the bike of an ironman competition is 112 miles. Your friends says that if you continue to bike at this pace, you will be able to complete the bike portion of the ironman in less then 6.5 hours. Is your friends correct?

The area of the triangle JHI is 8.75 square units.

From the given figure,

Area of a ΔJHI = Area of a rectangle - (Area of 3 triangles)

= 5×4 - (1/2 ×3×4 + 1/2 ×2×3 + 1/2 ×1×5)

= 20 - (6+3+2.5)

= 20 - 11.25

= 8.75 square units

Therefore, the area of the triangle JHI is 8.75 square units.

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Answer:

2.25 GB

Step-by-step explanation:

You and your brother each spend 0.75 GB per month, meaning that together you spend 1.5 GB.

Subtract this from the total to find the remaining amount of data left:

6 - 1.5 = 4.5 GB

Assuming your mother and father split the remaining data equally, simply divide the remaining amount by 2 to find your answer:

4.5 / 2 = 2.25

Therefore, your parents can each use 2.25 GB.

Step-by-step explanation:

Given,

data limit = 6 GB

data limit use by you and ur brother = 0.75 GB

and rest is used by mother and father equally.

so, a/q

0.75 - 6 = 5.25 GB

remaining data = 5.25 GB

let's convert 5.25 GB in Mb

1 GB = 1000 Mb

so = 5.25 × 1000 = 5250 Mb

hence, rest of the data is used by mother and father equally so,

5250/2 = 2625 Mb Or 2.625 GB

hence, our/your father and mother can use 2.625 Gb each!

hope this answer helps you dear...!

Percentage error is the difference between an actual value and its expected value per the actual value which is expressed in percentage. In the given question, the percentage error is option b.  0.0772

Percentage error is the difference between an actual value and its expected value per the actual value which is expressed in percentage.

This can be expressed as;

percentage error = \(\frac{actual value - expected value}{actual value}\) x 100%

Where the actual value is the accurate value, and the expected value is derived from the actual value.

Thus in the given question, it can be deduced that,

actual value = 625.483

expected value = 625.000

The difference between the two values = (625.483 - 625.000)

                                                  = 0.483

So that,

percentage error = \(\frac{0.483}{625.483}\) x 100%

                   = 0.07722

percentage error = 0.0772

Therefore, the required percentage error is 0.0772 i.e option b.

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The difference in the equation between the vertical asymptotes and the holes is explained below.

A hole is a place on the graph where the function's value is not defined. When a rational function's numerator and denominator have a common factor, they cancel when simplified. The deleted value leaves a gap in the graph.

Asymptotes are imaginary lines that are very close to the whole graph of a function or a segment of the graph. An asymptote is a line that a function's graph approaches when x or y approaches positive or negative infinity. Asymptotes are classified into three types: vertical, horizontal, and oblique. When a factor in the denominator does not cancel, a vertical asymptote is produced.

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Using imaginary unit i:

Recall i² = -1

-20 = -1 × 20 = i² × 20

Answer:

20 inches

Step-by-step explanation:

Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.

480÷12 = 40

That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.

1/2 × 40 =20

This means that the distance between the cities on the map would be 20 inches.

The average rate of change of 2|x| on the interval [-3, 5] is 0.5

The function is given as

2|x|

Rewrite as

f(x) = 2|x|

The interval is given as

[-3, 5]

So, we have

f(-3) = 2|-3| = 6

f(5) = 2|5| = 10

The average rate of change of 2|x| on the interval [-3, 5] is then calculated as

Rate = (f(5) - f(-3))/(5 --3)

This gives

Rate = (10 - 6)/(5 --3)

Evaluate

Rate = 0.5

Hence, the average rate of change of 2|x| on the interval [-3, 5] is 0.5

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The probability is 0.2137

Explanation:

Given a particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls.

The probability that in a sample of 25 incoming calls, exactly 5 of them involve fax messages is calculated as follows;

P(X = 5) = 25C5(0.25)⁵(0.75)²⁰= 53130(0.25)⁵(0.75)²⁰= 0.2137

Therefore, the probability that in a sample of 25 incoming calls, exactly 5 of them involve fax messages is 0.2137.

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Answer:

yo congratulations on finishing 10th grade (congratulate me on finishing 8th)

hamood spelled backwards is doomah so...um...

also do u mean 7/2/21..bc 6/2/21 is like in June and we're in July

The solution of the system by using elementary row operations on the equations or on the augmented matrix following systemic elimination procedure is x1 = −8 and x2 = 3.

The complexity of the algebra required to solve a linear system rises as the number of equations and unknowns grows. By streamlining the nomenclature and standardizing processes, the necessary computations may be made easier to handle.

The procedures listed below should be followed in order to solve a system of linear equations using the row operations:

1. As a matrix equation, write the equations as AX = B.

2. Create an augmented matrix by converting the matrix equation to the following form: [A | B] (the word "augmented" refers to the vertical line we create to remind us where the equals sign belongs).

3. Reduce the augmented matrix using row operations to arrive at the answer.

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9514 1404 393

Answer:

  x = -7/2  is not in the domain

Step-by-step explanation:

The numbers that must be excluded from the domain are the ones that make the function be undefined. That is, any value of x that makes the denominator zero will be excluded from the domain.

  2x +7 = 0

  2x = -7

  x = -7/2 . . . . . must be excluded

The only number not in the domain is x = -3.5.

The rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station is 317.5 mi/h.

A rate in which a certain number of units of the first quantity are compared to one unit of the second quantity is not the same as a unit rate. In other words, we may state that the comparison's second amount is always 1.

Thus, P denotes the plane's location, R denotes the radar's location, and V denotes the point that is vertical to the radar and at the plane's height.

Assume that h is the height of the plane, s is the separation from the radar, and x is the separation from point V.

The plane travels at 480 miles per hour and has a 3 mile height. Ds-480 miles per hour.

dt By Pythagorean theorem,

x² = h² + s²

x² = 3²+s²

x² = 9 + s²

Differentiate implicitly with respect to t.

2x dx/dt = 2s ds/dt + 0

x dx/dt = s ds/dt

Use (1)

dx/dt = \(\frac{dx}{dt} =\frac{\sqrt{x^2-9} }{x}\)

= √7/4 x 480

= 120√7

≈ 317.49

Hence, the distance increasing at the rate of dx/dt is 317.5 mi/h.

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The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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Answer:

infinitely many solutions

Step-by-step explanation:

When you put the equations in desmos, the lines are the same therefore it has infinitely many solutions.

Answer:

✔️ c) infinitely many

Step-by-step explanation:

Using it's concepts, it is found that the domain and the range of the function are given as follows:

In this problem, the function is:

\(y = \frac{1}{3}\sqrt{x - 4}\)

The square root exists only for non-negative values, hence the domain is found as follows:

\(x - 4 \geq 0 \rightarrow x \geq 4\)

The result of the square root function is never negative, hence the range of the function is \(y \geq 0\).

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Answer:

The Area of the parallelogram = 144 m²

Step-by-step explanation:

Formula:

Area of a parallelogram = b × h

Where , b is the base of the parallelogram

and h is its height.

………………………………

In our case :

b = 12  ;  h = 12

Then

The Area of the parallelogram = 12 × 12 = 144 m²

Answer:

Step-by-step explanation:

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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Answer:

Step-by-step explanation:

Missing reasons:

Answer:

\(\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = \\ = \sqrt{9 \times 2} + \sqrt{16 \times 2} - 3 \sqrt{4 \times 2} \\ =3 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} \\ = 3 + 4 - 6 \sqrt{2} \\ = 7 - 6 \sqrt{2} \\ = 1 \sqrt{2} \)

Semoga membantu

Answer:

\(\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = 1 \sqrt{2} \)

The mean squared error equals to c.) 6.

The mean squared error is a measure of the accuracy of a forecast model, indicating the average squared difference between the forecasted values and the actual values in a time series. In this case, a three-period moving average forecast is used.

To compute the mean squared error, we need to calculate the squared difference between each forecasted value and the corresponding actual value, and then take the average of these squared differences.

Using the given time series values and the three-period moving average forecast, we can calculate the squared differences as follows:

(23 - 17)² = 36

(17 - 17)² = 0

(17 - 26)² = 81

(26 - 11)² = 225

(11 - 23)² = 144

(23 - 17)² = 36

(17 - 17)² = 0

Taking the average of these squared differences, we get:

(36 + 0 + 81 + 225 + 144 + 36 + 0) / 7 = 522 / 7 ≈ 74.57

Therefore, the mean squared error is approximately 74.57.

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We can write the given partial equilibrium model on the form Ax = d, and then use Cramer's rule to solve for the values of Qs* and P*.

To write the model on the form Ax = d, we need to express the equations in a matrix form.

The given equations are:

Qd = a1 + b1P

Qs = a2 + b2(P - t)

We can rewrite these equations as:

-Qd + 0P + Qs = a1

0Qd - b2P + Qs = a2 - b2t

Now, we can represent the coefficients of the variables and the constants in matrix form:

| -1 0 1 | | Qd | | a1 |

| 0 -b2 1 | * | P | = | a2 - b2t |

| 0 1 0 | | Qs | | 0 |

Let's denote the coefficient matrix as A, the variable matrix as x, and the constant matrix as d. So, we have:

A * x = d

Using Cramer's rule, we can solve for the variables Qs* and P*:

Qs* = | A_qs* | / | A |

P* = | A_p* | / | A |

where A_qs* is the matrix obtained by replacing the Qs column in A with d, and A_p* is the matrix obtained by replacing the P column in A with d.

By calculating the determinants, we can find the values of Qs* and P*.

It's important to note that Cramer's rule allows us to solve for the variables in this system of equations. However, the applicability of Cramer's rule depends on the properties of the coefficient matrix A, specifically its determinant. If the determinant is zero, Cramer's rule cannot be used. In such cases, alternative methods like substitution or elimination may be required to solve the equations.

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Answer:

$27.59

Step-by-step explanation:

You multiply 30 dollars by 0.85 (1-0.15, with the 0.15 being for the 15 percent off). Which gets you to $25.50, and you then multiply it by 1.082 (the 1.082 being the tax, and the .082 part equating to the 8.2% tax percentage).

Answer: a+-5 x 4 (I THINK)

Step-by-step explanation:

The opposite of being short $4.28 would be having $4.28 or more. That is a surplus or extra of $4.28.

Surplus refers to an amount or quantity that is left over or in excess of what is needed or used. It can refer to various things, such as:

In finance, a surplus refers to an excess of revenue over expenses, or an excess of assets over liabilities. It means having more of something than is necessary or expected.

Therefore, the opposite of being short $4.28 would be having $4.28 or more. This is often referred to as having a surplus or extra of $4.28.

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