Answer:
Step-by-step explanation:
We want to differentiate the equation:
With respect to <em>t</em>, where <em>x, y, </em>and <em>z</em> are functions of <em>t. </em>
<em />
So:
![\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bx%5E2-y%5E3%2Bz%5E4%5Cright%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5B1%5Cright%5D)
Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:
The approximate area of the triangular base of James’ tank is 3025 in²
To find the approximate area of the triangular base of James' tank, we need to know what scale is.
<h3>What is scale?</h3>
A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension
Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.
The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²
= (11/4)²
= 121/16
Let
- A = area of triangular base of James' tank,
- A' = area of triangular base of Julian's tank = 400 in²
So, scale, S = A/A'
<h3>
The approximate area of the triangular base of James’ tank</h3>
So, making A subject of the formula, we have
A = SA'
A = 121/16 × 400 in²
A = 121 × 25 in²
A = 3025 in²
So, the approximate area of the triangular base of James’ tank is 3025 in²
Learn more about area of triangle here:
brainly.com/question/27436493
#SPJ1
Answer:f(x)= -2(x-105)^2+18050
Step-by-step explanation: if you plug in 10 as x the answer would equal to zero. And then if you plug In 105 as x the answer would equal to 18050 proving the answer to be correct.
(2x^3-6x-4)/x if your simplifying that's the answer
Answer:
Ahmed needs 225g of flour to make 12 pancakes.
Step-by-step explanation:
With the information provided, you know that the recipe uses 150g of flour for 8 pancakes and you can use a rule of three to find the amount of flour needed to make 12 pancakes:
150g → 8 pancakes
x ← 12 pancakes
x=(150*12)/8= 225g
According to this, the answer is that Ahmed needs 225g of flour to make 12 pancakes.
