Answer:
p = 6912 after 15 hoursp = 4000·e^(0.036463t)Step-by-step explanation:
We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...
p(t) = (initial population) × (growth factor)^(t/(growth period))
where the "growth factor" is the multiplying factor of the population in period "growth period."
__
Exponential Function (1)Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...
p(t) = 4000×1.2^(t/5)
__
PopulationThe population after 15 hours is ...
p(15) = 4000×1.2^(15/3) = 4000×1.728
p(15) = 6912
__
Exponential Function (2)To change this to the form ae^(kt), we find the value of k to be ...
k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463
Then the desired form of the function for p is ...
p(t) = 4000·e^(0.036463t)
_____
Additional comment
In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.
3 8 B. Maria bought 13 pounds of nails for a carpentry project. She ended up with pound of nails when she finished the project. a. Write an equation that can be used to determine how much of the 13 pounds of nails Maria used
I'm looking for a equation.
Step-by-step explanation:
let 1 pound of nail = x
so, the carved out waste nail will be = 12x
total nails = 13x
so the equation is =
13x - 12x = x
OR
x + 12x = 13x
Or
13x - x = 12x
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
It takes _____________ for the minute hand to travel from one number to the next.
A) 10 minutes
B) 15 minutes
C) 1 minute
D) 5 minutes
Answer:
D)
Step-by-step explanation:
Because -12 to 1 is 5 min.
Answer:
it takes five minutes for the minute hand to travel from one number to the next
Step-by-step explanation:
5
which of the following is true about the sequence graphed below?
Answer:
The sequence is arithmetic because the terms have a common difference
Step-by-step explanation:
The difference between each term in the sequence is constant. The sequence shown below, considering the y values of the coordinates, are 9, 7.5, 6, 4.5, 3, 1.5. Each term has a difference of 1.5, thus making all terms have a common difference, and making the sequence arithmetic.
When using a reflective device such as a Mira to bisect angle ABC where should the reflective device be placed?
A. Place the reflective device along line segment AB
B. Place the reflective device along line segment AC
C. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB
D. Place one end of the reflective device on the vertex A and swing the other end until you can see the reflected line segment AB coincide with line segment AC
Answer:
c. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB
Step-by-step explanation:
Answer:
Step-by-step explanation:
Composing ________________ is another way to compose two functions
Answer:
is there any options or answers I could see?
A safe has 10,000 possible lock combinations. If a thief tried 80 combinations the first hour, then 40 every hour after, how many hours would it take before trying them all?
It takes 249hrs before trying them all.
solve this sum plsss urgent
1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.
2. absolute value is resembled using the formula : |x|
Here,
[tex]\hookrightarrow \sf |\dfrac{-3}{11} |[/tex]
[tex]\hookrightarrow \sf \dfrac{3}{11}[/tex]
final answer: 3/11
3.
[tex]\hookrightarrow \sf \dfrac{1}{2} \div \dfrac{3}{5}[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{2} * \dfrac{5}{3}[/tex]
[tex]\hookrightarrow \sf \dfrac{5}{6}[/tex]
4.
Associative property can only be used with addition and multiplication
A string of a kite is 100 meters long and the inclination of the string with the ground is 60°. Find the height of the kite, assuming that there is no slack in the string.
Answer:
86.5
Step-by-step explanation:
Length of the string forms the hypotenuse AC of right angle triangle ABC.
C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular
(height of the kite) from C on the ground. BC is the horizontal.
Sin 60° CB/AC = √3/2
height = 1.73/2 AC = 0.865 * 100 m = 86.5 m
There are 40%bananas and 50% apples in a bowl. How many more percentage points apples should be there so that apples become 50% more than bananas
Answer:
This means 50% of the total should be apples regardless of how many fruits there are in the bowl. If the reader only has 40% apples, they know they need to increase the number of...
Step-by-step explanation:
Measurements of angles
Answer:
x = 60
Step-by-step explanation:
Since this triangle is an isosceles triangle, the angle next to the 60 degrees is 60 as well. The interior angles of a triangle adds up to 180 degrees, so:
60 + 60 + x = 180
120 + x = 180
x = 60
Hope this helps :)
answer correctly thanks
Answer:
Angle CBD is 65°
Step-by-step explanation:
All of these angles add up to 180:
So, we can make this equation: (x is CBD)
46 + 21 + 48 + x = 180
115 + x = 180
-115 -115
x = 65
Hope this helps
Answer:
∠CBD = 65 degrees
Step-by-step explanation:
Please open the attached image!!
Find an equation of the vertical line through (-4,-3)
Answer:
x = -4
Step-by-step explanation:
Vertical lines are up and down, which means the x coordinate stays the same.
This means the line is in the form
x=
x = -4
Answer:
Step-by-step explanation:
A vertical line has the general equation of x = a. y can be anything.
The x value that you will use is -4. Every point must have -4 as its value for a.
Answer: x = -4
The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2
9x^2 - 18x + 36
A. True
B. False
Answer:
False
Step-by-step explanation:
[tex]9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2[/tex]
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
The answer is a (4,6) :)
0,4
2,5
4,6
Have an amazing day!!
Please rate and mark brainliest!!
Adding and subtracting I need it right now the answer
Answer:
Just give me the questions and ill do it
Step-by-step explanation:
At a competition of 8 teams, the order of the first three is recorded, How Many different outcomes does the competition have
Answer:
366 possible outcomes
Step-by-step explanation:
just took a test on edge
Melissa earns 41 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Melissa earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Melissa earns if she sells 25 books.
Exaction:
Amount Melissa earns if she sells 25 books: dollars
Answer:
answer down below
Step-by-step explanation:
1.A+B=61
2.41+25=61
What is the process of writing a number as a product of several factors
Answer:
Step-by-step explanation:
you need to write out all the numbers that contain the specific number in their times tables, for example. factors of 20 are 1, 20, 4, 5, and 2 because all these numbers have 20 in their times tables.
what is the volume inside a cylinder 10ft radius 6 ft height
Answer:
1884.956ft³
Step-by-step explanation:
[tex]volume = \pi {r}^{2} h \\ = \pi \times {10ft}^{2} \times 6ft \\ = 600\pi {ft}^{3} \\ = 1884.956 {ft}^{3} [/tex]
Please rate brainliest
Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (24)}{180}\implies s=18\pi ~cm[/tex]
Answer:
B) 18π cm
Step-by-step explanation:
Step 1
Given:
Central angle θ=135°
Radius of circle r=24 cm
Length of arc CD =θ360°(2πr)
Step 2
l=135°360°×2π×24
l=38×2×π×24
l=3×2π×3
l=18π cm
Therefore
Length of arc CD =18π cm
Thus, option B is correct.
HELPPP 50pts !!!!!!!!!!!
Answer:
44462, 1462
Step-by-step explanation:
multiply 43000 by 1.034% and get the answers
Increase:-
[tex]\\ \rm\Rrightarrow 0.034(43000)[/tex]
[tex]\\ \rm\Rrightarrow 1462\$[/tex]
New price
[tex]\\ \rm\Rrightarrow 43000+1462[/tex]
[tex]\\ \rm\Rrightarrow 44462\$[/tex]
The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619, $379, $895, $1,256, $1,052
a. What is the median of the first half of the data? (first quartile)
The price of the refrigerators that is the median for the first half of the data is $498.
What is the median of the first half of the data?Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256
The first half of the prices are $379, $498, $619,
Median = $498
To learn more about median, please check: https://brainly.com/question/14746682
Gabe planted 15 sunflower seeds, and 40% of them have sprouted. How many of the sunflower seeds have sprouted?
Answer:
hello
15 x 0.4 = 6
6 sunflower
Step-by-step explanation:
Answer:
6 of them have sprouted
Step-by-step explanation:
(15/100)x40
0.15x40
6
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?
Volume formula for a cube is: volume = edge ^ 3
Answer:
Cubed root
Step-by-step explanation:
Do the inverse of cubed, cubed root
please solve WILL MARK BRAINLIES
Solve the question 2 it is necessary but 1 upto you
Answer:
See below ↓
Step-by-step explanation:
ii.
(x - iy)(3 + 5i) 3x - 3iy + 5ix - 5i²y3x + 5y + 5ix - 3iyConjugate of -6 - 24i ⇒ -6 + 24iReal part : 3x + 5y = -6Imaginative part : 5x - 3y = 24Solving
9x + 15y = -18 [Multiplying the real part throughout by 3]25x - 15y = 120 [Multiplying the img part throughout by 5]34x = 102x = 327 + 15y = -1815y = -45y = -3Answer:
Brainliest please
Step-by-step explanation:
3 5⁄7 + 1 9⁄14 = What is the answer if the answer is wrong I will come and haunt you
Answer:
[tex]5 \frac{5}{14} [/tex]
Step-by-step explanation:
[tex]3 \frac{5}{7} + 1 \frac{9}{14} [/tex]
Turn them into improper fractions
[tex] \frac{26}{7} + \frac{23}{14} [/tex]
[tex] \frac{2}{2} \times \frac{26}{7} + \frac{23}{14} [/tex]
[tex] \frac{52 + 23}{14} [/tex]
[tex] \frac{75}{14} [/tex]
Turn it into a mixed fraction
[tex]5 \frac{5}{14} [/tex]
5 A bag of tiles contains 6 green, 4 yellow, and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile.
Make sure to give your probability as a fraction in simplest form.
Answer:
3/5
Step-by-step explanation:
6+4+5 = 15
5+4 = 9
9/15 = 3/5
Answer:
3/5
Step-by-step explanation:
Since it given that a bag of tiles contains:
6 green
4 yellow
5 blue
To Find:
If one tile is pulled at random what is the probability of NOT choosing a green tile.
Solve:
knowing that there are a total of 15 tiles {6+5+4=15}
And there is 6 green tiles
Thus, 15 - 6 = 9
Hence, the probability of Not Choosing a green tiles before simplest form is 9/15
GCD - 3
Divide both the numerator and denominator by the GCD
9 ÷ 3/15 ÷ 3
Reduced fraction = 3/5
Therefore, the probability of Not choosing a green tiles is 3/5
~Lenvy~
In the diagram, mZXYZ (Exterior Angle Y)=115º and
mZWXY (Angle X) = 45°.
What is m
Answer: 70 degrees
Step-by-step explanation:
Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.
Answer:
The measure of the diagonals are 10 units each.
Step-by-step explanation:
The diagonals of a rectangle are always equal (Refer to image).
⇒ -2x + 34 = 3x - 26
⇒ -2x + 60 = 3x
⇒ 60 = 5x
⇒ 60/5 = 5x/5
⇒ 12 = x
Now, let's substitute the value of x into any diagonal.
⇒ -2x + 34 = WY
⇒ -2(12) + 34 = WY
⇒ -24 + 34 = WY
⇒ 10 units = WY
Thus, the measure of the diagonals are 10 units each.