Answer:
Step-by-step explanation:
The fill-in for the first box is found by counting spaces between 0 and 2/5. There are 6 of them.
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Since 6 spaces = 2/5, the value of 1 space is 1/6 of 2/5. We must multiply 2/5 by 1/6 to find the value of 1 space:
1 space = (2/5)(1/6) = 2/30 = 1/15
This is the number that goes in the second box.
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To find the value of x, count all the spaces. There are 13, so the value of x is 13 times the value of 1 space:
x = 13(1/15) = 13/15
This is the number that goes in the last box.
The function of exponential growth or decay is given as y= a(1 ± r)ˣ. y represents a function of exponential decay with 45%. The correct option is D.
<h3>What is exponential growth or decay function?</h3>
Consider the function:
y= a(1 ± r)ˣ
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
- If there is plus sign, then there is exponential growth happening by r fraction or 100r %.
- If there is negative sign, then there is exponential decay happening by r fraction or 100r %.
If we compare the given function with the exponential function, then it can be observed that the value of (1±r) is less than 1, therefore, the function will be of exponential decay.
Now, if the (1-r) is compared with 0.55 given in the function than the value of r will be,
1 - r = 0.55
-r = 0.55 - 1
-r = -0.45
r = 0.45
r = 45%
Hence, y represents a function of exponential decay with 45%.
Learn more about exponential growth and decay here:
brainly.com/question/2193820
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Answer:
3
Step-by-step explanation:
The largest exponent is 3. That is the degree of this polynomial.
The degree is 3.
Answer:
Step-by-step explanation:
Given that,
The radius of a cylinder, r = 5 cm
Height of the cylinder, h = 5 cm
We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of the cylinder is given by :
Put all the values,
So, the lateral surface area of the cylinder is 
.
Answer:
88.90 cm
Step-by-step explanation:
