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3 years ago

Someone please help me with this, it’s due tomorroww I need someone experttt

Mathematics

1 answer:

Doss [256]3 years ago

6 0

Answer: 59 minutes

Step-by-step explanation:

We would apply the formula,

y = ab^t

Where

a represents the initial amount of bacteria.

t represents the doubling time.

From the information given

a = 10000000

t = 20 minutes

Since after 20 minutes, the population doubles, then

y = 2 × 10000000 = 20000000

Therefore

20000000 = 10000000 × b^20

2 = b^20

Raising both sides of the equation by 1/20, it becomes

2^(1/20) = b

The equation becomes

y = 10000000 × 2^(1/20)×t

y = 10000000 × 2^(t/20)

Therefore, the time it will take to get to 67 million microbes would be

67000000 = 10000000 × 2^(t/20)

67000000/10000000 = 2^(t/20)

6.7 = 2^(t/20)

6.7 = 2^(0.05t)

Taking log to base 10 of both sides, it becomes

Log 6.7 = 0.05t log 2

0.826 = 0.05t × 0.301

0.01505t = 0.826

t = 0.826/0.01505

t = 54.88

t = 59 minutes

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5.) is ordering roses from a flower store. Each rose costs $0.75 plus $3.00

ELEN [110]

Answer:

He can buy 24 roses

Step-by-step explanation:

First, we subtract 3 from 21 to get 18. After that to get the price of each rose, we divide 21 by 0.75 to get 24.

5 0

3 years ago

Read 2 more answers

If the denominator of 5/7 is increased by a number and the numerator is doubled, the result is 1. Find the number.

iren2701 [21]

Answer:

Step-by-step explanation:

let n be the number, then

$\frac{10}{7+n}$ = 1 ← multiply both sides by 7 + n

10 = 7 + n ( subtract 7 from both sides )

3 = n

6 0

3 years ago

I need help finding angle measure MON

coldgirl [10]

<MON and <MPN are complementary angles
So their sum is 90°

Let <MON=x

ATQ

$\\ \tt\hookrightarrow x+37=90$

$\\ \tt\hookrightarrow x=90-37$

$\\ \tt\hookrightarrow x=53$

8 0

3 years ago

What is each power of i with its multiplicative inverse.

pentagon [3]

Answer:

1) multiplicative inverse of i = -i

2) Multiplicative inverse of i^2 = -1

3) Multiplicative inverse of i^3 = i

4) Multiplicative inverse of i^4 = 1

Step-by-step explanation:

We have to find multiplicative inverse of each of the following.

1) i

The multiplicative inverse is 1/i

if i is in the denominator we find their conjugate

$=1/i * i/i\\=i/i^2\\=We\,\, know\,\, that\,\, i^2 = -1\\=i/(-1)\\= -i$

So, multiplicative inverse of i = -i

2) i^2

The multiplicative inverse is 1/i^2

We know that i^2 = -1

1/-1 = -1

so, Multiplicative inverse of i^2 = -1

3) i^3

The multiplicative inverse is 1/i^3

We know that i^2 = -1

and i^3 = i.i^2

$1/i^3\\=1/i.i^2 \\=1/i(-1)\\=-1/i * i/i\\=-i/i^2\\= -i/-1\\= i$

so, Multiplicative inverse of i^3 = i

4) i^4

The multiplicative inverse is 1/i^4

We know that i^2 = -1

and i^4 = i^2.i^2

$=1/i^2.i^2\\=1/(-1)(-1)\\=1/1\\=1$

so, Multiplicative inverse of i^4 = 1

3 0

3 years ago

Need an answer, please need an answer, please

dusya [7]

Answer:

Step-by-step explanation:

1) 6 and -5

x₁ + x₂ = 6 +(-5) = 1

x₁* x₂ = 6*(-5) = -30

x² -(x₁ + x₂)x + (x₁* x₂)=0

x² - x - 30 = 0

2) 4 and 7

x₁ + x₂ =4 + 7 = 11

x₁* x₂ = 4*7 = 28

x² - 11x + 28 = 0

3) 1 and -10

x₁ + x₂ = 1 +(-10) = -9

x₁* x₂ = 1*(-10) = -10

x² - 9x - 10 = 0

4) -9 and 0

x₁ + x₂ = -9 + 0 = -9

x₁* x₂ = 0

x² - (-9)x = 0

x² + 9x = 0

5)2 and 6

x₁ + x₂ = 2 + 6 = 8

x₁* x₂ = 2*6 = 12

x² -8x + 12 = 0

8) 2 +√3 and 2 - √3

x₁ + x₂ = 2+ √3 + 2 - √3 = 4

x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1

x² - 4x + 1 = 0

7 0

3 years ago