Answer:
64
Step-by-step explanation:
this should be easy cause the 64 is bigger, so the parts are smaller. 192 divided by 64 is 3. 192 divided by 12 is 16. multiply, Yada yada… you get 64 is better!
Answer:
60, 75
150 165
240 255
330 345
Step-by-step explanation:
csc 4 theta = -2 sqrt(3)/3
Write in terms of sin
1/ sin (4 theta) = -2 sqrt(3)/3
Using cross products
-2 sqrt(3) = 3 sin (4 theta)
Divide each side by 3
-2 sqrt(3)/3 = sin (4 theta)
Take the inverse sin on each side
sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))
240 +360n = 4 theta
and 300 +360n = 4 theta where n is an integer
Dividing each side by 4
240/4 +360n/4 = 4/4 theta and 300/4 +360n/4 = 4/4 theta
60 + 90n = theta and 75 +90n = theta
We want all the values between 0 and 360
Let n=0
60, 75
n=1
60+90=150 and 75+90 =165
n=2
60+180= 240 75+180=255
n=3
60+270 = 330 75+ 270 =345
<h3>Answer: 1981</h3>
===================================
Work Shown:
Recall that P is in thousands, so P = 95 means 95,000.
Plug in P(x) = 95. Solve for x. Use logarithms to get this done.
P(x)=230(0.881)^x
95=230(0.881)^x
95/230 = (0.881)^x
0.41304347826087 = (0.881)^x
(0.881)^x = 0.41304347826087
Log( (0.881)^x )= Log( 0.41304347826087 )
x*Log( 0.881 )= Log( 0.41304347826087 )
x= Log( 0.41304347826087 )/Log( 0.881 )
x= 6.97883817154785
x= 7
Approximately 7 years after 1974 is when the population will be around 95,000.
7 years after 1974 = 1974+7 = 1981
Answer:
The value of x that makes the equation true is 3

Explanation:
From the attached image;
Let us write the mathematical equation of the model.
The long bar means x, while the small squares have a value of 1 each.

solving the equation we have;

Therefore, the value of x that makes the equation true is 3
Answer:
cent/km
Step-by-step explanation:
Given


Required
The fuel cost in 
This is calculated using:




Multiply by
to get the cost in cents
cent/km
cent/km