The rate at which the water level in the cylindrical tank rises is 0.25 m/min. This is because the volume of water in the conical tank is equal to the volume of water in the cylindrical tank when the water level in the conical tank is 3 m.
First, calculate the volume of the conical tank when the water level is 3 m. The formula for the volume of a cone is V = 1/3πr2h, where r is the radius and h is the height. In this case, r = 4 m and h = 3 m, so the volume of the conical tank is V = 1/3π(4 m)2(3 m) = 16π m3.
Next, calculate the volume of the cylindrical tank. In this case, r = 4 m and h = 5 m, so the volume of the cylindrical tank is V = π(4 m)2(5 m) = 80π m3.
Finally, calculate the rate at which the water level in the cylindrical tank must rise in order to keep the total volume of water constant. Since the volume of the conical tank is 16π m3 and the volume of the cylindrical tank is 80π m3, the total volume of water is 96π m3. Since the water level in the con
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What are the 3 types of investors?
The three types of investors in a business are, active investors, pre-investors and passive investors.
Pre-investors:
A person who is simply not involved in any kind of investments, are
called as pre-investors. A pre-investor's financial world is primarily
based upon consumption by giving a little preference to savings or
investments.
Passive investors:It is a starting point of an individual's entering into the investment
world for an individual. When an individual graduates, and learn and
gain knowledge about investments, he sub-divides his income into
investments to expand his income further.
Active investors:Active investors are basically built upon the foundation of the
passive investors. They take their investments into higher heights in
order to handle their wealth as their business.
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factorise this expression as fully as possible:
4x²+x³
Answer:
x²(4+x)
Step-by-step explanation:
4x²+x³
Both of these terms have a common factor of x² :
x²(4+x)
This is our final answer
Hope this helped and have a good day
what percentage of women in the united states work and have a child under 6 years of age?
77.2 percent of mothers with children under age 6 work in the United states.
Mothers are less likely to work when their children are young than when they are older: In 2019, women with children under the age of six had a labor force participation rate of 66.4%, while those with children aged six to seventeen had a rate of 76.8%.
Among mothers with children under the age of three, married mothers were less involved than mothers of other marital situations — 62% versus 66%.
Working women confront child care challenges: According to a Center for American Progress poll, half of American families reported trouble getting child care.
Based on the amount of time and resources based on the amount of time based on the amount of time based on the length of time based on the length of time based on the length of time based on the duration of time based on the amount of time.
More over two-thirds of homemakers indicated they would "search for employment" if they could find more affordable child care. One-third of part-time parents stated they would work more hours if child care was available.
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In the diagram, rectangle ABCD is split in half by AC. What is the value of tan x?
A. 3/4
B. 4/5
C. 3/5
D. 5/4
E. 4/3
Answer:
E
Step-by-step explanation:
Since rectangle have 90 degree angles, Angle D is a 90 degree angle.
Side CD is 3
AD is 4
We found both of those using the definition of rectangle.
[tex] \tan(x) = \frac{opp}{adj} [/tex]
[tex] \tan(x) = \frac{4}{3} [/tex]
E is correct
What is square example?
A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.
A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.
If the angles are not 90°, then the shape is a rhombus and not a square.
A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.
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What is the slope of 1/3 and 3 5?
The slope of the two points, (1,3) and (-3,5) is -1/2 and can be calculated by the point-slope formula.
We know that the slope is a change in y divided by a change in x or we can say "rise over run". The point-slope formula is given by-
(y2-y1) = m (x2-x1) ........where m is the slope.
Hence, we can manipulate it into m= (y2-y1) /(x2-x1) to find the slope of the given points.
let (1,3) = (x1,y1)
and (-3,5) = (x2,y2)
substituting these coordinates in the equation of the slope we get,
slope= (5-3) /(-3-1)
= 2/-4
= -1/2
Hence, the slope of the given two points (1,3) and (-3,5) is -1/2.
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The complete question is -
What is the slope of (1, 3) and (-3, 5)?
What was the Catholic Church's response to the Protestant Reformation?
They held a series of meetings to clarify the teachings of the Catholic Church
War between the Catholic Church and the Italian states
They accepted the viewpoints of other religious leaders
They encouraged more people to challenge the rulings of the Pope
Answer:The Council of Trent
Step-by-step: explanationwas the formal Roman Catholic reply to the doctrinal challenges of the Protestant Reformation. It served to define Catholic doctrine and made sweeping decrees on self-reform, helping to revitalize the Roman Catholic Church in the face of Protestant expansion.
:
At a sale, the price of a washing machine
was reduced by 12% to $440. What was the original price of the washing machine?
Answer:
$500
Step-by-step explanation:
100-12=88
88/100=440/x
88x=100(440)
88x=44000
/88. /88
x=500
hopes this helps
Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The value of x in the expression -2.5(4x - 4) = - 6 is 4/3.
What are the basic properties of arithmetic laws of operations?There are three types of basic arithmetic laws of operation.
Commutative law for addition and multiplication states,
a + b = b + a.
a×b = b×a.
Distributive law states,
a(b ± c) = ab ± ac.
Associative law states,
a + (b + c) = (a + b) + c.
Given, -2.5(4x - 4) = - 6.
∴ - 2.5(4x) - 2.5(-4) = - 5.
- 12x + 10 = - 6.
- 12x = - 16.
12x = 16.
x = 16/12.
x = 4/3.
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Giovanni's family owns an Italian restaurant that sells pizzas and calzones for lunch. The table shows
the restaurant's lunch sales for a weekend.
Day
Saturday
Sunday
How much does 1 calzone cost?
$8.75
O$9.61
$10.25
Number of Pizzas
16
20
$10.90
Number of Calzones
12
8
Đ
Total Amount Sold
$269
$275
The cost of one calzone given the information in the table is $8.75 (first option).
What is the cost of one calzone?The first step is to form a system of equation to represent the information in the question:
16p + 12c = 269 equation 1
20p + 8c = 275 equation 2
Where:
p =cost of pizzas bought
c = cost of calzones bought
The elimination method would be used to determine the cost of one calzone.
Multiply equation 1 by 5 and equation 2 by 4
80p + 60c = 1345 equation 3
80p + 32c = 1100 equation 4
Subtract equation 4 from equation 3
28c = 245
Divide both sides of the equation by 28
c = 245 / 28
c = $8.75
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How do i solve this? A quadratic function has the solution \displaystyle x=3\pm2ix=3±2i . The function can be written in standard form as \displaystyle y=ax^{2}+bx+cy=ax
2
+bx+c . What are the values of a, b, and c?
The values of a, b and c if the root x = 3 ± 2i are 1, -6 and 13
How to determine the values of a, b and c?From the question, we have the following parameters that can be used in our computation:
x=3\pm2ix=3±2i
y = ax2 +bx+c
Rewrite the above expressions properly
So, we have the following representation
x = 3 ± 2i
y = ax² + bx + c
This means that
x₁ = 3 + 2i
x₂ = 3 - 2i
The quadratic equation is then calculated as
y = (x - x₁) * (x - x₂)
Substitute the known values in the above equation, so, we have the following representation
y = (x - (3 + 2i)) * (x - (3 - 2i))
This gives
y = ((x - 3) + 2i) * ((x - 3 - 2i)
Apply the difference of two squares
y = (x - 3)² + 4
Expand the bracket
y = x² - 6x + 9 + 4
Evaluate
y = x² - 6x + 13
Hence, the values of a, b and c are 1, -6 and 13
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The area of Circle X is what percent of the area of Circle Y
A.16%
B.278%
C400%
D.900%
E.1400%
Answer: B. 278%
Step-by-step explanation:
The area of the circle formula is area = pi times r^2
Let's find the area of Circle X.
3.14 times 5^2 = 78.5
Let's find the area of Circle Y
3.14 times 3^2 = 28.26
Now take 78.5 divided by 28.26, then times 100% = 277.7% or ground up to 278%
So the answer is B. 278%
Which expression is equivalent to 2. 3 raised to the fifth power divided by 0. 9 raised to the fourth power, all raised to the third power?.
The equivalent expression is 2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power.
What analogous expressions are there?
Expressions that perform the same operations but differ in appearance are said to be equivalent.
There is the phrase;
{ (2. 3)^5/ (0. 9)^4 }^3
multiply by the denominator's inverse power.
(2. 3^5 × 0. 9^-4)^3
broaden the bracket
2.3 × 0. 9 ^5 +(-4) (-4)
{2.3 × 0. 9 ^ 1}^3
The phrase can be written as follows:
{ (2. 3)^5× 3/ (0. 9)^4× 3}
{ (2. 3)^15/ (0. 9)^4 }^12
Thus, 2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power is the equivalent formula.
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A spinner is separated into nine equal sections, each with a different color. According to theoretical probability, how many times can we expect to land on each color, if we spin one hundred and eighty times?
We are expected to land on each color 20 times in 180 spins
What is probability?Probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
probability of landing any color on any given attempt is 1/9 or 0.11, since all colors are different, the probability for each is the same.
if you multiply the probability by 180 you will find the amount of time you will expect to land on each color
Hence, 1/9 x 180 = 20times
Hence are expected to land on each color 20 times in 180 spins
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The music club is selling tickets for an upcoming performance. They are also accepting donations. The table below shows the ticket sales and donations from the past 2 weeks. In each expression, t represents the price of a ticket to the show.
The answer to this Question based on donations is 40 and 85
What is a donation?
Giving things to poor and needy people is called donating things and this word thing can contain anything from money to household things etc
Here music club has made ticket sales and donations are collected but both are different amounts for 2 weeks
hence we can add them to get total expense
On adding ticket sales and donations for 2 weeks we get 23t + 50 + 17t + 35
= 40t + 85 where t represents price for one ticket
Hence our answer is just coefficients that are 40 and 85 respetively
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a single-bay car wash with a poisson arrival rate and an exponential service time has cars arriving at an average of 8 minutes apart with an average service time of 4 minutes. what is the system utilization?
System utilization is 0.26 or 20%
What is System Utilization?
System utilization is the action of using something, i.e., making practical and effective use of it. Put simply; the term refers to the use of something or the process of using it effectively. In the supply chain industry, utilization may also refer to the percentage of available time that a machine, device, warehouse, or employee is actively is working.
We can also use the term for a fraction of the available time that a system is operating.
In a warehouse, space is essential, so warehouse space utilization measures the efficiency with which the warehouse uses its inventory storage capacity. Low values for this KPI may suggest that the warehouse is too large, inventory is being stored in improper places, demand forecasting is not accurate or that inventory replenishment processes are slow.
given that:
a single-bay car wash with a poission arrival rate and an exponential service time has cars arriving at an average of 8 minutes apart with an average service time of 4 minutes
System utilization(ρ) = λ(arrival rate)/μ(service rate)
arriving rate = 8min ⇒ λ = 4/hr
service rate = 4min ⇒ μ = 15/hr
System utilization(ρ) = λ/μ
System utilization(ρ) = 4/15 = 0.26
System utilization is 0.26 or 20%
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Ms. Armstrong is a carpenter. She keeps her tools in a cube-shaped box in her truck. Ms. Armstrong's toolbox is 15 inches long on each side. What is the volume of her toolbox?.
The volume of Ms. Armstrong's toolbox is 3,375 cm³.
Cube: A cube is a three-dimensional object with six square faces that are equal. Each of the six square faces of the cube has the same dimensions.
The total number of cubic units that a cube occupies in a three-dimensional space is its volume. A cube is a three-dimensional shape with eight vertices, twelve edges, and six faces. As a result, the space enclosed by a cube's six faces is its volume.
mathematically,
Volume = side³
because Armstrong has a 15-inch toolbox side.
Volume = 15³
Volume = 3,375
hence, Ms. Armstrong's toolbox has a volume of 3,375 cm3.
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In any solution, the part in the greatest quantity or volume is called the ___________.
The solvent is the defined as a part of the solution that is in the greater quantity, and the solute is the smaller portion of the solution.
The part broken up in a liquid to frame an answer is known as a solute. The solute fixation is a game changer in deciding if the arrangement is strong, fluid, or vaporous.
A solvent is normally a fluid that is utilized to break up a solute. A fluid breaks down different parts to produce an answer. Presently, particle creation is leaned toward by polar solvents like water yet not by nonpolar solvents like hydrocarbons. Water is a genuine illustration of a dissolvable.
The contrast among solute and dissolvable can be resolved in light of their definition, actual appearance (fundamentally a condition of issue:- strong, fluid, or gas structure), dissolvability, and limit.
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(Complete question) is:
The __________ is defined as the part of the solution that is in the greater quantity, and the __________ is the smaller portion of the solution.
country x can produce 1,000 units of food and 2,000 units of clothes. country y can produce 1,000 units of food and 1,000 units of clothes. in order to maximize trade according to the principles of comparative advantage,
In order to maximize trade according to the principles of comparative advantage, the option most suitable from the following is
country Y should produce food and import clothes from country X.
What do you mean by statistics?The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.
What are the 4 basic elements of statistics?The four components of a descriptive statistics problem are sample size, necessary variables, numerical summary tools, and conclusions.
What are the 5 main statistics?The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.
From the above explanation we get to know
the solution to the above question is B
country Y should produce food and import clothes from country X.
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c. A circular puzzle is 20 inches in diameter. All of the pieces are about the same size. You want to know about how many pieces there are in the puzzle.
Answer:
There is no exact answer to this question as it depends on the complexity of the puzzle. Generally speaking, a puzzle with a diameter of 20 inches would contain between 1000 and 2000 pieces.
Step-by-step explanation:
Anna says that the graphs of y=-3x + 7 and y = 3x - 7 are parallel lines. Do you agree?
Explain.
Answer: No
Step-by-step explanation:
Parallel lines have the same slope. However, the slopes of the lines with the given equations are -3 and 3, respectively.
Since the slopes are not the same, the lines are not parallel.
2100 dollars is placed in an account with an annual interest rate of 6%. To the nearest tenth of a year, how long will it take for the account value to reach 9400 dollars.
It will take 57.9 years for the account value to reach 9400 dollars.
What does the term "simple interest" mean?
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
The fact that
The equation for simple interest is:
A = P(1+rt)
where
The final investment value is A.
P is the initial investment's principal.
The interest rate is r.
There are t time periods.
We have a problem with this.
t = ?
P = $2100
A = $9400
r = 6% = 6/100 = 0.06
In the formula above, substitute
9400 = 2100 (1+t[0.06])
1 + 0.06t = 94/21
t = 94 - 21 / 21 * 0.06
t = 73/1.26
t = 57.9 years
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19. Use a unit multiplier to convert 965 centimeters to meters.
Answer: 965cm =9.65 meters
Step-by-step explanation:
when adding fractions with like denominators it is important for students to focus on which key idea?
the only factor that someone has to focus that unit is the same.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.A fraction in mathematics is a number that is stated as a percentage, such as 1/2 or 2/3. The bottom number indicates all of the components that make up a single unit.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
when adding fractions with like denominators it is important for students to focus on which key idea that
Units are the same.
Hence the only factor that someone has to focus that unit is the same.
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Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges aisha bought? x + y = 15. 0. 5 x + 0. 65 y = 9. 00 x = y. 0. 5 x + 0. 65 y = 9. 00 x + y = 9. 0. 5 x + 0. 65 y = 15. 00 x = y. 0. 5 x + 0. 65 y = 15. 0.
The system of equation to calculate the number of apples and oranges is given by x + y = 15 and 0.5x + 0.65y = 9 .
The number of apples is x and the number of oranges is y .
Total number of fruits bought is 15.
Hence we can write the equation for the number of fruits as:
x + y = 15
This is our first equation of the system.
Now each apple costs $ 0.5 , cost of x apples = 0.5x
Now each orange costs $0.65 , cost of y apples = 0.65y
Total cost is 9 apples.
Hence total cost can be represented by 0.5x + 0.65y = 9
Therefore the system of equations to represent the above situation is given by:
x + y = 15
0.5x + 0.65y = 9 .
A system of equations, often known as a set of simultaneous equations or an equation system, is a finite type of linear problem for which common solutions have been identified.
A system of equations can be classified similarly to a single equation. In everyday life, equation systems are utilised to model problems when the unknown values can be represented as variables.
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Jimmy eats 116 apples in 88 days each how many did jimmy eat
116x88
Answer:
10208
Step-by-step explanation:
116x88=10208
Find the standard deviation given the following data set: 3, 5, 6, 6, 9, 1
By using the formula of standard deviation, it can be calculated that
Standard deviation = 2.52
What is standard deviation?
At first it is important to know about variance.
Variance is the sum of the square of deviation from mean divided by the number of observations
Square root of variance gives standard deviation.
Here the data set is
3, 5, 6, 6, 9, 1
Mean = [tex]\frac{3 + 5 + 6 + 6 + 9 + 1}{6} = \frac{30}{6}[/tex] = 5
Variance = [tex]\frac{(3 - 5)^2 + (5 - 5)^2+(6 - 5)^2 + (6 - 5)^2 + (9 - 5)^2 + (1 - 5)^2}{6}[/tex]
= [tex]\frac{4 + 0 +1+1+16+16}{6}[/tex]
= [tex]\frac{38}{6}[/tex]
= 6.33
Standard deviation = [tex]\sqrt{6.33}[/tex]
= 2.52
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please answer!!!!!!!!!!!
Answer:
- 1/2 × 8 = -4
-1/2 × -2 = 1
- 1/2 × 6/7 = - 3/7
B. -4 + 1 - 3/7x
D. -3-3/7x
Evaluate the expression for the given value of the variables.
0.7g - 2.7h
g= 17, h =2
The value of the expression 0.7g - 2.7h at g = 17 and h = 2 is 6.5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A numerical expression 0.7g - 2.7h.
Now, The values of the expression at g = 17 and h = 2 can be obtained if we replace these numerical values of g and h.
∴ 0.7g - 2.7h.
= 0.7(17) - 2.7(2).
= 11.9 - 5.4.
= 6.5
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what needs to be known to determine the critical values for an independent-samples t test?
In order to determine the critical values for an independent-samples T-test, the following information needs to be known:
The size of the sample (n)The significance level (alpha)The degrees of freedom (df)The type of t-test being conducted (one-tailed or two-tailed)What needs to be known to determine the critical values for an independent-samples T test?The critical values for an independent-samples t test are used to determine if the differences between two samples are statistically significant. In order to calculate the critical values, the size of the sample (n), the significance level (alpha), the degrees of freedom (df), and the type of t-test (one-tailed or two-tailed) must be known. The degrees of freedom are equal to the number of observations in the sample minus
The size of the sample is the total number of observations in the two samples. The significance level is the probability of making a type-I error (rejecting the null hypothesis when it is true). Finally, the type of t-test is used to determine if the test is one-tailed (testing for a difference in one direction) or two-tailed (testing for a difference in both directions). Once all of this information is known, the critical values can be calculated to determine if the differences between the two samples are statistically significant.
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