Answer:
0.9 yd³
Step-by-step explanation:
Information given:
Length = 18 ft
Width = 1.5 ft
Height = 1 ft
What to find/do:
First, convert the measurement from feet to yards. (3 ft = 1 yard)
Length = 18 ft = 6 yd
Width = 1.5 ft = 0.5 yd
Height = 1 ft = 0.3 yd
Next, find the volume of the shape given. The volume would give us the amount of concrete to use in yards.
Formula for volume = L*W*H
Plug in the values into the formula
V = 6*0.5*0.3 = 0.9 yd³
0.9 cubic yard of concrete must be ordered to pour on the given section.
Area of the volume
All of the telephones * all of the telephones minus one (because one is in use)
85 * 84 = 7140 connections
Answers:
- a = 475
- r = -0.5
- f(3) = 59.4
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Explanation:
Any exponential function is of the form y = a*b^x
Comparing that to y = 475*(0.5)^x, we see that a = 475 and b = 0.5
Set b equal to 1+r and solve for r
1+r = 0.5
r = 0.5-1
r = -0.5
The negative r value tells us that the growth rate is -50%, in other words, we have a 50% decay rate. The amount drops by 50% each time x goes up by 1. This is the same as saying the amount cuts in half each time x goes up by 1.
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Lastly, plug in x = 3 to find f(3)
f(x) = 475(0.5)^x
f(3) = 475(0.5)^3
f(3) = 59.375
f(3) = 59.4
Let's represent how far Eli travels as x.
Sara travels twice as far as that, so 2x.
Ashley travels as far as Eli and Sara combined. x + 2x = 3x.
Hazel travels 3× as far as Sara, and 3×2x = 6x.
All of these add up to 888.
x + 2x + 3x + 6x = 888
Let's add up these like terms.
12x = 888
We can then divide each side by 12...
x = 74
Therefore, Eli traveled 74 miles!
We can use this value to figure out everyone else's distances as well.
Sara = 2 × 74 = 148
Ashley = 3 × 74 = 222
Hazel = 6 × 74 = 444
