Answer:
156
Step-by-step explanation:
f(x)= 4^(2x) -100
Let x =2
f(2)= 4^(2*2) -100
= 4^4 - 100
= 256 -100
= 156
Answer:
-3
Step-by-step explanation:
-3k / ( k-2) + 6 / ( k-2)
since the denominators are the same we can add the numerators
(-3k+6) / ( k-2)
Factor out -3
-3 ( k-2)/ ( k-2)
Cancel like terms
-3
Answer:
8x + 12 = 12 + 8x
0 = 0
Step-by-step explanation:
Distribute then simplify
Answer:
720
Step-by-step explanation:
because 8% of 9000$ is 720$.
another way.
Step 1: Our output value is 9000.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$9000=100$.
Step 4: Similarly, $x=.8%$.
Step 5: This results in a pair of simple equations:
$9000=100%(1)$.
$x=.8%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
Step 7: Again, the reciprocal of both sides gives
Therefore, 8%of $9000$ is $720
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span> = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
= (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>
