports club is 3:6 mean: g / b = 3 / 6 3 / 6 = 1 / 2 so: g / b = 1 / 2 Replace b = g + 15 in this equation. g / ( g + 15 ) = 1...
February 28, 2017

Math Plz help ASAP
1) p = 3 f 2) 2 x + 3 3) -7 x 4) y = 3 x for x = 0 , y = 3 * 0 = 0 for x = 1 , y = 3 * 1 = 3 for x = 2 , y = 3 * 2 = 6 for x = 3 , y = 3 * 3 = 9 0 , 3 , 6 , 9 Answers: B C A [ if y = -7 x ] B
February 28, 2017

math 1
9 x - 4 y = - 3 Multiply both sides by 8 72 x - 32 y = - 24 8 x - 3 y = - 1 Multiply both sides by 9 72 x - 27 y = - 9 72 x - 32 y = - 24 - 72 x - 27 y = - 9 ___________________ - 32 y - ( - 27 y ) = - 24 - ( - 9 ) - 32 y + 27 y = - 24 + 9 - 5 y = - 15 Divide both sides by - 5...
February 28, 2017

math 1
Correct answer. But 82=-82 Isn't correct. Least Common Denominator of 6 and 8 is 24, not 48. 6 x + 8 y = 4 Multiply both sides by 4 24 x + 32 y = 16 8 x - 3 y = 19 Multiply both sides by - 3 - 24 x + 9 y = - 57 24 x + 32 y = 16 + - 24 x + 9 y = - 57 ___________________ 41 ...
February 28, 2017

math
a) x = numbers of marbles when the container is filled ( 3 / 5 ) x = 45 Multiply both sides by 5 3 x = 5 * 45 3 x = 225 Divide both sides by 3 x = 225 / 3 x = 75 b ) 2 / 5 marbles are needed to completely fill. ( 2 / 5 ) * 75 = 2 * 75 / 5 = 150 / 5 = 30 OR a) 3 / 5 = 2 * 3 / 2...
February 28, 2017

math 1
Correct answer
February 28, 2017

Math
1. ? 13 ^ 2 = 13 3 ? 13 ^ 2 = 3 * 13 = 39 2. ( 2 / 3 ) ^ 5 = ( 2 / 3 ) ^ 4 * ( 2 / 3 ) = [ ( 2 / 3 ) ^ 2 ] ^ 2 * ( 2 / 3 ) ? ( 2 / 3 ) ^ 5 = ? [ ( 2 / 3 ) ^ 2 ) ^ 2 ] * ? ( 2 / 3 ) = ( 2 / 3 ) ^ 2 * ? ( 2 / 3 ) = ( 4 / 9 ) * ? ( 2 / 3 ) = 4 * ? ( 2 / 3 ) / 9 = 4 * ? 2 / 9 * ? 3
February 28, 2017

Math
A. Flat doesn't change 2 changes with x y = 2 x + 5 B. y-intercept is a point on the graph where x is zero. y = 2 * 0 + 5 = 0 + 5 = 5 x = 0 , y = 5 x-intercept is a point on the graph where y is zero. 2 x + 5 = 0 2 x = - 5 x = - 5 / 2 = - 2 .5 x = - 2.5 , y = 0 Draw ...
February 24, 2017

Math
x = first number x + 1 = second number 1 / x + 1 / ( x + 1 ) = 17 / 72 [ 1 * ( x + 1 ) + 1 * x ] / [ x * ( x + 1 ) ] = 17 / 72 [ ( x + 1 ) + x ] / [ x * x + x * 1 ) ] = 17 / 72 ( 2 x + 1 ) / ( x ^ 2 + x ) = 17 / 72 Multiply both sides by 72 72 * ( 2 x + 1 ) / ( x ^ 2 + x ) = ...
February 24, 2017

math
2 ^ ( - 3 x ) = 1 / 2 ^ ( 3 x ) = 1 / 4 so: 2 ^ ( - 3 x ) = 1 / 4 1 / 2 ^ ( 3 x ) = 1 / 4 Take reciprocials of both sides: 2 ^ ( 3 x ) = 4 2 ^ ( 3 x ) = 2 ^ 2 Take the logarithm base 2 of both sides 3 x = 2 Divide both sides by 3 x = 2 / 3
February 24, 2017

Calculus
A constant factor within an integrand can be separated from the integrand and multiplied by the integral. In this case: integral [ ( 1 / 2 ) * e ^ ( t / 2 ) dt ] = 1 / 2 integral e ^ ( t / 2 ) Substitute: u = t / 2 du = dt / 2 Multiply both sides by 2 2 du = dt dt = 2 du 1 / 2...
February 23, 2017

math
a = first numbner b = second number b = 3 a a + b = 20 a + 3 a = 20 4 a = 20 Divide both sides by 4 a = 5 b = 3 a = 3 * 5 = 15 The two numbers: 5 and 15
February 23, 2017

Algebra
3 n ^ 2 + 21 n = 3 n * n + 3 n * 7 = 3 n ( n + 7 ) 6 n ^ 2 + 18 n = 6 n * n + 6 n * 3 = 6 n ( n + 3 )
February 23, 2017

math
52 % of 825 = ( 52 / 100 ) * 825 = 52 * 825 / 100 = 42900 / 100 = 429 boys When more boys joined the school numbers of boys will be: 429 + x total number of pupils will be 825 + x ( 429 + x ) / ( 825 + x ) = 64 % = 64 / 100 = 0.64 ( 429 + x ) / ( 825 + x ) = 0.64 Multiply both...
February 23, 2017

Math
The ratio: 5 : 3 : 2 5 + 3 + 2 = 10 5 / 10 = 0.5 = 50 % peanuts 3 / 10 = 0.3 = 30 % walnuts 2 / 10 = 0.2 = 20 % cashews 0.3 * 12 = 3.6 Answer c
February 20, 2017

calculus
v = ds / dt = s´(t) = 1/ ( 1 + t ) ^ 2
February 20, 2017

math
12 days / 10 days = 12 / 10 = 1.2 1.2 * 20 men = 24 men
February 20, 2017

math
t1 = 75 = results of the first test t2 = 81 = results of the secondt test t3 = 88 = results of the third test t4 = 92 = results of the fourth test t = results of the fifth test average of 5 test a = ( t1 + t2 + t3 + t4 + t ) / 5 Nick needs a test average of 80 or better mean...
February 20, 2017

math
N = Present Nancy ages C = Present Cathy ages Nancy is 3 times as old as Cathy mean: N = 3 C In seven years Nancy will be N + 7 yrs old , Cathy will be C + 7 yrs old In seven years, she will be ten years older than Cathy Mean: N + 7 = C + 7 + 10 N + 7 = C + 17 Subtract 7 to ...
February 20, 2017

Math
26
February 20, 2017

Algebra
Every odd integer can be written in the form 2 k + 1 So your first integer is a1 = 2 k + 1 Second integer is a2 = first integer + 2 = a1 + 2 = 2 k + 1 + 2 = 2 k + 3 Third integer is a3 = second integer + 2 = a2 + 2 = 2 k + 3 + 2 = 2 k + 5 Product of the first integer and the ...
February 20, 2017

algebra
x = 5 y = - 2 x + 9 = - 2 * 5 + 9 = - 10 + 9 = - 1 x = 5 , y = - 1
February 19, 2017

algebra
2 x + y = 9 Subtract 2x to both sides 2 x + y - 2 x = 9 - 2 x y = 9 - 2 x y = - 2 x + 9 Now put x values in this formula x = - 3 y = - 2 x + 9 = - 2 * ( - 3 ) + 9 = 6 + 9 = 15 x = - 3 , y = 15 x = 1 y = - 2 x + 9 = - 2 * 1 + 9 = - 2 + 9 = 7 x = 1 , y = 7 x = 4 y = - 2 x + 9...
February 19, 2017

math
Correction y > ( 99 / 13 ) / - 15 y > - 99 / 13 * 15 y > - 33 * 3 / 13 * 5 * 3 y > - 33 / 13 * 5 y > - 33 / 65
February 19, 2017

math
If ?15/9y < 11/13 mean: ?( 15 / 9 ) y < 11 / 13 then multiply both sides by 9 - 15 y < 99 / 13 Divide both sides by - 15 When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality. y > ( 99 / 13...
February 19, 2017

math
J = Justin's age S = Sam's age Justin is 3 years older then Sam mean: J = S + 3 Justin’s age in 2 years will be twice what Sam’s age was 3 years ago mean: J + 2 = 2 ( S - 3 ) Replace J = S + 3 in this equation. S + 3 + 2 = 2 * S - 2 * 3 S + 5 = 2 S - 6 ...
February 19, 2017

math
R = L + 6 R + 5 + L + 5 = 2 ( R - 4 + L - 4 ) R + L + 10 = 2 ( R + L - 8 ) R + L + 10 = 2 * R + 2 * L - 2 * 8 R + L + 10 = 2 R + 2 L - 16 Replace R = L + 6 in this equation L + 6 + L + 10 = 2 ( L + 6 ) + 2 L - 16 2 L + 16 = 2 * L + 2 * 6 + 2 L - 16 2 L + 16 = 2 L + 12 + 2 L - ...
February 19, 2017

maths
25 m
February 19, 2017

algebra
a = first integer a + 1 = second integer a + 2 = third integer first integer + third integer: a + a + 2 = 16 2 a + 2 = 16 Subtract 2 to both sides 2 a + 2 - 2 = 16 - 2 2 a = 14 Divide both sides by 2 a = 14 / 2 = 7 Three consecutive integers are 7, 8 , 9 7 + 9 = 16
February 19, 2017

math
x = present age One half of her age two years from now: ( x + 2 ) / 2 One third of her age three years ago: ( x - 3 ) / 3 ( x + 2 ) / 2 + ( x - 3 ) / 3 = 20 Multiply both sides by 2 2 * ( x + 2 ) / 2 + 2 * ( x - 3 ) / 3 = 20 * 2 ( x + 2 ) + 2 * ( x - 3 ) / 3 = 40 Multiply both...
February 19, 2017

Math
V = L * W * D V = 25 * 10 * 2 = 500 m ^ 3
February 19, 2017

Ordinary Differential Equation
Straight line in slope intercept form: y = m x + b Differentiate: dy = m dx + 0 dy = m dx dy / dx = m
February 19, 2017

algebra
1) b = ? ( c ^ 2 - a ^ 2 ) b = ? ( 20 ^ 2 - 15 ^ 2 ) b = ? ( 400 - 225 ) b = ? ( 175 ) b = ? ( 7 * 25 ) b = ? 7 * ? ( 25 ) b = ? 7 * 5 2) c = ? ( a ^ 2 + b ^ 2 ) c = ? ( 9 ^ 2 + 12 ^ 2 ) c = ? ( 81 + 144 ) c = ? ( 225 ) c = 25
February 16, 2017

math
L1 = Length of 1st piece L2 = Length of 2st piece L3 = Length of 3st piece The 1st piece is 4.25 feet longer than the second piece mean: L1 = L2 + 4.25 The 3rd piece is 2.24 feet longer than the second mea. L3 = L2 + 2.24 L1 + L2 + L3 = 10 ft L2 + 4.25 + L2 + L2 + 2.24 = 10 3 ...
February 12, 2017

math
Aare you kidding? 78 + 99 = 177 100 - 98 = 2 ( 78 + 99 ) + ( 100 - 98 ) = 177 + 2 = 179
February 12, 2017

math
13 x ? 6 y = 2 Multiply both sides by 4 52 x - 24 y = 8 3 x ? 4 y = ? 10 Multiply both sides by - 6 - 18 x + 24 y = 60 Now solve system: 52 x - 24 y = 8 - 18 x + 24 y = 60 52 x - 24 y = 8 + - 18 x + 24 y = 60 __________________ 34 x + 0 = 68 34 x = 68 Divide both sides by 34 x...
February 11, 2017

Math
7 / 10 = 7 * 4 / 10 * 4 = 28 / 40 11 / 20 = 11 * 2 / 20 * 2 = 22 / 40 4 / 5 = 4 * 8 / 5 * 8 = 32 / 40 Smallest to largest: 22 / 40 , 28 / 40 , 32 / 40 11 / 20 , 7 / 10 , 4 / 5
February 11, 2017

slope intercept, math
The two-point form of a line passing through the points (x1 , y1 ) and ( x2 , y2 ) is given by: y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 ) In this case: x1 = 4 , y1 = 7 x2 = - 5 , y2 = - 5 y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 ) y - 7 = [ ( - 5 - 7...
February 11, 2017

math
n = numerator d = denominator A fraction reduces to 2 / 3 when 3 is adding to both its numerator mean: ( n + 3 ) / ( d + 3 ) = 2 / 3 Reduces to 3 / 5 when 1 is added to both its numreator and denominator mean: ( n + 1 ) / ( d + 1 ) = 3 / 5 Now: ( n + 3 ) / ( d + 3 ) = 2 / 3 ...
February 11, 2017

maths
Replace n = 19 in formula 4 n + 3 4 * 19 + 3 = 76 + 3 = 79
February 11, 2017

Math (calc)
In an open box you have square base with area a ^ 2 and 4 rectangle with area a * h where: a = length of base h = height of box Volume of box: V = a ^ 2 * h = 12 ft ^ 3 a ^ 2 * h = 12 Divide both sides by a ^ 2 h = 12 / a ^ 2 Area of an open box: A = a ^ 2 + 4 a * h A = a ^ 2...
February 8, 2017

Math
3 / 4
January 31, 2017

Algebra
0.54 is a rational number = 54 / 100 = 2 * 27 / 2 * 50 = 27 / 50 But if 0.54 mean 0.5454545454 then: 100 * 0.5454545454 = 54.54545454 100 * 0.5454545454 - 0.5454545454 = 99 * 0.5454545454 = 54.54545454 - 0.54545454 = 54 99 * 0.5454545454 = 54 Divide both sides by 99 0....
January 31, 2017

math
18 / ( 2 / 3 ) = 3 * 18 / 2 = 54 / 2 = $27
January 27, 2017

Algebra
1 m = 100 cm 1 cm = 1 m / 100 60.5 / 100 = 0.605 m
January 27, 2017

College Algebra
x + 2 y = 0 Subtract 2 y to both sides x + 2 y - 2 y = 0 - 2 y x = - 2 y x + 2 y = 0 + x + 3 y + z = 1 + - 4 x - y - z = 23 ___________________ - 2 x + 4 y = 24 - 2 * ( - 2 y ) + 4 y = 24 4 y + 4 y = - 24 8 y = 24 Divide both sides by 8 y = 24 / 8 = 3 x = - 2 y = - 2 * 3 = - 6...
January 27, 2017

Algebra
12 - 3 = 9 21 - 12 = 9 31 - 21 = 9 The common difference of successive members is 9 This is arithmetic progression. In arithmetic progression: an = a1 + ( n - 1 ) * d In this case: a1 = 3 , d = 9 an = a1 + ( n - 1 ) * d an = 3 + ( n - 1 ) * 9 an = 3 + 9 n - 9 an = 9 n - 6 n = ...
January 26, 2017

Math
11
January 23, 2017

math
If the initial term of an arithmetic sequence is a1, and the common difference of successive members is d, then the nth term of the sequence is given by: an = a1 + ( n -1 ) * d In this case: a1 = p , a2 = 2 p + 2 , a3 = 5 p + 3 so a2 = a1 + ( 2 -1 ) * d = p + 1 * d = p + d a2 ...
January 22, 2017

Finite math
a = adults c = childrens s = students With a full audience: a + c + s = 900 There were half as many adults as children and students combined mean: a = ( s + c ) / 2 Replace this in equation: a + c + s = 900 ( s + c ) / 2 + c + s = 900 Multiply both sides by 2 s + c + 2 c + 2 s...
January 22, 2017

Basic math
tan ( A + B ) = ( tan A + tan B ) / ( 1 - tan A * tan B ) In this case: A = 2 alpha , B = beta so tan ( 2 alpha + beta ) = [ tan ( 2 alpha ) + tan ( beta ) ] / [ 1 - tan ( 2 alpha ) * tan ( beta ) ] Since the: tan ( 2 alpha ) = 2 * tan ( alha ) / [ 1 - tan ^ 2 ( alpha ) ] put...
January 22, 2017

Algebra 7th grade
(3,4) m = 2 mean x = 3 , y = 4 , m = 2 slope intercept form: y = m x + b 4 = 2 * 3 + b 4 = 6 + b Subtract 6 to both sides 4 - 6 = 6 + b - 6 - 2 = b b = - 2 Now: y = m x + b y = 2 x + ( - 2 ) y = 2 x - 2
January 19, 2017

Algebra
( x - x1 ) ( x - x2 ) = [ x - ( - 2 ) ] ( x - 3 ) = ( x + 2 ) ( x - 3 ) = 0 Answer c.
January 19, 2017

Algebra
The n-th term of a geometric sequence with initial value a and common ratio r is given by: an = a * r ^ ( n - 1 ) a is the first term r is common ratio In this case: a1 = a * r ^ ( 1 - 1 ) = a * r ^ 0 = a * 1 = a a2 = a * r ^ ( 2 - 1 ) = a * r ^ 1 = a * r a3 = a * r ^ ( 3 - 1...
January 15, 2017

Algebra 2
and yes : (base of logarithm)^ log ( x ) = x log 6 (36) = 2 log base (6) (36) = 2 becouse 6 ^ 2 = 36
January 14, 2017

Algebra 2
log ( x ^ n ) = n * log ( x ) log ( 36 ) = log ( 6 ^ 2 ) = 2 * log ( 6 )
January 14, 2017

math
If the initial term of an arithmetic progression is a1 and the common difference of successive members is d, then the nth term of the sequence an is given by: an = a1 + ( n -1 ) * d a1 = 5 a100 = a1 + ( 100 - 1 ) * d = - 292 a100 = 5 + 99 d = - 292 5 + 99 d = - 292 Subtract 5 ...
January 14, 2017

mathematical literacy
( 6 x 3 ) - 4 + 26 ÷ 2 = 18 - 4 + 13 = 14 + 13 = 27
January 14, 2017

Algebra
2 , 6 , 12 , 20... n = 1 a1 = 2 = 1 + 1 = 1 ^ 2 + 1 = n ^ 2 + n n = 2 a2 = 6 = 4 + 2 = 2 ^ 2 + 2 = n ^ 2 + n n = 3 a3 = 12 = 9 + 3 = 3 ^ 2 + 3 = n ^ 2 + n n = 4 a3 = 20 = 16 + 4 = 4 ^ 2 + 4 = n ^ 2 + n an = n ^ 2 + n
January 14, 2017

math
2 * 48 * 1 + 2 * ( 40 - 2 ) * 1 = 96 + 2 * 38 = 96 + 76 = 172 cm ^ 2 OR 2 * 40 * 1 + 2 * ( 48 - 2 ) * 1 = 80 + 2 * 46 = 80 + 92 = 172 cm ^ 2 OR New dimensions of a picture : 48 - 2 = 46 cm and 40 - 2 = 38 cm 48 * 40 - 46 * 38 = 1920 - 1748 = 172 cm ^ 2
January 14, 2017

Maths
l = length w = width P = 2 ( w + l ) If each side is a whole number, then: 1. w = 1 , l = 7 P = 2 ( w + l ) P = 2 ( 1 + 7 ) = 2 * 8 = 16 1 x 7 2. w = 2 , l = 6 P = 2 ( w + l ) P = 2 ( 2 + 6 ) = 2 * 8 = 16 2 x 6 3. w = 3 , l = 5 P = 2 ( w + l ) P = 2 ( 3 + 5 ) = 2 * 8 = 16 3 x ...
January 14, 2017

algebra
x ^ 2 - 3 x = 4 The x-term coefficient = ? 3 The half of the x-term coefficient = ? 3 / 2 After squaring you have ( ? 3 / 2 ) ^ 2= 9 / 4 x ^ 2 - 3 x = 4 Add 9 / 4 to both sides x ^ 2 - 3 x + 9 / 4 = 4 + 9 / 4 x ^ 2 - 3 x + 9 / 4 = 16 / 4 + 9 / 4 x ^ 2 - 3 x + 9 / 4 = 25 / 4 ...
January 7, 2017

math
P = x + 2 x - 1 + 2 x + 1 = 40 5 x = 40 Divide both sides by 5 x = 8 cm 2 x - 1 = 2 * 8 - 1 = 16 - 1 = 15 cm 2 x + 1 = 2 * 8 + 1 = 16 + 1 = 17 cm Largest angle = 90° becouse your triangle is right triangle. Use the Pythagorean theorem. The square of the hypotenuse is equal...
January 6, 2017

Algebra
x ^ 2 * y ^ 2 + x ^ 3 * y ^ 4 = ( 3 x y ) ^ 2 x ^ 2 * y ^ 2 + x ^ 2 * y ^ 2 ( x * y ^ 2 ) = 9 x ^ 2 * y ^ 2 x ^ 2 * y ^ 2 * ( 1 + x * y ^ 2 ) = 9 * x ^ 2 * y ^ 2 Divide both sides by x ^ 2 * y ^ 2 1 + x * y ^ 2 = 9 Subtract 1 to both sides 1 + x * y ^ 2 - 1 = 9 - 1 x * y ^ 2...
January 2, 2017

integral calculus
My typo. Integrate sin ^ 2 (x) dx = x / 2 - sin (2x) / 4 + C
January 2, 2017

integral calculus
If (((cos^2(x)*sin(x)/(1-sin(x)))-sin(x)) mean: cos ^ 2 (x) * sin (x) / [ 1 - sin(x) ] - sin (x) then: cos ^ 2 (x) * sin (x) / [ 1 - sin(x) ] - sin (x) = sin (x) * { cos ^ 2 (x) / [ 1 - sin(x) ] - 1 } = sin (x) * { [ 1 - sin ^ 2 (x) ] / [ 1 - sin(x) ] - 1 } = sin (x) * { [ 1...
January 2, 2017

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