Answer: the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Step-by-step explanation:
Given the data in the question;
H/h = R/r
10/5 = 6/r
r 1 = 30/10 = 3
Also
10/h = 6/r
r2 = 6h/10 = 3/5 × h
Volume = 1/3πr²h
V = 1/3 × π × (3/5 × h)² × h
V = 1/3 × π × 9/25 × h³
V = 3π/25 × h³
Now
dv/dt = 3π/25 × 3 × h² × dh/dt
-5 = 3π/25 × 3 × 25 × dh/dt
-5 = 3π × 3 × dh/dt
-5 = 9π × dh/dt
dh/dt = -5/9π
dh/dt = -0.1768 cm/sec
therefore, the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Beth’s summer vacation lasted 81 days. At the beginning of her vacation, she spent some time at soccer camp, 6 days at her grandmother’s house, and 15 days visiting Glacier National Park with her parents. She then has 32 vacation days remaining. How many weeks did Beth spend at soccer camp?
Answer:
4 weeks
Step-by-step explanation:
subtract the total days with the days you know what she was doing
81-6-15-32= 28 days
this meant that she had 28 days to go to soccer camp, which is 4 weeks because 28/7=4
4 weeks
;))))))))))))))))))))))))))))))))))))))
A loan of $7,000 was approved for 36 weeks. Total amount (principal and interest) was paid as S 7388 charged with an 8% annual rate of interest. What is the value of t time in years?
Answer:
.7
Step-by-step explanation:
I'm going to assume that there will just be one final payment at the end. I am also going to discard the fact that the loan was approved for 36 weeks becuase I don't know what to do with that information
I will be using the following formula
[tex]FV=PV(1+i)^n[/tex]
Plugging in the numbers we get
7388=7000(1+.08)^n
We we divide by 7,000 and simplify what we can to get
1.0554=1.08^n
We then write the following log
log(1.0554)/log(1.08)=n
Compute this and get n= .7
which is the best way to describe l-2l ?
Answer:
opposite of 2
Step-by-step explanation:
Answer:
The answer is the Opposite of 2
Step-by-step explanation:
Hope this helps!
Over the last three months, Camilla has been helping her mother grow fruits and vegetables in their
family's garden. Now that it's early summer, it's time to start harvesting the strawberries. Camilla created
a line graph to track the total production (the total number of strawberries) of one strawberry plant.
Camilla plots the plant's production at the end of each week.
10-
9
8+
7-
pounds
4-
3
2+
1
1 2 3 4 5 6 7 8 9 10
weeks
Answer
i don't know what you want me to do so if you add them it would be three cause of all the adding and subtracting i am very sorry for wasting your time.
Step-by-step explanation
Which is smallest to largest 5.0, 5.008 or 5.15
that question makes no sense
Find the slope of the line. (10, 6) (4, 1.2)
let me know if I am missing some pieces to the problem by commenting :)
Answer:
M= 0.8
Step-by-step explanation:
i did some research and that's the answer
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls
Answer:a
Step-by-step explanation:all the other ones are not smart
if u think about it
U can’t dived t and I so just do the one that doesn’t do that
Pleaseee for the love of god help
Answer:
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4 terms. :2(x+4) is a product.
Answer:
three factors
Step-by-step explanation:
PLZ answer this for me its urgent PLZ needed Now!
Answer:
1 or 2 i think 2
Step-by-step explanation:
It took sara mother 6 hours to drive to the university and bring Sarah back home for spring break
Answer:
6 hours
Step-by-step explanation:
If it took Sara's mother six hours to do that, it took six hours.
? Solve for X
3x + 6 = 21
Answer:
x=5
Step-by-step explanation:
21-6=15
3x=15
15÷3=5
Answer:x=5
Step-by-step explanation:
A phone company charges $0.25 for every minute someone goes over the limit. What is the independent and dependent variables
Answer:
time over plan is independent and the .25 is the dependent
Step-by-step explanation:
independent variables are changing depending on the dependent variables
A cylinder is 12 feet high and has a diameter of 10 feet. in cubic feet, what is the approximate volume of the cylinder
Answer:
300π or 942.477796077 cubic feet
Step-by-step explanation:
25π*12=300π
The approximate volume of the given cylinder is 942.48 ft³.
What is the volume of the cylinder?The volume of the cylinder is the density which signifies the amount of substance it can hold.
Mathematically,
V = πr²h
where, r is the radius of the cylinder
and h is the height of the cylinder.
It is given that,
Height h of the cylinder = 12 ft
Diameter d of the cylinder = 10 ft
⇒ Radius r = d/2
⇒ r = 10/2
⇒ r = 5 ft
Now, Volume of the cylinder V = πr²h
Putting the values of r and h of given cylinder. We get,
⇒ V = 3.14 × (5 ft)² × 12ft
⇒ V = 3.14 × 25 ft² × 12 ft
⇒ V = 3.14 × 300 ft³
⇒ V ≈ 942.48 ft³
The approximate volume of the given cylinder is 942.48 ft³.
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What’s the difference? (6d+5)-(2-3d)=
Answer:
9d+3
Step-by-step explanation:
Distribute the Negative Sign:
=6d+5+−1(2−3d)
=6d+5+(−1)(2)+−1(−3d)
=6d+5+−2+3d
Combine Like Terms:
=6d+5+−2+3d
=(6d+3d)+(5+−2)
=9d+3
Help me with number 7 (geometry) hint= x is 18 1/3 (show work)
Answer:
2x-15+10x-25=180
2x-10x=180+15+25
-5x=220
=44
ı hope its true
Step-by-step explanation:
Jonathan put ice cream in the freezer, and the ice cream remained frozen.
Which of the following best describes this situation?
Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.
Answer:
C- Based on the data, this is an example of causation
Step-by-step explanation:
This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!
The option best describes this situation is C; Based on this data, this is an example of causation.
What is correlation?Correlation of two pairs of data values tells about the degree of movement that can occur in one of the data values when other data value is increased or decreased respectively.
Also, Causation refers to causing something. When one variable influences another variable.
The ice cream remained frozen caused by the fact that it was put in the freezer by Jonathan.
We can also say that, ice cream remained frozen is the result of the occurrence of the event that it was put in the freezer.
So, The option best describes this situation is C; Based on this data, this is an example of causation.
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h(x)=4-2x find h (-3)
Answer:
10
Step-by-step explanation:
h(x) = 4 - 2x
h(-3) = 4 - 2*(-3)
= 4 + 6
= 10
The candy maker discovered for every 10 pieces of wrapped candy, 4 were not wrapped. How many pieces of candy were not wrapped if there was 3,640 pieces of candy?
Answer:
1,456
Step-by-step explanation:
x% * 10= 4 x = 40%
40% * 3,640 = 40/100 * 3,640 = 4*364 = 1,456
Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?
$52.00
$14.50
$40.50
$48.50
Answer: The answer is $48.50
Answer: The answer is $52.00.
Step-by-step explanation:
Step 1: Find the Unit Rate
$32.50 divided by 5 = $6.50
Step 2: Find the Price for Babysitting for 8 Hours
$6.50 x 8 (hours) = $52.00
I hope this helps!
A cube has an edge measuring 4 inches what is the surface area of the cube in inches^2
Answer:
96^2in
Step-by-step explanation:
4x4=16
16x6=96
Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
2 hours 15 minutes
Step-by-step explanation:
Given that :
Ben's speed = 3 mi/hr
One and half hours after Ben leaves = 1.5 hours
Ben's distance = 3 mi/hr * 1.5 = 4.5 miles
Amanda's speed = 5 mi/hr
Time taken before Amanda catches up:
Let time taken = x
Distance = speed * time
Ben's distance = Amanda's distance
4.5 mi + (3 * x) = 5 * x
4.5 + 3x = 5x
4.5 = 5x - 3x
4.5 = 2x
x = 4.5 / 2
x = 2.25 hours
Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes
It would take Amanda 2.25 hours to catch up with Ben
Speed is the ratio of distance to time. It is given by:
Speed = distance/time
Given that Ben covers a distance d at time t, hence:
3 = d/t
d = 3t
Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5
5 = d/(t - 1.5)
d = 5t - 7.5
Since they catch up, hence:
3t = 5t - 7.5
2t = 7.5
t = 3.75 hours
Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours
Hence it would take Amanda 2.25 hours to catch up with Ben.
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Make X the subject of this equation: ax – y +z = b
Answer:
is this all of the question?
Step-by-step explanation:
Convert 6 1/2 % into decimal
Answer:
0.065
Step-by-step explanation:
Answer:
Step-by-step explanation: since 6 1/2% isn't a whole decimal, you would simply put your answer as 0.065. :)
A bakery sells 10 donuts for every 2 scones. What is the ratio of donuts to scones
Answer:
I think its 20?Im not sure
A +40 =0. What is the value of A?
Answer:
-40
Step-by-step explanation:
Answer:
hope you for the answer
Step-by-step explanation:
A+40=0
A=0-40
A=-40#
What is the length of one leg of the triangle?
O 9 cm
O 92 cm
O 18 cm
1872 cm
Answer:
9 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
To find the answer of this equation, you would use the law of sine
so... (18)/sin(90)= (x)/sin(45)
to find for the length of one side simply isolate for x.
Because sin(90) equals 1, you just have to multiply 18 by sin(45) which equals [tex]\sqrt{2}[/tex]/2
so x= 9[tex]\sqrt{2}[/tex]
Is the relationship between time and distance an arithmetic sequence?
Explain.
PLEASE ANSWER ASASP! Ill GIVE BRAINLEST!!!!!!!!!!
that isnt the actual answer i just put it there
Answer:
I'm 80% sure its greater than, because $10 per week for 30 weeks Is 300 I think
ILL GIVE BRAINLIEST PLZ ANSWER
A consistent, dependent system of equations is a system with __________. (1 point)
only one line
intersecting lines that have different slopes and different y-intercepts
intersecting lines that have the same slope but different y-intercepts
intersecting lines that have the same slope and the same y-intercept
Answer:
Option A. Intersecting lines that have different slopes and different y-intercepts.
Step-by-step explanation:
we know that
A system of two linear equations can have one solution, an infinite number of solutions, or no solution.
If a system has at least one solution, it is said to be consistent
If a consistent system has exactly one solution, it is independent
If we have intersecting lines that have different slopes and different y-intercepts
then
will have one solution
therefore
The system will be consistent independent
Answer:
hope this helps
Step-by-step explanation:
intersecting lines that have the same slope and the same y-intercept