The air popper will make 14 cups of popcorn in 21/2 minutes. The oil popper will make 16 cups of popcorn in 3 1/2 minutes. Is there a proportional relationship here?
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Sabrina is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Sabrina's inputs and the corresponding outputs displayed by the calculator: (1,6), (2,11), (3,16), (4,21)Which of the following functions best represents the rule that the calculator used to display the outputs? A) f(n)= 5n-1B) f(n)= 5n+1C) f(n)= 4n+3D) f(n)= 4n-3
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A few examples are
2 and 288
1 and 576
3 and 192
4 and 144
6 and 96
8 and 72
9 and 64
And so on... All it is is just factors
B. a^3
C. -a/a^2
D.a^4/a^3
2. Simplify: r^2s^4t/r^2st^3
A. s^3/t^2
B. s^3/t
C. s^2t^3
D. s/t
3. Simplify: 3x^6/18x
A. 1/6
B. x^4/6
C. x^5/6
D. x^6/6
4. Identify the property demonstrated 4^3x4^7 = 4^3+7
A. Quotient of Powers Property
B. Power of a Power Property
C.Power of a Product Property
D.Product of Powers Property
5. Identify the property demonstrated: (a^7)^3 = a^7 x 3
A. Power of a Product Property
B. Quotient of Powers Property
C. Product of Powers Property
D. Power of a Power Property
Thank you so much whoever helps!!!
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=a^[7-4]
=a³
2) r²s⁴t/r²st³
=s⁴-¹.t¹-³
=s³.t-²
=s³/t²
3)3x^6/18x
=x^5/6
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We know that the angles of the triangles add up to 180°
So do this ratio:
4a : 5a : 6a = 180°
4a + 5a + 6a = 180
15a = 180
Divide by 15:
15 and 15 cancels out
a = 12
Plug in a:
4a : 5a : 6a
4(12) : 5(12) : 6(12)
48 : 60 : 72
These are the measure of the angles.
48°
60°
72°
check:
48 + 60 + 72 = 180
180 = 180
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Let's simplify everything.
-5n-8-56n=8
Put the variables on one side and the numbers on the other.
-5n-56n=8+8
Combine like terms.
-61n=16
n=-16/61
Hope I helped! :)
-5n - 8 - 56n = 8
-61n = 8 + 8
-61n = 16
n = - 16/61
The answer is: n = -16/61 or n = -0.2623.
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Answer:
A conjecture is an “educated guess” that is based on examples in a pattern. ... However, no number of examples can actually prove a conjecture. It is always possible that the next example would show that the conjecture is false. A counterexample is an example that disproves a conjecture.