The volume of rectangular prism is the product of its length, width and height.
So the volume V of prism with length
yards, width
yards and height of 4 yards will be:
Thus the volume of prism as a mixed number in simplest form will be
cubic yards
Answer:
<h2>
301.593</h2><h2 />
Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 4 km radius
h = 8 km
<u>plugin values into the formula</u>
surface area = 2πrh + 2πr²
= 2π (4) 8 + 2π (4)²
= 201.062 + 100.531
= 301.593 km²
Profit = revenue - expenses
expenses : 125,000 + 6.50x
revenue : 9x
so to make a profit, ur revenue (income) has to be higher then ur expenses
revenue > expenses
A. ) 9x > 125,000 + 6.50x
9x - 6.50x > 125,000
2.5x > 125,000
x > 125,000 / 2.5
x > 50,000......so they would have to sell at least 50,001 devices to make a profit <==
B.) the cost of making 1 device is 10% more then the company predicted....10% more then 6.50.....6.50(1.10) = 7.15.....this is the new cost of making 1 device <==
9x > 125,000 + 7.15x ....this is the inequality with the 10% more added
9x - 7.15x > 125,000
1.85x > 125,000
x > 125,000 / 1.85
x > 67,567.5......so to make a profit, they would have to sell at least 67,568 devices to make a profit <==
Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)
<h3>What are
equivalent functions?</h3>
Equivalent functions are different functions that have equal values when evaluated and compared
<h3>How to determin the equivalent function that best shows the x-intercepts on the graph?</h3>
The function is given as:
f(x) = 36x^2 - 1
Express 1 as 1^2
f(x) = 36x^2 - 1^2
Express 36x^2 as (6x)^2
f(x) = (6x)^2 - 1^2
Apply the difference of two squares.
This is represented as:
(a + b)(a - b) = a^2 - b^2
So, we have the following equation
f(x) = (6x - 1)(6x + 1)
Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)
Read more about equivalent function at:
brainly.com/question/2972832
#SPJ1
Answer:
Slope: 1/3; Y-iintercept: 4 y=1/3x+4
Slope: -2; Y-intercept: 4 y=-2x
Step-by-step explanation:
Hope this helps :3
if it did pls mark brainliest
