Answer:
dh/dt = 8/9π
Step-by-step explanation:
Given that
Volume of A cone = 1/3πr²h.
Assuming v is the volume of the tank, then dv/dt = 2 m³/min
Assuming h is the height of the water we're looking for dh/dt
To start, we need to find a relationship between dh/dt and dv/dt
We then write v as a function of h, instead of having it as h & r, and then by using similar triangles, we notice that
r/h = 2/4, essentially, r = h/2.
Now, we substitute for this r, in the formula for volume
V = 1/3πr²h
V = 1/3 * π * (h/2)² * h
V = 1/3 * π * h³/4
If we differentiate v, wrt t, we have
dv/dt = π/12 * 3h² * dh/dt
dv/dt = π/4 * h² * dh/dt
Remember that h = 3, so, substitute for h
2 = π/4 * 9 * dh/dt
8/π = 9 * dh/dt
dh/dt = 8/9π
Overnight, the temperature in Chicago was just – 7°F. But by the afternoon, the temperature had risen 9°F. What was the temperature in Chicago that afternoon?
Answer:
2°F is the answer
Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211
Answer:
Option C is correct.
Step-by-step explanation:
Distance already traveled by Ed [tex]=211[/tex] miles
Also, Ed is driving at a rate of 63 miles per hour.
Distance [tex]=[/tex] Speed × Time
Distance traveled by Ed in [tex]x[/tex] hours [tex]=63x[/tex]
Total distance traveled by Ed [tex]=211+63x[/tex]
Also, total distance traveled by Ed is [tex]638[/tex] miles.
Therefore,
[tex]638=211+63x[/tex]
Option C is correct.
Which product is positive?
I NEED THE ANSWER ASAP
Answer:
D
Step-by-step explanation:
the others have a odd number of negatives.
can i have brainliest?
Suppose that the second term of a geometric sequence is 4 and the sixth term is 16. Find the fourth term
Answer:
8Step-by-step explanation:
Given GPa₂ = 4, a₆ = 16To finda₄ = ?Solutiona₂ = ar = 4a₆= ar⁵ = 16Substitute ar in the second equation
ar⁵= 164r⁴ = 16r⁴ = 4r = √2Then finding a₄
a₄ = a₂*r² = 4*(√2)² = 4*2= 8Cups are sold 20 to a package and plates are sold 50 to a package. If you want to have the
same number of each item for your family reunion, what is the least number of packages of
each you need to buy?
Answer:
2 packs of plates and, 5 packs of cups.
Answer:
2 and 5
Step-by-step explanation:
because 2 and 5 makes sense
What are the three ways we can write ratios
Answer:
Step-by-step explanation:
The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
Three ways to write Ratios are : in form of fraction, in form of decimals. Consecutively, they can also be written in form of percentage.
Ratio is an ordered pair of numbers a & b , a : b , where b ≠ 0. It can be written in above mentioned 3 other forms
Considering example is 4 : 8
It can be represented in form of fraction 4 / 8 , that can further be reduced to 1 / 2 It can also be written in form of decimal, 1 / 2 = 0.5 It can also be written in form of percentage, 4/8 = 1/2 = 0.5 = 50%To learn more, refer https://brainly.com/question/13419413?referrer=searchResults
In science class savanna measures the temperature of a liquid to be 24 Celsius her teacher wants her to convert the temperature to degrees Fahrenheit what is the temperature of savannas liquid to the nearest degree in Fahrenheit
Answer:
Mmm
Step-by-step explanation:
Please help fast! I need the answer along with step by steps explaining to I can learn it thanks I’ll give brainlist to who does it for me I appreciate it!
Answer:
?
Step-by-step explanation:
A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pay for college expenses, and intends to pay it in one ye
what will he have to pay? (Round your answer to the nearest cent.)
$
Answer: 1902.36
Step-by-step explanation:
When interest is compounded monthly , the formula to find the accumulated amount is
[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex] , where P = principal value , r = rate of interest , t = time.
As per given,
r= 24% = 0.24
P= $1500
t= 1 year
Put all value in formula , we get
[tex]A= 1500(1+\dfrac{0.24}{12})^{12\times 1}\\\\=1500(1+0.02)^{12}\\\\=1500(1.02)^{12}\\\\=1500(1.26824179456)\approx1902.36[/tex]
Hence, he need to pay $1902.36.
Use the system of equations and graphs below to complete the sentence.
X - 2y = 5
3x + 15y = -6
The graph that correctly represents the given system of equations is graph (A, B, C, D), and the solution to the system is ((-4, -3, 3, 4), (-2, -1, 1, 2)).
Answer:
Graph B
The Blanks: (3, -1)
Step-by-step explanation:
I got it right on edmentum
Answer:
B, 3,1
Step-by-step explanation:
Running out of time :)
find the number:
the tens digit of a two digit number is twice the ones digit. If the digits are reversed the new number is 36 less than the original number. Find the number.
Answer:
It's 84
Step-by-step explanation:
If you dilate a figure with scale factor r = 1/2, what scale factor do you use to reverse that dilation and move it back?
Answer:
r = 2
Step-by-step explanation:
When a figure is dilated with scale factor r = 1/2, the figure is halved. To reverse it back to normal, you would have to double the halved figure. Doubling something is the same as dilating it with a scale factor of 2.
Hope this helps :)
answer the multiple choice question
Answer:
200
Step-by-step explanation:
There are 6 numbers on a standard number cube. If the rolling is random, there should be a 1/6 chance of rolling a certain number. Basically, someone would theoretically roll each number 100 times out of 600. Because there are two numbers on the dice greater than 4, multiply 100 by 2 to find the answer.
The cost of having a car towed is given by the linear function C(x) = 2x + 65, where C(x) is in dollars and x is the number of miles the car is towed.
Find the cost of having a car towed 11 miles.
A-$22
B-$77
C-$87
D-$67
I need help ASAP Due in a day marking brainliest!!!
Answer:
i ont hel.p.............................................. .
Step-by-step explanation:
Answer:
D) -3Step-by-step explanation:
Imagine a horizontal line that intersects the graph at 3 points
Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4
D) -3 is the only option in the same intervalFind all missing angles
What date and time is it 2011 minutes after the beginning of January 1, 2020? Include A.M. or P.M. in your answer.
Answer:
9:15 pm
Step-by-step explanation:
WILL GIVE BRAINLIST BUT PLEASEEEEEEEEEEEE HELP MEEEEEEEEEEHHHHHHHHHHHHH
Answer:
its b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A bed measures 57 inches by 76. What is the distance between opposite corners of the bed
Answer:
Step-by-step explanation:
Because bed is rectangular and diagonal is dividing it into two right angled Δs , we are using Pythagorean Theorem c² = a² + b²
c² = 57² + 76²
c² = 3249 + 5776 = 9025
c = 95 inches
Why do people ask on here if there's some body that would go out with them? I don't get can some someone please tell why.
Answer:
Step-by-step explanation:
Some people just want to mess around
Just ignore it!!!:)
Answer:
frrrrr. ig bc there desperate lm.ao
Step-by-step explanation:
Fuimos al Circo "Hermanos Poncho y Carlos", y tuvimos que pagar en total $350 por mis dos hermanos, mis padres y yo. Mi mamá pagó 1/7 parte del total, mi hermano mayor 2/5 del total y mi papá el resto. ¿Cuánto pagó mi papá?
Que operación necesito hacer plss ?
Answer:
$160
Step-by-step explanation:
El monto total a pagar es de $350
[tex]\dfrac{1}{7}[/tex] es pagado por mamá
[tex]\dfrac{2}{5}[/tex] es pagado por el hermano mayor
La porción pagada por papá es
[tex]1-(\dfrac{1}{7}+\dfrac{2}{5})=1-(\dfrac{5+14}{35})\\ =1-\dfrac{19}{35}\\ =\dfrac{35-19}{35}\\ =\dfrac{16}{35}[/tex]
Esta cantidad pagada por papá es
[tex]350\times\dfrac{16}{35}\\ =10\times 16\\ =\$160[/tex]
Esta cantidad pagada por papá es $160.
What is the sum of 5x squared -12x +2
Help fast please due tonight at 11:30 Caroline is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Caroline's test score (out of 40) if she got 2 questions wrong? What would be her score if she got x questions wrong?
Answer:
30 points out of 40
5(8 - x)
Step-by-step explanation:
40 ÷ 5 = 8 questions
8 - 2 = 6 questions right
6 * 5 = 30
I hope this helps, please mark Brainliest, thank you!
PLZ HELP ME WHAT IS THE ANSWER FOR THIS PLZ I WILL MARK BRAINLIEST!!!
Answer:
B.Andrew will have 0 points
C.4+(-4) is an expression showing how Andrew gained 4 points but lost 4 points
Step-by-step explanation:
If you add 4 for the first round then take away 4 from the second round you get 0.
The 4+ shows that Andrew gained 4 points in the first round but in the second he lost 4 points.
10x+3-4x is equivalent to 6x+3
Answer:
True
X is equal to all real numbers
Step-by-step explanation:
10x -4x = 6x
6x + 3 = 6x + 3
4x – 3y = 11
8x + 2y = 46
Answer:
y=-17 x=10
Step-by-step explanation:
4x-3y=11
8x+2y=46
8x-6y-22 8x+2(-17)=46
8x+2y=46 8x-34=46
2y-6y 46-(-22) 8x=80
-4y=68
y=-17 x=10
Fatima has a car detailing service. She charges $15.00 for a vacuum, $40.00 for exterior wash and wax, and $60.00 for complete interior clean including shampooing all upholstery. last week she had a busy week. She had 7 vacuum jobs, 23 exterior wash and wax jobs, and 15 complete interior cleans jobs. Which job category did she make the most money?
A. complete interior cleaning
B. not enough information
C. vaccum
D. exterior wash and wax
Answer:
d 40 times 23=920
Step-by-step explanation:
if you did 60 times 15= 900
the highest is 920
What do you know to be true about the values of a and b?
A. a = b
B. a < b
C. a > b
D. Cant be determined
Answer:
D. Cant be determined
Step-by-step explanation: The triangle is flipped so you dont know what at nor b is one the other triangle
Given the equation find f=4
F(x)=x+1
Answer:
F(4)=5
Step-by-step explanation:
F(x)=x+1
F(4) means that x is 4
F(4)=4+1 = 5
F(4)=5
Lacy graduated from college with $37,500 in student loans and is looking to refinance. The current interest rate is 4% for a 10 year loan or 6% for a 20 year loan.
Loan A (10 years) results in monthly payments of $379.67.
Loan B (20 years) results in monthly payments of $268.66.
What would be his total payback amount for each loan?
Answer:
Loan A = $45560.40Loan B = $64 478.40Step-by-step explanation:
Loan A
10 years = 120 monthsTotal payment
$379.67*120 = $45560.4Loan B
20 years = 240 monthsTotal payment:
$268.66*240 = $64 478.4