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Christiaan
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In the final step of DNA extraction from E. Coli bacteria, we used ethanol so that the DNA would precipitate.
Why is it that DNA
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For one of our lab sessions, we had to isolate DNA from E. Coli bacteria. During one of the steps in the isolation process, we
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Answers (81)
4p+3q=9 2p+3q=3
because the sign of the second degree term of the polynomial (x^2) is positive, its graph is a parabola with a minimum. So A is true. if you fill in -1 and 4 in the equation, you get 0, ergo the graph crosses the x-axis at -1 and 4. So F is true. For x =
Just first plot the line where 3x+4y = 12 This is the line y = -(3/4)x + 3 Since you are dealing with the graph of an inequality, you will have to indicate an area where the inequality holds. since 3x+4y has to be less than or equal to -12, that area
The first thing you should do is try to remove the brackets. You can do this by using distributivity. In symbols, this means the following: a*(b + c) = a*b + a*c As you can see, the first term of the equation is 7*(y+3) So, using distributivity, we find
This sequence is the Fibonacci sequence. Every number in this sequence is the sum of the two previous numbers: 1+1 = 2 1+2 = 3 2+3 = 5 3+5 = 8 5+8 = 13 The first seven numbers of the sequence are given, so to find the next four numbers add the two previous
You need to calculate the average force. For this, we use Newton's second law, which states that: F = m*a (where F stand for force, m is mass and a is acceleration). Since the mass of the person was already given, we only need to calculate the persons
I would go with the first sentence. The word "female" isn't used that much in informal language and since the word "girl" already implies that the person is of the female sex, sentence nr. 3 has a word too many.
Yes, that is correct.
The answer would be "all of the above", because they are all plants or algae. Plants and algae are both autotroph organisms. This means they use the process of photosynthesis to produce glucose (type of sugar = food for the organism) from minerals using
Using the substitution method means you first find one of the two variables (perhaps in terms of the other variable) and then 'substitute' this result in the other equation. If we apply it on this system we would work as follows: 1) Look at the second
Yes
just to make sure. You have: (17-12)-(-15)/(-6)+3+6 ? Ok, the you do the following. The order of operations dictates that you 1) First work out the operations between brackets () 2) work out all the multiplications and divisions 3) work out all the
No it's not. You haven't considered the fact that the order in which he takes the audits doesn't matter. So e.g. the combination 1-2-5 would be the same as 5-1-2.
The polynomial would have to have 4 zeros, meaning it would have to be a polynomial of the 4th degree. The general form for a polynomial of the 4th degree with zeros a, b, c and d would be: f*(x-a)*(x-b)*(x-c)*(x-d) where f is a random real number (lets
Your answer is right. -x/2 + 4 = 12 so: -x/2 = 8 so: -x = 16 so x=-16 You can check this by filling in -16 in the equation: -(-16)/2 + 4 = 16/2 + 4 = 8 + 4 = 12
Yes, that is correct. The sample space is the set of all possible outcomes of an experiment. Answer B gives the set off all those outcomes
The | | signs mean "absolute value". When you take the absolute value of a number, you always take the numbers positive value. So |-5| = 5, |-21| = 21, |24| = 24, |5| = 5, and so on. So, for the first expression, if we replace the x with 5, we get that:
well, first divide 1 billion by 3600*24*365=31536000. This is the number of seconds in one year. You will find that 1000000000/31536000=31.7097 So, now you know there are 31 whole years in that 1 billion seconds. Next you subtract that 31 years from your
Well, when working with the less and greater signs (or inequalities as they are called), you can always work in the same as you would do with normal equation (in other words, just replace the less and greater signs with an equals sign). So for this
The diameter of the sphere is decreasing at 0.2 cm/min. This means that its radius is decreasing by 0.1 cm/min. We also know its current radius is 8 cm. The formula for the volume of a sphere is: V= (4/3)*Pi*r^3 So, we can calculate the volume difference
The diameter of the sphere is decreasing at 0.2 cm/min. This means that its radius is decreasing by 0.1 cm/min. The formul
from the first equation, x/y=4, we can find that x=4*y. If we fill this in into the second equation, we get that: x-y=9 (4*y)-y = 9 3*y=9 y=3 Knowing that y=3, we fill this in into our first equation and we get that: x=4*y, so that x=4*3=12 So, y=3 and
(m^5)*m = m^5*m^1 = m^(5+1) = m^6 (m^6)^-7 = m^(6*-7)=m^(-42) m^(-42)/(m^(-32)*n^8) = m^(-42-(-32))*n^(-8) = m^(-10)*n^(-8) (=ANSWER)
just look for "anagrams" in google, click on the first link and give in your letters
cranberries
I don't understand the reasoning behind your answer. Anyway, the way to do this is the folliwing. For every year your money is on the bank, the bank multiplies your balance by 1.05. This means that after 3 years, you get the following: Money after 3 years
This is impossible to answer this way, since the initial amplitude isn't given.
Sorry, made an error in my reasoning. Amplitude is correct, but speed and acceleration isn't. For a body undergoing simple harmonic motion, the expression for the maximum speed is: v(max) = A*f = 0.001 m * 118 Hz = 0.118 m/s and the expression for the
a) A= 2.0 mm /2 = 1.0 mm = 0.001 m b) The time it takes the blade to go back AND forth (the period of the oscillation) can be found as follows: T=1/f= 1/118Hz = 0.00847 s So, for the blade to cross the distance of 0.002 m, it takes 0.00847/2 s = 0.00424 s.
f = sqrt(k/m) where f is the frequency, k is the spring constant of the four springs, and m is the mass of the car. => k = f²*m = (3 Hz)²*1400 kg =12600 N/m This results is the results for the total of the four springs, so for one spring we divide the
g = (G*M)/r² Where G is The gravitational constant, M is the mass of earth, and r is the distance from the center of the earth. Given this formula, you should be able to calculate the distance (for data about earth's mass and radius, search wikipedia for
b) Since F = m*a The average stopping force can be calculated as: F = 72 kg* -294.25 m/s² = -21.186 kN The negative sign for both the acceleration and stopping force means they are poiting upward, since we took the downward direction to be positive.
a) First you calculate his speed of impact (the speed when he hits the ground). For this you can use the formula: v² = v0² + 2.a.x where: -v is your final speed -v0 is your initial speed (0 m/s in this case) -a is your acceleration (the gravitational
Kind of a strange question, since every object can have a varying velocity while having a varying speed. When you talk about speed, you are referring to a quantity (e.g. John travels with a SPEED of 2 mph). When you talk about velocity, you also talk about
b) According to Newton's 3rd law, for every action there is an equal but opposite reaction. This means that if the pole exerts a force of 493.12 N on the firefighter in the upward direction, the firefighter must also be exerting a force on the pole of
a) Normally, al objects on earth fall with the same (nearly constant)acceleration (namely 9.81 m/s²). We see here that the firefighter only slides down the pole with an acceleration of 3.11 m/s². This means, that in order to slow down the firefighter,
Thanks a lot! I appreciate all your help. It's really hard to find decent info about this subject.
It is true that the tomato is frequently used in italian cooking. So if that's what you meant to say, then you're right. However, the tomato was originally cultivated in South America, after which it was brought to Europe.
Yes, that's the correct answer.
If you look carefully at the two terms of the sum, you can see that in each term there is a sqrt5. So, you can write the sum as: sqrt(5)*(9-3) = 6*sqrt(5)
You have to remember that i² = -1. so, when you apply the distributive property: (-8+i)/(2-3i) = -8*2 + 8*3*i + 2*i - 3i² = -16 + 26*i +3
Yes, that is correct
^5 sqrt symbol a^6 = a^(6/5) and ^4 sqrt symbol a^3 = a^(3/4) a^(6/5)*a^(3/4) = a^((6/5)+(3/4)) = a^(39/20) = ^20sqrt symbol a^39
You forgot to multiply sqrt(x) with -3sqrt(x) and add this to the result. If you do so, you get an additional term with -3x
I've did the calculations, and I get 20sqrt symbol a^39
kilograms
for ther first square root we can do the following: Since y² has an even exponent, we can divide the exponent by 2 and put the y outside of the root. x^5 can also by written as x*x^4. Since x^4 has an even exponent, we can divide the exponent by 2 and put
C)radius circumference = 2*Pi*radius Diameter = 2*radius Since Pi is approximately 3,14, the circumference is approximately 6,28 times bigger than the radius. The diameter is 2 times as big as the radius
Given is that the ratio of height is 1:100. This means that for every unit of height in the photograph, the real object is 100 times as large. So, e.g. if we have an object that measures 20 cm on the photograph, this means the object is 2000 cm in real
I don't really know how much you know about mathematics, but I'll give you some basic steps in sketching a function. 1) find the domain of the function. You can't draw the curves in places where the function can't go. (For polynomials of x, the function
