Answer to part A: 11w^2+7z^2
Answer to part B: 14w^2+9w
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Explanation:
For part A, the expression 4w^2+7w^2+7z^2 has one pair of like terms. That pair is 4w^2 and 7w^2 which combine to 11w^2. You add the coefficients to get 4+7 = 11, then tack w^2 onto everything to say 4w^2+7w^2 = 11w^2
We cannot combine 11w^2 and 7z^2 as they aren't like terms. So we leave it as 11w^2+7z^2
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In part B, the like terms are 15w and -9w. They combine to 15w-9w = 6w. You can think of it like 15-9 = 6 then stick a 'w' to each term. We cannot combine the w^2 term with the w terms.
Answer:
after 3 weeks
Step-by-step explanation:
y=8x
y=-5x
y=8*3=24+48=72
y=-5*3=-15
87-15 is 72
after 3 weeks
Using the formula for the area of a triangle we can solve for the base.
The formula for area of a triangle is : Area = 1/2 x base x height
We are given the area and the height:
33.6 = 1/2 x 4 x base
Multiply both sides by 2 to remove the 1/2:
67.2 = 4 x base
Divide both sides by 4 to solve for the base:
67.2 /4 = 16.8
Check: Area = 1/2 x 4 x 16.8 = 33.6
The base is 16.8 inches.
Step-by-step explanation: hopefully this helps
The Hardy-Weinberg principle states that the frequency of alleles in a large randomly reproducing population will remain constant from generation to generation if certain assumptions are met.
The assumptions are:
- No mutations.
- No migration into or out of the population
- No selection, and
- No genetic drift.
<h3>What
is the hardy-Weinberg principle?</h3>
- The Hardy-Weinberg principle, also known as the Hardy-Weinberg equilibrium, model, theorem, or law in population genetics, holds that in the absence of additional evolutionary factors, allele and genotype frequencies in a population would remain constant from generation to generation.
A population is not evolving while it is in Hardy-Weinberg equilibrium. Discover how violations of Hardy-Weinberg assumptions result in evolution.
- When a population reaches Hardy-Weinberg equilibrium for a gene, it stops evolving and allele frequencies remain constant over generations.
- Hardy-Weinberg's assumptions include no mutation, random mating, no gene flow, infinite population size, and no selection.
- If the assumptions for a gene are not met, the population may evolve for that gene (the allele frequencies of the gene may change).
Therefore, the Hardy-Weinberg principle states that the frequency of alleles in a large randomly reproducing population will remain constant from generation to generation if certain assumptions are met.
The assumptions are:
- No mutations.
- No migration into or out of the population
- No selection, and
- No genetic drift.
Know more about the Hardy-Weinberg principle here:
brainly.com/question/3406634
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