A cryptarithm is a math puzzle in which the digits in a simple equation are replaced with letters. Each digit is represented by only one letter, and each letter represents a different digit. So, for example, we might represent 51+50 = 101 as AB + AC = BCB. In the cryptarithm SEND + MORE = MONEY, what digit does the letter Y represent?
Hello, let's do it step by step and see what we can find.
We assume that M is different from 0, otherwise we could find several different solutions I would think.
It means that S + M is greater than 10, otherwise the number of digit of the result would have been 4 and not 5.
The only possible number for M is then 1. M = 1
But then, S can only by 9, otherwise S + 1 < 10. S = 9
S + 1 = 10 + O if there is no carry over, so S = 9 + O
1 + S + 1 = 10 + O if there is a carry, so S = 8 + O
So O = 0 or O = 1. Wait !? M is already equal to 1 so O must be 0
E cannot be equal to N so 1 + E = N, meaning that there must be a carry over from column second from the right.
and E < 9 as we know that there is no carry over from column 3 from the right.
N + R = 10 + E => 1 + E + R = 10 + E => R = 9, impossible, as S=9
or 1 + N + R = 10 + E => 1 + 1 + E + R = 10 + E => R = 8
And there is a carry over from the column 1 from the right, so:
Y cannot be 0 or 1, as already used so D + E > 11
8 and 9 are already taken so we could have 7 + 5 = 12, 7 + 6 = 13 and that's it.
It means that E is 7 or D is 7.
If E is 7 then E+1=9=N, impossible, so D = 7
Then, E is 5 or 6
if E = 6 E + 1 = N = 7, impossible, so E = 5 and N = 6.
And 7 + 5 = 12 so Y = 2.
Hope this helps.
Do not hesitate if you need further explanation.
Explanation: look at which phase cause what. You have an exact replica in prophase.
im very sure the answer is C)Letter C because the emergence of a mature forest will resist changes to the ecosystem with the greatest success.
1 - Which Letter represents the diameter?
2 - Which letter represents radius
3 - Which letter represents tangent
4 - Which letter represents semicircle
5 - Which letter represents secant
6 - Which letter represents inscribed angle
7 - Which letter represents minor arc
8 - Which letter represents central angle
2.it is 15°C.
9. b & d
10. a, c & e
To analyze the graphic you have to remember the three states of matter, solid, liquid and gas.
In energy terms, solid is less energetic than liquid, and liquid is less energetic than gas.
If you look at the image attached, you can observe that all the three states are very differentiated from each other. I used red numbers to mark these states:
1 = solid state
2 = liquid state
3 = gas state
This is related to the sense of the increase of energy (follow the arrow on the horizontal axis).
Then, look the letters a, c, and e, these letters are showing the same that the numbers in red: the three states of the substance.
The letters b, and d are pointing the transitions states of solid and liquid, where even when the energy increases, the state doesn’t change, it means, still liquid, and still solid to these temperatures.
With this in mind, you can read the graphic and answer the questions:
2. The boiling point is the transition temperature from liquid to gas, in the graphic is c to e, it is 15°C.
3. The melting point is the transformation from solid to liquid, in the graphic, it means c to a, it is 5°C
4. solid-state warming has to be represented by letter a, look the temperature is rising, to the next state. It's not letter b, because temperature it's not changing.
5. Like the question above, the warming is when temperature increases, it is letter c
9. The letters who show a change in potential energy are, the letters above the horizontal line of the graphic: b and d.
10. The letters who shows a change in kinetic energy are the letters who are related to changes in temperature. these are: a, c and e.
12. crystallization is a process of solidification of a substance, this has to be related to letter a, also, the crystallization is the process where the substance decay to the less energetic state that is also the more stable.
AaBb × aabb
A test cross is a cross between an unknown genotype (dominant phenotype) with a homozygous recessive genotype in order to discover the actual genotype of the species exhibiting dominant phenotype.
This is because one allele of a gene is capable of masking the expression of another, the allele masking is called DOMINANT allele while the allele being masked is called RECESSIVE allele. The combination of these two alleles is termed heterozygosity.
An organism that is phenotypically dominant for a specific trait may either be heterozygous or homozygous for that gene. For example, a plant gene for tallness with an dominant allele T, and recessive allele t. This plant will need tall if the genotype is TT (homozygous dominant) or Tt (heterozygous dominant). In order to know which of these genotypes the plant actually has, a test cross is conducted.
In this example, two genes A and B are involved. For the first gene, A represents dominant allele while a represents recessive allele. For the second gene, B represents dominant allele while b represents recessive allele.
In a cross involving parents AABB (homozygous dominant for both genes) and aabb (homozygous recessive for both genes), the F1 progeny will all exhibit phenotypic dominance (AaBb).
However, we cannot know the genotype by merely looking at the phenotype. We cannot ascertain yet whether the dominance is heterozygous or homozygous, hence the need for a test cross.
The test cross is between the dominant F1 progeny and a homozygous recessive i.e. AaBb × aabb. Some of the F2 generation will show recessive traits if the unknown genotype is heterozygous.
Each letter represents the dominant allele inherited from each parent.
Letter A represents the greatest potential energy.
Letter C represents the least potential energy.
Letter C represents the greatest kinetic energy.
Letter A represents the least kinetic energy.
Letters A and C represent an equal amount of both potential and kinetic energy.
Potential energy is a put away energy that relies on the overall situation of different pieces of a framework. A spring has progressively potential energy when it is packed or extended. A steel ball has more potential energy raised over the ground than it has in the wake of tumbling to the Earth. In the raised position it can do more work. Potential energy is a property of a framework and not of an individual body or molecule; the framework made out of the Earth and the raised ball, for instance, has progressively potential energy as the two are more distant isolated.\
Kinetic energy is a type of energy that an article or a molecule has by reason of its movement. In the event that work, which moves energy, is done on an item by applying a net power, the article accelerates and along these lines increases kinetic energy. Kinetic energy is a property of a moving item or molecule and depends on its movement as well as on its mass. The sort of movement might be interpretation (or movement along a way starting with one spot then onto the next), turn about a pivot, vibration, or any blend of movements.
The smallest whole number that can be the value of the expression is 2
Given that the letters represent different digits, to get the smallest whole number value for the expression we have;
The letters G and A cancel out from the numerator and the denominator to give;
Therefore, the smallest whole number can be from 2 and above as the product of six digits is more than one times the product of two digits
If we put
K = 2, A = 3, N = 4, R = 6, O = 1, M = 9, and E = 8, we have;
Therefore, the smallest whole number that can be the value of the expression = 2.