Answer:
Step-by-step explanation:
First we need to find their rate of speed.
r = d / t
For ant,
Convert millimeters to inches.
1 inch = 25.4 mm
18 mm = 0.7 inch
r = 0.7 / 5
r = 0.14 inches per second
For beetle,
r = 8 / 3
r = 2.7 inches per second
From the rates, you can tell that the beetle crosses the Garden first.
To know how long it takes for the ant to cross is by dividing the length by the rate.
1 yard = 36 inches
13 yards = 468 inches
468 ÷ 0.14 = 668.5 ≈ 669 seconds
In terms of minutes:
11 minutes and 15 seconds
The ant would cross the garden in 11 minutes and 15 seconds (or 669 seconds <em>up to you</em>).
Jon earns 6 dollars per hour.
We know this because, if he gets paid $20 and buys $2 worth of gasoline, his profit is $18.
Then, we divide 18 by the number of hours he worked, 3, and thus, Jon earns $6/hr.
Answer:
The zeros, -1.48 and 1.48, represent the times where the egg is on the ground.
Step-by-step explanation:
The roots, or zeros, of an expression are the x-intercepts. They are the points where the data crosses the x-axis. The y-coordinate at these points is 0. This means the height of the egg at these points is 0.
The values of a, b and c in this equation are -16, 0 and 35. Using the quadratic formula,

Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
harkovskaia [24]
Ahh..this is sets topics - A U B = all the elements found in A and B. But do note, do not repeat the elements if it is the same. And if the question were to ask : n(AUB) = total number of elements found in A and B.
Using linear function concepts, it is found that:
a) The initial value is of 3 and the rate of change is of 20.
b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.
In this problem, the function that gives the charge C for renting a bicycle for h hours is:

Item a:
Comparing to the standard function, we have that:
- The initial value is of 3 and the rate of change is of 20.
Item b:
The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
You can learn more about linear function concepts at brainly.com/question/24808124