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Vera_Pavlovna [14]
3 years ago
5

A type of bacteria in a Petri dish doulbles every hour. If there were 1,073,741,824 bacteria after 24 hours, how many were there

to start with?
Mathematics
1 answer:
Leviafan [203]3 years ago
7 0
It multiply in a Geometric Progression
1st Term=a= ?
common ratio= r= 2
last term=l= 1073741824
no. of terms in GP= 25

1073741824= a*r^n-1
1073741824= 2^24 * a
a= 1073741824/ 2^24
a=64 bacteria
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A radius is a segment that connects any pount on the circle to the center of that circle
Eddi Din [679]

Answer:

This is true.

Step-by-step explanation:

No matter where you put the dot on the circumference, the radius will connect to the center, and be the same distance.

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3 years ago
WHAT IS THE ANSWER PLS!
spin [16.1K]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Brianna's gross annual salary is $50,676. What is the recommended maximum monthly rent she should pay?
ANEK [815]

Answer with explanation:

Gross Annual Salary of Brianna's= $ 50,676

Monthly Salary of Brianna's

          =\frac{50676}{12}\\\\=4223$

We will use \frac{28}{36} rule here,which states that, 28% of monthly income should be used for housing expenditures,and 36 % of monthly income should be used for paying Debt or Debt Purposes.

So, Maximum Monthly Rent that Brianna can pay

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Option C: $ 1182

8 0
3 years ago
What is the solution of the system? Use elimination.
sweet [91]

Answer:

The solutions to the system of the equations by the elimination method will be:

x=2,\:z=-1,\:y=2

Step-by-step explanation:

Given the system of the equations

2x\:+\:2y\:+z\:=\:7

-x-\:y\:+z\:=\:-5

x+3y-4z=12

solving the system of the equations by the elimination method

\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}

\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10

\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}

-2x-2y+2z=-10

+

\underline{2x+2y+z=7}

3z=-3

\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}

2x+6y-8z=24

-

\underline{2x+2y+z=7}

4y-9z=17

\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}

Rearranging the equations

\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}

solve 3z=-3 for z:

z=-1

\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1

solve  4y-9\left(-1\right)=17 for y:

4y-9\left(-1\right)=17

4y+9=17

4y=8

y=2

\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2

solve 2x+2\cdot \:2-1=7 for x:

2x+2\cdot \:2-1=7

2x+3=7

2x=4

x=2

Therefore, the solutions to the system of the equations by the elimination method will be:

x=2,\:z=-1,\:y=2

5 0
3 years ago
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miskamm [114]

Answer:

To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.

So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.

now you can calculate the answers yourself!

To convert decimal into binary, you can use the following approach:

Write down the answer from right to left

A. if your number is odd, write down a 1, if it is even, write a 0

B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)

C. repeat step A until your number is 0.

example:

18 -> write down 0

18/2 = 9 -> write down 1

9/2 = 4 -> write down 0

4/2 = 2 -> write down 0

2/2 = 1 -> write down 1

1/2 = 0 finished

The result is 10010.

4 0
3 years ago
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