You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.

2x+2 yards
2x yards
2x+4 yards

1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)

Answer:

C. the number f books read and the size of someone's vocabulary

Step-by-step explanation:

causation is the action of causing something, thats the only one that makes sense lol

⇒Let that number unknown number be represented by letter x.

⇒ Mathematically this can be written as

⇒\(x^{2} =13x-22\\\)

Note that this can help you find the unknown value by solving for x

\(x^{2} -13x+22=0\\\\(x-11)(x-2)=0\\x-11=0\\or \\x-2=0\\\\x=11\\\\or\\x=2\)

Note there are two solutions for this question. the answer is 11 and 2

GOODLUCK!!

The Question is based on concept of Simplification and answer to this question is -19√2

What is Simplification?

Simplification is the process of making a task, problem, or system easier to understand and manage. It involves breaking down a concept or problem into simpler parts in order to better understand the whole. Simplification can help streamline a process, making it more efficient and easier to complete. It can also help to make complex topics more accessible to a wider audience. Simplification can also be used to make a difficult problem more manageable, allowing for easier solutions.

Here we are given question 2√2 - 7√8 we can do some simplifications like:
but we know we can write √8 = 3√2
hence putting back in original eqn
2√2 - 7(3√2)
2√2 - 21√2
-19√2
Hence required answer is -19√2 by simplification

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The expression is equivalent to option A, 8x\(\sqrt[6]{x}\).

Option A is correct

Variables, constants, and mathematical operators make up an expression, which is a mathematical statement.

Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence. It is said that two expressions are equivalent if every phrase in them is the same.

The expression is 2\(\sqrt[3]{x^2}\)

The expression can be simplified as

= 2.4\(x^{2/3}\)\(x^{1/2}\)

= 8\(x^{7/6}\)

= 8x\(x^{1/6}\)

= 8x\(\sqrt[6]{x}\)

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Answer:

750 or 3/4

Step-by-step explanation:

multiply the mass value by 1000

Both Isaac and Micah are using a compass and straightedge for their constructions.

The differences between their construction steps are:

Isaac is constructing congruent segments, which means he is dividing the original line segment into equal parts, while Micah is constructing a segment bisector, which means he is dividing the line segment into two equal parts and finding the midpoint.

Isaac only needs to mark one point on the line segment with his compass to get two congruent segments, while Micah needs to mark two points and then find the midpoint between them.

The final results of their constructions are different: Isaac will have two congruent line segments, while Micah will have one line segment bisector that splits the original line segment in half.

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The vertical component of velocity can be zero at specific points in the motion of an object.

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.

The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.

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The arrow diagram is

2 3 5

| | |

v v v

2 3 5

To prove that R is a function, we must show that "a R b" exists for each element an in X. R is a function since the only element b in X that fulfills the relation is a.

The range of R is X = {2, 3, 5}.

Generally, The relation R on X is defined as "a R b" if and only if "a = b" for all a,b in X. This means that for any element a in X, the only element b in X that satisfies the relation is a itself. We can represent this relation using an arrow diagram as follows:

2 3 5

| | |

v v v

2 3 5

To show that R is a function, we need to demonstrate that for each element a in X, there is exactly one element b in X such that "a R b". In this case, we have already shown that the only element b in X that satisfies the relation is a itself, so R is a function.

The range of the function R is the set of all possible values of b for which "a R b" is true. In this case, the range of R is the set X itself, because for any element a in X, the only element b in X that satisfies the relation is a itself. Therefore, the range of R is X = {2, 3, 5}.

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Answer:

x=7

Step-by-step explanation:

5+x / -2 = -6

5+x = -6*-2=12

x=12-5=7

Answer:

x=7

GOOD LUCK!!!

The average rate of change of the function f(x) = 2x from x₁ = 0 to x₂ = 5 is 2.

Given that a function f(x) = 2x, we need to find the average rate of change from x₁ = 0 to x₂ = 5.

To find the average rate of change of the function f(x) = 2x from x₁ = 0 to x₂ = 5, we need to calculate the change in the function's value divided by the change in x over the given interval.

The change in the function's value is given by f(x₂) - f(x₁), and the change in x is x₂ - x₁.

Plugging in the values:

f(x₂) = 2x₂ = 2 × 5 = 10

f(x₁) = 2x₁ = 2 × 0 = 0

x₂ - x₁ = 5 - 0 = 5

Therefore, the average rate of change is:

Average rate of change = (f(x₂) - f(x₁)) / (x₂ - x₁) = (10 - 0) / 5 = 10 / 5 = 2

So, the average rate of change of the function f(x) = 2x from x₁ = 0 to x₂ = 5 is 2.

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Roman numerals are usually written largest to smallest from left to right. However, the numeral for four is not IIII. Instead, the number four is written as IV. Because the one is before the five, we subtract it, making four.

The same principle applies to the number nine, which is written as IX. There are six instances where subtraction is used: I can be placed before V (5) and X (10) to make 4 and 9. X can be placed before L (50) and C (100) to make 40 and 90. C can be placed before D (500) and M (1000) to make 400 and 900.

To convert a Roman numeral to an integer, we have to sum the values of all its letters. For example, to convert the Roman numeral XXIX to an integer, we start by finding the value of each letter: \(X = 10, X = 10, I = 1, and IX = 9\). We then add up these values to get\(10 + 10 + 1 + 9 = 30\). Therefore, the integer equivalent of the Roman numeral XXIX is 30.

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Answer:

D

Step-by-step explanation:

70% as a fraction is 70/100

Answer:

The answer would be D. 70/100

Step-by-step explanation:

70% as a fraction is 70/100

The fact that she threw 50 free throws last season is not important because the question does not ask for the amount of shots she made.

Answer:

-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.

Step-by-step explanation:

When you distribute -3 with 2x+3 you multiply both values by -3.

-3*2x = -6x

-3*3 = -9 <- This is where the error is. It's -9, not +9.

Answer:

$17.50

Step-by-step explanation:

Thus, a product that normally costs $50 with a 35 percent discount will cost you $32.50, and you saved $17.50. 

Answer: he reads 52 chapters in 2 hours.

Step-by-step explanation:

Since he reads 26 chapters per hour, multiply the number of chapters by the number of hours which is two.

26 * 2 = 52

he reads 52 chapters in 2 hours.

Answer:

52 chapters

Step-by-step explanation:

Because he reads 26 chapters in 1 hour and his rate is constant (never changing), multiply 26 by 2 to find how many chapter for 2 hours.

26 x 2 = 52

Since Year 1 is the base year, the Cost per Index(CPI) remains constant at 100 for both Year 1 and Year 2. This means that the prices of apples have not changed relative to the base year.

To compute the Consumer Price Index (CPI) for apples in each year, we need to compare the prices of apples in each year to the prices in the base year (Year 1).

Year 1 (Base Year):

- Price of red apples: $1 each

- Price of green apples: $2 each

- Quantity of red apples purchased: 10

To calculate the CPI for Year 1, we use the formula:

CPI = (Total cost of the consumer basket in the current year / Total cost of the consumer basket in the base year) * 100

The total cost of the consumer basket in Year 1:

= (Price of red apples * Quantity of red apples) + (Price of green apples * Quantity of green apples)

= ($1 * 10) + ($2 * 0)  (since Abby did not buy any green apples in Year 1)

= $10

Therefore, the CPI for apples in Year 1 is:

CPI Year 1 = ($10 / $10) * 100

           = 100

Year 2:

- Price of red apples: $2 each

- Price of green apples: $1 each

- Quantity of green apples purchased: 10

The total cost of the consumer basket in Year 2:

= (Price of red apples * Quantity of red apples) + (Price of green apples * Quantity of green apples)

= ($2 * 0) + ($1 * 10)  (since Abby did not buy any red apples in Year 2)

= $10

Therefore, the CPI for apples in Year 2 is:

CPI Year 2 = ($10 / $10) * 100

           = 100

Since Year 1 is the base year, the CPI remains constant at 100 for both Year 1 and Year 2. This means that the prices of apples have not changed relative to the base year. The index does not change from Year 1 to Year 2, indicating that there is no inflation or deflation specifically related to the price of apples.

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The complete question is:

Abby consumes only apples. In year 1, red apples cost $1 each, green apples cost $2 each, and Abby buys 10 red apples. In year 2, red apples cost $2, green apples cost $1, and Abby buys 10 green apples.

'Compute the cpi for apples for each year. assume that year 1 is the base year in which the consumer basket is fixed. how does your index change from year 1 to year 2?

Answer:

n is greater than - 6.

Step-by-step explanation:

4+n>-2

subtract 4 on both sides

4-4+n>-2-4

n>-6

n is greater than - 6

Answer:

Slope is -3

Step-by-step explanation:

(0, -2) and (1, -5)

m= (y2-y1)/(x2-x1)

m= (-5+2)/(1-0)

m=( -3)/1

m = -3

Answer:

The desired quotient is 25/12.

Step-by-step explanation:

Rewrite 1 2/3 as an improper fraction:  5/3.

Then divide this 5/3 by 4/5:

 5

------ ÷ 4/5

  3

It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):

  5       5       25

----- *  ----- = ------

  3        4       12

Answer:

7 up is greatt

3000 * 5000 is 15,000,000

Step-by-step explanation:

7 up is great theres no explanation

1.)Gcf of 89 and 76

\(gcf(89and76)\)

2)step 2

\( = \frac{89 \times 76}{lcm(89and76)} \)

3.)step 3

\( = \frac{6767}{6767} = 1\)

4.)answer

\(1\)

Answer:

(t-4)

Step-by-step explanation:

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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A system of equations with fewer equations than variables can be either consistent or inconsistent.

It is impossible to predict whether the system will be consistent or inconsistent based only on this information. To determine whether the system is consistent or not, we need to solve the equations and examine the solutions. If we obtain a unique solution, the system is consistent, but if we obtain no solution or an infinite number of solutions, the system is inconsistent. Consistent System of equations: A system of equations that has one unique solution. Inconsistent System of equations: A system of equations that has no solution or infinitely many solutions. Consider the following examples. Example: Suppose we have the following system of equations:  x + y = 5, 2x + 2y = 10The given system of equations have fewer equations than variables.

There are two variables, but only one equation is available. So, this system has an infinite number of solutions and is consistent. Here, we can see that there are infinitely many solutions: y = 5 - x. Therefore, the given system is consistent. Example: Now, consider the following system of equations:  x + y = 5, 2x + 2y = 11. The given system of equations has fewer equations than variables. There are two variables, but only one equation is available. So, this system is inconsistent. Here, we can see that there is no solution possible because 2x + 2y ≠ 11. Therefore, the given system is inconsistent.

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The inequality that represents the amounts in dollars that could be deposited in a new checking account is a ≥ 75.

This inequality states that "a" must be greater than or equal to 75 dollars, which is the minimum deposit required for opening a new checking account.

the inequality "a ≥ 75" represents the amounts in dollars that could be deposited in a new checking account, where "a" is the amount being deposited and must be greater than or equal to $75.

To represent this mathematically, we can use an inequality. An inequality is a statement that compares two values using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "! =" (not equal to).

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Answer:

There are many possible answers since 5 is already greater than 3.

Step-by-step explanation:

^^^

The polynomial can be factored as

In fact, any polynomial of the form x^2-b^2 can be factored as

Back to our polynomial, we see that its zeros are

and

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

Answer:

To make him feel a little better

Step-by-step explanation:

:)

Answer:

\(y=\frac{7}{3}x+7\)

Step-by-step explanation:

\(y=mx+b\\\\y=\frac{7}{3}x+b\\ \\7=\frac{7}{3}(0)+b\\ \\7=b\\\\y=\frac{7}{3}x+7\)

For these kinds of problems, the point-slope formula comes in handy.

The point-slope form (y - y1 = m(x - x1) +b) uses the slope and a point given to find the y-intercept, or in this case, the equation of the line.

First, we plug the known #'s into the equation, then solve.

y - 7 = -7/3( x -0)

y - 7 = -7/3x

   +7        +7

y = -7/3x +7

Therefore, the equation of the line is: y = -7/3x + 7

Hope this helps!