The dy/dx at point (2,8) is 4/3
How to find dy/dx at a point?From the information illustrated, x + 3y^(1/3) = y and point (2,8)
Find the derivative of this equation with respect to x and solve for dy/dx:
x + 3y^(1/3) = y
1 + [3 × 1/3 × y^(-2/3)]dy/dx = dy/dx
1 + [y^(-2/3)]dy/dx = dy/dx
dy/dx - [y^(-2/3)]dy/dx = 1
dy/dx [1- y^(-2/3)] = 1
dy/dx = 1/ [1 - y^(-2/3)]
At point (2,8), x = 2 and y = 8.
Substitute into dy/dx:
dy/dx = 1/ [1 - y^(-2/3)]
dy/dx = 1/ [1 - 8^(-2/3)]
dy/dx = 1/ [1 - 1/4)]
dy/dx = 4/3
Learn more about dy/dx at a point on:
https://brainly.com/question/2948458
#SPJ1
Question 2 of 3 Which expressions can be added to find the volume of the solid figure? Select all that apply. A solid shape is made up of 2 attached rectangular prisms. First rectangular prism has a length of 3 m, height of 1 m, and width of 4 m. Second rectangular has a length of 3 m, height of 7 m, and width of 4 m. The total length of the shape is 6 meters. A. 4 × 3 × 7 and 1 × 3 × 4 B. 4 × 6 × 7 and 1 × 3 × 3 C. 1 × 4 × 7 and 4 × 3 × 6 D. 4 × 6 × 1 and 6 × 4 × 3 E. 4 × 6 × 3 and 7 × 3 × 3
Answer:
a and d
Step-by-step explanation:
i had this same question and a and d were the correct answers
Need to show work.
y + 12 = 41
Answer:
y=29
Step-by-step explanation:
y+12 - 12 = 41 -12
y=29
Answer:
y = 29
Step-by-step explanation:
subtract 12 on both sides to isolate & solve for y:
y + 12 = 41
- 12 -12
=> y = 41 - 12
=> y = 29
Hey can you help me with my math assignment
Answer:
Value of x = 87°
Step-by-step explanation:
Given:
∠1 = 102°
∠2 = x + 15°
Find:
Value of x
Computation:
We know that, given two lines are parallel and third line interest that
So,
Corresponding angles are equal
So,
∠1 = ∠2
x + 15 = 102
x = 87
Value of x = 87°
Please solve this problem.
Btw I don’t need an explanation I just need an answer
Answer:
F
Step-by-step explanation:
Answer
H 75 + Q > or = 120
Can someone help me please!
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
Distributing the minus sign in the given expression results in ...
6x +1 -3x -(-1)
6x +1 -3 +1 . . . . simplify
The two expressions that show the constant terms as +1 - 1 are erroneous. The two constant terms are +1 -(-1) or +1 +1.
The correct expressions are the 2nd, 3rd, and 5th ones (b, c, e).
Find the measurement of the angle labeled X
PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!
Answer:
b.
42+x+90+8=180° linear pair
x=180-140=40°
x=40°
c.
10+x+90+3x=180 linear pair
4x=180-100
x=80/4=20
x=20°
On a flight,
3/10
of the passengers were children. There were
60 children on the flight. How many passengers were on
the plane?
Answer:
There were 200 passengers on the plane.
Step-by-step explanation:
1. 3/10 of the passengers were children -> 30% of the passengers were children
2. 60 children on the flight 30% of passengers = 60 people
divide by 3 -> 10% of passengers = 20 people
multiply by 10 -> 100% of passengers = 200 people.
Find the value of x
Answer:
6
Step-by-step explanation:
Since all the angles are the same value, we can equal them to each other: x+2 = 8, which will give us x = 6.
Answer:
d
Step-by-step explanation:
What is the sum of 50.249 + 21.3
Answer:
71.549
Step-by-step explanation:
Answer:
The sum of 50.249 + 21.3 is 71.549.
Step-by-step explanation:
50.249 + 21.3 can be written as (50 + 20) + (0 + 1) + (0.2 + 0.3) + 0.049, which makes calculating the sum easier. 50 + 20 = 70, 0 + 1 = 1, 0.2 + 0.3 = 0.5, and you still have a 0.049. Add the numbers all together and you'll get that the sum of 50.249 and 21.3 is 70 + 1 + 0.5 + 0.049 or 71.549.
PLEASE HELP
Lou deposited $1500 in a savings account. The
interest rate was 6.75% annually. How much
interest will he earn in 5 years?
And please add how you did it
Answer:
$506.25
Explanation:
assuming it is simple interest,
$1500 × 6.75% = $101.25 (interest earned each year)
$101.25 × 5 = $506.25 (interest earned in 5 years)
i hope this helps, feel free to comment if you need to clarify anything!
Identify the constants in the expression: 7-5x+1?For 6th grade.
Answer:
The constants are 7 and 1
Step-by-step explanation:
<2 and <4 are corresponding angles
m<4 = 17x° and m<2 = (9x+40)º
Find x and the measure of each angle.
Answer:
X = 5 u
m∠4 = 85º
m∠ = 85º
Step-by-step explanation:
17x = 9x + 40
17x-9x = 40
8x = 40
x = 40/8
x = 5
m∠4 = (17x)º = (17*5)º = 85º
m∠ = (9x+40)º = (9*5 + 40)º = (45 + 40)º = 85º
Five-digit locker combinations are assigned using the digits 1–9. In how many ways can the combinations be formed if no digit can be repeated
Answer:
15, 120
Step-by-step explanation:
9P4
.............................................................................................
Simplify the expression. 9√3(8√3+9√5)
Answer:
B
Step-by-step explanation:
first of all we have to multiply 9√3 for each members in the brackets. For do this we have to multiply number x number and roots x roots
(9x8) = 72
(√3)^2 = 3
72 x 3 = 216
9 x 9 = 81
√3 x √5 = √15
81√15
now we have to added up the two results
216 + 81√15
If you can buy 48 plaintains for $24 then how many can you buy with $4 ?
Answer:
8 plantains
Step-by-step explanation:
48=$24
x=. $4
192=24x , x= 192÷24= 8
Answer:
8 plantains
Step-by-step explanation:
Cost and number of plantains are in proportion
Number of plantains that can be bought for $ 4 be 'x'
48 : 24 :: x : 4
Product of means = product of extremes
24 * x = 48*4
[tex]x = \frac{48*4}{24}[/tex]
x = 2 * 4
x = 8
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.Please use the Pythagorean Theorem formula which is a^2 + b^2 =c^2.
Answer:
The answer would be C
Step-by-step explanation:
To find the answer square the 12 yds and subtract that from 30 yds squared. That will leave you with 27.49, and you would just round that decimal up to 27.5 for youir answer.
Find the measures of the numbered angles in each kite.
Answer:
x = 19°
y = 31°
Step-by-step explanation:
5x = 7x - 38
2x = 38
x = 19
y = 180 - 54 - 5(19)
y = 31
Find the value of x in the triangle shown below 6 2
How many solutions does this system of equations have? Explain how you know.
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?
Answer:
2/8
Step-by-step explanation:
freshman=4/8
1/8 soph 1/8 jr
add all together u get 6/8
the rest is seniors so its 2/8
Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest
Answer:
See below
Step-by-step explanation:
Graphing:we are given two functions
[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]
where f(x) is a linear function and g(x) is a quadratic function
we want to figure out the solutions of the function
let's graph f(x):
the Black-table is attached
let's graph g(x):
the picture is attached
hence, the graph should be
the graph is attached
solutions stating:so we need solution(s) which satisfy(ies) the both functions
in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)
hence,
x={-1,3}
PLEASE HELP!!!
Multiple Choice: which of the following expressions is not an equivalent
expression to the others?
A. 8(x-2) + 40
B. 8x - 3
C. 8(x + 3)
D. 40 + 8x – 16
125% of ___ is 25
what is the blank
Answer:
20
Step-by-step explanation:
I think it’s 20... my math brain is not cooperating with me much right now
Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
Answer:
2100
Step-by-step explanation:
25 minutes you need to know that 60 sec =1 hour.35x60=2100
Scenario: Relay Track Teams
Instructions:
View the video found on page 1 of this journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
Three teams are racing in the district meet. Below are the box plots representing the race times for each team. Analyze the data and decide who you think will win.
The Racers' Conjectures
1. Complete the table below to describe why each team member thinks his team will win the district meet. (1 point)
Team
Reason
Red
Yellow
Blue
2. Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning. (3 points: 1 point for each row of the chart)
Team
Yes or no
Reason
Red
Yellow
Blue
Analyzing the Data
3. Use the box plots to complete the five-number summary chart. (3 points: 1 point for each row of the chart)
Minimum
Lower quartile
Median
Upper quartile
Maximum
Red
Yellow
Blue
4. Look at the box plots and decide whether each team's distribution is symmetric or skewed. Circle your answers. (1 point)
Red
Negatively skewed
Symmetric
Positively skewed
Yellow
Negatively skewed
Symmetric
Positively skewed
Blue
Negatively skewed
Symmetric
Positively skewed
Below are the actual race times, in seconds, for each team. They are listed in numerical order, not in the chronological order of actual races.
Race 1
Race 2
Race 3
Race 4
Race 5
Race 6
Race 7
Race 8
Race 9
Red
47.5
42
48.5
44.5
47
41
48
43
49
Yellow
47.5
45.5
48.5
46.5
47
45
48
46
49
Blue
48.1
46.8
52
47.9
48
46
50
47
53
5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1 point for each team)
Red
Yellow
Blue
6. How do the three teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking. (1 point)
7. How do the three teams rank based on median times? Explain your ranking. (1 point)
8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1 point)
9. The interquartile range for the red team's race times is 5 seconds. Find the IQR for the yellow and blue teams. (2 point)
10. What do the interquartile ranges (IQRs) tell you about how the teams race? Explain your thinking. (1 points)
Making a Decision
11. Now that you've analyzed the data, it's time to make a decision. Who do you think will win the district meet? Describe how you think each team will do, and explain your reasoning. (3 points)
Red:
Yellow:
Blue:
Answer:
Here guys!! The answer is attached as a PDF.
Step-by-step explanation:
Answer:
You can not give that angel a brainiest because there are 2 answers
Step-by-step explanation:
This man is an absolute lifesaver to me and many other people from the looks of it Hurry up and give him the brainiest.
Thank you sooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo much sir you have saved me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I had to do this so that he may receive the brainiest and because the comments were closed.
PLEASE HELP ASAP ✌️
Answer:
what is the question give it to us then we will answer
find the least number of sweets that can be packed into polythene bags which contain either 9or 15 or 20 or 24 sweets with none left over
Answer:
i think 15
Step-by-step explanation:
15
can someone help me please.
don't send any link
or ill report you!!!
Answer: 25 square units
You can divide the shape off into manageable chunks then multiply to find the answer!
What is the volume of the prism, in cubic centimeters?
Answer:
Uhhhhhh, nothing?
Step-by-step explanation:
An airplane takes off at a speed S of 226 mph at an angle of 18° with the horizontal. Resolve the vector S into components.
Velocity=226mph
Angle made with horizontal= 18°
The vector components would be [tex] 226~sin18° \hat{j} + 226~cos18° \hat{i} [/tex]
The vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°
What is a Vector ?
An parameter that has both magnitude and direction is called a vector.
It is given that
Speed S = 226 mph
Angle = 18 degree with the horizontal
The vector component are
[tex]\rm v_x , v_y[/tex]
here these are x and y components of the vector
V is the magnitude = |v| = 226
The vector component is given by
cos [tex]\rm \theta[/tex] = [tex]\rm v_x[/tex] / |v|
[tex]\rm v_x[/tex] = 226 cos 18°
[tex]\rm v_y[/tex] = 226 sin 18°
Therefore the vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°
To know more about Vector Components
https://brainly.com/question/4179238
#SPJ2