The equation of the tangent line to the curve is:
[tex]y - 4 = 0.0024(x - 2)[/tex]
Which has a slope of 0.0024.
The tangent line of a curve [tex]f(x)[/tex] at a point [tex](x_0,y_0)[/tex] is given by:
[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]
In this problem, the curve is:
[tex]f(x) = e^{-4x}\sin{6x}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -4e^{-4x}\sin{6x} + 6e^{-4x}\cos{6x}[/tex]
Point P(2,4), thus [tex]x_0 = 2, y_0 = 4[/tex].
The slope is:
[tex]f^{\prime}(2) = -4e^{-4(2)}\sin{6(2)} + 6e^{-4(2)}\cos{6(2)} = 0.0024[/tex]
Then, the equation of the line is:
[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]
[tex]y - 4 = 0.0024(x - 2)[/tex]
A similar problem is given at https://brainly.com/question/22426360
NO LINKS PLEASE HURRY I REALLY NED HELP!!!
Answer:
{5 + [-5(2 - 4) : 2]}.4 = 40/ 1 = 40
Step-by-step explanation:
Subtract: 2 - 4 = -2
Multiple: -5 * the result of step No. 1 = -5 * (-2) = 10
Divide: the result of step No. 2 : 2 = 10 : 2 = 5
Add: 5 + the result of step No. 3 = 5 + 5 = 10
Multiple: the result of step No. 4 * 4 = 10 * 4 = 40
i hope this helps :)
Question 2. In 2015, a Pew Research poll determined that 56% of teenagers go online several times a day.
You question a sample of 150 area high school students about their online habits. Describe the sampling distribution for the sample proportion, for samples of size 150, of high school students who go online several times a day. You should include a picture that approximates the sampling distribution, and label at least five tick marks in that drawing. Round to the nearest tenth of a percent.
b. You find that, in your sample, 94 of the high school students go online several times a day. Assuming the percentage obtain from Pew, is your result unusual, as defined in class? Justify your answer with a z-score.
Answer:
84 students go online several times a day
Step-by-step explanation:
Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22
Answer:
D) 22
Step-by-step explanation:
40-8-10=22
8=20%
10=¼
Answer:
He sold 22 books online.
Step-by-step explanation:
20% of 40 books is 8.
40-8=32
Again,
1/4 of 40 is 10
Now,
Remaining books =40-(8+10)
=40-18
=22
What is the equation of this line in slope-intercept form?
y=3x−1
y=−3x−1
y = 3x + 1
y=−13x−1
Number graph ranging from negative six to six on the x and y axes. A line is drawn on the graph that passes through the labeled points begin ordered pair negative 1 comma 2 end ordered pair and begin ordered pair 1 comma negative 4 end ordered pair
9514 1404 393
Answer:
y = −3x −1
Step-by-step explanation:
The slope of the line between the two given points (-1, 2) and (1, -4) can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -2)/(1 -(-1)) = -6/2 = -3
The slope is the coefficient of x in the slope-intercept equation for a line. Only one answer choice shows a slope of -3:
y = -3x -1
_____
Additional comment
If you plot the given points and draw a line through them, you see that the y-intercept is -1. Or, you can use this equation to find the y-intercept from one of the points.
b = y - mx
b = 2 -(-3)(-1) = 2 -3 = -1
Now you know m=-3 and b=-1, so you can fill in the slope-intercept form equation:
y = mx +b
y = -3x -1
Answer:
y = −3x −1
Step-by-step explanation:
Aubrey is studying for her math test. She knows she will need to round decimals to the tenths place on her test, but she forgets how to do it. Using the number 125.671 as an example, remind Aubrey the steps to rounding decimals to the nearest tenth.
Aubrey the steps to rounding decimals to the nearest tenth.
Answer:
125.7'
Step-by-step explanation:
Find the slope of the line that passes through the pair of points. (0,1) (2,5)
Answer:
the slope of line is 2
Step-by-step explanation:
here
x1=0 & y1=1
x2=2 & y2=5
we know that .
the slope of line = y2-y1 / x2-x1
=5-1/2-0
=4/2
=2
What is an inequality to compare the temperatures of Mercury and Mars.
Answer:
Mercury > Mars
Step-by-step explanation:
Mercury orbits closer to the sun than Mars, so it has a higher surface temperature.
Hi could someone please help me thank you
Answer:
f(x) = 25 * 1.25ˣ
Step-by-step explanation:
Use Desmos
Search it up
Please lmk if it is true or false
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, the above statement is True.
Answer:true
Step-by-step explanation:
9. For f(x) = -x + 8, which statement
is true?
A f(x + k) = f(x) + k
ction
B f(x - k) = f(x) - k
C f(x + k) = f(x) + f(k)
D f(x - k) = f(x) + k
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The Correct choice is D
For the function f(x) = -x+8, f(x-k) = f(x)+k. Option (D) is correct.
What is function?Function is a combination of different types of variable and constants.
A function is denoted by f(x).
The given function is,
f(x) = -x+8,
Substitute x= x+k in the given function,
f(x+k) = -(x+k)+8
f(x+k) = -x-k+8
f(x+k) = -x+8-k
Substitute -x+8= f(x) here,
f(x+k) = f(x)-k
Substitute x= x-k in the given function,
f(x-k) = -(x-k)+8
f(x-k) = -x+k+8
f(x-k) = -x+8+k
Substitute -x+8= f(x) here,
f(x-k) = f(x)+k
Hence, option (D) is correct.
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An entry level technical writer's annual pay is $53,768 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease?
Answer:
im not too sure
Step-by-step explanation:
Which expression is equivalent to (6 ^ (3/10))/(6 ^ (1/5))
Answer:
6^(1/10)
Step-by-step explanation:
[tex] = {6}^{ \frac{3}{10} - \frac{1}{5} } = {6}^{ \frac{1}{10} } [/tex]
2x+10y=20 and passes through (2,3)
Answer:
No, it doesn't pass throughStep-by-step explanation:
As, if we put the value (2,3) in the equation then,
2x + 10y = 20
=> 2(2) + 10(3) = 20
=> 4 + 30 = 20
=> 34 ≠ 20
Hence,
2x+10y=20 does not pass through (2,3)
Can someone help me out please
Answer:
The function is even.
Step-by-step explanation:
The graph resembles y = 1/x^2.
Which of the following statements describes the graph below?
PLS HELP.
Answer:
piecewise, continuous.
Step-by-step explanation:
This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous. I hope this helps!
It's offcourse piecewise
For continuity
Observe the graph
The domain is like
(-oo,1]U(1,2]U(2,oo)For close ineterval there is an open interval hence it's continuous
Tìm ma trận X thỏa:1264X315
pogpogii mooooooooooo
The length of each side of a square is
represented by 2x - 1. Represent the
perimeter of the square.
Answer:
Perimeter = 4(2x - 1)
Step-by-step explanation:
Since the Perimeter of a square is 4L, it would be,
(2x - 1) + (2x - 1) + (2x - 1) + (2x - 1) which could also be shortened to 4(2x - 1)
Answer:
P = 4(2x - 1)
Step-by-step explanation:
Given that the side of each square is 2x - 1:
The formula for finding the perimeter of a square is:
P = 4s
where s represents the side of a square.
Substitute the given value for s into the perimeter formula:
s = 2x - 1
P = 4(2x - 1)
Therefore, the perimeter of the square is 4(2x - 1).
the room has a rug right in the middle of a room. The rug is 3m by 4 m and it is 2 m away from all the surrounding walls. Calculate the area of the room.
Technically it should say the area of the floor of the room but whatever
Also all things done assuming "room" means "floor" and that the rug isn't suspended in midair in the middle of the 3-D room
Answer:
[tex]56~m^2[/tex]
Step-by-step explanation:
If the room is 2 meters away from the rug top and bottom, the room is an extra 4 meters bigger than the rug in width. Likewise for sideways.
WLOG let the rug have a length of 3 and a width of 4(doesn't matter which number goes where). Then, the room has dimensions of [tex](3+4)[/tex] by [tex](4+4)[/tex], which equals 7 by 8 meters.
Therefore, the area is [tex]7*8=\boxed{56~m^2}[/tex]
help me with this and i will give you brainlest
16⎯⎯⎯⎯√ – (14 + 2) : 2
Answer:
Our square root calculator estimates the square root of any positive number you want. Just enter the chosen number and read the results.
Step-by-step explanation:
Which equation in standard form has a graph that passes through the point (15,3) and has a slope of ¼?
Answer:
2y - 9x - 40 = 0
Step-by-step explanation: i already done the test
70 percent of 38.20 is what
Answer:
26.74
Step-by-step explanation:
38.20 x 0.70
= 26.74
Determine the value of the information in scientific notation.
The moon is approximately 3.63 × 108 meters from Earth.
What is 3.63 × 108 in standard notation?
Answer:
3.63× 108, this is not a scientific notation.
It should be like this:
3.63×10^8
=3.63×1.00000000/ 3.63×1.E8
=3.63
Answer:363,000,000
Step-by-step explanation:
Plz can anyone slove 3 & 4 questions plzz
Answer:
For question 3 its definitely 5^15 and I searched 4 so I thinks its 71 or 161? sorry I don't know angles but 3 is correct
Answer:
[tex] {5}^{4 + 8 + 3} = {5}^{15} \\ \\ 90 - 19 = 71[/tex]
 50, 25, 12.5….
What is the geometric sequence and what is the 8th and 10th term
When given the building layout of store a 2500ft2, store b 625ft2, store c 625ft2, store d 2500ft2, what portion of the $7500 maintenance fee should be apportioned to store c?
9514 1404 393
Answer:
$750
Step-by-step explanation:
The total store area in the building is ...
2500 +625 +625 +2500 = 6250 . . . . square feet.
Then the fraction that can be allocated to store C is ...
(625 ft²)/(6250 ft²) = 0.1
The maintenance fee allocated to store C should be ...
0.1 × $7500 = $750
Internet rates for two companies are shown in the table. After how many months of
service is the total cost the same no matter which company is used? What is this total
cost?
Intemet Service Provide
Charges
Tyson's Ethernet $100 activation fee plus $20 per month
Darriana's DSL
$30 per month
A 10 months, $300
B 20 months, $600
C 30 months, $700
D 2 months, $60
100+(20×10)=300
30×10 =300
months = 10
The total cost becomes the same after 20 months of service, and the total cost is $600.
To find out when the total cost becomes the same for both companies, we need to compare their cumulative costs over time.
Tyson's Ethernet has an activation fee of $100 plus $20 per month, while Darriana's DSL costs $30 per month.
Let's set up equations for both companies:
For Tyson's Ethernet:
Total cost = Activation fee + Monthly charges
Total cost = $100 + ($20/month) * months
For Darriana's DSL:
Total cost = Monthly charges
Total cost = ($30/month) * months
We want to find when these two total costs are equal:
$100 + ($20/month) * months = ($30/month) * months
Now we can solve for the number of months:
$100 + ($20/month) * months = ($30/month) * months
$100 = ($30/month - $20/month) * months
$100 = $10/month * months
months = $100 / $10
months = 10
So, it takes 10 months for the costs to be equal. Now let's find the total cost at that point:
Total cost = ($30/month) * months
Total cost = ($30/month) * 20 months
Total cost = $600
Therefore, after 20 months of service, the total cost is the same for both companies, and the total cost is $600.
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i will give brainliest please help
Answer:
1. 18
2. 15
3. Symmetric Property
Step-by-step explanation:
1. 8 + 10 = 18
2. Following symmetric prop. of eq. would mean that since 8 + 10 = 15 + 3 and 8 + 10 = 18, 15 + 3 = 18 as well
3. Symmetric Property of Equality states that if a = b, then b = a
Which of the following is the graph of f(x) = -0.5|x + 31 -2?
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Please!!!!
Answer: The graph is attached.
I suggest you use Desmos Graphing Calculator it helps me out so much!
[tex]x > 5[/tex]
inequality in one variable