find the number of elements in a1 ∪a2 ∪a3 if there are 102 elements in a1, 992 elements in a2, and 9939 elements in a3 in each of the following situations:

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

that is 55/22 = 2.5 hrs

Answer: .two and a half hours.

Step-by-step explanation:

22/1 = 55/x

22x=55

X=2.5

The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.

The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.

In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.

Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.

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ANSWER:

No solution in real numbers

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for x as follows:

Since the absolute value is always positive, the equation loses its meaning since it is equal to -5, which is not possible.

Which means that there is no solution for x in the real numbers.

Answer:

y=65x      and      8455 there yall go

Step-by-step explanation:

The purpose of stories "Here at the given any rate is said the bachelor, and then collecting his belongings preparatory to leaving the carriage, then he kept them quiet for ten minutes, which was more than you were able to do."

Here we need to excerpt from the storyteller best supports the theme that the purpose of stories.

While we look the bachelor says at the end they said that he kept them quiet for ten minutes, which was more than you were able to do and then he is implying that no matter what she thought of his story and how much "better" she thought she could've done it, and then his was able to capture the attention of these kids and that is the matter of the issue because, therefore for a story and then entertaining is more important than proper form

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The density of the cube is 4.1g/cm³

The first step is to calculate the volume

Volume= area³

= 3³

= 27

The density can be calculated as follows

= mass/volume

= 110/27

= 4.1

Hence the density of the cube is 4.1gram/cm³

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Answer:

It is: (f(2) - f(0))/(2 - 0)

f(2) = 250(0.5)(2) = 250

f(0) = 250 (0.5)(0) = 0

So: (250 - 0)/(2 - 0) = 250/2 = 175

The average rate of change is 175.

Step-by-step explanation:

Answer:

Hi!

Step-by-step explanation:

So if the question doesn't say a number or amount of girls its is a variable.

So the answer is         'x'       amount of money.

or any letter

Hope this helped! <3

The function f(x) on the interval (-π/2,π/2) with f'(x) = 3+tan²x and f(0)=2 is given by the expression f(x) = 3x + tan(x) + 2.

To find f(x) on the interval (-π/2,π/2) when f'(x) = 3+tan²x and f(0)=2, we need to integrate f'(x) once to obtain f(x) and then apply the initial condition to determine the value of the constant of integration.

Integrating f'(x) = 3+tan²x with respect to x, we get:

f(x) = 3x + tan(x) + C

To solve for the constant of integration, C, we use the initial condition f(0) = 2, which gives:

f(0) = 3(0) + tan(0) + C = C + 0 = 2

Thus, C = 2 and the final solution is:

f(x) = 3x + tan(x) + 2

Therefore, the function f(x) on the interval (-π/2,π/2) with f'(x) = 3+tan²x and f(0)=2 is given by the expression f(x) = 3x + tan(x) + 2.

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Answer:

1-  3.4

2-  4.5

Step-by-step explanation:

10x-15=24

10x+5=50

Option C is the correct option for the given problem; let’s consider all options and identify the different reasons in the number list.

From the second element (index 1) through the last element, this procedure iterates through the list of numbers using a for loop. It determines whether the current number is lower than the previous number after each repetition. If it is, the process gives a prompt False response, meaning that the list is not growing.

The procedure returns True, indicating that the list is growing, if the for loop concludes without running into a number that is less than the number it encountered before.

According to the issue definition, this technique implies the list has at least two elements. This guarantees that the for loop will always have a previous number to compare to.

Comments are written in italic to explain the code

Line 1: PROCEDURE Is Increasing(numberList)//start Is Increasing procedure with a list number List

Line 2: {//start procedure

Line 3: count<-2//set count to be 2

Line 4: REPEAT UNTIL (count -> LENGTH(numberList)//repeat from element 2 to last

Line 5: {//start repeat

Line 6: IF(numberList[count] < numberList[count-1]//if previous number is greater

Line 7: {//start if

Line 8: RETURN(true)//return true as next is greater than

Line 9: }//end if

Line 10: count<- count +1//increment to next element

Line 11: }//end repeat

Line 12: RETURN (false)//return false

Line 13: }//end procedure

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Complete question is:

A list of numbers is considered increasing if each value after the first is greater than or equal to the preceding value. The following procedure is intended to return true if numberList is increasing and return false otherwise. Assume that numberList contains at least two elements. PROCEDURE isIncreasing(numberList) Tue 61 Line 1: Line 2: { Line 3: count 2 Line 4: REPEAT UNTIL(count > LENGTH(numberList)) Line 5: } IF(numberList[count] < numberList[count - 1]) Line 6: Line 7: To entd Line 8: RETURN(true) :80 onij { count count + 1 Line 9: Line 10: er onil Line 11: } Line 12: RETURN(false) BELAS(ConuE) Line 13: } Which of the following changes is needed for the program to work as intended? Lines 8 and 12 should be interchanged. c. In line 6, < should be changed to >=. a. b. Lines 10 and 11 should be interchanged. d. In line 3, 2 should be changed to 1. 3.

Answer:

m<M = 76°

m<N = 76°

LN = 18 in

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180.

triangle LMN is an isosceles triangle and the measure of M is equal to N and LM = LN.

Now the measure of missing angle:

m<M + m<N + 28 = 180 subtract 28 from both sides

m<M + m<N = 152 since the measure of M is equal to N divide 152 by 2

152 ÷ 2 = 76 each angle is 76°

Answer:

B) ₹75

Step-by-step explanation:

if so I'd do of do of zoo Wii or so

The relationship between the radius and volume of a cylinder with a height of 4 feet is nonlinear because the volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. In this case, the height is fixed at 4 feet. As we change the radius, the volume changes in a nonlinear manner.

The volume increases much faster as the radius increases. This can be seen from the exponential nature of the formula, as the radius is squared. Therefore, even a small increase in the radius results in a substantial increase in the volume, making the relationship between radius and volume nonlinear.

In contrast, if the height were to be proportional to the radius, then the relationship between radius and volume would be linear. This is because the volume would be proportional to the product of the radius and height, which is a linear relationship.

Therefore, the nonlinear relationship between radius and volume, in this case, is due to the exponential nature of the formula for the volume of a cylinder and the fixed height of 4 feet.

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--The given question is incomplete; the complete question is

"This function represents the relationship between the radius of cylinders with a height of 4 feet and their volumes. Why is this relationship between radius and volume nonlinear?"--

Answer:

x^2

Step-by-step explanation:

ax^2 + bx + c is quadratic standard form

The missing statement in Step 5 include the following: B. AC/DC = BC/EC.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the angle, angle (AA) similarity theorem, we can logically deduce the following congruent triangles:

ΔABC ≅ ΔDEC  ⇒ Step 4

By the definition of similar triangles, we can logically deduce the following proportional and corresponding side lengths:

AC/DC = BC/EC ⇒ Step 5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

(4×4×4)(3×3×3)(1×1×1) Cubic feet

The area of the composite figure is equal to 58 square inches. (Correct choice: C)

In this problem we find the case of composite figure formed by an irregular pentagon and an triangle, the resulting can be found as a combination of triangles and rectangles, whose area formulas are:

Triangle

A = 0.5 · w · l

Rectangle

A = w · l

Where:

Now we proceed to determine the area of the composite figure:

A = 0.5 · (8 in) · (6 in) + (8 in) · (6 in) - 2 · 0.5 · (1 in) · (5 in) - 2 · 0.5 · (3 in) · (3 in)

A = 24 in² + 48 in² - 5 in² - 9 in²

A = 72 in² - 14 in²

A = 58 in²

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Less than 1 is the eccentricity of an infinitely long ellipse.

The ratio of the focus's distance from the ellipse's centre and the ellipse's distance from one of its ends is called the eccentricity of an ellipse.

It is easy to understand how circular an ellipse is in relation to a circle when we assume its eccentricity. It also estimates the ovalness of the ellipse, and eccentricity close to 1 directs to the high degree of ovalness.

The eccentricity of an ellipse is always < 1, i.e. e < 1. The formula of the eccentricity of an ellipse is as follows:

Eccentricity = Distance from Focus/Distance from Directrix

Which can be written as

=> e = c/a.    

Where

e = Eccentricity of the ellipse

c = Distance of the focus from the centre of the ellipse

a = Distance of the endpoint of an ellipse from its centre

As we know, the eccentricity of an ellipse is always less than 1, So we can conclude that the eccentricity of an infinitely long ellipse is less than 1.

Therefore, less than 1 is the eccentricity of an infinitely long ellipse.

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Answer:

\( \sqrt{ {2}^{5} } \)

Step-by-step explanation:

\(\huge \bigg( {2}^{ \frac{1}{2} }. {2}^{ \frac{3}{4}} \bigg)^{2} \\ \\ \huge = {2}^{ \frac{1}{2} \times 2 }. {2}^{ \frac{3}{4} \times 2} \\ \\ \huge = 2 \times {2}^{ \frac{3}{2} } \\ \\ \huge = {2}^{ \frac{3}{2} + 1 } \\ \\ \huge = {2}^{ \frac{3 + 2}{2} } \\ \\ \huge = {2}^{ \frac{5}{2} } \\ \\ \huge = \sqrt{ {2}^{5} } \)

Answer:

Step-by-step explanation:

2,5,17,65,257.......

1^2 + 1, 2^2 + 1, 4^2 + 1, 8^2 + 1, 16^2 + 1.............

This series follow above sequences.

So next term of this series,

= 32^2 + 1

= 1024 + 1

= 1025.

Hope it's helpful to u.

Answer:

it is 6.4*5.8 brainliest?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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Answer:

Step-by-step explanation:

Use the formule V=4/3 *Pi*R^3

where R =10

so V=4/3*Pi*10^3

v= 4000Pi/3 =4188.7902

The average cost of weekly groceries exists at $124.50." The statistical measurement exists they most probably claim exists mean.

The arithmetic mean of a given data exists as the totality of all observations divided by the number of observations.

For instance, a cricketer's scores in five ODI matches exist as follows:

12, 34, 45, 50, 24.

To estimate his average score in a match, we compute the arithmetic mean of data utilizing the mean formula:

Mean = Sum of all observations/Number of observations

Median

The value of the middlemost observation, acquired after organizing the data in ascending or descending order, exists named the median of the data.

For instance, consider the data: 4, 4, 6, 3, 2. Let's organize this data in ascending order: 2, 3, 4, 4, 6. There exist 5 observations.

Therefore, median = middle value i.e. 4.

Mode

The value which occurs most often in the provided data i.e. the observation with the highest frequency exists named a mode of data.

As per the circumstances we have given the average cost of groceries.

The mean exists also the average sum of data divided by the total number of data.

Therefore, the statistical measurement exists as the mean.

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The profit per bag is approximately $2.50  and the total profit is approximately is $36 , the correct option is (c) .

In the question ,

a graph of relation of price and quantity is given .

Under the perfect competition , the profit maximization condition is where price is equal to the marginal cost

that means P = MC .

price is given as = $8 ,

Form the graph ATC = $5.5

per unit profit can be calculated using the formula ,

Per unit profit = Price - ATC

per unit profit = 8 - 5.5

= $2.5

From the graph , the quantity is Q = 14.4 (approximately)

Total profit is calculated using the formula

Total Profit = (profit per unit) × (quantity)

Total Profit = 2.5 × 14.4

= $36

Therefore , The profit per bag is approximately $2.50  and the total profit is approximately is $36 .

The given question is incomplete , the complete question is

This figure is the market for bags of coffee roaster . At a price of $8 per bag . Profit per bag is approximately is      and the total profit is       .

(a) $5.50 , $78

(b) $5.00 , $60

(c) $2.50 , $36

(d) $8.00 , $114

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The area of the interior  is  mathematically given as

\(3 \pi/8\)

This is further explained below.

Generally, the equation for the curve  is  mathematically given as

\(x^{2/3} + y^{2/3}=1\)

parametrizing of  the curve, Where

\((cos^3t)^{2/3}+(sin^3t)^{2/3}=1\)

\((cos^2t)+(sin^2t)=1\)........for 0<=t<=2pi

\(dx=-3cos^2t*(sint) dt\)

\(dy=3sin^2t cost \ dt\)

1/2* ∫(-ydx+xdy) over C

\(=1/2* \int ^{2 \pi}_0 (-sin^3t(-3cos^2t*(sint))+cos^3t(3sin^2t* cost)) dt\\\\=1/2*\int^{2\pi}_0 (3sin^4t* cos^2t+3cos^4t*sin^2t) dt\\\\=3/8*\int ^{2 \pi}_0 [sin^2(2t)]dt\)

Hence

We substitute (1-cos(4t))/2 in for sin^2(2t)dt in the equation above

\(=3/8* \int^2_0[(1-cos(4t))/2]dt\)

and hence solving further we find

Area=3/16*[2 π]

Considering that sin(8π)=0 we simplify the above equation to have

Area=(3π)/8

In conclusion, the area of the interior of the curve is

A=\(3 \pi/8\)

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