for a ride on a rental scooter, bob paid an fee to start the scooter plus cents per minute of the ride. the total bill for bob's ride was . for how many minutes did bob ride the scooter?

The exponential function y = \(3^x\) grows at a faster rate than the quadratic function for x > 0.

The exponential function that grows at a faster rate than the quadratic function for x > 0 is y = \(3^x\).

To see why, let's first look at the rate of change of the quadratic function.

We can find this by looking at the differences between consecutive y-values:
1 - 0 &= 1
3 - 1 &= 2
12 - 3 &= 9
27 - 12 &= 15
$$We can see that the rate of change is increasing as x increases.

For example, the rate of change between the first two points is 1, while the rate of change between the last two points is 15.

However, this rate of change is still constant within each interval of x-values.

y = \(3^x \\\)  

Let's take a look at its y-values for the same x-values as in the table:
\(3^0\) &= 1

\(3^1\) &= 3
\(3^2\) &= 9
\(3^3\) &= 27
$$We can see that the rate of change is not constant, but rather increasing, just like in the quadratic function.

However, the rate of change is greater for y = \(3^x\).

For example, the rate of change between the first two points is 2, while the rate of change between the last two points is 18.

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The duration for the workout of Plan A is (total hours trained on Tuesday - total hours trained on Monday) / 2, and the duration of Plan B is (total hours trained on Monday - total hours trained on Tuesday) / 2.

Let's assume that Plan A lasts for x hours and Plan B lasts for y hours.

We can set up a system of two linear equations using the information provided:

x + y = hours trained with Plan A and Plan B on Monday

x + y = hours trained with Plan A and Plan B on Tuesday

Adding the two equations together:

2x + 2y = total hours trained on both days

Simplifying this equation, we get:

x + y = total hours trained on both days / 2

We can substitute this expression for x + y in one of the original equations, say the first one:

x + y = hours trained with Plan A and Plan B on Monday

(total hours trained on both days / 2) = hours trained with Plan A and Plan B on Monday

Similarly, we can substitute x + y in the second equation:

(total hours trained on both days / 2) = hours trained with Plan A and Plan B on Tuesday

Now we have two equations with two variables:

x + y = total hours trained on both days / 2

x + y = hours trained with Plan A and Plan B on Monday

Subtracting the second equation from the first, we get:

0 = (total hours trained on both days / 2) - (hours trained with Plan A and Plan B on Monday)

Therefore,

hours trained with Plan A and Plan B on Monday = total hours trained on both days / 2

We can use the same logic to find the hours trained with Plan A and Plan B on Tuesday:

hours trained with Plan A and Plan B on Tuesday = total hours trained on both days / 2

Since we know the total hours trained on both days and the hours trained with Plan A and Plan B on each day, so solving for x and y:

x = hours trained with Plan A and Plan B on Monday - hours trained with Plan A and Plan B on Tuesday

y = hours trained with Plan A and Plan B on Tuesday - hours trained with Plan A and Plan B on Monday

Substituting the expressions we found earlier, we get:

x = (total hours trained on both days / 2) - hours trained with Plan A and Plan B on Tuesday

y = (total hours trained on both days / 2) - hours trained with Plan A and Plan B on Monday

We can simplify these expressions to get:

x = (total hours trained on Tuesday - total hours trained on Monday) / 2

y = (total hours trained on Monday - total hours trained on Tuesday) / 2

Therefore, the duration of Plan A is (total hours trained on Tuesday - total hours trained on Monday) / 2, and the duration of Plan B is (total hours trained on Monday - total hours trained on Tuesday) / 2.

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The graph of the equations with the P- and Q-intercepts is shown below.

The graph of the equations with the Q- and P-intercepts is shown below.

In order to determine the P-intercept (Q, P) of P=10-2Q, we would have to substitute = 0 into the equation and then solve the resulting equation for P as follows;

P = 10 - 2Q

P = 10 - 2(0)

P = 10

Therefore, the P-intercept is (0, 10).

In order to determine the Q-intercept (Q, P), we would have to substitute P = 0 into the equation and then solve the resulting equation for Q as follows;

P = 10 - 2Q

0 = 10 - 2Q

2Q = 10

Q = 5.

Therefore, the Q-intercept is (5, 0).

Equation B.

For the P-intercept (Q, P), we have:

P = 30 + 9Q

P = 30 + 9(0)

P = 30; P-intercept (0, 30).

For the Q-intercept (Q, P), we have:

P = 30 + 9Q

0 = 30 + 9Q

Q = -30/9; Q-intercept (10/3, 0).

Q = 24 - 2P

For the Q-intercept (Q, P), we have:

Q = 24 - 2P

Q = 24 - 2(0)

Q = 24; Q-intercept (0, 24).

For the P-intercept (Q, P), we have:

0 = 24 - 2P

2P = 24

P = 12; P-intercept (12, 0).

Q = 4P - 12

For the Q-intercept (Q, P), we have:

Q = 4(0) - 12

Q = -12; Q-intercept (-12, 0).

For the P-intercept (Q, P), we have:

0 = 4P - 12

4P = 12

P = 12; P-intercept (0, 3).

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Answer:

Its either c or b

Step-by-step explanation:

sorry if its wrong

The percentage of $898.01 billion that is spent on $161.4 billion​ is equal to 17.97%.

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to determine the percentage, we would use the following mathematical expression:

Percentage = 161.4/898.01 × 100

Percentage = 0.1797 × 100  

Percentage = 17.97%

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Answer:

$38.40 × 1.06 = $40.70 before tip

$40.70 × .15 = $6.11 tip

The tip on a restaurant bill that comes to $38.40 before tax and tip, with a 6% tax added and a 15% tip included, is $6.11.

To solve this problem, we need to first calculate the total cost of the meal with tax.

The tax is calculated by multiplying the pre-tax amount ($38.40) by the tax rate (6% expressed as a decimal, which is 0.06):

Tax = $38.40 x 0.06 = $2.30

So the total cost of the meal with tax is:

Total cost = $38.40 + $2.30 = $40.70

Next, we need to calculate the amount of the tip by multiplying the total cost by the tip rate (15% expressed as a decimal, which is 0.15):

Tip = $40.70 x 0.15 = $6.11

Therefore, the tip amount is $6.11.

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The fit statistic that can be used across different series that are in fact measured in different units is; MAPE

There are different statistics models in this regards such as;

Mean Absolute Error (MAE)

Mean Absolute Scaled Error (MASE)

Accuracy Percent (Accuracy %)

Mean Squared Error (MSE)

Root Mean Squared Error (RMSE)

Mean Absolute Percent Error (MAPE)

Now, we are told that we need the fit statistic that can be used across different series that are in fact measured in different units.

The correct one will be Mean Absolute Percent Error (MAPE) because the average absolute percent difference between the values that are fitted by the model and the observed data values.

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Answer:

A) corresponding angles are equal

The alternative hypothesis will be 200β₂> -0.03.

The null hypothesis of the given statement will state that decreasing the total size by 200 square feet will not decrease the price by more than three percent. On the other hand, the alternative hypothesis lines up with the research prediction, which states that decreasing the total size by 200 square feet, will decrease the price by more than three percent. Here, the negative sign indicates a decrease in price.

Therefore, the correct answer is 200β₂> -0.03.

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Answer:

j7yh6tg5rg6tg7h65t

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer: 201.062

Step-by-step explanation: \(A_{s} =4\pi r^2\)

We can use a normal probability model to represent the distribution of sample means when the sample size is large enough to ensure that sample means will be normally distributed, option (C) is correct.

The central limit theorem (CLT) states that when sample sizes are sufficiently large (typically, n > 30), the distribution of sample means will be approximately normal, regardless of the distribution of the variable in the population.

This is because as the probability of sample size increases, the sample mean becomes a more reliable estimate of the population mean, and the variability in the sample means decreases. This results in a distribution that is bell-shaped and symmetric, similar to a normal distribution, option (C) is correct.

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– The question is inappropriate, The correct question is:

We can use a normal probability model to represent the distribution of sample means for which of the following reasons? check all that apply.

A) the sample is randomly selected

B) the distribution of the variable in the population is normally distributed

C) the sample size is large enough to ensure that sample means will be normally distributed flag –

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

a) The probability of 3 coins showing tails is 0.1635. b) The probability of at least 2 coins showing tails is 0.9853. c) The mean of the probability distribution of x is 5.2, and the standard deviation is approximately 1.21.

a) To find the probability of exactly 3 coins showing tails, we can use the binomial probability formula. The probability of getting a tail on a single flip is 0.65, and the probability of getting a head is 0.35. Using the formula, we can calculate the probability as (8 choose 3) * (0.65^3) * (0.35^5) = 0.1635.

b) To find the probability of at least 2 coins showing tails, we need to calculate the probabilities of 2, 3, 4, 5, 6, 7, and 8 coins showing tails, and then sum them up. We can use the binomial probability formula for each case and add them together to get the result.

c) The mean of the probability distribution of x can be calculated using the formula mean = n * p, where n is the number of trials (8) and p is the probability of success (0.65). So, the mean is 8 * 0.65 = 5.2. The standard deviation can be calculated using the formula standard deviation = sqrt(n * p * (1 - p)), which gives us sqrt(8 * 0.65 * 0.35) ≈ 1.21.

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Answer:

i believe its -42

Step-by-step explanation:

6 × -7 u would multiply because when ever it shows u something like that u would multiply but if it shows + - then u add or subtract but we will multiply i hope u get it right :)

Using substitution method, the solution of the system of linear equations (x ,y) are (1, 5) and the solution to the system of linear inequality is attached in the graph below.

In the question given, to find the solution to the system of linear equation, we can either use substitution, elimination or graphical method.

In this problem, we would use substitution method.

3. 4x + 2y = 14 ...eq(i)

    7x - 3y = -8 ...eq(ii)

From equ(i)

4x + 2y = 14

4x = 14 - 2y

x = (14 - 2y)/ 4 ...eq(iii)

Put eq(iii) into eq(ii)

7[(14 - 2y)/4] - 3y = -8

(98 - 14y) / 4 - 3y = -8

Solving for y

y = 5

Put the value of y = 5 into equ(i)

4x + 2(5) = 14

4x + 10 = 14

4x = 14 - 10

4x = 4

4x/4 = 4/4

x = 1

4. To solve the system of linear inequality, we can use graphical method to find the solution.

The solution to the inequality is attached to the graph below

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When a balloon filled with helium at sea level is taken into the mountains to an elevation of 7500 feet, several things can happen:

The balloon may expand

As we go higher in altitude, the atmospheric pressure decreases. This means that the pressure outside the balloon is lower at higher elevations compared to sea level. If the pressure inside the balloon remains constant, the difference in pressure between the inside and outside of the balloon increases, causing the balloon to expand.

The balloon may burst:

If the pressure inside the balloon is significantly higher than the pressure outside the balloon at the higher altitude, it may exceed the structural integrity of the balloon, causing it to burst or pop.

The balloon may deflate:

If the pressure inside the balloon is lower than the pressure outside the balloon at the higher altitude, the helium gas inside the balloon may escape, causing the balloon to deflate.

The exact outcome would depend on various factors such as the elasticity and strength of the balloon material, the volume of helium inside the balloon, the temperature, and the atmospheric conditions at the specific altitude. It is important to take into consideration the potential effects of altitude changes when using helium-filled balloons or any other gas-filled containers in different elevations to avoid potential hazards.

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Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.

We know that Betrys is cooking for 8 people, and we know that a recipe for 2 people needs 10 ounces.

8 people is 4 times 2 people, then for 8 people you need 4 times 10 ounces, this is 4*10 oz = 40 ounces.

Now we can apply a change of units, remember that:

1 oz = 28 grams

Then the total amount she needs is:

40 oz = 40*28 g = 1,120 g

So she needs in total 1,120 grams, and in the balance, she already has 720 grams, so the amount that she needs is given by the subtraction:

1,120 g - 720g = 400

Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.

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Answer

The missing value is 4/9

Answer:

why do we need to hurry?

Step-by-step explanation:

Answer:

1. y = 5

2. x = 8√11

3. A = 20√11

4. 20√11 = 66.33

Step-by-step explanation:

1. sin(30) = y/10

=> 1/2 = y/10

y = 5

2. Pythagorean theorem: c^2 = a^2 + b^2

10^2 = x^2 + y^2

10^2 = x^2 + 5^2

x^2 = 100 - 25

x^2 = 75

x = √75 = 8√11

3. Are of right △: A=ab/2 = xy/2 = 5 x 8√11 x 1/2 = 20√11

4. 20√11 = 66.33

Answer:

-4

Step-by-step explanation:

I hate calc nevertheless, factor the top number, cancel out x+2 and then plug in -2. Its simple once you see the pattern

\(\frac{x^2 - 4}{x+2} \\\frac{(x+2)(x-2)}{x+2} \\(x-2)\\-2-2\\-4\)

answer

is -7

explained

because  f(x)=3x+1,for f (-2/3)= -7

Answer:

2:4

Step-by-step explanation:

Answer:

3:6

4:8

5:10

6:12

7:14

8:16

etc...

The new coordinate after the translation of 4 point left is  (-3, -2)

Translation

Translation is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.

Given,

Here we have the points (1, -2).

Now, we have to translate this point by left side by 4 point.

In order to translate the given point we have to take the value of the x coordinate and then we have to subtract the translation point from it,

So, the calculation for this one is look like

Here the value of the x coordinate is 1

And now we have to subtract 4 from it,

So,

=> 1 - 4

=> -3

Therefore, the new coordinate after the translation is (-3, -2).

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Answer:

\(f^{-1}(x)=\pm\sqrt{x+16}\)

Step-by-step explanation:

\(f(x)=x^2-16\)

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

\(y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}\)

Now, you can swap the variables again and write the function.

\(f^{-1}(x)=\pm\sqrt{x+16}\)

A number line is drawn from negative 8 to positive 8 then the sum of numbers which are moving in a negative direction will be equal to -8.

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations.

Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data get from the question,

The number line show values from -8 to 8.

The difference when arrow goes from 0 to -2 = -2

The difference when arrow goes from -2 to -4 = -2

The difference when arrow goes from -4 to -6 = -2

The difference when arrow goes from -6 to -8 = -2

Then, the sum will be,

-2 - 2 - 2 - 2 = -8.

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