Answer:
C
Step-by-step explanation:
24 + 2 = 26 ---> x = 26, y = 11
Answer:
the answer is c.) x = 26, y = 11
helpppp
i need help quickly
Answer: 140?
I am not really sure but I think 140......
5. Identify the slope and the y-intercept in the follow
equation: *
(5 puntos)
y = 5x + 3
Escriba su respuesta
Answer:
Slope (m) = 5
Y-intercept (b) = 3
Step-by-step explanation:
The equation of a line is y = mx + b, where (m) is the slope and(b) is the y-int.
Knowing this, we see that the slope is 5 and the y-int is 3.
hope this helps!
A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t=k, the height of the dough is 13 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute.
(a) At time t=k, at what rate is the area of the circular surface of the dough increasing with respect to time? Show the computations that lead to your answer. Indicate units of measure.
(b) At time t=k, at what rate is the height of the dough decreasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (The volume V of a cylinder with radius r and height h is given by V=πr2h.)
(c) Write an expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of height h and radius r.
Answer:
a) [tex]\frac{dA}{dt} = 48 \pi\frac{in^{2}}{min}[/tex]
b) [tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]
c) [tex]\frac{dh}{dt} = - 2\frac{h}{r} \frac {dr}{dt}[/tex]
Step-by-step explanation:
In order to solve this problem, we must first picture a cylinder of height h and radius r (see attached picture).
a) So, in order to find the rate at which the area of the circular surface of the dough is increasing with respect to time, we need to start by using the are formula for a circle:
[tex]A=\pi r^{2}[/tex]
So, to find the rate of change of the area, we can now take the derivative of this formula with respect to the radius r:
[tex]dA = \pi(2) r dr[/tex]
and divide both sides into dt so we get:
[tex]\frac{dA}{dr} = 2\pi r \frac{dr}{dt}[/tex]
and now we can substitute:
[tex]\frac{dA}{dr} = 2\pi(12in)(2\frac{in}{min})[/tex]
[tex]\frac{dA}{dt} = 48\pi\frac{in^{2}}{min}[/tex]
b) In order to solve part b, we can start with the formula for the volume:
[tex]V=\pi r^{2} h[/tex]
and solve the equation for h, so we get:
[tex]h=\frac{V}{\pi r^{2}}[/tex]
So now we can rewrite the equation so we get:
[tex]h=\frac{V}{\pi}r^{-2}[/tex]
and now we can take its derivative so we get:
[tex]dh=\frac{V}{\pi} (-2) r^{-3} dr[/tex]
we can rewrite the derivative so we get:
[tex]\frac{dh}{dt}=-2\frac{V}{\pi r^{3}}\frac{dr}{dt}[/tex]
we can take the original volume formula and substitute it into our current derivative, so we get:
[tex]\frac{dh}{dt}= -2\frac{\pi r^{2} h}{\pi r^{3}} \frac{dr}{dt}[/tex]
and simplify:
[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]
so now we can go ahead and substitute the values provided by the problem:
[tex]\frac{dh}{dt} =-2\frac{13in}{12in} (2\frac{in}{min})[/tex]
Which simplifies to:
[tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]
c)
Part c was explained as part of part b where we got the expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of the height h and the radius r:
[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]
The rate of change of the height of the pizza with respect to (w.r.t.) time
can be found given that the volume of the pizza is constant.
(a) The rate of increase of the surface area with time is 4·π in.²/min(b) The rate at which the height of the dough is decreasing is [tex]\underline{4.\overline 3 \ in./min}[/tex](c) Rate of change the height of the dough with respect to the radius [tex]\dfrac{dh}{dr}[/tex], is [tex]\underline{-2 \cdot \dfrac{h}{r}}[/tex]Reasons:
The height of the dough when t = k is 13 inches
Radius of the dough = 12 inches
Rate at which the radius of the dough is increasing, [tex]\dfrac{dr}{dt}[/tex] = 2 in.²/min
(a) Required: The rate of increase of the surface area with time
Solution:
The circular surface area, A = π·r²
By chain rule of differentiation, we have;
[tex]\dfrac{dA}{dt} = \mathbf{\dfrac{dA}{dr} \times \dfrac{dr}{dt}}[/tex]
[tex]\dfrac{dA}{dt} = \dfrac{d ( \pi \cdot r^2)}{dr} \times \dfrac{dr}{dt} = 2 \cdot \pi \times 2 = 4 \cdot \pi[/tex]
The rate of increase of the surface area with time, [tex]\mathbf{\dfrac{dA}{dt}}[/tex] = 4·π in.²/min.
(b) Required: The rate of decrease of the height with respect to time
The volume of the pizza is constant, given by; V = π·r² ·h
Therefore;
[tex]h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}[/tex]
[tex]\dfrac{dh}{dt} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} \times \dfrac{dr}{dt} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} \times \dfrac{dr}{dt} = \mathbf{-2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt}}[/tex]
[tex]\dfrac{dh}{dt} = -2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt} = -2 \times \dfrac{13}{12} \times 2 = \dfrac{13}{3} = 4. \overline 3[/tex]
The rate at which the height of the dough is decreasing, [tex]\mathbf{\dfrac{dh}{dt}}[/tex]= [tex]\underline{4.\overline 3 \ in./min}[/tex]
(c) Required:]The expression for the rate of change the height of the dough with respect to the radius of the cone.
Solution:
[tex]\dfrac{dh}{dr} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} = -2 \cdot \dfrac{h}{r}[/tex]
[tex]\dfrac{dh}{dr} = \mathbf{ -2 \cdot \dfrac{h}{r}}[/tex]
The rate of change the height of the dough w.r.t. the radius is [tex]\underline{\dfrac{dh}{dr} = -2 \cdot \dfrac{h}{r}}[/tex]
Learn more here:
https://brainly.com/question/20489729
c + 1/4c
please help me i need this done now
Answer:
[tex]1\frac{1}{4} c[/tex]
Step-by-step explanation:
[tex]c+\frac{1}{4}c[/tex]
Rewrite the expression
[tex]= 1c+\frac{1}{4} c[/tex]
Add
[tex]= 1\frac{1}{4} c[/tex]
Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].
I hope this helps!
using the elimination method to solve the system of equations.
3x+6y =36
3x-6y=0
a. 3,6
b. 6,-3
c. 6,3
d. 3,-6
Answer:
c. (6, 3)
Step-by-step explanation:
subtract
3x + 6y = 36
3x - 6y = 0
12y = 36, y = 3
3x + 6(3) = 36
3x + 18 = 36
3x = 18, x = 6
x = 6, y = 3
Answer:
the answer is b good luck
Rewrite the following in the form log(c).
log(8) – log(2)
Answer:
log(c). log(8) - log(2)
Step-by-step explanation:
Sora correctly solved this inequality.
-2. 1w> 12.81
w<-6.1
Which graph matches the inequality?
Answer: The third one
Step-by-step explanation: open circle, with crocodile sign pointing to right which means u have to go left! Have a nice day!!
Answer:
C) a number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded.
Step-by-step explanation:
Open circle means < or >
Closed circle means < or >
So has to be an open circle since the sign is <. it also says w < -6.1
so w has to be less than -6.1. So less than -6.1 would be -6.2, -6.3, -6.4etc.
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
Beverly made a root beer float using 1/4 cup of vanilla ice cream for every 3/4 cup of root beer. how much ice cream would Beverly need for one cup of root beer?
Answer:
1/3 cup of ice icream
Step-by-step explanation:
This is a proportions question. Since we know that we need 1/4 cup of ice cream for every 3/4 cup of root beer, we need to find how many cups of ice cream we need for 1 cup of root bear.
We need to find out what times 3/4 makes 1. This can be done with:
(3/4)x = 1
x = 4/3
Now multiply that with 1/4 to get the amount of ice cream.
4/3 times 1/4 = 1/3
Question 2
Remember that new marketing gig that Connie landed with Cosmic Coffee? Let's think about the promotion she was
excited to roll out:
Get your made-to-order coffee drink within 3 minutes or it's free!
Recall that it's known from a previous study that the average time it takes for a customer to receive their drink is
2 minutes, 39 seconds, with a standard deviation of 20 seconds.
Part A
Calculate the z-score associated with the value of 3 minutes. Convert 3 minutes and the mean to seconds before doing
the calculation.
9514 1404 393
Answer:
1.05
Step-by-step explanation:
Following instructions, we have ...
Z = (X -μ)/σ
Z = (180 -159)/20 = 21/20
Z = 1.05
The Z-score associated with the value 3 minutes is 1.05.
_____
Additional comment
About 14.7% of customers will be getting free coffee.
Answer:
Sample anwer from Edm and Plato
Step-by-step explanation:
What is the length of BC, given that figure ABCD is a rectangle?
PLZ Help
Haley brought 4 boxes of candy canes at the santa store if each box of candy canes cost $2.65 and she paid with a twenty dollar bill how much change should get back
Answer: $9.04
Step-by-step explanation:
one box is $2.65 and $2.65x4=$10.09 and if there is a $20.00 then $20.00-$10.09=$9.04. :P
What is an area model of 15 times 11
Answer:
165
Step-by-step explanation:
you need to x it
!!! Answer fasttttt plzzz!!!!!!! Will give 20 points and Brainlyest!!!! Which division problem does the number line below best illustrate?
Answer:
10/2
Step-by-step explanation:
first 10/2=5
you divide 10 into 2 until you get 5 of such groups
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set, and P = {1, 3, 5, 7}. What is upper P superscript single-quote baseline? (1 point) A. {2, 4, 6, 8} B. {1, 2, 3, 4, 5, 6, 7, 8} C. {1, 3, 5, 7} D. {1, 3, 5, 7, 8}
Answer:
A. {2, 4, 6, 8}
Step-by-step explanation:
"U" is the set of whole numbers form 1 to 8
"P" is the set of odds within that, so that leaves P' as the evens.
The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water bottles when the temperature is 60 degrees, what is the temperature if they use 120 bottles?
Answer: If a team uses 75 water bottles when the temperature is 60 degrees, ( 75 - 15 = 60 )
I guess if they have 120 bottles, you'd have to take away 15 again, which = 105
-----------------------------------------------------------------------------------------------------------------
Sorry if i'm wrong
You go to Mellow Mushroom and your bill is $50.
You decide to leave a 20% tip.
What is your final cost?
Classify the triangle with side lengths of 16, 13, and 12 as acute, right, or obtuse
Answer:
16+13+12=41
Step-by-step explanation:
it is acute
Which point is a solution to this system of inequalities?
y ≤1/2x-3
y+2x greater than 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D)(4,1)
The point is a solution to this system of inequalities y ≤1/2x-3 and y+2x greater than 6 are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of imbalances y ≤ 1/2x - 3 and y + 2x > 6, we want to test each answer decision to check whether it fulfills the two disparities.
A) (7,- 8):
y ≤ 1/2(7) - 3 = 0.5
y + 2(7) > 6
This point doesn't fulfill the primary imbalance, so it's anything but an answer.
B) (2,- 3):
y ≤ 1/2(2) - 3 = - 2
y + 2(2) > 6
This point fulfills the two imbalances, so it is an answer.
C) (5,- 2):
y ≤ 1/2(5) - 3 = - 0.5
y + 2(5) > 6
This point doesn't fulfill the main imbalance, so it's anything but an answer.
D) (4,1):
y ≤ 1/2(4) - 3 = - 1
y + 2(4) > 6
This point fulfills the two imbalances, so it is an answer.
Accordingly, the answers for the arrangement of imbalances are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of disparities y ≤ 1/2x - 3 and y + 2x > 6, we really want to test each answer decision to check whether it fulfills the two imbalances. Just response decisions B) (2,- 3) and D) (4,1) fulfill the two imbalances, making them the arrangements.
To learn more about inequalities, refer:
https://brainly.com/question/28895822
#SPJ1
Please answer this as soon as possible!! ASAP Simplify to a single power of 2: 2^7/2^5
Answer:
i got 4
Step-by-step explanation:
Answer:
2²
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\\\\frac{2^{7}}{2^{5}}=2^{7-5}=2^{2}[/tex]
The rainfall for the month of July was above average. The water level in a small lake measured 834 feet at the beginning of the month. Due to all the rainfall, the water level rose 35 of a foot per week for the first three weeks, then the lake dropped 12 foot in the last week of the month.
What was the water level of the lake at the end of July?
A
979ft.
B
101120ft.
C
10120ft.
D
71120ft.
Answer:
927 ft so A
Step-by-step explanation:
Answer:
Step-by-step explanation:
9 7/9
PLS AWNSER BEST AWNSER GET BRAINLIST.
I need a good grade on this final for my pc lol
Answer:
no idea
Step-by-step explanation:
Jk the answers square
Which points are on the graph of the equation −3 + 6 + 5 = −7 ? Select all that apply.
A.
(-3, 6)
B.
(-2, 0)
C.
(0, -2)
D.
(6, -3)
E.
(8, 2)
Answer:
i think is the A and D
i hope this hepl you
I’m helping my brother with his homework and I’m confused. Would this be split into 1/2 for each pizza or 1/4 like shown in the photo?
Answer:
1/2
Step-by-step explanation:
1/2 because if you divide 2 pizzas into 4 then you can get 4 1/2s.
if you slice the pizza into fourths then each person will get 2/4rts and which is the same thing as 1/2 only 1/2 is simplified.
Find the sum.
(8b + 8) + (7m – 2) + (4n + 4)
(8b + 8) + (7m - 2) + (4n + 4) =
(Simplify your answer.)
Answer:
8b + 7m + 4n = -10
Step-by-step explanation:
(8b + 8) + (7m – 2) + (4n + 4)
First thing to do is to try to open the brackets, so we have
8b + 8 + 7m - 2 + 4n + 4 =
Next, we collect like terms, so that we have
8b + 7m + 4n + 8 - 2 + 4 =
8b + 7m + 4n + 10 =
And rearranging, we have that
8b + 7m + 4n = -10
Help me please !!!!!!!
Answer:
1 = 40
2 = 140
3 = 40
4 = 140
5 = 40
6 = 140
7 = 40
Step-by-step explanation:
A straight line is 180 so I did 40 because 140 + 40 = 180. once I figured 3 out I basically had the rest.
which value is the solution for this equation? 7(b - 2) = -7
a. -2
b. 1
c. 2
d. 5
Answer:
1
Step-by-step explanation:
7b -14 = -7
or b= 14-7 / 7
or b= 7/7
b is 1
Im asking for you're help Citizen I have a question for you Me
Answer:
No idea
Step-by-step explanation:
No idea for that either
Hope this helps, have a good day
Step-by-step explanation:
1. The bag contains fewer than 10 carrots
2.catherin3 biked farther than 10 miles
3.the chair is shorter than 20 in
4.carlos scored over 20 points
In July, the average temperature in Florida was 104°F, while the average temperature in California was 5° cooler. What was the average temperature in California?
°
Answer:
99 degrees F
Step-by-step explanation:
subtract 5 from 104
Answer:
average 104 degrees F
Step-by-step explanation:
5.
16 yd)
14 yd
6 yd
are you looking for the perimeter or area or what