Answer:
4(5x-8) (x+5)
Step-by-step explanation:
4(5x^2+17x-40)
4(5x-8) (x+5)
volume of the center sphere = 4/3*PI*r^3
r = 3 ( given in the picture)
so 4/3 * 3.14 *3^3 = 113.04 cubic feet
volume of 1 cone: pi *r^2 *h/3
r = 3 and h=3 ( given in the picture)
so 3.14 * 3^2 * 3/3 = 28.26 cubic feet
there are 4 cones so 28.26* 4 = 113.04 cubic feet
113.04 + 113.04 = 226.08 cubic feet
rounded to nearest cubic foot = 226 cubic feet
Answer:
y= 2x +7
Step-by-step explanation:
<u>Slope-intercept</u><u> </u><u>form</u><u>:</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 2, m=2.
y= 2x +c
Given that the y-intercept is -7, c = -7.
y= 2x +7
In Geometric Progression, we know S(n) = a.(rⁿ - 1 ) / r - 1
Here, a = 3, r = 4 a(n) = 1,023
1023 = 3 (4ⁿ - 1) / (4 - 1)
3(4ⁿ - 1) = 1023 * 3
4ⁿ - 1 = 3069 / 3
4ⁿ = 1023 + 1
4ⁿ = 1024
4⁵ = 1024
In short, Your Answer would be 5 Terms
Hope this helps!
Answer:
4/5 * 3/7
To multiply the fractions, multiply the numerators and denominators separately
4*3/5*7
multiply the numbers
12/5*7
multiply the numbers
12/35
hope that helps
Step-by-step explanation:
