Answer:
t ≈ 5.1 days
Step-by-step explanation:
A 10 gram sample of a substance thats used to detect explosives has a k-value of 0.1356. Find the substances half-life in days. round your answer to the nearest tenth. N=N₀ e^-kt N₀= initial mass (at time t = 0) N = mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t=time in days
The initial condition is that, at time t = 0, the amount of substance contains originally 10 grams
Find the value of N₀
N=N₀ e^-kt
We substitute:
10 = N₀ {e^(-0.1356)*0}
10 = N₀ (e^0)
10=N₀(1)
10=N₀
N₀ = 10
When the substance is in half-life
That is, half of the original substance (5 grams)
Find t
N=N₀ e^-kt
5 = 10 e^(-0.1356*t)
0.5 = e^(-0.1356*t)
Bring down t by multiplying natural log on both sides
ln(0.5) = -0.1356*t
Divide both sides by -0.1356
t = -(ln(0.5) / 0.1356
t ≈ 5.11 days
To the nearest tenth
t ≈ 5.1 days
Answer:
5.1 days in Plato
Step-by-step explanation:
Pleaseee i'm struggling so hard on this Geometry thing, show work please
Answer:
(12x+1)+(5x-3)=117
combine like terms 12x+5x=17x
1+-3= -2
17x-2=117
add 2 to both sides to isolate the variable
17x=119
divide both sides by 17 to further isolate the variable
x=119/17
x=7
answer is x=7
Step-by-step explanation:
add both angles to be the sum of the angle DEF and determine what x must be by the steps above
Answer:
x=7°
Step-by-step explanation:
Form an equation:
12x+1+5x-3=117°
Collect like terms:
Like terms are terms with the same variables and powers.
12x+5x=17x
1-3=-2
put I back into an equation:
17x-2=117°
As we want x, you would have to do inverse operations to 'undo the equation'.
117+2=119°
17x=119°
119÷17=7° (We divide by 17 because when a number is next to a letter, in algebra, it means you times so we have to do the opposite and divide)
So, x=7
Hope this helps :)
SOMEONE PLZ HELP ME ON THIS PROBLEM!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!!
Answer:
D
Step-by-step explanation:
End behaviour refers to the asymptotes, which both exponential functions have the same one at y = 2. However, they have different y - intercepts. The first one has a y - intercept of 4 and the second one has a y - intercept of 6. Thus, the answer is D.
Answer:
D. They have different y-intercepts but the same end behaviorStep-by-step explanation:
Let's name the function from graph: f
for f:
y-intercept = f(0) = 4
for x → ∞, f(x)→2
for g:
y-intercept = f(0) = 4(¹/₄)⁰+2 = 4•1+2 = 4+2 = 6 ≠4
f(1) = 4(¹/₄)¹+2 = 4•¹/₄+2 = 1+2 = 3
f(2) = 4(¹/₄)2+2 = 4•¹/₁₆+2 = ¹/₄+2 = 2¹/₄
f(3) = 4(¹/₄)³+2 = 4•¹/₆₄+2 = ¹/₁₆+2 = 2¹/₁₆
f((5) = 4(¹/₄)⁵+2 = 4•¹/₁₈₂₄+2 = ¹/₅₁₂+2 = 2¹/₅₁₂
....
so for x x → ∞, f(x)→2
A culture started with 2000 bacteria. after 2 hours it grew to 2400 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number. P=Ae^kt
Answer: There will be 4977 bacteria present after 10 hours.
Step-by-step explanation:
The exponential function for continuous growth in t years is given by :-
[tex]P=Ae^{kt}[/tex] (i)
, where A = initial population, k= rate of growth.
As per given, A= 2000,
After t= 2 hours, P=2400
Put these values in (i), we get
[tex]2400=2000e^{2k}\\\\\Rightarrow\ 1.2=e^{2k}[/tex]
Taking log on both sides
[tex]\ln 1.2=2k\\\\\Rightarrow\ k=\dfrac{\ln1.2}{2}=\dfrac{0.182321556794}{2}\\\\\Rightarrow\ k\approx0.09116[/tex]
put value of A=2000, k= 0.09116 and t= 10 , we get
[tex]P=2000e^{0.09116\times10}\\\\=2000e^{0.9116}\\\\=2000\times2.4883\\\\=4976.6\approx4977[/tex]
Hence, there will be 4977 bacteria present after 10 hours.
Answer:
Step-by-step explanation:
if the area is 1 then what is the side length of a square?
Answer:
1
Step-by-step explanation:
Since we are taking the area of a square, you can take the square root of its area to find the side lengths.
√1 = 1
jawaban dari 5x – 7 = 13 adalah....... dijawab ya....
Answer:
x = 4
Step-by-step explanation:
5x - 7 = 13
5x = 13 + 7
5x = 20
x = 20/5
x = 4
Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish - how many of each did she buy?
Answer:
are you sure there is no further info
Step-by-step explanation:
you need to fill a water jug with 8.23 L. you filled it with 2.92 L and then added 3.14 more how much more water do you need?
Write the equation for the horizontal line going through the
point (3,7).
y =
Answer: y = 7
This is because every point on this horizontal line has a y coordinate of 7.
For instance, the points (0,7) and (3,7) are on this horizontal line. The x coordinate doesn't matter. All that matters is that y is 7. Since x doesn't matter, it's the reason why it doesn't show up in the answer.
a man stride is 7/8 metre long. how many strides does he take in walking a distance of 98m
Answer:
112
Step-by-step explanation:
To find the number of strides, divide the distance by the distance per stride:
(98 m)/(7/8 m/stride) = (98)(8/7) strides = 112 strides
He takes 112 strides in walking 98 m.
How much cement is needed for a hole 0.4m wide and 1m long.
Answer:
its 80 meters longs
Step-by-step explanation:
if it is wrong just go look it up
Bill’s car gets 30 miles to the gallon. For every gallon of gas it consumes, his car runs 30 miles. Use this information to determine whether this relation is a function
write a equation for the number of miles Bill travels, y, in terms how much gas it uses, x.
Answer:
Step-by-step explanation:
No. of miles driven in 1 gallon = 30 miles.
since we have to distance traveled in miles.multiply LHS and RHS by x
No. of miles driven in 1*x gallon = 30*x miles.
No. of miles driven x gallons = 30*x = 30x miles
As given that
the number of miles Bill travels is represented by y
gas used is x
then
y = 30x
=> x = y/30
Thus, Bill's car uses y/30 gallon gas to travel Y miles.
Answer:
Part a: Bill’s car travels 30 miles per gallon of gas. If y represents the number of miles the car travels on x gallons of gas, the equation that represents this situation is y = 30x.
Part b: gallons of gas (x) miles (y)
1 30
2 60
3 90
Part c: There is no x-value that would lead to multiple y-values.
Part d: Yes, y = 30x is a function, because for every input, or x-value, there is only one output, or y-value.
Step-by-step explanation:
edmentum answers 100% correct
solve this equation -2x+9=-5x-15
Answer:
x = -8
I hope this helps!
A man writes 1 on the first line of his paper, then writes 2 and 3 on the second line, then 4, 5, and 6 on the third, and continues so that on any line n he writes the first n integers following the last integer on line n - 1. What is the sum of the first and last integers on line 17
Answer: 290
Step-by-step explanation:
[tex]First\ integer\ on\ line\ n\ is:\ \dfrac{n^2}{2}-\dfrac{n}{2}+1 \\\\For \ line\ 17\ : \dfrac{17^2}{2}-\dfrac{17}{2}+1 =137\\\\\\Last \ integer\ on\ line\ n\ is:\ \dfrac{n*(n+1)}{2} \\\\For\ line\ 17:\ \dfrac{17*(17+1)}{2} =153\\\\Sum=137+153=290[/tex]
I have not say the equation in u(n+3) for the recurrence,
the resolution of the equation caracteristic and the resolution of a system of 3 equations with 3 variables.
-5r+8r+5 what is the anwser
Answer:
-5r + 8r +5
= (-5+8)r+5 (we can calculate number in same variabe)
= 3r +5
hope it helps ^°^
Answer:
3r + 5.
Step-by-step explanation:
-5r + 8r + 5
= 8r - 5r + 5
= 3r + 5.
Hope this helps!
FACTOR THIS EXPRESSION AS FAR AS POSSIBLE -385y IM GIVING THANKS AND BRAINLIST IF CORRECT. PLEASE HELP ME GUYS
Answer:
-385y
Step-by-step explanation:
This expression cannot be factored with rational numbers, so -385y is your answer.
Christian ran 4 1/4 miles on Monday and 2 2/3 miles on Tuesday. On Wednesday, he ran 1 1/3 fewer miles than he ran on Monday. How many miles did he run in all? SHOW YOUR WORK AND EXPLAIN PLEASE I WILL MARK YOU BRAINIEST.
Answer:
9.83 miles
Step-by-step explanation:
Distance covered on Monday = 4.25 miles
Distance covered on Tuesday = 2.66 miles
Distance covered on Wednesday
= 4.25 - 1.33 = 2.92 miles
Total distance covered in Three days = 9.83miles
a positive integer n is called special if n is divisible by 4, N+1 is divisible by 5 and n+2 is divisible by 6. how many special integers smaller than 1000 are there?
Answer:
17
Step-by-step explanation:
these positive integers are :
4, 64, 124, 184 ... , 964
964 = 4 + (n-1) (60)
964 = 4 + 60n -60
964 = 60n -56
60n = 1020
n = 1020/60
n = 17
so, the number of special integers smaller than 1000 are = 17
The digits n, n+1 and n+2 implies that the special numbers are consecutive i.e. they follow one another. The count of special numbers less than 1000 is 17.
Given that:
[tex]\{n,n+1,n+2\} = \{4,5,6\}[/tex]
[tex]Range = 1000[/tex]
First, calculate the LCM of 4, 5 and 6.
[tex]4 = 2 \times 2[/tex]
[tex]5 = 5[/tex]
[tex]6 = 2 \times 3[/tex]
So, the LCM is:
[tex]LCM = 2 \times 2 \times 5 \times 3[/tex]
[tex]LCM = 60[/tex]
This means that the special digit occurs after every other 60 digits (i.e. the difference between a special digit and another is 60)
To calculate the count of special digits, we make use of arithmetic progression formula
[tex]L = a + (n - 1) \times d[/tex]
Where
[tex]L = 1000[/tex] --- the last term
[tex]a = 4[/tex] --- the first special digit
[tex]d = 60[/tex] --- the common difference as explained above
So, we have:
[tex]L = a + (n - 1) \times d[/tex]
[tex]1000 = 4 + (n - 1) \times 60[/tex]
Collect like terms
[tex]1000 - 4 =(n - 1) \times 60[/tex]
[tex]996 =(n - 1) \times 60[/tex]
Divide both sides by 60
[tex]16.6 =n - 1[/tex]
Add 1 to both sides
[tex]1 + 16.6 =n[/tex]
[tex]17.6 =n[/tex]
Rewrite as:
[tex]n =17.6[/tex]
Remove the decimal part (do not approximate)
[tex]n =17[/tex]
Hence, the special numbers are 17 in total (that are less than 1000).
Read more about arithmetic progression at:
https://brainly.com/question/21093837
| Find the quadratic polynomial whose
Sum and products of zeros are 21/8 and 5/16
Answer:
[tex]16x^{2} -42x+5[/tex]
Step-by-step explanation:
Sum of its zeroes=[tex]\alpha +\beta =\frac{21}{8} \\[/tex]
Product of its zeroes=[tex]\alpha \beta[/tex]=[tex]\frac{5}{16}[/tex]
Formula to form a quadratic polynomial:
[tex]p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ][/tex]
p(x)=[tex]k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]
p(x)=[tex]16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]
p(x)=[tex][16x^{2} -42x+5][/tex]
The quadratic polyniomial is [tex]16x^{2}-42x+5[/tex]
5y-5y^2-5+2+2y+3y^2-1
Answer:
7y - 2y² - 4
Step-by-step explanation:
5y - 5y² - 5 + 2 + 2y + 3y² - 1
5y + 2y - 5y² + 3y² - 5 + 2 - 1 (combine like terms)
7y - 2y² - 4
You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving.
Answer:
Hope I helped! Brainleist!
Step-by-step explanation:
you get $12/week
and you have $
your equation is
y=12x
now...
y = 384
so
384=12x
x= 32
EASY QUESTION What is the difference between history and world history? Please explain it easily :D
Answer:
Assuming you mean "American History V World History"
American History tends to focus on the history of the United States, beginning largely with the colonial era and tracking forwards towards the present. It's largely a national history. World History, on the other hand, is far more encompassing, both geographically as well as temporally.
Assuming you mean "Global History V World History"
World history encompasses a history that is not necessarily completely interconnected through globalization, while global history examines this specific history of inter-connectivity. World History examines the individual histories of different locations around the world, whereas Global History examines how those locations are connected.
Answer:
World history encompasses a history that is not necessarily completely interconnected through globalization, while global history examines this specific history of interconnectivity. ... Furthermore, the fluid nature of what world and global histories mean ensures a number of disagreements with these definitions.
Help pls!! I’m bad at geometry lol
Answer:
The perimeter of a shape is the length around it.
Step-by-step explanation:
We will be using the x and y values and add them together to find the total perimeter.
To do this, let's find all the values of the 2 axis:
(2 to 4) = 2
(1 to 3) = 2
(4 to 10) = 6
(3 to 1) = 2
(10 to 12) = 2
(1 to 8) = 7
(12 to 2) = 10
(8 to 1) = 7
We now add these values together which gives us 38. Don't forget to add the units afterwards (cm, m and so forth).
g(x)=7x-2/5x+1
Find g^-1(x), where g^-1 is the inverse of g.
Also state the domain and range of g^-1 in interval notation.
write in exponent from 7x7x7x7x7
Answer: 7⁵
Step-by-step explanation:
7×7×7×7×7
Here 7 is mutiplied by 7 , 5 times
Therefore it will be 7 to the power 5 = 7⁵
please click thanks and mark brainliest if you like :)
Please help URGENT!!... There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football, and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball? A. 30% B. 38% C. 26% D. 34%
Answer:34
Step-by-step explanation:just add the percents
Answer:
C. 26%
Step-by-step explanation:
We can sort students into three categories: Football Only, Baseball Only, and students who play Both.
Firstly, let's turn the percentages into numbers to make the calculations easier:
To find 22% convert into decimal and multiply:
0.22 x 200 = 44 TOTAL Football players
Similarly, 0.12 x 200 = 24 TOTAL Baseball players.
The question then tells us that 8 students play both.
This means there are 44-8 = 36 students who play ONLY football, and
24-8= 16 students who ONLY play baseball:
Football Only: Both: Baseball Only:
36 8 16
44 Total Football and 24 total baseball
The question asks the probability of a student playing EITHER football OR baseball which therefore does not include the students who play both.
Now we can add up all these numbers of students which gives us:
36 + 16 = 52
Now to find the percentage we just divide 52 by 200:
52/200 = 0.26 which is equivalent to 26%.
Therefore the answer is C. 26%
Hope this helped!
C no dolfneidlxnxbxjkdkdmd dnkfldmfkd
Birifnff
Answer:
this is even math bro
Step-by-step explanation:
What is the sum of the complex numbers
9- i and – 5 – i?
[tex]9-i+(-5-i)=9-i-5-i=4-2i[/tex]
Gabby is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:25 P.M. They want to spend 1 hour and 10 minutes at the Empire State Building, 2 hours and 50 minutes in Central Park, and 1 hour in Times Square. What is the latest time Gabby's family can start their tour in order to make it to dinner on time?
Answer:
3:25 pm
Step-by-step explanation:
How much time do they need for tours
Empire State Building : 1 hour 10 minutes
Central Park 2 hour 50 minutes
Times Square 1 hour
-------------------------------
4 hours 60 minutes
but 60 minutes = 1 hour so subtract 60 minutes and add 1 hour
4 hours 60 minutes
+1 -60
--------------------------------
5 hours
They need 5 hours for the tours
We have to be at dinner at 8:25 so we need to start 5 hours earlier
8:25
- 5
------------------
3:25
We can start no later than 3:25 pm
Answer:
3.25
Step-by-step explanation:
First convert into minutes
1 hour = 60 minutes
Empire state building:
60 + 10 = 70
Central park:
60 + 60 + 50 = 170
Times square:
60
Now add all minutes together.
70 + 170 + 60 = 300 minutes.
Convert into hours:
300 / 60 = 5 hours.
8 - 5 = 3
So, Gabby's family can start their tour at 3:25 at most to get to dinner on time.
Hope this helped.
The table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day. What is P(took a vitamin | got the flu)? (Note: If your fraction will reduce, you need to reduce it.)
Answer:
1/4
Step-by-step explanation:
25 people took a vitamin and still got the flu and the total number is 100 so the fraction is 25/100 which can be reduce to 1/4
The P(took a vitamin | got the flu) will be 1/4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Here, the table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day.
We need to find the P(took a vitamin | got the flu).
Now, 25 people took a vitamin and still got the flu.
The total number is 100.
So, the fraction is 25/100 which can be reduce to 1/4.
P(took a vitamin | got the flu) = 25/100
P(took a vitamin | got the flu) = 1/4
Therefore, the P(took a vitamin | got the flu) will be 1/4.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ5
How many three-letter permutations
can you make using the letters in
BEACH?
Can someone please help me?
Answer:
60
Step-by-step explanation:
nPr=n!/(n-r)!
5!/(5-3)!
(5*4*3*2*1)/(2*1)
120/2
60
Answer:
60
Step-by-step explanation:
A permutation is a rearrangement of its elements in any sequence or linear order.
We are asked to rearrange the word BEACH into three letter permutations.
We find that each letter represents the first letter 5 x 3 = 15
Then distributes 5 places, so that 15 x 5 = 60