Answer: D
Step-by-step explanation:
5x2 + 500 = 844.45, solving for x.
Subtract 500 from both sides: 5x2 = 344.45
Simplify (5*2): 10x = 344.45
Divide 10 from both sides: x = 34.45 (rounded)
Answer:
A total of 387 centimeters of ribbon are used.
Step-by-step explanation:
We already know that two out of three pieces of ribbon are 1.25 meters.
The third piece of ribbon is 120 millimeters (mm) longer.
1 millimeters = 0.001 meters
120 x 0.001 = 0.12
That means that the third piece of ribbon is 0.12 meters longer than the first two. The length of the third ribbon is 1.25 m + 0.12 m = 1.37 m
In order to find the total number of meters of ribbon used, we need to do addition.
1.25 m + 1.25 m + 1.37 m = 3.87 m
But, the question is asking us the number of centimeters of ribbon that are used.
1 m = 100 cm
3.87 x 100 = 387 cm
Therefore, a total of 387 centimeters of ribbon are used.
Hope this helps! Have a blessed day! :)
Answer:
The percentage rate of decay per year is of 3.25%.
The function showing the mass of the sample remaining after t is 
Step-by-step explanation:
Equation for decay of substance:
The equation that models the amount of a decaying substance after t years is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Every 21 years, its mass decreases by half.
This means that 
. We use this to find r, the percentage rate of decay per year.
![\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B21%5D%7B%281-r%29%5E%7B21%7D%7D%20%3D%20%5Csqrt%5B21%5D%7B0.5%7D)
The percentage rate of decay per year is of 3.25%.
Given that the initial mass of a sample of Element X is 80 grams.
This means that 
The equation is:
The function showing the mass of the sample remaining after t is
Answer:
6. slope= -4/5 Y-intercept is 3
7.
a.y=-2x
b.y=1x+1
c.5/2x-1
d.y=4x+3
e.y=-3/2x-5
Step-by-step explanation:
