Answer:
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
In this question, we want to evaluate the expression "9z-4" for z=3.
This means, we want to calculate the result when we substitute the z in this expression for 3.
So we have: 9(3)-4, which is equal to 23.
Let me know if this helps!
Answer:
x ≈ 4.8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle measure = 58°
Adjacent side of angle = <em>x</em>
Hypotenuse = 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [cosine]: cos58° = x/9
- Isolate <em>x</em>: 9cos58° = x
- Evaluate: 4.76927 = x
- Rewrite: x = 4.76927
- Round: x ≈ 4.8
<em>Answer:</em>
<em>There would be 173,535 lionfish after 6 years.</em>
<em>Step-by-step explanation:</em>
<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>
<em></em>
<em>A)</em>
<em>8000 x 1.67 ^ n = f </em>
<em>B)</em>
<em>8000 x 1.67 ^ 6 = X</em>
<em>8000 x 21.691961596369 = X</em>
<em>173,535.692770952 = X </em>
<em>C)</em>
<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>
<em>Therefore, there would be 173,535 lionfish after 6 years.</em>
Answer:
Rabbit is faster than bear.
Step-by-step explanation:
Speed of rabbit or bear is determined by their rate of change of their distances with time.
The distance covered by rabbit in 
hours is given as:
The above equation is of the form 
, where, 
is the rate of change of 
with .
Therefore, the rate of change of rabbit's distance with time is 30 mi/h.
Now, from the graph, the slope is given as the rise over run.
Rise is 50 miles and run is 2 miles.
So, rate of change of bear's distance with time is, 
Now, 30 is greater than 25. So, rabbit is faster than bear.
