Michael and Chad started out at their houses and are biking towards each other. Michael started out first, and has already gone 2 miles. He bikes at a constant speed of 3 miles per hour. Chad just left, and rides at 4 miles per hour. When the boys meet halfway between their houses, they will continue to the park together. How long will that take? How far will each boy have ridden?

Answer:

S/2πr-r=h

Step-by-step explanation:

so a

Answer:

It's A) \(\frac{S}{2\pi r} - r = h\)

Step-by-step explanation:

I'm good at the game.

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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If MCAT scores are distributed normally with mean (μ) = 113 and variance (σ²) = 144 and a random sample of 27 participants is taken, then the standard error of the mean is 2.31. The correct answer is option 5.

To find the standard error of the mean, follow these steps:

Hence, option 5) 2.31 is the correct answer.

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The logical assumption that Darin make about the Roof Truss Diagram is that the rise is 4.6 ft and the run is 9 feet.

Based on the information provided, it appears that Darin assumed that the Roof Truss Diagram is symmetrical, meaning that both sides of the roof have the same dimensions and angles. This assumption is supported by his calculation that the pitch of both sides of the roof is close to 1/2.

Rise will be:

= 9 × tan 27°

= 9 × 0.5095

= 4.6 feet.

Run will be 9ft

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Answer:

144500

Step-by-step explanation:

Answer:

In scientific notation, 1.445 x 10 ^7

In expanded form, 14450000

Hope this helps!

The relative minimum are

To find the relative minimum, the point has to satisfy the following conditions

So, at point A, we see that the tangent is not equal to zero, so it is not a minimum point

At point B, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point C, we see that the tangent is not equal to zero but negative so it is not a minimum point

At point D, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

At point E, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point F, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

at point G, we see that the tangent is not equal to zero and it is increasing, so it is not a minimum point

So, the only points that satisfy the condition for minimum point are Points D and point F

So, the relative minimum are

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The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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Answer:

removes liquid waste and hormones from the blood and works closely with the nervous system.

Step-by-step explanation:

The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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Answer:

n=15/2

Step-by-step explanation:

25+n(20)=175

n(20)=175-25

20n=150

n=150/20

n=15/2 ans...

Considering a width x of the sand path, we have a larger rectangle of dimensions 50+2x by 34+2x, as indicated in the figure. Now, the area of the sand path is expressed.

\(\boldsymbol{\sf{ (50+2x)(34+2x)-50\times 34=540\Longrightarrow\quad 0=4x^2+168x-540 }}\)

           \(\boldsymbol{\sf{ 0=4(x^2+42x-135)=4(x-3)(x+45) }}\)

Therefore, the path is 3 m long.

Answer:

Step-by-step explanation:

If Lee builds 5 toys in 5 minutes, then that means he builds 1 toy per minute

Additionally, in 9 hours, there are 540 minutes (9 * 60)

If Lee creates 1 toy per minute for 540 minutes, he will have 540 toys

If Lee builds 5 toys in 5 minutes, then that means he builds 1 toy per minute

Additionally, in 9 hours, there are 540 minutes (9 * 60)

If Lee creates 1 toy per minute for 540 minutes, he will have 540 toys

The given indefinite integral evaluates to ∫(2√2 + #de) = (4/3) (2\(^3^/^2\)) + e + C.

The given indefinite integral is: ∫(2√2 + #de).

We know that the integral of √x is (2/3) x\(^3^/^2\)

The given integral can be re-written as follows: ∫(2√2 + #de) = 2∫√2 #de + ∫#de.

Since the integral of a constant term is just the product of the constant and the variable, the second integral is given by: ∫#de = e + C, where C is the constant of integration.

On the other hand, the first integral can be calculated using the integral of √x, which is given by: (2/3) x\(^3^/^2\)+ C.

Putting this back into the original integral, we have:

∫(2√2 + #de) = 2∫√2 #de + ∫#de

= 2(2/3) (2\(^3^/^2\)) + e + C

= (4/3) (2\(^3^/^2\))) + e + C.

In summary, the given indefinite integral evaluates to ∫(2√2 + #de) = (4/3) (2\(^3^/^2\)) + e + C.

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Answer:

1309 marbles

Step-by-step explanation:

All together:

Answer:

Seven is not an example of variable bcz variable are the letters like x,y and z.

Step-by-step explanation:

hope it help ^_^

seven is not an example of a variable.

The correct answer is an option (C).

"A quantity that has a fixed numerical value."

"A letter or symbol whose value may changes."

"It is a mathematical statement which consists of constant, variable and some mathematical operations"

For given question,

Seven is not an example of a variable.

Seven is fixed number, it's value cannot be changed.

Seven is an example of a constant.

Also, it is an example of a term and an expression.

Therefore, seven is not an example of a variable.

The correct answer is an option (C).

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The rate of change in temperature experienced by the duck is given by -28sin(7t)cos(7t)e^(-3sin^4(7t)).

The rate of change in temperature experienced by the duck swimming in the given circle can be found by differentiating the temperature function T = 2x²e^(-3xy^4) with respect to time (t).

By applying the chain rule and product rule, the derivative dT/dt can be calculated as follows:

dT/dt = dT/dx * dx/dt + dT/dy * dy/dt

Using the given parametric equations for x and y, we can express dx/dt and dy/dt in terms of trigonometric functions. Then, by taking the partial derivatives of T with respect to x and y, we can evaluate dT/dx and dT/dy.

After computing the derivatives and simplifying the expression, the final result for dT/dt is:

dT/dt = -28sin(7t)cos(7t)e^(-3sin^4(7t))

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A. (8 * t) + (8 * 8) is equivalent to 8t + 64

B. 4t + 8 + 4t is equivalent to 8t + 8

C. 4(2t + 2) is equivalent to 8t + 8

D. 8t + 64 is equivalent to 8t + 64

E. 8t + 16 is equivalent to 8t + 16

F. (8 + t) + (8 + 8) is equivalent to 16 + t.

So the expressions that are equivalent to 8(t + 8) are B and C, the expression that is equivalent to 8t + 8 is E, and the expression that is neither is F.

In the given problem, we are comparing the given expressions to see if they are equivalent to 8(t + 8), 8t + 8, or neither.

Expression A: (8 * t) + (8 * 8) = 8t + 64

This expression is equivalent to 8t + 64, which is not the same as 8(t + 8) or 8t + 8.

Expression B: 4t + 8 + 4t = 8t + 8

This expression is equivalent to 8t + 8, which means that adding up 4t and 8, and then adding 4t again to the result is the same as multiplying 8 with t and adding 8 to the result.

Expression C: 4(2t + 2) = 8t + 8

This expression is also equivalent to 8t + 8, which means that multiplying 2t + 2 with 4 is the same as multiplying 8 with t and adding 8 to the result.

Expression D: 8t + 64 = 8t + 64

This expression is the same as 8t + 64, which is not equivalent to either 8(t + 8) or 8t + 8.

Expression E: 8t + 16 = 8t + 16

This expression is the same as 8t + 16, which is not equivalent to either 8(t + 8) or 8(t + 8).

Expression F: (8 + t) + (8 + 8) = 16 + t

This expression is not equivalent to either 8(t + 8), 8t + 8, or neither.

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--The question is incomplete, answering to the question below--

"Drag each expression to show whether it is equivalent to 8(t + 8), 8t + 8, or neither.

A. (8 * t) + (8 * 8)

B. 4t + 8 + 4t

C. 4(2t + 2)

D. 8t + 64

E. 8t + 16

F. (8 + t) + (8 + 8)"

Answer:

279936^3

OR

21936950640377856

Step-by-step explanation:

For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression

It is given that the expression is,

Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.

The expression for the given condition is,

=(10 + 16) ÷ 2

If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,

=2/3 x 2 + 1/4

Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.

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Answer:

A)

this is a corect answer for this question:)

Answer:

  3000 +219d

Step-by-step explanation:

The food booth rental revenue is ...

  11(100 +9d) = 1100 +99d

The game booth rental revenue is ...

  20(95 +6d) = 1900 +120d

Then the total revenue is ...

  (1100 +99d) +(1900 +120d) = 3000 +219d

a. Additive identity for integers:An additive identity is a number that, when added to any other number, leaves that number unchanged. The additive identity for integers is 0. For example, 3 + 0 = 3 and -8 + 0 = -8. Therefore, 0 is the additive identity for integers.

b. Addition of integers is associative: Addition of integers is associative, meaning that it doesn't matter how the numbers are grouped when adding three or more integers. This can be shown using numeric examples. For example, (2 + 3) + 4 = 2 + (3 + 4) = 9. Therefore, addition of integers is associative.

c. Zero multiplication property of integers:The zero multiplication property of integers states that any integer multiplied by 0 is equal to 0. This can be shown using numeric examples. For example, 5 x 0 = 0 and -7 x 0 = 0. Therefore, the zero multiplication property of integers is true.

d. Subtraction of integers is not commutative: Subtraction of integers is not commutative because changing the order of the numbers being subtracted changes the result. For example, 7 - 3 = 4, but 3 - 7 = -4. Therefore, subtraction of integers is not commutative.

e. Multiplication of integers is commutative: Multiplication of integers is commutative, meaning that the order in which the numbers are multiplied does not affect the result. For example, 2 x 3 = 3 x 2 = 6. Therefore, multiplication of integers is commutative.

f. Definition of integer division: Integer division is the process of dividing one integer by another, and rounding the result down to the nearest integer. For example, 15 ÷ 7 = 2 because 15 divided by 7 is 2.1428, but we round down to the nearest integer, which is 2.

The additive identity for integers is 0, addition of integers is associative, zero multiplication property of integers states that any integer multiplied by 0 is equal to 0, subtraction of integers is not commutative, multiplication of integers is commutative and integer division is the process of dividing one integer by another, and rounding the result down to the nearest integer.

These properties help us to understand the relationships between integers and make computations with them easier. These properties are useful in different mathematical fields and are essential to study in order to understand the fundamentals of mathematics.

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Answer:

  2^(2^n)

Step-by-step explanation:

You want to know how many different truth tables of compound propositions there are that involve n propositional variables p1 . . . pn.

N propositional variables can give rise to 2^n compound propositions. Each of those can be true or false, so the truth table that describes them can have 2^(2^n) different forms.

With 2 variables, 4 propositions can be formed. Each of those can be true or false, so the 16 possible truth tables are ...

  TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF,

  FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF

With 6 variables, there can be 18446744073709551616 possible different truth tables.

<95141404393>

When it comes to propositional logic, a truth table is a tabular method of representing a compound proposition's truth or falsity. A truth table includes a row for every possible combination of truth values, as well as a column for every proposition involved in the compound proposition.

When it comes to propositional logic, a truth table is a tabular method of representing a compound proposition's truth or falsity. A truth table includes a row for every possible combination of truth values, as well as a column for every proposition involved in the compound proposition. There are a total of 2^n possible combinations of truth values for n propositional variables. For each row in the truth table, the truth value of the entire proposition is computed using the truth values of the individual propositions. So, for n propositional variables, there are 2^{2^n} possible truth tables. For example, when n is 1, there are 2 possible truth tables with 1 variable.

When n is 2, there are 16 possible truth tables with 2 variables. When n is 3, there are 256 possible truth tables with 3 variables. When n is 4, there are 65,536 possible truth tables with 4 variables. It is clear from these examples that the number of possible truth tables grows at an exponential rate. Therefore, it is not practical to list all possible truth tables for even moderately sized compound propositions with a large number of propositional variables.

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Giben the triangles:

ABC and PQR

Thiangle PQR is a reduction of triangle ABC, this means that the sides of triangle ABC were divided by a reduction factor to determine the side lengths of triangle PQR.

Using the lengths of sides AB and its correspoding side PQ you can calculate the used reduction factor k following the formula:

Using this relationship you can determine the value of the reduction factor

The reduction factor is k=4

Now that we have determined the factor, we can calculate the length of PR as:

The length of PR=6, so the correct option is C.

Olivia's favorite breakfast food is "Cereal" and it has 200 calories.

Here are two different relational algebra expressions that will give you the same result:

Expression 1:

SELECT F.Name, F.Calories, C.CompanyName

FROM Food F, Company C

WHERE F.FoodID = C.FoodID

   AND F.Name IN (

       SELECT Name

       FROM FavoriteBreakfast

       WHERE Person = 'Olivia'

   )

The subquery SELECT Name FROM FavoriteBreakfast WHERE Person = 'Olivia' retrieves the name of Olivia's favorite breakfast food.

The main query performs an inner join between the tables "Food" and "Company" using the common attribute "FoodID" to retrieve the relevant information.

The WHERE clause filters the result to only include rows where the food name matches Olivia's favorite breakfast food.

The SELECT clause selects the name of the food, the amount of calories, and the name of the company.

Expression 2:

SELECT F.Name, F.Calories, C.CompanyName

FROM Food F

JOIN Company C ON F.FoodID = C.FoodID

WHERE EXISTS (

   SELECT 1

   FROM FavoriteBreakfast FB

   WHERE FB.Person = 'Olivia'

       AND FB.Name = F.Name

)

The subquery SELECT 1 FROM FavoriteBreakfast FB WHERE FB.Person = 'Olivia' AND FB.Name = F.Name checks if there is a matching row in the "FavoriteBreakfast" table where the person is Olivia and the food name matches.

The main query performs an inner join between the tables "Food" and "Company" using the common attribute "FoodID" to retrieve the relevant information.

The WHERE clause ensures that only rows where a matching row exists in the subquery are included.

The SELECT clause selects the name of the food, the amount of calories, and the name of the company.

Both expressions will give you the same result, which includes the name of Olivia's favorite breakfast food, the amount of calories in that food, and the name of the company that makes that food.

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6 - n = 6 - (-#) = 6 + n

3 (6n) = greatest value

Answer:

3

Step-by-step explanation:

33 - 2[3(3 + 12) - (5 x 2)3] =

= 33 - 2[3(15) - (10)3]

= 33 - 2[45 - 30]

= 33 - 2[15]

= 33 - 30

= 3