Answer:
I believe you are!
Step-by-step explanation:
Yes, you are doing right
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.8% per hour. How many hours does it take for the size of the sample to double?
It will take 5.189 hours to get doubled the size of Sample.
What is Exponential Function?A relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given:
Growth rate = 5.8%
The continuous exponential growth model for populations is given by:
P(t)= \(P_0 e^{rt\)
So, r= 5.8%
r = 0.058
Now, the time taken to double the sample then P(t) = 2P(0).
So, P(t)= \(P_0 e^{0.058t\)
2P(0) = \(P_0 e^{0.058t\)
\(e^{0.058t\) = 2
Taking log on both side
log \(e^{0.058t\) = log 2
0.058 t = 0.301
t= 0.301/ 0.058
t = 5.189
Learn more about exponential Function here:
https://brainly.com/question/23064497
#SPJ1
What is with simplifying
-3p + 6p
Answer:
-3p+6p=3p
Step-by-step explanation:
It's just like saying -3+6,
but just with the p.
-3+6=3
therefore the answer is 3p
There are three different sections to sit in at at a baseball park. The number of people who can sit in each section is described below rest section seats.
red section seats 200 people.
blue section seats 20 fewer people than the red section.
green section seats 2 times as many people as the blue section.
what is the total number of people who can sit in the baseball park?
Answer:
560 is the answer hope the helps.
Step-by-step explanation:
The measures of two complementary angles are m angle 1 = (10x+7) and m angle 2=(9x-12) find the measures of both angles
Answer:
m<1 = 57°
m<2 = 33°
Step-by-step explanation:
To find the numerical measure of both angles, let's come up with an equation to determine the value of x.
Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.
Equation we can generate from this, is as follows:
(10x + 7)° + (9x - 12)° = 90°
Solve for x
10x + 7 + 9x - 12 = 90
Combine like terms
19x - 5 = 90
Add 5 to both sides
19x = 90 + 5 (addition property not equality)
19x = 95
Divide both sides by 19
x = 5
m<1 = (10x +7)°
Replace x with 5
m<1 = 10(5) + 7 = 50 + 7 = 57°
m<2 = (9x - 12)
Replace x with 5
m<2 = 9(5) - 12 = 45 - 12 = 33°
Need help ASAP Will mark u brainlyest
answer number 3
Answer:
Sub the values for x and y into the equations.
Step-by-step explanation:
x = 2
y = 1
Y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1
Y = -½x + 2
1 = -½(2) + 2
1 = - 1 + 2
1 = 1
A recipe calls for 2 tsp of oatmeal to make 7 protein bars.
How much oatmeal is needed to bake 27 protein bars?
A) 3 1/3 tsp
B) 9 tsp
C) 21 tsp
D) 81 tsp
Answer:
3 1/3 is the answer im pretty sure
what is 1(0b+10a) ???????????????????
Answer:
10b+10a
Step-by-step explanation:
Answer:
The answer is 10a
Step-by-step explanation:
(1)(0b+10a)
=(1)(0b)+(1)(10a)
=0+10a
=10a
Hope this helps :)
Twice a number added to another number is 15 the sum of the two numbers is 11 find the numbers.
Answer:
the numbers are 4 and 7
Step-by-step explanation:
"twice a number added to another number is 15" --- 4(2) + 7 = 15
"the sum of the two numbers is 11" --- 4 + 7 = 11
Question 2b answer please
and working out
Answer:
20 mph
Step-by-step explanation:
If it took the car originally 12 minutes to travel the road with an average speed of 60 mph. Than you would just divide the average speed by three because it is taking 3 times the amount of time than it would originally.
36/12=3
60/3=20
20 mph
In your own words, explain what a rational expression is and give and example of one.
Answer:
A rational expression is when the numerator and the denominator are polynomials. An example is 5/x − 2
guys I have a band test and pleaseeeee help me out
The natural minor scale -
A follows the key signature of the relative Major.
B Follows the key signature of the relative Major and adds the leading tone.
C follows the key signature of the relative Major, and raises the 6th and 7th ascending, and flats the 6th and 7th descending.
D has the same root as the relative Major.
Answer:
i think its c
Step-by-step explanation:
1. How many equal parts are there in this image?
Answer:
6 because their are 6 squares that are equal
Answer this Fraction based Question I will provide you 50point + make you as brainliest.
It is given that 2/5 of all patients admitted to ward 17.
Remining fraction is:
1 - 2/5 = 5/5 - 2/5 = 3/5So 3/5 of patients admitted to ward 18.
Since 1/6 of all patients moved to another ward, and the reminder assigned as before, the initial fraction becomes:
1 - 1/6 = 6/6 - 1/6 =5/6Now, 3/5 of the new fraction, 5/6 is admitted to ward 18.
That is:
3/5*5/6 = 3/6 = 1/2This is half of the patients.
The difference of the number of the patients admitted to ward 17 is the same fraction of the number of infected:
10*2/5 = 4So the difference of patients is 4.
Please solve and show work pleasee
Answer:
Step-by-step explanation:
y=-x+2 equation 1
y=3x-2 equation 2
sub equation 1 into 2
-x+2=3x-2
-x+2-3x+2 =0 (bring everything to one side and to equal 0)
-4x+4=0 (collect like terms and go with the sign given)
-4x=-4 (bring 4 over to the other side to isolate)
-4x/-4=-4/-4 (divide to isolate)
x=1
y=-3x+3 equation 1
2x+y=1 equation 2
y=-2x-1 Rearrage equation 2 (now equation 3)
sub equation 1 into 3
-3x+3=-2x-1
-3x+3+2x+1 =0 (bring everything to one side and to equal 0)
-x+4=0 (collect like terms and go with the sign given)
-x=-4 (bring 4 over to the other side to isolate)
Which of the following describes a situation in which it is reasonable to reach a cause-and-effect conclusion based on data from a statistical study?answer choices- The study is based on a random sample from a population of interest.- The study is observational, and the sample used is not a convenience sample.- The study is an experiment that uses random assignment to assign volunteers to experimental conditions (treatments).- It is never reasonable to reach a cause-and-effect conclusion based on data from a statistical study.- It is always reasonable to reach a cause-and-effect conclusion based on data from a statistical study.
The correct answer is: The study is an experiment that uses random assignment to assign volunteers to experimental conditions (treatments).
What is statistical study?A sample is an analytic subset of a larger population in statistics. The utilization of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.
Here,
A study that uses random assignment to assign volunteers to experimental conditions (treatments) is considered the best design to establish cause-and-effect relationships. In this type of study, researchers can control the variables and minimize extraneous factors that could confound the results. By using random assignment, the volunteers in the experimental and control groups are similar on average, making it more likely that any observed differences between the groups are due to the treatments.
The correct answer is: The research is an experiment in which volunteers are randomly assigned to experimental settings (treatments).
To know more about statistical study,
https://brainly.com/question/27209836
#SPJ4
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
For more questions on algebraic expression:
https://brainly.com/question/29333936
#SPJ8
ALOT OF POINTS EAZY !!!!
Answer: The order is
29, 36, 42, 49, 52, 59
Step-by-step explanation: I hope this is what you were looking for let me know if you need a better answer
Mean- 42.2
Median- 45.5
Mode- 29
Midrange- ??
Range- 29
Minimum- 29
Maximum- 57
Sum- 422
Hope this helped! have a great day! :D
ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
What is a quartic function with only two real zeros of x=0 and x=4
The quartic function with only two real zeros of x=0 and x=4 is x² - 4x = 0
What is a quartic function?A quartic function is a quartic polynomial, that is, a polynomial with integer coefficients whose highest degree is four. The coefficient of the variable to the fourth degree cannot be zero. Examples of quartic functions include
From the roots;
a = 0 ; b = 4
From the polynomial expressions
x² - (a +b)x + ab = 0
x² - (0 +4 )x + 0*4 = 0
x² - 4x = 0
Learn more about quartic function at:https://brainly.com/question/25841119
#SPJ1
A customer at an electronics store opened a store credit card to purchase a computer for $1,800. The store put the entire purchase on the credit card with an APR of 17.99%. The customer
pays $125 per month until the balance is paid off. Determine the total amount of interest paid.
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
O $188.09
O $295.01
O $243.11
O $182.45
The last row of the table will show the total interest paid, which is approximately $243.11.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
To calculate the total interest paid,
we need to first find out how many months it will take to pay off the entire balance.
We can use the following formula to calculate the number of months:
N = -log(1-(r×b/p))/log(1+r)
where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.
In this case,
r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.
Plugging these values into the formula, we get:
N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24
So it will take about 16.24 months to pay off the entire balance.
Using a spreadsheet, we can create a table with the following columns:
Month: 1 to 16
Balance: starting with $1,800 and decreasing by $125 each month
Interest: calculated as the monthly interest rate times the balance
Payment: $125
Total Interest: calculated as the sum of the interest for all previous months
The last row of the table will show the total interest paid, which is approximately $243.11.
Therefore, the value is (C) $243.11.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ1
Answer: Option C is correct $243.11
Step-by-step explanation: I got it right On the test!!!
The major characteristic of the data that affects the selection of appropriate statistics is:
Group of answer choices
the level of measurement
the size of the population.
the representativeness of the sample
the number of cases
The major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.
What is statistics?
Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods to gather, summarize, and interpret data, which can be used to make decisions or draw conclusions about a population based on a sample of that population.
The level of measurement determines the type of statistical analysis that can be used to analyze the data. Different types of statistical methods are used depending on the level of measurement of the data.
For example, if the data is nominal (categorical data with no inherent order), then we might use frequency distributions or chi-square tests to analyze it. If the data is interval or ratio (continuous data with an inherent order and equal intervals between values), then we might use measures of central tendency and dispersion, correlation, or regression analysis to analyze it.
Therefore, the major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.
To know more about Statistics visit:
https://brainly.com/question/15525560
#SPJ1
simplify x ^2 ⋅ x ^−12
Answer:
x^2*x^-12= 1/x^10
What is the sum of 27 and r
Answer:
27+r
Step-by-step explanation:
Answer:
27 + r
Step-by-step explanation:
The sum of 27 and r is 27 + r
Since 27 + r cannot be simplified, 27 + r is our answer.
Hoped this helped
A study of black bears in the Adirondacks reveals that their population can be represented by the function P(t) = 3500(1.025)', where t is the number of years since the study began. Which function is correctly rewritten to reveal the monthly growth rate of the black bear population? Show work.
(1) P(t) = 3500(1.00206)¹²t
(2) P(t) = 3500(1.00206)¹/¹²
(3) P(t) = 3500(1.34489)¹²t
(4) P(t) = 3500(1.34489)¹/¹²
The function of the monthly growth rate is P(t) = 3500(1.34489)^t
How to determine the function of the monthly growth rateFrom the question, we have the following parameters that can be used in our computation:
P(t) = 3500(1.025)^t
This represents the annual growth function
Where t is the number of years
Convert time from years to months
So, we have
T = 12 * t
This means that we replace t with 12t in P(t) = 3500(1.025)^t
So, we have
P(t) = 3500(1.025)^(12t)
Evaluate the exponent
P(t) = 3500(1.34489)^t
Hence, the function is P(t) = 3500(1.34489)^t
Read more about exponential functions at
https://brainly.com/question/11464095
#SPJ1
Carly, an office manager, needs to find a courier to deliver a package. The first courier she is
considering charges a fee of $13 plus $3 per kilogram. The second charges $5 plus $4 per
kilogram. Carly determines that, given her package's weight, the two courier services are
equivalent in terms of cost. What is the weight? How much will it cost?
At a package weight of
kilograms, the two couriers both cost $
Answer:
At a package weight of 8 kilograms, the two couriers both cost $37
Step-by-step explanation:
Let's say the package weighs w kg.
First courier: 13 + 3 per kg = 13 + 3 for each w = 13 + 3w
Second courier: 5 + 4w
They are equal in cost, so
13 + 3w = 5 + 4w
subtract 3w from both sides to put all the variables on one isde
13 = 5 + w
subtract 8 from both sides to solve for w
w = 8
plug w=8 into one side of the original equation to solve for cost
13 + 3w = 5 + 4w = 37
The compound shape below is formed from a rectangle and a sector of a circle. Calculate the area of the compound shape. Give your answer in cm² to 1 d.p.
The area of the compound shape is given as follows:
154.2 cm².
How to obtain the area of a compound shape?The shape is composed as follows:
Rectangle with side lengths 8 cm and 13 cm.Sector of a circle, 41º when an entire circle is composed by 360º, with a radius of 4 cm.For the rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 13
Ar = 104 cm².
For the circle, the area is given by the multiplication of pi = 3.14 by the radius squared, hence:
Ac = 3.14 x 4²
Ac = 50.2 cm².
Hence the total area is given as follows:
A = Ar + Ac
A = 104 + 50.2
A = 154.2 cm².
More can be learned about area at https://brainly.com/question/21735282
#SPJ1
consider the following data for two independent random samples taken from two normal populations. sample 1 10 7 14 7 9 7 sample 2 9 7 8 4 5 9
a. Compute the two sample means.
Sample 1: Answer 9
Sample 2: Answer 7
b. Compute the two sample standard deviation (to 2 decimals).
Sample 1: Answer 2.28
Sample 2: Answer 1.79
c. What is the point estimate of the difference between the two population means? Answer
d. What is the 90% confidence interval estimate of the difference between the two population means (to 2 decimals - - use 9 degrees of freedom)? Answer
C. The point estimate of the difference between the two population means is 2.
D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)
Given that:
Sample 1 mean (x1) = 9
Sample 2 mean (x2) = 7
Sample 1 standard deviation (σ1^2) = 2.28
Sample 2 standard deviation (σ2^2) = 1.79
C. To find point estimate of the difference between the two population means.
sample mean(x1) - sample mean(x 2)
= 9 - 7
= 2
Therefore, point estimate = 2
D. To find 90% confidence interval estimate of the difference between the two population means
90% confidence for 't'
df = (n1 + n2) - 2
= 12-2
= 10
90% confidence with df = 10 is t
t = 1.812
point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)
2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)
3 - 1.812 *\(\sqrt{0.866 + 0.534}\)
1.188 * 0.9305 + 0.7307
(1.748, 0.867)
To learn more about point estimate check the given link
https://brainly.com/question/16256145
#SPJ4
Allyssa has a tuition payment of 54,900
of which her parents have agreed to pay
10%. She will save the rest by putting
away how much per month over 2 years?
Answer:
(1 - 0.85)*9000 / 12
Step-by-step explanation:
Hope this helped! :)
Benjamin is four years younger than Kevin Williams for years less than twice Benjamin’s age and William is 22 how old are Kevin and Benjamin
A contractor is tiling the bottom of a round fish pond with 1-inch square tiles that cost $0.12 each. the fishpond has a diameter of 30 inches. how much will he spend on tiles?
Answer:
about $3.60
Step-by-step explanation:
Because it's a round pond and the tiles are square they might be cut a little but the main point of the question would be the 12 cents PER tile. Per is the one of the words to show multiplication. So you multiply .12 x 30 to get 3.6 and since this is money it would be $3.60
Hope that helps and have a great day!
Answer: $84.78
Step-by-step explanation:
If the bottom of the fish pond is round which means it has to be a circle, and to find the space that needs to be covered,you need to find the area of the bottom of the pond.
So it has a diameter of 30 and to find the area you need to find the radius,square it and multiply it by pi.
The radius will be 15 because the radius is half the diameter.
A= 15^2 * 3.14 we will use 3.14 as an approximation for pi.
A= 225 * 3.14
A= 706.5
Now after you have find the area multiply it by the amount of money that each tile cost to fin the total amount of money you have to pay.
706.5 * 0.12= 84.78
So approximately you will spend $84.78 on tiles