Answer:
The answer is 42 have a great day.
Step-by-step explanation:
Please mark brainiest.
Answer:
<em>M(13)=14.3 gram</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:

Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:


Operating:

After t=13 minutes the remaining mass is:

Calculating:
M(13)=14.3 gram
A. No, because if you add 76.5 and 4.32, you'll get 80.82 instead of 72.18.
B. Yes, because if you add 72.18 and 4.32 you'll get 76.5
C. No, because if you substract 4.32 from 72.18, you'll get 67.86 instead of 76.5.
D. No, because if you add 76.5 and 72.18, you'll get 144.65 instead of 4.32.
Correct answer: B
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Answer:
y = x - 3
Step-by-step explanation:
First, you need to find the slope from the two given points.
y2 - y1 / x2 - x1
= 3 - (-1) / 6 - 2
= 1
The slope is 1x or simply x.
For the y-intercept, you need to plug one of the coordinates into the equation, which is y = x + b
3 = 6 + b
-3 = b
So the equation is y = x - 3