All categories

1 year ago

Please help me.. there is a image

Mathematics

2 answers:

Klio2033 [76]1 year ago

5 0

Answer: 2 and 4

Step-by-step explanation: They both have 3 x's

podryga [215]1 year ago

4 0

Answer:

Okay the mode means the most repeating number.

So if you write this all out:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4

You can now see that 3 is the most repeating number.

So 3 is the mode.

Step-by-step explanation:

Hope this helps!

From your neighborhood softie :)

You might be interested in

Find the missing angles .

Kamila [148]

Answer:

f=60 , c=30

Step-by-step explanation:

there are 2f and 2c in the graph and f=2c

f+f+c+c=180

2c+2c+c+c=180

6c=180

c=180/6

c=30

f=2c

f=2×30

f=60

5 0

2 years ago

What is 50/8 in simplest form ??

Maru [420]

50/8 can be simplified by dividing top and bottom by 2, getting 25/4. this is also equal to 6 and 1/4

4 0

2 years ago

Y+3=7(x-2) in standard form

uysha [10]

7x- y = 17 is the standard form

4 0

2 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

3 years ago

Read 2 more answers

Directions: Factor<br> 15x2 – 25x - 40

Delvig [45]

5(x + 1) (3x - 8)

Hope this helps!

7 0

2 years ago