Answer:
The mouse's total distance over the course of 3 hours amounts to 
of a mile
. The same distance was covered by the mouse each hour. Therefore, to ascertain the distance traveled within a single hour, we need to split the total distance of 3 hours by 3. This yields the distance the mouse managed in one hour.
Thus, the distance covered during one hour becomes = 
of a mile
. The mistake made by Matt was that he only adjusted the denominator of the expression by dividing it by 3, which likely led to a miscalculation.
The accurate assessment is: The mouse covers 1/24 of a mile every hour
Answer:
Step-by-step explanation:
Step 1
Calculate the slope of the dashed line
The slope between two points is computed with the formula:
We consider
(-3,1) and (0,3)
and substitute into it:
Step 2
Determine the equation of the dashed line in slope-intercept form:
The equation we established is:
---> associated problem
Substituting yields:
Step 3
Establish the inequality corresponding to the graph
Given that it is represented by a dashed line, the area to the left of this line is shaded.
Thus,
Refer to the attached diagram for enhanced understanding of the problem.
Answer:
D.
Step-by-step explanation:
This function is piece-wise, meaning you will have two equations along with distinct domains. The equation x squared plus 3 illustrates a parabolic curve, while x plus 4 is depicted as a linear function. There is a specific reason why the point on the parabola is open at x equals 4; this signifies that the value does not satisfy the equation. Therefore, x cannot equal 4 for the parabola, so its domain is x less than 4. The closed point on the linear function indicates that when x is 4, it is part of the solution for that equation and graph. Consequently, the domain for the linear function is x greater than or equal to 4. Hope this clarifies things!
In a semicircle, there exist pi radians, whereas a full circle consists of 2pi radians. Since 2pi equals approximately 2*3.14, it results in roughly 6.28 radians in half a circle. The total of 2pi radians corresponds to 360 degrees.
Establish a proportion.
8/127=15/x
Cross multiply
8x=1,905
Divide each side by 8
x=238.125
The greatest of the actual distances is 238.125 km.
Hope this clarification helps:)
