6 · e^(4x - 2) = 3
e^(4x - 2) = .5
ln e^(4x - 2) = ln (.5)
4x - 2 = ln (.5)
4x = ln (.5) + 2
x = (ln (.5) + 2)/4
x = 0.3267
x ≈ 0.327
Answer: B
Answer:
$146
Step-by-step explanation:
54.75= 3 hrs
divide both sides by 3
18.25= 1 hr
multiply both sides by 8
$146= 8hrs
Answer:
20 + d = 40
Step-by-step explanation:
It gives you 20 so you just say you want to add Donnie's age to equal 40. In math,
and/sum means add +
is means equals =
Answer:
YZ ≅ AB
Step-by-step explanation:
A translation is a correspondence between two mathematical figures, for instance, the coordinates of each point in a straight line of one figure that is added to the coordinates of the corresponding point on the other figure.
But here, we are given a Δ XYZ which is translated to ΔCAB. This tells us more about how the corresponding points preserve their congruence nature.
i.e.
X corresponds to C
Y corresponds to A
Z corresponds to B
Similarly;
XY corresponds to CA
YZ corresponds to AB
XZ corresponds to CB
Since both triangles preserve their congruence nature, then all corresponding points are congruent as well.
Therefore, from the choice of options given, only YZ corresponds to AB is the right answer.
i.e.
YZ ≅ AB
Answer:
11 sets of forks
Step-by-step explanation:
First subtract 406-278 to find total amount of forks needed which is 128 forks.
Then divide 128 by 12 to see how many sets of forks you need.
You get 10.67 but because you can't buy two thirds of a set, you have to round up to 11 sets of forks.
Hope this helps :)
