Answer:
y varies of directly as x. This means that the equation is of the form y=kx where k is any number.
Substituting y=12 when x=4, we get
12=k×4⇒k=3
Hence, the required equation is y=3x.
The value of y when x=5 is y=3x5=15.
Step-by-step explanation:
bro it will work ♥️
All you do is solve for z. So 8z-13=7. To solve for a variable you have to do the opposite to cancel out the numbers on each side. First you add 13 over to 7 to cancel out 13 on the z side. So 8z=20 is what you have left. Then you divide 8 on both sides to cancel out 8 on the z side. what you are left with is z=2.5. Lastly you plug and check. 8(2.5) - 13 = 7, 20-13=7. And thats correct so z is 2.5.
To solve this problem, we use the formula:
z = (x – u) / s
where z is the z score value which can be obtained from
the tables, x is the sample value, u is the mean = 6.3 min, and s is the std
dev = 2.2 min
at P value = 0.90, the z = 1.28, finding for x:
x = z s + u
x = 1.28 * 2.2 + 6.3
x = 9.116
at P value = 1.0, the z = 3.49, finding for x:
x = z s + u
x = 3.49 * 2.2 + 6.3
x = 13.978 ~ 14
Therefore the longest 10% calls last about 9.1 minutes to
14 minutes
Answer:
Step-by-step explanation:
Given: 
.
we need to find the correct form for 
if the equation is solve using undetermined coefficients.
A first order differential equation 
is said to be homogeneous if 
for all t.
Consider homogeneous equation 
Let 
be the solution .
We get 
Since 
, 
.
So, we get solution as 
As constant term and 
are already in the R.H.S of equation
, we can take as
2n - 1 - -7n + 2 You combine like terms with subtracting
2n - 7n = -5n
-1 - 2 = -3
So -7n + 2 - 2n - 1 = -5n - 3
