The rate of change of the linear function represented by the table is 3
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The standard linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the y intercept.
From the table, using the point (0, -7) and (2, -1):
m = [-1 - (-7)] / (2 - 0) = 3
The rate of change of the linear function represented by the table is 3
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Answer:
The angle vertical to 64° is also 64°
The angle on the upper right side is 60°
The angle on the lower left side is 45°
Step-by-step explanation:
180 - 64 - 56 = 60°
180 - 64 - 71 = 45°
Answer: Surface area = 392 in²
Step-by-step explanation:
It is divided into different sections as shown in the attached photo to aid explanation.
Looking at the attached photo
Area of A = 6 × 6 = 36 in²
Area of B = 4 × 10 = 40 in²
Area of the face containing A and B = 36 + 40 = 76 in²
Since the face is the same on the opposite end,
Area of the opposite end of AB = 76 in²
Area o C = 6 × 4 = 24 in²
Area of D = 6 × 6 = 36 in²
Area of E = 6 × 6 = 36 in²
Area of F = 6 × 4 = 24 in²
Area of base G = 10 × 6 = 60 in²
Area of back H = 6 × 10 = 60 in²
The surface area is the sum of all the faces of the given solid.
Therefore,
Surface area = 76 + 76 + 24 + 36 + 36 + 24 + 60 + 60 = 392 square inches
Answer: 55.668 grams
General equation of exponential decay/growth:
N = Noe^(kt)
50 = 100e^(710k)
.5 = e^(710k)
ln(.5) = 710k
ln(.5)/710 = k
Therefore, our equation is now:
N = 100e^((ln(.5)/710)t)
Now, we substitute t with 600:
N = 100e^(ln(.5)/710)600
N = 100e^(-.585758)
N = 100(.556684)
N = 55.668 grams
Answer:
5x+10
Step-by-step explanation:
let f(x)=(x-10)/5=y
now write 'x' in term of y
i.e, x-10=5y
i.e, x=5y+10
now replace y with x to get required inverse of f(x)
=5x+10
