Answer:
V = 3646.5 miles^3
Step-by-step explanation:
The circumference formula applies here. C = 2pi*r, and so r = C / [2pi].
Thus, r = 60 miles / 6.28 = 9.55 miles.
The volume formula is next. V = (4/3)pi*r^3.
With r = 9.55 miles, this comes to V = (4/3)(3.14)(9.55)^3 miles^3, or
V = 3646.5 miles^3
Answer:
<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Eastbound train speed = x
Westbound train speed = x + 3 miles per hour (The speed of the westbound train is 3mph greater than the speed of the eastbound train)
Duration of trip = 3 hours
Distance between trains after 3 hours = 468 miles
2. Let's find the speed of each train, using the following equation:
3x + 3(x + 3) = 468
3x + 3x + 9 = 468
6x + 9 = 468
6x = 468 - 9 (Subtracting 9 at both sides)
6x = 459
x = 459/6 (Dividing by 6 at both sides)
x = 76.5 miles per hour
<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>
3. Proof that x = 76.5 is correct
3x + 3(x + 3) = 468
3 (76.5) + 3 (76.5 + 3) = 468
229.5 + 238.5 = 468
<u>468 = 468</u>
<u>The value of x = 76. 5 is correct. And now we know that the Eastbound train has traveled 229.5 miles since the departure from Cleveland and the Westbound train 238.5 miles.</u>
Answer:
i got 70
Step-by-step explanation:
Brain 4 Brain gets 42 more sweets Sara
Pip 5 How many sweets does Pip get?
Sara 1
when b = s + 42 find p b = 4s p = 5s
4s = s + 42 b/4 = s p = 5b/4
3s = 42
s = 14 b = 56 p = 70
I initially found the answer by trail and error, then I could figure out the equation.
s b p
1 4 5
10 40 50
16 64 90
14 56 70
Please see the <em>blue</em> curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.
<h3>How to graph a transformed function</h3>
Herein we have an <em>original</em> function f(x). The <em>transformed</em> function g(x) is the result of <em>compressing</em> f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a <em>Cartesian</em> plane with the help of a <em>graphing</em> tool.
The result is attached below. Please notice that the <em>original</em> function f(x) is represented by the red curve, while the <em>transformed</em> function g(x) is represented by the blue curve.
To learn more on functions: brainly.com/question/12431044
#SPJ1
Answer:
0
Step-by-step explanation:
-4|2-3|+2|-3+1|
-4|-1|+2|-2|
-4(1)+2(2)
-4+4
0
