Answer:
<em>The PIN is 1147</em>
Step-by-step explanation:
<u>Prime numbers</u>
These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.

Thus, the first prime to consider is 31. Write the consecutive primes from 31:
31 , 37 , 41 , 43
We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147
Answer:
<h2>
x = 16</h2>
Step-by-step explanation:
³/₄(x - 12) = 3 {multiply both sides by ⁴/₃}
x - 12 = 4 {add 12 to both sides}
x = 16
Answer:
y = 1/3(x + 5)^2 - 4
Step-by-step explanation:
The general vertex form is;
y = a(x-h)^2 + k
From the question, (h,k) are the coordinates of the vertex which is (-5,-4)
So we have
y = a(x + 5)^2 -4
So we need to get the leading coefficient
Simply substitute the point it passes through
x = -2 and y = -1
-1 = a(-2 + 5)^2 - 4
-1 = a(3)^2 -4
-1 = 9a -4
9a = 4-1
9a = 3
a = 3/9
a = 1/3
So the equation is;
y = 1/3(x + 5)^2 - 4
Answer:
D.
Step-by-step explanation:
Area=w*h
w*h=(2h)*(h)=2h^2
dA/dt=2(2h)=4h
dA/dt=4h dh/dt in^2/sec