Answer:
The answer to your question is F = 110.4 N
Step-by-step explanation:
Data
mass = 92 kg
acceleration = 1.2 m/s²
Force = ?
Process
To solve this problem use Newton's second law which states that the acceleration of an object is dependent upon two variables, the net force acting upon the body and the mass of the object.
Formula
F = ma
-Substitution
F = (92)(1.2)
-Result
F = 110.4 N
The expected value of playing this game = a weighted average of the winnings (or losses) multiplied by the odds of winning: (3/37)3 + (9/37)2 + (25/37054)(-1) = 9/37 + 18/37 - 25/37 = 27/37 -25/37 = 2/37 = about 0.054 winnings = $0.054 = 5.4 cents
The answer is 9
u - the unit digit
t - the tenth digit
So, the original two digit number will be: 10t + u.
<span>The reversed two-digit number will be: 10u + t
</span>
Five times the sum of the digits of a two-digit number is 13 less than the original number is: 5(u + t) = 10t + u - 13
four times the sum of its two digits is 21 less than the reversed two-digit number: 4(u + t) = 10u + t - 21
Thus, we have two equations:
5(u + t) = 10t + u - 13
4(u + t) = 10u + t - 21
_______________
Multiply the factor:
5u + 5t = 10t + u - 13
4u + 4t = 10u + t - 21
_______________
Rearrange:
5u + 5t - 10t - u = -13
4u + 4t - 10u - t = -21
_______________
4u - 5t = -13
-6u + 3t = -21
_______________
Multiply the first equation by 3, and the second by 2:
4u · 3 - 5t · 3 = -13 · 3
-6u · 2 + 3t · 2 = -21 · 2
________________
12u -15t = -39
-12u + 6t = -42
________________
Add these two equations to make one equation:
12u - 15t - 12u + 6t = -39 - 42
________________
12u can be canceled out:
-9t = - 81
________________
t = -81/-9
<span>t = 9
________________
</span>Replace t in one of the equations:
4u - 5 · 9 = -13
4u - 45 = -13
4u = -13 + 45
4u = 32
u = 32/4
<span>u = 8
</span>
Therefore, t = 9, u = 8
The original two digit number will be: 10t + u = 10·9 + 8 = 90 + 8 = 98
The reversed two-digit number will be: 10u + t = 10·8 + 9 = 80 + 9 = 89
The difference of the original two-digit number and the number with reversed digits is 98 - 89 = 9
Considering that the length and the width are equal, the volume would be 48 cm because V=lwh/3. Hope this helped!
Is there an image you can provide if possible
