<em>25</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>6×7 - 3²×9 + 4³ =</em>
<em> 1. raise the numbers to power</em>
<em>= 6×7 - 9×9 + 64</em>
<em> 2. we perform the multiplications</em>
<em>= 42 - 81 + 64</em>
<em> 3. we perform addition and subtraction</em>
<em>= (42 + 64) - 81</em>
<em>= 106 - 81</em>
<em>= 25</em>
<em>Good luck !</em>
They are a method for showing the frequency of a data plot in a much more compact and numerical way.
1[2 3
2[1 7
3[3 4 5 7
4[ 0 0 1
Key 1[2= 12
meaning that 3[5 is 35 and 4[0 is 40 and so and so forth
The "dot product" of two vectors has several different formulas.
Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula
a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.
So, for the problem at hand, ax * bx + ay * by becomes
3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.
0.42z = 2.52
z = 2.52 / 0.42
z = 6
same as
z + 7.45 = 13.45
z = 13.45 - 7.45
z = 6
answer is top right z + 7.45 = 13.45
The answer is 1200
3/5=x/2,000
2,000/5=400
3 x 400=1200
