The volume of the baseball, to the nearest cubic inch, is A. 6 inches³
The volume of a sphere is calculated by the formula:
<em>= 4/3 x π x radius ³</em>
A baseball is a sphere and in this case its radius is 1.13 inches.
The volume of the baseball is:
= 4/3 x 22/7 x 1.13³
= 4/3 x 22/7 x 1.442897
= 6.0464 inches³
To the nearest inch it is:
= 6 inches ³
In conclusion, the volume of the baseball is 6 inches.
<em>Find out more at brainly.com/question/13010008.</em>
Answer:
The population will be double in 0.5 years.
Step-by-step explanation:
The population growth of a community is modeled by the equation 
, where P (x) is population and x is time in years beginning with x = 0.
Therefore, the population at x = 0 will be = 
If the population becomes double then we can write the equation as
⇒ 
⇒ 
⇒ 2(x + 1) = 3 {Comparing the power terms}
⇒ x + 1 = 1.5
⇒ x = 0.5 years.
Therefore, the population will be double in 0.5 years. (Answer)
Seven times B subtract two is 7 (b- 2)
(i) The simultaneous equations in a, b and c are a+b+c = 7 , 4a+2b+c = 9 & 9a+3b+c = 13
(ii) Expression for nth term = n²-n+7
The first three terms of the sequence are 7, 9, 13
nth term = an²+bn+c
If we put n = 1 then,
1st term = a(1)²+b+c
⇒ a+b+c = 7 ......(1)
If we put n = 2 then,
2nd term = a(2)²+b×2+c
⇒ 4a+2b+c = 9 ........(2)
3rd term = a(3)²+b×3+c
⇒ 9a+3b+c = 13 .......(3)
Multiplying 4 with (1) and subtract (2) from (1) we get,
(4a+4b+4c)-(4a+2b+c)=28-9
⇒ 4a+4b+4c-4a-2b-c=19
⇒ 2b+3c=19 .....(4)
Multiplying 9 with (1) and subtract (3) from (1) we get,
(9a+9b+9c)-(9a+3b+c)=63-13
⇒ 9a+9b+9c-9a-3b-c=50
⇒ 6b+8c=50
⇒ 3b+4c=25 .....(5)
Multiplying 3 with (4) and multiplying 2 with (5), then subtract (5) from (4),
3(2b+3c)-2(3b+4c)=57-50
⇒ 6b+9c-6b-8c=7
⇒ c = 7
From (5),
3b+28 = 25
⇒ 3b = -3
⇒ b = -1
From (1),
a+(-1)+7 = 7
⇒ a-1=0
⇒ a=1
So, nth term = n²-n+7
Learn more about sequence here :
brainly.com/question/6561461
#SPJ10
