First take the square root of 25, then take the square root of 49.
It is as easy as separating the square root to apply to both terms separately instead of combined.
sqrt(25)/sqrt(49)
5/7
The value of a from the equation is -63.
Here we have to find the value of a.
Given data:
The equation is = x³ + 8x² + ax -2
The equation is divisible by x -1
So we have:
x -1 = 0
x = 1
Now putting the value in the equation we get the remainder as o because the equation is divisible by x -1.
So;
1³ + 8² + a(1) - 2 = 0
63 + a = 0
a = -63
Therefore we get the value of a as -63.
To know more about the equation refer to the link given below:
brainly.com/question/14107099
#SPJ4
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
Answer:
If we stipulate that a baby is premature if the length of pregnancy is in the lowest 4%, find the length that separates premature babies from those who are not premature. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.
hope it helps :)
please mark it the brainliest!
Its much shorter since you changed 2 inequalities into 1 and you made it be 2 in 1
