What is the answer to letter b
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What is the common ratio of the following sequence?80, 20, 5,
Two lines, C and D, are represented by the equations given below:Line C: y = x + 12 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? (4, 14), because one of the lines passes through this point (4, 14), because the point lies between the two axes (5, 17), because both lines pass through this point (5, 17), because the point does not lie on any axis
What is the solution to 3x-y=4 and 2y+x=11
Write an equation of the line below.
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Answer:the number of stamps that his cousin collected is 20. The variable is x which represents number of stamps. The equation is
4x = 60
Step-by-step explanation:
Let x represent the number of stamps that his cousin collected.
Xander collected four times as many stamps as his cousin. This means that the number of stamps that Xander collected is 4x
If xander collected 60 stamps, then it means that
4x = 60
x = 60/4 = 20 stamps
B: (x' , y') = (1/2x, 1/2y) <-- Fractions
C: (x' , y') = (4x,4y)
D: (x' , y') = (2x,2y)
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The expression representing two times the size of the original polygon is (x' , y') = (2x,2y), hence, option (D) is the correct answer.
What is dilation?
A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape.
The size of the polygon will be doubled if its coordinates are multiplied by 2.
The expression representing the two times the size of the original polygon is (x' , y') = (2x,2y)
Hence, option (D) is the correct answer.
Learn more about the dilation:
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A top fuel dragster can use a s much as 6 gallons in 4seconds to travelmile. At this rate, how many gallonsof fuel will it take for the dragster to go 1mile?
6 gallons in 4 1/2 seconds to travel 1/4 mile
Multiply through by 4
The dragster will :
use 24 gallons in 18 seconds to travel 1 mile.
Hope this helps.
Find 12 1/2% of 96 men
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percent of 96 men is 12 men.
What is percentage?
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, % of 96 men.
Here, % =12.5%
Now, 12.5% of 96
12.5/100 ×96
= 0.125×96
= 12 men
Therefore, percent of 96 men is 12 men.
To learn more about the percentage visit:
brainly.com/question/24159063.
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25/2% of 96 men
25/2*100 *96
on solving we get 12 men (ans)
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Answer:
a) f(16) = 42
b) f(16) = 54
c) f(16) = 162
d) f(16) = 30
Step-by-step explanation:
a) y = mx + b ∧ m = (f(8) - f(4))/(8-4) ⇒ m = (18 - 6)/(8 - 4) = 3
b = y - mx = 6 - 3(4) = 6 - 12 = - 6
f(16) = 3(16) - 6 = 42
b) y = kxⁿ ∧ f(4) = 6 = k4ⁿ ∧ f(8) = 18 = k8ⁿ ⇒ 18/6 = (k8ⁿ)/(k4ⁿ) ⇒ 3 = 2ⁿ
n = ㏑(3) / ㏑(2) ⇒ k = y/xⁿ ⇒ k = 6/4ⁿ = 2/3
f(16) = 2/3 × 16ⁿ = 54
c) y = aeᵇˣ ∧ f(4) = 6 = aeᵇ⁴ ∧ f(8) = 18 = aeᵇ⁸ ⇒ 18/6 = (aeᵇ⁸)/(aeᵇ⁴) ⇒ 3 = e⁴ᵇ
b = ㏑(3/4) ∧ a = y / eᵇˣ ⇒ a = 6 / e⁴ᵇ = 2
f(16) = 2eᵇ¹⁶ = 162
d) y = a㏑(bx) ∧ f(4) = 6 = a㏑(b4) ∧ f(8) = 18 = a㏑(b8)
⇒ 18 - 6 = a㏑(b8) - a㏑(b4) ⇒ 12 = a㏑(8b/4b) ⇒ a = 12 / ㏑(2)
f(4) = 6 = a㏑(4b) ⇒ b = (√2)/4
f(16) = a㏑(b16) = 30