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
What would the answer be image below
Answer:
The points would be: (-3, 3) (-4, -1) (2, -1) (1, 3)
Step-by-step explanation:
Because when you move 4 units left, all of the x values in the points will go down by 4, and when you move 2 units down, the y values will go down by 2 units. So when applied to the points shown, you get the answer I put.
I believe this is correct? Hope it helps!
Walmart sells a 40-ounce jar of peanut butter for $5.58
What is the Unit Price?
Enter the number 10.333333333333 rounded to the nearest hundredth (two decimal places):
What is 9(-7)?
I don't even know this
-63. Hope this helps!
Can have brainliest?
Answer:
-63
Step-by-step explanation:
If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.
Ruby has $130 saved. She is saving $15 dollars more each week. In how many weeks will she have $400 saved to buy the new phone she wants?
You answer is In 18 weeks he'll have the $400 for the new phone.
I know this because she needs 400 but already has 130 so (400-130=270)
This means that Ruby is missing 270 to get to the 400 that he needs for the phone.He gets $15 per week so now that's (270/15=18).Which means that in 18 weeks Ruby will complete to full $400 that he needs for a new phone.
The required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Ruby has $130 saved. She is saving $15 dollars more each week.
According to given question we have
let x represent the number of weeks
she saves $15 each week,
then in x weeks she will save = 15x dollars.
Add this to the 130 she has already saved, and at the end of each week we get
15x + 130dollars.
So,
15x + 130 = 400
Subtract 130 from both sides we get
15x-130+130=400-130
15x=270
Divide by 15 on both sides we get
x=18
Therefore, the required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.
Learn more details about arithmetic here:
https://brainly.com/question/11559160
#SPJ2
solve 15 + ( - 15) =
Answer:
0
Step-by-step explanation:
see photos attached
blah blah
ANSWER QUICK PLEASE!!
Factor the expression 24 y - 40 using the greatest common factor of the terms.
A. 4(6y - 20)
B. 8(3y - 5)
C. 4(24y - 40)
D. 8(3y + 5)
Answer:
Step-by-step explanation:
B
The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.
The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.
N(70.5, 1.16)
The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
What is a normal distribution?A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.
Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,
[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]
Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
Learn more about Normal Distribution:
https://brainly.com/question/12421652
giving all my points
k can someone pls answer this cus I need the answer PER student
For a field trip, a bus company charges a flat fee plus an additional fee per student. For 25 students, the total cost is $132.50. If there are 30 students, the total cost is $145.00. After the flat fee, what is the cost per student?
$4.75
$5.30
$2.50
$3.00
5) Find the numbers:
a. 0.75 of what number is 9?
b. 0.8 of what number is 8?
Answer:
12
10
Step-by-step explanation:
6. a + 6 < -2; a = -8
I
0. yes
P. no
Answer:
yes
Step-by-step explanation:
Write the equation of the line that passes through the points (3,19) and (-2,-16)
Answer:
y = 7x - 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-16 - 19 / -2 - 3
-35/-5
= 7
y = 7x + b
19 = 7(3) + b
19 = 21 + b
-2= b
PLS ANSWER NOW GIVING BRAINLIEST TO FIRST PERSON TO ANSWER
Write 1,340 in scientific notation
Answer:
1.34 × 10^3 is the answer
Answer:
Ok
Step-by-step explanation:
Whoever answers I’ll mark brainliest!
Answer:
hi
Step-by-step explanation:
i think it is equilaterial triangle
hope it helps :)
I would appreciate some help on this question
Answer:
AB = 38
BC = 4
Step-by-step explanation:
It kinda depends if the image is to scale or not
help solve the problem .
Find the surface area and volume of the solid. Round your answers to the nearest hundredth.
Answer:
Surface area = 240.34 square units
Volume = 253.03 cubic units
Rectangular prism
Step-by-step explanation:
2(6.8 * 6.1) + 2(6.1 * 6.1) + 2(61 * 6.8) =
82.96 + 74.42 + 82.96 = 240.34
Volume
(6.8 )(6.1)(6.1) = 253.03
need explanation with these problems! help me please!
Answer: 4
Step-by-step explanation:
Find multiples of 12 and 16
4 is a common multiple
if you start from 1/4 and add 4 to the denominator and 1 to the numerator you get the following sequence:
1/4, 2/8, 3/12 and 4/16
Therefore the answer to the problem is 4
If you have any more simple algebra question pls message me :)
Players
Amount
Paid
The table above represents the number of people in a group who played laser tag and the group's total cost to play. Which of the
following represents the rate of change relative to this situation?
Answer:
C. 4.00 per person
Step-by-step explanation:
I say its 4.00 per person because in each row you mutiply the players and 4.00 you get the other side of the row. Ex 11 players multiplied by 4 dollars per person equals 44.00 dollars in total which the graph shows.
HELPPPPPPP PLSSS!!!!!!!!!!!!!!!!!!!
3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
The output of a function is 7 more than 2 times the input. Write and solve an equation to find the input when the output is 15
Equation:
Solution:
Answer:
f(x) = 2x + 7
f(15) = 2(15) + 7 = 30 + 7 = 37
When using substitution to solve this system of equations, what is the result of the first step x=y+1 4=2x+3y
Whats the answer to this question? ( Branliest )
Answer:
3+jk+k^6
j=2 & k=6
substituting the values, we have
= 3+2(6)+6^3
= 3+12+216
= 231
Ans=231
Step-by-step explanation:
j=2 and k=6
Now
(6)³+2(6)+3216+12+3216+15231(-5) + 6= ____
please help!
Answer:
1
Step-by-step explanation:
-5 +6=1 jsjenejsnsjwjjwwj
(-5) + 6 = "1'
Let me know if its wrong.
-5 (-4p-3)>-105
can i get some help on that?
Answer:
p>-6
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
20p+15>−105
Step 2: Subtract 15 from both sides.
20p+15−15>−105−15
20p>−120
Step 3: Divide both sides by 20.
20p/20 > -120/20
p>-6
Answer:
p > -6
Step-by-step explanation:
-5(-4p-3) > -105
First, multiply out the left side to get:
20p+15 > -105
Then take fifteen away from both sides to get:
20p > -120
Then divide both sides by twenty to get:
p > -6
Fill in the blank . If the graph of an exponential function is increasing from left to right it is called exponential
Answer:
growth
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
just try to make the lines even and get the answer 10
Answer:
the answer is √89........
...
Jose has scored 533 points on his math tests so far this semester. To get an A for the semester, he must score at least 616 points. Part 1 out of 2 Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests.
Answer:
The answer is 612-533=n
List all the positive even numbers less than 10:
