In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 23 hours. How long would it be, to
the nearest tenth of an hour, until there are 10500 bacteria present?

Answers

Answer 1

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7


Related Questions

Express the quotient as a fraction in simplest form. -5-7 divided by 6/7

Answers

Answer:

a) -5/6

Step-by-step explanation:

[tex] - \frac{5}{7} \div \frac{6}{7} [/tex]

keep, change, flip

[tex] - \frac{5}{7} \times \frac{7}{6} [/tex]

[tex] - \frac{35}{42} [/tex]

simplify

35 ÷7=5

42÷7= 6

A student earned a grade of 82% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)

Answers

Answer:  16

Work Shown:

82% of 20 = 0.82*20 = 16.4 which rounds to 16

evaluate the expression for the given value of x.
0.8x+5.4 for x= -3​

Answers

Answer:

3.0

Step-by-step explanation:

0.8 times -3 = -2.4

5.4-2.4=3.0

So the answer is 3.0

Find the equation of the line. Use exact numbers. y =__ x +__​

Answers

EXPLAIN:

Ex:  the line is:  y = ax + b

The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )

So: [tex]\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.[/tex]

The line: y = x - 5 = (1)x + (-5)

ANSWER: y = (1)x + (-5)

ok done. Thank to me :>

Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?

Answers

First find a common denominator so how can you change 4 and 8 to be the same, multiply 4 by 2 and what you do to the bottom you have to do to the top. You should get 6/8. So, usually you would change the mixed number to an improper fraction but for this problem you don’t need to. Now you would subtract 1 7/8 -6/8 and that would be 1 1/8. Sometimes you need to simply you final answer but right now it’s already at the lowest it can go. Answer : 1 1/8 Hope this helped :)

Why is it helpful to use the rational zero theorem in finding the zeros of polynomial function? Explain your answer.

Answers

Answer:

The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

Hope that helps.

Answer:

Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.

Step-by-step explanation:

i hope it helpful:)

Solve: x ÷ 0.6 = 8.9



5.34



9.5



8.3



0.07

Answers

Answer:

5.34

Step-by-step explanation:

x = 8.9 X 0.6

x = 5.34

Your welcome :)

Rosy went to the shoe store and counted 324 pairs of shoes. She went to another shoe store and counted 236 pairs. How many shoes did Rosy count in total.

Answers

Answer:

560

Step-by-step explanation:

Rosie counts 324 + 236 shoes

Let's start by separating each number into hundreds, tens, and ones

300, 20, 4

200, 30, 6

Then, we can add up each section

300 + 200 = 500

20 + 30 = 50

4 + 6 = 10

Finally, we can add up the sections

500 + 50 + 10 = 560

Please help question in pic

Answers

Answer:  

O = (1,-1)

N = (1,-2)

M = (3,-2)

L = (3,-1)

Step-by-step explanation:

a) write 63 as the product of prime numbers.
write the prime numbers is ascending order.

b) work out the highest common factor of 63 and 105.

Answers

63 as the product of prime numbers is 3 x 3 x 7.

The highest common factor of 63 and 105 is 21.

Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.

Factors of 63 are: 1, 3, 7, 9, 21, and 63

Prime numbers that are products of 63 = 3 x 3 x 7

The factor of a number is a number that can divide another number without leaving any remainder.

Factors of 63 =  1, 3, 7, 9, 21, and 63 Factors of 105 =  1, 3, 5, 7, 15, 21, 35 and 105.Common factors = 1, 3, 7, 21 Highest common factor = 21

To learn more about prime numbers, please check: https://brainly.com/question/4184435

help we don’t know the answer

Answers

Hey I don’t get this

30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.

Answers

Using the Central Limit Theorem, it is found that the correct option is:

B) The random sample of 15 meerkats should be close to 5.2 years-old.

The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].

The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475

Answer:

its b

Step-by-step explanation:

on usatp

Which of the following expressions is equivalent to.

Answers

Answer:

the answer is this hope it helps

A 12-ounce box of fruit loops is on sale for $2.88, What is the unit cost (what is the price per ounce)

Answers

Answer:

$0.24

Step-by-step explanation:

the working out would look something like this:

ounces dollars

12 : 2.88

duvide both by 12 to find 1 ounce

1 : 0.24

the price per ounce would be $0.24

hopefully this helps :)

Sarah has only $180 to spend on her birthday party. If she had to pay $100 for the room and each guest cost $6
for food, how many people can she invite without going over her budget?

Answers

Answer:

She can invite 13 people.

Step-by-step explanation:

Because Sarah has to pay $100 for the room, we can subtract.

$180-$100=$80.

Now that she has $80 left, we can see how many times $6 can go into $80.

$6x14=84.

This number is four more than $80, so Sarah can not invite 14 people.

But, if we do $6x13, we get $78.

$78 does not past $80 and is really close, Sarah can invite 13 people.

Final Answer: Sarah can invite 13 people without going over her budget.

I hope this helps and have a wonderful day! ;0

Answer:

13

Step-by-step explanation:

180-100 = 80

80 divided by 6 = 13.333

$200 at 15.5% for 2 years

Answers

15.5 I believe but don’t hold me to it!

Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.

Answers

The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

We have to determine

Which expression finds the measure of an angle that is coterminal with a 45° angle?

According to the question,

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

A coterminal with 45° is 45°+k°360° with k as an integer.

Then,

The coterminal angle with 45°,

When k = 0

Then,

[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]

When k = 1

Then,

[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]

When k = -1

Then,

[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]

Hence, The measure of an angle that is coterminal with a 45A°+360A°.

For more details about the Coterminal angle refer to the link given below.

https://brainly.com/question/12378421

Write the equation of the line with a slope of 2 and passes throug the point (4, 3).
Answer can be in either slope-intercept
form or point-slope
form

Answers

Answer:

y=2x-5

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=2(x-4)

y-3=2x-8

y=2x-8+3

y=2x-5

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as the Brainliest. Thank you.


3. A rock is lying on a rock ledge that is 3 m high. The rock as 120 J of potential energy.
What is the mass of the rock?

Answers

Answer:

For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

Step-by-step explanation:

Find 3 other points for this equation ( please help!! ) not bots.

Answers

Answer:

(0,6), (1,7), (2,8)

Step-by-step explanation:

Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?​

Answers

Answer:

According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.

Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.

Thus, the measure of angle C is 95 degrees.

Write the equation of a line that is parallel towards y = -6x +5

Answers

Answer:

y=-6x-4

Step-by-step explanation:

Any linear equation that has the slope of -6 is parallel to y=-6x+5

The angle DEF has measure 75*. What type of angle is it?

Answers

Answer:

Acute angle

Step-by-step explanation:

Angles smaller than 90 degrees are acute

hope it helps :)

box and whisker plots please help!

Answers

The correct answer is D. 100%
Each tick counts as 8 so the beginning of the plot would be at 28 which is only 2 from 30 and everything else is on the plot is greater than 30 so the answer would have to be D since 75% would be too little coverage of the plot

2x+5(x+1) = -8;

Can someone help me solve this problem step by step please?

Answers

Answer:

-13/7

Step-by-step explanation:

2x+5(x+1)=-8

2x+5x+5=-8

7x+5=-8

7x=-8-5

7x=-13

7x/7=-13/7

x=-13/7

Answer:

x = -13/7

Step-by-step explanation:

2x+5(x+1) = -8

2x+5x+5 = -8

7x+5 = -8

7x = -8-5

7x = -13

x = -13/7

Pls explain how to solve it! (Will mark brainylist)

Answers

4d I think it is right hope that helps

The formula for determining the frequency, f, of a note on a piano is mc016-1. Jpg, where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C? 29. 3% 41. 4% 70. 7% 182. 3%.

Answers

Answ

its a just did this

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

will mark brainleist

Answers

Answer:

x=5.834729, rounded down to 5.83

Which expression is equivalent to 24x+18y

A- 6 (4x) + 3 (6y)
B- 2 (12x) + 2 (6y)
C- 12x+ 12x + 12y+ 12y
D-6y + 6x + 6y + 6x + 6y

Answers

Answer:

A- 6 (4x) + 3 (6y)

Step-by-step explanation:

6 (4x) + 3 (6y) equals 24x+18y

helppp meeee and answer pleaseeeeeeee

Answers

Answer:

13.6 and .4

Step-by-step explanation:

3.4x4=13.6

leaving .4 left

Answer:

4 and 2 berries left over.

Step-by-step explanation:

14 divided by 3 = 4

4x3=12

14-12=2

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