Answer:
The initial value of the function is <u>2</u>
The base of the function is <u>3</u>
The function shows exponential <u>growth</u>
Step-by-step explanation:
f(x) = 2(3^x)
Exponential functions are those with the following equation:
y = a*b^x
where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.
<em>a</em> is the y-intercept and <em>b </em>is the base.
The initial value of the function is the same as the y-intercept
If <em>a</em> is positive, the function growth. If <em>a</em> is negative, the function decay
Answer:
See below in bold.
Step-by-step explanation:
(1) cosec ( x + 10) = 3
Now cosec x = 1/sin x so
1 / sin (x + 10) = 3
3 sin (x + 10) = 1
sin (x + 10) = 1/3
x + 10 = 19.47 , 160.53 degrees
x = 9.47, 150.53 degrees.
(ii) cot (x - 30) =0.45
cot (x - 30)= 1 /tan (x- 30) so we have
tan (x - 30) = 1 / 0.45 = 2.2222
x - 30 = 65.77 degrees
x = 95.77 degrees.
The total pounds of shrimp they catch is 9.625 pounds
<h3>Sum of values and decimals</h3>
Decimal number are numbers that has decimal points. Given the following information;
The total shrimp Spencer catch = 2 pounds
The total shrimp Jaclyn catch = 3.25 pounds
The total shrimp Ayden catch = 4.375 pounds
Determine the total pounds of shrimp they catch
Total shrimp = 2 + 3.25 + 4.375
Total shrimp = 9.625 pounds
Hence the total pounds of shrimp they catch is 9.625 pounds
Learn more on sum of decimals here; brainly.com/question/1827193
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Answer:
<u>The correct answer is the letter C. </u>
Step-by-step explanation:
We can use the following trigonometric identity:
(1)
(2)
Solving each equation by b and equaling we have:
Let's recall that:
Then we have:
Using equation (1) we can find b.
Finally, we can find a using the next equation:
<u>Therefore, the correct answer is the letter C. </u>
I hope it helps you!