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faltersainse [42]
3 years ago
7

The sequence below follows the Fibonacci rule.

Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer:

89

Step-by-step explanation:

8, 13,

8+13= 21

13+21 =34

21+34=55

34+55=89

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A circle has a radius of 8.25 feet. To the nearest square foot, what is the area of the circle?
Natali [406]

Answer: 214 ft^2

Step-by-step explanation:

A=πr^2

3.14(8.25)^2

3.14(68.0625)

213.71625

rounded to the nearest square foot: 214

7 0
3 years ago
How do i find LM? On number 2 .
svetoff [14.1K]
You have to multiply it all and get the answer

3 0
3 years ago
How to write 8 21/40 as a decimal
timofeeve [1]
8 \frac{21}{40}   ~~ =\ \textgreater \ ~~   \frac{8*40+21}{40}    ~~ =\ \textgreater \ ~~   \frac{341}{40}    ~~ =\ \textgreater \ ~~  8.525
6 0
3 years ago
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
loris [4]

Answer:

a) dm/dt = 0.2m

b) ln(m) = 0.2t + A

c) ln(m) = 0.2t + ln(20) - 0.6

d) 11 grams

Step-by-step explanation:

a) dm/dt = 0.2m

b) dm/m = 0.2dt

ln(m) = 0.2t + A

c) At t = 3, dm/dt = 4

dm/dt = 0.2m

4 = 0.2m

m = 4/0.2 = 20

So, when t = 3, m = 20

ln(20) =0.2(3) + A

A = ln(20) - 0.6

ln(m) = 0.2t + ln(20) - 0.6

d) find m when t=0

ln(m) = 0.2(0) + ln(20) - 0.6

ln(m) = ln(20) - 0.6

ln(m) = 2.3957322736

m = e^2.3957322736

m = 10.9762327224

m = 11

8 0
3 years ago
Solve the given system of equations utilizing either the substitution or addition method.
Nataly [62]

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}

Solving using substitution method:

Let:

5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)

Find value of x from eq(1) and put in eq(2)

5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}

Put value of x in eq(2)

\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20}  =\frac{37}{4}\\\frac{42-18y-15y}{20}  =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}

Now, finding value of x by putting value of y in eq(1)

x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4

So, Value of x=4 and y=-13/3

4 0
3 years ago
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