Determine the area of a rugby field with a length of 91.75 metres and a width of 55.25 metres

The graph of the piecewise-defined function will consist of two horizontal line segments.

The piecewise-defined function can be represented using a graph with two separate segments.

First, let's consider the segment where the value of y is 6 when x is less than -3. This means that for any x-value less than -3, the corresponding y-value is 6. This segment will be a horizontal line parallel to the x-axis, located at the y-coordinate of 6.

Next, let's consider the segment where the value of y is 3 when x is greater than or equal to -3 and less than or equal to 2. This means that for any x-value between -3 and 2 (inclusive), the corresponding y-value is 3. This segment will also be a horizontal line parallel to the x-axis, located at the y-coordinate of 3.

To summarize:

For x < -3, y = 6.

For -3 ≤ x ≤ 2, y = 3.

Therefore, Two horizontal line segments make up the graph of the piecewise-defined function. One segment will be located at y = 6, and the other segment will be located at y = 3. The vertical range of the graph will extend to include both y-values (6 and 3), while the horizontal range will depend on the given x-values and the interval specified.

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Raj would sell 15 mangoes at a rate of Rs 187.50 in order to achieve a profit of 25%.

To find the selling rate per 15 mangoes, we need to consider the buying price, profit percentage, and the number of mangoes.

Given:

Number of mangoes bought = 300

Buying price for 10 mangoes = Rs 100

Profit percentage = 25%

Calculate the cost price of 1 mango.

Cost price per mango = Buying price for 10 mangoes / 10

Cost price per mango = Rs 100 / 10

Cost price per mango = Rs 10

Calculate the selling price of 1 mango, including the profit.

Profit per mango = Cost price per mango * Profit percentage

Profit per mango = Rs 10 * 25/100

Profit per mango = Rs 2.50

Selling price per mango = Cost price per mango + Profit per mango

Selling price per mango = Rs 10 + Rs 2.50

Selling price per mango = Rs 12.50

Calculate the selling price for 15 mangoes.

Selling price per 15 mangoes = Selling price per mango * 15

Selling price per 15 mangoes = Rs 12.50 * 15

Selling price per 15 mangoes = Rs 187.50

Therefore, Raj would sell 15 mangoes at a rate of Rs 187.50 in order to achieve a profit of 25%.

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The equation is proved.

G[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`[/tex]

We need to prove the given equation. Solution: Using the identity [tex]`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`[/tex]

in the given equation, we get

[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-[/tex]

[tex]2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)[/tex]

[tex](2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹[/tex]

[tex]`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-[/tex]

[tex]sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹[/tex]

`[tex]2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`[/tex]

For `LHS`, using identity

[tex]`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹[/tex]

[tex]`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-[/tex]

[tex]1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.[/tex]

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Answer:

1

Step-by-step explanation:

Determine the average rate of change over [0,3]:

[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(0)}{3-0}=\frac{13-16}{3}=\frac{-3}{3}=-1[/tex]

Therefore, 1 gallon per day is being consumed (this is explained by the -1 from earlier).

Answer:

Step-by-step explanation:

In a kite, the diagonals intersect at right angles, and the longer diagonal is the perpendicular bisector of the shorter diagonal. In this case, we have BD as the longer diagonal and RA as the shorter diagonal.

Given that BD is 44 yards and RA is 20 yards, we can determine the length of AB by using the properties of a kite.

The length of AB can be found by applying the Pythagorean theorem to the right triangle formed by AB, BD, and the segment of the longer diagonal perpendicular to the shorter diagonal.

Using the Pythagorean theorem, we have:

AB^2 = BD^2 - RA^2

AB^2 = 44^2 - 20^2

AB^2 = 1936 - 400

AB^2 = 1536

Taking the square root of both sides:

AB = √1536

Simplifying the square root:

AB ≈ 39.19

Therefore, AB is approximately 39.19 yards.

Answer:

Step-by-step explanation:

easily find on chrome

Answer:

b c and d

Step-by-step explanation:

if not let me know

Answer:

B. 0

Step-by-step explanation:

The answer would be y=0, and it is not undefined. Undefined lines go up and down.

These three clues together provide a clear indication that a bodega refers to a small retail store.

The clues from the text that are most helpful for determining the meaning of "bodega" are:

1. "It was empty, except for one or two customers."

The presence of customers in the bodega indicates that it is a place where people can go to purchase items. The fact that there are only one or two customers suggests that it is a small establishment.

2. "We walked around for a bit before deciding on granola bars and bottled water."

This clue indicates that the bodega sells food items like granola bars and bottled water. This suggests that it is a convenience store or a small grocery store where one can find basic food and drink items.

3. "After we paid for our items..."

The mention of paying for items further reinforces the idea that the bodega is a retail establishment where goods are sold.

These three clues together provide a clear indication that a bodega refers to a small retail store, often found in urban areas, that sells a variety of items, including food and drinks. It is typically smaller in size compared to larger grocery stores and may offer convenience items for customers who are on the go, like Parvati and the narrator who were preparing for their trip to the concert.

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Calculating bi-weekly pay involves determining the total earnings for a two-week period. Here's the process 1. Determine the hourly rate: Start by determining the hourly rate of pay. For example, let's say the hourly rate is $15.

2. Calculate regular earnings: Determine the number of hours worked in a two-week period. Let's assume 80 hours. Multiply the hourly rate by the number of hours worked to calculate the regular earnings: $15/hour x 80 hours = $1200.

3. Calculate overtime (if applicable): If there are any overtime hours, calculate the overtime earnings separately. Typically, overtime is paid at a higher rate (e.g., 1.5 times the regular hourly rate) for hours worked beyond a certain threshold (e.g., 40 hours per week). Multiply the overtime hours by the overtime rate and add this amount to the regular earnings.

4. Deduct taxes and other withholdings: Subtract the applicable taxes and other withholdings from the total earnings. This may include federal income tax, state income tax, Social Security tax, Medicare tax, and any other deductions.

5. Determine the net pay: Subtract the deductions from the total earnings to calculate the net pay—the amount the employee takes home after taxes and withholdings.

It's important to note that bi-weekly pay may also include additional components such as bonuses, commissions, or other allowances. These should be factored into the calculations accordingly.

By following these steps, you can calculate an employee's bi-weekly pay based on their hourly rate, hours worked, and any additional components or deductions involved.

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Answer:

Expert-Verified Answer​​ the equivalent expression to 3^(x + 2) is 9*3^x, which is the last option.

Missing: 2ˣ ‎⁺

Step-by-step explanation:

hope it helps

Answer:

b. f(4) = -12

d. (f(12) - f(4))/(12 - 4) = (12 - (-12))/8 = 24/8

= 3

Answer:

the width of the compass needs to be set to equal half of the radius of the circle

Answer:

1. True

Explanation:

In geometry, a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions— length, width, and height. 

the counting number just before C5F16 is 3,072.

Answer:

3.1+2=8

2.3-4=2

Step-by-step explanation:

Answer:

(Multiply 2y-x=2 by a 3 so that the x can be canceled)

3(2y-x=2)

=6y-3x=6 (add this to 3x+y=8)

(the +3x and -3x cancel)

3x+y=8

+6y-3x=6

_______

7y=14 (divide 14÷7)

●y=2

(take 3x+y=8 and place y=2 to find x)

3x+(2)=8 (and solve for x)

3x=6

●x=2

final answer:

(2,2)

The answer is:

(x - 3)(2x + 9)

Work/explanation:

Since (x-3) appears in both terms, we move it to the first place:

(x - 3)

We need to have another term; for that other term, we take what's left, and put that as our other term.

As a result, we have:

(x - 3)(2x + 9)

Hence, this is the answer.

Answer:

Step-by-step explanation:

Joseph finished 2/5th of his work. What percentage of work did he complete?

50%

60%

20%

There are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.

1. Since repetition is not allowed, we need to determine the number of choices for each digit.

2. The first digit must be an even number. There are 2 even numbers available: 2 and 4.

3. The last digit must also be an even number. There are 2 even numbers available: 2 and 4.

4. For the second digit, any of the remaining 3 numbers can be chosen (3, 5, or 6).

5. For the third digit, any of the remaining 2 numbers can be chosen (the two numbers not used in step 4).

6. To find the total number of four-digit numbers, we multiply the number of choices for each digit: 2 (choices for the first digit) * 3 (choices for the second digit) * 2 (choices for the third digit) * 2 (choices for the last digit) = 48.

7. Therefore, there are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.

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Answer:

$98.70

Step-by-step explanation:

Number of gallons = Area of room / Coverage per gallon

Number of gallons = 980 ft^2 / 350 ft^2/gallon

Number of gallons = 2.8 gallons

Therefore, we need 2.8 gallons of paint to cover the room. The cost of one gallon of paint is given as $35.25, so the total cost of the paint needed to paint the room is:

Total cost = Number of gallons × Cost per gallon

Total cost = 2.8 gallons × $35.25/gallon

Total cost = $98.70

So, the total cost of the paint needed to paint the room is $98.70.

1) It's possible that Lia had a mean smirk because she found the situation amusing or thought it was funny to accuse someone.

2) Lia might have accused you based on the assumption that you were laughing

3) Nyla might have looked at you out of curiosity or suspicion, wanting to see your reaction to the accusation.

4) Ms. Nee might have asked you to move in an attempt to diffuse the situation or prevent any further disruptions.

Lia could have been amused by the event or thought it was hilarious to blame someone, hence her cruel smirk. Another possibility is that she made the charge because she was upset with you personally and wanted to humiliate or degrade you.

Lia could have charged you if she thought you were laughing, which she took to be an admission of guilt. Additionally, she might have been looking for someone to point the finger at and chose you as the victim of choice without any solid proof.

Nyla may have glanced your way to see how you would respond to the charge out of curiosity or suspicion. Her lack of laughter could indicate that she wasn't sure about your involvement or that she simply didn't find the situation amusing.

Everyone present may find it distracting and uncomfortable when jokes and accusations are made in the classroom. Ms. Nee might have asked you to relocate in an effort to bring back some sense of calm and concentration in the classroom.

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The true statements are:

below in bold

Work/explanation:

The statements which apply to the given scenario are the following:

The base is Three-fifths.

The expanded form is three-fifths times three-fifths times three-fifths.

The exponent is 3.

Let's take a closer look at the expression [tex]\sf{\bigg(\dfrac{3}{5}\bigg)^3}[/tex].

What is the base and what is the exponent?

Think of the expression [tex]\sf{x^n}[/tex]. Here, x is the base, and n is the exponent.

Similarly, with our exercise here, 3/5 is the base and 3 is the exponent.

[tex]\rule{350}{4}[/tex]

Now, what is the expanded form of the expression? If we have something cubed, what does it mean?

It means that this something is multiplied by itself 3 times.

So the expanded form is three-fifths times three-fifths times three-fifths.

Finally, when we raise a fraction to a power, we raise both the numerator and the denominator to that power.

When adding two rational expressions, follow these steps.

1. Determine the least common denominator (LCD) of the two expressions. This is the smallest expression that both denominators can divide into evenly.

2. Multiply each term in both expressions by the necessary factors to make the denominators equal to the LCD.

3. Simplify each numerator if possible by combining like terms.

4. Add or subtract the numerators together. The denominators remain the same.

5. Simplify the resulting expression, if necessary, by factoring and canceling common factors in the numerator and denominator.

6. If required, express the final result in its simplest form by dividing out any common factors between the numerator and denominator.

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Answer: 5/8 miles

Step-by-step explanation:

1/8+1/2 is the equation. First, you have to make the denominators equal. So, we have to turn 2 into 8. Since you multiply 2 by 4 to get 8, multiply the numerator (1) by 4 as well. This leaves you with 1/8+4/8. Now add the numerators together to get 5/8.

The value of the algebraic expression is ab+bc+ca.

An algebraic equation is a mathematical statement that contains two equated algebraic expressions formulated by applying algebraic operations such as addition, subtraction, multiplication, division, raising to a power, and extraction of a root to a set of variables

The equation A^3(b+c)/(a-b)(a-c) + b^3(c+a)/(b-c)(b-a) + a^3(a+b)/(c-a)(c-b) = ab+bc+ca

(a-b, a-c, b-c, b-a, c-a, c-b).

Simplifying each fraction, we get

(a^3b + a^3c)/(a^2 - ab - ac + b^2 - bc + c^2) + (b^3c + b^3a)/(b^2 - bc - ba + c^2 - ac + a^2) + (a^4 + a^3b)/(c^2 - ac - ab + b^2 - bc + a^2).

(a-b)(a-c), (b-c)(b-a), and (c-a)(c-b),

ab+bc+ca.

Therefore, the equation A^3(b+c)/(a-b)(a-c) + b^3(c+a)/(b-c)(b-a) + a^3(a+b)/(c-a)(c-b) = ab+bc+ca

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Answer:

Step-by-step explanation:

To find the location of the point that is of the way from A=31 to B=6, we need to find the midpoint of the segment AB.

The formula for finding the midpoint of a segment with endpoints (x₁, y₁) and (x₂, y₂) is:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, we have A = 31 and B = 6, so x₁ = 31 and x₂ = 6. Plugging these values into the formula, we get:

Midpoint = ((31 + 6) / 2, (y₁ + y₂) / 2)

Midpoint = (37/2, (y₁ + y₂) / 2)

We still need to find y₁ and y₂, which are the positions of A and B on the number line. Since the number line is one-dimensional, we can simply use their values:

y₁ = 31

y₂ = 6

Plugging these values into the formula, we get:

Midpoint = (37/2, (31 + 6) / 2)

Midpoint = (37/2, 37/2)

Therefore, the location of the point on the number line that is of the way from A=31 to B=6 is at a distance of 37/2 units from point A and also at a distance of 37/2 units from point B. So, the midpoint of AB is located at the point (37/2, 0).

However, since the question only asks for the location of the point on the number line, we only need to consider the x-coordinate of the midpoint, which is 37/2. This point is on the number line, which means that it is a real number. Therefore, the answer is option (A) 21.

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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Answer:

look at attachment

Step-by-step explanation: