The radius of the base of a cylindrical tank is 25cm,if the water level rises 10cm/s .Calculate the change in volume of water in the tank after 35seconds. Can you help me with this question?
Answer:
The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.
Step-by-step explanation:
Geometrically speaking, the volume of the cylindrical tank ([tex]V[/tex]), measured in cubic centimeters, is determined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
By Differential Calculus, we obtain a formula of the rate of change of the volume of the cylinder ([tex]\dot V[/tex]), measured in cubic centimeters per seconds:
[tex]\dot V = \pi\cdot r^{2}\cdot \dot h[/tex] (2)
Where [tex]\dot h[/tex] is the rate of change of the water level, measured in centimeters per second.
Given that the rate of change of the water level is constant, then the rate of change of the volume of the cylinder is also constant. Hence, the change in the volume of the cylinder ([tex]\Delta V[/tex]), measured in cubic centimeters, is:
[tex]\Delta V = \pi\cdot r^{2}\cdot \dot h \cdot \Delta t[/tex] (3)
If we know that [tex]r = 25\,cm[/tex], [tex]\dot h = 10\,\frac{cm}{s}[/tex] and [tex]\Delta t = 35\,s[/tex], then the change in the volume of water in the tank is:
[tex]\Delta V = \pi\cdot (25\,cm)^{2}\cdot \left(10\,\frac{cm}{s} \right)\cdot (35\,s)[/tex]
[tex]\Delta V \approx 687223.393\,cm^{3}[/tex]
The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.
a trail mix recipe calls for 3/4 a cup of raisins for every 5/8 of a cup of peanuts. how mant peanuts will be needed for 1 cup of rason?
Answer:
5/6 rup of raisins?
Step-by-step explanation
Sorry if that is wrong
This recipe makes 24 cupcakes.
Deepak only wants to make 16 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 24 cupcakes
12 ounces butter
6 ounces sugar
9 ounces flour
3 eggs
please help
Answer:
Deepak only wants to make 16 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 16 cupcakes
8 ounces butter
4 ounces sugar
6 ounces flour
2 eggs
Step-by-step explanation:
Answer:
butter: 8
sugar: 4
flour: 6
eggs: 2
Step-by-step explanation:
Multiply by 2/3.
Pls help ratios and proportions
Answer: See explanation
Step-by-step explanation:
3.) Boys║5║10 ║60
Girls ║7║ 14 ║84
7 × 2 = 14
5 × 2 = 10
5 × 12 = 60
7 × 12 = 84
Hope I helped!
plplpl solve the answer
Given:
The expression is:
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
It can be rewritten as
[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]
[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex] [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]
[tex]=\dfrac{-8}{9}[/tex] [tex][\because \sqrt[n]{x^n}=x][/tex]
The value of given expression is [tex]\dfrac{-8}{9}[/tex].
Therefore, the correct option is b.
What is the end behavior of the polynomial function?
Answer:
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
HOPE THIS HELPS
(7a – 6) + 3.- 8a – (-2a +5).
Answer:
a - 8
Explanation:
7a−6+3−8a−(−2a+5)
Distribute the Negative Sign:
=7a−6+3−8a+−1(−2a+5)
=7a+−6+3+−8a+−1(−2a)+(−1)(5)
=7a+−6+3+−8a+2a+−5
Combine Like Terms:
=7a+−6+3+−8a+2a+−5
=(7a+−8a+2a)+(−6+3+−5)
=a + −8
Answer:
= a − 8
20 pts, unhelpful/blank answers get reported~
Which ordered pair is a solution to the system of inequalities shown on the graph?
A. (3, 3)
B. (5, 2)
C. (-2, 1)
D. (1, -2)
Answer:
b
Step-by-step explanation:
I'll give brainliest if I get the question correct. =)
Step-by-step explanation:
We have logb(8) = 3 and logb(0.5) = -1.
=> b³ = 8 and 1/b = 0.5
=> b = 2.
Therefore,
logb(4b) = log2(8) = 3.
Answer:
We have, logb(8)=3 and logb(0.5)=-1
→b³=8 and 1/b=0.5
→b=2
Therefore,
logb(4b) = log2(8)=3.
PLEASE HELP ASAP, ILL GIVE BRAINLIEST
Answer:
false, false, true, true, true
Step-by-step explanation:
Let's check each of the answers by plugging them into the inequality.
-2 (false):
[tex]9-3(-2)<12\\9-(-6)<12\\9+6<12\\15<12[/tex]which is false.
-1 (false):
[tex]9-3(-1)<12\\9-(-3)<12\\9+3<12\\12<12[/tex]which is false.
0 (true):
[tex]9-3(0)<12\\9<12[/tex]which is true.
1 (true):
[tex]9-3(1)<12\\9-3<12\\6<12[/tex]which is true.
2 (true):
[tex]9-3(2)<12\\9-6<12\\3<12[/tex]which is true.
Due to the closure of the pulp and paper mill, the population of the small town is
decreasing at a rate of 12% annually. If there are now 2400 people living in the town,
what will the town's projected population be in eight years?
Answer:
The population will be 863 in the next eight years
Step-by-step explanation:
Here, we want to know the population of the town in 8 years, given the percentage decrease and the present population
The exponential equation to use is that;
P = I( 1 - r)^n
where P is the future population we want to calculate
I is the present which is 2,400
r is the percentage of decay given as 12% = 12/100 = 0.12
n is the number of years which is 8
Substituting these values, we have that
P = 2,400(1 - 0.12)^8
P = 2,400(0.88)^8
P = 863
What is the value of x? Trigonometry
A) 26.35
B) 26.9
C) 51.96
D) 65.58
Step-by-step explanation:
By Sine Rule,
x/sin42° = 37/sin110°.
Hence x = 37sin42°/sin110° = 26.35 in. (A)
Two linear functions are shown below. Which function has a greater rate of change?
Answer:
What's at stake?
Mountaer their local fish stocks in a sustainable way. Local fishers are now responsible for confiscating fishing equipment that damages the environment and collecting fees for fishing licenses—providing them with an extra income while conserving their livelihoods in the long-term.
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Philippines: We've helped eco-tourism to flourish in Donsol, where visitors now flock to see schools of endangered whale sharks, the world's largest fish, bringing hundreds of thousands of dollars into the local economy. Communities benefit—and so do the fish and other marine species, as local people recognize the need to conserve their largest asset.
India: Arunachal Pradesh is one of the only regions in India where indigenous people control their own forest regions. We've been working with them to create Community Conserved Areas, special areas where development is carefully managed and conservation regulations are strictly enforced. It's helping people preserve their way of life, and benefiting species like red pandas that live in the forest.
Brazil: We're helping local people in the state of Acre to make a better living by protecting the Amazon rainforest than by clearing it for logging or farming. We worked with the state government to introduce a new law that recognizes the huge value of the environmental services—such as storing carbon—that the rainforest provides, and offers people incentives to conserve it.
These include payments to local people who look after their land, money for community projects, and technical help with sustainable agriculture and forestry. We're helping people develop sustainable livelihoods, such as rubber tapping and selling forest products like brazil nuts.
Did you know?
Mountain gorillas weren't discovered until 1902, and there were fears they would not survive into the 21st century. They're the largest type of gorilla—adult males weigh 220kg and have an arm span of over 2m.
Facts and stats
26 percent—increase in the mountain gorilla population in the Virunga volcanoes since 2003, up from 380 to 480
US$678,000—money local communities in Uganda earn each year from tourists who come to see mountain gorillas
US$1 million—annual value to the Ugandan economy of each of its gorillas
120,000 sq km—area of wildlife habitat sustainably managed by communities in Namibia, where wildlife sightings have almost doubled since 2004
What next?
We involve local people in all our conservation work, and we're looking to replicate the success of our community-led conservation projects in other areas
We believe that what's worked for mountain gorillas can do the same for lowland gorillas in central Africa. We're bringing the Namibian model of community-run wildlife conservancies to neighbouring Botswana and Zambia. We think that Acre can provide a model for international efforts to reduce carbon emissions from deforestation.
But we're also looking to a much bigger community: the global one.
Ultimately, we all benefit from nature's services—from food, materials and medicines to clean water and fertile soils, as well as the joy and wonder nature brings. We want to show people all over the world that looking after our one and only planet is in everyone's interest.
How you can help
Buying Forest Stewardship Council (FSC)-certified wood and paper benefits local people as well as wildlife: always look out for the FSC label when you're shopping.
Planning an exotic holiday? Be an ecotourist! Choose a trip that benefits wildlife and local communities.
Find out more about mountain gorillas.
Step-by-step explanation:
Function A changes at a faster rate than Function B.
What is the slope?A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run."
Given Two functions in form of a graph and chart.
For function A
Two random coordinates are(4, 32) and (8, 44)
Thus, the slope of function A = (44 - 32)/ (8-4) = 12/4 = 3
For function
Two random coordinates are(0, 2) and (6, 9)
Thus, the slope of function A = (9 - 2)/ (6 - 0) = 7/6 = 1.17
Since Slope of the function A is Bigger than the slope of the function B
Therefore, Function A has a greater rate of change than B.
Learn more about the slope here:
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PLEASE ANSWER FAST ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
answer like
answer 1 is .__________________
answer 2 is .__________________
answer 3 is .__________________
answer 4 is .__________________
Answer:
1. D
2. C
3. A
4. B
Step-by-step explanation:
mark me brainliest if im right
Answer:
1. D
2. C
3. A I think
4. B
Step-by-step explanation:
1. The shown equation has a value of negative twelve and so does the equation 4n+8
2. If you use distributive property than you can get this answer
3. It shows the equation to a solve the problem
4. It is the best example that shows how to find how many nickels that Jeremy has
HELP DUE in 1 HOUR
m∠1 =
Answer:
I believe the answer is 103.
Step-by-step explanation:
Since line a is parallel to line b, angle m1 = angle m3.
Supposedly, angle m4 + angle m5 = 180 degrees, since it's a line. That also means that angle m3 + angle m4 = 180 degrees too.
That means:
angle m4 + angle m5 = angle m3 + angle m4
Subtract angle m4 from both sides of the equation.
You get,
angle m5 = angle m3.
Angle m5 is 103, and as we stated earlier, angle m3 = angle m1.
Thus, angle m1 = 103 degrees.
Which expression is equivalent to 3m+1-m?
2+m-1+m
1+m
3m+1
3m
Simplify the expression below using the distributive property.
Answer:
9+11i
Step-by-step explanation:
Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. 1.5 quarts of seafoam paint is made of 70% blue, 30% yellow. Use the percent equation to find how much yellow paint they should use.
Answer:
0.45
Step-by-step explanation:
30% of 1.5 = 0.45
Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. [tex]1.5[/tex] quarts of seafoam paint is made of [tex]70[/tex]% blue, [tex]30[/tex]% yellow.
So,
[tex]30[/tex]% of [tex]1.5[/tex] is
[tex]\frac{30}{100}[/tex] ×[tex]1.5=0.45[/tex] %
Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.
To know more about the percentage
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A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded monthly.
A) 12y
B) 12y 4m
C) 12y 8m
D) 13y
9514 1404 393
Answer:
C) 12y 8m
Step-by-step explanation:
The amount of principal P at compound monthly at interest rate r per year is given by ...
A = P(1 +r/12)^(12t) . . . . after t years
Here, we want to find t, so ...
A/P = (1 +r/12)^(12t)
log(A/P) = (12t)·log(1 +r/12)
t = log(A/P)/(12·log(1 +r/12))
Filling in the given values, we find t to be ...
t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months
It will take about 12 years 8 months to double the money.
Simplify and solve for x
5 (x + 20) = 7x + 30
Answer:
x = 35
Step-by-step explanation:
5(x + 20) = 7x + 30
Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.
5x + 100 = 7x + 30
Subtract 7x from both sides.
-2x + 100 = 30
Subtract 100 from both sides.
-2x = -70
Divide both sides by -2.
x = 35
. A swimming pool is in the shape of a rectangle and is 15 feet wide by 25 feet long. How far is it from one corner of the pool to the opposite corner of the pool?
Answer:
29.15 feet
Step-by-step explanation:
Pythagorean theorem
The dance committee has $75 to spend on centerpieces. They spent $30 on flowers.
If each vase costs $3, write and solve an inequality to find how many vases they
can buy. (Example 3)
Plzzz help I only have till 11 to finish these
Answer:
135
Step-by-step explanation:
75 x - 30 = 45
Inequality
45 x 3 =
135 (Inequality)
PLEASE HELPP Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
12/90 = 6/45 True
False
8/12 = 5/8
9/36 = 3/12
7/21 = 5/15
Answer:
12/90=6/45 and false is 8/12 = 5/8
dj
Solve by either substitution or elimination.
2x + 2y = 6 x + y = 4
Answer:
No solution
Step-by-step explanation:
If you were to do elimination, both the x and the y would cancel out and get 0=1, which is not true. And if you were to do it as substitution, then it would still get an answer that doesn't make sense.
please help i will mark brainliest
Answer:
2
Step-by-step explanation:
Answer:
So I'm not going to give you the answer but
Step-by-step explanation:
for x left is - and right is +
for y down is - and up is +
ppl on Tik t0k was begging her to drop this song she took so long to drop it finally came out today the snippet sounded so good that why they was begging it even got a dance to it I listen to the full song it sound trash some ppl did that too but a lot of them was saying it sound different before it was on a speaker
REEEEEEEEEEEEEEEeeEEEEEEEEEEEEEEEEEEEEEEEEEe
If bricks are each 3 inches × 4 inches × 8 inches, how many bricks can be fit into a space which is 1 foot × 4 feet × 8 feet?
A 1 to 250
B 251 to 500
C 501 to 750
D 751 to 1000
E >1000
Answer:
The correct option is B.
Step-by-step explanation:
Consider the provided information.
The dimensions of bricks are in inches so convert foot into inches.
1 foot = 12 in
4 feet = 48 in
8 feet = 96 in
To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.
[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]
[tex]\text{Number of bricks in space}=576[/tex]
Hence, 576 bricks can be fit into a space.
Therefore the correct option is B.
At the market, you buy a soda for
$1.75 plus 3 bags of chips. If your
total was $4.72 without tax, how
much did each bag of chips cost?
WRITE AN EQUATION and solve.
Please hurry
Answer:
Each bag of chip costs 0.99 (99 cents)
Step-by-step explanation:
Soda = 1.75
Bag of chips = x
1.75 + 3x = 4.72
Subtract 1.75 from both sides;
3x = 2.97
Divide both sides by 3;
x = 0.99
A quilt has a side lengths of (2x+4) and (3x+3), what is the area of the quilt.
Answer:
[tex]Area \: of \: the \: quilt \: is \: length \times breadth \\ = (2x + 4)(3x + 3) \\ = 6 {x}^{2} + 6x + 12x + 12 \\ = 6 {x}^{2} + 18x + 12[/tex]
6x^2+18x+12 is the right answer.the length of a rectangle is 1 1/8 cm longer than the width. The perimiter of the rectangle is 13 1/4 cm. What are the width and length?
Answer:
Length = 3 7/8cm
Width = 2 3/4 cm
Step-by-step explanation
Let the length of the rectangle by L
Let the width be W
If the length of a rectangle is 1 1/8 cm longer than the width, then;
L = W + 1 1/8
L = W +9/8
perimeter of the rectangle = 2(L+W)
perimeter of the rectangle = 2(W + 9/8 + W)
13 1/4 = 2(2W + 9/8)
53/4 = 4W + 9/4
4W = 53/4 - 9/4
4W = 44/4
4W = 11
W = 11/4
Hence the width of the rectangle is 11/4 or 2 3/4 cm
Recall that L = W + 9/8
L = 11/4 + 9/8
L = (2(11) + 9)/8
L = 31/8
L = 3 7/8cm
hence the length is 3 7/8 cm
Answer:
Length = 3 7/8cm
Width = 2 3/4 cm