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Nataliya [291]
2 years ago
14

What number comes next in the sequence? 1, 1, 2, 3, 5, 8, 13, 21, 34, ?

Mathematics
1 answer:
Vitek1552 [10]2 years ago
3 0

Answer:

55

Step-by-step explanation:

1+1 = 2

1+2 = 3

2+3 = 5

3+5 = 8

5+8 = 13

8+13 = 21

13+21 = 34

21 +34 = 55

PLEASE GIVE BRAINLIEST

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Expand and simplify 3(x-2) + 2(4x-1)
Zanzabum

Answer:

11x-8

Step-by-step explanation:

3(x - 2) + 2(4x - 1) \\ multiply \: inside \: the \: bracket \\ 3x - 6 + 8x - 2 \\ 11x - 8

3 0
1 year ago
A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t
Licemer1 [7]
If A(t) is the amount of salt in the tank at time t, then the rate at which this amount changes over time is given by the ODE

A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}

A'(t)+\dfrac1{100}A(t)=15

We're told that the tank initially starts with no salt in the water, so A(0)=0.

Multiply both sides by an integrating factor, e^{t/100}:

e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}
\left(e^{t/100}A(t)\right)'=15e^{t/100}
e^{t/100}A(t)=1500e^{t/100}+C
A(t)=1500+Ce^{-t/100}

Since A(0)=0, we have

0=1500+C\implies C=-1500

so that the amount of salt in the tank over time is given by

A(t)=1500(1-e^{-t/100})

After 10 minutes, the amount of salt in the tank is

A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}
8 0
3 years ago
#20 please help me with this Austin’s and an explanation please
s344n2d4d5 [400]

Answer:

10 2/15 hours

Step-by-step explanation:

If we have a candle that is 11 2/5 inches tall

It burns 1 1/8 inches per hour.  We need to divide to see how long the candle will last

11 2/5 ÷ 1 1/8

I will convert the mixed numbers to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷ 9/8

Copy dot flip

57/5 * 8/9

456/45

Now we change it back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

This simplifies to 10 2/15

6 0
3 years ago
At grocery mart strawberries cost$2.99 four 2lbs and at Baldwin Hills market strawberries are $3.99 for 3 lbs what is the unit p
marishachu [46]
At the Grocery mart the strawberries cost $1.49 per lb. At Baldwin Hills market the strawberries code $1.33 per lb
3 0
3 years ago
Please answer the question correctly, no work needed. Thanks
fgiga [73]
2000 x 6 / 100 = 120
120 x $1.2 = $144

$144/ 3 = $48

answer
$48 for each person
3 0
3 years ago
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