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Natalija [7]
4 years ago
5

In order for the economy to be strong, businesses must _____.

Mathematics
1 answer:
mafiozo [28]4 years ago
7 0
<span>In order for the economy to be strong, businesses must </span>legit? As in legal?
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Urgent please help!!!!!!!!!!
zhenek [66]

Answer:

The correct answer is B, the second option

Step-by-step explanation:

(-2, 5/3)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

7 0
2 years ago
Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make
Ivahew [28]
The answer is B) 15.
I hope this helps.
8 0
3 years ago
Read 2 more answers
A tank contains 1080 L of pure water. Solution that contains 0.07 kg of sugar per liter enters the tank at the rate 7 L/min, and
allsm [11]

(a) Let A(t) denote the amount of sugar in the tank at time t. The tank starts with only pure water, so \boxed{A(0)=0}.

(b) Sugar flows in at a rate of

(0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min

and flows out at a rate of

(<em>A(t)</em>/1080 kg/L) * (7 L/min) = 7<em>A(t)</em>/1080 kg/min

so that the net rate of change of A(t) is governed by the ODE,

\dfrac{\mathrm dA(t)}[\mathrm dt}=\dfrac{49}{100}-\dfrac{7A(t)}{1080}

or

A'(t)+\dfrac7{1080}A(t)=\dfrac{49}{100}

Multiply both sides by the integrating factor e^{7t/1080} to condense the left side into the derivative of a product:

e^{\frac{7t}{1080}}A'(t)+\dfrac7{1080}e^{\frac{7t}{1080}}A(t)=\dfrac{49}{100}e^{\frac{7t}{1080}}

\left(e^{\frac{7t}{1080}}A(t)\right)'=\dfrac{49}{100}e^{\frac{7t}{1080}}

Integrate both sides:

e^{\frac{7t}{1080}}A(t)=\displaystyle\frac{49}{100}\int e^{\frac{7t}{1080}}\,\mathrm dt

e^{\frac{7t}{1080}}A(t)=\dfrac{378}5e^{\frac{7t}{1080}}+C

Solve for A(t):

A(t)=\dfrac{378}5+Ce^{-\frac{7t}{1080}}

Given that A(0)=0, we find

0=\dfrac{378}5+C\implies C=-\dfrac{378}5

so that the amount of sugar at any time t is

\boxed{A(t)=\dfrac{378}5\left(1-e^{-\frac{7t}{1080}}\right)}

(c) As t\to\infty, the exponential term converges to 0 and we're left with

\displaystyle\lim_{t\to\infty}A(t)=\frac{378}5

or 75.6 kg of sugar.

7 0
3 years ago
Find the maximum and minimum value of:<br><br> 1/X plus 3x<br><br>root X plus root (4-x)​
Eddi Din [679]
Evet hocam proje konularını da bir bir insan değilim ki bir uyu bir insan bir arar bir insan bir şey var
7 0
3 years ago
1.)Given the recursive definition LaTeX: a_{n+1}=2\cdot a_n+1a n + 1 = 2 ⋅ a n + 1, and that LaTeX: a_1=1a 1 = 1, find LaTeX: a_
aksik [14]

Answer:

1) 1023

2) 8

Step-by-step explanation:

1)

Given:

a_{n+1}=2\cdot a_n + 1 and a_1 = 1

Then,  the next table can be computed (only the first terms are explicitely shown)

n      a_n

1       1

2      a_{2}=2\cdot 1 + 1 = 3

3      a_{3}=2\cdot 3 + 1 =7

4      15

5      31

6      63

7      127

8      255

9      511

10     1023

2)

Given

t_n=n^2-2n

Then,  the next table can be computed

n      t_n

1       t_1=1^2-2(1) =-1

2      t_2=2^2-2(2) =0

3      t_3=3^2-2(3) =3

4      t_4=4^2-2(4) =8

4 0
3 years ago
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