Find the time required for an object to cool from 280°F to 220°F by evaluating the following where t is time in minutes. (Round your answer to four decimal places.) *280 t= 10 In 2 1 dT T – 100 min
Answers
9514 1404 393
Answer:
5.8496 min
Step-by-step explanation:
[tex]\displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}[/tex]
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Modern calculators can perform integration with high accuracy. This one gives the same result.
Related Questions
if the game begins at 1 pm and charlie and his friends take 1.5 hours to get to the field what time should they leave
Answers
Answer:
11:30am
Step-by-step explanation:
Answer:
Charlie and his friends should leave by 11:30 am at the latest.
x^3=27 what is the value of x?
Answers
Answer:
x = 3
Step-by-step explanation:
3*3*3 = 9*3 = 27
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex]x^3 =27[/tex]
Step 1: Take cube root.
[tex]x = (27)^(1/3)[/tex]
[tex]x=3[/tex]
Explanation in words (Short Form)
- Move the variable to the left and the other values to the right to determine the value of x. To ascertain the outcome, simplify the values.
- In this equation (x^3=27), we can solve this equation by taking the cube root and then ascertaining the outcome. The answer will result as x = 3 at the end for the following equation: x^3=27 to finding the value for x.
Answer:
[tex]x=3[/tex]
Hope this helps.
The map shows the distance in air miles from City A to both City B and City C.
City B
49 miles
N
City A 66 miles City C
Which of the following could be the distance between City B and City C in air miles?
O 114 miles
O 116 miles
O 118 miles
120 miles
Answers
Aaron works at a furniture store. He sells a table that normally costs $670 but is on sale
for 15% off. If he makes 8% commission on
the sale price, how much will he make in
commission?
Answers
Answer :$45.56
Self explanation:
A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the class. The data is summarized in the histogram to the right. There were fifteen people who participated in the class between the ages of 25 and 45. Use the histogram to answer the question. What is the approximate percentage of participants that had a heart rate less than 130 bpm?
Answers
Answer and Explanation:
Please find full question attached
From the bar chart, we can see that the the interval 130-150 has two bars in it:
Interval 130-140 with the highest frequency of 5
Interval 140-150 with frequency of 2
Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100
=7/15×100= 46.67%
Percentage of participants with heart rate between 130 and 150 =46.67%
From Barbie dolls to runway models, women in Western countries are exposed to unrealistically thin and arguably unhealthy body standards for their gender. A body mass index (BMI) between 18.5 and 24.9 is considered healthy. Using a 3D computer avatar, participants built what they considered the ideal body of an adult of their own gender. Below appears a summary of the results for a sample of 40 female heterosexual Caucasian undergraduate students from British universities that had been recruited by the researchers. Mean BMI was recorded to be 18.85 with standard deviation 1.75. Does the data provide evidence that young Caucasian women in British Universities, on average, aim for an unhealthy ideal body type (corresponding to a BMI less than 18.5)? Use α = 0.10.
Required:
a. Construct a 99% confidence interval for the mean BMI for young Caucasian women in British universities using R. Use at least 2 decimals in your answer.
b. Would a 99% CI (for the mean BMI) constructed using a smaller sample than the one used for part a) tend to be wider or narrower? Explain.
Answers
Answer:
(18.1361 ; 19.5639) ;
using a smaller sample will widen the margin
Step-by-step explanation:
Given :
Xbar = 18.85
Standard deviation, s = 1.75
Sample size, n = 40
Confidence interval is obtained using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * s/ √n
Zcritical at 99% = 2.58
Margin of error = 2.58 * (1.75/√40) = 0.7139
Lower boundary = 18.85 - 0.7139 = 18.1361
Upper boundary = 18.85 + 0.7139 = 19.5639
(18.1361 ; 19.5639)
B.)
The sample size, n being the denominator in the margin error formula increases the error value as it reduces or decreases in value Hence widens the interval. Conversely, increasing the sample size reduces the error margin value and ultimately narrows the interval.
Therefore, using a smaller sample will widen the margin
using a=12bh what is an equation to represent the area of a triangle?
Answers
Answer:
1/2 base × height
Step-by-step explanation:
a triangle has three sides and if we divide it into two, we have two right angle triangle in which we are using one part. that why it is 1/2 base x height
Answer:
You legit just told yourself
Step-by-step explanation:
[tex]\frac{1}{2}*b*h[/tex] IS the equation to represent the area of a triangle.
please help! Your swag ! :)
Answers
this my answer not sure you like it or not
Answer:
8: 0,-2 9: 7,-3 10: 7,1/2
Step-by-step explanation:
Hello, for question 8 (the top equation), you trying to find y and x so lets find y first. You need y to be by itself so you divide all the numbers by -3 like this:
6x/-3-3y/-3=6/-3
The equation simplifies to -2x+y=-2. You need y to be by itself so you move it to the other side and you get -2 for y. Now you need x. Go to the second equation and take the number that is y and plug it into the equation like this:
6x+8(-2)=-16
Multiply 8 with -2 which is -16. Then, you add -16 with -16 which makes 0.
6x=0
You then divide 6 on both sides and x is 0. You basically do the same process for questions 9 and 10 which are 7,-3 and 7,1/2. And your done!
The annual profits for a company are given in the following table where X represents the number of years since 2004 and Y represents the profit in thousands of dollars write the linear regression equation that represents the set of data rounding are Koi fishes to the nearest 10th using this equation find the projected profit in thousands of dollars for 2016 rounded to the nearest thousand dollars
Answers
Answer: number of years since 2012, and y represents the profit in thousands of ... Write the linear regression equation that represents this set of data, ... calendar year in which the profits would reach 234 thousand dollars.
Step-by-step explanation:
I need helppppppppppppppppp
Answers
Answer:
Are you giving any exam or what?
Answer:
C. 3x^2-2x=0
Step-by-step explanation:
3x^2+2x=x(3x+2)=0
x=0 or 3x+2=0⇒3x=-2⇒x=-2/3
12.
The Mills Library has 1,007,199 books. The Springvale Library
has 907,082 books. Which of the following is the best
estimate of how many more books the Mills Library has than
the Springvale Library?
A.
100,000 books
B.
80,000 books
C.
10,000 books
D.
8,000 books
E.
1,000 books
Answers
Pls help I'm sleep deprived rn and am almost done with this
Answers
Answer:
6π units
Step-by-step explanation:
Given::
Radius = 4
Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°
Arc length = θ/360 × 2πr
Plug in the values
= 270/360 × 2 × π × 4
= 0.75 × 8 × π
= 6π units
someone please help me answer this!
Answers
Answer:
72 mi is the answer.
Step-by-step explanation:
a = 30 mi
b = ?
c = 78 mi
According to the Pythagoras theorem,
a² + b² = c²
30² + b² = 78²
900 + b² = 6084
b² = 6084 - 900
b² = 5184
b = 72 mi
∴ the eastbound airplane has travelled 72 mi.
A bar of soap weighs 175 g. How much do 15 bars of soap weigh in ounces?
Answers
Answer:
92.59 ounces................
Answer:
92.5941501 ounces, 93 ounces if rounded to whole number, and 92.6 if rounded to the nearest tenth.
Step-by-step explanation:
Hope this helps! have a great day
What is the percent of change from 0.36 to 1.19?
Answers
Answer:
230.56%
Step-by-step explanation:
maybe
Can someone help me please? I forgot how to do this
Answers
Answer:
90°-33°=57°
57=2x+1
-1. -1
56=2x divide both sides by 2
28=x
x =28
Answer:
x = 28
Step-by-step explanation:
Both of these would add up to 90 degrees.
Equation → 2x + 1 + 33 = 90
Add like terms → 2x + 34 = 90
Subtract both sides by 34 → 2x + 34 - 34 = 90 - 34
Divide both sides by 2 → 2x = 56
→ x = 28
hope this helps! :)
is 3m, 4m, 5m a right triangle YES OR NO
Is 14m, 48m, 50m a right triangle YES OR NO
HURRY
Answers
Answer:
I thing they both are........
PLZ HELP!!
Given the expression: 3x10 − 48x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
3*10 = 30 - 48*2 = 96
30 - 90
= -60
Answer:
If you want free brainliest, click on my profile piture, go to my answers, and look for the one that says give my brainly you will get free brainly!!
Step-by-step explanation:
A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 29 houses that sold in their neighborhood took an average time of 230 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 35 days.
a. What assumption regarding the population is necessary for making an interval estimate of the population mean?
Assume that the population has a normal distribution.
Assume that the population has a uniform distribution.
b. Construct a 90% confidence interval of the mean sale time for all homes in the neighborhood.
Answers
Answer:
a. Assume that the population has a normal distribution.
b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.
Step-by-step explanation:
Question a:
We have to assume normality.
Question b:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{35}{\sqrt{29}} = 10.69[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.
The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.
The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.
30 POINT REWARD!!! (haha I need to write 20 characters so that why this is here ps. please help)
Answers
Answer
Sorry, I need points to ask more question.
Choose all of the statements that indicate long-term advantages in placing a larger down payment on a car loan received from a bank.
A). Using a larger down payment often results in lower interest rates on the loan for the vehicle.
B) The amount of money placed upfront on a car loan is usually rebated back to the borrower at the end of the loan.
C) Placing a larger down payment on the loan typically lessens the total amount required to be paid back on the loan.
Eliminate
D) Using a larger down payment creates a larger principal on the loan, meaning the interest paid on the loan will be smaller.
E) Putting down more money upfront on a loan allows more money to be invested elsewhere by the borrower during the length of the car loan.
Answers
Answer: A, C
Because I got it right on the USA Test Prep
Answer:
A and C
Step-by-step explanation:
I got it right on Usatestprep
rewrite 9x9x9x9x9 using an exponent
Answers
Answer:
9^5
Step-by-step explanation:
9 x 9 x 9 x 9 x 9 can be written as an exponent form 9⁵.
To rewrite 9 x 9 x 9 x 9 x 9 using an exponent, we can represent the repeated multiplication with the base 9 raised to the power of 5. Here's how:
9 x 9 x 9 x 9 x 9 = 9⁵
In this expression, the base is 9, and the exponent is 5. The base represents the number being multiplied repeatedly, and the exponent represents the number of times it is multiplied.
Using the exponent notation, we can simplify and express the result more concisely. The exponent 5 indicates that the base 9 is multiplied by itself five times.
Therefore, 9 x 9 x 9 x 9 x 9 can be written as 9⁵.
To learn more about the exponents;
brainly.com/question/30066987
#SPJ6
A basketball league assigns 8 players to each team. How many players can sign up for the league if there are 24 teams?
Answers
Answer:
192
Step-by-step explanation:
If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.
8 x 24 = 192 players can sign up for the league.
(hope this helps can i plz have brainlist :D hehe)
Answer:
192 players
Step-by-step explanation:
8x24=192
8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.
I need help with a Delta math Assignment
Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?
Answers
Answer:
9
Step-by-step explanation:
After multiplying both the numerators and the denominators, it's time to simplify or
reduce your product.
Example: 2/5x3/4 = 6/20.
The greatest common factor of 6 and 20 is 2. We divide the top and bottom by 2, which
simplifies to 3/10.
What is the reduced product of 2/3 x 5/8?
A
10/24
B
5/12
С
1/2
D
10/12
Answers
Answer: The answer is B, 5/12.
hope this helped :)
Answer:
B. 5/12
Step-by-step explanation:
2/3 x 5/8 = 10/24
The greatest common factor of 10 and 24 is 2.
Since the GCF is 2,
We divide the numerator and denominator by 2 and get 5/12.
Therefore, the simplified fraction of 10/24 is 5/12.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
In 2003, approximately 0.38% of the U.S. population had HIV/AIDS. Of these, it was estimated that 24.8% were not aware they have the disease. What is the probability that a randomly selected 82 Chapter 3 Conditional Probability and Independence person who does not know whether or not he or she has the disease will actually have it
Answers
Answer:
oklhhhf78 yr f brainpop
Which is the graph of f(x)=4(1/2)x
Answers
Answer:
here's the graph
Step-by-step explanation:
Last month the amount on Jaden's bank account statement went from $200 to $150.
What was the percent change?
Answers
Answer:
That is a 25% change.
Step-by-step explanation:
Select all the numbers that round to 0.1 when rounded to the nearest tenth ?