Step-by-step explanation:
<u>Step 1: List out all of the formulas for the trigonometric functions
</u>
<em>sin(x) </em>= opposite/hypotenuse
<em>cos(x) </em>= adjacent/hypotenuse
<em>tan(x) </em>= opposite/adjacent
<u>Step 2: Find the following expression that has a value of 2/5
</u>
sin(B) = opposite/hypotenuse = ?/5 is FALSE
cos(B) = adjacent/hypotenuse = 2/5 is TRUE
tan(B) = opposite/adjacent = ?/2 is FALSE
Answer: The correction expression that has a value of 2/5 is option B
<h3>Answer: Approximately 191 bees</h3>
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Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
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As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
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At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.
The answers would be 11, if you plug it in it would be 5(11)-7=48
Answer:
A) 2 miles, 5 miles, 8 miles
Step-by-step explanation:
Let's get some details cleared.
We're interested in finding how many miles he walked at the end of each hour in a period of 3 hours.
We know what is, so we can use that as our starting point.
Your answer is A.
Answer:
3:5
Step-by-step explanation:
16 ounces = 1 pound
80 ounces =5 pounds
Simplify:
48:80
6:10
3:5
Hope this helped! :)
