Answer:
2 hour 50 minutes
Step-by-step explanation:
Given data: Departure = 5:30 pm MST, Arrive = 9:20 pm CST
Note that MST is the time zone 1 hour before CST.
Let us convert MST into CST.
Departure = 5:30 pm MST = 6:30 pm CST
Total time travel = Departure – Arrival
= 9.20 pm MST – 6.30 pm MST
= 2 hour 50 minutes
Hence, total time travel is 2 hour 50 minutes.
3x^2 + 4x - 21x - 28
x(3x + 4) - 7(3x + 4)
(3x + 4) (x - 7)
Answer: B).
Answer:
The function best describe the linear relationship be y = 640 - 75x.
Step-by-step explanation:
As given
Wanda has $640 in her checking account.
She pays her landlord $75 per week for rent.
Let us assume that the number of weeks be x.
Let us assume that the y reresented the money in the account after x weeks.
Than the function becomes
y = 640 - 75x
Therefore the function best describe the linear relationship be y = 640 - 75x.
Answer:
x=30º
∠CAB=60°
∠ACB=80°
Step-by-step explanation:
Because the angles of every triangle add up to 180º, we know that:
x=30º
Plug that in for x on both angles, and you will get
∠CAB=60°
∠ACB=80°
Answer:
The integral symbol in the previous definition should look familiar. We have seen similar notation in the chapter on Applications of Derivatives, where we used the indefinite integral symbol (without the a and b above and below) to represent an antiderivative. Although the notation for indefinite integrals may look similar to the notation for a definite integral, they are not the same. A definite integral is a number. An indefinite integral is a family of functions. Later in this chapter we examine how these concepts are related. However, close attention should always be paid to notation so we know whether we’re working with a definite integral or an indefinite integral.
Integral notation goes back to the late seventeenth century and is one of the contributions of Gottfried Wilhelm Leibniz, who is often considered to be the codiscoverer of calculus, along with Isaac Newton. The integration symbol ∫ is an elongated S, suggesting sigma or summation. On a definite integral, above and below the summation symbol are the boundaries of the interval, \left[a,b\right]. The numbers a and b are x-values and are called the limits of integration; specifically, a is the lower limit and b is the upper limit. To clarify, we are using the word limit in two different ways in the context of the definite integral. First, we talk about the limit of a sum as n\to \infty . Second, the boundaries of the region are called the limits of integration.
We call the function f(x) the integrand, and the dx indicates that f(x) is a function with respect to x, called the variable of integration. Note that, like the index in a sum, the variable of integration is a dummy variable, and has no impact on the computation of the integral.
his leads to the following theorem, which we state without proof.
Step-by-step explanation:
