Answer:
370×1850= 6,84,500
and then
56,950+6,84,500=7,41,450
the population will be 7,41,450
The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.
Given:
The population of bacteria, P = 56950,
If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,
So, the no doubles 5 times in 1850 hrs,
Now if it doubles 1 time it will be 56950 × 2, and
for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2
P = 1822400
Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
To know more about multiplication:
https://brainly.com/question/1135170
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If f(x) = 5x^5 + 1, then what is the remainder when f(x) is divided by x + 1?
Answer:
2l
Step-by-step explanation:
hence.f10 divido 8-2
1.) 7x+8=29
2.) 6x+6=36
3.) 7+6x=19
how do you solve these problems?
Answer:
1.) x= 3
2.) x=5
3.) x=2
Step-by-step explanation:
1) 7x+8=29
( -8). 7x=21. (-8)
(÷7). x=3. (÷7)
2). 6x+6=36
6x=30. subtract 6
x=5. divide by 6
3). 7+6x=19
6x+7=19. rearrange it
6x=12. subtract 7
x=2. divide by 6
[tex] \huge\mathbb\red{ANSWER} [/tex]
[tex] \mathsf \purple{7x + 8 = 29}[/tex]
[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]
[tex] \mathsf \purple{7x = 21}[/tex]
[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]
[tex] \mathsf \purple{x = 3}[/tex]
[tex] \mathsf \red{6x + 6 = 36}[/tex]
[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]
[tex] \mathsf \red{6x = 30}[/tex]
[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]
[tex] \mathsf \red{x = 5}[/tex]
[tex] \mathsf \blue{7 + 6x = 19}[/tex]
[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]
[tex] \mathsf \blue{6x = 12}[/tex]
[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]
[tex] \mathsf \blue{x = 2}[/tex]
Please help I am not understanding
Answer:
12.39cm
Step-by-step explanation:
cos 25°=AB/12.5
AB=12.5 cos 25°
cos 25°=0.9912
AB=12.5×0.9912
=12.39cm
Please help me on this
(Look at the Photo)
Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
8
Step-by-step explanation:
PLEASE HELP What is the area of the trapezoid?
Answer:
Step-by-step explanation:
[tex]\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}[/tex]
a and b are the length of the parallel sides.
a = 8 + 4 + 4 = 16 in
b = 8 in
h = height = 6 in
[tex]Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}[/tex]
A person places $81200 in an investment account earning an annual rate of 3. 6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]
Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k2 − 16ck − 40k
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
✿————✦————✿————✦————✿
The answer is: 2(k2−4k)(2c+5)
✿————✦————✿————✦————✿
Step:
* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.
* Factor out the common term 2c+5 by using the distributive property.
* Rewrite the complete factored expression.
✿————✦————✿————✦————✿
Answer:
2(k2−4k)(2c+5)
Step-by-step explanation:
Find the Circumference ddddddddddddddddddddddddddddd
Answer:
25.12
Step-by-step explanation:
C = π2r
C = 3.14*2*4
C = 25.12
Hope this helps :)
write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice
Answer:
Step-by-step explanation:
1/3 of the original
Step-by-step explanation:
one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size
A construction company takes
1/6 hours to remove 1/2
metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form.
Answer:
3 tons per hour
Step-by-step explanation:
Since 0.5=1/6
you can multiply 0.5 by 6:
0.5x6= 3
With an ending result of 3 tons per hour
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare.
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 the table shows his earnings each day how much money does he earn each day babysitting
Answer:
$5.71 a day
Step-by-step explanation:
240/6 = 40
40/7 = 5.71428571429
Round 5.71428571429 = 5.71
how to solve the proof and the steps
Answer:
Step-by-step explanation:
What is question c in the question?
Answer:
y = [tex]4^{10}[/tex]
or
y = 1048576
Step-by-step explanation:
Function:
y = [tex]q^{x}[/tex]
Given values:
q = 4
x = 10
Substitute the given values into the function:
y = [tex]4^{10}[/tex]
or
y = 1048576
hope this helps and is right!! p.s. i really need brainliest :)
A penny is tossed and a number cube is rolled. determine each probability.
you must answer the problem with at least 3 sentences.
what number is the probability of landing on tails and the number 5?
p(tails,5) =
Answer:
25% chance
Step-by-step explanation:
Because a penny has two sides that is 50 percent and a cube 6 sides that's 16 percent. then you subtract 16 from 50 to get a 34 percent chance of probably.
Please I really need help!? NOW!! Will give brainest!!
Answer:
the figure is a rectangle with a side of trapezium
according to my calculation the answer is
196m²
explanationArea of trapezium =½(10+8)×4=36
Area of rectangle =10×16=160
add=160+36
therefore the answer is 196m²Deandre Willis is single and owns a hair salon. He has calculated the following assets and liabilities. Find DeAndre‘s net worth.
ASSETS
- current value of the hair salon: $180,000
- current value of car: $12,500
- checking account balance: $1,300
- combined savings: $18,000
- balance in retirement account: $30,000
- current value of owned electronics: $20,000
LIABILITIES
- remaining balance on mortgage: $120,000
- remaining balance on personal loan: $4,600
- combined credit card debt: $23,000
Given the value of DeAndre‘s assets and liabilities, his net worth is $114,200.
What is the net worth?Net worth is the value of the assets less the liabilities.
Net worth = assets - liabilities
Assets = $180,000 + $12,500 + $1,300 + $18,000 + $30,000 + $20,000= $261,800
Liabilities = $120,000 + $4,600 + $23,000 = $147,600
Net worth = $261,800 - $147,600 = $114,200
To learn more about liabilities, please check: https://brainly.com/question/26513242
2 Which set of side lengths will form a triangle?
16 ft, 4 ft, 21 ft.
6 30 ft, 30 ft, 60 ft
12 ft, 12 ft, 20 ft
3ft, 5 ft, 10 ft
None of the above. To form a standard triangle, all 3 sides must be of equal length.
Find the value of x.?
Your answer is ≈ 19
Step-by-step explanation:
180 - 124 = 56
56 / 3 = 18.66666666666667
18.66666666666667 round it up...…
19
X = 19
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Help this is due in 15 mins!
Answer:
Area of the rectangle = 20 square units
Area of left triangle = 8 square units
Area of right triangle = 6 square units
Area of whole figure = 34 square units
Step-by-step explanation:
Alright, area of a rectangle is Base · Height. The base of the rectangle is 5 units and the height is 4 units. 5 · 4 = 20 square units.
Area of a triangle is (Base · Height)/2. The triangle on the left is 4 units tall and 4 units wide. 4 · 4 ÷ 2 = 8 square units.
The triangle on the right is 4 units tall and 3 units wide. 4 · 3 ÷ 2 = 6 square units.
To get the area of the whole figure, you can just add the area of all three shapes. 20 + 8 + 6 = 34 square units.
Hope this helps! :)
Answer:
Rectangle's area;
Length: 4
Width: 5
Formula for area of rectangle;
A = L*W
Replace values:-
A = 4(5)
A = 20.
Left triangle's area;
Base = 4
Height: 4
Formula for area of triangle;
A = BH x 1/2
Replace values:-
A = 4(4) x 1/2
A = 16 x 1/2
A = 16/2
A = 8.
Right triangle's area;
Base = 3
Height: 4
Formula for area of triangle:
A = BH x 1/2
Replace values:-
A = 3(4) x 1/2
A = 12 x 1/2
A = 12/2
A = 6.
Add all the areas we've found so far to get the figure's total area:
20 + 8 + 6
= 34.
A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.
The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.
How many hours would it for the bacteria count to grow from 75 to 120?The first step is to determine the rate of increase of the bacteria. The formula that can be used is:
g = (FV / PV)^(1/n) - 1
Where:
FV = 75PV = 40 n = 3 hours(75/40)^(1/3) - 1 = 23.3%
The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:
Number of hours = (IN FV / PV) / r
(IN 120/75) / 0.233 = 2 hours
To learn more about time, please check: https://brainly.com/question/21841217
PLEASE READ THE PICTURE
Let g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!
5. For all real values of x such that -1 < x < 0, which of the following
expressions has the greatest value? *
Answer:
x<0
Step-by-step explanation:
-1<0 is greater
hope this helps your question
A taxi ride cost a flat fee of 4. 00 plus an additional 1. 25 per mile how many mile would a person travel if they paid 19. 0
Answer:
12 miles
Step-by-step explanation:
19 - 4 = 15
15/1.25 = 12
You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?
Answer:12/13
Step-by-step explanation:12/13
My neighbor has both chickens and roosters. He has a total of 31 birds. The number of chickens is ten more than twice the number of roosters. How many chickens does he have?
Answer:
24
Step-by-step explanation:
You can use a simple equation for this:
c=chickens, r=roosters
c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"
we can then do;
10+2r+r (the original number of roosters)=31
3r=21
r=7
BUT, WE'RE NOT LOOKING FOR ROOSTERS!
10+2r=24
Which subtraction equation shows how to subtract
4
2
12
−
2
8
12
using equivalent fractions?
A.
42
12
−
28
12
B.
18
12
−
22
12
C.
50
12
−
32
12
D.
48
12
−
24
12
How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.
hello, please answer the question, please show work
convert 36 inches to feet there are 12 inches in a foot
HELP ASAP PLEASE>:)
Answer:
3 feet
Step-by-step explanation: