Answer:
0.6
3/5
Step-by-step explanation:
Answer:
radius: 3 units <----> Circumference: 18.84 units
Diameter: 12 units <----> Circumference: 37.68 units
Diameter: 36 units <----> Circumference: 113.04 units
Radios: 5 unites <----> Circumference: 31.4 units
Step-by-step explanation:
How I got the answers for the radiuses:
3 (this is only half the diameter so if you do 3 x 2 you will get the diameter.)
3 x 2 = 6
C = pi x d
C = 3.14 x 6
C = 18.84 [this is the first radios]
5 (this is only half the diameter so if you do 5 x 2 you will get the diameter.)
5 x 2 = 10
C = pi x d
C = 3.14 x 10
C = 31.4 [this is the second radios]
How I got the diameters:
12 (this is the full diameter so we do not have to multiply it by 2)
C = pi x d
C = 3.14 x 12
C = 37.68 [this is the first Diameter]
36 (this is the full diameter so we do not have to multiply it by 2)
C = pi x d
C = 3.14 x 36
C = 113.04 [this is the second Diameter]
Answer:
The estimated sum is ≈10
Step-by-step explanation:
This depends on how your professor wants you to estimate sums. Logically, though, a value of nearly 4 and a value of just over 6 add to about 10. The exact answer would be a bit over 10, at ≈10.14117
Problem 7
<h3>Answer: Choice A) 7</h3>
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Work Shown:
p(x) = x^4+x^3-kx-x+6
If (x-2) is a factor of p(x), then x = 2 is a root of p(x). This is a special case of the remainder theorem.
This means p(2) = 0
Replace every x with 2 and solve for k
p(x) = x^4+x^3-kx^2-x+6
p(2) = 2^4+2^3-k(2)^2-2+6
p(2) = 16+8-4k-2+6
p(2) = 28-4k
0 = 28-4k .... replace p(2) with 0
4k = 28
k = 28/4
k = 7
The polynomial
p(x) = x^4+x^3-7x^2-x+6
has the factor (x-2)
============================================
Problem 8
<h3>Answer: D) 40</h3>
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Work Shown:
Check out the diagram below to see the synthetic division table. We're after the remainder which is highlighted in yellow.
An alternative is to use direct substitution
p(x) = 2x^4+4x^3-x^2-5
p(-3) = 2(-3)^4+4(-3)^3-(-3)^2-5 ... replace every x with -3
p(-3) = 2(81)+4(-27)-9-5
p(-3) = 162-108-9-5
p(-3) = 40
This helps confirm we got the right remainder and the right answer.
<span>To convert percentages to decimal points, divide the percentage to 100. That is, 65</span>÷100 and 55÷100. The answer would be 0.65 and 0.55. If the question asks for three decimal places, add 0 to the last digit of your decimal to make it three because it will be counted. So 0.65 becomes 0.650 and 0.55 becomes 0.550.
