Round 45,122 to the nearest ten thousand
Answers
To round to the nearest ten thousand, we look at the last four digits. If these digits are 5000 or greater, then we round the thousands digit up, and if they are less than 5000, then we round down, keeping the ten thousand's digit the same.
The question is asking to Round 45,122 to the nearest ten thousand .
The last 4 digits are 5122.
This is greater than 5000.So we round up .
45,122 to the nearest ten thousand is 50,000.
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Let L1 be the line passing through the points Q1=(−1, 5, 2) and Q2=(−2, 7, 3) and let L2 be the line passing through the point P1=(−8, 4, 9) with direction vector →d=[−6, 3, 6]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.
Answers
Answer: The volume of the sphere is 113.04 in^3
Step-by-step explanation:
For a sphere of radius R, the volume is written as:
V = (4/3)*pi*R^3
where pi = 3.14159265...
We can use pi = 3.14
Here we can see that the radius of the sphere is 3 inches, then the volume of the sphere is:
V = (4/3)*3.14*(3 in)^3 = 113.04 in^3
B. 21.17 ft3
C. 33.09 ft3
D. 27.14 ft3
Answers
The volume of the cylindrical trunk is calculated as approximately: B. 21.17 ft³.
What is the Volume of a Cylinder?
Volume = πr²h
The dimensions of the cylindrical trunk are:
- Height = 13 feet
- Circumference = 4.5 feet
Find radius (r) using the circumference of a circle formula:
4.5 = 2(π)r
4.5/2π = r
r = 0.7 feet
Volume of the cylindrical trunk = π(0.7²)(13) = 20.01 ft³ (close to 21.17 ft³)
The approximate volume of the cylindrical trunk is: B. 21.17 ft³.
Learn more about the volume of a cylinder on:
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r = 4.5 / 2pi = 0.7162
Volume of a cylinder = pi * r^2 * h
= pi * (0.7162)^2 * 13
=20.95
which is approximately close to 21.17ft^3
Answer: 21.17ft^3
Write your answer in the form a + bi.
Answers
The sum of -2 + i and its complex conjugate is:
w = -4 + 0i
How to find the sum?
The complex conjugate of a number z = a + bi is:
z' = a - bi.
Then the complex conjugate of -2 + i is -2 - i.
The sum will give:
w = -2 + i + (-2 - i) = -4 + 0
Writing it in the wanted form we get:
w = -4 + 0i
If you want to learn more about complex numbers, you can read:
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Answer:
- 4
Step-by-step explanation:
The conjugate of - 2 + i is - 2 - i, thus
- 2 + i + (- 2) - i
= - 2 + i - 2 - i ← collect like terms
= - 4 ← in the form a + bi with b = 0
Answers
b. (1, 7)
c. (7, 1)
Answers
Note: (0,5) is just a way to right x=0 and y=5
Try answer A (0,5)
This is not true. 5 is not bigger than 5 so A is not the answer
Try answer B (1,7)
This is true so answer B works!
Might as well try answer C (7,1)
1 is obviously not greater than 12 so C does not work
The answer is B (1,7)
Answers
Answer: X= -15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.