Answer:
The sum is 1575.
Step-by-step explanation:
Consider the provided information.
It is given that positive integers smaller than 1000 and that can be written in the form 
Where n is integer that means the value of n can be a positive number or a negative number.
For n = 0
For n=-1
For n=-2
For n = -3 the obtained number is not an integer.
Now consider the positive value of n.
For n=1
For n=2
For n=3
For n=4 the obtained number is greater than 1000.
Now add all the numbers.
Hence, the sum is 1575.
Answer:
(3)11
Step-by-step explanation:
We are given that
We have to find the sum of positive roots of the equation.
Factor of 336
2,3,4,6,8,7,
Let x=2
x=2 is not the root of equation
x=-2
Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3
Therefore, x=3 is the root of equation.
Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.
Answer:
dx/dt = 0,04 m/sec
Step-by-step explanation:
Area of the circle is:
A(c) =π*x² where x is a radius of the circle
Applying differentiation in relation to time we get:
dA(c)/dt = π*2*x* dx/dt
In this equation we know:
dA(c)/dt = 0,5 m²/sec
And are looking for dx/dt then
0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)
When A(c) = 12 m² x = ??
A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²
x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m
Finally plugging ths value in equation (1)
0,5 = 6,28*1,954*dx/dt
dx/dt = 0,5 /12.28
dx/dt = 0,04 m/sec
Answer:
-850 m
Step-by-step explanation:
New position = - 1300 +450 = - 850 m
