Answer:
89
eighty-nine
Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)
By "limit definition", I assume you mean the derivative. We have
[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]
For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]
The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation
y - 1 = - (x - 2)
y = - x + 3
In order to receive credit for an English assignment, Alex must reflect on AT LEAST 5 out of 7 passages. In how many ways can this be done?
Answer:
expressionism I just took that test trust you got a workout and English and I'm miss that I hope we close at Johnny's and I'm miss that I hope we close again for the one that was a big deal for me to hit the road and I'm miss that I hope we close again for the one time of day or so he can come over for a lol you want to text cause I'm miss that I hope we close again for the one that was a if he can come over for a lol you want to text Leo and I'm miss that I hope we close again for the one that 5th to text cause I'm miss that I hope.
ACB = DCE
A=63
C=52
E=5x
what is X = ?
Answer: x=13
Step-by-step explanation:
The police department of UCR is looking to collect more fines for speeders on campus. (They are turning to speeding because they cannot extract any more money out of people for parking illegally!) They record the speeds on West Campus Drive for a year and find that the average speed is 31.0 miles per hour with a standard deviation of 2.0. The data is approximated by a normal distribution. The top five percent (5%) of speeders will get tickets. What speed must you be going before getting a ticket
Answer:
≥ 34.29 mph
Step-by-step explanation:
Given that:
Distribution is normal :
Mean(m) = 31 mph
Standard deviation = 2 mph
Speed of top 5%
Top 5% = bottom (100% - 5%) = 95% = 0.95
Zscore which corresponds to 0.95 = 1.645
Using the Z formula:
Zscore = (score - mean) / standard deviation
1.645 = ( score - 31) / 2
Croas multiply:
2 * 1.645 = score - 31
3.29 = score - 31
3.29 + 31 = score
34.29 = score
Hence, speed must be greater than or equal to 34.29 mph
What is the value of m ?
Answer:
20
Step-by-step explanation:
its 20 but i.need to explain so 180-110-40=20
A rectangle has a height of 5 and a width of 4x^2-2x-6.Express the area of the entire rectangle. Expression should be expanded.
Answer:
The area of the entire rectangle is [tex]20x^2-10x-30[/tex]
Step-by-step explanation:
Area of a Rectangle
The area of a rectangle of height H and width W is:
A=H.W
The rectangle has a height of H=5 and a width of [tex]W=4x^2-2x-6[/tex]. Calculate the area:
[tex]A=5*(4x^2-2x-6)[/tex]
Expand the product:
[tex]A=20x^2-10x-30[/tex]
The area of the entire rectangle is [tex]20x^2-10x-30[/tex]
The cost of 5 gallons of ice cream has a variance of 49 with a mean of 30 dollars during the summer. What is the probability that the sample mean would differ from the true mean by less than 0.6 dollars if a sample of 145 5-gallon pails is randomly selected?
Answer:
0.303 or 30.3%
Step-by-step explanation:
We are given;
Variance; Var = 49
Sample size; n = 145
Standard error from mean; SEM = 0.6
Now, standard deviation is given by the formula;
SD = √Var
SD = √49
SD = 7
Now, the standard error from standard deviation is;
SE = SD/√n
SE = 7/√145
SE = 0.5813
z = Number of standard errors away from the mean = SEM/SE = 0.6/0.5813 = 1.0322
Using online P-value from z-score calculator with the z-score above and an assumed significance level of 0.05, we have;
P-value ≈ 0.303
Probability = 0.303 or 30.3%
A survey of 800 school employees yielded the following information: 430 were instructors, 589 were full-time faculty, and 340 of the instructors were full-time faculty. How many school employees were full-time faculty but were not instructors
Answer:
249Step-by-step explanation:
let n(U) be the total number of school employees = 800
Let n(I) be amount of instructors = 430
Let (F) be full-time faculty = 589
Let n(InF) be the instructors who were full-time faculty = 340
The number of employees who were full-time faculty but were not instructors is expressed as:
n(FnI') = n(F) - n(InF)
n(FnI') = 589 - 340
n(FnI') = 249
Hence the number of school employees who were full-time faculty but were not instructors are 249
Adrianna can read 7 pages in 10 minutes. At this rate,
how many pages can she read in 25 minutes?
Answer:
17.5 page in 25 minutes
Step-by-step explanation:
We can use ratios to solve
7 pages x pages
------------- = ----------------
10 minutes 25 minutes
7 * 25 = 10 x
175 = 10x
Divide by 10
175/10 = 10x/10
17.5 =x
17.5 page in 25 minutes
Answer:
17.5 pages
Step-by-step explanation:
What I did was I multiplied 7 by two then separately I divided seven by 2 and it gave me 3.5 so I added 14 and 3.5
Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?
Answer:
20 miles.
Step-by-step explanation:
To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.
Let [tex]m[/tex] equal the number of miles.
If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:
[tex]100+3m[/tex]
If Hertz Rental charges $8 per mile, we can represent this as:
[tex]8m[/tex]
Set the expressions equal to each other:
[tex]8m=100+3m[/tex]
Subtract [tex]3m[/tex] from both sides of the equation:
[tex]5m=100[/tex]
Divide both sides of the equation by the coefficient of [tex]m[/tex], which is [tex]5[/tex]:
[tex]m=20[/tex]
Therefore, after 20 miles, the total cost for both companies will be the same.
_
Check your work by substituting the solved value of [tex]m[/tex] (20), into the initial equation:
[tex]8(20)=100+3(20)[/tex]
[tex]160=100+60[/tex]
[tex]160=160[/tex]
As the total costs are equal to each other, our answer is correct!
Answer:
20 miles
Step-by-step explanation:
160=$3(20)=100
8x20=160
Find the value of x.
Answer:
Its 9
Step-b(y-step explanation:
Can you make me brainlist??
Answer:
The answer is B just took the test!
A trigonometric function with no asymptotes oscillates between the values of y equals negative 4 and y = 0. Two consecutive zeroes are located at approximate x-values of 3.48 and 7.66. Which of the following best represents the equation of the trigonometric function?
Answer:
C. f(x)=2sin(-1.5x+0.5)-2
let one Yellow tile Equal+1 and one red tile equal -1 6-(-9)
Answer:
wym
Step-by-step explanation:
whats the question
PLEASE HURRY!!!! WILL MARK BRAINLIST!!!!!!d. Using the equation for average rate above, determine the cheetah's average rate for the entire
trip.
Answer:
Average Rate = 55mph
Step-by-step explanation:
Now it’s time to tackle the original question. Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.
Can we say that this cheetah’s average rate was 55 mph?
a.The average rate for the trip is equal to the total distance traveled divided by the total time traveled.
Average Rate = 70+ 40/2= 110/2 = 55mph
Yes the average rate of the cheetah is 55 mph
The following equations represent the distance traveled on each leg of the trip.
First leg of trip: td=r1 t1= 70*t
Second leg of trip: td=r2 t2= 40*t
Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.
Total distance = r1 t1+ r2 t2
Average rate = Total distance / total time
= r1 t1+ r2 t2/ t1+ t2
=70t+ 40t/ 2t
=110t/2t
= 55mph
Answer:
the answer is 55 mph
Step-by-step explanation:
Average rate = Total distance / total time
= r1 t1+ r2 t2/ t1+ t2
=70t+ 40t/ 2t
=110t/2t
The sum of four consecutive integers is 2486. Find the biggest of these four consecutive integers.
Answer:
623
Step-by-step explanation:
2486/4 is the middle number = 621.5
Four numbers so the nearest whole numbers are the middle two
620, 621, 622, 623
=623
ASTRONOMY-
what would happen if the moon didn't revolve around the earth although its rotation on its axis remained the same.
WIll mark brainliest pls help
Answer:
I believe this would have a affect on the ocean as the moon controls the waves and i believe it would also affect the wind as well
Step-by-step explanation:
For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is r = 0.52. If you had measured tail length in centimeters instead of millimeters, what would be the correlation?
Answer:
The correlation coefficient is r = 0.52
Step-by-step explanation:
From the question we are told that
The correlation coefficient is r = 0.52
Generally correlation has no unit and is not affected by unit (i.e it show the ratio between two quantities )
Hence a change of the unit of measurement of length from cm to mm will not affect the correlation coefficient r hence the value will still remain r = 0.52
Answer:
Step-by-step explanation:
HELP IM GIVING BRAINLIEST
WORTH 15 POINTS
Explain why 3(x + 4) - 3(x - 5) has no solution. Choose the best response below
Place a check mark in each row to indicate
the number of solutions for each equation
below.
No
Infinitely
One
Solution Solution
Many
Solutions
5x5x+3
A. The x-terms are the same, but the constant terms are different.
B. The x-terms are different, but the constant terms are the same.
C. The x-terms are the same, and the constant terms are same.
D. The x-terms are different, and the constant terms are different.
5x+6 - 6x +5
5x+ 6 = 5x + 6
What values of a and b would make the equation shown have infinitely many
solutions?
2x+ 4 = 4x+2
2x+4 - 2x + 4
3x = ax + b
2x2x+4
Answer:
Question 2: A
Question 3: 3x=3x+0
Step-by-step explanation:
For the chart use (symbolab) it is a site that can help you with finding out the solutions by typing in the equation and it will give you an answer if it is no solution, one solution or, infinite
Select the correct answer to 35 2/7 x 5:
1. 174
2. 176 3/7
3. 175 5/7
4. 174 5/7
Answer:
2
Step-by-step explanation:
I can't exactly explain my thinking but I estimates and the closet i got was answer 2 hoped this helped
During the first hour of a snowstorm, 1 2/8 inches of snow fell. In the next hour, 4 3/8 inches fell. In the third hour, the snow stopped and 1 inch of snow melted. How much snow was on the ground at the end of the third hour?
Answer:
4 5/8 inches left
Step-by-step explanation:
1+4=5
2/8+3/8=5/8 Same denominator so it stays the same, only need to add the numerators.
5+5/8=5 5/8
5 5/8-1=4 5/8
Here is the improper fraction if you need it:
37/8
Order from least to greatest.
0.67, 0.5, 3/5
Answer:
0.5, 0.6(3/5), 0.67
Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5
Answer:
last
Step-by-step explanation:
20% of the days were sunny. How many days were sunny?
Answer:
73
Step-by-step explanation:
simple math, ez mne.
Answer:
73 days were sunny
Step-by-step explanation:
20% of 365 is 73.
Because everyone is always driving above the speed limit, the police implement a new policy: ticket anyone who drives 1.5 standard deviations above the average. At a major freeway, the average speed in the evening is 75 MPH. The standard deviation is 7 MPH. Michael finds himself driving at 84 MPH during an evening on this freeway. At a major street, the average speed is 43 MPH. The standard deviation is 4 MPH. Nico finds himself driving at 50 MPH. Use the information above to determine who will get a speeding ticket?
Answer:
Michael is within the speed limit regulation he won´t get any ticket
Nico is over speed limit then he should be ticket
Step-by-step explanation:
Case A conditions in a freeway evening average speed 75 MPH the
standard deviation is 7 MPH
Then according to new policy 75 + 7* ( 1,5 ) = 75 + 10,5 = 85,5 MPH
Michael is driving at 84 MPH then he has no problem at all
Case B conditions in a major street average speed 43 MPH the standard deviation is 4 MPH
According to the new policy 43 + 4 *(1,5) = 43 + 6 = 49 MPH
Nico is driving at 50 MPH then Nico will be ticket
The solution to the system -2x+5y=-15 and 5x+2y=-6 is what
Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
Which ordered pair, if included in this relation, would cause it to no
longer be a function?
Answer:
(-6,3)
Step-by-step explanation:
Travel time data is collected on an arterial. With 30 runs, an average travel time of 152 seconds is computed over the 2.0 miles length, with a computed standard deviation of 17.3 seconds.
Required:
a. Compute 95% confidence bounds on your estimate of the mean.
b. Was it necessary to make any assumption about the shape of the travel-time distribution?
Answer:
a
The 95% confidence bounds is [tex] 145.80 < \mu < 158.19 [/tex]
b
It was not necessary to make any assumption about the shape of the travel time distribution
Step-by-step explanation:
From the question we are told that
The sample size is n = 30
The sample mean is [tex]\=x = 152[/tex]
The standard deviation is [tex]\sigma = 17.3 \ second[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{17.3 }{\sqrt{30} }[/tex]
=> [tex]E = 6.19 [/tex]
Generally 95% confidence bounds is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]152 -6.19 < \mu < 152 -6.19[/tex]
=> [tex] 145.80 < \mu < 158.19 [/tex]
This 95% confidence bounds show that there is 95% confidence that the true mean lies within this bound hence there is it was not necessary to make any assumption about the shape of the travel time distribution
A plating company has two silver plating systems with variances σ12 and σ22. You, as the manager, desired to compare the variability in the silver plating done by System-1 with that done by System-2. An independent random sample of size n1= 12 of the System-1 yields s1 = 0.038 mil and sample of size n2= 10 of System-2 yields s2 = 0.042 mil. We need to decide whether σ12= σ22 with α = 0.05. What is the rejection region?
Answer:
The rejection region is
[tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
or [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
and
From the value obtained we see that
[tex] F_{cal} < F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex] Hence
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 12[/tex]
The first sample standard deviation is [tex]s_1 = 0.038 \ mil[/tex]
The second sample size is [tex]n_2 = 10[/tex]
The first sample standard deviation is [tex]s_2 = 0.042 \ mil[/tex]
The significance level is [tex]\alpha =0.05[/tex]
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2_2[/tex]
The alternative hypothesis is [tex]H_o : \sigma^2_1 \ne \sigma^2_2[/tex]
Generally the test statistics is mathematically represented as
[tex]F_{cal} = \frac{s_1^2 }{s_2^2}[/tex]
=> [tex]F_{cal} = \frac{ 0.038^2 }{0.042^2}[/tex]
=> [tex]F_{cal} = 0.81859[/tex]
Generally the first degree of freedom is [tex]df_1 = n_1 -1 = 12-1 = 11[/tex]
Generally the second degree of freedom is [tex]df_2 = n_2 -1 = 10 -1 = 9[/tex]
From the F-table the critical value of [tex] \frac{\alpha}{2}[/tex] at the degrees of freedom of [tex]df_1 = 11[/tex] and [tex]df_2 =9 [/tex] is
[tex]F_{\frac{\alpha }{n} , df_1 , df_2 } = 3.91207[/tex]
The rejection region is
[tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
or [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
and
From the value obtained we see that
[tex] F_{cal} < F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex] Hence
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance
1+2 charliedamelioo0
Answer:
eEEE
Step-by-step explanation:
