First, let's write down this inequality:
<span>There are at least 245 students enrolled in the school.

y≥245

This inequality says what the sentence says!

now, the number of teachers must be:
x≥2*(y/25)
(two times the number of groups of students of 25!)

so those two inequalities, taken together will be the answer!
</span>

6 0

3 years ago

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Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volt

ser-zykov [4K]

Answer:

$I(t)=\frac{1}{3}(1-e^{-30t})$

Step-by-step explanation:

We are given that

$\frac{dI}{dt}+\frac{R}{L}I=\frac{V(t)}{L}$

R=150 ohm

L=5 H

V(t)=10 V

$P=\frac{R}{L}=\frac{150}{5}=30$

$I.F=e^{\int Pdt}=e^{\int 30 dt}=e^{30 t}$

$I(t)\times I.F=\int e^{30 t}\times 10 dt+C$

$I(t)\times e^{30 t}=\frac{10}{30}e^{30 t}+C$

$I(t)=\frac{1}{3}+Ce^{-30 t}$

I(0)=0

Substitute t=0

$0=\frac{1}{3}+C$

$C=-\frac{1}{3}$

Substitute the values

$I(t)=\frac{1}{3}-\frac{1}{3}e^{-30 t}$

$I(t)=\frac{1}{3}(1-e^{-30t})$

5 0

4 years ago

One million three hund forty five thousand eight hundred and twenty in expanded form

vesna_86 [32]

1000000 + 300,000 + 40,000 + 5,000 + 800 + 20

3 0

4 years ago

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45 points! Please help me ASAP!

zlopas [31]

2 times 10^4 means 2 with 4 zeroes after it or 20000
4 times 10^6=4 with 6 zeros after it or 400000

compare

20000 and 4000000
we can see that 4000000 is 200 times of 20000
therefor the answer is C

we can also do
(4 times 10^6)/(2 times 10^4)=4/2 times (10^6)/(10^4)=2 times 10^2=200

answer is C

8 0

3 years ago

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