A box holds 30 tins How many boxes can be filled
with 810 tins
A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 775. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.)
Answer:
The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]
Step-by-step explanation:
When introduced into a nutrient broth, the culture grows at a rate proportional to its size.
This means that the size of the population, after t hours, is modeled by the following differential equation:
[tex]\frac{dP}{dt} = rP[/tex]
In which R is the growth rate.
The solution of this differential equation is:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population.
A culture of the bacterium Salmonella enteritidis initially contains 50 cells.
This means that [tex]P(0) = 50[/tex], and so:
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = 50e^{rt}[/tex]
After 1.5 hours, the population has increased to 775.
This means that [tex]P(1.5) = 775[/tex]. We use this to find r. So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]500e^{1.5r} = 775[/tex]
[tex]e^{1.5r} = \frac{775}{500}[/tex]
[tex]\ln{e^{1.5r}} = \ln{\frac{775}{500}}[/tex]
[tex]1.5r = \ln{\frac{775}{500}}[/tex]
[tex]r = \frac{\ln{\frac{775}{500}}}{1.5}[/tex]
[tex]r = 0.2922[/tex]
The expression is:
[tex]P(t) = 50e^{rt}[/tex]
[tex]P(t) = 50e^{0.2922t}[/tex]
The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]
Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help
Answer11
Step-by-step explanation:
please help due in an hour
Answer:
x=30°
Step-by-step explanation:
3x-10=2x+20
3x-2x=20+10
x = 30°
just x, no y in the photo
You are buying the new iphone 7 that originally costs $299. Verizon is running a sale that all phones are now 30% off. The sales tax is 7% in the state of New Jersey. What is the total you will pay for the ipone
Answer:
$233.95
Step-by-step explanation:
299 x 0.7 = 209.30
209.30 x 1.07 = 233.95
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
O C. 78 cubic meters
O D. 62 cubic meters
Answer:
64
Step-by-step explanation:
A P E X
Review the graph of a piecewise function. On a coordinate plane, a line starts at open circle (0, negative 1) and goes to open circle (negative 2, negative 3). It then curves up through (negative 5, 2). A curve starts at closed circle (0, 3) and curves down and approaches x = 1 into quadrant 4. Another curve starts at closed circle (2, 3) and curves down and approaches x = 1 in quadrant 4. A horizontal line goes from closed circle (2, 3) to (5, 3). Which list represents all values of x for which the function has a discontinuity? 1 0 and 1 –2 and 1 –2, 0, and 1
Answer:
A
Step-by-step explanation:
It is
Answer:
a
Step-by-step explanation:
A finite sequence of numbers is called AWESOME if each subsequent member of the sequence, except the first one, is larger than the previous one and if the
product of all the members of that sequence is a perfect square. For example, sequence 2, 6, 27 is an AWESOME sequence. Determine the natural numbers x and y such that the sequence 28, x, y, 65 is an AWESOME sequence.
Answer:
The answer is "28, 35, 52, 65"
Step-by-step explanation:
Calculating the x,y:
[tex]\to x< y<65\\\\\to 65 \times 28 xy=13 \times 5xy \times 7 \times 2^2\\\\x=13 \\\\y=5 \times 7= 35\\\\[/tex]
When
or
[tex]x=35\\\\y= 13 \times 2^2=13 \times 4 =52[/tex]
So, the final answer is "28, 35, 52, 65".
Solve the system of equations
-2x-3y=21
-6x+2y
Part 1: Explain the steps you would take to solve the system by eliminating the x-terms.
Part 2: Explain the steps you would take to solve the system by eliminating the y-terms.
Part 3: Choose either of the methods described in parts 1 or 2 to solve the system of equations. Write you answer as an ordered pair. Show you work.
Answer:
[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]
Value of x & y when
equations are
2x-3y=-21-6x+2y= 7is
x = 1.5
y = 8
what is and application that process data into meaningful information is
Answer:
Data processing is a process of converting raw facts or data into a meaningful information. Data can be done manually using a pen and paper, mechanically using simple devices eg. typewritter or electronically using modern dat processing toolseg computers.
Step-by-step explanation:
Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
Help me please I will give brainleist
Answer:
? = 7x
Step-by-step explanation:
Lets simplify the equation first;
5x - 20 + ? = -20 + 12x
=> So now, we have to make the equation on the left equation congruent to the right equation:
It we already have -20 common on both sides, but we need to find out, what added by 5x gives us 12x,
=> So we can let the number we have to find out be y, and say:
5x + y = 12x
=> y = 12x - 5x
=> y = 7x
Therefore, ? = 7x
Hope this helps!
The class president won the election by a vote of 3 to 2 her opponent received 356 votes. How many votes did the winner receive?
Answer:
534
Step-by-step explanation:
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
Two sixth-grade classes, A and B, voted on whether
to give the answers to their math problems in poetry.
The "yes" choice was more popular in both classes.
class A - 24 yes , 16 no
class B 18 yes , 9 no
i know the percent of class a but not b
class A - 60/100
class B - ???????
II. The Añejo Rum 45 played 5 games. Find the total of poin
basketteall game and for each player,
Loyzaga J
WAME GAME 1 GAME 2
Jaworski 18
2B
12 15
Isaac 16
12
Gonzalgo 21 15
Distrito 26 24
Mamaril 19 22
GAME 3
12
16
18
24
20.
12
GAME H GAME 5
24
18
16
20
19 15
26 23
21
15 16
21
Answer:
Step-by-step explanation:
alright l like this answer too
BE QUICK GIVING BRAINIEST
A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches.
What is the height of the cone?
A. 4 Inches
B. 16 inches
C. 48 inches
D. 96 Inches
Answer:
D. 96 inches.
Step-by-step explanation:
Radius of cylinder = 1/2 * 24 = 12 inches.
Radius of the cone = 1/2 * 12 = 6 inches.
Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h
So pi 12^2 * 8 = 1/3 pi * 6^2 * h
1152 pi = 12 pi h
h = 1152/12
h = 96 inches.
HELP NEEDED PLEASE!! WILL GIVE BRAINIEST
Find the mean absolute deviation of the following numbers:
12, 15, 17, 18, 15, 20, 22
Answer:
12 20 22
Step-by-step explanation:
help me please i will give 50 pts and a brainiest
Answer:
14 Feet
Step-by-step explanation:
Answer:
14 is the answer
140/10=14
hope this helps
have a good day :)
Step-by-step explanation:
I NEED HELP AGAIN YALL
Answer: Y=-5x+3
Step-by-step explanation:
first slope= 0 on the x axis so -2-3=-5
to get 3 you can do 4-1=3 or 7-4 or even 1-(-2)!
Correct answer: [tex]y = 3x -5[/tex]
You don't have to use the whole table in order to find equation. You can use just two points on the table to start.
In order to find the slope, the formula for that is: [tex]\frac{y_{2}-y_{1}}{x_{2} - x_{1}}[/tex]. So, we can start with points (1, -2) and (2, 1). Label (1, -2) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex]; label (2, 1) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug the numbers into the formula.
[tex]\frac{1-(-2)}{2 - 1}[/tex] → [tex]\frac{3}{1}[/tex] → [tex]3[/tex] is the slope.
To find the y-intercept, substitute (1, -2) into [tex]y = 3x + b[/tex].
[tex](-2) = 3(1) + b[/tex]
[tex]-2 = 3 + b[/tex]
[tex]-3[/tex] [tex]-3[/tex]
________
[tex]b = -5[/tex] is the y-intercept.
Thus, the slope-intercept equation is [tex]y = 3x -5[/tex]. Hope this helps :) Let me know if you have any other questions related to this problem!
Which angle is vertical to AFC?
Pretty sure the answer is DFE
Rationalize the denominator and simplify
7) WILL MAKE BRAINLIEST
write the slope-interception form of the equation of each line.
In ΔEFG, f = 37 inches, g = 92 inches and ∠E=97°. Find the area of ΔEFG, to the nearest square inch.
Answer:1689
Step-by-step explanation:
Delta Math
A y= 2x - 10
B y= 1/2 x + 10
C y= 1/2x -10
D y= 2x + 10
9514 1404 393
Answer:
D. y= 2x + 10
Step-by-step explanation:
Try x=3 in the equations and see which one works.
A: 2·3 -10 = -6 ≠ 16
B: 1/2(3) +10 = 11.5 ≠ 16
C: 1/2(3) -10 = -8.5 ≠ 16
D: 2(3) +10 = 16 . . . . . . this equation works
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review.Assume Χ is normally distributed.Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. Sketch the graph, labeling
and scaling the horizontal axis. Shade the region corresponding to the probability.
b. P(________________) = _______
C. Find the 95th percentile for the mean time to complete one month's reviews. Sketch the graph.
D. The 95th Percentile =____________
Answer: i think it would be 20
Step-by-step explanation:
if you do the problem it should show you
Please help me thank you !!!
Answer:
1. 19.8 or 20 dollars
2. 91.6 or 90 dollars
3. 108.9 or 110 dollars
4. 8.98 or 9 dollars
5. 2.91 or 3 dollars
i can't see 6 but just divide the total cost by how many items
Step-by-step explanation:
200 + 20x ≥ 500 I don't get these
Answer:
x ≥ 15
Step-by-step explanation:
200 + 20x ≥ 500
To solve this inequality, you must first subtract 200 from 500.
500 - 200 = 300.
Lastly, divide 300 by 20.
20x = 300
300 ÷ 20 = 15
Therefore, the value of x is 15.
Answer:
x ≥ 15
Step-by-step explanation:
1. So first of all we can simplify both sides now turning this into 20x+200≥500
2. Next we go ahead and subtract 200 from both sides because that is the opposite of adding, so something like this:
20x + 200 ≥ 500
-200 -200
This equals to:
20x ≥ 300
Now so x can be cancled we will need to divide by 20 because that is the opposite of multiplying(When it shows the x next to a number like this 20x it means that they are multiplyin):
20x ≥ 300
20 20
Now we cance out the left side(x) equaling up to this:
x ≥ 15
I hope this helped you out!
What is the solution to this equation?
Answer:
B. ½
Step-by-step explanation:
9^x -1 = 2
9^x = 2+1
9^x = 3
9^x = √9
9^x = 9^½
x=½
PLEASE HELP BRO IM FAILING MATH
Answer:
Step-by-step explanation:
we have several angles that have the same vertex and so they are congruent
1) e = 35 degrees because the opp angle has this measure
2) d = 109 degrees for the reason above
3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)
f = 180 - (35 + 109)
f = 180 - 144 = 36 degrees