a car has four regular tires and a spare tire. the car is driven 10000 miles, and the tires are rotated so that all five tires are used equally. how many miles are driven on each tire? (a) 2000 (b) 2500 (c) 5000 (d) 7500 (e) 8000

The total mass of the three boys given their individual mass is 147.3 kg

Angel mass = 36.4kg

James mass = 12 1/4 more than angels

= 12 1/4 + 36.4

= 12.25 + 36.4

= 48.65 kg

Total of Angel and James mass = Angel mass + James mass

= 36.4kg + 48.65 kg

= 85.05 kg

Darion mass = 22.8kg less than the total of angel and james mass

= 85.05 kg - 22.8kg

= 62.25 kg

Total mass of the three boys = Angel mass + James mass + Darion mass

= 36.4kg + 48.65 kg + 62.25 kg

= 147.3 kg

In conclusion, 147.3 kg is the total mass of the three boys.

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Answer:

Step-by-step explanation:

perimeter=22

AB+BC+AC=22

8+5+AC=22

AC=22-13

AC=9

Apply the Pythagorean theorem:

AB²+AB²=AC²

8²+5²=64+25=89

AC²=9²=81

no it is not a right triangle because it failed the Pythagorean theorem

Answer:

\(y-1=\frac{3}{2} (x+3)\)

Step-by-step explanation:

Slope of the line drawn is -6 ÷ -4 = \(\frac{3}{2}\)

Point slope is y - y1 = m(x - x1)

y1 = 1, x1 = -3

\(y-1=\frac{3}{2} (x+3)\)

Answer:

1/6

Step-by-step explanation:

A dies has six sides

1,2,3,4,5,6

There is 1 three

P(3) = number of threes/ total numbers

      = 1 / 6

Answer:

Find the total cost

6.40 *3.5 = 22.4$

Answer:

$22.40

Step-by-step explanation:

1 pound = $6.40

3.5 lb. x $6.40 = $22.40

to check:

$22.40 total ÷ 3.5 pounds = $6.40 per pound

The value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

First we need to find the derivative of f(x) for that we can use the product rule:

we know that \(f(x) = (x^2 - 2)(x^2 - \sqrt2)\) so the first derivative f'(x) is equal to:

\(f'(x) = [(x^2 - 2)(2x)] + [(x^2 - \sqrt2)(2x)]\)

after simplifying the derivative further, we get:

\(f'(x) = 2x(x^2 - \sqrt2 - 2)\)

We need to find the value of x for which the function f(x) =0:

So we can set f'(x) to zero and solve for x to find what is the value of x that satisfies the given equation.

\(2x(x^2 - \sqrt2 - 2) = 0\)

Therefore, either 2x = 0 (i.e., x = 0) or \(x^2 - \sqrt2 - 2\) = 0.

To solve for x in the second equation we can add 2 and \(\sqrt2\) to both sides and then take the square root of both sides:

\(x^2 = 2 + \sqrt2\\x = ^+_- \sqrt{2 + \sqrt2}\)

Therefore, the value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

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Answer:

3

Step-by-step explanation:

18: 1, 2, 3, 6, 9, 18

39: 1, 3, 13, 39

18: 1, 2, 3, 6, 9, 18

39: 1, 3, 13, 39

3

Mixed fraction \(\boldsymbol{2\frac{4}{9}}\) can be written as improper fraction as \(\boldsymbol{\frac{22}{9}}\)

A fraction in which value of numerator is greater or equal to the value of the denominator is known as an improper fraction.

Given mixed fraction is \(\boldsymbol{2\frac{4}{9}}\)

\(2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}\)

     \(=\frac{22}{9}\)

So, mixed fraction \(\boldsymbol{2\frac{4}{9}}\) can be written as improper fraction as \(\boldsymbol{\frac{22}{9}}\)

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The required improper fraction is x = 22/9

Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = numerator / denominator,
example = 8 / 9`
Types of function,
1 .  Proper Fractions = numerator < denominator

2 . Improper Fractions = numerator > denominator

3 . Mixed Fractions: fraction in the form x+ a/b

An improper fraction is defined as when the numerator is equal to or larger than the denominator. example = a / b where a  > b or 5/2 where 5 > 2.

Let the fraction be x,
x = 2 4/9
x = 2 + 4/9
x = (18 + 4 ) / 9
x = 22/9

Thus, the required improper fraction is x = 22/9

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Answer:

1,330.5 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

Where,

r = ½ of 11 = 5.5

h = 14 cm

Plug in the values

Volume = π × 5.5² × 14

Volume = π × 423.5

Volume = 1,330.5 cm³ (1 d.p)

She needs to locate the squares of the integers between 7.1 and 7.2 in order to estimate √51.

Finding an integer's square root is the inverse of squaring an integer. A number's square value is obtained by multiplying it by itself, whereas the square root of a number can be discovered by looking for a number that, when squared, produces the original value. It follows that a× a = b if "a" is the square root of "b." Every number has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number.

In the question given to us,

look at the table, we know

(7.1)² = 50.41 and (7.2)² = 51.84

So, (7.1) < √51 < 7.2 { estimate }

They should therefore determine the squares of the numbers between 7.1 and 7.2.

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The complete question is :

Meredith is trying to estimate √51 She uses this table of values:

What should she do next to find √51 to the nearest hundredth?

A. She should find the average of 7. 1 and 7. 2.

B. She should find the squares of numbers between 7. 2 and 7. 3.

C. She should find the squares of numbers between 7. 1 and 7. 2.

D. She should estimate that √51 is 7. 20.

8 cans equal 2 and not 1/4

According to the question, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

To estimate the percentage of people affected by the outbreak, we can use the following formula:

\(\[\text{Percentage} = \left(\frac{\text{Affected}}{\text{Total population}}\right) \times 100\]\)

Given that the number of affected people is 224,000 and the total population is 260,000,000, we can substitute these values into the formula:

\(\[\text{Percentage} = \left(\frac{224,000}{260,000,000}\right) \times 100\]\)

Calculating this expression, we find:

\(\[\text{Percentage} \approx 0.086 \%\]\)

Therefore, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

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To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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Answer:

$63.30

Step-by-step explanation:

Assuming the $60 is excluding taxes:

60 * 1.055 = $63.30

The mean of a data set is the sum of all the values in the set divided by the total number of values.  mean of the data set {89, 72, 68, 76, 68, 85, 81}, we add all the values together: 89 + 72 + 68 + 76 + 68 + 85 + 81 = 539.  

the sum by the total number of values, which in this case is 7. So, the mean of the data set Therefore, the mean of the data set is 77.

The mean is a useful measure of central tendency because it gives an idea of the typical or average value in the data set. It is also used in many statistical analyses, such as hypothesis testing and regression analysis. However, the mean can be sensitive to extreme values or outliers in the data set, which can skew the average. In such cases, other measures of central tendency, such as the median or mode, may be more appropriate.

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Answer:

1m/sec

Step-by-step explanation:

Mr. Hall spent 3 seconds to increase his speed to 3m/sec increasing 1m/sec, don't over think it.

To assist derivative classifiers in applying the proper classification markings, security classification guide SCGs provide comprehensive classification assistance on program-specific information.

Any instruction or source that specifies the categorization of a systems, strategy, plan, mission, or project is considered security classification guidance. It is initially distributed through Original Classification Authorities (OCAs) in order to record and share classification judgments made within their purview.

Some key features regarding security classification guide SCG are-

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Answer:  54° or 40°, depending on my interpretation of the problem.

Step-by-step explanation:

I do not understand the drawing. I see a right angle with a line bisecting it at 36 degrees.  A right angle is 90°, so the other angle should be (90 - 36) or 54°.  But what's shown is (14 - 1)°, and I don't know how to interpret that.  Is the "1" supposed to be an "x"?  If so, x = 40°

Answer: 1

Step-by-step explanation:

0.8 is the slope of the line M'N'.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).

Now, we can find the slope of line M'N' using the slope formula:

slope of M'N' = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).

slope of M'N' = (4 - 3.2) / (2.4 - 1.6)

the slope of M'N' = 0.8

Therefore, the slope of line M'N' is 0.8.

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In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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Based on the calculations, the graph represent this system of inequalities;

A. y ≤ −2x + 3

y ≤ x + 3

In order to determine the graph which represents the system of inequalities, we would have to determine the slope for each of the line representing the functions f(x) and g(x).

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided, the points for the line representing the function g(x) include the following:

Points = (0, 3)

Points = (1.5, 0)

Substituting the given parameters into the formula, we have the following;

Slope, m = (0 - 3)/(1.5 - 0)

Slope, m = -3/1.5

Slope, m = -2.

Next, we would write the inequality equation with a y-intercept of 3;

y = mx + b

Where:

Therefore, the inequality equation for g(x) is y ≤ -2x + 3.

For the line representing the function f(x), the slope is as follows;

Substituting the given parameters into the formula, we have;

Slope, m = (3 - 0)/(0 + 3)

Slope, m = 3/3

Slope, m = 1.

An inequality equation for function f(x) with a y-intercept of 3 is given by;

y ≤ x + 3.

In conclusion, we used a "less than or equal" to inequality symbol (≤) because it was stated that the boundary lines are solid and shaded below the lines.

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Step-by-step explanation:

Difference of squares: A² - B² = (A + B)(A - B).

Therefore 49x² - 16 = (7x)² - (4)² = (7x + 4)(7x - 4).

The correct answer is Option B.

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Total mortgage brokerage fees is $1,596.75. Thus, option c is correct.

These factors include the total amount you're borrowing from a bank, the interest rate for the loan, and the amount of time you have to pay back your mortgage in full. For your mortgage calc, you'll use the following equation: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1].

Calculate H = P*J, this is your current monthly interest.

Calculate C = M - H, this is your monthly payment minus your monthly interest, so it is the amount of principal you pay for the month.

Calculate Q = P - C, this is the new balance of your principal of your loan.

P = the payment.

L = the loan value.

c = the period interest rate, which consits of dividing the APR as a decimal by the frequency of payments. ...

n = the total number of payments in the life of the loan (for monthly loan payments this is the loan term in years times twelve)

With given data:

123,500 x 1.05% =$1,296.75 percentage of the fee.

Total mortgage brokerage fees

$1,296.75 + $300 =$1,596.75

Thus, Total mortgage brokerage fees is $1,596.75. Thus, option c is correct.

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The total area of the square pyramid in this problem is given as follows:

A = 27.06 in².

The square pyramid in this problem is a composite figure, hence the area of the pyramid is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Hence the total area of the square pyramid in this problem is given as follows:

A = (4.1)² + 0.5 x 5 x 4.1

A = 27.06 in².

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The correlation coefficient is 0.3161 (rounded to two decimal places).

Correlation is a statistical measure (expressed as a number) that describes the size and direction of a relationship between two or more variables.

To find the correlation coefficient using the given information xx=38,

yy=32

and xy=11, we need to use the formula for correlation coefficient:

\(r=\frac{S_{xy}}{\sqrt{S_{xx}}\sqrt{S_{yy}}}\)

Where r is the correlation coefficient,

Sxy is the sum of the cross-products,

Sxx is the sum of squares of x deviations, and

Syy is the sum of squares of y deviations.

Substituting the given values in the above formula, we have

\(r=\frac{S_{xy}}{\sqrt{S_{xx}}\sqrt{S_{yy}}}\)

\(r=\frac{11}{\sqrt{38}\sqrt{32}}$$$$\)

\(r=\frac{11}{\sqrt{1216}}$$$$\)

=\(0.3161$$\)

Thus, the correlation coefficient is 0.3161 (rounded to two decimal places).

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Answer:

6 quarters and 6 dimes

Step-by-step explanation:

since there is 6 quarters it would be 6x$.25 which is $1.50, and each dime is worth 10 cents so 6x$.10 is $.60, and $1.50+$.60=$2.10

Answer: The Answer is A

Step-by-step explanation: