Answer:
Step-by-step explanation:
5) 6 : 18 =
6)
7)
To reduce to simplest form, find Greatest Common Factor of the two numbers and divide both numbers by the GCF
21 = 3 * 7
9 = 3 * 3
GCF = 3
Answer:
Step-by-step explanation:
5) 6:18 = 1:3
6) 10:12 = 5:6
7) 12:28 = 6:14 = 3:7
8) 18:24 = 6:8 = 3:4
9) 16:20 = 8:10 = 4:5
10) 15:9 = 5:3
11) 5:30 = 1:6
12) 14:10 = 7:5
13) 6:16 = 3:8
14) 20:35 = 4:7
Hope this helps
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Answer: Just follow the chart
Step-by-step explanation:
Answer:
x = 90 degrees and y = 43 degrees
Step-by-step explanation:
We have an isosceles triangle here, since the length of AB equals the length of AC.
That also means that angle ABC equals angle ACD = 47 degrees.
The sum of the interior angles of a triangle equals 180.
47 + 47 + 2y = 180
94 + 2y = 180
2y = 86
y = 43 degrees
x + 43 + 47 = 180
x + 90 = 180
x = 90
Answer:
-8x² + 28x - 20
Step-by-step explanation:
To simplify the expression A(x) = ( 2x - 5 )( x + 1 ) - ( 5x - 3 )( 2x - 5 ), you can start by using the distributive propertyto expand both sets of parentheses and then combine like terms:
A ( x ) = ( 2x - 5 ) ( x + 1 ) - ( 5x - 3 ) ( 2x - 5 )
( 2x - 5 ) ( x + 1 )
2x ( x ) + 2x ( 1 ) - 5 ( x ) - 5 ( 1 )
2x² + 2x - 5x - 5
( 5x - 3 ) ( 2x - 5 )
5x ( 2x ) + 5x ( -5 ) - 3 ( 2x ) - 3 ( -5 )
10x² - 25x - 6x + 15
2x² + 2x - 5x - 5 - ( 10x² - 25x - 6x + 15)
2x² + 2x - 5x - 5 - 10x² + 25x + 6x - 15
( 2x² - 10x² ) + ( 2x - 5x + 25x + 6x ) + ( -5 - 15 )
-8x² + 28x - 20
∴ A ( x ) = -8x² + 28x - 20
Answer:
C. Within a few years the population increases dramatically
True. As we can see on the function if we increase the time by 10 units for example the final amount is increasing by a factor of and that represent a dramatically increase.
Step-by-step explanation:
When we have a exponential growth model the general formula is given by:
Since says "growth" the rate of increase r>0, represent the initial amount and A the amount after the time t.
Assuming the possible options for the answer. We analyze one by one
A. Each individual plant grows much larger than usual
False, for this model we assume that all the individuals in the population modeled have similar characteristics, because if the individuals are different we can't use a deterministic model like this one.
B. The population immediately decreases
False. We are assuming that the model is for a growth rate so then is not possible to have a decrease.
C. Within a few years the population increases dramatically
True. As we can see on the function if we increase the time by 10 units for example the final amount is increasing by a factor of and that represent a dramatically increase.
D. The specie's reproductive potential declines
False, we are considering a growth model in which it makes no sense to consider that the potential, population or quantity measured decrease.