The water is filling a swimming pool at a rate of 1000 gallons every 15 minutes. At this rate, how long will it take to fill a swimming pool that holds 9000 gallons of water?

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

Answer:

x = a³b + b²/ab + 1

Step-by-step explanation:

x = a² + b²/ab + 1

x = a² × (ab + 1) + b²/ab + 1

x = a³b + a² + b²/ab + 1

x = a³b + b²/ab + 1

Answer:

The answer is 39

Step-by-step explanation:

75 + 3 = 78

78/2 = 39

Answer:

D. 9 + 4√5

Step-by-step explanation:

What we're essentially doing here is squaring 2 + √5. (2 + √5 and 2 + 1√5 are essentially the same)

(2 + √5)(2 + √5) (I didn't put the one on the conjugate for a reason; look above)

Step 1: Apply the distributive property by multiplying each term of 2 + √5 by 2 + √5

4 + 2√5 + 2√5 + (√5)²

Step 2: Combine 2√5 and 2√5 to get 4√5.

4 + 4√5 + (√5)²

Step 3: The square of √5 is 5.

4 + 4√5 + 5

Step 4: Add 4 and 5 to get 9.

9 + 4√5 is the final answer to this question.

Answer:

mark me brainliest

Step-by-step explanation:

9 x 10 *-6

The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.

The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.

a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.

c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.

d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.

In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.

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Answer:

A

Step-by-step explanation:

The Moon actually takes 27.3 days to complete one orbit around Earth

Answer: D

Step-by-step explanation:

Most likely D because the more needs to rotate and the axis is north which the moon spins

These are the true sentences that can be constructed using the symbols:

Increasing function:

If for all x in the open interval containing x₁ and x₂ such that x₁ < x < x₂, then f(x₁) < f(x).

Decreasing function:

If for all x in the open interval containing x₁ and x₂ such that x₁ < x < x₂, then f(x₁) > f(x).

Constant function:

If for all x in the open interval containing x₁ and x₂, then f(x₁) = f(x).

These symbols can be used in constructing true sentences:

Increasing function:

x₁ < x₂ and f(x₁) < f(x₂)

x₁ < x₂ and f(x₁) ≤ f(x₂)

x₁ < x₂ and f(x) < f(x₂) for all x in the open interval containing x₁ and x₂

Decreasing function:

x₁ < x₂ and f(x₁) > f(x₂)

x₁ < x₂ and f(x₁) ≥ f(x₂)

x₁ < x₂ and f(x) > f(x₂) for all x in the open interval containing x₁ and x₂

Constant function:

f(x₁) = f(x₂)

f(x) = f(x₁) for all x in the open interval containing x₁ and x₂

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The linear equation that describes the pattern in the cost of renting a car is given by:

A linear function is modeled by:

\(y(x) = mx + b\)

In which:

In this problem:

\(c(d) = 34d + b\)

When d = 4, c = 161, and this is used to find b.

\(c(d) = 34d + b\)

\(161 = 34(4) + b\)

\(b = 25\)

Hence, the equation is c = 34d + 25, and option D is correct.

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By reversing the order of integration, the double integral ∫∫e^v dv becomes (e^b - e^a) times the length of the interval [c, d].

To evaluate the double integral ∫∫e^v dv, we can reverse the order of integration.

Let's express the integral in terms of the new variables v and u, where the limits of integration for v are a to b, and the limits of integration for u are c to d.

The reversed integral becomes ∫∫e^v dv = ∫ from c to d ∫ from a to b e^v dv du.

We can now evaluate the inner integral with respect to v first. Integrating e^v with respect to v gives us e^v as the result.

So, the reversed integral becomes ∫ from c to d [e^v] evaluated from a to b du.

Next, we evaluate the outer integral with respect to u. Substituting the limits of integration, we have ∫ from c to d [e^b - e^a] du.

Finally, we integrate e^b - e^a with respect to u over the interval from c to d, which gives us (e^b - e^a) times the length of the interval [c, d].

In summary, by reversing the order of integration, the double integral ∫∫e^v dv becomes (e^b - e^a) times the length of the interval [c, d].

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The Reflexive property of congruence can be used to prove

ΔPQR≅ΔPSR .

Given:

∠QPR≅∠SPR

∠PQR≅∠PSR

What is Reflexive property of congruence ?

In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.

We learned that the reflexive property of equality means that anything is equal to itself. The formula for this property is a = a. This property tells us that any number is equal to itself. For example, 3 is equal to 3.

PR≅PR (Reflexive property of congruence)

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.(AAS theorem)

Hence, ΔPQR≅ΔPSR.

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The expressions that equal 36 is:

E) 53 − (2. 5 × 30) − 20

Evaluated the mathematical expressions in each response to see if they equal 36.

A. (14⋅32)2−28 = (448)² - 28 = 14⁴ - 28 = 2016 - 28 = 1988, not equal to 36.

B. 23 + (58−54)2 + 122 = 23 + (4)² + 12 = 23 + 16 + 12 = 51, not equal to 36.

C. 92 − (43 + 32) + 30050 = 9² - (7 + 3) + 30050 = 81 - 10 + 30050 = 30021, not equal to 36.

D. 124 + (82 − 42) − 99 = 124 + (64 - 16) - 99 = 124 + 48 - 99 = 73, not equal to 36.

Thus, only the expressions listed in my previous answer equal 36.

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Ms. Davis drove approximately 176.54 kilometers in June.

Let's assume that Ms. Davis drove x kilometers in July. According to the given information, she drove 72.6 kilometers less in June than in July. Therefore, her distance in June can be expressed as (x - 72.6) kilometers.

The total distance she drove in June and July is 425.68 kilometers. So, we can set up the equation:

(x - 72.6) + x = 425.68

Simplifying the equation:

2x - 72.6 = 425.68

Adding 72.6 to both sides:

2x = 498.28

Dividing both sides by 2:

x = 249.14

Therefore, Ms. Davis drove approximately 249.14 kilometers in July. Since she drove 72.6 kilometers less in June, her distance in June can be calculated as:

249.14 - 72.6 = 176.54 kilometers

Therefore, Ms. Davis drove approximately 176.54 kilometers in June.

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\(ANSWER:\\0.00075\\HOPE\\IT\\HELPS!\\MARK\\BRAINLIEST\\IF\\IT\\DOES\\I\\WILL\\BE\\JOYFUL! :)\\I\\LOVE\\HELPING\\OTHERS!\)                             \(The\) \(exponent\) is negative; the number is small.

Answer:

c.    {....., -8, -7, -6}

Step-by-step explanation:

x - 9 < -15

x < -6

The value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets is {......,-8, -7, -6}

Given the inequality expression

x - 9 < -15

Add 9 to both sides

x - 9 + 9< -15 + 9

x + 0 < -15 + 9

x < -15 + 9

x < -6

Hence the value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets are {......,-8, -7, -6}

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Answer:

See attached

Step-by-step explanation:

The answer is in below picture

Answer:

>> In order <<

B, D, A, C

----------------------------------------------------------------------------------------------------------------

(x² + 15x + 65)+(2x - 5)(3x + 8) simplifies to 7x² + 16x + 25. The first blank is (B).

----------------------------------------------------------------------------------------------------------------

(4x + 1)(3x - 4)-(5x² - 10x - 12) simplifies to 7x² – 3x + 8. The second blank is (D).

----------------------------------------------------------------------------------------------------------------

(8x² + 91x + 4)+(3x +2)(x - 5) simplifies to 11x² + 6x - 6. The second blank is (A).

----------------------------------------------------------------------------------------------------------------

(6x + 1)(3x - 7) - (7x² -34x - 20) simplifies to 11x² - 5x + 13. The second blank is (C).

----------------------------------------------------------------------------------------------------------------

Good luck ·ω·

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

An alternative name for a combo is a choice. A combination is a choice made from a predetermined group of options. I won't organize anything here. They will be my choice. The number of distinct r selections or combinations from a set of n objects is indicated by the symbol \(^nC_{r}\).

There are eight participants in the focus group, including three software engineers, two nurses, one doctor, and two technicians.

So the 3 software engineers =3! ways, 2 nurses =2! ways,

doctor =1! way , 2 technicians =2! ways.

We must determine how many different configurations are possible so that no two pieces of software may coexist.

In order to prevent two software engineers from being seated next to each other, we first arrange five persons in a row with a space between them.

\(We get that in 6 places they can sit in ^6C_{3} ways\\ xi.e ^6C_3 = 20 (by formula of combination)\\ Therefore total ways are,6 X 2 X 1 X2 X 20 = 480.\)

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

Step-by-step explanation:

25 x 6/5 = 30

Answer:

answer was 3)

Step-by-step explanation:

Because function was star with 1,2,3,4,

The days Marie has used the car for parking this month is 84 days.

What are mathematical operations ?

The mathematical “operation” refers to calculating a value using operands and a math operator. The symbol of the math operator has predefined rules to be applied to the given operands or numbers

The basic arithmetic operations for real numbers are addition, subtraction, multiplication, and division.

Symbols:

Addition : (+)

Subtraction : (-)

Multiplication : (×)

Division : (÷)

In the given que ,

200 cards are provided each month.

116 cards after one month.

So, the used cards = 200 - 116

                                = 84.

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The following applies to the given triangle:acute, right, scalene.SSA and SSS do not apply to a triangle with angles measures 30°, 60°, and 90° because SSA is the ambiguous case and SSS is the congruence case which applies only to non-right triangles. ASA and SAS apply to non-right triangles only.

The angles measures of a triangle with 30°, 60°, and 90° are as follows:Explanation:Given angles measures of a triangle are 30°, 60°, and 90°.To identify the different types of the triangle and to know which of the following apply to it: Obtuse, Acute, Right, Scalene, Isosceles and SSA, ASA, SAS, sss, we use the following:We have the Pythagorean theorem:In a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.Let us apply the Pythagorean theorem to the given triangle.The hypotenuse is the side opposite the right angle (90°). So, the hypotenuse is the longest side of the triangle. Thus, hypotenuse is opposite to the largest angle of the triangle.∴ The largest angle in the given triangle is 90°.The length of the sides opposite the angles 30° and 60° are 'a' and 'b' respectively and the length of the hypotenuse is 'c'.So, from the Pythagorean theorem we have

:c² = a² + b²∴ c² = (a/2)² + (a√3/2)²= a²/4 + 3a²/4 = 4a²/4= a²a = c/2andc² = a² + b²∴ b² = c² - a²= (c/2)² + (a√3/2)²= c²/4 + 3a²/4 = 3c²/4= (√3/2)c²b = c/2 × √3

The length of the sides of the given triangle with angles 30°, 60°, and 90° are a, b and c respectively:  Therefore, the triangle is a right triangle because it has a 90° angle.The sides are in a ratio of 1 : √3 : 2. Therefore, the triangle is a scalene triangle.The angles are in the ratio of 1 : 2 : 3. Therefore, it is an acute triangle.Therefore, the following applies to the given triangle:acute, right, scalene.SSA and SSS do not apply to a triangle with angles measures 30°, 60°, and 90° because SSA is the ambiguous case and SSS is the congruence case which applies only to non-right triangles. ASA and SAS apply to non-right triangles only.

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

− ( q p 4 − 12 q p 2 + 36 q − p 2 + 6 )

Step-by-step explanation:

Answer:

15 1/2

Step-by-step explanation:

hope this helped

The dy/dx of y cos(x) = 4x² + 3y² by implicit differentiation is dy/dx = (8x - y cos(x))/(3y + 2y*cos(x)).


1. Differentiate both sides of the equation with respect to x using the product rule and chain rule.

2. For y cos(x), the derivative is -y sin(x) + cos(x) dy/dx.

3. For 4x² + 3y², the derivative is 8x + 6y dy/dx.

4. Set the derivatives equal: -y sin(x) + cos(x) dy/dx = 8x + 6y dy/dx.

5. Solve for dy/dx by moving all terms with dy/dx to one side: dy/dx (cos(x) - 6y) = 8x + y sin(x).

6. Divide by (cos(x) - 6y) to get dy/dx = (8x - y cos(x))/(3y + 2y*cos(x)).

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The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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