Answer:
A.) 20h + 8
Step-by-step explanation:
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
Well, just solve the equation
-70 =
-70 =
-70 - 2 = 36a
a = -72/36 = -2
The expected activity time for the given statement is = 5.33
<h3>What time is the PERT network expected to be active?</h3>
The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.
<h3>The PERT system:</h3>
A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.
<h3>According to the given information:</h3>
optimistic = 2
most likely = 5
pessimistic = 10.
We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:
Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6
Putting the values into formula:
= (2 + (4 x 5) + 10)/ 6
= (2 + 20 + 10) / 6
= 5.33
To know more about PERT network visit:
brainly.com/question/17464130
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Answer:
The area of the figure is C. 146 cm²
Step-by-step explanation:
The figure contains trapezium and a triangle.
Area of the figure = Area of trapezium + Area of triangle
So, the area of the trapezium is given by
Area =
1/2 x (a + b) x h
1/2 x (14 + 4) x 10
1/2 x 18 x 10
= 90 cm²
Height of triangle is given by
18 - 10 = 8cm
The area of the triangle would be
1/2 x base x height
1/2 x 14 x 8
= 56 cm²
The total area of the figure is given by
90 + 56 = 146 cm²
So, C is correct.
