Answer:
80 lbs of Peanuts
Step-by-step explanation:
4 lbs per minute and we are looking for 30 mins.
1) 1.5x2=3 minutes
2) 30/10= 3 minutes
3) 4lbsx2 cycles of the machine= 8lbs in 3 minutes
4) we can take those 8 lbs and times them by 10 since we know 3 minutes is 1/10th of a 30 minute cycle.
5) 8x10=80
80 blocks. 16 block fit at the base of the box and then you multiply 16 by the product of 7.5/1.5. 16 times 5 is 80
The answer is C. Square root of 29
These two triangles are congruent so we just have to figure out the length of two sides then use the Pythagorean theorem to solve for the last side
Pythagorean theorem:
a^2 + b^2 = c^2
We know one of the legs is 5 so:
5^2 + b^2 = c^2
25 + b^2 = c^2
The base of the triangle is 4 but since the line in the middle is a perpendicular bisector to the base, both sides of the line are equal to 2
So now we know the value of the other leg:
25 + 2^2 = c^2
25 + 4 = c^2
29 = c^2
Now you take the square root of both sides
Square root of 29 = c
~~hope this helps~~
The value that is 2 standard deviations from the mean is; 130
<h3>What is Empirical Rule?</h3>
For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).
Thus;
Calculated value = μ + zσ
where;
μ is mean
σ is standard deviation
Hence, the value that would be +2 standard deviations from the mean is;
Calculated value = 100 + 2(15)
Calculated value = 130
Read more about Empirical Rule at; brainly.com/question/10093236
-3(x-4) > 6(x-1)
-3x +12 > 6x -6
12+6 > 6x+3x
18 > 9x
x < 18/9
x < 2 so from this result the solution set for this inequality dont includes 3 as an element