Holly finds that (11m – 13n 6mn) – (10m – 7n 3mn) = m – 20n 9mn. what error did holly make?

A plumber worked 3. 5 hours for AED 1,075 in total. He added AED 200 for supplies to the customer's bill hourly rate of the plumber is AED 364.29.

How much is charged, paid, or earned for each hour worked?

Instead of paying for the things the advisers try to sell you, you pay a set or hourly charge for their time.

We must first deduct the price of the materials from the plumber's overall profits in order to get his hourly rate:

Income equals AED 1,075 plus AED 200, or AED 1,275.

After that, we may split his total income by the quantity of hours he put in:

Hourly fee is calculated as follows: AED 1,275 / 3.5 hours of work.

Hourly rate is 364.29 AED.

The plumber's hourly charge is therefore AED 364.29.

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Answer:

I believe its D

Step-by-step explanation:

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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When there is a recession, the employees will have to с learn new skills or face unemployment.

Recessions are a period of low business productivity which means that jobs would become very competitive.

An employee should therefore learn new skills that will make them more attractive in the market or they will probably end up unemployed.

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Answer:

\(\boxed {x > -1}\)

Step-by-step explanation:

Solve the following inequality:

\(-2x + 5 < 7\)

-Subtract \(5\) to both sides:

\(-2x + 5 - 5 < 7 - 5\)

\(-2x < 2\)

-When you are dividing an integer by a negative integer, the inequality sign changes. So, you divide both sides by \(-2\):

\(\frac{-2x}{-2} < \frac{2}{-2}\)

\(\boxed {x > -1}\)

Answer:

100pi

Step-by-step explanation:

4*pi*5^2

=100pi

Answer:

100π

Step-by-step explanation:

SA = 4π(5²) = 25 · 4π or 100π

Answer:

3

Step-by-step explanation:

The rate of change between two points a and b(a<b) for a fynction f is given by the formula:

so our rate of change is

answer

a,c,e

i got 100% on this quiz

The solutions to the equation x³ = 36, x² = 42, x³ = 55 are:

x = ∛36

x = √42

x = ∛55

Option B, D, and F are the correct answers

Given,

Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55

Select three that apply.

A. x = √36

B. x = √42

C. = √55

D. = ∛36

E. = ∛42

F. = ∛55

- Square root of a is written as √a.

- Cube root of a is written as ∛a.

We have,

- x³ = 36

Cube root on both sides

∛x³ = ∛36

x = ∛36

- x² = 42

Squaring on both sides

√x² = √42

x = √42

- x³ = 55

Cube root on both sides

∛x³ = ∛55

x = ∛55

We see that,

x = ∛36

x = √42

x = ∛55

Thus the solutions to the equation x³ = 36, x² = 42, x³ = 55 are:

x = ∛36

x = √42

x = ∛55

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The complete question is:

Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55

Select three that apply.

A. x = √36

B. x = √42

C. = √55

D. = ∛36

E. = ∛42

F. = ∛55

Answer:

,yes thats correct, have a nice day

Step-by-step explanation:

The base of the ladder must be placed 3 ft from the base of the building. The total length of the ladder is 15 ft.

1. The ladder must reach 12 ft up the wall, so we need to calculate the distance from the base of the building to 12 ft.

2. The total length of the ladder is 15 ft.

3. Subtract the length of the ladder (15 ft) fromthe desired height (12 ft) to get the distance from the base of the building.

4. 12 ft - 15 ft = -3 ft

5. Since the distance cannot be negative, the base of the ladder must be placed 3 ft away from the base of the building.

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Answer:

see explanation

Step-by-step explanation:

the error is in the line x + 1 = 3 , that is

2(x + 1)² + 3 = 21 ( subtract 3 from both sides )

2(x + 1)² = 18 ( divide both sides by 2 )

(x + 1)² = 9 ( take square root of both sides )

x + 1 = ± \(\sqrt{9}\) = ± 3 ← note ±

subtract 1 from both sides

x = - 1 ± 3

Then

x = - 1 - 3 = - 4 , or

x = - 1 + 3 = 2

That is a quadratic equation has 2 solutions

Given:

W for win

L for lose

The sample space is given by:

WWW

WWL

WLW

WLL

LWW

LWL

LLW

LLL

Therefore, there is 8 possible sample space of the results.

Answer: 8 possible sample space of the results

The roots of the function f ( x ) are x = 1 and x = 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁴ - 13x³ + 38x² - 23x - 3

On simplifying , we get

The possible factors of the constant term (-3) are ±1 and ±3, while the possible factors of the leading coefficient (1) are ±1.

Now, we can test these factors by substituting them into the function and checking if the result is zero:

f(1) = (1)⁴ - 13(1)³ + 38(1)² - 23(1) - 3 = 1 - 13 + 38 - 23 - 3 = 0

f(-1) = (-1)⁴ - 13(-1)³ + 38(-1)² - 23(-1) - 3 = 1 + 13 + 38 + 23 - 3 = 72

f(3) = (3)⁴ - 13(3)³ + 38(3)² - 23(3) - 3 = 81 - 351 + 342 - 69 - 3 = 0

f(-3) = (-3)⁴ - 13(-3)³ + 38(-3)² - 23(-3) - 3 = 81 + 351 + 342 + 69 - 3 = 840

From the above calculations, we can see that f(1) = f(3) = 0. This means that x = 1 and x = 3 are roots of the polynomial function

Hence , the function is solved and x = 1 and x = 3

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The word "statistics" can be rearranged to form a total of 2520 different words. To find the number of different words that can be composed by rearranging the letters of the word "statistics," we can use the concept of permutations.

The word "statistics" consists of 10 letters, and when these letters are shuffled randomly, we need to determine how many unique arrangements are possible.

To calculate this, we can use the formula for permutations of a set with repeated elements. In this case, the letter 's' appears three times, the letter 't' appears three times, and the letter 'i' appears twice. The formula for permutations with repeated elements is given by n!/n1!n2!...nk!, where n is the total number of elements and n1, n2,..., nk represent the number of times each element is repeated.

Using this formula, we find that the number of different words that can be composed from the letters of "statistics" is 10!/(3!3!2!) = 2520. Therefore, there are 2520 distinct words that can be formed by rearranging the letters of "statistics."

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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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To say "the ball picked up the same amount of speed in each successive time interval" means that the ball's speed increased by an equal amount during each subsequent time period.

When we say that the ball picked up the same amount of speed in each successive time interval, it means that the ball's velocity increased by a consistent value during each subsequent period of time. In other words, the ball experienced the same acceleration in each interval.

For example, let's say we observe the ball's speed at regular intervals of time, such as every second. If the ball's speed increases by 5 meters per second (m/s) in the first second, it would then increase by an additional 5 m/s in the second second, and so on. This demonstrates that the ball is gaining the same amount of speed with each passing interval.

This statement implies a constant or uniform acceleration. In such a scenario, the ball's velocity would increase linearly with time. It is important to note that this assumption may not always hold true in real-world situations, as various factors like friction or external forces can influence the ball's acceleration.

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Answer:

-21

Step-by-step explanation:

When x=1,

y= 2* 1^3 - 23 = 2*1 - 23 = 2-23 = -21

Answer:

y=-21

Step-by-step explanation:

Solve for  y  by simplifying both sides of the equation, then isolating the variable.

2x^3-23= y

2(1)^3-23=y

2-23=-21

y=-21

Answer:

6×10^5=600000

6×10^1=60

600000/60=10000

At x = 1, the coordinates are (1, 4)

They represent the proportionality of 1 teaspoon of cumin and 4 teaspoons of chili powder.

The graph is proportional because as x increases, y al

The point (3, 2) is feasible for the constraint 2x1 + 6x2 ≤ 30. (False)

To determine if a point is feasible for a constraint, we need to substitute the values of the point into the constraint equation and check if the resulting inequality holds true.

In this case, the constraint is 2x1 + 6x2 ≤ 30. Substituting x1 = 3 and x2 = 2 into the equation, we get 2(3) + 6(2) = 6 + 12 = 18. Since 18 is not less than or equal to 30, the inequality is not satisfied.

Therefore, the point (3, 2) is not feasible for the given constraint. Feasible points satisfy the constraint, while infeasible points do not. In this case, any point that lies below the line represented by the constraint equation would be feasible, while points above the line would be infeasible.

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Answer:

214 ºF is the lowest temperature

Step-by-step explanation:

Temperature range of six degrees above or below 220°F:

This means that it should be brewed properfly between

220 - 6 = 214 ºF

and

220 + 6 = 226 ºF

214 ºF is the lowest temperature

226 ºF is the highest temperature.

The diver has to travel approximately 69.28 meters to reach the wreckage of the ship.

The problem involves finding the horizontal distance that a diver has to cover to reach the wreckage of a ship after a rescue boat detects the signal at an angle of depression of 30°. The diver descends 40 meters to the seafloor.

The concept of trigonometry is useful in solving the problem. Here are the steps to solve the problem:

Step 1: Draw a diagram that represents the problem.

Step 2: Let the horizontal distance that the diver has to travel be "d".

Step 3: Let the angle of depression be "θ". From the diagram, we can see that tan θ = d / 40m.

Step 4: Substitute the value of θ and solve for "d".tan 30° = d / 40m1 / √3 = d / 40m√3d = 40m√3d ≈ 69.28 meters

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Answer:2x + 4

Step-by-step explanation:

if you divide two linear binomials, you will get a quotient that is a monomial with a remainder.  Use long division.

               2/3

            ___________

(3x - 7) |  2x + 4

              2x - (14/3)

             ___________

                    (14/3) + 4

Quotient is  2/3

Remainder =  (14/3) + (12/3) = 26/3

To check, we multiply the quotient by the divisor, then add the remainder to the result.

(2/3)(3x - 7) + (26/3) =

2x - (14/3) + (26/3) =

2x + (12/3) =

Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

The integer has a greater value is -2

An integer is a whole number (rather than a fraction) that can be positive, negative, or zero. Positive numbers, negative numbers, and zero are all examples of integers. 'Integers include both whole and negative numbers. This means that if we add negative numbers to whole numbers, we get a set of integers.

An integer is a number that has no decimal or fractional part and can be negative or positive, including zero. In this case, the numbers are -5 and -2. It should be noted that -2 is more than -5.

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Answer:

x = 15

Step-by-step explanation:

\(4 + \frac{x}{3} = 9\)

\( \frac{x}{3} = 5\)

\(x = 15\)

Answer:

=15

Step-by-step explanation:

4+x/3=9

or , (3×4+x)/3=9

or, (12+x)/3=9

or, [(12+x)/3] ×3 =9×3

or x+12=27

or, x+12-12=27-12

so that , x = 15

The triangle that is similar to the triangle ΔABC is the triangle ΔJKL, the correct option is therefore;

B. ΔJKL, in which m∠J = 15° and m∠L = 45°

Triangles are similar if they have the same measure of two of their interior angles, and therefore, have the same shape, but they may have different size.

The specified known angles of the triangle indicates that the known angles are;

m∠A = 15°, m∠B = 120°

Therefore, the third angle of the triangle is; 180 - (15 + 120) = 45

The third angle of the is 45 degrees

Therefore, the triangle that is similar to the specified triangle has an angle interior angle of either; 15°, or 120°, or 45°

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Answer:

A

Step-by-step explanation:

2021 EDG

Answer:

A) 43.5

Step-by-step explanation: