Answer:
7.92
Step-by-step explanation:
Given
c² + 0.1c - 24 ← substitute c = - 5.7 into the expression
= (- 5.7)² + 0.1(- 5.7) - 24
= 32.49 - 0.57 - 24
= 31.92 - 24
= 7.92
Answer:
x'-5x=0, or x''-25x=0, or x'''-125x=0
Step-by-step explanation:
The function 
is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.
Using rules of differentiation, we obtain that 
. Differentiate again to obtain, 
. Repeating this process, 
.
This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.
Answer:
The 99% confidence interval for the mean amount of money spent on lunch per week for all college students is between $41.40 and $44.60.
Step-by-step explanation:
A confidence interval has two bounds, a lower bounds and an upper bound.
These bounds depend on the sample mean and the margin of error.
The lower bound is the sample mean subtracted by the margin of error.
The upper bound is the margin of error added to the sample mean.
In this problem, we have that:
The sample mean is $43.
The margin of error is $1.60 for a 99% confidence interval.
Lower bound: 43 - 1.60 = $41.40
Upper bound: 43 + 1.60 = $44.60
The 99% confidence interval for the mean amount of money spent on lunch per week for all college students is between $41.40 and $44.60.
So you start off by seeing how many times 10 can go into 38, it would be 3 times and then your left with 8/10 and if you divide those by 2 you should get 4/5. so your final answer would be 3 4/5
