An experiment was conducted to record the jumping distances of paper frogs made from construction paper. Based on the sample, th

Let

t--------> the time measured in hours

d-------> the distance in miles

we understand that

this represents a linear equation corresponding to the situation

where time t is the independent variable and distance d is the dependent variable

The distance in function notation can be expressed as

Using a graphical tool

refer to the attached image

The function's domain extends over the interval----------> [0,∞)

The range of this function is defined by the interval------->  [0,∞)

Statements

a) The independent variable, the input, is the variable d, which signifies distance

This statement is incorrect

Because the independent variable is actually t

b) The distance covered is contingent on the duration of time Marlene spends riding her bike

This statement is correct

Because the equation for distance in function notation is equal to

c) The initial speed relevant to the scenario is 16 miles per hour

This statement is incorrect

Because indicates the slope or rate of the linear equation

d) The equation t = d + 16 relates to the scenario

This statement is incorrect

Because the situation is represented by the function

e) The function f(t) = 16t relates to the scenario

This statement is correct

The distance from my home to my friend's residence is 14 miles Step-by-step explanation: Let me clarify the solution process: - When heading to my friend's house, my driving speed is 35 miles per hour. - In returning home, the driving speed increases to 40 miles per hour. - The total duration of the trip was 45 minutes. - Our goal is to determine the distance separating my home from my friend's house. - First, we will convert 45 minutes into hours since the driving speed is expressed in miles per hour. Knowing that 1 hour equals 60 minutes, it follows that 45 minutes equates to hours. - Let’s assume that the distance between my home and my friend's place is d; thus, the time taken to reach my friend's house will be and the time for the ride back will be. Since the distance between the two is d, the corresponding equations will be: d = 35 ×, and d = 40 ×. - Setting both equations equal we derive:. - After dividing both sides by 35, it leads to. - This indicates that the total time of the round trip is hours. - Utilizing this information, we then substitute back into the equations to compute d, leading to the conclusion that the distance from my home to my friend's is indeed 14 miles.

Answer:

a. 80 students

b. 92 students

Step-by-step explanation:

Designate arts students as A and dance students as D.

Thus, we have,[['[TAG_14]]

n(A) = 35

n(D) = 57

Required

To determine n(A or D)

For (a):

We find that:

n(A and D) = 12

The calculation for n(A or D) is as follows:

n(A or D) = n(A) + n(D) - n(A and D)

n(A or D) = 35 + 57 - 12

n(A or D) = 80

b. Given the details

n(A and D) = 0 since no students are enrolled in both classes as indicated in (a)

Using the same formula as in (a).

n(A or D) = n(A) + n(D) - n(A and D)

n(A or D) = 35 + 57 - 0

n(A or D) = 92

Answer:

I find it frustrating when responses don't start with A, B, C, or D, but in this instance, the correct choice is B.

Step-by-step explanation:

Gabe mowed 5 lawns and made $150.