Chen rode his skateboard 334 miles in 34 of an hour. What was his average speed in miles per hour?

The differential equation that represents the relationship is

     dT/dt = - k * ( T - T0 ) from the condtion - dT/dt ∝ ( T - T0 ).

Given:

The engine fluid temperature rate of change, dT/dt

- dT/dt ∝ ( T - T0 )   [proportional to the difference of the fluid's instantaneous temperature, T, and the fluid's original temperature, T0.]

The Differential Equation that represents the relationship.

The framework is already set, there is only one thing that changes the proportionality to an equation. And that is a proportionality constant.

Let's call it 'k'

Since this is a directly proportional set up, the constant 'k' will be multiplied to the term of ( T - T0 )

                            - dT/dt = k * ( T - T0 )

And to make this look like a typical equation, multiply both sides by a -1 to get:

                           ∴ dT/dt = - k * ( T - T0 )

As expected, this comes to represent the same thermodynamic effect you'd see in Newton's Law of Cooling; it is expected because most of all fluids exhibit this cooling effect when interacting with other fluids of differing temperatures.

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The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:

\(\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10\)

Step-by-step explanation:

Given

\(\frac{\sqrt{5}}{\sqrt{8}}\)

Required

Express in its simplest form

To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.

In other words:

\(\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}\)

\(\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}\)

\(\frac{\sqrt{40}}{\sqrt{64}}\)

Take positive square root

\(\frac{\sqrt{40}}{8}\)

Express 40 as 4 * 10

\(\frac{\sqrt{4*10}}{8}\)

\(\frac{\sqrt{4}*\sqrt{10}}{8}\)

\(\frac{2*\sqrt{10}}{8}\)

Simplify:

\(\frac{1*\sqrt{10}}{4}\)

\(=\frac{1}{4}\sqrt{10\)

Hence:

\(\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10\)

Answer:

x = five over two and x = −3

Step-by-step explanation:

Let's solve your equation step-by-step.

2x2+x=15

Step 1: Subtract 15 from both sides.

2x2+x−15=15−15

2x2+x−15=0

Step 2: Factor left side of equation.

(2x−5)(x+3)=0

Step 3: Set factors equal to 0.

2x−5=0 or x+3=0

x=5/2 or x=−3

Answer:

A

Step-by-step explanation:

Wildwood:   216,650

Applewood: 219,750

Riverside:     237,500

Seaside:       240,850

Lakewood:    241,900

Answer: THE ANSWER IS A I PASTED THIS TEST ITS JUST

Step-by-step explanation:

A)Wildwood, Applewood, Riverside, Seaside, Lakewood

you can't do that. there isn't enough detail. we don't know how much each item costs

Answer:

a rectangle

Step-by-step explanation:

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

Answer:

Step-by-step explanation:

Use the formula for the cos of an angle:

\(cos\theta=\frac{adj}{hyp}\)  where the adjacent side is the length of 4 and the hypotenuse is the "c" we are looking for. Setting up the equation:

\(.33=\frac{4}{hyp}\)

Solve that equation for hyp to get:

\(hyp=\frac{4}{.33}\)

Dividing that gives us that hyp (aka "c") = 12.121212...

c ≈ 12.12 (approximate value of side c in the right triangle).

Recall that in a right triangle, the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

In this case, cos B = 0.33.

We are given the length of the adjacent side, a, which is 4 units.

Use the equation cos B = a/c and rearrange it to solve for c:

cos B = a/c

Multiply both sides by c: c * cos B = a

Divide both sides by cos B: c = a / cos B

Substitute the values we have: c = 4 / 0.33.

Calculate the value of c using a calculator or by performing the division:

c ≈ 12.12.

Therefore, the length of side c in the right triangle is approximately 12.12 units.

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The leading team has scored 0.13 points per game for the season that the second place player.

What is PPG Statistics?

First, consider the PPG of the current leader of the season from among the two basketball players.

The total number of points obtained by the current leader is equal to 2112.

The total number of games played by the current leader is equal to 77.

The points per game obtained by the current leader can be calculated as follows,

PPG = Total Points Obtained / Total Number of Games

\(\implies PPG=\frac{2112}{77}\\\implies PPG=27.42\)

Now, consider the PPG of the second place player for the season.

The total number of points obtained by the second place player is equal to 2020.

The total number of games played by the second place player is equal to 74.

The points per game obtained by the second place player can be calculated as follows,

PPG = Total Points Obtained / Total Number of Games

\(\implies PPG=\frac{2020}{74}\\\implies PPG=27.29\)

Subtracting the points per game of both players, we get

\(27.42-27.29=0.13\)

Hence, the leading team has scored 0.13 points per game (PPG) for the season compared to the second place player.

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Answer:

G

Step-by-step explanation:

9+(-3) = 6

Answer:

undefined

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2  x_1)

slope = (-3 - 4)/(6 - 6)

slope = -7/0

Since division by zero is undefined, this line has undefined slope.

Answer:

508.4

Step-by-step explanation:

This is on delta math

Answer:

508.4

Step-by-step explanation:

delta math

An equation to show the sequence is -25n.

When all the terms of the geometric sequence are added, than that expression is known as geometric series.

The sum of terms of a geometric sequence;

Now, lets suppose its initial term is   , multiplication factor will be r

and let it has total n terms, then, its sum is given as:

\(S_n = \dfrac{a(r^n-1)}{r-1}\)

(sum till nth term)

We are given that;

The first term of sequence=-25

D= -50-(-25)

=-25

Now,

an = a + (n-1)d

=-25+(n-1)-25

=-25-25n+25

=-25n

Therefore, the answer of the sequence will be -25n.

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Answer: 31

Step-by-step explanation: just took the test

1. The rate that Brand A is selling for is A) 10-unit rate.

2. The unit rate of Brand A is $0.10 per pound.

The unit rate refers to the variable cost per unit or the quotient of a division operation.

The unit rate shows a value's ratio in relation to another.

To compute the unit rate, we can use the division operation that makes the denominator the dividend, which is divided by the numerator (or divisor).

The quantity in Brand A = 20 pounds

The quantity in Brand B = 60 pounds

Cost of Brand A = $2

Cost of Brand B = $5

The unit rate for Brand A = $2/20 = $0.10, which can also be expressed as 10 units for $1 (20/$2).

Likewise, the unit rate for Brand B = $5/60 = $0.83, which we can describe as 12 units for $1 (60/$5).

Thus, we can conclude that the rate at which Brand A is selling is Option A.

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Answer Options:

A) 10-unit rate

B) 12-unit rate

C) 9-unit rate

D) 8-unit rate

Answer:

Step-by-step explanation:

3x + 3y = 14

12x + 12y = 56    ⇔  \(\left \{ {{3x+3y=14} \atop {3x+3y=14}} \right.\)

The system is consistent and dependent ⇒ It's impossible to use the Cramer's rule.

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

The equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that there is a total of 15 events. And in order to win 75% of the event, Cheyenne need to win,

The number of matches Cheyenne needs to win = 75% of 15

                                                                                 = 11.25 ≈ 12 events

Since Cheyenne has already won 6 events out of 15, she needs to win 6 more events.

Hence, the equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

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If  i just graduated from school with $25,000 worth of debt. The monthly payment if you were able to finance it over 7 years at 6% is: $359.44.

Using the loan payment formula to find the monthly payment

Payment = Loan Amount× (Interest Rate / 12) / (1 - (1 + (Interest Rate / 12))^- (Number of Payments))

Plugging in the values:

Payment = $25,000× (0.06 / 12) / (1 - (1 + (0.06 / 12))^- (12 × 7))

Payment = $359.44

Therefore the monthly payment is $359.44.

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Answer:

2 because of the way the question is written

2/5 if you get 2 wrong.

Step-by-step explanation:

1/2 * 4/5  of means multiply

numerator:  1*4 = 4

denominator = 2 * 5 = 10

Answer: 4 / 10 but this will reduce. Divide Top and Bottom by 2

4/2 = 2

10/2 = 5

Answer: 2/5

The way you should answer is 2 because the question gives you the fact that it is in 5ths. If you get it wrong then put in 2/5.  

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

Answer:

Option 2

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem.

Answer: D is correct.

Step-by-step explanation:

The economic system that has no government involvement in the market is d. No economic system is free from government involvement.

In reality, there is no government intervention because at some point the government will comes in , this could actually be minimal, only in the free market is where there is no government intervention.

It should be noted that in this free market, there is an unregulated system of economic exchange, where the act of taxes collection as well as quality controls,  has no economic interventions which can be attributed to the government. Because of this, option D is correct.

I hope this helped! Brainilist is highly appreciated! <333

Answer:

Answers: 40/60 and 400/600.

Step-by-step explanation:

Ok, these fractions are equivalent to 67%, and to 4/6.

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Answer:

  (a)  y = 1.5x² -4.5x -6

Step-by-step explanation:

You want the standard form of the quadratic with roots 4 and -1, and passing through the point (1, -9).

For roots p and q, the standard form can be found from the factored form:

  (x -p)(x -q) = x² -(p+q)x +pq

For the given roots, the product pq will be ...

  (4)(-1) = -4

The sum p+q is 4+(-1) = 3. The x-coefficient is the opposite of this.

The parent quadratic (before vertical scaling) will be ...

  (x -4)(x +1) = x² -3x -4

The coefficients of the last two terms have the same sign. (Eliminates the 2nd and 4th answer choices.)

The given point has an x-value (1) between the given roots (-1, 4):

  -1 < 1 < 4

The y-value at that point is negative. This means the vertex of the parabola will be below the x-axis, so the parabola opens upward and the leading coefficient is positive. (Eliminates the last two answer choices.)

The answer choices tell us the leading coefficient is 1.5, so the equation is ...

  y = 1.5(x² -3x -4)

  y = 1.5x² -4.5x -6 . . . . . . matches the first choice

__

Additional comment

We could find the value of the leading coefficient 'a' by evaluating ...

  y = a(x -4)(x +1)

for x = 1. We would get ...

  -9 = a(1 -4)(1 +1) = -6a   ⇒   a = -9/-6 = 1.5

As we saw above, this isn't necessary. We only need to know that its sign is positive. The answer choices tell us the value.

If the x-value of the given point is not between the roots, then we know the sign of the y-value is the sign of the leading coefficient.

For multiple-choice questions, you only need to work enough of the problem to determine which answer choice is correct. You don't necessarily need to work the problem all the way to an answer.

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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