3-(2x-5)=-4(x+2)
We simplify the equation to the form, which is simple to understand
3-(2x-5)=-4(x+2)
Remove unnecessary parentheses
3-2x+5=-4*(x+2)
Reorder the terms in parentheses
3-2x+5=+(-4x-8)
Remove unnecessary parentheses
+3-2x+5=-4x-8
We move all terms containing x to the left and all other terms to the right.
-2x+4x=-8-3-5
We simplify left and right side of the equation.
+2x=-16
We divide both sides of the equation by 2 to get x.
x=-8
Answer:
29 is answer.
Step-by-step explanation:
Given that the function s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237.
To find average velocity of the object over the interval of time [1,3]
We know that derivative of s is velocity and antiderivative of velocity is position vector .
Since moving along a line equation of s is
use two point formula
gives the position at time t.
Average velocity in interval (1,3)
=![\frac{1}{3-1} (s(3)-s(1))\\=\frac{1}{2} [87+58-29-58]\\=29](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3-1%7D%20%28s%283%29-s%281%29%29%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D%20%5B87%2B58-29-58%5D%5C%5C%3D29)
Answer:
227.5
Step-by-step explanation: You have to multiply 3.5 times 65
Hope this helps!!!
Answer:
B. 7.9 in^2
Step-by-step explanation:
Part I.
Finding the fraction of the circle that is the sector
To start, let’s find the fraction of the circle that the sector covers. Since the measure of the central angle is 36, we get 36/360 or 1/10 of the circle.
Part II.
Finding the area of the Circle
The area of a circle is pi*r^2. Since r=5, then the area is 25pi.
Part III.
Finding the area of the sector.
Since the sector is 1/10 of the circle, its area is 1/10 of the circle’s area. So the area of the sector is 25/10*pi or (5/2)pi. This is approximately 7.9 in^2.
Answer:
B
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year,
then, solving our equation
I = 16500 × 0.042 × 5 = 3465
I = $ 3,465.00
The simple interest accumulated
on a principal of $ 16,500.00
at a rate of 4.2% per year
for 5 years is $ 3,465.00.
