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3 years ago

In the diagram below, AB is parallel to CD. What is the value of x?

Mathematics

1 answer:

grigory [225]3 years ago

3 0

Answer:

Step-by-step explanation:

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Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to

Fed [463]

Answer:

$\large \boxed{\text{0.0462 min}^{-1}}$

Step-by-step explanation:

One formula for the reproduction of bacteria is

$\dfrac{N}{N_{0}} = e^{kt}$

Data:

N = 2

N₀ = 1

t = 15 min

Calculation:

$\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}$

6 0

4 years ago

Find the value of y for the given value of x. Round to the nearest hundredth. y = 15 + 3 ln x; x = 7.2

Nikolay [14]

Answer:

y = 20.922

Step-by-step explanation:

Simply plug in <em>x</em> and evaluate:

y = 15 + 3ln(7.2)

Only way to calculate ln is to plug into a calc:

We should get 20.9222 as our answer.

7 0

3 years ago

After graduating you have two job opportunities. Job A is offering a salary of $32,000 with annual raises of $1,500. Job B offer

worty [1.4K]

Step-by-step explanation:

are you hiring now , thats a big amount , pls give ur contact no. i will send my cv

5 0

3 years ago

In the accompanying diagram of parallelogram ABCD,diagonals AC and DB intersect at E, AE = 3x - 4, andEC = x + 12.What is the va

skelet666 [1.2K]

x = 8

Explanation:

AE = 3x - 4

EC = x + 12

SInce diagonals AC and DB intersect at E

it means the lines which meet at the intersection E are equal. A and C meet at E which gives AE and EC

AE = EC

3x - 4 = x + 12

collect like terms:

3x - x = 12 + 4

2x = 16

divide both sides by 2:

2x/2 = 16/2

x = 8

4 0

1 year ago

Jon borrows $4.50 from his friends to pay for his snacks, and $13.65 from his sister to go to the movies. How much money does he

yarga [219]

Answer: $18.15

Step-by-step explanation:

$ 4.50 + $13.65 = total amount due

4 0

3 years ago