The combined volume of the two shapes is 3510 cubic inches.
To find the volume of each shape, use the formula: V = LWH.
The small shape is: 16 x 15 x 6 = 1350
The large shape is: 24 x 15 x 6 = 2160
(x-4)/10=7/5
x-4=70/5
x-4=14
x=18
here you go, practice it once or twice. good luck
The expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
<h3>How to determine the expression of b(x)?</h3>
The given parameters are:
Initial value, a = 33741
Rate, r = 2.8%
The cost of tuition each year since 2015 is represented as
B(x) = a * (1 + r)^x
This gives
B(x) = 33741 * (1 + 2.8%)^x
Evaluate
b(x) = 33741 * (1.028)^x
Hence, the expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
Read more about exponential functions at:
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<u>Complete question</u>
A study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the University in 2015 was $33,741 the function b(x) , models the estimated tuition cost , where x is the number of years since 2015.
Find the expression that completes the function b(x)
6/18= 1/3 a simplest fraction
Answer:
f-1(x)=x-1/2
Step-by-step explanation:
Switch x and y and solve for y
x=y+1/2
y=x-1/2