Answer:look it up
Step-by-step explanation:
make the fraction a decaiml then diveide
Answer:
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Step-by-step explanation:
Given the data in the question;
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?
dA/dt = rate in - rate out
first we determine the rate in and rate out;
rate in = 3pound/gallon × 5gallons/min = 15 pound/min
rate out = A pounds/1000gallons × 5gallons/min = 5Ag/1000pounds/min
= 0.005A pounds/min
so we substitute
dA/dt = rate in - rate out
dA/dt = 15 - 0.005A
Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
The quotient is (2x²+10x-5).
<h2>Polynomial</h2>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Given
and
polynomials.
<h3>To find </h3>
The division of
by
.
<h3>How to find the division?</h3>
and
polynomials are given.
satisfied by
. then
Then the equation become
(x+1)(x+2)(x-0.5)(x0.5) then divide the polynomial by x - 3.
![\dfrac{3x^4+6x^{2} +2x^{2} +9x+10}{x+2} = \dfrac{(x+1)(x+2)(x-0.5)(x-0.5)}{x+2} \\\dfrac{3x^4+6x^{2} +2x^{2} +9x+10}{x+2} = (x+1)(x-0.5)(x-0.5)](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%5E4%2B6x%5E%7B2%7D%20%2B2x%5E%7B2%7D%20%2B9x%2B10%7D%7Bx%2B2%7D%20%20%3D%20%5Cdfrac%7B%28x%2B1%29%28x%2B2%29%28x-0.5%29%28x-0.5%29%7D%7Bx%2B2%7D%20%5C%5C%5Cdfrac%7B3x%5E4%2B6x%5E%7B2%7D%20%2B2x%5E%7B2%7D%20%2B9x%2B10%7D%7Bx%2B2%7D%20%20%3D%20%28x%2B1%29%28x-0.5%29%28x-0.5%29)
And on multiplication we have,
![(x+1)(x-0.5)(x-0.5) = (3^{3} +2x+5)](https://tex.z-dn.net/?f=%28x%2B1%29%28x-0.5%29%28x-0.5%29%20%3D%20%283%5E%7B3%7D%20%2B2x%2B5%29)
Thus the quotient is
.
More about the polynomial link is given below.
brainly.com/question/17822016
Answer:
15.38461538461538
Step-by-step explanation:
Answer:
140 square inches
Step-by-step explanation:
An 8 inch by 6 inch rectangle would have a lateral area of 140 square inches.