Answer:
Exact Form:
31/24
Decimal Form:
1.291¯6
Mixed Number Form:
1 7/24
Step-by-step explanation:
Answer:
y=mx+b
3=slope
1=y coordinate
-8=x coordinate
b=y intercept
Substitute m for 3
y=3x+b
Next, substitute the coordinate values
1=3(-8)+b
Solve
1=-24+b
+24 +24
25=b
Now substitute b and m for their respective values
y=3x+25
Step-by-step explanation:
The amount of the radioactive substance is 374.6 g
<h3>How to determine the amount of
radioactive substance?</h3>
The given parameters are:
- Initial, a = 424 mg
- Rate, r = 6%
- Time, t = 2 hours
The amount of the radioactive substance is calculated as:
A(t) = a(1 - r)^t
This gives
A(t) = 424 * (1 - 6%)^t
At 2 hours, we have:
A(2) = 424 * (1 - 6%)^2
Evaluate
A(2) = 374.6
Hence, the amount of the radioactive substance is 374.6 g
Read more about exponential functions at:
brainly.com/question/2456547
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Answer:
36 cubic yards
Step-by-step explanation:
If each cube is 1 cubic yard by 1 cubic yard, then there are 3 cubic yards for the width, 3 cubic yards for height, and 4 cubic yards for length. Finding the volume of a rectangular prism is L*W*H, 3*3*4 = 36. So, 36 cubic yards is your answer.
Answer:
The value of the slope is 6
Step-by-step explanation:
To get the slope of the line, we are going to make use of the slope equation
Mathematically, we have this as;
m = (y2-y1)/(x2-x1)
where (x1,y1) = (1,2) and (x2,y2) = (2,8)
Substituting these values;
m = (8-2)/(2-1) = 6/1 = 6
