Answer:
2x² + 8x - 35
Step-by-step explanation:
x(2x + 3) + 5(x - 7) ← distribute both parenthesis
= 2x² + 3x + 5x - 35 ← collect like terms
= 2x² + 8x - 35
Sphere Surface Area = <span> 4 • <span>π <span>• r²
For it to equal 16 PI, then radius must equal 2
4*PI*2*2 = 16 PI
</span></span></span>
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span>
Sphere Volume = <span> 4/3 • <span>π <span>• 2^3
</span></span></span>
Sphere Volume = <span> 4/3 *PI * 8
</span>
Sphere Volume = <span> 32 / 3 PI
</span>
Sphere Volume = <span> 10.666 PI cubic feet AND I think that is answer B
which SHOULD read 10 (2/3) PI ft^3
</span>
Answer:
I won't stop the line for a half hour break.
Step-by-step explanation:
<u>Proportions</u>
One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value
.
There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.
Actual time: 2:00 pm
Final time: 5:00 pm
Rate of production: 2 toasters/minute
Actual production: 560 toasters
Updated goal: 900-560 = 340 toasters
Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.
It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.
Note: The maximum break time that can be granted is 20/2 = 10 minutes
Answer:
Step-by-step explanation:
Sample size 52 card
Pay for J or Q 
Pay for King or Ace 
Pay for others 
Therefore
Probability of drawing J or Q
Probability or drawing King or Ace
Probability or drawing Other cards
Therefore
Expected Gain is mathematically given as
I will show you how to do the first one.....we are finding the GCF...the largest number that goes into each number (same for variables)
1.) 20yx , 80x³ ( factor each number and variable)
20 = 2, 4, 5, 10, 20
y = y
x = x
80 = 2, 4, 5, 8, 10, 16, 20, 40, 80
x³ = x, x, x
what is the largest number that 20 and 80 have in common? 20...
how about the variables? x
so, the Greatest Common Factor (GCF is 20x)
