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Ahat [919]
3 years ago
13

0.3(n-5)=0.4-0.2 solve for n!

Mathematics
1 answer:
mariarad [96]3 years ago
4 0

Answer:

n = 5.67

Step-by-step explanation:

0.3(n-5)=0.4-0.2

0.3(n-5) = 0.2

Dividing 0.3 both side

\frac{0.3(n-5) }{0.3}  = \frac{0.2}{0.3}

n-5 = 0.67

n = 0.67+5

n = 5.67

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8 0
3 years ago
What is the system of equations for 2x + 2y = 10 and 5x - 2y=4?
vagabundo [1.1K]

2x  + 2y = 10 \\ 5x - 2y = 4 \\  7x = 14 \\ x = 2 \\  \\ 2(2) + 2y = 10 \\ 4 + 2y = 10 \\ 2y = 6 \\ y = 3
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8 0
2 years ago
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Which expression is equivalent to (sqrt3 + i)^3?
Anarel [89]

Express √3 + i in polar form:

|√3 + i| = √((√3)² + 1²) = √4 = 2

arg(√3 + i) = arctan(1/√3) = π/6

Then

√3 + i = 2 (cos(π/6) + i sin(π/6))

By DeMoivre's theorem,

(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³

… = 2³ (cos(3 • π/6) + i sin(3 • π/6))

… = 8 (cos(π/2) + i sin(π/2))

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4 0
2 years ago
A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16
bixtya [17]

Answer:

6,430\ bacteria

Step-by-step explanation:

we have a exponential function of the form

y=a(1+r)^{x}

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

y=3,000(1+r)^{x}

For x=2, y=3,300

substitute

3,300=3,000(1+r)^{2}

(3,300/3,000)=(1+r)^{2}

Apply square root both sides

1+r=\sqrt{3.3/3}

r=\sqrt{3.3/3}-1

r=0.0488

r=4.88\%

substitute in the equation

y=3,000(1+0.0488)^{x}

y=3,000(1.0488)^{x}

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

y=3,000(1.0488)^{16}

y=6,430\ bacteria

6 0
3 years ago
The sum of 4 twelves and 7 sixteens
dolphi86 [110]

Answer: 160

Step-by-step explanation:

So here they are telling you that there are 4 twelves, a.k.a 4 groups of 12. Which means that you have to multiply 4 x 12 = 48

Then there are 7 sixteens, a.k.a 7 groups of 16.

Which also means that you have to multiply 7 x 16 = 112

Add both numbers and there you have your answer!

I hope you found my answer helpful! :)

8 0
3 years ago
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