a car is being pulled by a tow truck. what is the car's mass if the net force on the car is 3,000 N and it has an acceleration or 2.0m/s²?​

Answer:

the answer is 45 dollars

Step-by-step explanation:

its because:

Answer:

25 dollors hope this helps

Step-by-step explanation:

Answer:

The highest rate of birds is during the years 4 to 3

(remember that the lowest digit of number of negative is the highest and the highest is the lowest)

Step-by-step explanation:

Rate of Changes:

1 to 2: 5080.86 - 5238/ 2 - 1

=  -157.14/1

= (convert to decimal) -157.1

2 to 3: 4928.43 - 5080.86/ 3 - 2

= -152.43/ 1

= -152.43

3 to 4: 4780.58 - 4928.43/ 4 - 3

= -147.85/ 1

= -147.85

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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Option (b) is correct. Both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

Option 1) for (int q=1; q<=100; ++q) iterates 100 times, starting from 1 and incrementing by 1 until q reaches 100.

Option 2) for (int q=100; q=0; -9) also iterates 100 times, starting from 100 and decrementing by 9 until q reaches 0.

Option 3) for (int q=99; q>0; q-=9) iterates 12 times, starting from 99 and decrementing by 9 until q becomes less than or equal to 0.

Option 4) for (int q=990; q>0; q-=90) also iterates 12 times, starting from 990 and decrementing by 90 until q becomes less than or equal to 0.

Comparing the number of iterations, we can see that both 1) and 2) have equivalent iterations with 100 iterations each. Similarly, 3) and 4) have equivalent iterations with 12 iterations each. Therefore, option (b) is correct, as both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

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Answer:

y = x + 64

Step-by-step explanation:

The total # of books she has read in the first row is 67, the difference between 67 and 3 is 64.

As you look at the other rows, you see as you subtract 64, you get the same number of additional books read.

Example: 67-64=3

77-64=13

87-64=23

97-64=33

x represents the number of additional books so if you add 64 to x you get the total number which is why the answer is the 3rd option

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

The equation of the ellipse with vertices at (±25,0) and (0,±16) and eccentricity = 1 is (x/25)² + (y/16)² = 1.

The given properties of the ellipse provide us with the location of its vertices and the eccentricity. The vertices of the ellipse are located at (±25,0) and (0,±16). These points give us the major and minor axes of the ellipse.

The standard form of the equation for an ellipse with its center at the origin is (x/a)² + (y/b)² = 1, where a represents the length of the semi-major axis and b represents the length of the semi-minor axis.

In this case, the length of the semi-major axis is 25 (the distance from the origin to one of the vertices along the x-axis) and the length of the semi-minor axis is 16 (the distance from the origin to one of the vertices along the y-axis).

Substituting these values into the standard form equation, we get (x/25)² + (y/16)² = 1. This is the equation of the ellipse with the given properties, where the eccentricity is equal to 1.

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Answer:

30/72 is 0,4166666666666

or

15/36

5/12

Answer:

30/72 in simplest form is 5/12

Step-by-step explanation:

Find the prime factors of the numerator of given fraction 30/72.

Prime factors of 30 = 2 x 3 x 5

Do the same thing for the denominator

Prime factors of 72 = 2 x 2 x 2 x 3 x 3

Rewrite the fraction 30/72 in the form of prime factors

\(\frac{30}{72}= \frac{(2 x 3 x 5)}{(2 x 2 x 2 x 3 x 3)}\)

The x in the equation stands for multiply

Check and cancel the factors of 30 and 72 if any factors in the numerator and denominator can be canceled each other in the above fraction of prime factors

\(\frac{(2 x 3 x 5)}{(2 x 2 x 2 x 3 x 3)} \\\frac{( 5)}{( 2 x 2 x 3)}\)

Simplify and rewrite the fraction and you will get 5/12

Hope this helps

Answer:

Hope this helps :)

Step-by-step explanation:

\(10^{27} =-5x\)

Using translation concepts, the transformations are given as follows:

a) The function is horizontally compressed by a factor of 3 and shifted down one unit.

b) The function is shifted right 3 units and vertically stretched by a factor of 2.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Item a:

The transformations are:

Item b:

The transformations are:

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The probability that two or more of the events will occur is 0.683594.

The probability that two or more of the events will occur is equal to 1 minus the probability that none of the events will occur. Since the probability of each event occurring is 0.25, the probability that none of the events will occur is (1 - 0.25) * (1 - 0.25) * (1 - 0.25) * (1 - 0.25) = 0.316406. Therefore, the probability that two or more of the events will occur is 1 - 0.316406 = 0.683594.

Alternatively, you can find the probability that two or more of the events will occur by adding up the probabilities of each of the ways that two or more of the events can occur.

There are four ways that two events can occur (for example, event A and event B), six ways that three events can occur (for example, event A, event B, and event C), and four ways that all four events can occur.

Thus, the probability that two or more of the events will occur is (4 * 0.25 * 0.25) + (6 * 0.25 * 0.25 * 0.25) + (4 * 0.25 * 0.25 * 0.25 * 0.25) = 0.683594, which is the same result as before.

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Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Answer:

y = -4x + 2

Step-by-step explanation:

Answer:

y = -4x + 2

Step-by-step explanation:

The nodal line from question 3 intersects the x-axis at the point where the y-coordinate is equal to 0.

To find this point, we need to set the equation of the nodal line equal to 0 and solve for x.

The equation of the nodal line from question 3 is y = mx + b, where m is the slope and b is the y-intercept.

To find the x-intercept, we need to set y equal to 0 and solve for x: 0 = mx + b x = -b/m

So, the x-intercept of the nodal line is at the point (-b/m, 0). This is where the nodal line intersects the x-axis.

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Given:

A stock is worth $19,500 and grows 7% in one day.

The increase of one day =

So, the new value =

So, the answer will be the new value = $20,865

Based on the frequency distribution above, find the relative frequency for the class 19-22, Relative Frequency = 10.0%

To calculate the relative frequency, we divide the number of students in the class 19-22 (which is 3) by the total number of students (which is 6+3+8+7+2+6 = 32).

The relative frequency is found by dividing the number of students in the class by the total number of students and multiplying by 100 to express it as a percentage.

For the class 19-22, the relative frequency is (3/32) * 100 = 9.375%. Rounding this to one decimal place, we get the relative frequency as 10.0%.

Therefore, the relative frequency for the class 19-22 is 10.0%.

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The expected payout for one draw is $0.19327.

To calculate how much Mark should pay for one draw, we need to determine the probability of drawing each type of card and the corresponding payouts, and then take a weighted average.

There are 13 clubs in the deck, so the probability of drawing a club is 13/52 = 1/4. The payout for a club is $0.50.

There are 4 aces in the deck, so the probability of drawing an ace is 4/52 = 1/13. The payout for an ace is $0.65.

There is only one ace of clubs in the deck, so the probability of drawing the ace of clubs is 1/52. The payout for the ace of clubs is $0.95.

To calculate the weighted average payout, we can multiply the probability of each outcome by its corresponding payout, and then add up the products:

(1/4) x $0.50 + (1/13) x $0.65 + (1/52) x $0.95 = $0.125 + $0.05 + $0.01827

So the expected payout for one draw is $0.19327.

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In the era of social media, various types of media sites have experienced significant growth and popularity. Some of the media sites that have "boomed" include:

Putting yourself in an echo chamber is a bad idea because it can lead to the reinforcement of biased or misleading information. An echo chamber is a term used to describe a situation where an individual or group only receives information from sources that confirm their existing beliefs or opinions. This can lead to a lack of exposure to diverse perspectives, which can result in an incomplete or distorted understanding of a topic.

In an echo chamber, individuals are less likely to be exposed to counterarguments or alternative perspectives, which can lead to the reinforcement of biased or misleading information. This can be harmful because it can prevent individuals from considering alternative viewpoints and making informed decisions based on a full understanding of a topic.

Additionally, being in an echo chamber can lead to social isolation and a lack of diversity in thought and opinion. This can limit the ability of individuals to engage in constructive dialogue and to learn from others with different perspectives.

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Step-by-step explanation:

x=6

y=-4

3x+x / y-y^2

3(6)+6/-4-(-4)^2

24/-20

= -1.2

Answer:

153

Step-by-step explanation:

don't know explanation

Answer:

If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)

Step-by-step explanation:

Answer:

1. 4 sides

2. Congruent

3. 90°

4. 2 opposite sides

5. 2 sets

6. 2 opposite sides

Answer:

2,750+170d

Step-by-step explanation:

Calculation to Enter and simplify an expression for the amount in dollars that the company is paid

First step

Let d represent numbers of day

15(100+3d)

Second step is the Expression for the food booths

25(50+5d)

Third step is Expression for the game booths

15(100+3d)+25(50+5d)

Fourth step is the Expression for both game and food booths

15*100+15*3d+25*50+25*5d

=1,500+45d+1,250+125d

Fifth step is to make use of distributive Property

1,500+1,250+45d+125d

Last step is to make use of cumulative property

(1,500+1,250)+(45d+125d)

=2,750+170d (combine like terms)

Therefore expression for the amount in dollars that the company is paid is 2,750+170d

Using a bond calculator or formula, we can estimate that the present value of your bond's future cash flows is approximately $1,415. This means that the approximate market value of your bond is around $1,415, which is lower than the face value of $1,500.

To calculate the approximate market value of your bond, we need to consider the current interest rate environment. Since new corporate bonds are paying 8% interest, it means that the market interest rate has gone up since you purchased your bond with an interest rate of 5.5%. As a result, the value of your bond has decreased.

To get a detailed estimate of the market value of your bond, we would need to know the exact term and remaining term of the bond. However, as a general rule, we can estimate the approximate market value by calculating the present value of the bond's future cash flows.

This means that the approximate market value of your bond is around $1,415, which is lower than the face value of $1,500.

Please note that this is an estimate and the actual market value may vary based on several factors such as credit risk, liquidity, and demand in the market.

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Answer:

16t^2 - 4t^2 +8t -t +2

12t^2 +7t +2

\((3t+2)4t - t + 212t^{2} + (8t-t)+212t^{2}+7t+2\)

There ya go

~ Mari

Answer:

\(\sqrt{225} =15\\\sqrt[3]{225}=6.08 \\\sqrt[5]{225}= 2.95\)

Answer:For this case we must find the justification of:

By definition of properties of powers and roots we have to meet:

So, if we have:

Other property states that:

So, the expression: "Ten to the one third power all raised to the third power" is represented as:

Step-by-step explanation: b

Answer:

B

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The temperature at the midpoint of the spherical Pyrex glass shell is calculated using the linear temperature variation within the shell.

(a) The temperature at the midpoint of the shell thickness, \(T(r_m = 0.1125\) m), can be determined using the concept of thermal conduction across the shell. We can assume that the temperature variation within the shell is linear.

The temperature at the midpoint can be calculated using the formula:

\(T(r_m) = \frac{T_{s,2} - T_{s,1}}{D_2 - D_1} \times (r_m - D_1) + T_{s,1}\),

where \(T(r_m)\) is the temperature at the midpoint, \(T_{s,1}\) is the inner surface temperature, \(T_{s,2}\) is the outer surface temperature, \(D_1\) is the inside diameter, \(D_2\) is the outside diameter, and \(r_m\) is the midpoint radius.

Substituting the given values into the formula, we have:

\(T(r_m) = \frac{30 - 150}{0.30 - 0.15} \times (0.1125 - 0.15) + 150\).

(b) If the shell material were aluminum, the thermal conductivity (\(k\)) and other material properties would differ from Pyrex glass. The temperature distribution within the aluminum shell would be governed by Fourier's law of heat conduction, and the calculation of the midpoint temperature would involve solving the heat conduction equation for the specific material properties of aluminum.

The heat conduction equation accounts for factors such as thermal conductivity, boundary conditions, and material properties. To determine the midpoint temperature in the aluminum shell, one would need to solve the heat conduction equation using appropriate boundary conditions and material properties of aluminum.

In conclusion, the temperature at the midpoint of the spherical Pyrex glass shell is calculated using the linear temperature variation within the shell. However, if the shell material were aluminum, the calculation would require solving the heat conduction equation specific to aluminum, incorporating its material properties and boundary conditions.

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