Answers
9514 1404 393
Answer:
dy/dx = (2 -x)/40.005Step-by-step explanation:
(a) Solving the x-equation for u gives ...
u = (x -1)/4
Differentiating both equations with respect to u, we have ...
dy/du = 1 -4u
dx/du = 4
Then dy/dx is ...
dy/dx = (dy/du)/(dx/du) = (1 -4u)/4
Substituting for u gives ...
dy/dx = (1 -4(x -1)/4)/4
dy/dx = (2 -x)/4
__
(b) The approximate change in y is ...
∆y ≈ (dy/dx)(∆x)
For ∆x = 2.98 -3.00 = -0.02, and x=3, the approximate change is ...
∆y ≈ (2 -3)/4(-0.02)
∆y ≈ 0.005
Related Questions
solve the following problem below
Answers
Jessica makes her favorite shade of purple paint by mixing blue paint and red paint in a ratio of 3 : 2
Answers
Answer:
In fraction form, it would be 3/2
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Answers
Answer:
it's W=2
Step-by-step explanation:
beacuse you devide both sides!! I hope this helps!!! if not let me know!!!
Water flows into a tank at the rate of 3 litres per minute.
a. If the tank fills completely in 450 seconds what is the capacity of the tank in ml?
A hole is drilled in the bottom of the tank. Water flows out of the hole at a rate of 60 ml per second.
b. How long will the tank take to drain completely if the flow of water IN continues at the same rate?
Answers
Answer:
a) 22,500 b) 2250 seconds (or 37.5 minutes)
Step-by-step explanation:
a) There are 1000 ml in a liter.
Therefore, the rate of water flowing in can be 3000 ml per minute. To convert this into per second, we divide 3000 by 60.
This becomes 50 ml per second. If the tank fills in completely in 450 seconds, we multiply 50 by 450 to get how much water in ml was used to fill the tank completely. 50 times 450 = 22,500. Therefore, the capacity of the tank is 22,500.
b) Since water keeps flowing into the tank at a rate of 50 ml per second, and water flows out at a rate of 60 ml per second, we can define the rate flowing out of the tank as 10 ml per second.
Because the maximum capacity of the tank is 22,500 ml, we divide this by 10 ml (the rate flowing out) to get how many seconds it will take for the tank to drain out completely. 22,500 divided by 10 is 2250.
So, it will take 2250 seconds for the tank to drain completely. In minutes, this becomes 37.5 minutes.
Rewrite in simplest terms: (9x+10y)-(-x+9y)(9x+10y)−(−x+9y)
Answers
Answer:
9x + 10y - (-x + 9y) (9x + 10y) + x -9y
Step-by-step explanation:
rewrite the equation in Ax + By = C form. use integers for A, B, and C. y - 6 = -3 (x + 5)
Answers
Answer:
ok
Step-by-step explanation:
[tex] \sf \: {}[/tex]
Answer:
3x + y = - 9
Step-by-step explanation:
y - 6 = -3 (x + 5)
Distribute the -3
y - 6 = -3x - 15
Add 3x to both sides
3x + y - 6 = -15
Add 6 to both sides
3x + y = - 9
-------------------
A = 3
B = 1
C = -9
pls help me adawdasdaw
Answers
7x-6x=-4-12+2
13x=-14
x=-14 divide 13
x=-14 over 13 put 14 over 13 in a fraction
En la tabla aparecen los datos correspondientes a la cantidad
de cuadernos vendidos por Carlos durante 30 días:
Determina la media aritmética, mediana y moda
Answers
Utilizando conceptos estadísticos, se encuentra que
La media es de 17.5 cuadernos vendidos.La mediana es de 17.5 cuadernos vendidos. La moda es de 17.5 cuadernos vendidos.La media viene dada por la suma del punto medio de cada intervalo multiplicada por su frecuencia relativa.
O sea, [tex]\frac{5 + 10}{2} = 7.5[/tex] multiplicado por [tex]\frac{3}{30}[/tex] hasta [tex]32.5[/tex] multiplicado por [tex]\frac{1}{30}[/tex]. Entonces:
[tex]M = 7.5\frac{3}{30} + 12.5\frac{7}{30} + 17.5\frac{10}{30} + 22.5\frac{8}{30} + 27.5\frac{1}{30} + 32.5\frac{1}{30}[/tex]
[tex]M = \frac{7.5(3) + 12.5(7) + 17.5(10) + 22.5(8) + 27.5 + 32.5}{30} = 17.5[/tex]
La media es de 17.5 cuadernos vendidos.
La mediana es el ponto medio de el intervalo en que la suma de las cuantidades [tex]f_c[/tex] ultrapassa lá mitad, o sea, 15.
[tex]3 + 7 = 10[/tex]
[tex]10 + 10 = 20[/tex]
Esto se dá en el intervalo de 15 à 20, que tiene ponto medio 17.5, o sea, 17.5 es la mediana.
La moda es el ponto medio de el intervalo con frequencia relativa mas grande.
En este problema, este intervalo es de 15 a 20, que tiene ponto medio 17.5, o sea, 17.5 también es la moda.
Un problema similar es dado en https://brainly.com/question/13202035
Find the distance between the points A and B given below. NO BOTS OR ELSE REPORTED
Answers
Answer:
5 units
Step-by-step explanation:
Answer:
I think the answer is 7 units
Step-by-step explanation:
you would expect it to be 5 units, but because of the diagonal angle it adds a percentage off each unit
Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions to their correct answers.
Answers
Answer:
#1- 6 4/9 - 3 2/9 - 8 2/9 = - (6 + 3 + 8 + 4/9 + 2/9 + 2/9) = - (17 + 8/9) = - 17 8/9#2-12.48 - (-2.99) - 5.62 = - (12.48 + 5.62) + 2.99 = - 18.1 + 2.99 = - 15.11#3- 19 2/9 - 4 1/9 - (- 3 4/9) = -23 3/9 + 3 4/9 = - 19 8/9#4-353.92 - (-283.56) - 131.29 = - (353.92 + 131.29 - 283.56) = - 201.65$583 1/5 - 108 2/5 - (- 99 1/5) = 83 1/5 + 99 1/5 - 108 2/5 = 74Tim ran 3/5 of a trail on Tuesday and then ran a different 2/3 of the trail on Wednesday. How much of the trail had he covered on the two days?
Answers
At Home Depot you can get 30 ornaments for $15 at target you can get 20 ornaments for nine dollars which is a better deal
Answers
Answer:
Target
Step-by-step explanation:
Home depot
15 dollars/ 30 ornaments = .50 per ornament
Target
9 dollars/ 20 ornaments =.45 per ornament
Target costs less
Answer:
Target is cheaper .45 each
Home Depot is .50 each
Step-by-step explanation:
Which measurement is equivalent to 3 tablespoon or ½ fluid ounces?
Answers
Answer:
its teaspoons
Step-by-step explanation:
Keith buys 3 yards of materials to make a blanket. He trims off a total of 1/6 yards before sewing. How much material remains for the blanket?
Answers
The number of yards of material remains sewing blanket is 2.5 yards.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, Keith buys 3 yards of materials to make a blanket.
He trims off a total of 1/6 yards before sewing.
So, 1/6 ×3
= 3/6
= 0.5 yards
Remaining material =3-0.5
= 2.5 yards
Therefore, 2.5 yards of material remain for sewing blanket.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
If x > 0 and y < 0, where is the point (x, y) located?
Answers
Answer:
In the forth quadrant, below and to the right of the origin.
x > 0 means it is to the right of the y axis
y < 0 means it is below the x axis.
Step-by-step explanation:
on the y axis
Step-by-step explanation:
thats nice what i think atleast sighhh e
Find the slope of the line.
Answers
Answer:
3/4
Step-by-step explanation:
rise/run = 3/4
Pt=3x+8and TQ =5x-6 PT=?
Answers
Because yeah I just don’t know that question to the answer so hopefully somebody finds it and you have a good day
For three consecutive even integers, -4 times the sum of the first and third integers is 192. What is the middle integer?
Answers
Answer: Middle integer = -24
Step-by-step explanation: First understand the formula for finding three consecutive even numbers.
Formula used: -4(n+n+4)=192
Let's solve your equation step-by-step.
−4(n+n+4)=192
Step 1: Simplify both sides of the equation.
−4(n+n+4)=192
(−4)(n)+(−4)(n)+(−4)(4)=192(Distribute)
−4n+−4n+−16=192
(−4n+−4n)+(−16)=192(Combine Like Terms)
−8n+−16=192
−8n−16=192
Step 2: Add 16 to both sides.
−8n−16+16=192+16
−8n=208
Step 3: Divide both sides by -8.
−8n
−8
=
208
−8
n=−26
Now find the middle integer.
Formula used: n+n+2+n+4
-26+(-26)+2+(-26)+4
-26+(-24)+(-22)
Middle integer=-24
Answer:
-24
Step-by-step explanation:
Solve for n.
A.
n = 27
B.
n = 9
C.
n = 3
D.
n = 216
Answers
Answer:
6
Step-by-step explanation:
n over 81 = 2 over 27 = 27n over 27 = 2×81 over 27 =6
Solve.
Four times a number is equal to the number increased by 21. Find the number.
The number is
Answers
Let x equal the number
Tip: Go step-by-step
4 times a number is translated to... 4x
Is equal to means =
to the number increased by 21 is... x+21
Your equation is: 4x=x+21
Subtract x from both sides
3x=21
Divide three from both sides
x=7
Check!
4(7) = 7+21
28=28!
Correct!
Have a nice day!!
What is the answer to the question?
Answers
Answer:
the answer is option 4th
please help !!!!!!!!!!!!!!1If x = –2, which number line shows the value of |x|? (1 point)
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 2 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to a point at 2 tick marks to the right of zero. A horizontal line is shown between the brackets, and 2 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to a point at 2 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 2 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 2 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 2 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 2 is written on the line.
Answers
Answer:
a number line is shown from negative 6 to positive 6 with increment of 1.
Good afternoon nah I get some help in this question today
Answers
Answer:
c
Step-by-step explanation:
c
HELP ME PLEASE
By which rule are these triangles congruent?
A)
MAS
B)
ASA
SAS
D)
SSS
Answers
Answer:
I brlive the answer is B.........
Answer:
The answer is C) ASA
Step-by-step explanation:
This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.
2. If y varies inversely as the square root of x, find the percentage change in y when x is
increased by 21%.
Answers
The percentage increase in the value of y due to the increase in x by 21% is 10%
Inverse relationship :
y α 1/√ny = k/√x - - - - - - (1)
Increase in x by 21% = 0.21
y = k/√1+0.21x
y = k/√1.21x
y = k/ 1.1√x - - - (2)
Comparing the (1) and (2)
y has changed from 1 to 1.1
Increase in y = (1.1 - 1) = 0.1
Expressing the increase as a percentage :
0.1 × 100% = 10%
Hence, the percentage increase in y is 10%
Learn more : https://brainly.com/question/18405415
Please Help
Rotate MAP 90° degrees clockwise about point P. List the new ordered pairs.
Pre Image MAP:
M: (-3, 4)
A: (-7, 7)
P: (-7, -1)
Answers
Answer:
M' (-2 , -5), A'(1 , -1), P'(-7 , -1)
Step-by-step explanation:
Rotation clockwise 90° = rotation CCW 270°
Formula for rotation CCW 270° around a point (x',y') for original (x,y)
x'' = (x-x') cos 270° - (y-y') sin 270° + x'
y'' = (x-x') sin 270° + (y-y') cos 270° + y'
cos 270° = 0 and sin 270° = -1
x'' = - (y-y') sin 270° + x' = (y-y') + x'
y'' = (x-x') sin 270° + y' = (x'-x) + y'
M': x = (4 - -1) + (-7) = -2
y = (-7 - -3) + (-1) = -5
A': x = (7 - -1) + (-7) = 1
y = (-7 - -7) + (-1) = -1
check
P': x = (-1 - -1) + (-7) = -7
y = (-7 - -7) + (-1) = -1
-------------------------------------------------
Another way of thinking is to suppose P is (0,0) and locate other points' coordinate relative to P. Such as M(4,5), A(0,8)..
when it rotate CW 90° (x,y) -> (y , -x) will becomes (5 , -4) and (8 , 0). while (5 , -4) relative to p(-7 , -1) is (-7+5 , -1-4) i.e. ( -2 , -5) at original plane and (1 , -1) for point A'
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Is the relationship a linear function?(0,-1), (1,5),(2,11),(3,17)
Answers
Answer: Yes
Step-by-step explanation: x goes up by 1 each time and y goes up by 5 each time, making the function linear.
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answers
Answer:
Zero solutions
Step-by-step explanation:
When you simplify the equation you get that 4x+2=4x+3. That is not equal so therefore it has zero solutions
Answer:
The only solution could be is if u had x as a variable, if not then you don't have a solution because you won't know what x is.
Step-by-step explanation:
HELPPPPPPP PLZ ANSWERRRR QUICKKKKKK! WILL GIVE BRAINILEST :D
Answers
Answer:
A is the correct answer
Step-by-step explanation:
hope this helps
Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay.
Answers
Answer: This person worked 40 hours at a $7.50 rate.
Step-by-step explanation: Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay. This person worked 40 hours at a $7.50 rate.