First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.
To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90.
90 - 78 = 12
Answer:
f(x)=(1.023) ⋅ 3^x Growth
f(x)=3 ⋅ (0.072)^x Decay
f(x)=4 ⋅ (0.035)^x Decay
f(x)=2 ⋅ (1.34)^x Growth
Step-by-step explanation:
An exponential function at its heart has a base number of rate. If the rate is less than 1, then the function decays. If the base number or rate is greater than 1, then the function grows and increase.
f(x)=(1.023) ⋅ 3^x Rate 3 - Growth
f(x)=3 ⋅ (0.072)^x Rate 0.072 - Decay
f(x)=4 ⋅ (0.035)^x Rate 0.035 - Decay
f(x)=2 ⋅ (1.34)^x Rate 1.34 - Growth
Answer:
A repetend / reptend
Step-by-step explanation:
This is because most of the times this number is a 0. And a zero is normally a place holder so we don't add it. And if the repetend is zero the decimals is know as a terminating decimal.
HOPE IT HELPED
By definitions of the (co)tangent and cosecant function,
Turn everything into fractions with common denominators:
Recall that 
, so we can simplify both sides a bit.
On the left:
On the right:
(as long as 
, which happens in the interval 
when 
or 
)
So we have
The given data is
Scores: 90-99 80-89 70-79 60-69 50-59
Students: 3 7 12 4 4
Because we are to take the middle value for each group.
Therefore the total score is
Sx = 3*94.5 + 7*84.5 + 12*74.5 + 4*64.5 + 4*54.5 = 2245
The number of students is 3+7+12+4+4 = 30
The mean is
m =2245/30 = 74.833
Calculate (Sx - m)²
(Sx - m)² = 3*(94.5-74.833)² + 7*(84.5-74.833)² + 12*(64.5-74.833)²
+ 4*(64.5-74.833)² + 4*(54.5-74.833)² = 3896.7
Calculate the standard deviation
s = √(3896.7/29) = 11.592
Answer:
mean = 74.83
std. deviation = 11.59
