Given that 9 beavers can build 1 dam in 5 hours, we can determine that it would take approximately 37.5 hours for 15 beavers to build 2 dams.
To determine how long it will take for 15 beavers to build 2 dams, we need to analyze the relationship between the number of beavers and the number of dams built, as well as the time it takes to build a dam.
Given information:
9 beavers can build 1 dam in 5 hours.
Let's break down the problem step by step:
Beavers per dam: From the given information, we know that it takes 9 beavers to build 1 dam. Therefore, the ratio of beavers to dams is 9:1.
Time per dam: Since 9 beavers can build 1 dam in 5 hours, we can conclude that it takes 5 hours to build 1 dam.
Beavers per hour: To determine the number of beavers working per hour, we divide the total number of beavers by the time it takes to build a dam: 9 beavers / 5 hours = 1.8 beavers per hour.
Dams per hour: Given that 1 dam is built in 5 hours, we can calculate the number of dams built per hour: 1 dam / 5 hours = 0.2 dams per hour.
Beavers per dam ratio for 15 beavers: To determine how long it will take for 15 beavers to build 2 dams, we need to adjust the beavers per dam ratio. With 15 beavers, the new ratio becomes 15 beavers / 2 dams = 7.5 beavers per dam.
Time required: Finally, we divide the beavers per dam ratio for 15 beavers (7.5 beavers per dam) by the dams per hour rate (0.2 dams per hour) to find the time required: 7.5 beavers per dam / 0.2 dams per hour = 37.5 hours.
Therefore, it would take approximately 37.5 hours for 15 beavers to build 2 dams.
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5x4x3(7-7)x334 what is the answer
Answer:
The Answer is 0
Step-by-step explanation:
5x4x3(7-7)x334
5x4x3x0x334
Anything multiplied by 0 will equal 0
Answer:
I got 0
Step-by-step explanation:
5*4*3*(7-7)*334
5*4*3*0*334
20*3*0*334
60*0*334
0*334
=0
what is 400 divided by 48.18 and round to nearest tenths?
Answer:
8.3
Step-by-step explanation:
The original answer was 8.30220008
Let's start at the end, 8 rounded up is 10, so 1, 1 is rounded to 0 so 0, 0 is rounded to 0, so 0, 0 is rounded up to 0 so 2, 2 rounded is 0 so 2, 2 rounded is to 0 so 0, 0 so rounded to 3 so 3.
Rounded up is 8.3
The remainder is what number (only type the number)
1. What is P(-2) given that P(x) = x - 3x² + 5x + 10?
Which expression is equivalent to 6x + x? 6x 2x + 7 x + 7. 7x
Answer:
7x
Step-by-step explanation:
Hope this Helps
I need help please no links!
Answer:
It will be 8 meters long.
\(l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m\)
5. Please write your own equation in y = mx + b form. (0.5 pt)
What is the slope of your line? (0.5 pt)
In this equation, the slope (m) is 2.
We have,
In the equation y = 2x + 3, the equation is in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.
The slope (m) determines the steepness or inclination of the line.
In this case, the slope is 2, which means that for every 1 unit increase in the x-coordinate, the y-coordinate will increase by 2 units.
So, the line represented by this equation is upward-sloping or ascending.
The y-intercept (b) is the value of y when x is equal to 0.
In this equation, the y-intercept is 3, which means that the line intersects the y-axis at the point (0, 3).
By knowing the slope and the y-intercept, we can easily plot points on the line and draw the line on a graph.
Now,
In this equation, the slope (m) is 2.
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Problem 2 [6 marks; 3 each] 2.1 Express the surface area of the portion of the paraboloid 2z = x2 + y2 that lies between the planes z = 1 and 2 = 2 as a double integral in polar coordinates. Do not solve the integral. 2.2 Evaluate the triple integral: p7/4 1 x cos y dz dx dy 5" SS. Problem 3 [6 marks; 3 each) 3.1 Evaluate the following integral by first reversing the order of integration. 2x SS"cos(y?) dy dx x2 Problem 2 [6 marks; 3 each) 2.1 Express the surface area of the portion of the paraboloid 2z = x2 + y2 that lies between the planes z = 1 and z = 2 as a double integral in polar coordinates. Do not solve the integral. 2.2 Evaluate the triple integral: (7/4 dz dx dy SIS xcosy Problem 3 [6 marks; 3 each] 3.1 Evaluate the following integral by first reversing the order of integration. 2x So L.*cos(y) dy dx 1: 3.2 Use spherical coordinates to evaluate the integral 19-x? V9-x2-y2 Vx2 + y2 + z2 dz dy dx z =19 - x2 - y2 CA x2 + y2 = 9 + . Problem 4 [4 marks; 2 each) Given a surface xz - yz + yz? = 2 and a point P(2,-1,1). (a) Find an equation of the tangent plane to the surface at P. (b) Find parametric equations of the normal line to the surface at P. Problem 5 [4 marks; 2 each) Given a function f(x) = x4 – 4xy + 2y2 +1. (a) Locate all critical points of f. (b) Classify critical points as relative maxima, relative minima, and/or saddle points.
The surface area of the portion of the paraboloid 2z = x^2 + y^2 that lies between the planes z = 1 and z = 2 can be expressed as a double integral in polar coordinates. The expression for the surface area is ∫∫ sqrt(1 + (∂z/∂r)^2 + (∂z/∂θ)^2) r dr dθ, where the limits of integration depend on the specific region being considered.
To express the surface area of the portion of the paraboloid 2z = x^2 + y^2 that lies between the planes z = 1 and z = 2 as a double integral in polar coordinates, we need to convert the Cartesian coordinates (x, y, z) to polar coordinates (r, θ, z).
In polar coordinates, we have:
x = r*cos(θ),
y = r*sin(θ),
z = z.
The equation of the paraboloid in polar coordinates becomes:
2z = r^2.
The upper bound of z is 2, so we have:
z = 2.
The lower bound of z is 1, so we have:
z = 1.
The surface area element dS in Cartesian coordinates can be expressed as:
dS = sqrt(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA,
where dA is the differential area element in the xy-plane.
In polar coordinates, the differential area element dA can be expressed as:
dA = r dr dθ.
Substituting the values into the surface area element formula, we have:
dS = sqrt(1 + (∂z/∂r)^2 + (∂z/∂θ)^2) r dr dθ.
The surface area of the portion of the paraboloid can then be expressed as the double integral:
∫∫ sqrt(1 + (∂z/∂r)^2 + (∂z/∂θ)^2) r dr dθ,
where the limits of integration for r, θ, and z depend on the specific region being considered.
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Can someone plz help me with this one problem plzzzzz!!!!
Answer:
the 1st graph
Step-by-step explanation:
Two expressions are shown below. x² X TIX For which value of x is the value of x is TX greater than the value of x²?
a ×=-2
b ×=0
c ×=1.5
d ×=9
Among the given options, only option (b) x = 0 satisfies the inequality 1 > x,
What is expressions?An expressiοn cοnsists οf οne οr mοre numbers οr variables alοng with οne mοre οperatiοn.
We can set up the inequality tο determine fοr which value οf x the value οf TX is greater than the value οf x²:
TX > x²
Substituting the given expressions for TX and x², we get:
x² × TX > x² × x²
Simplifying this expression, we get:
x^3 > x^4
Therefore, the inequality is true for all values of x less than 1.
we need to find the value of x for which the inequality is true. Among the given options, only option (b) x = 0 satisfies the inequality 1 > x,
So the answer is: b) ×=0
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Please Help I Will Give Brainliesttt!Select the correct answer. What was the most common rating in the 26-35 age group? Average B. Good C. Excellent D. Poon
Answer:
B. Good
Step-by-step explanation:
26-35 age group:
Excellent - 33/97
Good - 50/97
Average - 5/97
Poor - 9/97
Someone help me with this I will make you brain
Answer:
b
Step-by-step explanation:
3-1/3=2.6 and that estimates to 3.0
what is the answer ?
lvl - ez
Answer:
2
Step-by-step explanation:
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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how do you work out the profit as a percentage of the cost price?
also, could you explain how to find the best value of a price? TYSM!!
Answer:
Step-by-step explanation:
To work out the profit as a percentage of the cost price, you can use the following formula:Profit percentage = (Profit / Cost price) x 100%For example, if you bought an item for $50 and sold it for $70, the profit would be $20. To find the profit as a percentage of the cost price, you would use the formula above:Profit percentage = (20 / 50) x 100% = 40%So in this example, the profit as a percentage of the cost price is 40%.To find the best value of a price, you need to consider both the cost and the demand for the item. If the price is too high, people may not be willing to buy it, but if it's too low, you may not make enough profit. The best value is the price that maximizes your profit while still attracting enough customers to make sales.One way to determine the best value is to experiment with different prices and see how they affect sales and profits. You can start with a price that you think is reasonable and then adjust it up or down based on customer feedback and sales data. You can also research the prices of similar items sold by competitors to get an idea of what the market will bear.Ultimately, the best value will depend on factors such as the cost of production, the demand for the item, and the competitive landscape. It's important to find a price that balances all of these factors to maximize your profits and grow your business.
how many puppies were rescued 12x+3=
Answer:
36
Step-by-step explanation:
12 x 3 = 36
Question 8 If you know the correlation coefficient between two variables (X and Y), how can you determine the direction of causality? a) sources You can determine the direction of causality from the correlation being positive or negative .
b) You can determine the direction of causality by calculating how much statistical power there is .
c) You cannot determine the direction of causality from the correlation coefficient .
d) None of the above.
Question 9 Which of the following is a true statement? a) Resources Using Z scores allows you to compare scores on different measures .
b) The sum of the cross-products of Z scores gives you a small positive number if there is a positive correlation and a small negativ negative correlation .
c) Because of the nature of Z scores, the cross-products will be positive in all cases .
d) Z scores don't give a standard indication of just how high or low each score is.
Question 8: c) You cannot determine the direction of causality from the correlation coefficient.
Question 9: a) Using Z scores allows you to compare scores on different measures.
Question 8:
The correlation coefficient measures the strength and direction of the linear relationship between two variables (X and Y). However, correlation does not imply causation. Therefore, it is not possible to determine the direction of causality solely based on the correlation coefficient. Other methods, such as experimental design or causal modeling, are needed to establish causality.
Question 9:
Z scores are standardized scores that allow for the comparison of scores on different measures. By converting raw scores into Z scores, the mean is transformed to 0 and the standard deviation to 1. This normalization process enables comparisons across different measures and variable scales.
The sum of the cross-products of Z scores is used to calculate the covariance between two variables. If there is a positive correlation, the cross-products will be positive, indicating that when one variable increases, the other tends to increase as well. Similarly, a negative correlation will result in negative cross-products, indicating an inverse relationship between the variables.
Z scores provide a standard indication of how high or low each score is by expressing each score's distance from the mean in terms of standard deviations. A positive Z score indicates a score above the mean, while a negative Z score indicates a score below the mean.
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how to adding and subtracting polynomials worksheet ?
Adding and subtracting polynomials worksheets assist pupils in becoming acquainted with the idea of polynomial addition and subtraction.
Adding and subtracting polynomial worksheets provide pupils with a platform to access a variety of well-structured problems. Because these worksheets progress in complexity, they are simple to use and allow pupils to reinforce their concepts.
Children must study in accordance with their learning curve, and these worksheets are designed to allow young brains to work at their own speed. These math worksheets also address the logical and reasoning aspects of arithmetic, assisting pupils in real-life situations.
Students may have a better grasp and explore these worksheets more quickly with the aid of pictures. These worksheets' step-by-step approach helps pupils better comprehend ideas and reinforce their comprehension.
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how can I solve -7(-8+10-5) please explain
Answer:
so is actually bidmas of bodmas however you want to call it but what's in the brackets you always have to do first so what you would do is because as for subtraction comes last you 1st to -8+10 which is to then you do 2-5 which is -3 so then you do -7 times -3 which because if two minuses or times or multiplied like everyone say it would be a positive so that
It's the answer is 21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Graph each exponential function. Identify a, b, the y- intercept , and the end behavior of the graph.
The parameters of the exponential function are given as follows:
a = 3, b = 0.5, y-intercept (0, 3).
The numeric values are given as follows:
x = -2, y = 12.x = -1, y = 6.x = 0, y = 3.x = 1, y = 1.5.x = 2, y = 0.75.The end behavior is described as follows:
As x -> -∞, y -> ∞.As x -> ∞, y -> 0.The graph is plotted at the end of the answer.
What is an exponential function?An exponential function is modeled by:
\(y = ab^x\)
In which:
a is the initial value, which is also the y-intercept.b is the rate of change.For this problem, the function is given by:
\(f(x) = 3(0.5)^x\)
Hence the parameters are:
a = 3, b = 0.5, y-intercept (0, 3).
The numeric values are given by:
x = -2: \(f(-2) = 3(0.5)^{-2} = 3(2)^2 = 12\).x = -1: \(f(-1) = 3(0.5)^{-1} = 3(2)^1 = 6\).x = 0: \(f(0) = 3(0.5)^0 = 3\).x = 1: \(f(1) = 3(0.5)^1 = 1.5\).x = 2: \(f(2) = 3(0.5)^2 = 0.75\).The end behavior is the limits of f(x) as x goes to negative infinity and positive infinity, hence:
\(\lim_{x \rightarrow -\infty} f(x) = \(\lim_{x \rightarrow -\infty} 3(0.5)^x = 3(0.5)^{-\infty} = 3(2)^{\infty} = \infty\)\(\lim_{x \rightarrow \infty} f(x) = \(\lim_{x \rightarrow \infty} 3(0.5)^x = 3(0.5)^{\infty} = 0\)Hence:
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Find the area of a triangle with a =174, b =138, and c =188. round your answer to the nearest tenth, if necessary.
Answer:11486.34
Step-by-step explanation:
p is semiperimeter
p=(a+b+c)/2
p=(174+138+188)/2
For Heron equation,
S=\(\sqrt{p*(p-a)*(p-b)*p-c}\)
so, it is 11487.34
Answer:
11,486.3 square units
Step-by-step explanation:
You want the area of the triangle with side lengths a=174, b=138, c=188.
Area
The area of a triangle can be found from the lengths of the three sides using Heron's formula:
A = √(s(s -a)(s -b)(s -c)) . . . . . . . where s = (a+b+c)/2, the "semiperimeter"
CalculationThe calculation is shown in the second attachment.
s = (174 +138 +188)/2 = 500/2 = 250
A = √(250(250 -174)(250 -138)(250 -188)) = √(250(76)(112)(62))
A = √131936000 ≈ 11486.3
The area of the triangle is about 11486.3 square units.
__
Additional comment
An effectively equivalent way to find the area is to use the Law of Cosines to find an angle, then use the trig formula for the area.
C = arccos((a²+b²-c²)/(2ab)) = arccos(13976/48024) ≈ 73.080899°
Area = 1/2(ab·sin(C)) = 1/2(24012·0.9567166) ≈ 11486.3
We say this is "effectively equivalent" not only because it gives the same area, but because using the relation between cos(C) and sin(C), you can demonstrate that this formula gives Heron's formula for the area.
Find the indicated derivative. If y = x7 - x¹/2, find d²y dx2 d²y dx² Need Help? = Read It HARMATHAP12 9.8.01.
The second derivative of y = x^7 - x^(1/2) is d²y/dx² = 42x^5 + (1/4)x^(-3/2).
To find the second derivative of y = x^7 - x^(1/2), we first need to find the first derivative and then differentiate it again.
Given: y = x^7 - x^(1/2)
First, let's find the first derivative, dy/dx, using the power rule of differentiation:
dy/dx = d/dx(x^7) - d/dx(x^(1/2))
Using the power rule, we have:
dy/dx = 7x^(7-1) - (1/2)x^((1/2)-1)
Simplifying the exponents:
dy/dx = 7x^6 - (1/2)x^(-1/2)
Now, to find the second derivative, we differentiate dy/dx with respect to x:
d²y/dx² = d/dx(7x^6 - (1/2)x^(-1/2))
Differentiating each term using the power rule:
d²y/dx² = 7 * d/dx(x^6) - (1/2) * d/dx(x^(-1/2))
Applying the power rule:
d²y/dx² = 7 * 6x^(6-1) - (1/2) * (-1/2)x^((-1/2)-1)
Simplifying the exponents and coefficients:
d²y/dx² = 42x^5 + (1/4)x^(-3/2)
Therefore, the second derivative of y = x^7 - x^(1/2) is d²y/dx² = 42x^5 + (1/4)x^(-3/2).
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Create a word problem for 4 x 8 = ?
and solve it using a bar model?
Answer:
Jackie has been assigned to hand out papers to all the students in her class. Each student gets 4 pieces of paper, and there are 8 total students. How many papers total does Jackie need to get?
(I cannot show a picture of a bar model, apologies)
Identify the percent of change as an increase or decrease. 24 songs to 78 songs. Find the percent of change
Answer:
an increase of around 30.76%
Step-by-step explanation:
24 divided by 78 = .307692307....
Answer:
225%
Step-by-step explanation:
78- 24= 54
54/24=2.25
2.25x100=225
From the control tower, the angle between the two planes reads 56. The distance
from the tower to one of the planes is 22 miles and the distance from the tower to the
other plane is 26 miles.
What is the approximate distance between the two planes? Round to the nearest
whole number.
The approximate distance between the two planes is 18 miles.
What do you mean by trigonometry ?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the calculations based on them. It is used to study the properties of triangles, including the lengths of sides and the measures of angles, and to understand the relationships between angles and circular functions, such as sine, cosine, and tangent. Trigonometry is used in many fields, such as engineering, physics, and navigation, and has many practical applications, such as finding the height of a building or the distance between two points.
To find the distance between the two planes, we can use the law of cosines. The law of cosines states that in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides minus twice the product of these lengths and the cosine of the angle between them.
In this problem, we can treat the two planes as the two sides of the triangle and the distance between them as the third side. Let's call the distance between the two planes "d". Then, we have:
d² = 22² + 26² - 2(22)(26)cos(56)
Using the cosine formula and the value of cos(56) from a trigonometry table, we can simplify this expression:
d² = 22² + 26² - 2(22)(26)(0.624)
d² = 484 + 676 - (1352)(0.624)
d² = 1160 - 845.408
d² = 314.592
Taking the square root of both sides:
d = 17.7
Rounding to the nearest whole number, we get:
d = 18 miles
So, the approximate distance between the two planes is 18 miles.
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help please? thank you!!!
Omari drives a car that gets 18 miles per gallon of gasoline. The car’s gasoline tank holds 15 gallons. The distance Omari drives before refueling is a function of the number of gallons of gasoline in the tank. Identify a reasonable domain for this situation.
Laura corto un trozo de tela cuadrada para un mantel. Luego se dio cuenta de que ese trozo no alcanzava a cubrir la superficie pues, había un error de medidas. Pará arreglarlo le agrego dos prendas haciendo el el mantel ahora sea rectangular, su largo mide 50 cm mas y su ancho 3o cm más que las medidas del mantel original. Si el nuevo mantel cubre 16800 cm2 ¿cuál es la medida del lado del primer mantel y cuantos cm2 cubría?
Answer:
La medida del lado del primer mantel es 90 centímetros.
Primer mantel cubría un área de 8100 centímetros cuadrados.
Step-by-step explanation:
Sea \(x\) la longitud del lado del mantel original, cuya forma es cuadrada y está medida en centímetros. Al agregarse dos prendas, se obtiene un rectángulo, cuya área (\(A\)), medida en centímetros cuadrados, se halla mediante la siguiente fórmula:
\(A = w\cdot l\) (Eq. 1)
Donde:
\(w\) - Ancho, medido en centímetros.
\(l\) - Largo, medido en centímetros.
Si \(A = 16800\,cm^{2}\), \(l = x+50\,cm\) y \(w = x+30\,cm\), tenemos el siguiente polinomio de segundo orden:
\(16800 = (x+50)\cdot (x+30)\)
\(16800 = x^{2}+80\cdot x +1500\)
\(x^{2}+80\cdot x -15300 = 0\)
Por la fórmula de la Cuadrática tenemos que las raíces del polinomio son:
\(x_{1} = 90\,cm\), \(x_{2} = -170\,cm\).
Solamente la primera raíz es una solución físicamente razonable. Entonces, la medida del lado del primer mantel es 90 centímetros.
Ahora, el área del primer mantel es:
\(A = (90\,cm)^{2}\)
\(A = 8100\,cm^{2}\)
Primer mantel cubría un área de 8100 centímetros cuadrados.
An article reported on a school​ district's magnet school programs. Of the 1928 qualified​ applicants, 986 were​ accepted, 297 were​ waitlisted, and 645 were turned away for lack of space. Find the relative frequency for each decision made and write a sentence summarizing the results.
51.1% of the qualified applicants were accepted into the magnet school programs, 15.4% were waitlisted, and 33.5% were turned away due to a lack of space.
To find the relative frequency for each decision made by the school district's magnet school programs, we need to divide the number of applicants for each decision by the total number of qualified applicants.
Accepted applicants: 986 / 1928 = 0.511 or 51.1%
Waitlisted applicants: 297 / 1928 = 0.154 or 15.4%
Turned away applicants: 645 / 1928 = 0.335 or 33.5%
In summary, 51.1% of the qualified applicants were accepted into the magnet school programs, 15.4% were waitlisted, and 33.5% were turned away due to a lack of space.
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Jacob and Amber each buy a bag of apples. Some of the apples are rotten and some are not. Amber has the same fraction of rotlen apples in her bag as Jacob has in his bag. Jacob's bag has Amber's bag has: A total of apples • A total of 12 apples - Exactly I rotten apple Exactly rotten apple(s)How many rotten apples are in Amber's bag?
ANSWER
3 rotten apples
EXPLANATION
We know that Amber and Jacob have the same fraction of rotten apples in their bags.
Jacob's bag has 4 apples in total, of which 1 is rotten. Thus, the fraction of rotten apples he has is,
\(\frac{rotten.apples}{apples}=\frac{1}{4}\)Amber has the same fraction in her bag, but she has a total of 4 apples. If n is the number of rotten apples in Amber's bag,
\(\frac{1}{4}=\frac{n}{12}\)We have to find n so that n/12 equals 1/4.
Multiply both sides by 12,
\(\begin{gathered} \frac{1}{4}\cdot12=\frac{n}{12}\cdot12 \\ 3=n \end{gathered}\)So, Amber's bag has exactly 3 rotten apples
if i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is (a) 0.5. (c) greater than 0.5. (e) 1. (b) less than 0.5. (d) 0.
it says write the equation to represent the relationship for k=3
EXPLANATION
Given the table in the problem, we can see that this is a relationship and that the constant of proporcionality is k=3.
As we know by definition, the relationship is given by the following line expression:
y = 3x