Angle θ between two vectors is given by,
; where
;
and
.
Therefore,
Answer:Number of small boxes shipped = 8
Number of large boxes shipped = 13
Step-by-step explanation:
Step-by-step explanation:
Let x be the number of small boxes and let y be the number of large boxes
According to the first statement, a total of 21 boxes were shipped
Equation 1 will be:
x+y=21
According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
Equation 2 will be:
25x+70y=1110
Use the substitution method for solving the equation
Putting the value of x in equation 2
25(21-y) +70y =1110
525-25y+70y = 1110
45y = 585
Y=13
Putting the value of y in equation 1
x+13 = 21
X = 8
Number of small boxes shipped = 8
Number of large boxes shipped = 13
Subtract 14 from 15.96 to find the increase.
15.96 - 14 = 1.96
Divide 1.96 by 14.
1.96 / 14 = 0.14
In percents that is 14%.
This is an increase of 14%.
Hope this helps!
Answer:
31
Step-by-step explanation:
Plug in 3 for x in the expression:
4(3²) - 5
Note that there are no parenthesis (other than the one I added, to make it easier for you. Follow the order of operations, PEMDAS. PEMDAS = Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction, and the left -> right rule.
First, solve the exponent:
4(3²) - 5 = 4(3 * 3) - 5 = 4(9) - 5
Next, solve the multiplication:
4(9) - 5 = 36 - 5
Finally, subtract:
36 - 5 = 31
31 is your answer.
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8 is your answer to your question
