Answer:
65
Step-by-step explanation:
-3x^3 + 7x^2 -7x-1
Let x = -2
-3(-2)^3 +7(-2)^2 -7(-2) -1
According to PEMDAS, Powers first
-3(-8) +7(4) +14 -1
Then multiply
24 +28 +14-1
Then add and subtract
65
Answer:
30 minutes
Step-by-step explanation:
Nathaniel can weld 1 rail in 75 minutes, so he welds 1R = 75 min, and Brenda can weld 1 rail in 50 minutes (25 minutes faster than Nathaniel), so she welds
1R = 50 min
We want to see how many minutes it takes them both, so we need to solve both problems for the minute unit
Nathaniel: (1/75)R = 1 min (he can do one seventy-fifth of a rail per minute)
Brenda: (1/50)R = 1 min (she can do one fiftieth of a rail per minute)
notice, the equation is 1/(minutes it takes them), and we want to see how long it takes both of them, so we get the equation:
1/75 + 1/50 = 1/x
Simplify the left side with common denominator of 57(50) = 3750
We get
125/3750 = 1/x
We can cross multiply to get rid of the fractions...
125x = 3750
Divide both sides by 125 to solve for x...
x = 30, so it would take them 30 minutes to weld a rail if they work together.
Given that t<span>here
are 20 light bulbs in 5 packages.
The table to find the rate
that gives you the number of light bulbs in 3 packages is given as follows:
![\begin{tabular} {|c|c|c|c|c|c|} Light bulbs&4&8&12&16&20\\[1ex] Packages&1&2&3&4&5 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%0ALight%20bulbs%264%268%2612%2616%2620%5C%5C%5B1ex%5D%0APackages%261%262%263%264%265%0A%5Cend%7Btabular%7D)
Three different ways in which the rate can be written are:
12 light bulbs to 3 packages
12 light bulbs : 3 packages
12 light bulbs / 3 packages
</span>
Answer:
The slope of the line is y = 1.8x
Answer:
0.6170
Step-by-step explanation:
Given that a manufacturing process is designed to produce bolts with a 0.25-in. diameter.
i.e. no of bolts which are produced as per standard is X means then
X is normal with mean = 0.250 and std dev = 0.04
No of bolts tested = 36
If this mean falls outside the interval (0.230,0.270) the production would be shut down.
i.e. P(|x-25|>0.20) =production shut down probability
