Answer:
y = 340e^0.0427276t ; 908
Step-by-step explanation:
Given that :
t = time in days since study began
Number of bacteria after 11 days = 544
y = number of bacteria at time t
Exponential growth model:
y = ae^rt
Where a = initial amount ; r = Growth rate
y = 544 ; t = 11 ; a = 340
544 = 340*e^11t
544/340 = e^11t
1.6 = e^11t
Take the In of both sides
In(1.6) = 11t
0.4700036 = 11t
t = 0.4700036 / 11
t = 0.0427276
y = 340e^0.0427276t
Number of bacteria after 23 days :
Using the formula above :
t = 23
y = 340e^0.0427276(23)
y = 340 * 2.6717529
y = 908.39600
y = 908
The required formula is [tex]y = 340e^{0.0427}[/tex]
908 bacteria are there 23 days after the beginning of the study .
Given that,
A certain culture of bacteria has a population of 340.
The population grows according to a continuous exponential growth model. After 11 days, there are 544 bacteria.
We have to find,
Write a formula relating y tot. Use exact expressions to fill in the missing parts of the formula.
How many bacteria are there 23 days after the beginning of the study.
According to the question,
Let t be the time (in days) since the beginning of the study,And let y be the number of bacteria at time,
t = time in days since study began
Number of bacteria after 11 days = 544
y = number of bacteria at time t
Then,
Exponential growth model:
[tex]y = a.e^{rt}[/tex]
Where, a = initial amount ; r = Growth rate
y = 544 ; t = 11 ; a = 340
Then,
[tex]544 = 340.e^{11t}\\\\\dfrac{544}{340} = e^{11t}\\\\1.6 = e^{11t}\\\\Taking \ log \ on \ both \ sides,\\\\ln(1.6) = 11t\\\\0.47 = 11t \\\\t = \dfrac{0.47}{11}\\\\t = 0.0427[/tex]
The required formula is [tex]y = 340e^{0.0427}[/tex]
There 23 days after the beginning of the study Number of bacteria after 23 days :
[tex]y = 340e^{0.0427}[/tex]
Where, t = 23
[tex]y = 340e^{0.0427276(23)}\\\\y = 340 \times 2.6717529\\\\y = 908.39600\\\\y = 908[/tex]
Therefore, 908 bacteria are there 23 days after the beginning of the study .
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ANSWER QUICK IM TIMED
Answers:
A. (Negative 4, Negative 2 and one-half)
B. (Negative 4, 2 and one-half)
C. (4, negative 2 and one-half)
D. (4, 2 and one-half)
Answer:
C
Step-by-step explanation:
The 4 (x) is positive and the -2 1/2 (y) is negative.
X is only positive when it's past zero on the right side, on the left it is negative.
Y is only positive when its past the zero and going up, and is negative going past the zero and down.
Solve the Equation.
91 = A - 45
can anyone help me with this please marking brainly :)
Answer:
I can answer Part B since I can't explain Part A in words.
Step-by-step explanation:
Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)
Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)
Angle 4 = 81 degrees (I also don't know how to explain this.)
What is a solution to the equation 6t = 114?
A t = 19
B t = 108
C t = 120
D t = 684
Answer:
A t=19
Step-by-step explanation:
6t=114
t=114/6
t=19
Answer:
t=19
Step-by-step explanation:
Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2
Answer:
Yes
Step-by-step explanation:
3(x+5.50)-3
3x+16.50)-3
-3(3x+16.50)
Can I get some help on this math problem
Answer:
[tex]x=3\sqrt{5}[/tex]
Step-by-step explanation:
Right Triangles
Right triangles have one of its interior angles with a measure of 90°.
In right triangles the Pythagora's Theorem is satisfied.
Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:
[tex]c^2=a^2+b^2[/tex]
We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.
This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:
[tex]x^2=3^2+6^2=9+36=45[/tex]
[tex]x=\sqrt{45}=\sqrt{9*5}[/tex]
[tex]\boxed{x=3\sqrt{5}}[/tex]
Which relationship describes angles 1 and 2?
Question 1 options:
vertical angles
complementary angles
supplementary angles
adjacent angles
Answer:
it describes vertically opposite angle
Susan subscribed to a video game rental service. She pays the same
amount for each video game she rents plus a monthly fee to subscribe to
the service. The cost for different numbers of video game rentals are
shown in the graph.
Answer:
C
Step-by-step explanation:
Answer: C. $6.00 monthly fee and $1.25 per video game
Step-by-step explanation:
I did the test
solve x : 3 (x-1) +7= 4x +2 -3 (2-x)
Answer:
Step-by-step explanation:
x=2
remove the parentheses. cancel the equal terms. calculate. move the terms. calculate. divide both sides. x=2
(-7. + 3 + x) - (=6 - 7.3 + 2.)
I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT
Answer:
$8.50
Step-by-step explanation:
First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.
An elevator weighing 15,000 newtons is raised one story in 50 seconds. If the distance between stories is 3.0 meters, how much power is required of the motor? 750,000 W 45,000 W 5,000 W 900 W
Answer:
900 W
Step-by-step explanation:
pls help 20 points I just need an explanation
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
Which value of the variable is a solution of the inequality t > -5
Answer:
-4 and any number above.
If f(x) = x2 + 2x + 1 and g(x) = 3(x + 1)2, which is an
equivalent form of f(x) + g(x)?
O x2 + 4x + 2
O 4x2 + 2x + 4
O 4x2 + 8x + 4
o 10x2 + 20x + 1
The equivalent form of f(x) + g(x), if f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is
4x² + 8x + 4, so option C is correct.
What is a function?In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.
Given:
f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²
Calculate the equivalent form as shown below,
f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²
Simplify the above equation,
f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)
f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3
f(x) + g(x) = 4x² + 8x + 4
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Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?
exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times
Answer:
roughly 20 times
Step-by-step explanation:
2/6 = 1/3 is the probability he will roll a 3 or a 6
1/3 * 60 = 20.
It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.
At Emmy's Swimwear, there are 28 bikini styles and 42 other types of swimsuit. What percentage of the swimsuit styles are bikinis?
Answer:
Approximately 66.66% of swimsuit styles are bikinis.
Step-by-step explanation:
Given
Bikini styles Swimwear = 28Other types of Swimsuit = 42Let 'x' be the percentage of the swimsuit styles are bikinis.
so
x% of 42 = 28
[tex]\frac{x}{100}\times \:42=28[/tex]
[tex]42x = 100 \times 28[/tex]
[tex]42x = 2800[/tex]
divide both sides by 42
[tex]\frac{42x}{42}=\frac{2800}{42}[/tex]
simplify
[tex]\:\:x\:\approx \:66.66\:\%[/tex]
Therefore, Approximately 66.66% of swimsuit styles are bikinis.
Write the equation of the line passing through the points (-4,7) and (-7,4)
Answer:
y=x+11
Step-by-step explanation:
The sale amount is 1,250.00, 5% sales tax.
a. whats the sales Tax
b. What's the total amount paid
Answer:
1250*.05=62.5. Then just add it to the amount for the total dollars shw needs to spend with tax
Step-by-step explanation:
two friends are knitting scarves. Each scarf has 3 rectangles and 2/3 of the rectangles have stripes, If the friends are making 10 scarves, how many rectangles do they need? How many rectangles will have stripes?
Answer:
They need 30 rectangles and 20 of those rectangles will have stripes.
Step-by-step explanation:
3 x 10 = 30, (2/3) x 30 = 20
(1, 1), (–1,5)
find slope
Answer:
slope = 0MARK ME AS A BRAINLIST AND FOLLOW ME1345667-123445=?answer first
Answer:
1,222,222 is the answer
Step-by-step explanation:
You can use a calculator to find out.
A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field
Answer:
it is 679
Step-by-step explanation:
A secret code is made up of three digits followed by
two letters. How many different codes can be made if digits and
letters can be repeated? I NEED ASAP PLS HELP
plz very hard question
Answer:
150ft^2
Step-by-step explanation: all you need is the base (15 feet) and the height (20 feet) multiply and you get 300. 300/2 (triangle area.) and you get 150ft^2
Find the cost of 80 Orange at 5 for 30 naria
tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month .
Answer:
[tex]Salary = \$5670[/tex]
Step-by-step explanation:
Given
[tex]Items = \$27000[/tex]
[tex]Rate = 21\%[/tex]
Required
Determine her salary
Her salary is calculated as:
[tex]Salary = Rate * Items[/tex]
This gives:
[tex]Salary = 21\% * \$27000[/tex]
Convert % to decimal
[tex]Salary = 0.21 * \$27000[/tex]
[tex]Salary = \$5670[/tex]
what is pie? explain
Answer: Do you mean a pie chart or a dessert pie? anyway i will answer for the pie chart
Step-by-step explanation:
pie charts are used in data handling and they are circular divided up into different segments which each represent a value or a different size
1. A bag contains 4 gold coins and 5 silver coins. Two coins are taken out at random from the bag, one at a time, without replacement. Find the probability that
a. Both coins are gold.
b. The first coin is silver and the second coin is gold.
I think it's b. the first coin is silver and the second coin is gold.
The local gym wants to expand the entire building by doubling the size. Find the perimeter of the entire rectangle
Answer:
the perimeter is 50x
Step-by-step explanation: