Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.
An exponential function, with a doubling time of d, after t hours, is given by:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
In which A(0) is the initial amount.In this problem:
The doubling time is of 3 hours, hence [tex]d = 3[/tex].The initial population is of 74000 bacteria, hence [tex]A(0) = 74000[/tex].Then:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]
After 13 hours:
[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]
The population of bacteria in the culture after 13 hours is of 1,491,747.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656
how do i do this?? i really need help !!
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15 +2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.
The 25 destinations in France are represented by a sector that is ...
25 × 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 × 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 × 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 × 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
__
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15+2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.
The 25 destinations in France are represented by a sector that is ...
25 x 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 x 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 x 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 x 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
PLEASE SHOW YOUR WORK !!! I REALLY NEED HELP
I did the math in the link below
I will mark Brainliest if you help!!
Remainder of 52,259 divided by 215
Answer: 243, Reminder is 14
Step-by-step explanation:
52,259 / 215 = 243.065116
215 x 243 = 52,245
52,259 - 52,245 = 14
So the reminder is 14
The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.
Answer:
84.21%
Step-by-step explanation:
When working with percentages, one must cross multiply and divide
first you set up your numbers in fraction form…
[tex]\frac{16}{19} \frac{x}{100}[/tex]
now you multiply the two number you do have (16 and 100)…
[tex]16*100\\ 1600[/tex]
then divide by the other number that is known (19)…
1600÷19≈84.21
hope this helps!
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms. A
delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms. How much does each type of box weigh?
1. Weight of each large box ____ kilograms
2. Weight of each small box ____ kilograms
Answer:
Answer:
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
the large box weights 15.5 kg.
the small box weights 13.25 kg.
Solve the following equation by factoring: x^2+ x– 42 = 0
Answer:
x=6,x=-7
Step-by-step explanation:
x^2+x-42=0
x^2-6x+7x-42=0
x(x-6)7(x-6)=0
(x-6)(x+7)=0
2. Solve for x.
28
2x + 8
82
5x - 4
Solution of Problem 1:
2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10Solution of Problem 2:
82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2Therefore:
Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2Hoped this helped.
[tex]BrainiacUser1357[/tex]
What is the domain???????
Answer:
H
Step-by-step explanation:
The domain is the values of x in a function.
The graph appears to extend infinitely to the right and left going from the x value 1
From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.
This can be written as {x | x ≠ 1 }
The answer is H
Chau needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
PLEASE HELP!!!!
ASAP!
Answer:
The answer for Brand A is 0.09 because if you divide that would be you answer.
Brand B the answer is 0.10 how you do it is the same you divide and this is you answer.
Step-by-step explanation:
Please help with this!!
Answer:
#1.---60% #2.---$12.60 per hour
Step-by-step explanation:
#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80
#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour
Identify the two irrational numbers
Answer:
Your answer is in picture hope it helps
Step-by-step explanation:
PLS ANSWER AS SOON AS POSSIBLE AND I WILL MARK U AS BRAINLIST
Answer:
3
Step-by-step explanation:
Substitute the possible answers.
The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?
what 0x0+1-0 explain it has to be mathematical geniuses
Answer:
1
Step-by-step explanation:
you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one
Answer:
1
Step-by-step explanation:
zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.
so yeah
**PLEASE HELP ASAP**
Ben is concerned that he is not reading enough. He decides to record how many pages he reads each day for the month of April, and he makes a box plot of the data. Then he repeats the process for the month of June. His 2 plots are shown below.
Write the converse of the following statement. Then determine its validity.
a. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
b. If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.
c. If a parallelogram is a rectangle, then the diagonals are congruent. FALSE.
d. If the diagonals of a parallelogram are not congruent, then the parallelogram is not a rectangle. FALSE.
d. If a parallelogram is not a rectangle, then the diagonals are not congruent. TRUE.
The converse and the validity of the statement is:
If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.The statement is given as:
If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle
Considering the following statement
If a then b
Its converse is:
If b then a
So, the converse of the given statement is:
If a parallelogram is a rectangle, then the diagonals are congruent.
The diagonals of a rectangle are true.
Hence, the validity is true.
So, the true statement is (b)
Read more about converse statements at:
https://brainly.com/question/4421013
3. Suppose Natalie put $2,400 in the bank for 5 years. She makes $9.20 in interest
every month. What is the annual interest rate?
Annual interest rate is 4.6%
hope this helps!
6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.
Answer:
At 2 hours they will meet on the road
Car A: 110 km; Car B: 140 km
Step-by-step explanation:
Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.
Let x be the time, in hours.
Miles Travelled
Car A (55km/h)x
Car B (70 km/h)x
(55km/h)x + (70 km/h)x = 250
55x + 70x = 250
125x = 250
x = 2 hours At 2 hours they will meet on the road
Distance Travelled
Car A (55km/h)2 = 110 km
Car B (70 km/h)2 = 140 km
please I need help immediately
Answer:
Step-by-step explanation:
4x+6<= -54
4x <= -60
x <= -15 [The point -15 is included, so it must be a solid dot]
----------------
5x + 7 > -18
5x > -25
x > -5 [The point -5 is NOT included, so it should be an empty dot.]
Solution C seems the best.
. What is 6 8ths x 5? Draw a model of your choice to help you solve.
WILL GIVE BRAINIST
Answer:
The complete and simplified answer to the question what is 6/8 of 5 is:
3 3/4
Step-by-step explanation:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1
So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
6 x 5/ 8 x 1 = 30 /8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
30/2 = 15
8/2 = 4
When we put that together, we can see that our complete answer is:
15/ 4
If you now simplifiy the COMPLETE anwser is:
3 3/4
Select all the polygons that have reflection symmetry.
A quadrilateral with two pairs of adjacent congruent sides, forming a kite.
A polygon is shaped like a composite figure made up of a rectangle with a small square on its top side and the same sized square on its right side.
A polygon shaped like a five-pointed star in which the left and right sides of the star are mirror images
A six-sided polygon that generally appears as a diagonally-oriented trapezoid attached to a shorter horizontally-oriented rectangle.
Assessment navigation
(added this for all^ my homies with k12 so its easier to find just ignore it)
Reflection Symmetry-
Line symmetry is also called as the reflection symmetry. If, at least one line that divides a figure into two halves such that one-half is the mirror image of the other half, exists, then the figure is said to be in reflection symmetry.
Analyzing all the 4 figures, it can be deduced that only 1st and 2nd figures have one symmetry line XX, as shown in the attachments.
3rd and 4th figures do not have any axisymmetric lines, so they are not in reflection symmetry.
Using HL, are the two triangles congruent? What information would be used? Question 2 options: A) No, the triangles aren't congruent by HL. ∠H ≅ ∠M, ∠N ≅ ∠I, ∠L ≅ ∠J B) Yes, the triangles are congruent by HL. ∠H ≅ ∠M, ≅ C) Yes, the triangles are congruent by HL. ≅ , ≅ D) No, the triangles aren't congruent by HL. ∠N ≅ ∠I, ≅
Answer:
Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ
Step-by-step explanation: I took the test
Answer:
Step-by-step explanation:
j
The lines 3y + 1 = 6x + 4 and 2y + 1 = x - 9 are ?
Answer:
lines are not perpendicular or parallel
What is the value of x in AABC?
A. 26
B. 29
C. 32
D. 36
Answer:
x = 29
Step-by-step explanation:
64°+y°+y° = 180°
64+2y = 180
2y = 116
y = 58
(180°-58°)+2x° = 180
122+2x = 180
2x = 58
x = 29
please help i need this rn!! ( please tell me how much boxes I color)
can someone help? No explanation needed :')
Simplify this question
[tex]3 + \sqrt{ - 12} \\ = 3 + \sqrt{ 2 \times 2 \times - 3} \\ = 3 + 2 \sqrt{ - 3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto 3+√-12[/tex]
[tex]\\ \sf\longmapsto 3+√12i[/tex]
[tex]\\ \sf\longmapsto 3+√2(2)(3)i[/tex]
[tex]\\ \sf\longmapsto 3+2√3i[/tex]
Question in the picture
Answer:
√85
Step-by-step explanation:
please keep it simple.
Answer:
[tex]z^{2} +\frac{1}{2} +11z[/tex]
Step-by-step explanation:
→ Minus the z² terms
[tex]1\frac{1}{2} z^{2} -\frac{1}{2} z^{2}=1 z^{2}[/tex]
→ Minus the whole numbers
[tex]3\frac{1}{2} -3=\frac{1}{2}[/tex]
→ Add the z terms
11z
Ragnar's bathroom has 148 tiles in it. He found that his kitchen has 7 times as many tiles as his bathroom.
How many tiles are in Ragnar's kitchen?
Answer:
148*7=1036
Hope This Helps!!!
Step-by-step explanation:
The answer,
148×7 = 1,036