Find the domain of the function in interval notation: f(x) =1/ x + 22

Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no mor

kirill [66]

Answer:

A.) A person weights 80 kg can consume Haddock fish = 149 grams

B.) A person weights 80 kg can consume Swordfish fish = 8 grams

C.) A person weights 80 kg can consume Tuna fish = 23 grams

D.) A person weights 80 kg can consume Snapper fish = 50 grams

Step-by-step explanation:

Given - Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no more than 0.1 microgram for every kilogram of their weight per day. Fish generally carry high levels of mercury, although certain fish have higher mercury content than others. Fish, however, are healthy sources of many other nutrients, so nutritionists recommend keeping them in the human diet. The figure below shows the average mercury content of several types of fish.

To find - If a person weighs 82 kg, how much of each fish can they safely consume? round to the nearest gram.

A.Haddock

B.Swordfish

C.Tuna

D.Snapper

Proof -

Firstly, determine how many micro grams of mercury a person can consume who weighs 82 kilograms.

⇒82 × 0.1 = 8.2 micro grams.

Now,

a.)

For Haddock fish-

It consumes 0.055 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.055

= 149.09 ≈ 149 grams

So,

A person weights 80 kg can consume Haddock fish = 149 grams

b.)

For Swordfish fish-

It consumes 0.995 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.995

= 8.24 ≈ 8 grams

So,

A person weights 80 kg can consume Swordfish fish = 8 grams

c.)

For Tuna fish-

It consumes 0.350 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.350

= 23.43 ≈ 23 grams

So,

A person weights 80 kg can consume Tuna fish = 23 grams

d.)

For Snapper fish-

It consumes 0.165 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.165

= 49.697 ≈ 50 grams

So,

A person weights 80 kg can consume Snapper fish = 50 grams

6 0

3 years ago

Solve y=f(x) for x . f(x)=23x+4 x= Question 2 Find the input when the output is 2. The input is .

Fantom [35]

Let's find $f(x) = 2$ , which is essentially what the problem is asking, what $x$ corresponds to an output of 2.

Let's solve below:

$f(x) = 2$

Setting up what we know

$23x + 4 = 2$

Substituting in $23x + 4$ for $f(x)$ (I'm not sure if this is the correct expression for $f(x)$ due to formatting issues)

$23x = -2$

Subtract 4 from both sides to make a step to isolate $x$ (what we are trying to find)

$x = - \frac{2}{23}$

Divide both sides of the equation by 23 to isolate $x$

Thus the input is $\boxed{x = - \frac{2}{23}}$ .

4 0

3 years ago

The reacttimes data set has 50 observations of human reaction times to a physical stimulus. The reaction times are named times a

scoundrel [369]

Solution: The formula for mean is:

$Mean=\frac{\sum x}{n}$

Where:

$\sum x$ is the sum of given observations

$n$ is the number of observations

$\sum x=87.12$

$n=50$

$\therefore Mean =\frac{87.12}{50}= 1.74$ rounded to two decimal places

To find the median, we need to first arrange the data in ascending order but we are already given the data in ascending order.

Therefore, the median is:

$Median=\left(\frac{n+1}{2} \right)^{th} item$

$=\left(\frac{51}{2} \right)^{th} item$

$=25.5^{th} item$

$=1.52+0.5(1.54-1.52)$

$=1.52+0.01$

$=1.53$

Therefore, the median = 1.53

4 0

2 years ago

You are buying carpet to cover a room that measures 42 ft by 42 ft. The carpet cost $ 25 per square yard. How much will the carp

antiseptic1488 [7]

Ok so, 42 ft. by 42 ft.

$25 per square yard

1 square yard = 9 square feet

The total square footage is 1,764 ft.

Total square yards is 196.

The total cost would be $4,900.

3 0

2 years ago

I NEED HELP PLEASE IM BEGGING YOU PLEASE HELP!!<br> IM B EGGING YOU PLEASE!!

Monica [59]

Answer:

are there any answer choices?

3 0

3 years ago

Find the domain of the function in interval notation: f(x) =1/ x + 22​

Find the domain of the function in interval notation: f(x) =1/ x + 22