I believe the answer you are looking for is 4/5.
Solution:
1/2 • 4/3=2/3
2/3÷5/6=2/3 • 6/5
4/5
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.
In exponential models there is a constant multiplicative rate of change.
The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.
We can test that using several pair of points.
The multiplicative rate of change is calcualted in this way:
[f(a) / f(b) ] / (a - b)
Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)
[12.5 / 5] / (2 - 1) = 2.5
[5 / 2] / (1 - 0) = 2.5
[2 / 0.8] / (0 - (-1) ) = 2.5
Then, do doubt, the answer is 2.5
Answer: -10x+7.5
Step-by-step explanation:
First multiply -2.5(4x)= -10x and then -2.5x-3= 7.5 it should be -10x+7.5
The surface area of the triangular prism is 144 cm²
<u>Explanation:</u>
Given:
Base of the triangle = 4
Height of the triangle = 3
Hypotenuse of the triangle = 5
Length of the prism = 11
Surface area of the rectangular prism = ?
Surface area, A = 
On substituting the value, we get:
Therefore, the surface area of the triangular prism is 144 cm²
The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>
The length of rope is given as:
Length = 9.3 feet
The price per rope is given as:
Price per rope = $3.82 per foot
The total amount spent by the carpenter is calculated as:
Total amount = Length * Price per rope
Substitute the known values in the above equation
Total amount = 9.3 feet * $3.82 per foot
Evaluate the product
Total amount = $35.526
Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
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