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.
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3. In a survey of 200 people about a bus company, 77 said they were satisfied with the bus
company's performance. What percent of the people were satisfied with the bus company's
performance?
O 23%
38.5%
061.5%
077%
The percentage of the people that were satisfied with the bus company's performance is: B. 38.5%
Given the following data:
Population = 200 peopleSatisfied people = 77 peopleTo determine the percentage of the people that were satisfied with the bus company's performance:
In this exercise, you're required to find the number of the people that were satisfied with the bus company's performance as a percentage of the total population in this survey.
Thus, we would use this formula:
[tex]Percentage = \frac{Satisfied\;people}{Population} \times 100[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}[/tex]
Percentage = 38.5%
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Evaluate the expression when b=-4 and y=2.
2y-b
3(x+2)+5x how do i simplify that expression?
Answer:
2(4x+3)
Step-by-step explanation:
Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5
Combine the terms 3 + 6 + 5 to 8 + 6
Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )
Which of the following is the measure of an acute angle? O A. 112° O B. 90° O C. 78° O D. 182
Answer:
C
Step-by-step explanation:
because acute angles have to be less than 90 degrees so therefore it's C.
Answer:
it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c
Step-by-step explanation:
i need help w this pls :)
Answer:
x8 y6
Step-by-step explanation:
find the indefinite integrals
Answer:
Below in bold
Step-by-step explanation:
∫ dx / (x^2√(9-x^2))
Substitute x = 3sinu and dx = 3cosu du
then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u and u = arcsin(x/3)
= 3 ∫(csc^2 u du )/ 27
= 1/9 ∫(csc^2 u du
= -1/9 cot u
= -√9-x^2) / 9x.
Solve 2x^2 - x ≥ 15. Show your work
Answer:
x ∈ 〈-∞,-5/2]∪[3,+∞〉
Step-by-step explanation:
2x²-x-15 ≥ 0
2x²+5x-6x-15 ≥ 0
x(2x+5)-3(2x+5) ≥ 0
(2x+5)(x-3) ≥ 0
so
2x+5 ≥ 0
x-3 ≥ 0
2x+5 ≤ 0
x-3 ≤ 0
solve the equation
x ≥ -5/2
x ≥ 3
x ≤ -5/2
x ≤ 3
x ∈ [3,+∞〉
x ∈ 〈-∞,-5/2]
so x ∈ 〈-∞,-5/2]∪[3,+∞〉
PLS HELP SO CONFUSED POSSIBLE BRANLIEST
The figure below shows the letter Z and four of its transformed images—A, B, C, and D:
A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.
Which of the four images was formed by a reflection of the letter Z?
A
B
C
D
Answer: The correct answer is A.
Step-by-step explanation: The answer is A, because a reflection would be reflected, therefore it is on the right side of the graph and the Z is facing the other way as if it were a literal reflection.
A
give the other brainliest
in math what does it mean for something to be “squared”
someone pls explain
Answer:
its an exponent of 2
Step-by-step explanation:
2
3. = 3 ×2 or 3+3
-4+6p+18+3p=9(p+1)+5
What is the answer?
Answer:
Step-by-step explanation:
Expand
-4 + 6px + 18 + 3p = 9p + 9 + 5
Simplify
14 + 9p = 9p + 14
Solve
Take away 14 from both sides
9p = 9p
p = p
p = 0
Step-by-step explanation:
as shown in the photo
p equals to p
The measure of angle b = 80° and the measure of angle c = 40°. the measure of angle a equals....?
angle a = 180°-80°-40°=60°
Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)
Answer:
6/12 or 1/2 If you simply
Step-by-step explanation:
multiply straight across
Answer:
1/2
[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]
please help NEED NOW
thank youu
Answer:
C
Step-by-step explanation:
not a hundred percent but it makes the most sense
Helpppppppppp asappppppppp 20 points
Here’s a small hint: “miles per hour”
Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!
Answer:
i say its c
Step-by-step explanation:
An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is the cost of installing the pitch????
The Cost of installing the artificial soccer pitch is $5360
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.
The soccer pitch us rectangle in shape. Hence:
Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters
Cost of installing the pitch = $20 per meter * 268 meters = $5360
The Cost of installing the artificial soccer pitch is $5360
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Which correlation coefficient best matches the graph?
Answer:
The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.❤
A solid wood cone 12 cm in diameter and 8 cm high sells for $1.19. A second wood cone is 17 cm in diameter and 12 cm high. the fair price for this second cone rounded to the nearest cent, is
a) $2.53,
b) $3.58
c) $5.06
d) $10.75
e) $14.33
Answer:
Answer is a
Step-by-step explanation:
I think it's "A", im looking for answer as well :(
I need help with this question
Answer:
Option D
Step-by-step explanation:
a^2 + b^2 = c^2
5^2+b^2=9^2
25+b^2=81
b^2=56
b=2√14
School yearbooks were printed and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release .which graph could represent the data shown in the table? Table and options below!
PLS HURRY!30 POINTS ANS BRAINLEST!
Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.
The function is an increasing function. The graph that represents the table will be A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The table is given below.
Week Number of sales
1 84
2 102
3 158
4 271
The slope at different will be given as,
m₁ = (102 - 84) / (2 - 1)
m₁ = 18
m₂ = (158 - 102) / (3 - 2)
m₂ = 56
m₃ = (271 - 158) / (4 - 1)
m₃ = 113
The capability is a rising capability. The diagram that addresses the table will be A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
i dont know someone help pls
Answer:
The answer is $242
Step-by-step explanation:
We can set up two equations for this one:
286 = 13 * (rate per hour)
divide both sides by 13:
22 = rate per hour
Then knowing her rate per hour is 22 dollars
22 * 11 hours of work = $242
At the same rate she will make $242 in 11 hours.
Kala made $286 for 13 hours of work . Therefore, let's find the rate.
What is rate:Rate is simply the ratio between two values with different units. In our case, its the amount made in dollars versus the time taken to make that amount.
Therefore,
rate = amount made(dollars)/ time taken(hours)
rate = 286 / 13
rate = 22 dollars per hour
At the same rate the amount she will make in 11 hours can be calculated as follows:
rate = amount / 11
22 = amount(dollars) / 11
cross multiply
amount(dollars) = 22 × 11
amount(dollars) = $242
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What is the reciprocal of 64?
Please help!!! what are the 3 solutions of 0
CAN SOMEONE HELP ME PLEASE ASAP!?
if u can get a better picture I can help you
help me with this no links
Answer:
6 maybe I'm not sure jkeneekenene
Answer:
3x
Step-by-step explanation:
A rectangle is similar to a square, in the sense that opposite sides will always be the same. Because we are given the side of the length is 3x-3, this means that the other length will too be 3x-3. Now, we may add these:
(3x-3)+(3x-3)=6x-6
And because we are given our perimiter, simply subtract the lengths we do know:
(12x+6)-(6x-6)=6x
This is the perimetor we have left in our shape. Because we again know that opposing sides are the same length, simply dividing our answer by two will give us the length we need:
6x/2=3x
Based on this, our length of the indicated side is 3x!
Hope this helped!
Need help now pls on HS geometry
Answer:
b
Step-by-step explanation:
RT is a perpendicular bisector of QS , then
Δ QRS is isosceles with 2 congruent legs , that is
QR = SR
7x - 22 = 4x + 5 ( subtract 4x from both sides )
3x - 22 = 5 ( add 22 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41
5 |2x + 6| = 25 what is x
Step-by-step explanation:
මාපාංක සුලු කිරිම.
l xl means ± x .
then |2x+6| = ±(2x+6)
for positive no;
5 (2x+6) = 25
10x + 30 = 25
10x = -5
x = -1/2
for negative no;
5(-2x - 6) = 25
-10x - 30 = 25
-10x = 55
x = - 11/2
otherthan that I observed.
5 |2x + 6| means only consider about the positive number. i think it called as amplitude.
then you have to calculate by considering only considering plus value.
How ever in my openion is first method is correct. i have doubt about that. so you have to discuss your teacher dear. to find correct way.
x+y=3
workout the value of 2x-2y
Answer:
-2
Step-by-step explanation:
x= 1
y= 2
2 times x(1)=2
2 times y(2)=4
2-4= -2
h(x) = x^2 - 5x +7
Find h(-5)
Answer:
57
Step-by-step explanation:
h(-5) = (-5)^2 - 5(-5) + 7
h(-5) = 25 + 25 +7
h(-5) = 57
Answer:
[tex]\bold{h(-5)=57}[/tex]
Step-by-step explanation:
Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]
[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]
[tex]-5^2 - 5(-5) +7[/tex]
PEMDAS order of operations
Parenthesis
[tex]\bold{-5\times(-5)}\\=25[/tex]
[tex]-5^2+25 +7[/tex]
Exponents
[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]
[tex]25+25 +7[/tex]
Addition
[tex]25+25+7\\=50+7\\=57[/tex]
Therefore, [tex]\bold{h(-5)=57}[/tex].
y=2x squared +4x-1 . help me
Answer:
y = 9/8 for part one of solving y in this equation .
Step-by-step explanation:
Answer:
x= (√2y+6/2)-1
Step-by-step explanation:
Swap sides so that all variable terms are on the left hand side.
2x^2+4x−1=y
Subtract y from both sides.
2x^2 +4x−1−y=0
Using quadratics formula:
x=-4±√4²-4*2(y-1)/2*2
x= −4±2√ 2y+6/4
Next solve the equation by using either ± = subtraction or addition
I am using ± = addition. This means I add -4 to 2. From there I simplify equation.
x= (√2y+6/2)-1
Not sure if this means to find x, but I think this is what it would be.
Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.
Answer:
Above is the answer, coupled with detailed step-by-step explanations. Thank you!