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3 years ago

А ____________ is a comparison of two quantities by division.

Mathematics

1 answer:

Phoenix [80]3 years ago

5 0

Answer:

Rate

Step-by-step explanation:

When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .

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(2x^2+4x-3)-(2x^2+4x-3) show work mark brainliest

Aleksandr [31]

$Solution: \left(2x^2+4x-3\right)-\left(2x^2+4x-3\right)=0$

Steps:

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a, =2x^2+4x-3-\left(2x^2+4x-3\right)$

$-\left(2x^2+4x-3\right):\quad -2x^2-4x+3$

$=2x^2+4x-3-2x^2-4x+3$

$\mathrm{Simplify}\:2x^2+4x-3-2x^2-4x+3:\quad 0$

8 0

3 years ago

2x+12 linear equations

aleksley [76]

Answer:

2x+12=180°

Step-by-step explanation:

because linear is equal to 180°

3 0

3 years ago

• The difference between a polynomial or rational equation and polynomial or rational inequality

algol [13]

Answer:

An equation has an equal sign between two expressions, while an inequality has a ≤ or ≥ sign.

4 0

3 years ago

In a previous exercise we formulated a model for learning in the form of the differential equation dp dt = k(m − p) where p(t) m

DaniilM [7]

I assume you mean

$\dfrac{dP}{dt} = k(M-P)$

ANSWER
An expression for P(t) is

$P = M - Me^{-kt}$

EXPLANATION
This is a separable differential equation. Treat M and k as constants. Then we can divide both sides by M - P to get the P term with the differential dP and multiply both sides by dt to separate dt from the P terms

$\begin{aligned} \dfrac{dP}{dt} &= k(M-P) \\ \dfrac{dP}{M-P} &= k\, dt
\end{aligned}$

Integrate both sides of the equation.

$\begin{aligned}
\int \dfrac{dP}{M-P} &= \int k\, dt \\
-\ln|M-P| &= kt + C \\
\ln|M-P| &= -kt - C\end{aligned}$

Note that for the left-hand side, u-substitution gives us

$u = M - P \implies du = -1dP \implies dP = -du$

hence why $\int \frac{dP}{M-P} \ne \ln|M - P|$

Now we use the definition of the logarithm to convert into exponential form.

The definition is

$\ln(a) = b \iff \log_e(a) = b \iff e^b = a$

so applying it here, we get

$\begin{aligned} \ln|M-P| &= -kt - C \\ |M - P| &= e^{-kt - C} \\ 
M - P &= \pm e^{-kt - C} 
 \end{aligned}$

Exponent properties can be used to address the constant C. We use $x^{a} \cdot x^{b} = x^{a+b}$ here:

$\begin{aligned}
 M - P &= \pm e^{-kt - C} \\
M - P &= \pm e^{- C - kt} \\ 
M - P &= \pm e^{- C + (- kt)} \\ 
M - P &= \pm e^{- C} \cdot e^{- kt} \\ 
M - P &= Ke^{- kt} && (\text{\footnotesize Let $K = \pm e^{-kt}$ }) \\ 
M &= Ke^{- kt} + P\\
P &= M - Ke^{- kt}
\end{aligned}$

If we assume that P(0) = 0, then set t = 0 and P = 0

$\begin{aligned} 
0 &= M - Ke^{- k\cdot 0} \\
0 &= M - K \cdot 1 \\
M &= K
 \end{aligned}
$

Substituting into our original equation, we get our final answer of

$P = M - Me^{-kt}$

6 0

4 years ago

Read 2 more answers

FABM 2 Can someone help

Andrews [41]

Answer:

4444444

Step-by-step explanation:

sorry not that smart ok

7 0

3 years ago