Friday
November 28, 2014

Posts by MathMate


Total # Posts: 10,830

French
Each country name has a gender and a number. The country France is feminine singular, as demonstrated by the phrase "Vive la France!" The country United States (Les États-Unis) is masculine plural. For feminine country names, we use the preposition "en&...
July 9, 2013

math
The question does not give the required context. Some countries charge sales tax on labour, and some may not. I believe Overhead rate would be added to the labour, meaning that for every $12 paid to the worker, the customer pays $12(labour)+$15(overhead)=27. If sales tax does ...
July 9, 2013

Computer Programming
Your code seems to be in reasonable shape, except that it does not yet implement the algorithm to find the maximum revenue. So the current revenue is 600*50=30,000$ a month. Your program will increase the rent by $40 steps and recalculate the revenue. When the revenue starts ...
July 9, 2013

MATH:( Base systems?!
Divide the number by the base and note the remainder on the right. The digits from bottom to top is the number required. Example: Find 37 to base 5. 37 R 2 (37/5=7 R2) 7 R 2 (7/5=1 R2) 1 So the number is 1225
July 9, 2013

Number and Operations
3,6,9 and 18, since 20/18 also has a remainder of 2.
July 9, 2013

math
The question should have read: There are 35 students in a class who stu dy either art, music or both. 15 study art. Twice as many students who study art study music. COMPLETE THE VENN DIAGRAM TO SHOW. 35 students in all 15 study art 2*15=30 study music so 35-30=5 study only ...
July 9, 2013

Math 17 Synthetic Division
Showing steps of synthetic division requires lining up many numbers vertically, which is impossible to do at this web site. I suggest you refer to examples of sites which can format number displays. Try for example: http://www.purplemath.com/modules/synthdiv.htm
July 9, 2013

GEOMETRY LATERAL AND SURFACE URGENT (PLEASEHELP)
Total surface area of a rectangular box =2(lw+wh+hl) where l,w,h=length, width and height respectively. Total surface area of a cubical box (all sides equal to "a" =6a² Total surface area of a Rectangular prism : see above for rectangular box
July 9, 2013

Math
solid: square pyramid height, h = 15 side of base, s = 5 Area of base, Ab=5^2 area of cross section at height y =Ab*(y/15)^2 Volume (using the general solid integral formula based on Simpson's rule) V=(Area at top + Area at base + 4*area at mid-height)*height/6 =(0+25+4*6....
July 9, 2013

Prisms
See: http://www.jiskha.com/display.cgi?id=1374407375
July 9, 2013

Number System
Subtraction is done as in decimal, one digit at a time from the right. Borrow from the left digit if necessary. If the result is expected to be negative, reverse the subtraction (to get a positive difference) and then change the sign. Example: 1101 -0110 ----- 0111
July 9, 2013

Number System
Not sure if the question was quoted properly, because the last group of the first number has only three digits. To add two binary numbers, we add a digit at a time just like in decimal, using the following rule: 0+0=0 0+1=1 1+0=1 1+1=0 with a carry of 1 So to add 101 to 111 we...
July 9, 2013

Number System
You can convert too hex from binary by grouping, from the right, four digits at a time: 1 1011 1011 and convert each group from binary to a decimal digit, using A for 10, B for 11...and F for 15. For example, 1011=> 8+0+2+1=11=>B so the above example becomes 1BB in hex.
July 9, 2013

Computer Programming
I suggest you give it a try and post any difficulties you encounter. Programming is not as hard as it seems once you get started.
July 8, 2013

Math
Width = x inches (given) Length = 2x inches(given) Height = 5 inches (given) Volume = 5*x*2x = 10x² in.3
July 8, 2013

Math (please help me Steve)
Here's a lower bound solution. You may want to investigate other possibilities. The number 7 can be partitioned into 3 ascending non-negative integers in 8 ways, namely: 007# 016 025 034 115# 124 133# 233# There are 3 permutations of partitions (indicated #) with non-...
July 8, 2013

Math
Both, in a minute and in an hour. The LCM of 3, 5 and 10 is the same as the LCM of 3 and 10 because 5 divides 10 (5 is a factor of 10). The LCM of 3 and 10 is 30. So the soonest the will flash together is 30 seconds.
July 8, 2013

Vba
First, the concept of sub programs is to isolate a particular calculation and make a "black box" which returns a "complicated" answer without having to worry about how it is done. On the other hand, the UI (user-interface) belongs to a separate element of ...
July 8, 2013

math
15 2's = one way 10 2's + 2 5's = 12!/(10!2!) ways 5 2's + 4 5's = 9!/(5!4!) ways 6 5's = one way Total=194
July 7, 2013

Calculus
Think of f(x)=f1(x)+f2(x) where f1(x)=x f2(x)=-cos(x) We note that f1(x) is monotonically increasing throughout [-π, π) while f2(x) is increasing between [-π, 0) and decreasing between [0,π). Therefore to find the absolute maximum and minimum, we only need to check...
July 7, 2013

Statistics/Probability
The sum P(RR)+P(PP)+P(SS)=0.3288 which rounds to 0.33.
July 7, 2013

Statistics/Probability
A is correct. I assume you know that rock wins over scissors, paper wins over rock, and scissors wins over paper. For the other parts, make a tree diagram complete with corresponding probabilities and sum all the appropriate outcomes to get the probability. Example: R=rock, P=...
July 7, 2013

math
Let x=length of one of the equal sides. Then 42=16+x+x Solve for x.
July 7, 2013

Math
Z1=(2-5.5)/3.5=-1 Z2=(9-5.5)/3.5=+1 Look up the normal distribution table to find P(Z1<Z<Z2)
July 7, 2013

physics
Wavelength = Speed/frequency Speed of light: 3*10^8 m/s Frequency = 3*10^9 Hz Wavelength = 3*10^8/(3*10^9) = 0.1 m = 10cm
July 7, 2013

heeeeeelp math
Not too sure the point of the question, but here's the answer anyway, assuming b and c are given but unknown constants. To find (max|f(x)|) for x∈[-10,10]: Complete squares to get f(x)=(x+b/2)²+c-b²/4 where (-b/2, c-b²/4) is the vertex. If -b/2 ∈...
July 7, 2013

heeeeeelpm math
Continued from http://www.jiskha.com/display.cgi?id=1373027417 Can you show an idea of your probability tree to make sure that your interpretation corresponds to what was asked? What did you get for your answer?
July 7, 2013

(pls help) physics
Q1 1kg = 1000 g It does not make sense to use a bucket of 1.5kg to pull up 10 g of water. You must mean 10 kg of water. 1.5kg+10kg=11.5 kg Work done = mgh (in consistent units) =11.5*9.8*8 j Q2 The word "average" has been used very vaguely. If it means to calculate ...
July 7, 2013

physics
Displacement = "distance" due north (requires speed and direction)
July 7, 2013

physics
Please type your post in "proper case", i.e. use lower case except for the first letter of a paragraph, sentence, or proper nouns. In posts, we use all uppercase only when we mean to SHOUT at someone. "Density bottle" is also called a specific gravity ...
July 7, 2013

Math (Geometry)
That's true, it should be the supplement of asin()=180-31.6=148 (nearest degree).
July 7, 2013

Math (Geometry)
See: http://www.jiskha.com/display.cgi?id=1373027638
July 7, 2013

math
Check: 12+12=24 3(12-4)=3*8=24 So answer is correct.
July 7, 2013

math
Make a probability tree. If the first one is white P(W)=6/10 P(WB)=(6/10)(4/9)=24/90 If the first one is black: P(B)=4/10 P(BB)=(4/10)(3/9)=12/90 P(XB)=P(WB)+P(BB)=24/90+12/90=36/90=2/5
July 6, 2013

math
The mid-point has coordinates which are the averages of those of A and B: M((-3+3)/2, (2-2)/2) or M(0,0) The length of a segment is obtained by summing the squares of the difference of coordinates, and then take square-root, namely D(AB)=sqrt((x2-x1)^2+(y2-y1)^2) =sqrt((3-(-3...
July 6, 2013

Physics
Frictional resistance = μN =μmg =μ6.2N Force required = 2.2 N Thus μ6.2 = 2.2 μ=2.2/6.2 = 0.35 approx.
July 6, 2013

math - help please
Use the definition of conditional probability: P(X9|9X) in the previous question. P(X9∩9X)/P(9X) =P(99)/P(9x) =(4/52)*(3/51) / (4/52) =3/51
July 6, 2013

probability
This is a problem of conditional probability. The shortcut to the answer is consider only the outcomes where the first child is a girl, and calculate the probability among those where both are girls. I.E. Ω={GG,GB} favourable outcome: {GG} So assuming all outcomes are ...
July 6, 2013

algebra2
Make a tree diagram assuming the products are introduced one after the other. Assuming A=success of product 1, and a=failure of product 1, etc. Required probability =P(Abc)+P(aBc)+P(abC) =(1/5)(1/3)(1/2)+(4/5)(2/3)(1/2)+(4/5)(1/3)(1/2) =13/30
July 6, 2013

Math
What is the rest of the question?
July 5, 2013

math
First factor out the common denominator of 12²=144, which then gives automatically the factorization: (3m+4n)(9m-8n)/144
July 5, 2013

advanced functions
From the function: f(x) = (x + 1)(x – 2)(x – 4)² we see that it is a quartic with leading coefficient equal to 1. So the shape of the curve is like a letter W. Since factors (x+1) and (x-2) are distinct, we see that f(x)<0 ∀ xϵ(-1,2). The double ...
July 5, 2013

trigonometry
Up 50', horizontal 200' makes an angle of elevation of atan(50/200)=14° approx.
July 5, 2013

Physics
Downward force due to gravity is F=1368.1 Friction force resisting movement is FF=1127.6 Therefore net downward force =force required to prevent load from sliding down =F-FF =1368.1-1127.6 =240.45 N
July 5, 2013

Physics
mg=4000 N is correct. θ=20° μ=0.3 (assumed static friction) Gravity force along plane F=mg sin(θ) Friction force along inclined plane =μmg cos(θ) direction acts against movement. To move load up slope: Force required =mg sin(θ)+μmg cos(&...
July 5, 2013

Spanish - help required
help required.
July 5, 2013

math
there are 360 degrees in one revolution. If it rotates at 600 rpm (revolutions per minute), then the angle it goes through in one minute is 600*360°. In one second, divide the above number by 60.
July 5, 2013

Chemistry
Each revolution moves through 360 degrees. So 48 RPM moves through 48*360° in one minute. In two seconds, the angle is 48*360*(2/60) =48*12 =576°
July 5, 2013

math
Draw a diagram and hence deduce that Height=400 sin(40°)
July 5, 2013

math
Ratio required: (54-30)/(30-26) =24/4 =6/1 Weight of 26% alloy:210*(6/7)=180 oz Weight of 54% alloy:210*(1/7)=30 oz
July 5, 2013

Calculus - linearization
Since the exact increase can be calculated readily by π(r2²-r1²) =π(44.4²-44²) =35.36π I assume you are working on linearization in calculus. Let A(r)=πr² A'(r)=2πr Approximate increase in area =A'(r)Δr =2πr*Δr =2&...
July 5, 2013

heeeeeeeelp math
Given ΔABC, A=20° B=80° => C=80° => isosceles triangle with base BC=x. Let E=mid-point of BC, then ΔAEC is a right triangle right-angled at E EC=x/2 By definition of cosine, AC=(x/2)/cos(80°) =x/(2cos(80°)) Consider ΔADC, AD=x (given...
July 5, 2013

heeeeeeeeeeelp math
The way I interpreted the question is that she does not move at all if she rolls doubles. After rereading, it looks like that when she rolls doubles, she moves the token before rolling again, and on the third double, she advances it to 36. If this latter interpretation is ...
July 5, 2013

heeeeeeeeeeelp math
Solve using a probability tree. First calculate the outcomes with distinct rolls for a sum of P(x)=30/36. For simplicity, the probability is multiplied by 36 to use integers. sum=x 36*P(x) x*36*P(x) 3 2 6 4 2 8 5 4 20 6 4 24 7 6 42 8 4 32 9 4 36 10 2 20 11 2 22 Sums of 2 and ...
July 5, 2013

Math
One kilogram is equivalent to 1000 grams. So 4.86932 kg = 4.86932*1000 g = 4869.32 g To round to the nearest gram, we draw a vertical line at the decimal point: 4869 | 32 if the first digit after the | bar is 5 or over, we add one to the number before the bar. Otherwise we do ...
July 5, 2013

Physics
There is probably a typo: ...east at 4.0m/s for 0 seconds. should probably read ...east at 4.0m/s for 30 seconds. Sum up all the individual displacements to get the overall displacement. Let +x=east, +y=north, then (dx,dy) =(-2*15+0+4*30, 0+3*20+0) =(90, 60) =108.17 in ...
July 4, 2013

Math Calculus
The domain of the function is all Real, except for those two points which will result in a zero in the denominator, and hence f(x) will not be defined. One of these points is x=7. The roots can be deduced from the numerator of f(x). One of the roots is x+1=0, or x=-1. Vertical...
July 4, 2013

C++ debugging
If you need to debug a programme, it would help more if you specify: 1. object of the programme 2. language (C++ in this case) 3. What does not work: - does not compile? (error message?) - does not run ? (error message?) - does not give proper answer (logical error) - loops ...
July 4, 2013

math 3
Add three times the second equation to the first to get: (10+15)x=-16+66 25x = 50 x=2 Substitute x=2 into the second equation to get: 5(2)+2y=22 2y=22-10=12 y=6 Now substitute x=2 and y=6 into the first equation to check solution 10(2)-6(6)=-16 so solution is correct.
July 4, 2013

math
As Reiny pointed out, we do not use tables for the past 40 years, so we can only guess what's shown in the tables. My guess would be that the factor is the ratio of future/present values, namely: 1.005^48=1.270489 Note: compound interest is calculated as: future value=...
July 3, 2013

Statistics
Your reasoning and calculations are correct. So the probability of getting a prime number as the sum is 15/36.
July 2, 2013

Stats
An even number is any of 2,4,6,8,10,and 12 (within the sample space above). So the probability of throwing a sum equal to an even number is the sum of the corresponding probabilities, namely: 1/36+3/36+5/36+...1/36.
July 2, 2013

math
By trial and error, I get: 11^3+(-5)^3+(-6)^3=990 If we assume the largest integer is N such that N(a,b)=a^3-b^3-(a-b)^3 =3ab(a-b) The likely candidates are: 990=3*11*5(11-5)... a,b,c = 11, -5, -6 993=3*331 996=3*332=3(4*83) 999=3*333=3(9*37) All of which cannot be reduced to ...
July 2, 2013

probability
The experimental probability of multiple births is #of multiple births/total # of births =(68339+1337)/3612258 =1.9% (approx.) Check my arithmetic.
July 2, 2013

compound interest math
calculate the compound interest on an investment of $45,000 at 6% interest compounded quarterly fro 3 years Formula for compound interest: A=P(1+i)^n A=amount at the end of n periods (future value) P=amount invested (present value) i=interest per compounding period. 6% per ...
July 1, 2013

Math
Check for type, I believe the question should read: (8/(sqrt(x)-3)) - (48)/x-9) =(8(sqrt(x)+3)/(x-9)- 48/(x-9) ... multiply top & bottom by sqrt(x)+3 =(8sqrt(x)-24)/(x-9) =(8(1/2)/sqrt(x)) / 1 ... diff. top and bottom, de l'hôpital's rule =4/3
June 25, 2013

math
4x4x4x4 =4^4 =(2^2)^4 =2^(2*4) =2^8
June 25, 2013

Discreet math
If you need a proof of the proposition/identity, please first double check the expressions. [(pvq)^(p=>)^(q=>)]=>r[(pvq)^(p=>)^(q=>)]=>r Not sure if something is missing where expression is indicated in bold. Perhaps there are other problems.
June 25, 2013

Math :)
You're welcome!
June 25, 2013

Math
Typo corrections: Area of square PRSQ - Area of ΔPDQ - area of sector RPD - Area of sector SQD. Note that sectors RPD and SQD have central angles of (90-60)=30°.
June 25, 2013

Math
We will describe the problem as follows. Two circles A,B of equal radii (r=30') are centred at P, Q, distance r apart. Points R and S on circles A, B are such that RS form a common tangent to both circles. Hence PRSQ form a square of side r. Arcs are drawn with centre P ...
June 25, 2013

devry
Divide total cost by the number of miles driven to get the average cost per mile, $773.02 / 180 miles = ? $/mile
June 24, 2013

Physics (Stress & Strain)
Area = lw (correct) =1cm x 2.5 cm =0.0100 cm x 0.025 cm =0.00025 m² (remember, length 8.1 does not come into the calculation of cross section area) Stress =force (in N)/area (in m²) =150000/0.00025 Pa =6×10^8 Pa =6×10^5 mPa =600,000 mPa Strain =...
June 24, 2013

Algebraic Fractions
6x/(12x) would be simplified just like an ordinary (numeric fraction). Look for common factors in the numerator and denominator to cancel out, separately for numeric values and variables. For the numeric part, the HCF is 6 and for variables, it is x. So divide both numerator ...
June 24, 2013

Physics (Stress & Strain)
Correct!
June 24, 2013

Physics (Stress & Strain)
Stress = force / area Load is 87500N which is just a force. You need to divide the force by the area resisting the tensile stress. Factor of safety is then ultimate stress / stress under load
June 24, 2013

Physics (Stress & Strain)
Do not forget to multiply by 10^-4 when converting cm² to m² Here we are talking about shear stress, which is dependent on the thickness and the circumference of the hole, not the area. Surface area which resists shear force is similar to the lateral surface area of ...
June 24, 2013

math - please check question
There must be a typo, because the cheapest ticket is $7, which when multiplied by 1275 gives 8925, much higher than the revenue of $2490. Assuming total of 275 tickets sold. x=number of adult tickets 275-x=number of children's tickets Then 12x+7(275-x)=2490 Solve for x to ...
June 24, 2013

Physics
So is it 30 m/s or 35 m/s? Let the initial velocity be u m/s, which remains constant while it is airborne. Time to drop down 1.5 m vertically with g=9.81 m/s^2 is given by S=(1/2)gt^2 or t=√(2S/g)=√(2*1.5/9.81)=0.553 s Horizontal distance covered before touching ...
June 24, 2013

Math 61 part 2
To solve this category of problems where you need the area/centroid of a region bounded by two curves, you need to first find TWO intersection points of the two curves by equating y1(x)=x^2 and y2(x)=2*x+3. The intersection points are at x=-1 and x=3, with y2(x) above y1(x). ...
June 24, 2013

How do I solve for this??
H (joules) =ΔT*m*Q where H=energy required (joules) ΔT=change in temperature (°C) m=mass (g) Q=specific heat in j/°C/g So heat gain =12.67 °C * 100 g * 4.180 j/°C/g =5296 j
June 24, 2013

physics
non-zero and constant.
June 24, 2013

math
Find the slope of the line that joins (0,-1) and the centroid of the parallelogram which is (8.5,4), or the mean of all the coordinates.
June 24, 2013

Physics
See: http://www.jiskha.com/display.cgi?id=1372082354
June 24, 2013

Physics
See: http://www.jiskha.com/display.cgi?id=1372082354
June 24, 2013

Math
Since 31^2=961<1000, and 32^2=1024>1000 we can have a maximum of 31 pairs of numbers whose product would be less than 1000. So the maximum number of runners would be 62.
June 23, 2013

Physics (Stress & Strain)
When you see a factor of safety over 10, it would be a good idea to check your calculations. Watch out for units conversions for areas and volumes. In converting 6.5 cm² to m², you must multiply by the (linear factor)², namely 0.01². The area is therefore 6...
June 23, 2013

Physic (Stress & Strain)
Both are numerically correct. In #2, you divide m by m, hence no units.
June 23, 2013

math
This is similar to a previous question. I believe it would do you good to plot the scatter diagram and calculate the regression line according to the formula. Post again if you have difficulties. For your information, the regression coefficient a is between 0 and 0.2, the ...
June 23, 2013

statistics check :)
You're welcome!
June 23, 2013

statistics check
I got it from summing (y-yBar)^2, and I had yBar=24.3.
June 23, 2013

statistics check
SE² is given by: [ Σ(y-yBar)^2 - [Σ(x-xBar)(y-yBar)]²/Σ(x-xBar)² ] /(n-2) I get: Σ(y-yBar)²=258.1 Σ(x-xBar)(y-yBar) = -168.7 Σ(x-xBar)²=296.9 n=10 to get se²=20.28
June 23, 2013

math
A=P[(1+i)^n -1]/i => P=Ai/[(1+i)^n -1] =1000000*(0.08/12)/((1+0.08/12)^480-1) =286.45023 per month.
June 23, 2013

Please help me solve
See http://www.jiskha.com/display.cgi?id=1372073330
June 23, 2013

Please help me solve
Multiply the temperature difference by the calorimeter constant to get the energy in joules.
June 23, 2013

Phil103 Informal Logic
I think you would be more productive if you read Chapter six before you attempt these exercises. For example: ~p∨q reads as not p or q, with the "not" applying to p only.
June 23, 2013

Strength of materials
You have posted a number of questions without your input, and most of all, without the accompanying diagrams, nor the descriptions to replace the diagrams. If you believe that we can imagine what the loading is like, you are mistaken. I suggest you concentrate on one ...
June 23, 2013

Physics (Stress & Strain)
Area 10.5cm²=10.5*10^(-4) m² Load = 5550 N Stress =load/area =5550/(10.5*10^-4) Pa =5285.714 kPa Strain: 1.1mm/1.9 m =1.1*10-3 m / 1.9m =0.000 579 (no units)
June 23, 2013

math
This is an exponential function of the form y=ae^x Substituting x,y values (20,45)into the equation, 20=160*e^(45k) take logs on both sides and solve for k k=-(1/45)ln(8) =-0.04621 So the mathematical model becomes: y(t)=y0*e^(-0.04621t) t=time in hours y0=initial mass y(t)=...
June 23, 2013

Physics
2 grams of hydrogen occupies 22.4 litres, so 18000kg=18000*1000 g will occupy 18000000/2*22.4 L =9000 m³ (at STP)
June 23, 2013

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