A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133

Answers

Answer 1

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17


Related Questions

find the value of x?

Answers

Answer:

30

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+34 +116 = 180

Combine like terms

x+150 = 180

Subtract 150 from each side

x+150-150 = 180-150

x = 30

using the angle sum property of triangle.

According to this, sum of all angles of a triangle is equal to 180°

x° + 116° + 34° = 180°

x° + 150° = 180°

x° = 180° - 150°

x° = 30°

What is the measure of ∠D to the nearest degree?

Answers

Answer:

Option A. 47°

Step-by-step explanation:

In the given triangle as per sine rule

sin F/DE = sin D/54

sin 71/70 = sin D/54

sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729

Therefore Option A. angle D = 47° is the answer.

Any smart people know this i’m not smart

Answers

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation:




Divide £2680 in the ratio 5:3:2.

Answers

Answer:

Step-by-step explanation:

1) find the total of the ratio parts

5 + 3 + 2 = 10 parts in total

2) divide the total by the amount

2680/10 = 268

3) multiply to find the specific ratios

5 * 268 = 1340

3 * 268 = 804

2 *268 = 536

The division of the number £2680 in the ratio 5:3:2 will be 1340, 804, and 536 respectively

What are ratios and proportions?

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

Given that the number is £2680 and the ratio in which the number will be distributed is 5:3:2.

The number will be distributed as below:-

5 + 3 + 2 = 10 parts in total

Divide the total by the amount

2680/10 = 268

3) multiply to find the specific ratios

5 x 268 = 1340

3 x 268 = 804

2 x 268 = 536

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Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month. Which inequality below models this situation? A 12.50n +22.50b≥80012.50n\ +22.50b\geq 80012.50n +22.50b≥800 B 12.50b+22.50n≤80012.50b+22.50n\leq 80012.50b+22.50n≤800 C 12.50b+22.50n≥80012.50b+22.50n\geq 80012.50b+22.50n≥800 D 12.50n+22.50b≤80012.50n+22.50b\leq 80012.50n+22.50b≤800

Answers

Answer:

C 12.50b+22.50n≥800

Step-by-step explanation:

Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month.

When we use the word at least in Mathematics is means that it is equal to or more than $800.

It is represented by the symbol ≥

Number of bracelets = b

Number of necklaces = n

Therefore, the inequality below models this situation is given as:

$12.50 × b + $22.50 × n ≥ $800

= 12.50b + 22.50n ≥ 800

Option C is correct.

What does the equation 3 + m = 8 mean?
A
Three plus eight equals m.
B
Three plus m equals eight.
С
m plus eight equals three.
D
Eight equals three m.

Answers

Answer:

The answer is B

- have a good day

B is correct just by following order of operations

50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported

Answers

Answer:

(1, 4)

Step-by-step explanation:

The circumcenter is the intersection of the perpendicular bisectors.

Find the two equations for the perpendicular bisectors and solve the system for intersection point.

Given the vertices A(-4,6), B(6,6), C(6,2)

Find the slope and midpoint of AB and BC

m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segment

M(AB) is

x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6

Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:

x = 1

m(BC) is undefined as x-coordinates are same, so the segment is vertical

M(BC) is

x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4

Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:

y = 4

The intersection of the lines x = 1 and y = 4 is the point (1, 4)

The circumcenter is point (1, 4)

Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º

Answers

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11

Calculate simple interest :
a) P = 2500, rate 8% PA, T = 1 year
b) P = 4200, rate 6% P.A, T = 3 year
Nhen 6 added to a number gives 13​

Answers

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

The dot plot shows the number of pretzels that were in each snack bag made for a party.
Number of Pretzels

How many snack bags were made for the party? Enter your answer in the box.

Answers

The answer is 440
I use a calculator

What's the area of the circle r=1.2 yd plss help

Answers

Answer: 1.44pi

Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)

Sandra uses 2/25 kilogram of cocoa powder in each serving of her famous cocoa drink. She has 1 1/10 kilograms of cocoa powder. How many servings can Sandra make?​

Answers

Answer:

13 servings

Step-by-step explanation:

(11/10) / (2/25)

= 13.75

She can make 13 servings [not enough to make up to 14 servings]

Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 ​ start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals

Answers

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%​

Answers

Answer:

i. 818.18

ii. 940.9

Step-by-step explanation:

SP = 900

or, CP + 10% of CP = 900

or, CP + 10/100 × CP = 900

or, 110CP = 90000

or, CP = 90000/110

CP = 818.18

for profit= 15%

SP = 9000/11 + 15% of 9000/11

= 940.9


Increase £3.20 in the ratio 2:3
Please show your working out (/formulae).​

Answers

Answer:

£4.80

Step-by-step explanation:

Total amount =  £3.20

Ratio = 2 : 3

Old : New = 2 : 3

3.20 : x = 2:3

[tex]\frac{3.20}{x}=\frac{2}{3}\\\\3.20*3=2*x\\\\\frac{3.20*3}{2}=x\\\\x = 1.60 *3\\[/tex]

x = £ 4.80

The graph shows a line and two similar triangles.

What is the equation of the line?

A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x​

Answers

Answer:

a y=3/2× Pls help me do me one

a

Of the males surveyed, what proportion selected small T-Shirt size

Answers

Answer:

this question doesn't make sense

A Traveller changed EC $1800 to Barbados currency. Calculate the amount received

Answers

Answer:

1350 bajan dollar

Step-by-step explanation:

The exchange rate of EC dollar to Barbados currency is

1 EC dollar = 0.75 Barbados currency

EC $1800 in Barbados currency = EC $1800 x 0.75 = 1350 bajan dollar

The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?

Answers

*see attachment for diagram

Answer:

x = 20.5 in.

Step-by-step explanation:

What we are requested to find is the height of the panel/parallelogram = x

Area of each panel = base × height = 287 in.²

Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.

Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3

= (50.5 - 2*4.25) ÷ 3

= 42 ÷ 3

Base length of each panel = 14 in.

✔️Next is to find the height of the panel, x.

area of parallelogram = base × height

Base = 14 in.

height = x

Area = 287 in.²

Plug in the values

287 = 14 × x

287 = 14x

Divide both sides by 14

287/14 = x

20.5 = x

x = 20.5 in.

2x + 3 = 23 steps for x?

Answers

Answer:

x=10

Step-by-step explanation:

work in the photo

Answer:

x=10

Step-by-step explanation:

Subtract 3 from both sides

2x=23-3

Simplify 23-3 to 20

2x=20

Divide both sides by 2  

x=  2 0/2

Simplify 20/2 to 10

x=10

​  

 

A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)

Answers

Answer:

(5,3)

Step-by-step explanation:

I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.

Next I plotted the point (1,3).

Then I counted the spaces between point 1,3 and 3,1 as shown in the picture

Finally I graphed the point and connected the lines to make sure it looked like a parabola.

If 4/3 of water is enough to water 2/5 of plants , how much water is needed to water all plants ....Please add an explanation .

Answers

Answer:

10 by 3

Step-by-step explanation:

When 4 by 3 water is sufficient to water 2 by 5 of the plants so the water i.e. required to water all the plants is 10 by 3

As here we multiply both the fractions by reciprocal the second fraction

So the water i.e. needed to water all plants is 10 by 3

please help with my geometry

Answers

Answer: 9.90

Step-by-step explanation:

tan 48= 11/x

1.11=11/x

1.11x=11

x=9.90

the roof of the clock tower is a square pyramid each side of the base is 16 ft the slant height is 22 ft what is lateral area of the roof​

Answers

Answer:

Need more points lang sorry

Which of the following is another way of expressing 4 out of 5

Answers

Answer:

4/5

Step-by-step explanation:

I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.

In other forms like ratio 4:5 ratio 4/5 fractions

hii please help i’ll give brainliest!!

Answers

answer is D because statement mentions about evelyn applying brake to stop the car.

brainliest

it’s D i think it’s D because i have a feeling it’s D.

Circumference = ×What is another way to write this?

Answers

Answer:

2 × pi × radius

..................

please help!
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.

y = 82(1.045)x
part A: What is the rate of growth Michael expects each week after launching the website?

A.
104.5%

B.
95.5%

C.
0.045%

D.
4.5%

Answers

Answer:

D. 4.5%

Step-by-step explanation:

Michael expects the rate of growth to be 4.5% each week  because in the equation inside the parenthesis is 1.045 meaning it has already had 1 added to the original percentage so subtract 1 from 1.045 then move the decimal twice to the right and change it into a percentage sight which will give you 4.5%

the growth rate per week is 4.5% Micheal can expect.

What is rate?

Rate is a measurement to determine the change in one quantity with respect to another quantity.

The given equation is,

y = 82(1.045)x,

Where y represents number of people and x represent number of week.

After 1 week, x=1

y=82×1.045

The multiplying factor is 1.045

It implies that after 1 week growth increase by, 0.045

The percentage value of 0.045 is 4.5%

So the growth rate per week is 4.5%.

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What kind of fraction will you have when the percent is over 100%

Answers

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

110%convert to fraction... [tex]\frac{110}{100}[/tex]simplify... [tex]\frac{11}{10}[/tex]

You can go further by making it a proper fraction but that is beyond the current problem we are solving.

Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.

Answers

Answer: 2

Step-by-step explanation:

Given

In a litter of 10 Puppies, 4 are black i.e.

[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]

In a litter of 5, there would be

[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]

There are 2 black puppies

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