Marth

The prompt is asking you to think of any decision that you later regretted, and wished you could have changed. Then propose what would have happened had you made the better choice. To answer, look at your personal choices. You should try exaggerating a re...

16 years ago

The '|' signs are absolute value - the results are always positive. Calculate the inner '|' first, as you would parentheses. |-3-|-7-7|| = |-3-|-14|| = |-3-14| because |-14| = the absolute value of -14 = 14 = |-17| = 17

16 years ago

It would help if you posted the equation more clearly by using parentheses. In general, though use order of operations and exponential rules to reduce the # of variables & constants. For example, a^3/a^8 would become 1/a^5, because when you divide you sub...

16 years ago

Replace the variable 'F' with the value 212. C=5/9(212-32) C=5/9(180) C=100 On a side note, 212 degrees F is the boiling point of water which corresponds to 100 degrees Celsius.

16 years ago

1. the probability is the good divided by the total; the odds are the good divided by the bad. if the good is 0.6, the bad is (1-0.6)=0.4. 0.6/0.4 = 3/2 2. Find the total number of possibilities. Each die has 6 sides, so the total is 6*6 = 36. Now, find t...

16 years ago

let x be the number of units of lumber. let 3x be the number of units of plywood (because it turns three times as many units of plywood as lumber) Multiply the variables by the profits and set it equal to the total profit 3x*40+x*25=15080 120x+25x=15080 1...

16 years ago

b. t+1/3-t-1/2 = 1 Simplify: t-t+1/3-1/2 = 1 -1/6 = 1 As that answer does not make sense, t cannot be found from the given equation.

16 years ago

let x = the side of the 1st square let 2x/3-10 = the side of the 2nd square ("10 less than 2/3 of the side of the other square") The area of a square is x^2. Therefore, if the sum of the areas = 1000, than x^2 + (2x/3-10)^2 = 1000 foil the polynomial: x^2...

16 years ago

I assume you want to find a point (x, y) that fits the conditions. Find the distance between (-2,0) and (3,1) but keep it in x,y form. (3-(-2),1-0) = (5,1) It may be helpful now for you to draw a graph to see whether to add (5,1) to (3,1) or subtract (5,1...

16 years ago

A. Because 3*6 = 18, and you have the factor -6, the remaining factor must be -3. B. I assume it wants you to show your work for long division. Note: it would help if you were more clear in posing the question.

16 years ago

When given a problem like this, it is probably easier to divide first rather than use the Quotient Rule. If you factor the numerator, you find that it equals (3x^2(x-4) + 2(x-4)) =(3x^2 + 2)(x-4) Dividing by (x-4), the polynomial becomes (3x^2 + 2) y = 3x...

16 years ago

Simply substitute numbers of opposing signs for n+m. For example, n=-1, and m = 2 |n+m| = |-1+2| = |1| = 1 |n| + |m| = |-1| + |2| = 1+2=3

16 years ago

1. let x = the length let (3/4) x = the width The area of a rectangle = width * height. area = width*height 12 = x*(3/4)x 12 = (3/4)x^2 12/(3/4) = x^2 16 = x^2 x=4. The answer x=-4 does not make sense in the context of the problem. 2. let x = leg one let...

16 years ago

If they are connected in series, the circuit is broken by removing one of the bulbs. If they are connected in parallel, there is still a path for electrons to flow after a bulb is removed. Diagrams help.

16 years ago

yes, the equation is in the form y = mx + b, where m is the slope and b is the y intercept.

16 years ago

The total shelf space is 9 feet wide. But the set of books uses only 1/6 of the space. Therefore, the space used = 9*1/6 = 9/6 = 3/2 ft Each book is 3/5 inches thick. First, you have to get both terms in the same units. There are 12in in 1 ft, so multiply...

16 years ago

Start by converting 2 3/4 to an improper fraction. (3+2*4)/4 = 11/4 Divide 11/4 by 1/2. (11/4)/(1/2) = (11/4)*(2/1) = 11/2. Convert back to a mixed number. 11/2 = 5 1/2. The cook cannot bake half a batch of muffins. Round down to 5 batches.

16 years ago

(5/8)x + (1/16)x = 7/16 + x (10/16)x + (1/16)x = 7/16 + x (11/16)x = 7/16 + x (-5/16)x = 7/16 x = (-7/5)

16 years ago

You can check your work by using the values you found for x and y in the equations to see if they match. 7(7) + 6(-5) = 7 49 - 30 = 7 19 = 7 7 = 58 - 9*(-5) 7 = 58-45 7 = 13 Clearly, something is wrong. Substitute 58-9y for x in 7x+6y=7 (because x = 58-9y...

16 years ago

-6x > 1/13 Switch signs when multiplying or dividing by a negative. x < (1/13)/(-6) x < -1/78

16 years ago

Distribute the 9 across (w-2) 9(w-2) = 45 9w - 18 = 45 9w = 63 w = 7

16 years ago

-16 < 4x-5 < -4 -11 < 4x < 1 -11/4 < x < 1/4

16 years ago

a. "initially" means time = 0 P(0) = 5000e^2(0) = 5000e^0 = 5000 b. P(t) = 5000*e^(2t) [d/du]e^u = e^u du Therefore, P'(t) = 5000*2e^(2t) P'(t) = 10000e^(2t) c. Set e^(2t) = 2. 2t = ln2 t = (ln2)/2 The population will double every (ln2)/2 hours. d. set P...

16 years ago

"f(x-1)" will shift the graph to the right by 1. "-2" will shift the graph down by 2. The graph looks like the graph of f, shifted right 1 and shifted down 2.

16 years ago

let x = pounds of soybean meal let y = pounds of cornmeal There should be a total of 360 pounds. Therefore, x+y = 360 The protein % is .14. Out of 360 pounds, that would be 360*.14 = 50.4 Therefore, .18x + .09y = 50.4 substitution: x=360-y .18(360-y) + .0...

16 years ago

velocity = frequency * wavelength V = f*w 5000 m/s = 640 Hz * wavelength wavelength = 7.8 m

16 years ago

Find the required acceleration. a = (Vf-Vi)/t where Vf = final velocity and Vi = initial velocity You want final velocity to be 0. a = (0-10)/5 a = -2 m/s/s Now to find the force: F = ma F = 900*-2 F = -1800N The force required is 1800N applied opposite f...

16 years ago

Start by finding the z scores. z = (value - mean)/SD verbal: z = (81-50)/20 z = 1.55 quantitative: z = (6.4-0)/5 z = 1.28 Compare the z scores. 1.55 > 1.28. Therefore, the person's score exceeded the mean by more in the verbal test.

16 years ago

z = (value - mean)/SD I'll do one of each type. It requires only algebra once you have the equation. a. z = (340 - 300)/20 z = 2 d. 2.4 = (value - 300)/20 48 = value - 300 value = 348

16 years ago

If (t)= 80.6t + 81.0 , how does E(10) = 85.9? I believe there is a typo in the slope of the linear function E(t).

16 years ago

Transfer payments, which is not considered true production of goods/services.

16 years ago

You failed to state what the problem is asking.

16 years ago

Ignore the previous post. The answer is c. a. The GDP is adjusted already, so changes in the price level cannot account for its increase. b. If the number of new homes built decreased, production decreased, which would lower GDP. d. If imports increased,...

16 years ago

A nice proverb, but what is the question?

16 years ago

g(x) = 2x+1/5 Substitute -2 for x. g(-2) = 2*-2 + 1/5 g(-2) = -4 + 1/5 g(-2) = (-3 4/5) (mixed number) To find g(f(x)), substitute f(x) for x in g. g(f(x)) = g(x+4) g(x+4) = 2(x+4) + 1/5 g(x+4) = 2x + 8 + 1/5 g(x+4) = 2x + (8 1/5) (mixed number) To find i...

16 years ago

Q = mHf where Q is the transfer of thermal energy, m is the mass of the ice, and Hf is the specific heat of fusion for melting/freezing. Hf = 333kJ/kg m = 1kg Q = mHf Q = 1kg*333kJ/kg Q = 333kJ 1 Joule = 0.239cal Therefore, multiply 333kJ *0.239kcal/kJ =...

16 years ago

Showing that adding the two terms results in 0 does indeed prove that the two terms are additive opposites.

16 years ago

You mean finding (x+1)^3 and (x+1)^4. Keep using foil. (x+1)*(x+1)*(x+1) =(x^2 + 2x + 1)*(x + 1) = x^3 + 2x^2 + x + x^2+ 2x + 1 (x+1)^3 = x^3 + 3x^2 + 3x + 1 (x^3 + 3x^2 + 3x + 1)(x+1) = x^4 + 3x^3 + 3x^2 + x + x^3 + 3x^2 + 3x + 1 (x+1)^4 = x^4 + 4x^3 + 6...

16 years ago

1. I assume you can use the 10% interest you get. $1000000*.10 = $100,000 2. Then you gain a smaller amount of interest, which results in a lower amount of money you have to live off of in future years.

16 years ago

Yes, although I hope in the real number line you make a clear distinction between positive and negative.

16 years ago

At the statement "Shelter is anything which increases...", you seem to go back to a broader statement. Judging by the topic, you should instead continue by providing even more detail about your apartment, such as the number of rooms, furniture, etc.

16 years ago

red and green light, when combined, create yellow.

16 years ago

+- = - ++ = + -- = + [-12-18](-16-4) (-30)(-20) 600

16 years ago

As bobpursley noted, technology is a major factor in reducing costs. A simple Supply/Demand graph: 1. Given a market with equilibrium point e; 2. Supply shifts right due to technology; 3. Price decreases, output increases.

16 years ago

Most Valuable Player

16 years ago

1) yes 2) yes 3) yes 4) If x<2y, then that would mean that 2y>x. So 2y is greater than x. There is no "or equal" sign in the original equation.

16 years ago

Yes, that looks correct. Continue by substituting in a=-10 into one of the equations to find b.

16 years ago

The form of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center. If it is tangent to x=-2, and its center is at (2, -4), then its radius is 2-(-2)=4. Therefore, (x-2)^2+(y+4)^2=16

16 years ago

Start by finding prime factors: 56 --> 7*8 --> 7*2^3 96 --> 6*16 --> 3*2^5 Just keep dividing by any factors until you get prime factors. Now, you need to multiply 7*3*2^5 to include all factors. 7*3*2^5 = 672

16 years ago

Keep dividing by any factors until you get to the prime factors. 2 goes into 392. 392/2 = 196 2 goes into 196 196/2 = 98 2 goes into 98 98/2 = 49 So far we have 2^3, because we divided by 2 three times. Now, 7 goes into 49. 49/7 = 7. Therefore, we have 7^...

16 years ago

The Óx = 10 Óy = 18-16 = 2. With those values, how do you get 180 degrees south of north? arctan(2/10) = 11.3 degrees So the angle is 11.3 degrees north of east.

16 years ago

yes, it modifies "to return," a verb. ("to the clinic" is a prepositional phrase)

16 years ago

Yes, "progressively" modifies "has had"

16 years ago

"severe" is an adjective because it modifies "pain," a noun. "fairly" is an adverb because it modifies "severe," an adjective.

16 years ago

"an" is used instead of "a" when the following word starts with a vowel, such as "old man"

16 years ago

The ball is thrown horizontally, so there is only an initial x velocity. You can find the time interval as shown below. Start by finding the time the ball is in the air. d = Vi(t) + 0.5(a)(t^2) Acceleration is due to gravity. Initial velocity in the y dir...

16 years ago

"was used", and "was entered." The "was" alters the form of the verb. The verbs are any actions performed - being "used" is an action.

16 years ago

Yes, the verbs are "suffered" and "is causing" because both are actions.

16 years ago

Those certainly sound like setbacks. Assuming that is an essay prompt, it may help to elaborate by specifying the goal(s) those setbacks have affected.

16 years ago

Every complete thought must have a subject and a verb. The verbs are "was ... incised" and "was lengthened.". "was incised" is the action that is performed on the "external oblique fascia," and "was lengthened" is the action performed on the incision. "us...

16 years ago

"denied" is indeed a verb. "had" is also a verb - an action by the patient, having anorexia.

16 years ago

If you convert the problem into 3/5 * 3/2, there are not any factors that would cancel out. If you multiply the numerators and denominators, you get (3*3)/(2*5) = 9/10

16 years ago

let a = the slope of line A let b = the slope of line B if line B is perpendicular to line A, then a = -1/b.

16 years ago

#1 and #3 are correct. To use "middle" in #2 add words to make it "I met her in the middle of July," which is more correct.

16 years ago

a) The time the car is in the air can be found by d = Vi(t) + 0.5(a)(t^2) Acceleration is 9.81m/s due to gravity. Initial vertical velocity is 0, because the ramp is horizontal. Therefore, the equation becomes d = 0.5(a)(t^2) d = 0.5(a)(t^2) -1.5m = 0.5(-...

16 years ago

"-1.5 = u sin(10) -(1/2)g t2 from which t=sqrt(2*(1.5+u sin(10))/g)" MathMate, I am afraid the equation is d = Vi(t) + 0.5(a)(t^2) from integration from a constant acceleration. I believe you replaced Vi*t with Vi.

16 years ago

Edit: should be a -1.5 -1.5 - 3.527 = 0.5(-9.81)*(20/(V*cos(10)))^2 -5.027*V^2 = 0.5(-9.81)*(20/(cos(10)))^2 V = 20.061 m/s

16 years ago

I believe you mean (2/(x+5) + 4/(x+3))*(x+3)(x+5)/(3x+13) Distribute the (x+3)(x+5)/(3x+13) 2(x+3)/(3x+13)+4(x+5)/(3x+13) They have the same denominator, so you can add them: (2(x+3)+4(x+5))/(3x+13) Simplify the numerator: (2x+6+4x+20)/(3x+13) (6x+26)/(3x...

16 years ago

Multiply to get a common denominator: The common denominator must be (v+11)(v+19). Therefore, multiply each part by the missing factor to reach that denominator. v/(v+11)*(v+19)/(v+19) + 1/(v+19)*(v+11)/(v+11) = (v+11)(v+19)/((v+11)(v+19)) Now we have v(v...

16 years ago

30% of the 100 eggs from the 1st female will mature, or 30 eggs. Start: 1 female lays 100 eggs, and 30 mature for the next year 1 year later: 30 females lay 3000 eggs, and 900 mature for the next year 2 years later: 900 females lay 9000 eggs, and 2700 wil...

16 years ago

Posting the questions would help.

16 years ago

The point is to control the population so that only cat breeders can have kittens. There are too many abandoned pets in shelters; a cat owner who is unprepared to take care of kittens will only add to that.

16 years ago

Look at the denominators, and find the individual factors: 11x/(yz^2): y*z^2 8x/(y^2z): y^2*z The greatest power of y is y^2. The greatest power of z is z^2. Now multiply the greatest powers to find the LCD. The LCD should actually be y^2*z^2.

16 years ago

As 3 automobiles fits between (2 autos, 27 forklifts) and (4 autos, 21 forklifts) but 20 forklifts is less than 21, you can conclude that the economy is producing below its maximum output.

16 years ago

If he is timing the eclipse, he is observing the time the eclipse lasts - observing and recording data.

16 years ago

His total 2003-2004 growth amounts to 5+2 = 7in. Convert his final height of 5ft 10in to inches. 5*12 + 10 = 70in. Now divide his 2003-2004 growth by his final height in inches: 7 / 70 = .1, or 10%.

16 years ago

Windows has had a virtual monopoly on personal computers for years. As software manufacturers gain more profit by making programs with the largest user base, most programs are designed with Windows in mind. The cycle perpetuates itself as many users buy W...

16 years ago

As bobpursley said, the zeroes or roots are 3 and 2 from factoring the function into ((x-3)(x-2))^2. Both are double roots, or to the power of 2, because both are squared.

16 years ago

Factor it into (3x - 4)(x + 1) Then set it equal to 0. (3x - 4)(x + 1)=0 3x = 4 x = 4/3 x = -1 Solutions are x = 4/3, -1

16 years ago

Correct.

16 years ago

Use foil to multiply the complex numbers: (4 - 5i)(3 + 7i) = 12 - 15i + 28i -35i^2 Now simplify: 12 + 13i - 35i^2 = 12 + 13i + 35 = 47 + 13i

16 years ago

12v - 3w = 0 3(4v - w) = 0 4v - w = 0 2w - 8v = 2(w - 4v) Because 4v - w = 0, 2(w - 4v) also must equal 0.

16 years ago

Undo the absolute value: 6x - 7 <= 25 and 6x - 7 >= -25 Now solve for x: 6x - 7 <= 25 6x <= 32 x <= 16/3 6x-7 >= -25 6x >= -18 6x >= -3 -3 <= x <= 16/3 Therefore, interval notation is [-3, 16/3]. Brackets are used because x can equal -3 and 16/3.

16 years ago

Start by finding the area. 15*10 = 150m^2. 20% of 150 is 30m^2. That is the area of the boardwalk. Now, if you draw a picture, you will realize that finding the width is more complex than multiplying by the perimeter. The boardwalk is on the inside edge,...

16 years ago

This is algebra? If you have not learned differentiation, perhaps your teacher wants you to use a calculator to find the extrema. (If you have, disregard this paragraph). Take the derivative of f(x): f'(x)= -2x + 10 Set f'(x) = 0 -2x + 10 = 0 10 = 2x x =...

16 years ago

"Interval notation is [-3, 16/3]." Yes, B is correct.

16 years ago

5 is the value at which the maximum occurs. f(5) = -1, so choice C.

16 years ago

Solve each part independently: 3 - 8x < -5 -8x < -8 x > 1 3 - 8x > 19 -8x > 16 x < -2 Therefore, the solution is [-infinity, -2] and [1, infinity]

16 years ago

public static void main(String[] args) { // input Scanner kb=new Scanner(in); // input 2 doubles double num1=kb.nextDouble(); double num2=kb.nextDouble(); // sum out.println(num1+num2); // difference out.println(num1-num2); // product out.println(num1*num...

16 years ago

Yes. I should have used parentheses.

16 years ago

Undo the absolute value by considering the two possible solutions: 9 - 4x > 7 and 9 - 4x < -7 Solve each separately: 9 - 4x > 7 -4x > -2 x < 1/2 9 - 4x < -7 -4x < -16 x > 4 The answer should be (-infinity, 1/2) U (4, infinity). You appear to have left off...

16 years ago

1. Start by performing operations in the parentheses: 84 / [-1 + 7] A negative multiplied by a negative is a positive. Now we have 84/[6], which equals 14 2. Start by finding prime factors of the numbers: 240 = 4*6*10 = 2^2 * 2 * 3 * 2 * 5 = 2^4 * 3 * 5 1...

16 years ago

Start with the smallest number and end with the largest number. If 2.99 is the largest number, then it should be at the end.

16 years ago

(a) The equation is in the form ax^2 + bx + c Use those values for b^2 - 4ac. (-16)^2 - 4*4*25 = 256 - 400 = -144 The determinant is negative, so there will be two imaginary solutions. (b) The quadratic equation is x = (-b +/- sqrt(determinant))/(2a) Usin...

16 years ago

sqrt(3-x) = x-1. Start by squaring both sides. 3 - x = x^2 - 2x + 1 0 = x^2 - x - 2 Factor the equation: 0 = (x-2)(x+1) So x = 2 or x = 1

16 years ago

4(x+9) + (3-x) = 5(x+9) 4x + 36 + 3 - x = 5x + 45 3x + 39 = 5x + 45 -2x = 6 x = -3 To check your work, plug your value of x into the original equation: 4/(3+3) + 1/(-3+9) = 5/(3+3) 4/6 + 1/6 = 5/6 5/6 = 5/6 So -3 is correct.

16 years ago

Is 2.9 less than 2.099?

16 years ago

How did you get 4 +/- 3i/2?

16 years ago

Yes, it should be #2, "too many apples"

16 years ago

Check out the thread by Kim with many posts. That thread is very similar: symbols such as square roots or division with a numerator over a denominator separated with a bar have assumed parentheses. When writing in a single line, those parentheses must be...

16 years ago