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mestny [16]
3 years ago
6

A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. the function f(

x) = 100/x -5 represents the remaining time in minutes needed to fill the tank. how is the graph of the parent function f(x) =1/x transformed to create the graph of f(x) = 100/x -5

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

Shifted 5 unit right side then stretched vertically by the factor 100

Step-by-step explanation:

Here, parent function,

f(x)=\frac{1}{x}

Transformed function,

f(x) = \frac{100}{x-5}

Since, if a function f(x) gives cf(x), where c is any number,

Then the function was vertically stretched by factor c,

While, the function gives f(x-c),

Then the function was shifted c unit right.

Hence, the graph of f(x)=\frac{1}{x} was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of f(x)=\frac{100}{x-5}

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Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
The graph of a line has a slope of 2 and passes through the point (–6, –5). What is the equation of the line in point-slope form
Stolb23 [73]

Answer:

it would be

B. y + 5 = 2(x + 6)

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Step-by-step explanation:

7 0
3 years ago
Pls answer I will mark brainliest
Lina20 [59]

Answer:

268.08

Step-by-step explanation:

first you take your radius and put it in the equation V=4/3πr³ when you insert the 4 you calculate it to get 268.08257

3 0
2 years ago
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X>8
Sarah has more than eight goldfish in her tank
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Which expression is equivalent to 20+8y_9y_21​
viktelen [127]

Answer: 4(5+2y)-3(3y+7)

Step-by-step explanation:

Use the distributive property for this ^^^

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3 years ago
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