# Bosnian

Popular questions and responses by Bosnian-
## mathematics

Correct, but you can simplify it: 1 kg = 1000 g 1 g = 1 / 1000 kg 15 g = 15 ∙ 1 / 1000 kg = 15 / 1000 kg = 5 ∙ 3 / 5 ∙ 200 kg = 3 / 200 kg 15 g = 3 / 200 kg

*posted on July 14, 2020* -
## Mathematics

d = diameter r = radius Surface area: A = 2 area of circles + 1 area of rectangle = 2 r² π + 2 r π h = 2 r π ( r + h ) r = d / 2 = 10 / 2 = 5 cm A = 2 ∙ 5 ∙ 22 / 7 ∙ ( 5 + 16 ) = 2 ∙ 5 ∙ 22 ∙ 21 / 7 = 660 cm² OR A = 2 area of circles + 1

*posted on July 14, 2020* -
## Mathematics

3 / 5 = 3 / 5 ∙ 10 / 10 = 30 / 50 These two numbers are equal. For the rest you use a calculator. 5 / 8 = 0.625 , 50 / 88 = 0.56818181 These two numbers are not equal. 6 / 11 = 0.545454545 , 66 / 110 = 0.6 These two numbers are not equal. 7 / 12 =

*posted on July 14, 2020* -
## math

If your system of equations is: 3 x² - 3 y = 0 and - 3 x + 3 y² = 0 then 3 x² - 3 y = 0 Divide both sides by 3 x² - y = 0 Add y to both sides x² = y y = x² - 3 x + 3 y² = 0 Divide both sides by 3 - x + y² = 0 Replace y with x² - x + ( x²)² = 0 -

*posted on July 11, 2020* -
## World History

France and Germany fought In the Battle of Verdun. Russia and Austria-Hungary fought in Brusilov Offensive. Britain and France fought against Germany in the Battle of the Somme.

*posted on July 11, 2020* -
## Algebra

1.5 ∙ 10⁶ / ( 2.5 ∙ 10⁻⁴ ) = ( 1.5 / 2.5 ) ∙ 10⁶ / 10⁻⁴ = 0.6 ∙ 10⁶ / ( 1 / 10⁴ ) = 6∙ 10⁻¹ ∙ 10⁶ ∙ 10⁴ = 6 ∙ 10 ⁻¹ ⁺ ⁶ ⁺ ⁴ = 6 ∙ 10⁹

*posted on July 10, 2020* -
## geometry

Formula is: A = | [ Ax ( B y - Cy ) + Bx ( Cy - Ay ) + Cx ( A y - By ) ] / 2 | where: Ax and Ay are the x and y coordinates of the point A Bx and By are the x and y coordinates of the point B Cx and Cy are the x and y coordinates of the point C Two

*posted on July 7, 2020* -
## Math

x = number of items He have: x / 5 of granola and x / 2 popcorn x / 5 + x / 2 = 2 x / 10 + 5 x / 10 = 7 x / 10 He had 7 x / 10 granola and popcorn. The rest = 10 x / 10 - 7 x / 10 = 3 x / 10 The rest were divided equally among apples, rice cake, and

*posted on July 7, 2020* -
## math

If write your number as: a b a The product is: a ∙ b ∙ a = a² ∙ b = 8 The factors of 8 are: 1, 2, 4, 8 a² and b could be any of the factors listed. But in your task a² ∙ b = 8, so a² can be only 1 and 2 becouse: for a = 4 the product is greater

*posted on July 7, 2020* -
## Math

PH = Numbers of doors on Pang’s Honda PT = Numbers of doors on Pang’s Toyota PM = Numbers of doors on Pang’s Mazda FH = Numbers of doors on Farid’s Honda FT = Numbers of doors on Farid’s Toyota FM = Numbers of doors on Farid’s Mazda HH =

*posted on July 6, 2020* -
## Mathematics

Bearings are a measure of direction, with North taken as a reference. Draw vertical line, then draw a straight line at an angle of 75° to the vertical, and draw arrow. Of course, this line will be at an angle of 90° - 75° = 15° to the horizontal, but

*posted on July 3, 2020* -
## algebra

My typo. b is not - 93 b = - 96 a = 0.3 , b = - 96 , c = 26 919

*posted on July 2, 2020* -
## algebra

The vertex is the minimum or maximum point of a parabola. The formula to find the vertex is, where a, b and c are values in the standard form of quadratic equation is: x min/max = - b / 2a If a > 0, then the parabola the y-value of the vertex is the

*posted on July 2, 2020* -
## math

1 + 4 x⁻⁶ = x⁻⁶ + 4 1 + 4 / x⁶ = 1 / x⁶ + 4 Subtract 1 from both sides: 4 / x⁶ = 1 / x⁶ + 3 Multiply both sides by x⁶: 4 = 1 + 3 x⁶ Subtract 1 from both sides: 3 = 3 x⁶ Divide both sides by 3: 1 = x⁶ Subtract 1 from both

*posted on June 29, 2020* -
## Mathematics

log ( x ∙ y ) = log x + log y log ( x ∙ y² ) = log x + log ( y² ) = log x + 2 log y log x + log ( x ∙ y ) + log ( x ∙ y² ) = log x + log x + log y + log x + 2 log y In A.P: an = a1 + ( n - 1 ) ∙ d in this case: a1 = log x , d = log y Proof: a1

*posted on June 24, 2020* -
## mathematics

f(x) = 4x when x ≤ 0 f(x) = 4 x when x > 0 | x | is always positive so 4 | x | is also always positive. 4 | x | = 4 x for all value of variable x.

*posted on June 9, 2020* -
## math

I have no idea what your question means. Arithmetic operations give the result: - 1 + 5 x - 9 ( - 2 + 5 x ) = a x + b - 1 + 5 x - 9 ∙ ( - 2 ) - 9 ∙ 5 x = a x + b - 1 + 5 x + 18 - 45 x = a x + b - 40 x + 17 = a x + b a = - 40 , b = 17

*posted on June 9, 2020* -
## Algebra

( - 3 y + 2 ) ∙ ( y + 3 ) = - 3 y ∙ ( y + 3 ) + 2 ∙ ( y + 3 ) = - 3 y ∙ y - 3 y ∙ 3 + 2 ∙ y + 2 ∙ 3 = - 3 y² - 9 y + 2 y + 6 = - 3 y² - 7 y + 6 Answer A.

*posted on June 9, 2020* -
## Calculus

In google paste: online math integration calculator When you see list of results click on Integral Calculator • With Steps When page be open in rectangle Calculate the Integral of … paste: x^2 (e^(4x) + 3) and click Go! When you see results click on:

*posted on June 8, 2020* -
## Mathematics

a1 = 1 , a11 = 25 The n-th term of A.P. an = a1 + ( n - 1 ) d In this case: a11 = a1 + ( 11 - 1 ) d a11 = a1 + 10 d 25 = - 3 + 10 d Add 3 to both sides 28 = 10 d Divide both sides by 10 2.8 = d d = 2.8 Your A.P: - 3 , - 0.2 , 2.6 , 5.4 , 8.2 , 11 , 13.8 ,

*posted on June 8, 2020* -
## Maths

This equation cannot be solved. First derivative is: x^x ∙ [ ln( x ) +1 ] + [ ln ( 7 - x ) -1 ] ∙ ( 7 - x )^( 7 - x ) First derivative = 0 in point x = 3.5 Second derivative is: x^x ∙ [ ln ( x ) + 1 ]^2 + x^( x -1 ) - ( 7 - x )^( 6 - x ) - [ ln ( ( 7

*posted on June 4, 2020* -
## Mathematics

h = height r = radius d = diameter tan 62° = h / r Multiply both sides by r r ∙ tan 62° = h Divide both sides by tan 62° r = h / tan 62° r = 8 / 1.88072646535 r = 4.25369 cm d = 2 r = 2 ∙ 4.25369 cm = 8.50738 cm d ≈ 8.5 cm

*posted on June 4, 2020* -
## Algebra

1. m = tan θ m = ( y2 - y1 ) / ( x2 - x1) In this case: x1 = - 6 , y1 = 6 x2 = 3 , y2 = 3 m = ( y2 - y1 ) / ( x2 - x1) m = ( 3 - 6 ) / [ 3 - ( - 6 ) ] m = - 3 / ( 3 + 6 ) m = - 3 / 9 m = 3 ∙ ( - 1 ) / 3 ∙ 3 m = - 1 / 3 y - y1 = m ( x - x1 ) y - 6 = (

*posted on June 4, 2020* -
## Maths

4 c - 3 d = 1 , 2 c + 4 d = 17 Multiply the second equation by 2. 4 c + 8 d = 34 Now: 4 c - 3 d = 1 - 4 c + 8 d = 34 _____________ 4 c - 4 c - 3 d - 8 d = 1 - 34 - 11 d = - 33 Divide both sides by -11. - 11 d / - 11 = - 33 / - 11 d = 3 Now let's plug d = 3

*posted on June 4, 2020* -
## maths

This is hard to explain in words. That's why in google paste: math L-shaped room calculator When you see list of results click on: L-Shape - Geometry Calculator - Rechneronline When page be open in rectangle: Long outer side (a) type 8 In rectangle: Short

*posted on June 4, 2020* -
## math

The minimum number in one box would be 4 + 3 = 7, and in the other it would be 3 + 2 = 5 Now, find the least common multiple of those two, which is 7 ∙ 5 = 35 So in each box, there are 35 pictures. H = hockey players B = basketball players In one box,

*posted on June 1, 2020* -
## Math

Your answer is correct. Input , Output - 1 - 1 = - 2 0 - 1 = - 1 1 - 1 = 0 2 - 1 = 1

*posted on May 29, 2020* -
## Math

H = hundreds T = tens O = ones Your number: HTO I have 6 hundreds: H = 6 I have 3 more tens than hundreds: T = H + 3 T = 6 + 3 T = 9 I have two fewer hundreds than ones: H = O - 2 6 = O - 2 Add 2 to both sides 8 = O O = 8 Your number: HTO 698

*posted on May 26, 2020* -
## mathematics

The sum of the measures of the angles is 180° in a triangle. An isosceles triangle has 2 equal sides and 2 equal angles. Mark equal angles with θ. So: 40° + θ + θ = 180° 40° + 2 θ = 180° Subtract 40° to both sides 2 θ = 140° Divide both sides

*posted on May 26, 2020* -
## Pre Calculus

x = r cos θ y = r sin θ x + 2 y = 5 becomes r cos θ + 2 r sin θ = 5 r ( cos θ + 2 sin θ ) = 5 r = 5 / ( cos θ + 2 sin θ )

*posted on May 21, 2020* -
## Algebra1

Speed = Distance / time v = s / t In this case s = the distance for her house to the lake. v1 = s / t1 She walked to the lake at a rate of 4 mph so: v1 = s / t1 4 = s / t1 Multiply both sides by t1 4 t1 = s Divide both sides by 4 t1 = s / 4 She walked back

*posted on May 18, 2020* -
## Mathematics

Stickers = 15 / 1.5 = 10 Lollipops= 15 / 0.75 = 20

*posted on May 18, 2020* -
## Algebra

m = tan θ = ( y2 - y1 ) / ( x2 - x1 ) In this case. x1 = - 6 , y1 = - 13 , x2 = 3 , y2 = -1 m = ( y2 - y1 ) / ( x2 - x1 ) = [ ( - 1 ) - ( - 13 ) ] / [ 3 - ( - 6 ) ] = ( - 1 + 13 ) / ( 3 + 6 ) = 12 / 9 = 3 ∙ 4 / 3 ∙ 3 = 4 / 3

*posted on May 18, 2020* -
## Math

If your question mean: 2 m - n = 5 , 3 m + 2 n = - 24 then Multiply both sides of first equation by 2 4 m - 2 n = 10 Subtract the second equation from this equation. 4 m - 2 n = 10 - 3 m + 2 n = - 24 _____________ ( 4 m - 3 m ) - 2 n - 2 n = 10 - ( - 24 )

*posted on May 18, 2020* -
## math

One my typo: It should not be written like this: So: LC² = √9 It should be written like this: So: LC = √9

*posted on May 18, 2020* -
## math

A = the total area of all four figures AA = the area of a right-angled triangle AB = the area of a an isosceles triangle AC = the area of a an square AD = the area of a rectangle LA = the measure of the base of Figure A LB = the measure of the base of

*posted on May 18, 2020* -
## calculus

2 sin x ∙ cos³x + 2 sin³x ∙ cosx = 2 sin x ∙ cos x ∙ cos²x + 2 sin x ∙ cos x ∙ sin² x = 2 sin x ∙ cos x ∙ ( cos²x + sin² x ) = 2 sin x ∙ cos x ∙ 1 = 2 sin x ∙ cos x = sin 2x

*posted on May 15, 2020* -
## mathematics

1 gallon = 16 cups 1 cup = 1 / 16 gallons Proportion is: 1 cup of fertilizer / 1 gallon of water = 1 / 16 This proportion will also apply to liters. 1 / 16 liter of fertilizer / 1 liter of water 0.0625 liter of fertilizer / 1 liter of water Since: 1liter =

*posted on May 10, 2020* -
## Math

In quadrant I cos θ = √2 / 2 for θ = π / 4 rad (45°) sin θ = sin π / 4 sin θ = √2 / 2 tan θ = sin θ / cos θ = ( √2 / 2 ) / ( √2 / 2 ) = 1

*posted on May 9, 2020* -
## Math

In quadrant II cos θ = - 1 / 2 for θ = 2 π / 3 rad (120°) sin θ = sin 2 π / 3 sin θ = √3 / 2 tan θ = sin θ / cos θ = ( √3 / 2 ) / ( - 1 / 2 ) = - √3

*posted on May 9, 2020* -
## Math

If your question mean: Find tan θ if sin θ = -1 and 0 < θ < 2 π radians then sin θ = - 1 for θ = 3 π / 2 rad (270°) cos θ = cos 3 π / 2 cos θ = 0 tan θ = sin θ / cos θ = -1 / 0 = undefined

*posted on May 9, 2020* -
## math

Area of circle: A = r² π In tis case: r = 16 m π = 22 / 7 16² = 256 A = r² π = 16² π = 256 ∙ 22 / 7 = 5632 / 7 = 804.57143 m² A = 805 m² rounded to whole m²

*posted on May 6, 2020* -
## Maths

If your question mean: 0.09 × 1213.3 × 0.00025 then 0.09 ∙ 1213.3 ∙ 0.00025 = 0.02729925

*posted on April 27, 2020* -
## math

L = Length B = Breadth The length of a rectangle is 5 cm longer than the its breadth mean: L = B + 5 P = 2 L + 2 B P = 2 ( L + B ) Replace L with B + 5 inn this equation P = 2 ( B + 5 + B ) P = 2 ∙ ( 2 B + 5 ) 26 = 4 B + 10 Subtract 10 to both sides 16 =

*posted on April 27, 2020* -
## Maths

1 , 2 , 3...100 are zeroes of the polynomial. Let P(n) = ( y - 1 ) ( y - 2 )...( y - n ) P(1) = y - 1 P(2) = ( y - 1 ) ( y - 2 ) = y^2 - ( 1 + 2 ) ∙ y + 1 ∙ 2 P(3) = ( y - 1 ) ( y - 2 ) ( y - 3 ) = y^3 - ( 1 + 2 + 3 ) ∙ y^2 + 11 y - 1 ∙ 2 ∙ 3

*posted on April 26, 2020* -
## trigonometry

4 π / 3 = π + π / 3 Apply the formula: sin ( A + B ) = sin A cos B + cos A sin B in this case: sin ( π + π / 3 ) = sin π ∙ cos π / 3 + cos π ∙ sin π / 3 sin 4 π / 3 = 0 ∙ cos π / 3 + ( - 1 ) ∙ sin π / 3 sin 4 π / 3 = - sin π / 3 sin 4

*posted on April 24, 2020* -
## math

Your number is: a ∙ 100 000 + b ∙ 10 000 + c ∙ 1 000 + d ∙ 100 + e ∙ 10 + f Numbers a , b , c , d , e and f must be 0 to 9. I have two hundred thousands: a = 2 The digit in my thousands place is six times the digit in my tens place: c = 6 e c = 6

*posted on April 22, 2020* -
## Math

In GP n-th term: an = a1 ∙ r ⁿ⁻¹ a1 = initial value r = common ratio In this case: r = 2 a6 = a1∙ r⁶⁻¹ = a1∙ r⁵ = a1 ∙ 2⁵ = a1 ∙ 32 = 32 a1 a7 = a1 ∙ r⁷⁻¹ = a1 ∙ r⁶ = a1 ∙ 2⁶ = a1 ∙ 64 = 64 a1 a6 + a7 = 288 32 a1 +

*posted on April 18, 2020* -
## math

If arctan ( x ) = θ then tan θ = x cot θ = 1 / tan θ = 1 / x csc² θ = 1 + cot² θ = 1+ ( 1 / x )² = 1 + 1 / x² = x² / x² + 1 / x² = ( x² + 1 ) / x² csc θ = √( x² + 1 ) / √x² csc θ = √( x² + 1 ) / x So csc ( arctan ( x ) ) = √(

*posted on April 15, 2020* -
## math

( 4 √5 + 3 √2 ) / ( 2 √2 - √5 ) = Multiply by ( 2 √2 + √5 ) / ( 2 √2 + √5 ) ( 4 √5 + 3 √2 ) ∙ ( 2 √2 + √5 ) / ( 2 √2 - √5 ) ∙ ( 2 √2 + √5 ) = _________________________________ Remark: ( a - b ) ∙ ( a + b ) = a² - b²

*posted on April 14, 2020* -
## Algebra

Draw Cartesian coordinate system. Find two points on line x + y = 0 For example: x = 5 x + y = 0 5 + y = 0 subtract 5 to both sides y = - 5 x = - 3 x + y = 0 - 3 + y = 0 Add 3 to both sides y = 3 Mark points ( 5 , - 5 ) ( - 3 , 3 ) and draw straight line.

*posted on April 11, 2020* -
## Algebra

( - 2 w² + v )² + 4 t⁴ - ( - 1 + v - 2 t² )² = ( - 2 w² )² + 2 ∙ ( - 2 w ) ∙ v + v ² + 4 t⁴ - ( - 1 + v - 2 t² ) ∙ ( - 1 + v - 2 t² ) = 4 w⁴ - 4 w ∙ v + v ² + 4 t⁴ - [ - 1 ∙ ( - 1 ) + ( - 1 ) ∙ v - ( - 1 ) ∙ ( 2 t² ) + v

*posted on April 10, 2020* -
## math

My typo. Final solution: k = ± 12

*posted on April 10, 2020* -
## math

( - k / 2 )² = k² / 4 So: ( - k / 2 )² = 2 ∙ 18 k² / 4 = 36 Multiply both sides by 4 k² = 36 ∙ 4 k² = 144 k = ± √144 k = ± √12

*posted on April 10, 2020* -
## algebra

264 = 33 ∙ 8 8 = 2³ 264 = 33 ∙ 2³ 264 x³ = 33 ∙ 2³∙ x³ = 33 ( 2 x )³

*posted on April 9, 2020* -
## Trigonometry

OR 13 π / 12 = 12 π / 12 + π / 12 = π + π / 12 tan ( A + B ) = ( tan A + tan B ) / ( 1 - tan A ∙ tan B ) In this case: tan ( 13 π / 12 ) = tan ( π + π / 12 ) = ( tan π + tan π / 12 ) / ( 1 - tan π ∙ tan π / 12 ) Since tan π = 0 tan ( 13 π

*posted on April 3, 2020* -
## PreCal

sin ( A - B ) = sin A ∙ cos B - cos A ∙ sin B that's why sin ( 11 x ) ∙ cos ( 6 x ) - cos ( 11 x ) ∙ sin( 6 x ) = sin ( 11 x - 6 x ) = sin 5 x = √3 / 2 sin 5 x = √3 / 2 5 x = sin⁻¹ ( √3 / 2 ) = arcsin ( √3 / 2 ) The solutions of this

*posted on April 3, 2020* -
## trigonometry

Use double angle identities: sin 2θ = 2 tan θ / ( 1 + tan² θ ) cos 2θ = ( 1 - tan² θ ) / ( 1 + tan² θ ) In this case: sin 2θ = 2 ∙ ( - 5 / 12 ) / [ 1 + ( - 5 / 12 )² ] = - 2 ∙ 5 / 12 / ( 1 + 25 / 144 ) = - 10 / 12 / ( 144 / 144 + 25 / 144 )

*posted on April 2, 2020* -
## Math

Kara + 7 friends = 8 persons 2 / 8 = 2 ∙ 1 / 2 ∙ 4 = 1 / 4 A and D because 1 / 4 and 2 / 8 are the same number.

*posted on March 27, 2020* -
## math

A. consistent D. one solution Try to solve this system. Solution is : x = - 3 / 5 , y = 1 / 5

*posted on March 24, 2020* -
## algebra

Three consecutive even integers are: 2 n , 2 n + 2 , 2 n + 4 Product of the first and second is 4 less than the square of the third means: 2 n ∙ ( 2 n + 2 ) = ( 2 n + 4 )² - 4 4 n² + 4 n = 4 n² + 2 ∙ 2 n ∙ 4 + 4 ² - 4 4 n² + 4 n = 4 n² + 16 n +

*posted on March 24, 2020* -
## Math

A rational number is a number that you can represent in P / Q form. This means that a rational number to be represented in a fraction. 16 / 4 = 4 ± √16 / 4 = ± √4 = ± 2 The square root of 16 / 4 ( ± 2 ) can be represented as a fraction ± 2 / 1

*posted on March 24, 2020* -
## math

2 ∙ 9 - 5 + ( 4 + 6 ) ∙ 5 2 ∙ 9 - 5 + ( 4 + 6 ) ∙ 5 = 18 - 5 + 10 ∙ 5 = 13 + 50 = 63

*posted on March 23, 2020* -
## math

1 m = 100 cm 1 km = 1000 m = 100 000 cm 1:250 000 mean that 1 cm on the map represents an actual distance of 250 000 cm = 2.5 km 1:250 000 = 2.5 km / cm 80 km / 2.5 km / cm = 32 cm OR 80 km = 8 000 000 cm 8 000 000 cm ∙ 1 / 250 000 = 8 000 000 cm / 250

*posted on March 23, 2020* -
## Math

For fraction simplify 28 / 100 28 / 100 = 4 ∙ 7 / 4 ∙ 25 = 7 / 25 Decimal represent = 28 / 100 = 0.28

*posted on March 23, 2020* -
## Math

In AP: an = a1 + ( n - 1 ) d In this case: a5 = 20 , d = - 2 a5 = a1 + 4 d 20 = a1 + 4 ∙ ( - 2 ) 20 = a1 - 8 Add 8 to both sides 28 = a1 a1 = 28 a2 = a1 + d = 28 + ( - 2 ) = 28 - 2 = 26 a3 = a1 + 2 d = 28 + 2 ∙ ( - 2 ) = 28 - 4 = 24 a4 = a1 + 3 d = 28

*posted on March 20, 2020* -
## Calculus

∫ ( x² - 4 x + 4 ) dx = x³ / 3 - 4 x² / 2 + 4 x + C ∫ ( x² - 4 x + 4 ) dx = x³ / 3 - 2 x² + 4 x + C The area under the graph of a continuous function f(x) between the vertical lines x = a and x = b can be computed by the definite integral: b ∫

*posted on March 20, 2020* -
## algebra

c = the amount of the check that he got last year for his birthday. The check was for 5 more than twice the amount of the check that he got last year for his birthday mean: 90 = 5 + 2 c Subtract 5 to both sides 85 = 2 c Divide both sides by 2 42.5 = c c =

*posted on March 19, 2020* -
## Math

cos θ = ± √ 1- sin² θ 23° lies in the first square where all trigonometric functions are positive so: cos 23° = √ [ 1 - sin² ( 23° ) ] cos 23° = √ ( 1 - p² ) 1. 67° = 90° - 23° sin ( 90° - θ ) = cos θ sin 67° = cos 23° = √ ( 1 -

*posted on March 16, 2020* -
## Math

My typo: 9 - 74 + ( 39 / 78 ) + 192 - 465 = 9 - 74 + 1 / 2 + 192 - 465 = - 338 + 1 / 2 = - 2 ∙ 338 / 2 + 1 / 2 = - 676 / 2 + 1 / 2 = - 675 / 2

*posted on March 16, 2020* -
## Math

If your question mean: 9 - 74 + ( 39 / 78 ) + 192 - 465 then 39 / 78 = 1 / 2 9 - 74 + ( 39 / 78 ) + 192 - 465 = 9 - 74 + 1 / 2 + 192 - 465 = - 338 + 1 / 2 = - 2 ∙ 338 / 2 = - 676 / 2 + 1 / 2 = - 675 / 2 If your question mean: ( 9 - 74 + 39 ) / ( 78 + 192

*posted on March 16, 2020* -
## Math

K = Krisha’s ages B = Brother’s ages Krisha is 9 years older than her youngest brother mean: K = B + 9 The sum of their ages is 25 mean: K + B = 25 Replace K with B + 9 in this equation. B + 9 + B = 25 2 B + 9 = 25 Subtract 9 to both sides 2 B = 16

*posted on March 15, 2020* -
## Calculus 1

5 x² + 5 x + x y = 2 Differentiate both sides of the equation with respect to x. Apply the sum / difference rule: ( f ± g )′ = f ′ ± g′ ( 5 x² )′ + ( 5 x )′ + ( x y )′ = 2′ 5 ∙ 2 x + 5 + ( x y )′ = 0 10 x + 5 + ( x y )′ = 0

*posted on March 15, 2020* -
## Math

Are you sure you write the question correctly? 2 x - 3 isn't a factor of 2x³ - x² - 5 x - 2 Factorisation: 2x³ - x² - 5 x - 2 = ( x + 1 ) ( 2 x + 1 ) ( x - 2 ) Long division: ( 2x³ - x² - 5 x - 2 ) / ( 2 x - 3 ) = x² + x - 1 - 5 / ( 2 x - 3 ) This

*posted on March 12, 2020* -
## math

- 8 x + 2 ( 3 x + 5 ) = - 8 x + 2 ∙ 3 x + 2 ∙ 5 = - 8 x + 6 x + 10 = - 2 x + 10

*posted on March 11, 2020* -
## algebra 2

In google paste: matrix system of equations solver 2x2 When you see list of results click on: 2x2 System of Equations - Solver that Shows Steps - MathPortal When page be open set: 4x-7y=-12 -2x+6y=11 Click: Solve by using Cramer's rule then click: Solve

*posted on March 11, 2020* -
## math

c. - 3 ˚c On the number line the negative numbers are to the left of zero. - 12 ˚c and - 18 ˚c are less than - 10 ˚c.

*posted on March 8, 2020* -
## Calculus

In google paste: math10 derivative calculator Whe you see list of results click on: Free Step-by-Step First Derivative Calculator(Solver) - Math10 When page be open in rectangle Function paste: ln(sqrt((1-ln(x))/(1+ln(x)))) and click option: Find

*posted on March 8, 2020* -
## Math

r = radius , d = diameter A = r² π or A = d² π / 4 so A = 22 / 7 r² π or A = 22 / 7 d² π / 4 A = 22 / 28 d²

*posted on March 6, 2020* -
## math

A rational number is a number that can be written as a ratio of two integers. A irrational number is a number that cannot be written as the ratio of two integers. √ 36 = ± 6 = ± 6 / 1 √ 36 is a rational number √ 78 = ±√ 2 ∙ 3 ∙ 13 = ± √ 2

*posted on March 6, 2020* -
## Algebra 1

30 % = 30 / 100 = 0.3 70 % = 70 / 100 = 0.7 62 % = 62 / 100 = 0.62 x = the amount of 30% alloy y = the amount of 70% alloy x + y = 90 y = 90 - x So: 0.3 ∙ x + 0.7 ∙ y = 0.62 ∙ 90 0.3 ∙ x + 0.7 ∙ ( 90 - x ) = 0.62 ∙ 90 0.3 ∙ x + 0.7 ∙ 90 -

*posted on March 6, 2020* -
## Math

If p = 10 and q = 50 the terms are: 2 , 10 , 50 , 25 The n-th term of a geometric sequence: xn = a rⁿ⁻¹ where a is the the first term and r is the common ratio. in this case a = 2 , r = 5 x11 = a r¹¹⁻¹ = a r¹⁰ = 2 ∙ 5¹⁰ = 2 ∙ 9 765 625

*posted on March 4, 2020* -
## math

log 10 = 1 Now apply log rules: log a + log b = log ( a ∙ b ) log a - log b = log ( a / b ) log ⁿ√a = log a / n log √a = log a / 2 log√35 - log √7 + log√2 = log √35 ∙ 2 / 7 = log √70 / 7 = log √10 = log 10 / 2 = 1 / 2

*posted on February 29, 2020* -
## Calculus

That is Trigonometry problem Trigonometry isn't Calculus 3 cos 2x = - 3 Divide both sides by 3 cos 2x = - 1 2 x = cos⁻¹ ( - 1 ) 2 x = arccos ( - 1 ) arccos ( - 1 ) = π The period of cosine function is 2 π so: 2 x = π + 2 π n Divide both sides by 2 x

*posted on February 29, 2020* -
## Math

7×100 = 700 5×1 = 5 8×1/10 = 8 / 10 = 0.8 1×1/100 = 1 / 100 = 0.01 (7×100)+(5×1)+(8×1/10)+(1×1/100) = 700 + 5 + 0.8 + 0.01 = 705.81

*posted on February 20, 2020* -
## mathematics

0.8 m = 80 cm V = 80 ∙ 25 ∙ 20 = 40 000 cm³ 1 L = 1 000 cm³ 40 000 cm³ = 40 L

*posted on February 20, 2020* -
## Calculus

d(x) = 4 x³ + 14 x² - 2 x - 3 - ( 2 x² - x ) = 4 x³ + 14 x² - 2 x - 3 - 2 x² + x = 4 x³ + 12 x² - x - 3 Factorisation: d(x) = 4 x³ + 12 x² - x - 3 = ( x + 3 ) ( 2 x + 1 ) ( 2 x - 1 ) Solutions x = - 3 , x = - 1 / 2 and x = 1 / 2 - 3 < x < - 1 / 2

*posted on February 20, 2020* -
## Math

I don't know did you write the question correctly because: 5 ( 4 x + 7 ) - 2 x = 5 ∙ 4 x + 5 ∙ 7 - 2 x = 20 x + 35 - 2 x = 18 x + 35 5 ( 4 x + 7 ) - 2 x = 18 x + 35 = 18 x + 14 + 21

*posted on February 20, 2020* -
## Algebra

2 x³ - 5 x² - 3 x = 0 x ( 2 x² - 5 x - 3 ) = 0 Factor of 2 x² - 5 x - 3: 2 x² - 5 x - 3 = ( 2 x² + x ) - 6 x - 3 = x ( 2 x + 1 ) - ( 6 x + 3 ) = x ( 2 x + 1 ) - 3 ( 2 x + 1 ) = ( 2 x + 1 ) ∙ x - ( 2 x + 1 ) ∙ 3 = ( 2 x + 1 ) ( x - 3 ) 2 x³ - 5

*posted on February 20, 2020* -
## math

When a fraction is reduced, or simplified, fraction. A fraction in which the greatest common factor of the numerator and the denominator is 1 is a reduced, or simplified, fraction. For example: 6 / 8 is not reduced (or not simplified) because 6 / 8 = 2 ∙

*posted on February 19, 2020* -
## math

Supplementary angles are two angles that have a sum of 180°. In this case 41.4° + α = 180° α = 180° - 41.4° = 138.6° So: The complementary angle is 48.6° and the supplementary angle is 138.6°

*posted on February 19, 2020* -
## math

Complementary angles are two angles that have a sum of 90°. In this case 41.4° + θ = 90° θ = 90° - 41.4° = 48.6°

*posted on February 19, 2020* -
## math

2 x > 16 Divide both sides by 2 x > 8 26 + x < 3 x - 6 Subtract 3 x to both sides 26 + x - 3 x < 3x - 6 - 3x 26 - 2 x < - 6 Subtract 26 to both sides 26 - 2 x - 26 < - 6 - 26 - 2 x < - 32 Divide both sides by - 2 When you multiply or divide both sides by a

*posted on February 19, 2020* -
## Precalculus

If your question mean: Determine the exact values of sine, cosine, and tangent of the angle 157° 30´ then: 157° 30´ = 180° - 22° 30´ = 180° - 45° / 2 sin ( 180° - θ ) = sin θ sin 157° 30´ = sin ( 180° - 22° 30´ ) = sin ( 180° - 45° / 2 )

*posted on February 17, 2020* -
## Math

2 x + 3 y = 1 Subtract 2 x to both sides 3 y = 1 - 2 x Divide both sides by 3 y = ( 1 - 2 x ) / 3 Plug this into: 4 x² - 9 y² = 19 4 x² - 9 [ ( 1 - 2 x ) / 3 ]² = 19 4 x² - 9 ( 1 - 2 x )² / 3² = 19 4 x² - 9 [ 1² - 2 ∙ 1 ∙ 2 x + ( 2 x )² ] / 9

*posted on February 17, 2020* -
## science

1. V = 10 cm ∙ 8.2 cm ∙ 3.5 cm = 287 cm³ 2. 28.9 - 13.7 = 15.2 mL Given that 1 mL = 1 cm³ Answer is 15.2 cm³ and 15.2 mL (Because it's the same) 3. Given that 1 m³ = 1000 L 1000 liters equal one cubic meter

*posted on February 16, 2020* -
## Math

True Let h be the composition f∘g Then by the definition of even function, h is an even function if: h (− x) = h (x) Since g is specified as an even function, you have that: g (− x) = g (x) for all x Therefore, since one property of a function is

*posted on February 11, 2020* -
## maths

22 ∙ ( 10.35 - 10.15 ) = 22 ∙ 0.2 = 4.4

*posted on February 11, 2020* -
## calculus

Yes you can. Taylor polynomial about x = 0 called Maclaurin polynomial. Maclaurin polynomial for sin x is: sin x = x / 1! - x³ / 3! + x⁵ / 5! - x⁷ / 7! ... so x sin x = x ( x / 1! - x³ / 3! + x⁵ / 5! - x⁷ / 7! ... ...) x sin x = x² / 1! - x⁴ /

*posted on February 11, 2020* -
## Maths

If your question mean: 4 p ∙ q ∙ ( - p ) ∙ 3 q ∙ 3 q then 4 ∙ ( - p ) ∙ p ∙ q ∙ 3 q ∙ 3 q = - 4 p² ∙ 9 q³ = - 36 p² ∙ q³

*posted on February 6, 2020*