Answer:
A = 1
B = 2
C = below
Step-by-step explanation:
Zero is included in the second interval, therefore, A = 1 is a correct choice (A must be also less than 2 ).
B must be positive, so that, f(0) is above the x-axis, therefore, B = 2 is a correct choice.
f(1.5) is negative, this means that the function is <u>below</u> the x-axis, then, C = below.
Answer:
It's A.
Step-by-step explanation:
2^3 •2^7 = 1024
2^10 = 1024
First from the information we have, we see that the volume of the cube is 27cm3. So what are the dimensions of its length, width and height? This information will help us to determine the dimensions of the square pyramid.
Volume of a cube is found from the formula V = a3
Where V is volume, and a is the length of one side.
We expand this equation to be:
V= a * a * a
Since all sides of a cube are equal, then this equation will be:
27 = 3 * 3 * 3
Now we know the length width and height of the cube.
Volume of a square pyramid is given by the formula V =1/3ah
Where V is the volume, a is the area of the base of the pyramid, h is the height of the pyramid.
Since it fits perfectly into the cube, then its dimensions are the same as the cube, so:
Area of the base is Length * Width so:
a = 3 * 3 = 9
and height:
h = 3
Now therefore:
V = 1/3 * 9 * 3
V = 1/3 * 27
V = 27/3
V = 9 cm3
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Answer:
a. 5% of the employees will experience lost-time accidents in both years
b. 24% of the employees will suffer at least one lost-time accident over the two-year period
Step-by-step explanation:
a. What percentage of the employees will experience lost-time accidents in both years?
20% last year, of those who suffered last year, 25% during this year. So
5% of the employees will experience lost-time accidents in both years.
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
5% during the two years.
10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.
First year yes, not on the second.
75% of 20%. So, total:
24% of the employees will suffer at least one lost-time accident over the two-year period
For the addition problem 1/4 would turn into 2/8 and the 3/8 would stay the same therefore it would be 2/8 + 3/8 =5/8. Then for the subtraction problem 1/4 would turn into 2/8 and 3/8 would stay the same therefore it would be 2/8 - 3/8 =1/8