Answer:
20.6
Step-by-step explanation:
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
The number of days taken to triple the population is 20.7 days.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
Now,
A = 2[tex]A_0[/tex]
t = 13
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]
2 = [tex]e^{13r}[/tex]
Taking logs on both sides.
log 2 = 13r log e
0.30 = 13r
r = 0.30/13
r = 0.023
Now,
A = 3[tex]A_0[/tex]
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
3 = [tex]e^{rt}[/tex]
log 3 = rt
0.48 = 0.023t
t = 0.48/0.023
t = 20.7 days.
Thus,
The number of days taken to triple the population is 20.7 days.
Learn more about functions here:
https://brainly.com/question/28533782
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Laura has 160 pounds of green beans at her vegetable stand. If she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
A
18.75%
B
81.25%
C
23.07%
D
16%
Given:
Laura has 160 pounds of green beans at her vegetable stand.
She sells 10 pounds of green beans every hour.
To find:
The percent decrease in green beans after 3 hours.
Solution:
We have,
Beans sold in 1 hour = 10 pounds
So, Beans sold in 3 hours = 30 pounds
Decrease in green beans after 3 hours is 30 pounds.
Now,
[tex]\%\text{Decrease}=\dfrac{\text{Decrease in green beans after 3 hours }}{\text{Initial amount of green beans}}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{30}{160}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{300}{16}[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=18.75\%[/tex]
Therefore, the correct option is A.
Which of the following ratios are equivalent to 34:21?
Answer:
https://brainly.com/question/19692618
Step-by-step explanation:
https://brainly.com/question/19692618https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618
Mr. Vitorello spends 35% of his salary on rent. He makes $2,500 each month. How much does he spend on rent each month?
Answer: He spends 875 a month on rent.
Step-by-step explanation:
35 x 2500 = 87500
87500 / 100 = 875
Hope this helps :)
Answer:
He spends $10,500
Step-by-step explanation:
Since salary is yearly we multiply 2500 by 12 and we get 30000
And 35% of 30000 is 10500
WILL GIVE BRAINLEST What expression can be used to determine the total cost of buying c pounds of cashews for $ 2.95 per pound and s pounds of sugar for $0.72 per pound? Choose the correct expression for determining the total cost.
2.95c -0.75s
3.67-(c+s)
2.95 + 0.72s
0.72 + 2.95s
Answer:
1pound of granola= $3.25
g pound of granola=g*3.25
=3.25g$
1 pound of flour = 0.74$
f pound of flour = f*0.74
= 0.74f$
The expression to determine the total cost of buying the above items= (3.25g+0.74f)
Step-by-step explanation:
I don’t get this please help me
Answer:#1: 1225
#2: 1149
Step-by-step explanation:
Hope this helps! :) ❤❤❤
There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?
Im not sure on this question can someone answer this?
Answer:
[19+7÷(2×6)+1]
19+7÷12+1
26÷13
2
Answer:
Step-by-step explanation:
(19+7)÷(2×6+1)
A 10-foot by 12-foot wall has two windows that measure 3 feet by 5 feet each.
5 feet
5 feet
10 feet
3 feet
3 feet
12 feet
If the windows are not to be painted, what percent of the wall will be painted?
12 ft maybe? i dunno im sorry if this is wrong
The average number of pounds of meat that a person consumes a year is 218.4 pounds. Assume that the standard deviation is 25 pounds and the distribution is approximately normal. If a sample of 40 individuals is selected, find the probabil
Answer:
The answer is "0.9217".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\mu = 218.4 \\\\ \sigma = 25\\\\\bar{x}= 224 \\\\ n = 40 \\\\[/tex]
[tex]z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\\[/tex]
[tex]= \frac{224 - 218.4}{\frac{25}{\sqrt{40}}} \\\\= 1.4167\\\\\to P( \bar{x}< 224) = P(z< 1.4167) = 0.9217[/tex]
Carlos drove 200 miles in 5 hours. If he drove at a constant rate, how many miles did Carlos drive per hour?
Answer:
40
Step-by-step explanation:
200/5=x/1
Answer:
40
Step-by-step explanation:
200/5 = 40
nice dumb questions
Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings
Answer:
15/20 cups of cranberry juice
Step-by-step explanation:
3/5 cranberry juice makes 12
12/2=6
3/5= 0.3
6/2=3
0.3/2= 0.15
0.15 = 3/20
3/20 cranberry juice makes 3 servings.
add 3 and 12 to make 15 servings, add 3/5 and 3/20.
3/5= 12/20
12/20 + 3/20 = 15/20 cups of cranberry juice
You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y after x seconds.
Find the quadratic function y=ax^2+bx+c whose graph passes through the given points.
1 -> 339
3 -> 271
4 -> 189
Answer:
1
Step-by-step explanation:
A survey of 800 students yielded the following information: 519 were seniors, 430 were commuters, and 300 of the seniors were commuters. How many of the 800 surveyed students were seniors or were commuters?
Answer:
The number is [tex](S \ u \ C ) = 649[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 800
The number of seniors is S = 519
The number of commuters is C = 430
The number of of seniors that are commuters is [tex](S\ n \ C )= 300[/tex]
Generally the number of 800 surveyed students who were seniors or were commuters is mathematically evaluated as
[tex](S \ u \ C ) = S + C - ( S \ n \ C )[/tex]
=> [tex](S \ u \ C ) = 519 + 430 - 300[/tex]
=> [tex](S \ u \ C ) = 649[/tex]
If we find that the null hypothesis, Upper H Subscript 0 Baseline colon beta Subscript j Baseline equals 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should:___________
Answer:
Remove the variable from the Model
Step-by-step explanation:
Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.
Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.
So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.
What is the independent variable of y=3.5x+2.8
Answer:its y and x = 6.3
Step-by-step explanation:
look
You deposit $600 in a account earning 5% interest compounded annually. How much will you have in the account in 15 years?
Answer:
$1050 in total including the interest.
Step-by-step explanation:
The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050
Convert 75 kilograms to pounds.
pounds
Answer:
165.34 pounds OR 165 lb
Step-by-step explanation:
5x+2(x+6)
A.7x+6
B.7x^2+12
C.7x+12
D.7x(x+6)
Jason practiced making soccer goals and kept her track of the results. He missed 3 goals but made 9 in one practice session. What can Jason predict regarding goal made if his next practice session has 24 tries?
Use the drop-down menus to answer the following questions.
What natural element is one of the best preservers of prehistoric life?
What clues in fossils help scientists identify different ice ages?
Answer:
1st Question is ice
2nd Question is plant and animal remains
Step-by-step explanation:
Edg. 2020
Answer:
What natural element is one of the best preservers of prehistoric life?
✔ ice
What clues in fossils help scientists identify different ice ages?
✔ plant and animal remains
Step-by-step explanation:
edge
Use the Venn diagram below. How many students play soccer and baseball, but not volleyball? How many play exactly two sports?
Soccer
Baseball
7
3
8
4
2
5
Volleyball
A 3; 12
B. 3: 14
C. 5:14
Answer:
A. 3;12
Step-by-step explanation:
in the crossover between the baseball section and the soccer section it shows 3 people who play those two sports. those crossovers are with people who play exactly 2 sports, if you add them all 3+5+4 you get 12 people who play only 2 sports.
PLEASE HELP. I need the answer ASAP.
Answer:
Its D
Step-by-step explanation:
1. Combine like terms in 2 + x + 3y + 4x + 2y + 5.
2. Combine like terms in 2x + 3xy + 4 + 5yx.
please due in 5 minutes please
Answer:
Detailed step by step solutions to your Combining like terms problems online with our math solver and calculator. Solved exercises of Combining like terms. Calculators Topics Solving Methods Go Premium. ... $-2+9y-4x-2y-3x$ 3. Combining like terms $9y$ and $-2y$ $-2+7y-4x-3x$ 4. Combining like terms $-4x$ and $-3x$ $-2+7y-7x$ Final Answer $-2 ...
Step-by-step explanation:
North and South had conflict over which of the following? (lol I accidentally put this as math but it's HISTORY)
A. Slavery
B. Tariffs
C. States' Rights
D. All of the above
Answer: I think D
Step-by-step explanation: I know slavery and states rights but i don’t know about the b one
Answer: All of the above
Step-by-step explanation: The south wanted slavery, lower or no tariffs, and individualized states writes. On the other hand, the north wanted no slavery, tariffs, and a central government.
Jalen had read 14 chapters out of the book .. if this is 56% of the chapters, how many chapters are in the book?
Answer:
25 Chapters
Step-by-step explanation:
We are given:
Number of Chapters read = 14
Percentage of Book finished = 56%
Number of Chapters in the Book:
Since 56% of 'x' chapters is 14:
[tex]x*\frac{56}{100}[/tex] = 14
[tex]x = \frac{14 * 100}{56}[/tex] [multiplying both sides by 100/56]
[tex]x = \frac{100}{4}[/tex] [since 14*4 = 56]
x = 25
Therefore, the book has 25 chapters
Answer:
The book has a total of 25 chapters.
Step-by-step explanation:
We are given that Jalen has read 14 chapters of his book. We are also given that 14 chapters is 56% of the entire book. We need to find how many chapters are in the book.If 14 is 56% of the book, we can set up a proportion that can find the total number of chapters in the book.
A proportion looks like:
[tex]\displaystyle \frac{a}{b} = \frac{c}{d}[/tex]Our first fraction will be the two values we are given: 14 chapters and 56% of the book.
[tex]\displaystyle \frac{14}{56}[/tex]Then, our second fraction will contain an unknown variable. We would need to complete this many chapters to complete the book, so 100% of the book would be read once a certain number of chapters are reached. Therefore, we don't know how many chapters are needed to complete the book, so this is our unknown variable. We can define this as x.
Therefore, our second fraction is:
[tex]\displaystyle \frac{x}{100}[/tex]Now, we can set these fractions equal to each other.
[tex]\displaystyle \frac{14}{56} = \frac{x}{100}[/tex]Then, we can cross multiply our fractions to create an equation. Following our sample proportion, we would get:
[tex]{ac = bd}[/tex]So, we can follow the same policy with our proportion.
[tex]\displaystyle (14)(100) = (56)(x)\\\\1400 = 56x\\\\56x = 1400\\\\\frac{56x}{56} = \frac{1400}{56}\\\\x = 25[/tex]
Therefore, 56% of the book is 14 chapters. With this information, we have determined that 100% of the book is 25 chapters.
Recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 8 randomly selected scores is less than 161?
Answer:
0.40166
Step-by-step explanation:
When given random number of samples, we solve using the z score formula:
z = (x-μ)/σ/√n where
x is the raw score= 161
μ is the population mean = 162.4
σ is the population standard deviation = 15.9
n is random number of samples = 8
Hence,
z = 161 - 162.4/15.9/√8
z = -0.24904
Probability value from Z-Table:
P(x<161) = 0.40166
The probability that the mean of 8 randomly selected scores is less than 161 is 0.40166
alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?
Answer:
OK
Step-by-step explanation:
LOL SO WHAT I . DID
IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3
Help please! I’ll give brainliest too!
Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:
y-intercept (b) = -5
✔️using two pairs from the table, (1, -1) and (2, 3):
[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4 [/tex]
Slope = 4
✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.
Thus:
y = 4x +(-5)
y = 4x - 5
can u pls help me with this question
Answer:
I think is 2/9 but I may be wrong
The stock of Company A lost 1.5% today to $19.70. What was the opening price of the stock in the beginning of the day?
Answer:
23.78
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