If angela can ride her bike 3 miles to school in 15 minutes how long will it take her to ride 20 miles to the beach?

Answer:

21x^2 + 7x

Step-by-step explanation:

The formula for the area of a rectangle is L x W. The length in this case is 3x+1 and the width is x. Multiply those together and you get 3x^2 + x.

The formula for the area of a triangle is 1/2BH. When you plug in the numbers, the area of the triangle is 24x^2 + 6x.

Now, you want to subtract the area of the triangle from the area of the rectangle. When you do this, you get your answer: 21x^2 + 7x.

Dave bought more than 4 packs of trading cards.

Dave attended a game convention to purchase packs of trading cards, with each pack costing $5.

He exceeded his $20 budget in order to acquire all the cards he wanted. Let x represent the number of packs Dave bought.

Since each pack costs $5 and he went over his $20 budget, he must have bought more than 4 packs (4 packs would have cost exactly $20).

The inequality 5x > 20 represents this situation, as it demonstrates that Dave spent more than $20 on the card packs.

To determine the minimum number of packs Dave bought, we can solve the inequality for x: 5x > 20 x > 4

Therefore, Dave bought more than 4 packs of trading cards to obtain all the cards he desired.

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Answer:

279.987

this is da answer

Step-by-step explanation:

There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

Now,

we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.

We know that 1 kilogram = 2.205 lbs (approx)

Therefore,

⇒127 kilograms = 127 * 2.205

⇒127 kilograms = 280.035 lbs

Hence,

          There are 280.035 lbs in 127 kilograms.

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solution:

3x^2+9x-5

i hope this helps

:)

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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Answer:

4/3 seconds

Step-by-step explanation:

Use the kinematic or SUVAT equation that involves initial velocity, final velocity, acceleration and time since these are what we know and what we want to find;

This formula is: v = u + at

v = final velocity

u = initial velocity

a = acceleration

t = time

Then, simply substitute variables with known values and rearrange or solve for t:

4 = 8 + (-3)t

4 = 8 - 3t

3t = 8 - 4

t = 4/3

Answer:

63

Step-by-step explanation:

multiply the side by 9

Answer:

the board gets cut into two pieces

Step-by-step explanation:

5/14 is half of 5/7

Answer:

I do believe the answer is 2

Step-by-step explanation:

you need a common denominator so you multiply 5/7 by two to make 7, 14. What you do to the bottom you do to the top so your fraction turns into 10/14. She cuts pieces that are 5/14 long so 10/14-5/14=5/14-5/14=0 so she cuts 2 pieces

Given:

To Determine: The equation describing the relationship between y and x

Solution:

Step 1: Introduce the constant into the given variation

Step 2: Substitute the given values of y and x to find the constant

Step 3: Substitute k into the equation

Hence, the equation describing the relationship between x and y is

y = 9x

The distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.

The distribution of X, representing the IQ of an individual from the ruling species on the faraway planet, is a normal distribution with a mean (μ) of 106 and a standard deviation (σ) of 18. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.

In this distribution, the majority of IQ values will cluster around the mean of 106. The standard deviation of 18 indicates the average amount of variation or dispersion from the mean. The normal distribution is symmetric, which means that the probabilities of IQ values being above or below the mean are equal.

The shape of the normal distribution is bell-shaped, with the highest point being at the mean. As we move away from the mean, the probability of observing extreme values decreases. The spread of the distribution is determined by the standard deviation, where a larger standard deviation indicates a wider spread of IQ values.

the distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet.

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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual.  What is the distribution of X? X ~ N( 106 , 18 )  

the answer is 9

you do the step by step for the equation. you figure out what the formula is.

Answer:

Rectangle

Step-by-step explanation:

By putting the points in Desmos, it shows an image of a rectangle. It allows you to change the number of B and also A, and whatever number you change them to the image will still be a rectangle.

Answer:

False.

Step-by-step explanation:

The RMS (Root Mean Square) value of a sine wave represents the equivalent DC voltage that would produce the same amount of power in a resistive load. However, the heat produced in a resistor is directly proportional to the square of the current passing through it (according to Joule's Law). In the case of an AC waveform, the current continuously changes direction, resulting in a time-varying power dissipation. Therefore, comparing the RMS value of an AC waveform to a DC voltage is not directly applicable in terms of heat produced in a resistor.

The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

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The expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

How to solve cos3x/sinx cosx?Given an expression cos3x/sinx cosx.

The goal is to simplify it using trigonometric identities.

We know that the quotient identity of tan x is:

tan x = sin x / cos x

We can convert the above equation as:

cos x / sin x = 1 / tan x

Similarly, cot x = cos x / sin x

We can convert the above equation as:

sin x / cos x = 1 / cot x

Now, we can use the above equations to simplify the given equation.

Simplify cos3x/sinx cosx

We have:

cos3x/sinx cosx= cos2x * cosx / sinx cosx

= cos2x / sinx + cos2x / cosx

= cos2x/sinx + cos x

And, we know that

cos 2x =\(1 - 2sin^2x\)

= \(2cos^2x - 1\)

Substituting this value in the above equation, we get:

cos3x/sinx cosx = (\(2cos^2x - 1\)) / sinx + cos x

= secxcos2x- cscxsin 2x

Therefore, the expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

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The annual temperature range for Los Angeles, CA is 28.6°F.

The annual temperature range for Los Angeles, CA can be found by subtracting the minimum monthly mean temperature from the maximum monthly mean temperature.

According to data from the National Oceanic and Atmospheric Administration (NOAA), the average maximum monthly temperature for Los Angeles is 77.8°F, while the average minimum monthly temperature is 49.2°F.

Add the greatest number to the lowest number in the collection. The resultant value is the range of the collection of temperature readings.

Therefore, the annual temperature range for Los Angeles, CA can be calculated as follows:

Maximum Monthly Temperature - Minimum Monthly Temperature

Temperature Range = 77.8°F - 49.2°F

Temperature Range = 28.6°F

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The reason why some data mining algorithms require that variables are standardized to zero mean and standard deviation of 1.0 is because it helps to normalize the data and make it more comparable across different variables.

Standardizing the data helps to remove the impact of the scale of the variables on the analysis, allowing for more accurate comparisons and correlations between variables. By doing this, it ensures that no one variable has an undue influence on the results of the analysis. Standard deviation is a statistical measure that is used to measure the amount of variability or dispersion in a dataset. When data is standardized, it allows for a more accurate assessment of the relationship between variables and can improve the accuracy of the analysis. Overall, standardizing variables is a crucial step in the data mining process, as it helps to ensure that the results of the analysis are reliable and accurate.

The reason some data mining algorithms require variables to be standardized (or normalized) to a zero mean and a standard deviation of 1.0 is to ensure consistent and comparable scales for all variables involved. Standardizing variables helps in improving the performance and accuracy of the algorithms.

When variables have different scales or units, it can be challenging for algorithms to interpret their relative importance accurately. By transforming variables to have a zero mean and a standard deviation of 1.0, the algorithms can more effectively process and analyze the data. This standardization process is particularly important for distance-based and gradient-based algorithms, where scale differences can significantly impact the results.

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The answer is A) i.e. Both will increase.

If the point in the upper left corner of the Explanatory variable versus the Response variable scatterplot is removed, the correlation (r) and the slope of the line of best fit (b) will change.

In a data graph or dataset you're dealing with, an outlier is a data point that is unusually high or unusually low in comparison to the closest data point and the rest of the nearby coexisting values. if the point is an outlier, removing it will increase the correlation (r) and the slope of the line of best fit (b).

Therefore, the answer is A) Both will increase.

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Given question is incomplete, the complete question is below

If the point in the upper left corner of the Explanatory variable versus the Response variable scatterplot shown below is removed, what will happen to the correlation (r) and the slope of the line of best fit (b) ?

Possible answers

A) Both will increase

B) r will increase and b will decrease

C) They will not change

D) r will decrease and b will increase

E) Both will decrease

Answer:

The constant of proportionality is 10

The complement rule states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring. This is represented by the formula P(A) = 1-P(not A). Therefore, the correct answer to the question is option C. P(A) = 1-P(not A).

In other words, the complement rule is used to find the probability of an event occurring by subtracting the probability of the event not occurring from 1. This is useful in situations where it is easier to calculate the probability of an event not occurring rather than the probability of the event occurring.

For example, if the probability of an event occurring is 0.7, then the probability of the event not occurring is 1-0.7 = 0.3. This means that the complement rule can be used to find the probability of an event not occurring if the probability of the event occurring is known.

In conclusion, the complement rule states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring, and is represented by the formula P(A) = 1-P(not A).

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Answer:

1/4

How did I get this answer?

The numbers shown go by 1/2 incraments, but if you look at the lines in between, it will be 1/4

2/4 = 1/2

Answer:

1/4

Step-by-step explanation:

1/4 if you look closely you see each tick mark is 1/4 a min

Answer:

12+y+x+x+x+12+y+x = 24+2y+4x; which is A

Step-by-step explanation:

Answer:

2788.

Step-by-step explanation:

This is represented by an arithmetic series  with first term 16 and common difference 4.

The number of rows n = 34.

The capacity

= sum of 34 terms

= (34/2)[2*16 + 4(34-1)]

=  2788.

Answer:

2788

Step-by-step explanation:

16,20,24,.. This is a arithmetic progression with common difference of 4

Sn=? , d=4 , a =16 , n=34\(Sn=\frac{34}{2}[2(16)+(34-1)4] \\\\Sn=17[32+33(4)]\\\\Sn=17[164]\\\\Sn=2788\)

The future receipt is discounted at an interest rate of 12% and its present value is $210,018 in 7 years is the $520,000 received.

The formula for calculating present value is:

PV = FV / (1 + r)^n

Where:

PV = Present Value

FV = Future Value

r = Interest Rate

n = Number of years

Rearranging the formula to solve for 'n' (number of years):

n = log(FV / PV) / log(1 + r)

Plugging in the given values:

PV = $210,018

FV = $520,000

r = 12% or 0.12

n = log(520,000 / 210,018) / log(1 + 0.12)

Using a calculator, we can find the approximate value of 'n':

n ≈ 7.2 years

Therefore, in approximately 7.2 years, the $520,000 will be received. Rounding to the nearest whole number, the answer is (c) 7 years.

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Answer:

5.2

Step-by-step explanation:

adding all the numbers together and dividing it by 10.

Answer:

mean = 5.2

Step-by-step explanation:

The mean (or average) of a group of numbers is defined as the value calculated by adding all the given numbers together and then dividing the result by the number of numbers given.

Therefore,

\(\boxed{\mathrm{mean = \frac{sum \ of \ the \ numbers}{number \ of \ numbers}}}\).

In the question, the numbers given are: 3, 7, 2, 4, 7, 5, 7, 1, 8, and 8.

Therefore,

sum = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8

       = 52

There are 10 numbers given in the question. Therefore, using the formula given above, we can calculate the mean:

\(\mathrm{mean = \frac{52}{10}}\)

            \(= \bf 5.2\)

Hence, the mean of the given numbers is 5.2.

The probability that a randomly selected car had automatic transmission or air conditioning or both is 0.92517.

Total number of cars sold, n = 147

Let A denotes the car is air conditioning.

And B denotes the car is automatic message transmission.

A = 81

B = 82

Number of cars that neither of these extras = 11

Only A = 54

Only B = 55

Now,

P(A ∩ B') = A/n

P(A ∩ B') = 81/147

P(A ∩ B') = 0.551

P(A' ∩ B') = 11/147

P(A' ∩ B') = 0.07483

The probability that a randomly selected car had automatic transmission or air conditioning or both is:

P(A ∪ B) = 1 - P(A' ∩ B')

P(A ∪ B) = 1 - 0.07483

P(A ∪ B) = 0.92517

The likelihood that an automobile chosen at random has either an automatic gearbox, air conditioning, or both is 0.92517.

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Answer:

A) Rise over Run 20/10 or simplified 2

B) 31 degrees F

Step-by-step explanation:

The new interest rate that would keep A and P the same when interest is compounded quarterly is approximately 9.3%.

What is the exponential functions?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant greater than zero and not equal to 1, and "x" is the input variable.

First, let's rewrite the original equation\(A = 250(1.1)^t\) in terms of a new interest rate r and a new number of compounding periods n per year. We know that the interest is now compounded quarterly, which means there are 4 compounding periods per year. So we can write:

\(A = P(1 + r/n)^{(nt)\)

where P is the principal amount (which we can assume to be 250), r is the new interest rate (which we want to find), n is the number of compounding periods per year (which is now 4), and t is the time in years.

We want to find the new interest rate r that will keep A the same as before, so we can set the two equations equal to each other:

\(250(1.1)^t = P(1 + r/n)^{(nt)\)

Substituting the values we know, we get:

\(250(1.1)^t = 250(1 + r/4)^{(4t)\)

Dividing both sides by 250, we get:

\((1.1)^t = (1 + r/4)^{(4t)\)

Taking the natural logarithm of both sides, we get:

\(ln[(1.1)^t] = ln[(1 + r/4)^{(4t)]\)

Using the properties of logarithms, we can simplify the right-hand side:

\(ln[(1.1)^t] = 4t ln(1 + r/4)\)

Dividing both sides by 4t, we get:

\(ln[(1.1)^t] / (4t) = ln(1 + r/4)\)

Now we can solve for r by isolating it on one side of the equation:

\(ln(1 + r/4) = ln[(1.1)^t] / (4t)\)

Taking the exponential of both sides, we get:

\(1 + r/4 = e^{[ln(1.1)^t / (4t)]\)

Subtracting 1 from both sides, we get:

\(r/4 = e^{[ln(1.1)^t / (4t)]}- 1\)

Multiplying both sides by 4, we get:

\(r = 4[e^{[ln(1.1)^t / (4t)]} - 1]\)

Now we can plug in the value of t (which we don't know, but we can assume to be 1 for simplicity) and evaluate the expression:

\(r = 4[e^{[ln(1.1) / 4]} - 1] = 9.3%\)

Hence, the new interest rate that would keep A and P the same when interest is compounded quarterly is approximately 9.3%.

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Hey there!☺

\(Answer:\boxed{x(x+2)}\)

\(Explanation:\)

\(x2+2x\)

Factor x2+2x by grouping:

\(x2+2x=\\x(x+2)\)

x(x+2) is your answer.

Hope this helps!☺