9514 1404 393
Answer:
-4, -1, 495Step-by-step explanation:
Use n = {1, 2, 3, 10}.
n^2 -5 = {1, 2, 3, 10}^2 -5 = {1, 4, 9, 100} -5 = {-4, -1, 4, 95}
The first three terms are -4, -1, 4.
The 10th term is 95.
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
Can someone help me with this? I am a little confused
find the length of the unknown side
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
PLEASE ANSWER WITHIN THE NEXT 5 MINUTES!!!!!!! Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take Steven to be at the same place at the same time with kara.
Step-by-step explanation:
105/30=3.5 hours for steven
105/15=7 hours for Kara.
they would be b at the same place in 7 hours when Kara catches up at 105km lol
Answer:
7 hrs
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer the question
Answer:
D
Step-by-step explanation:
demos
Nevaeh’s bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. Nevaeh randomly selects a marble from the bag, records the color, and then puts the marble back in the bag. If she does this 150 times, how many times would she expect to select blue?
A 10 times
B 30 times
C 45 times
D 75 times
Answer:
30
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
mark me brainlest
Help will give brainly of aw ser is right
Answer:
40 is your answer:)
Step-by-step explanation:
4x3= 12
12/2=6
6x4=24
4x4=16
24+16= 40
Triangle DEF has coordinates D (5,2), E (5,-2), and F(-4, 0). Which of the
following statements is true about triangle DEF?*
The triangle has no lines of symmetry.
Both
Answer:
Well, I don't have further explanation to this question but I know the answer which is: The x-axis is the only line of symmetry
Which of the following represents the equation of a line that is parallel to 2y - x = 16 and passes through the
point (-6,1)
Answer: it could be d
By I’m smart
Step-by-step explanation:
What is the asymptote of this function?
A. X= 3
B. Y= 3
C. X= 4
D. Y= 4
[tex] \huge \sf \pink{Answer}[/tex]
D. Y=4
[tex] \huge \sf \pink{Reason}[/tex]
Because it is situated on the upper axis,which we called Y-axis.If we count the sequence then the line was on number. 4.
Hence,the answer is number 4.[tex] \huge \sf \pink{Verification}[/tex]
For verification we mark a point on that line and count the sequence.We will find that it is on 4.
Hence,Verified✔️Note:For verification u can see attachment6) A spinner is
divided into 5 sections
lettered A to E. Lena
spins the pointer on
the spinner 25 times.
She records her
results in the table.
Based on these results,
lands on the letter B?
B is 5
Answer:
1/5
Step-by-step explanation:
there are 5 sections regardless of how many time she rolls it ti does not change the probability of landing on b so it's 1/5
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
B
Step-by-step explanation:
There is a 1/4 probability of getting an A out of a bag with letter MATH
For B) There are two A's our of 8 letters is ADMIRALS.
2/8 is the same as 1/4
The answer is B
A) is wrong because that 1/6
C) is wrong because that's 1/8
D) is wrong because that's 2/9
Answer:
B
Step-by-step explanation:
Probability of finding A in a word = number of A / number of letters in that word
Probability of finding A in MATH = 1/4
A. Probability of finding A in BECAME = 1/6
B. Probability of finding A in ADMIRALS = 2/8 = 1/4
C. Probability of finding A in USERNAME = 1/8
D. Probability of finding A in AFTERMATH = 2/9
So we have a match with option B
» How many thirds are in a whole slice of toast?
Answer:
There's going to be 3 thirds in one whole sandwich. Hope this helps
Step-by-step explanation:
Can somebody help please
Does anyone know the answer?
Step-by-step explanation:
Yes sure.
a. New value of painting=60/100×$550=$330
b. New value of vase=70/100×$395=$276.5
c. New value of clock=180/100×$1175=$2115
d. New value of chair=95/100×$745=$707.75
Find the slope of the line.
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!
Answer:
Range= (0,∞) and (-∞,0)
Step-by-step explanation:
Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0
Answer:
(-infinity, -32/81] U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Step-by-step explanation:
The range is all possible y values in a function.
We can find the inverse of the function to find the range.
[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]
Replace x with y
[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]
Write the LCD as two binomial,
[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]
Multiply both sides by both binomial
[tex]x(y + 1)(y - 8) = 8[/tex]
[tex](xy + x)(y - 8) = 8[/tex]
[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]
[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]
[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]
[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]
[tex](x - 3.5) {}^{2} = 12.25[/tex]
[tex](x - 3.5) = 3.5[/tex]
[tex]x = 3.5[/tex]
Plug that in to the function to find it range.
We get approximately
[tex] - \frac{35}{81} [/tex]
So this means a point on our function must include -35/81.
The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is
(-infinity, -32/81]U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!
Answer:
C) 50
Step-by-step explanation:
50
Answer:
C: 50
Step-by-step explanation:
The inner diamond has congruent sides
Half of the line segment on the left is 25.
The other half of the left line segment is also 25
Together, the left line segment is 50 units
The inner diamond has both 90 degree angles and 18 unit long sides
Thus, we know that both sides are congruent
Finally, the right side is the same length as the left side
The right side is 50 units long
I need help solving this equation 7/(x+1)-3/2=8/3x+3
Answer:
5/16,-3
Step-by-step explanation:
I didn't actually solve this by myself, I used this website to solve this.
Find the value of x
Answer: x is 13
Step-by-step explanation:
90 - 67 is 23. Then you figure out what times 2 minus 3 is 23. Which would be 13. 13 times 2 is 26 minus 3 is 23. 67 + 23 is 90 ( right triangle)
Answer:
x=13
Step-by-step explanation:
The two angles are complementary, meaning that they both add up to 90°.
So, since we know that one of the angles is 67°, we can find the other one by subtracting 67 from 90.
90-67=23
So the equation is equal to 23.
2x-3=23
Add 3 to both sides.
2x=26
Divide both sides by 2.
x = 13
Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive
Step-by-step explanation:
VAT = 250*15%
VAT = 250*15/100
VAT = 37.5 therefore
total price add VAT =250+37.5
=287.5
The central limit theorem
A. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the standard normal distribution.
Answer:
Option D (States.......distribution) is the appropriate choice.
Step-by-step explanation:
The superposition principle says that perhaps the sample distribution better reflects the regular distribution.
Because this sample size or group grows, all observations appear identical although irrespective of that same population demographics or distributions.It shows everybody precisely how the measures are to be distributed if we take a friendly reminder from some kind of population group.The latter choices should not affect the situation involved. The reaction, then, is the right one.
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5
33) 90÷18-18÷6-6÷3=
Preciso de ajudaaaa
Answer:
67
Step-by-step explanation:
(90÷18)-(18÷6)-(6÷3)= 72-3-2= 67
Will give brainlst
Have a nice day
help me please :(*****
Answer:
54
dcutvihvihvtuutcigciyvihvihvo
Answer:
Step-by-step explanation:
A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086
Pls help me with this
Write an addition problem involving i that results in the simplified expression 5-2i
Answer:
-5+2i
Step-by-step explanation:
If x=7-4 √3 then find the value of (x+1/x)^2
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2