Answer: not rational
Step-by-step explanation:
It's not rational because it has no pattern and probably goes on forever
Irrational means goes on forever without pattern. Ex. \(\pi\) or √7
evaluate the iterated integral by changing to cylindrical coordinates. 2 −2 4 −4 √16 − x2 (x2 y2)3/2 dy dx dz −√16 − x2
The iterated integral by changing to cylindrical coordinates 2 −2 4 −4 √16 − x2 (x2 y2)3/2 dy dx dz −√16 − x2 is 128π.
To evaluate the iterated integral using cylindrical coordinates, first, we need to change the given rectangular coordinates (x, y, z) to cylindrical coordinates (ρ, φ, z). In cylindrical coordinates, x = ρcosφ, y = ρsinφ, and z = z. The Jacobian for the transformation is |J| = ρ. The given integral can be rewritten as:
∫(φ=0 to 2π) ∫(ρ=0 to 4) ∫(z=-√16-ρ² to √16-ρ²) (ρ²)³/2 * ρ dz dρ dφ
Now, we can evaluate the integral step by step:
1. Integrate with respect to z:
∫(φ=0 to 2π) ∫(ρ=0 to 4) [(z * ρ³) | (z = -√16-ρ²) to (z = √16-ρ²)] dρ dφ
2. Integrate with respect to ρ:
∫(φ=0 to 2π) [(1/4 * ρ⁴) | (ρ = 0) to (ρ = 4)] dφ
3. Integrate with respect to φ:
[(1/4 * 4⁴) * (φ | φ=0 to 2π)] = (256/4) * 2π = 128π
So the value of the iterated integral in cylindrical coordinates is 128π.
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Pls help me this was due a long time ago ❤️
Answer:
its the last one
Step-by-step explanation:
Answer:
2017 - 2019
Step-by-step explanation:
because 2019 is the largest and 2017 is the largest one from the top of the weight list
I dont know is this right
I need help with this question. PLEASE.
Use composites to approximate the shape of the curved sides of the pool
Estimating the area of the swimming pool.From the question, we have the following statement that can be used in our computation:
Shape of swimming pool = composite figure
Curved side = Not a semicircle.
To do this, we simply break the composite figures into smaller figures whose areas can be calculated
After then, we add the areas of the individual shapes
This method of calculation is referred to as the areas by composite figures i.e. approximation method
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What is the mean of the data set?
{29, 40, 46, 6, 29, 6}
Question 1 options:
A. 40
B. 26
C. 156
D. 29
Answer:
The answer is 26. Add them all together then divide by the amount of numbers.
Step-by-step explanation:
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.
A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.
9514 1404 393
Answer:
C: 2 and 3 only.
Step-by-step explanation:
We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).
The product of two odd numbers is odd, so (2) is one of the true statements.
__
Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.
Only statements (2) and (3) are true.
Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries can they pick in 1 minute?
Answer:
they can pick 27 berry's
Step-by-step explanation:
I think-
They can pick 1.29 liters of berries in 1 minute working together.
--------------------------------------------
The together rate is the sum of each separate rate. In this question:
We want to find the together rate.Jack's rate is \(\frac{3}{8}\)Jill's rate is \(\frac{4}{10}\)--------------------------------------------
Together, they can pick x liters, and the rate is: \(\frac{1}{x}\)
Then
\(\frac{1}{x} = \frac{3}{8} + \frac{4}{10}\)
\(\frac{1}{x} = \frac{15 + 16}{40}\)
\(\frac{1}{x} = \frac{31}{40}\)
Applying cross multiplication:
\(31x = 40\)
\(x = \frac{40}{31}\)
\(x = 1.29\)
They can pick 1.29 liters of berries in 1 minute working together.
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Your car measures 16 3/4 ft. long, and the model of your car
measures 3 1/4 in. long. What is the scale factor of the model
car?
The scale factor of the model car is 1:61.23.
To determine the scale factor, we need to compare the length of the actual car to the length of the model car. The length of the actual car is given as 16 3/4 feet, which can be converted to inches as (16 x 12) + 3 = 195 inches. The length of the model car is given as 3 1/4 inches.
To find the scale factor, we divide the length of the actual car by the length of the model car: 195 inches ÷ 3.25 inches = 60. In the scale factor notation, the first number represents the actual car, and the second number represents the model car. Therefore, the scale factor of the model car is 1:61.23.
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I need some help with this
Answer:
2/3
Step-by-step explanation:
Write the equation in point-slope form of a line that passes through the point (-13,71) and has the slope of m = -11 / 17
Answer:
y - 71 = -11/17 (x +13)
Step-by-step explanation:
The formula for point slope form is: y - y1 = m (x - x1). You plug in the x and y coordinate into x1 and y1 of the equation, and plug in the slope for m.
The National Council of Teachers of Mathematics states that all five math standards are important in the early childhood years. However, they state that an emphasis needs to be placed on which of the following standards?
The emphasis is on the Counting and Cardinality standard in the early childhood years according to the National Council of Teachers of Mathematics.
The National Council of Teachers of Mathematics emphasizes the following standards in the early childhood years:
- Counting and Cardinality
- Operations and Algebraic Thinking
- Number and Operations in Base Ten
- Measurement and Data
- Geometry
The National Council of Teachers of Mathematics recognizes that all five math standards are important in the early childhood years. However, they place a particular emphasis on the standards related to counting and cardinality. This includes developing skills in counting, understanding numbers, and recognizing numerical relationships.
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The double number lines show the ratio of feet to miles.A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.How many feet are in 333 miles
There are 1,757,440 feet in 333 miles based on the given double number line.
To determine how many feet are in 333 miles based on the given double number line, we need to find the corresponding point on the "Feet" line that corresponds to 333 miles on the "Miles" line.
From the information provided, we can see that the tick marks on the "Miles" line are evenly spaced. Since there are two tick marks between 0 and 2 miles, each tick mark represents a distance of 2/2 = 1 mile.
Similarly, on the "Feet" line, there are two tick marks between 0 and 10,560 feet. Therefore, each tick mark represents a distance of 10,560/2 = 5,280 feet.
To find the number of feet in 333 miles, we can use the ratio between miles and feet. Since each tick mark on the "Miles" line represents 1 mile and each tick mark on the "Feet" line represents 5,280 feet, we can set up a proportion:
1 mile / 5,280 feet = 333 miles / x feet
Simplifying the proportion, we get:
1/5280 = 333/x
Cross-multiplying, we have:
x = 333 * 5280
Calculating the product, we find:
x = 1,757,440 feet
Therefore, there are 1,757,440 feet in 333 miles based on the given double number line.
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solving a proportion of the form x/a = b/c
To solve a proportion like x/a = b/c, you need to find the value of x that makes the two ratios equal. You can do this by cross-multiplying, which involves multiplying the numerator of one ratio by the denominator of the other ratio, and vice versa. We start by multiplying both sides by ac, giving us x = (ab)/c.
In summary, to solve a proportion of this form in just three steps, we multiply both sides by the product of the denominators, then simplify the resulting expression to get the value of x. To solve a proportion like x/a = b/c, you need to find the value of x that makes the two ratios equal. You can do this by cross-multiplying, which involves multiplying the numerator of one ratio by the denominator of the other ratio, and vice versa.
Following the cross-multiplying method, you multiply the two numbers that are diagonally opposite each other, then do the same for the remaining two numbers. In this case, multiply 'a' by 'c' and 'x' by 'b'. This results in the equation: x * b = a * c. To find the value of x, divide both sides of the equation by 'b'. This will give you the final equation: x = (a * c) / b. By plugging in the values for a, b, and c, you can easily solve for x and find the value that satisfies the proportion x/a = b/c.
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Ordered pairs of -3x + y < 11
The order pair will be greater than (-2,5) because when substituted the value (-2,5) will give 11 that will be false.
What is ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers. Two variables are frequently represented by ordered pairs. (x, y) = (7, - 2) means that x = 7 and y = -2. The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.
Here,
The given inequality,
-3x+y<11
at (0,0)
0<11
it is true.
at (1,1)
-3+1<11
-2<11
it is true.
Because 11 will be false when the value (-2,5) is substituted, the order pair will be greater than (-2,5).
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evaluate the integral. (use c for the constant of integration.) e4θ sin(5θ) dθ
The value of the integral is \(-(16/41) e^{(4\theta) }cos(5\theta) + c\)
How to evaluate the integral ∫\(e^{(4\theta)}\) sin(5θ) dθ?To evaluate the integral ∫ \(e^{(4\theta)}\) sin(5θ) dθ, we can use integration by parts.
Let's assign u = sin(5θ) and dv = \(e^{(4\theta)}\) dθ.
Differentiating u with respect to θ, we have du = 5 cos(5θ) dθ.
Integrating dv with respect to θ, we have v = (1/4) \(e^{(4\theta)}\).
Now, we can use the integration by parts formula:
∫ u dv = uv - ∫ v du
Applying the formula, we have:
∫ \(e^{(4\theta)}\) sin(5θ) dθ = - (1/4) \(e^{(4\theta)}\) cos(5θ) - ∫ (1/4) \(e^{(4\theta)}\) (5 cos(5θ)) dθ
Simplifying further:
∫\(e^{(4\theta)}\) sin(5θ) dθ = - (1/4) \(e^{(4\theta)}\)cos(5θ) - (5/4) ∫\(e^{(4\theta)}\) cos(5θ) dθ
Now, we have a new integral to evaluate: ∫\(e^{(4\theta)}\)cos(5θ) dθ.
Using integration by parts again with u = cos(5θ) and dv = \(e^{(4\theta)}\)dθ, we obtain:
du = -5 sin(5θ) dθ
v = (1/4) \(e^{(4\theta)}\)
Applying the integration by parts formula:
∫ \(e^{(4\theta)}\)cos(5θ) dθ = (1/4) \(e^{(4\theta)}\)cos(5θ) - (5/4) ∫\(e^{(4\theta)}\) sin(5θ) dθ
Substituting this back into the previous equation, we have:
∫\(e^{(4\theta)}\)sin(5θ) dθ = - (1/4)\(e^{(4\theta)}\) cos(5θ) - (5/4) [(1/4) \(e^{(4\theta)}\) cos(5θ) - (5/4) ∫ \(e^{(4\theta)}\)sin(5θ) dθ]
Now, let's solve for the remaining integral:
(1 + (25/16)) ∫\(e^{(4\theta)}\)sin(5θ) dθ = - (1/4)\(e^{(4\theta)}\) cos(5θ)
Simplifying:
(41/16) ∫ \(e^{(4\theta)}\) sin(5θ) dθ = - (1/4) \(e^{(4\theta)}\)cos(5θ)
Finally, dividing both sides by (41/16), we get:
∫\(e^{(4\theta)}\)sin(5θ) dθ = - (16/41)\(e^{(4\theta)}\) cos(5θ) + c
Therefore, the value of the integral ∫\(e^{(4\theta)}\)sin(5θ) dθ is -(16/41) \(e^{(4\theta)}\) cos(5θ) + c, where c is the constant of integration.
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Find the volume of a right circular cone that has a height of 6.7 in and a base with a diameter of 8.8 in. Round your answer to the nearest tenth of a cubic inch.
The required volume of the right circular cone is 135.83409in³.
What is the right circular cone?A right circular cone is one whose axis is the line between the vertex and the circular base's midway.
In other words, a right angle is formed when the center point of the circular base and the cone's peak are united.
So, the right circular cone volume formula:
V=1/3hπr²
Diameter = 8.8 in
Radius = 8.8/2 = 4.4 in
Now, calculate the volume as follows:
V = 1/3hπr²
V = 1/3(6.7)π(4.4)²
V = 135.83409 in³
Therefore, the required volume of the right circular cone is 135.83409in³.
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I’ll mark you brainlist I’ll mark you brainlist
Answer:
453 have a nice night
Step-by-step explanation:
Answer:
453 is not a multiple of 100..
Step-by-step explanation:
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
Help I will Give brainliest if you are correct!!!
Answer:
11
Step-by-step explanation:
Answer:
X=1 Hope this helps you :) please brainliest
Step-by-step explanation:
Four complex numbers form the vertices of a square in the complex plane. Three of the numbers are $-19 32i,$ $-5 12i,$ and $-22 15i$. What is the fourth number
If the three numbers of a square in the complex plane are \(-19+32i,-5+12i and -22+15i\) , then the fourth complex number \(-2+19i\).
Given \(-19+32i,-5+12i and -22+15i\) are three numbers.
Complex numbers are those numbers which extends the real numbers with an imaginary i. In this \(i^{2}=-1\). Major complex numbers are in the form a+ bi where a and b are real numbers.
let the fourth complex numbers be \(x+yi\). Then according to question;
=\((-22+15i)-(-5+12i)\)
=(cos π/2+i sin π/2) \((x+yi)-(-5+12i)\)
\(-17+3i=-y+12\)\(+(x+5)i\)
Now solving for x and y by equating both sides.
x=-2 and y=29
Put the value of x and y in \(x+yi\)
Z=-2+29i
Hence if the three numbers which forms vertices of a square are \(-19+32i,-5+12i,-22+25i\) then the fourth complex numbers be \(-2+29i\).
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Here are the ingredients for making fish pie for 6 people.
Fish pie for 6 people
180 g flour
240 g fish
80 g butter
4 eggs
180 ml milk
Jill makes a fish pie for 3 people. Work out how much flour she needs.
Step-by-step explanation:
Given
6 people = 180g flour
1 person = 180/6 = 30g flour
3 people = 3 x 30 = 90g flour
with the aid of series, show that the function f defined by means of the equations f (z) = { sin z/z, if z 6= 0 1, if z = 0 is entire. use that result to establish the limit limz→0 sin z z = 1.
Answer:
Step-by-step explanation:
To show that f is entire, we need to show that it is differentiable everywhere in the complex plane. For z = 0, we have f(z) = 1, which is clearly differentiable with derivative 0.
For z ≠ 0, we can use the power series expansion of sin z and write
sin z = z − z^3/3! + z^5/5! − z^7/7! + …
Dividing by z and taking the limit as z → 0, we get
limz→0 sin z/z = limz→0 (1 − z^2/3! + z^4/5! − z^6/7! + …) = 1
since all the terms in the parentheses approach 1 as z → 0.
Therefore, we have shown that f is differentiable everywhere in the complex plane, and hence is an entire function.
expand (x-4)^4 with binomial theorem or pascal's triangle
Answer:
(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴
=x⁴-16x³+96x²-256x+256
Find the center and Radius of the circle x²+y²+10x-18y+70=0
La matemática financiera experimentó grandes avances con la creación de la banca y los negocios creados por los emprendedores. Este tipo de matemática se puede encontrar en las transacciones que realizan los concesionarios de carros, como en el siguiente caso: el costo anual (C de operación) de un automóvil nuevo es C= f + cm; f es el costo fijo (depreciación, seguros, impuestos), c es el costo de operación por kilómetro y m es el número de kilómetros recorridos. El costo total por 15000 Km es de 3000 USD, y el costo por 20000 Km es 3500 USD. Encuentra el costo fijo y el costo por kilómetro.
2. Resuelve aplicando sistemas de ecuaciones 2x2.
Answer:
c = \(\frac{1}{10}\)
f= 1500
Step-by-step explanation:
Tenemos la siguiente ecuación
\( C = f+cm\)
Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones
\( 3000=f+c15000, 3500=f+c20000\)
Si restamos la segunda ecuación de la primera, tenemos que
\( 3500-3000 = f-f+(20000c-15000c)\)
Luego
\( 500 = 5000c\)
Entonces \( c = \frac{500}{5000} = \frac{1}{10}\)
Si tomamos la primera ecuación, tenemos que \(3000-\frac{15000}{10} = f\). Es decir,
\( 3000-1500 = f = 1500\)
Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.
You start a savings account and on the first week you deposit $2. Every
week you add $1 more to the account then the week before. So on the
second week you add $3, on the third week $4. On which week would the
account be worth $560?
Answer:
558 weeks
Step-by-step explanation:
let x = number of weeks
this equation can be derived from the question
2 + 1x = 560
collect like terms
x = 560 - 2
x = 558
A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows:
F(x) =
0 x < 0
0.06 0 ≤ x < 1
0.16 1 ≤ x < 2
0.33 2 ≤ x < 3
0.69 3 ≤ x < 4
0.92 4 ≤ x < 5
0.99 5 ≤ x < 6
1 6 ≤ x
Calculate the following probabilities directly from the cdf
(a) p(2), that is, P(X = 2) (b) P(X > 3) (c)P(2 ≤ X ≤ 5) (d)P(2 < X < 5)
(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x
The probability mass function p(x) can be derived from the cdf by taking differences:
p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06 x = 10.1 x = 20.17 x = 30.36 x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)
The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.
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Two quantities, x and y, are directly proportional. If x is doubled, what happens to y? clear check it is multiplied by 4. It is multiplied by 12. It depends on the starting value of x. It is doubled.
The two quantities x and y, are directly proportional. If x is doubled, then value of y will also be doubled.
Define the term directly proportional?If two quantities become directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage.
The relationship between two values where their ratio equals a constant number is known as a direct proportion and direct variation. It is symbolized by the proportional sign (∝). Since the other variable is reversed in this case, the inversely proportional relationship is really represented by the same symbol.For the given situation;
x and y are in the direct proportional relation.
Thus,
x ∝ y
Thus,
x = k y
k = proportionality constant.
Thus,
multiplying both side by 2
2 x = 2 k y
Y also becomes twice .
If x is multiplied by 4 then,
4 x = 4 k y
y also get 4 times.
Thus, if x is doubled, then value of y will also be doubled and if x get 4 timed y also become 4 times.
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how many ways can marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once?
There are 680 ways can Marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once.
We have to given that;
Marie choose 3 pizza toppings from a menu of 17 toppings.
Hence, To find ways can Marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once,
We can formulate;
⇒ ¹⁷C₃
⇒ 17! / 3! 14!
⇒ 17 × 16 × 15 / 6
⇒ 680
Thus, There are 680 ways can Marie choose 3 pizza toppings from a menu of 17 toppings if each topping can only be chosen once.
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on a necklace two-thirds of the bees are blue of the blue beads 1/4 or oval shaped what fraction of the necklace is made up of blue ovals
on a necklace two-thirds of the bees are blue of the blue beads 1/4 or oval shaped what fraction of the necklace is made up of blue ovals
we have that
2/3 ------> blue
1/4(2/3)=2/12-1/6
answer is 1/6
Joel has a goal to practice is clarinet for 4 1/2 hours per week the list below shows the number of hours Chihuahuas practice so far this week Monday 1 1/2 hours Wednesday 11
Complete question:
Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal
Answer: 3/4 hours
Step-by-step explanation:
Target hours = 4 1/2 hours = 9/2 hours
Number of hours so far :
(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours
Total so far :
L. C. M of denominator = 4
(6 + 5 + 4) /4 = 15/4
Number of hours left to meet his target equals :
Target hours - total so far
( 9/2 - 15/4)
L. C. M of denominator = 4
(18 - 15) / 4 = 3/4 hours
.