Answer:
The answer is C. 11/29
Step-by-step explanation:
Simplify the left side.
29a - 5 = 6
Move all terms not containing a to the right side of the equation.
29a = 11
Divide each term by 29 and simplify.
a
= 11
/29
Answer:
84%
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
So for 190000 we have:
z = (190000 - 200000) / (10000)
z = -1
and this value represents 0.1587
for 230000 we have:
z = (230000 - 200000) / (10000)
z = 3
and this value represents 0.9987
we subtract:
0.9987 - 0.1587 = 0.84
Which means that it represents 84% of the houses
Answer:
(0,-4)
(2,-1)
The first point because it is the y-intercept
second point because it is found our by 3/2 as the slope. slope is rise/run. so you rise three and move to the side 2. as is the point (2,-1)
Hope this helps
<h3>
Answer: angle 1 (choice A)</h3>
This is because angles 1 and 4 are vertical angles. Such angles form whenever we have an X shape like this. Vertical angles are always opposite one another and they are always the same measure. The fact that lines k and l are parallel has no relevance (so they could easily be not parallel and the two angles mentioned are still congruent).
Answer:
Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So
So, the solution of the equation is
where m₁ = 3 and m₂ = -7.
So,
Also,
Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,
Substituting A into (1) above, we have
Substituting B into A, we have
Substituting A and B into y, we have
So the solution to the differential equation is