Answer:
Stepbystep explanation:
The the center of the sphere is given as (a,b,c) and the radius is r, then the equation of the sphere would be:
From the info, we can say:
a = 4
b = 3
c = 5
r =
Plugging into formula we get the equation:
Remember to use
The best sentence that describes the interval [2, 1] implies that the function is increasing on the interval [2, 1].
A cubic polynomial function is a polynomial function whose power is at 3°. It has a general formula f(x) = ax³ + bx² + cx + d.
where;
If the data given in the table is represented on the graph, we can see that the data value proceeds in increasing order from negative to positive, as such:
The best sentence that describes the interval [2, 1] implies that the function is increasing on the interval [2, 1].
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Answer:
The function is increasing on the interval [2,1]
Stepbystep explanation:
sales after the first $5000. To determine the
amount of sales he earns commission on, he
uses the function f(x) = x  5000. Then he uses
a different equation to determine how much
commission he actually earns, g(x) = 0.05x. He
wants to create a composite that includes
both. What is the composite function?

=
Answer: 1000000
Stepbystep explanation:
5x100
Answer:
y = 3x + 6
Stepbystep explanation:
Equation of straight line is given by,
y = mx + b
m = slope of the line
b = yintercept
From the graph attached,
m =
=
= 3
y intercept 'b' = 6
Therefore, equation of the line will be,
y = 3x + 6
a) The histograms suggest that the distributions of adoptions in each region are skewed to the right.
b) The histograms look similar because they both show similar patterns of adoption distribution among different regions.
c) A better way to express the number of adoptions might be to use adoption rates or percentages relative to the population size in each region.
a) The histograms show the distribution of adoptions in each region. The horizontal axis represents the number of adoptions, and the vertical axis represents the frequency (or count) of regions with a specific number of adoptions. Each bar in the histogram represents a specific number of adoptions and its height indicates how many regions have that number of adoptions.
b) The histograms look similar because they both show the distribution of adoptions in different regions. They have a similar shape, with the majority of regions having a lower number of adoptions, and a few regions having a higher number of adoptions. This similarity suggests that the adoption patterns in different regions follow a similar trend.
c) A better way to express the number of adoptions might be to use percentages or rates. Since the population of each region is different, the raw number of adoptions alone might not provide a fair comparison. By calculating the adoption rate (number of adoptions per 1000 people, for example) or expressing the number of adoptions as a percentage of the total population in each region, we can get a clearer picture of the adoption trends relative to the population size in each region.
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The histograms indicate that higher population regions tend to have more adoptions. They are similar as adoption rates and population sizes are interlinked. A better representation might be the adoption rate per population quota, which shows comparison between regions clearer.
a) The histograms show the "distribution of adoptions" and the "population of each region." We can infer that the distribution of adoptions largely mirrors the population distribution, meaning that regions with larger populations tend to have more adoptions.
b) The histograms look similar because adoption rates and population size are related. If a region has a larger population, it likely has more families, hence more potential for adoption.
c) A better way to express the number of adoptions might be to calculate the adoption rate per population. For example, the number of adoptions per 1,000 or 10,000 population members. This way, it directly relates the number of adoptions to the size of the population, and provides a percentage or ratio rather than absolute numbers. This method can be more helpful in making comparisons between regions.
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