See the picture attached to better understand the problem
we know that
a full circle is a 360 degrees
divided in 12 equals parts-------> 360/12-------> 30 degrees each part
<span>the smallest angle formed by the hands of a clock at 7 o'clock has 5 parts
so
5*30</span>°------> 150°
convert to radian
pi radians---------> 180°
x ---------------> 150°
x=150*pi/180--------> x=0.83*pi radians
the answer is0.83*pi radians or 2.62 radians
Answer:
y = 2x + 2
Step-by-step explanation:
The slope is also called the gradient of the line.
The slope that is given is two, and the point is (1, 4).
I made a point slope equation, and then converted it into a slope-intercept equation.
Hope this helps.
Answer:
- The store sold 733 gallons of ice cream last month.
- The store sold 748 pounds of broccoli last month.
Step-by-step explanation:
Given
Solving (a): Gallons of Ice Cream
<em>Let Gallons sold last month be G1; Gallons sold this month be G2;</em>
The relationship between both is:
Substitute 623 for G2
Divide through by 0.85
Solving (b): Pounds of Broccoli
<em>Let Pounds sold last month be P1; Pounds sold this month be P2;</em>
The relationship between both is:
Substitute 912 for P2
Divide through by 1.22
The signs of the x-term and the constant term are both positive, so the signs of the constants in the binomial factors must be the same and must both be positive. The only offering that meets that requirement is
... C (2x+1)(3x+5)
_____
If you multiply that out, you get 6x² + 10x + 3x + 5 = 6x² +13x +5, as required.
The sign of the constant term is the product of the signs of the constants in the binomial factors: (+1)·(+5). We want a positive sign for the constant, so both binomial factor constants must have the same sign.
When the signs of the binomial factor constants are the same, the x-term constant will match them. Thus, for a positive x-term constant, both binomial factor constants must be positive.
Yes, the common factor is (2x+5) and the equation can be expressed as:
(x^3-4)(2x+5)
