Answer: 511
Step-by-step explanation:
53.
For this problem simply plug in the numbers: 1 through 9 for n
the n=1 on the bottom represents the start and the 9 at the top represents the end
and the 2^n-1 represents the rule
solving for a1: plugging in one for n
a1=2^1-1
a1=1
a2=2^2-1
a2=2
a3=2^3-1
a3=4
a4=2^4-1
a4=8
a5=2^5-1
a5=16
a6=2^6-1
a6=32
a7=2^7-1
a7=64
a8=2^8-1
a8=128
a9=2^9-1
a9=256
after finding all these values add them all together and you should get your answer
1+2+4+8+16+32+64+128+256
=511
Answer: -4 (m + 6) = -8
We can use the distributive property for the first half of the equation.
-4 × m = -4m
-4 × 6 = -24
-4m - 24 = -8
Now we add 24 on bothe side sof the equation to get -4m by itself.
-4m - 24 + 24 = -8 + 24
Now we get -4m = 16
Divide -4 on both sides to get m by itself
-4m/-4 = 16/-4
Simplify and we get m = -4
The equation is the given one:
Which is the same as:
And the interval of the angle θ must be (0°,90°) so, 2θ must be (0°,180°).
So the statement is True.
Answer:20mph
Step-by-step explanation:
speed of plane = x mph
Speed of plane with wind = 485 mph
So therefore, speed of wind =
485 - x
Speed of plane against wind = 445 mph
So therefore, speed of wind =
x - 445
So therefore, equating the 2 equations of speed of wind
485 - x = x - 445
Collect like terms
485 + 445 = x + x
930 = 2x
2x = 930
x = 930/2 = 465 mph
Speed of wind = x = 465mph
So we put this value on any of the equations for speed of wind
Speed of wind = x - 445 = 465 - 445
= 20 mph
So therefore, speed of wind = 20mph
