Answer:
Letters O and E have lines of symmetry ! Vertically & horizontally
(f + g)(9) = ?
A. 118
B. 112
C. 119
D. 114
E. 116
F. 111
G. 110
H. 115
I. 113
J. 117
Answer:
D
Step-by-step explanation:
Find (f + g)(x) then evaluate (f + g)(9)
(f + g)(x) = f(x) + g(x)
= 4x - 1 + x² - 2 = x² + 4x - 3
Now substitute x = 9 into the expression
(f + g)(9) = 9² + 4(9) - 3 = 81 + 36 - 3 = 114 → D
Answer:
J.117
Step-by-step explanation:
f(x) =4x-1
if f(2)= 4(2)-1
f(2)= 8-1 = 7
f(2) = 7 equation 1
g(x) =x2-2
if g(4)= (4)2-2
g(4) = 8-2 = 6 equation 2
Now,
(f+g)(9) =?
subtitute equation 1 and 2
(7+6)(9)=?
(13)(9)=?
13×9= 117
Hence, the answer is 117
( 11 + 4) ÷ 3 × √64
Answer:
oh i used an algebra helper and got that answer i had, but i searched on googIe after that and got 40
Answer:
40
Step-by-step explanation:
Following the order of operations you need to do the parenthases first and 11+4 is 15. Then you divide that by 3 which is 5. Then you are going to need to multiply 5 × √64 which the square root of 64 is 8 so you multiply 5 × 8 which is 40.
The radius of the cylinder is 17 inches.
Step-by-step explanation:
Given,
Volume of cylinder = V = 289π in cubed
Height of cylinder = h = 1 in
Radius of cylinder = r
We know that;
Volume of cylinder = πr²h
Putting values;
Dividing both sides by π (pi)
Taking square root on both sides
The radius of the cylinder is 17 inches.
Keywords: volume, radius
Learn more about volumes at:
#LearnwithBrainly
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..