25.00%
Or
25c
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What is the equation of this line?
Please Help
y=1/2x -2
y=-2x -2
y=2x -2
y=-1/2x -2
Answer:
the first option
Step-by-step explanation:
the slope is the rise over run (up over across) and the line meets the y axis at -2 so that is your intercept
Timed!! Answer hurry!
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
Learn more:
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The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence
Answer:
Step-by-step explanation:
Answer: 1. heading and subheading
2. subheading
3. point-by-point
Step-by-step explanation:
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
Which of these isn't a proportional relationship? 15:30 & 1:2 3:9 & 9:27 05.10 & 10:20 2:4 & 4:2
Answer:
4:2
Step-by-step explanation:
URGENT!! Please help
Answer:
The measure of the largest angle is 72º.
Step-by-step explanation:
We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.
this is due in a few hours can yall help me
Answer:
18%, 34%, 9/25, 0.25
Step-by-step explanation:
36% = 18%
17/50 = 34%
0.18 = 9/25
1/4 = 0.25
Simplify 16 – 1.42 + (–1.5)
Answer:
13.8 is the answer ...............
It’s not b!!!! Help me please
Answer:
D maybe? im not sure
Step-by-step explanation:
-3/4x+9 xccccccccccccccccccccccccccccccccccccccccc
what is the slope of (1,-3) and (-5,-4)
Answer:
slope is 1/6
Step-by-step explanation:
help me with this its super hard
Answer:
240
Step-by-step explanation:
Because you have to do length times with times height
12 times 10 times 2= 240
Solve the following system of equations.
5x+4y = 10
5x + 8y = 30
Answer:
(-2, 5), x = -2, y = 5
Step-by-step explanation:
When x = -2 and y = 5 on both equations, the equations become true.
What is 5/8 ÷ 3/4 I need to know this please hurry
Answer:
5/6
Step-by-step explanation:
i used a caculater
BRAINLIEST PLEASE
I have 8 Twix bar that I want to share with 6 students how much of the Twix bar will each student get
Answer:
1.3
Step-by-step explanation:
8 divided by 6 = 1.3
BRAINLIEST PLEASE
Answer:
1.3
Step-by-step explanation:
Hope this helped have an amazing day!
what is -3 exponent 2 in expanded form?
Answer:
-3 times -3 that is -4 exponent two in expanded form
Step-by-step explanation:
-3²
= -3 • -3
eg. Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
what is 1/4(8+x+4) simplified using the distributive property
Answer:
x4+3
Step-by-step explanation:
i think this is the answer i aint sure tho
a bakery sold 208 chocolate cupcakes in a day,which was 25%of the total number of cupcakes sold that day. How many cupcakes did the bakery sell that day
Answer:
832
Step-by-step explanation:
multiply the 25% by 4
Answer:
Coryxkenshin
Step-by-step explanation:
I am so stressed can someone please help me
It’s 53 points
Answer:
(3,1)
Step-by-step explanation:
Solve 4h = 92 for h.
h = ___
Answer:
H= 23
Step-by-step explanation:
92 divided by 4 will give you 23
Answer:
h = 23
Step-by-step explanation:
Divide each term by 4 and simplify.
Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.
What was the value of b?
A. –6
B. –2
C. 2
D. 10
Answer: C. 2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Begin by removing the brackets
4x + 5(-4x - b) = -16x - 5b
-(x - 2) = -x + 2
Add the two binomials together to get the third one
4x -20x - 5b - x + 2 = -17x - 8 Combine the like terms on both sides
-17x - 5b +2 = -17x - 8 Add 17x to both sides
-5b + 2 = - 8 Subtract 2 from both sides
-5b +2 -2 =- 8 -2 Combine
-5b = - 10 Divide by -5
b = -10/-5
b = 2
How much is 3/5 of 31/8 ?
Answer:
2.325
Step-by-step explanation:
i used a calculator ,i think i did it right lol
How many different triangles ABC can be formed if C=60∘, c=17√3 and a=34?
Answer:
Jordan, Its been 5 hours, whats the answer?
Step-by-step explanation:
There can be only 1 triangle formed by the given information.
What is triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
Given that, ABC can be formed if C=60∘, c=17√3 and a=34
Using the sine law for triangle,
A/sina = B/sinb = C/sinc
34/sina = 17√3/sin60°
⇒ sina = 90°
Since, The triangle ABC is a right triangle,
Hence, There can be only 1 triangle formed by the given information.
For more references on triangle, click;
https://brainly.com/question/2773823
#SPJ2
An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?
Answer:
240
Step-by-step explanation:
Answer:
240 calories
Step-by-step explanation:
3,840 divided by 16 is 240 :)
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
Answers are in standard notation
Answer: Aproxamatly 18.999999999999999
Step-by-step explanation:
You hear that tuition is going to increase by 3% next year. If tuition
this
year is $7,200 this year, what will the tuition be next year?
Answer: $7416
Step-by-step explanation:
You look up 3% of $7200 ($216) and add that to the original price to get $7416 :)
It is approximately 32 miles from Dallas to Fort Worth.
Which number sentence could be used to find f, the number
of feet from Dallas to Ft. Worth.
(A) 1760 x 1/32 = f; because the scale factor is 5280
(B) 32 x 1760 = f; because the scale factor is 5280.
(C)5280 x 1/32 = f; because the scale factor is 5280.
(D)32 x 5280 = f; because the scale factor is 5280.
Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How many
miles did Robin run?
Slope, m = 3, y-intercept, b = 5
Answer:
I can't help if I don't have enough to answer sorry
Step-by-step explanation:
