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3 years ago

What is 945-89x587÷2

Mathematics

2 answers:

andriy [413]3 years ago

6 0

Answer:-25176.5

Step-by-step explanation:

Over [174]3 years ago

4 0

Answer:

-25176.5

Step-by-step explanation:

Use PEMDAS

First 89 x 587

that divide that by 2

then subtract 945

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Order from least to greatest

Orlov [11]

Answer:
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>;

Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
___________________________________
Explanation:

0.25 = ¼ l (less than "1"); the lowest of the three given values.

The remaining two values have the same whole number of 3, and a fraction:
3 <span>⅖ ;</span> and 3 ⅜.

The least common multiples among the denominators of the fraction values is 40. ⅖ = ?/40 ; 5*? =40? 5* 8 = 40, so 2*8 = 16;
Thus, ⅖ = 16/40, and 3 ⅖ = 3 16/40. 3/8 = ?/40? 8*5 =40; so 3*5 = 15 ; thus ⅜ = 15/40; and
and 3 ⅜ = 3 15/40.
3 15/40 is less than than 3 16/40;
as such; 3 ⅜ is less than 3 ⅖.

So, in order from least to greatest: 0.25, 3 ⅜, 3 ⅖;
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .

7 0

3 years ago

Which inequality is represented by this graph?

ohaa [14]

Answer:

Step-by-step explanation:

The line is solid, so eliminate A and D.

Also, the line is shaded below, so this eliminates C.

6 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

What is the equation of the line of reflection that maps

Usimov [2.4K]

Answer:

y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Consider the corresponding vertices

A(- 1, - 1 ) → A'(1, - 1 )

B(- 2, - 1 ) → B'(2, - 1 )

C(- 2, - 4) → C'(2, - 4 )

These coordinates satisfy the condition for reflection in the y- axis

8 0

3 years ago

Read 2 more answers

What reclusive formula can be used to represent the sequence 2, 6, 10, 14, 18

kaheart [24]

Answer:

a(n) = a(n-1) + 4

Step-by-step explanation:

a(1) = 2 The first term is 2

a(n) = a(n-1) + 4 We add 4 to the previous term or n-1

So, we get...

a(n) = a(n-1) + 4

a(1) = 2

a(2) = a(2-1) + 4 2(1) +4 = 6

a(3) = a(3-1) +4 3(2) + 4 = 10

and so on and so forth. I hope this helps.

7 0

3 years ago