Factor the expression and simplify as much as possible. 24x(x2 1)4(x3 1)5 42x2(x2 1)5(x3 1)4
Answers
Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Step-by-step explanation:
=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4
Remove the brackets first
=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]
=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]
=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)
Then the common:
=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]
=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
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the rate of change is constant
Step-by-step explanation:
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Answer:
A - amplitude
f - frequency
Q - phase
Step-by-step explanation:
A sinusoidal carrier wave can be represented as follows: f(x) = Acos(2pi*f + Q)
So to represent the original information, you can modify the following variables mentioned above. If they looking for just one variable, then use the frequency.
Answers
D
The model involves similar triangles with the ratios of corresponding sides being equal
let x be the length of the tree's shadow, then
=
( cross- multiply )
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Answer:
D
Step-by-step explanation:
i went to K12
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
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Answers
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
Answers
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Step-by-step explanation:
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Answer:
About 4
Step-by-step explanation:
Depends how many slices each pizza is but based on the average 8 slice pizza, 8 slices each pizza 3 pizzas 8*3= 24 slices
24/5= about 4 slices per child with 4 slices left
Answers
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Step-by-step explanation:
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