# Posts by Graham

Total # Posts: 425

Algebra II
Let's start here: "Write an equation to determine how far she can drive based on the gallons of gas in her car." So when we write an equation, there's usually an independent and dependent variable. In this case, how far she can drive DEPENDS ON the gallons of...

geometry
Do what two recipes? You'll have to be more specific.

Math
So, she has 5.5 pounds and wants to split it into 50 bags. This is a division problem. She wants to divide 5.5 pound into 50 bag: 5.5 / 50 Since this is a fraction as well, she could divide both 5.5 and 50 by 5 (same thing as multiplying by (1/5)/(1/5) or 1): (5.5 / 5) / (50...

math
No, you didn't waste my time, understanding is an important part of learning.

math
So, J = 4, and we have the equation: s + j = 17 You can solve this by substituting 4 for j in that equation.

math
First of all, don't start a new post every time you ask, reply to the same original one. I assume you're referring to the problem where I answered: "Sam's age is five years more than twice Jessica's age." So, Sam's age, which I will designate a &...

MAth
Well, do you know what a function is? A function is an equation where every input has only one output. In notation, x is the input. So the question is really asking: "Can x equal anything in following equation which will result in multiple y-values?" The best way to ...

Algebra
Yeah, if it's coefficient, it's definitely "of". Crossword puzzles are really not the best way to understand math concepts anyway.

Algebra
Ok, so we've got: _ _ E _ _ _ _ _ _ T My best guess is "Coefficient", given the context, although that is 11 letters.

math
No, that is not correct. If you want better help, show whatever work you've done on the problem. That will help me understand where you aren't understanding. And I've already answered this question twice.

Math/Algebra
If that is the case: Refactor the denominator (bottomm), and you'll get the right answer.

Math/Algebra
I'm assuming the original equation is: (Z^2 - 8Z + 12) / (Z^2 + Z -6) So, that 8 is actually an 8Z, right?

math
I already answered this in the previous question, but here it is again: "Sam's age is five years more than twice Jessica's age." So, Sam's age, which I will designate a "s" is 5 years more than twice Jessica's age, which I will designate as...

math 101
Ok, so first, n + 2 > 8 can be simplified: n + 2 > 8 n + 2 - 2 > 8 -2 n > 6 and the replacement set for the variable is all one-digit prime numbers To answer that, we have to know the 1 digit prime numbers, which are {2, 3, 5, 7}. So n can equal any of those ...

math
"Sam's age is five years more than twice Jessica's age." So, Sam's age, which I will designate a "s" is 5 years more than twice Jessica's age, which I will designate as "j". From this we can realize that twice Jessica's age (2j...

World History
The assignment sounds like two stories: the headline article, which would be on the front page in a real newspaper, and the international article, which could fill up other space that the headline article doesn't fill up, and perhaps continue onto another page. If you ...

Math
So, you know the values of a, b, and c. You have an expression with the variables a, b, and c. Because you know what each variable equals, you can substitute each number for its respective variable. The expression is: a - b + c = And, a = -2 (-2) - b + c = You can then ...

Pre algebra
That should be right, as long as the first term is "2st^2" and not "(2st)^2".

Math Help
"8 less than y" What is would you do to y to get 8 less than y? "is 2" Is means equal in this context. So, 8 less than y = 2

maths
How many Sq metres is there in a area of 200cm x195cm x10cm deep?

science
If the absolute temperature ooh 6 inches cubed of a gas decreases by a factor of 2, what will be the new volume? How do set up this problem and solve it?

Maths
the length of a rectangle L metres and the width of the rectangle is W metres. Each measurement is correct to the nearest cm. Find, in terms of L and W the difference between the lower bound and the upper bound of the area of the rectangle.

physics
A 2.41 kg ball is attached to a ceiling by a 1.86 m long string. The height of the room is 3.38 m. The acceleration of gravity is 9.81 m/s 2 . What is the gravitational potential energy associated with the ball relative to a) the ceiling? Answer in units of J b) the floor c)a ...

Calculus
Find the number b such that the line y = b divides the region bounded by the curves y = 4x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)

math
Let the folders cost f. Let the rulers cost r. Sarah paid: 8f + 3r Lea paid: 8r + 3f Sarah paid 1.25 more than Lea. 8f + 3r = 1.25 + 8r + 3f 5f = 1.25 + 5r f = 0.25 + r The rulers cost: r = 0.45 .: f = 0.70 Each folder costs 70 cents. Check. 8*(0.70) + 3*(0.45) = 6.95 1.25 + 8...

Physics
A satellite moves in a circular orbit around the Earth at a speed of 5.3 km/s. Determine the satellite’s altitude above the surface of the Earth. Assume the Earth is a homogeneous sphere of radius 6370 km and mass 5.98 × 1024 kg. The value of the universal ...

algebra
Redistribute for like terms. = (8+8)m3+(-3+3)m2+(1-4)m+(-5-2) = ...

Calculus
f(x) is continuous over the domain. [-3,3] f(x) is differential. f'(x) = 3x2 -9 f(x) has two equal value points on the independent axis. f(-3) = f(3) = 0 Therefore Rolle's Theorem Applies .: Exists c such that f'(c)=0 Solve for c: 0 = 3c2 - 9 ...

Physics
The centre of gravity is the point around which the weighted distribution of mass of the body sums to zero. Its relative placement within the body is independent of the orientation of the whole body; though of course it is affected by redistribution of parts of the body. ...

Math-Algebra
Again, use Pythagorus. d2 = 152 + 152 d = 15√2

Math-Algebra
Use Pythagorus. 122 = 22 + h2

Chemistry
Use: E = hc/λ Where: Planck Constant: h = 6.62606957(29)×10−34J∙s Speed of Light: c = 2.99792458×10+9m∙s-1 Wavelength: λ = 0.130m

math
a) S'(t) = dS(t)/dt S'(t) = ((d5t/dt)(t2+1) - 5t d(t2+1)/dt)/(t2+1)2 S'(t) = (5(t2+1) - 10t2)/(t2+1)2 S'(t) = (5-5t2)/(t4+2t2+1)

Physics
m1 × 3.10m/s2 = m2 × 2.00m/s2 m2 = 1.55 × m1

chemistry
Use V = m / (w c) Where: V : volume m : mass w : molecular mass c : concentration

Calculus
Don't forget the constants of integration. ------------- A = ∫ √(a2-x2) dx Let x = a sin(θ) dx = a cos(θ) dθ A = ∫ a2cos(θ)√(1-sin2(θ)) dθ A = ∫ a2cos2(θ) dθ A = (a2/2) ∫ (cos(2θ)+1) dθ A...

Calculus
(B) You have two simultaneous equations in two variables. The original equation, and the derivative for specified values of dy/dx. When dy/dx=1/2 : 1/2 = y/(2y-x) Rearrange: 2y - x = 2y Hence: x = 0 Substitute back into y2 = 2 + xy: Therefore: y = ±√2 Answer: (0...

Chemistry
Compare to the tossing two coins. P(Head ∩ Head) = P(Head) × P(Head) = 1/4 P(Head ∩ Tail) = 2 × P(Head) × P(Tail) = 1/2 P(Tail ∩ Tail) = P(Tail) × P(Tail) = 1/4 (Note that there are two ways to toss a head and a tail.) The formation of...

MATH
Which of what following? ... And what do you think is the right one?

Pre-Calculas 11
I cannot see the diagram, so I am going to assume the new fencing is formed into an 'E' shape, with the opening pressed up against the existing fence line. That is: one long side (l), two short sides and the divider (3w). The fence length is: 800 = 3w + l So the area ...

la sallle
Three consecutive even integers are: 2n, 2n+2, 2n+4, where n is an integer. The rule is thus: 2(2n+4)/2n = (3/5)(2n+2) - 3 Rearranging gives: 0 = 6 n2 - 19n - 20 Find the integer root(s) of this quadratic. Solve for integer n. Use n to find the three consecutive even numbers.

maths
y = 7x + 21 a = 7*8 + 21

maths
Hint: The first sequence is: 1/(1+1), 2/(2+1), 3/(3+1), 4/(4+1)

Dice Probability
No. The probability of the first die rolling a 2 is 1/6. The probability of the second die rolling a 3 is 1/6. The combined probability is 1/36.

Card Probability
There are 52 cards in the deck; 13 in each of the four suits, and two of the suits are red. The four face cards in each suit are: jack, queen, king, and ace. P(face card) = 4/13 P(red) = 1/4 The events are independent. The probability of an intersection of independent events ...

Probability With Cards
The events are independent. Use: P(Ki ∩ ♥) = P(Ki)×P(♥)

maths
Hint: the sequence is: 21,22,23,24,25,...

MATH
Let N = a.bcd c = d+3 -> 3 ≤ c ≤ 9 b = c-2 -> 1 ≤ b ≤ 7 a = b+c a = 2c-2 -> 4 ≤ a ≤ 8 c = (a+2)/2 -> 3 ≤ c ≤ 5 .: c = 3, N= 4.130... c = 4, N= 6.241... c = 5, N= 8.352... Though of course the rules only fix the first ...

chem-redox
Opps. Cut and paste error. 2 Ca + Cr2O72- + 14 H+ = 2 Ca2+ + 2 Cr3+ + 7 H2O

chem-redox
In acidic aqueous solution you use water to balance oxygen and hydrogen cations to balance hydrogen. Ca = Ca{2+} + 2 ē Cr2O7{2-} + 14 H{+} + 6 ē = 2 Cr{3+} + 7 H2O ===================================================== 3 Ca + Cr2O7{2-} + 14 H{+} = 3 Ca{2+} + 2 Cr{3...

physics
Hint: What affect does horizontal velocity have on vertical fall? Use: vector displacement equation. x(t) î + y(t) ĵ = [x(0) + u(0)t] î + [y(0) + v(0)t - ½ gt^2] ĵ xt î + yt ĵ = (x0 + u0 t) î + (y0 + v0 t - ½ g t2) ĵ

Math
Check the bracket placement. ±√(10/3) = ±√(10)/√(3) = ±√(30)/3 = ±(⅓)√(30)

Chemistry
An ionic exchange reaction only occurs when dissolved ions are removed from solution as (1) a precipitate (solid), (2) a gas, or (3) form a molecule that remains in the liquid phase. Sodium- and Potassium- -Biphosphates (and -Phosphates) are soluble. Sodium- and Potassium- -...

Math
When y = 0 then x = 1. As y rises towards positive infinity, x rises towards positive infinity. As y falls towards negative infinity, x falls towards 0. There is no real value of y corresponding to any negative value of x. -∞ ≤ y ≤ +∞ 0 ≤ x ≤...

Computer Science
The main should declare and load the list structure (or object), and also a variable to hold the result. The list structure cannot be fixed length; it needs to grow arbitrarily long. You'll also need a way to input numbers into the list. Given your modular design, this ...

Calculus & Vectors
Use z = x + yi Plot on the Cartesian (x,y)-plane a) Plot (x, y) = (2, 0) b) Plot √(x^2 + y^2) = 2 c) Plot (x, y) = (5, 4) d) Plot (x, y) = (√2, -√2)

math
Yes. Exactly. (x^2 -7x -8) / (x+1) = x + (-8x -8)/(x+1) = x -8

math
Do you mean: 4 (x^2 + x) / (x-3x) = -2 (x+1) = -2x -2

math
Please be clearer. What does the bracketed 4 mean? Is everything to the right of the division sign on the denominator, or just the first x?

Math
Consider the quadratic: 9z^2 - 148z + 64 Its roots are: (148 ±√(21904-2304))/18 = (148±140)/18 .: either 4/9 or 16 Thus we can factorise the quartic: 9x^4 - 148x^2 + 64 = (9x^2 - 4)(x^2 - 16) Next, factorise each of these two quadratic terms in turn.

physics
Rearrange the equation: A = F_x / t^2 Then simply substitute the numbers: .: A = (781.25/1.45^2) N/s^2 Answer in three significant figures.

Science
You simply need to express 2.16 micrometres in 5.0 seconds as some kilometres per hour, retaining the appropriate number of significant figures during conversion. 1 μm = 1×10^–6 m 1 km = 1×10^+3 m 1 hr = 3600 s 2.15μm / 5.0s = _._ ×10^__ km/hr

Physics
Use the classical mechanic equations of force, displacement, and velocity under constant acceleration from rest. (1)... F = m a (2)... s = a t^2 /2 (3)... v = a t From (1), doubling the force will double the acceleration (for the same mass). From (2), doubling the acceleration...

Significant figures
The count of significant figures for the product is the least count of significant figures of the terms. To determine how many significant figures to use, count the significant figures of each of the terms and use the least one.

chemistry
(CH3)2NH + H2O = (CH3)2NH2{+} + OH{-} Kb = [(CH3)2NH2{+}] [OH{-}]/[(CH3)2NH] At 11.98 the contribution of OH{-} concentration from dissociated water is negligible. [OH{-}] = 10^(11.98-14.00) [(CH3)2NH2{+}] = [OH{-}] [(CH3)2NH] = 0.164M - [OH{-}] Kb = [OH{-}]^2 / (0.164M - [OH...

AP CHEM
This question is incomplete. It contains insufficient information to answer.

Combinatorics
C(4,1) C(5, 1) C(6, 1) = (4!/1!3!) (5!/1!4!) (6!/1!5!) = ...

Math
x ≤ -1

Math
6 ≤ 4 + (-2x) 2 ≤ -2x x ≤ 1

chemistry
You have 5.6 mL of NH3. There are 22.4 L per mole of gas at STP. So 5.6e-3 / 22.4 mole of NH3. Balance the equation to determine the corresponding number of H2.

calculus
ln(2) = 0.69314718... (A) P(6)/P(0) = 2 .: k_g = ln(2) /6mth (B) P(3mt) = 4000 e^{3 k_g} (C) k_d = -ln(2) /10day

physics
Given: v1 = 34.5 [cos(50°) W + sin(50°) N] km/hr v2 = 16.1 [0 W + 1 N] km/hr Let: s = 3 v1 + 0.5 v2 Find: |s| s = (3*34.5*cos(50°)) W + (3*35.6sin(50°)+0.5*16.1) N |s| = √((3*34.5*cos(50°))^2 + (3*35.6sin(50°)+0.5*16.1)^2)

calculous
cannot see figure.

physics
The same current flows through the same cross-sectional area, but with only half the diameter, P has only ____ the area. Thus it passes ___ the current. [If you halve the diameter what happens to the area?]

Chemistry
You also need the molar mass of water. Let x represent the amount of sodium sulfate in the sample. Solve these simultaneous equations: 142.05 x + 18.015 nx = 8.5 18.015 nx = 4.776

vector physics
Using the standard orthogonal unit vectors î and ĵ. Momentum of the system: 0.045*9.0 î - 0.145*7 ĵ kg∙m/s Magnitude: √((0.045*9.0)^2 + (0.145*7)^2) kg∙m/s Direction: angle measured off x-axis -arctan((0.145*7)/(0.045*9.0))

Physics
If a 100%-efficient engine transfers 100% of the fuel's energy to work then, 0% of the fuel's energy would be wasted as heat, vibration, or otherwise. If it extracts 100% of the available energy from the fuel then anything left will have 0% available energy; that will ...

math
Let the number of Zerg be z, and Borges be b. Heads: 45 = z + 4b Feet: 55 = 3z + 2b Solve the simultaneous equations. Hint: multiply the first by 2 and subtract the second, then simplify. Hint 2: multiply the second by 3 and subtract the first, then simplify.

math
Let the number of Zerg be z, and Borges be b. Heads: 45 = z + 4b Feet: 55 = 3z + 2b Solve the simultaneous equations. Hint: multiply the first by 3 and subtract the second, then simplify. Hint 2: multiply the second by 3 and subtract the first, then simplify.

physics
Solve for t to find the breaking time. 0 = 19m/s - t_b 4.6m/s^2 Substitute to find the breaking distance. d = t_b 19m/s - t_b^2 2.3m/s^2 Find the time to travel to that point. t_d = (48.2m - d) / 19m/s.

Physics
Given: speed of v = 30[m/s] radius of r = 25[m] Use: Centipetal-acceleration of: a_c = v^2/r

Chemistry- that is correct.
Yes. 34m/s = 34m/s * 1000mm/m * 60s/hr = 2040000mm/hr ≈ 2.0×10^6mm/hr

Physical Chemistry
∫ β δT = ∫ 1/V δV Since β independant of T, ∫ β δT = βT + constant. βT = ∫ 1/V δV Use ∫ 1/x dx = ln(x) + constant βT = ln(V) + constant .: V = k e^(βT)

Science
Let u be the horizontal speed and v the vertical. u(0)=8.0m/s, v(0)=0m/s Let x be the horizontal height and y the vertical. x(0)=0m, y(0)=20m y(t) = y(0) + v(0) t -(9.81/2) t^2 Find t when y(t) = 0m So: 0m = 20m - 4.905(m/s^2) t^2

Algebra
If n is the least of the three consecutive odd numbers, the others are: n+2, n+4. So: 5(n) +35 = 2(n+2+n+4) Solve for n, then find 3n+6

Math
A(x+5)+2(−Bx+2) = (A-2B)x+(5A+4) So: (A-2B) = 17 (5A+4) = 219 Solve the second for A, substitute into the first and solve for B, then find A-B.

Math
b + 2c = 859¢ b + 2d = 951¢ b + c + d = ((b + 2c) + (b + 2d))/2

Science/ Chemistry
P: 30.973762(2) O: 15.999(4) Ratio of O to P is: ((0.967-0.422)/0.422)*(30.973762/15.999) = 2.50 The empirical formula is correctly derived from the given masses. The empirical equation also balances.

Chemistry
Three times as many.

Discrete Mathematics
Consider that for any integer (n), (2n+1) is an odd number. By expansion and collecting terms, (2n+1)^2 = ______. Since _______ is an integer it follows that (2n+1)^2 is odd. Therefore the square of any odd number is also an odd number.

Discrete Mathematics
An argument is valid if and only if its conclusion is entailed from its premises, A valid argument is not necessarily sound. That is, the premises do not need to be true. Hence you only need to examine the form of the argument, not the soundness of the premise. The form is as ...

Chemistry
Exchange the acidic proton.

Math
find: a) carlo's speed in the last part of the journey. Carlos travels 16km at 20kph for: 20/16 hours. Thus Carlos travels the remaining (35-16) km for (2-20/16)hours at: (35-16)/(2-20/16)kph. b) the time when Arnold reaches town A. Arnold travels 35km at 25kph for: (35/25...

Math
distance = speed multiplied by time. Measure all distance in kilometres and all time in hours. The car travels: c(t) = 40 t The bus travels: b(t) = 56 (t - 0.5) Solve for t when c(t)=b(t)

Math
Parallel lines have the same gradient. The gradient of the first line is: 4/7 The gradient of the second line is: -9/m Thus: 4/7 = -9/m Solve for: m = ...

Math
2. Profit of n items made and sold is: P(n) = (45.00-30.00)n - 1200.00 a. Find n when P(n)=0 b. Find: -P(400) (Loss is negative profit) c. Find: P(1000)

Math
1. The area of a parallel trapezoid is half of the product of the height and the sum of the lengths of the parallel sides. The height is difference between the projections of A and B on the y-axis. (Ie: 5-2) The length of each side is the difference between the x-axis ...

Math
Let the scores be x, y, z. Solve the three simultaneous equations: x + y + z = 225 x + y = z + 61 x = y + 6 Start by substitution: x=y+6 2 y + z = 219 2 y = z + 55 et cetera...

Chemistry
Use Nt/N0 = e^{-kt} 1[yr] = a = 31557600[s] (1/2) = e^(-kh) Where: Half life: h= 4.5e9 * a = 1.420092E+17[s] k = -ln(0.5)/1.420092E+17 .: k = 4.8810019E-18[/s] Okay, so far. To continue... Assume there is n atoms of U238 in the sample. t=1 second latter there is n-29. (via 29 ...

algebra
The sum is this: X = (1/5 + 1/4 + 1/3 + 1/6)*X + 12 X = (57/60)*X + 12 Simplify and solve for X

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