To find out the number of days, we should create equations based on the values provided. The total distance Kayla aims to travel combines both her running distance and her biking distance.
200 miles = (6 miles/day)x + (10 miles/day)y
where x signifies the days she spent running and y represents the days bike riding.
If the minimum biking days are set to be 15, indicated by y = 15, we have:
200 miles = (6 miles/day)x + (10 miles/day)(15 days)
Solving for x gives:
200 = 6x + 150
50 = 6x
x = 8.3333 days
Total days = 15 days biking + 8.3333 days running = 23.3333 days, approximately making it 24 days.
Answer:
The constant pay of $25 signifies the intercept
Step-by-step explanation:
To address this query, we first need to comprehend and relate it to the formula for a straight line.
i.e
this represents the line's equation
where m= slope
y= dependent variable
x= independent variable
c= intercept
Given

by comparing the two expressions, we can observe that
25 is equivalent to c, which denotes the intercept
Answer:
The value equals 1
Step-by-step explanation:
Consider the expression

Recall that


For two complementary angles A and B (where A+B=90°),
the identity is
cos(A) = sin(B)
Here, 26° and 64° are complementary angles, so

Substituting values,


From this, we find

By substitution,

Response:
a) 
b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.
Detailed explanation:
The relationship between the tank’s volume and time is given by:

Where V(0) indicates the starting volume and a denotes the hourly decrease.
a. Create a formula for v in terms of t.
The tank starts with 24 gallons of water, hence 
It drains steadily at 2 gallons each hour, therefore 
Then


b. When t progresses from 3 to 6, v changes from _________ to _________



So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.
Answer:
Here is the solution to the entire assessment: https://school.ckseattle.org/documents/2019/2/8_2_The_Pythagorean_Theorem_and_Its_Converse.pdf
Step-by-step explanation: