Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
Which two numbers below have a least common multiple of 48?
Answer:
its 3 and 16 just trust me
The least common multiple is divisible by both a and b. The two numbers below have a least common multiple of 48 is 3 and 16.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The two numbers below have a least common multiple of 48 are,
3 and 16 ⇒ 3×16=48
Hence, the two numbers below have a least common multiple of 48 is 3 and 16.
Learn more about LCM:
https://brainly.com/question/20739723
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find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Answer:
Thus, the original price of the pair of shoes was $100.
Step-by-step explanation:
Percentages
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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The chart below contains the results of a survey in which students were asked about their cell phone plan.
Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing
Answer:
It is option C.
Step-by-step explanation:
I did the test.
Answer:
it c
Step-by-step explanation:
i did the unit test hope this helps :)
what is 2+2 my brain has been in circles about this
Answer:
hey welcome to Brainly, and 2 + 2 = 4
Step-by-step explanation:
2+2=4
3+3=6
4+4=8
5+5=10
and so on just keep adding 2
What is 82,199 rounded to the thousands
Answer:
82.20
Step-by-step explanation:
a family rents a cottage for $79.95 a day for 7 days. about how much does the family pay for the cottage?
Answer:
$560
Step-by-step explanation:
Since the family rents a cottage for 7 days, 79.95 dollars each day, we multiply 79.95 by 7 and get 559.65. Since the question asks about how much does the family pay, we round 559.65 to get $560.
8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew
Answer:
$17.80Step-by-step explanation:
This is a fairly simple question. All we need to do is find the difference between the two amounts.
$94.30 - $76.50 = $17.80
Is line / parallel to line m? Explain.
Note: Not drawn to scale
Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.
If the simple interest on $3000 for 3 years is $720 , then what is the interest rate?
Answer:
8%
Step-by-step explanation:
Starting Principal: $
3,000.00
Years:
3
Annual Interest Rate:
8
%
Results
Future Value, using...
Simple Interest: $
3,720.00
Annually Compounded Interest: $
3,779.14
Two forces are acting on an object, one at 58 Newton's and the other at 83 Newton's.
The resulting force is 105 Newton's. What is the angle between the resulting force and
the larger of the two original forces?
Help
Brainliest in reward
Please name both angles
I WILL MARK BRAINLIST
Question 9
Answer:
True
Step-by-step explanation:
Find the solutions to the equation below.
Check all that apply.
6x2 + 7x -5 = 0
A. x = 1/3
B. x = 5
c. x = -5/3
D. x = -1/3
E. x = 1/2
F. x = -2
Answer:
A and C
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
is 0.75 repeating irrational or rational
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
E
Learning Task 2. Give the reciprocal of the given fractions below.
Write your answer in your notebook.
6
1.
6.
2
8.
7
2. 7
7.
1
2
8
3.
8.
4
4
33-
5
als -|- ||-|-
5
4. 41
9.
5
6
5.
1
10. 1
54
5
5
A
Reciprocals represent two numbers whose product is one. Multi-6/8
The correct format of the options are
(1) 6/8 (6) 2/7
(2) 7/2 (7) 1/8
(3) 33[tex]\frac{4}{5}[/tex] (8) 4/5
(4) 41 (9) 5/6
(5) 54[tex]\frac{1}{5}[/tex] (10) 1/5
Answer:
Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1
Reciprocal of the following are as follows
(1) [tex]\frac{8}{6}[/tex]
(2) [tex]\frac{2}{7}[/tex]
(3) 33[tex]\frac{4}{5}[/tex] =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 => reciprocal = 5/169
(4) 1/41
(5) 54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271
(6) 7/2
(7) 8
(8) 5/4
(9) 6/5
(10) 5
The expression factors as: (n4 + 3)(n4 + 3)
(n4 - 3)(n4 + 3)
(n4 – 3)(n4 – 3)
Answer:
(n 4)
Step-by-step explanation:
Answer:
B - the second one (on EDGE)
Step-by-step :
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
A new hard drive costs $225, plus $40 per hour for labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, using plug and chug strategy for x hours of labor, what is the maximum number of hours the computer technician can work?
Answer:
Step-by-step explanation:
225+40h=y
225 + 40x = 385
-225 -225
------- -------
40x = 160
x= 4
1) The membership fee of Math Club is P25. What is the total amount
paid by 1,252 members?
A. P 31,250
B. P 31,252
C. P 31,230
Answer:
it's actually none of those the answer I have is p 31,300
A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same as the column space of A.
Answer: true
Step-by-step explanation:
For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.
column space = a1*c1 + a2*c2 + ...
where a1, a2, ... are scalars, and c1 is the vector of column 1.
Then we should write:
Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...
Now, the transpose is defined as:
[At]₁₃ = A₃₁
Here i used the element with subindex 3 and 1, but is the same for every subindex.
Notice that if A is m*n, then [At] is n*m
Now, the row space of [At] will be, same as before.
Row space = b1*r1 + b2*r2 + ...
Where b1, b2, ... are scalars and the r's are the vector of each row.
= b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...
Now we replace each term of the transpose by the associated element in the original matrix.
= b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....
If we take:
b1 = a1, b2 = a2, b3 = a3, ...
We will have that the row space of [At] is the same as the column space of A.
p – 22 < 40 . could you give me the answer and the steps thank you!
Answer:
the answer is 62
Step-by-step explanation:
ok so all you do is add 22 instead of subtracting 22
point A is located in which quadrant 1 2 3 or 4
Answer:
I THINK 2
Step-by-step explanation:
Answer: (-3, 5) : Quadrant 2
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Answer:11,356
Step-by-step explanation: that is the answer! I’m sure
Answer:11.355
Step-by-step explanation:
A 6-kilogram bag of cat food costs $21.54. What is the unit price?
Answer:0.27855153
A
−
0.04642525
kilograms per dollar
Step-by-step explanation:
Which expression is equivalent to y^3-2y^2+y
Answer:
the first one i did it yesterday
Easy question right here!
Answer: z=-9.5
Step-by-step explanation: -9.5/2=-4.75
How do break down what is the percentage of change in cost of the pizza
What is the solution to this equation?
3x-9 = 12
O A. x = 1
B. x = 7
O c. x = 9
O D. x = 63
