We can use ratios, in other words, if one part of the photo is changed x times, how many times does the other part change?
We can set up the proportion as :
width 1 : length 1 = width 2 : length 2
20 : 30 = 5 : x
We do inverse multiplication, or multiply the outer with outer and inner with inner (W1 * L2 and L1 * W2)
20*x = 30*5
20x = 150
Divide all by 10
2x = 15
Divide all by 2 to isolate x
x = 15/2
x = 7.5cm
Answer:
Percentage rise in patients from 2004 to 2014 = 7.59%
Explanation:
The number of patients in 2004 = 39080
The number of patients in 2014 = 42045
Increase in the number of patients = (The number of patients in 2014) - (The number of patients in 2004)
Rise in the number of patients = 42045 - 39080
Rise in the number of patients = 2965
Percentage rise in patients from 2004 to 2014 = 7.59%
Please use " ^ " to indicate exponentiation. Then: <span>f(x) = (x – 3)^2 – 1.
By comparing this equation to y-k = (x-h)^2
you can see that h=3 and k= -1. Thus, the vertex is at (3, -1).
The axis of symm. goes thru the vertex, so is x = 3.
The domain is the set of all real numbers.
Since the vertex is (3, -1), the smallest value y can take on is -1. Thus, the range is [-1, infinity)
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Answer: 6
Step-by-step explanation:
From the question, we are informed that a group of friends wants to go to the amusement park and that they have $94.25 to spend on parking and admission.
We are further told that Parking is $14.75, and tickets cost $13.25 per person, including tax. The equation that can be used to solve the number of people who can go to the amusement park would be:
= 14.75 + 13.25p
Since they've $94.25 to spend, the number of people that can go to the amusement park will be:
14.75 + 13.25p = 94.25
13.25p = 94.25 - 14.75
13.25p = 79.50
p = 79.50 / 13.25
p = 6
6 people can go to the amusement park
