10.let's multiply
a)85×56
​

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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I have the answer. The answer is AAS

The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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Answer:

y=9x-45

Step-by-step explanation:

9x-y=45

-y=45-9x

y=9x-45

The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

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Answer:

Obviously B

Step-by-step explanation:

Answer:

28, 33, 38

Step-by-step explanation:

You can see from the first 4 numbers that it is increasing by 5, so the next 3 numbers would be:

28, 33, 38

The equations that can be used to eliminate m₂ are 1. m₂ = 3m₁ and 4. m₂g - T=m₂a₂

From the question, we have the following parameters that can be used in our computation:

1. m₂ = 3m₁

2. --m₁g cosθ + T= m₁a₁

3. a₁ = a₂

4. m₂g - T=m₂a₂

To eliminate m₂, the equation to use must have a term or factor that has m₂

using the above as a guide, we have the following:

1. m₂ = 3m₁ and 4. m₂g - T=m₂a₂

Hence, the equations are 1. m₂ = 3m₁ and 4. m₂g - T=m₂a₂

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Question

A physics student solving a physics problem has obtained the following four equations that describe the physics of a system of masses connected:

1. m2 = 3m1

2. --mig cosθ + T= miai

3. a1 = a2

4. m2g-T=m2a2

The student decides to eliminate the unknown m2. Which two of the equations can be used to eliminate m2?

By using previous years' population data and calculating the annual growth rate, we can estimate the population of the United States in 2010, assuming the population trend continued in the same manner.

To estimate the population of the United States in 2010, we can use the population growth trend from previous years. Here's a step-by-step explanation:

1. Collect population data: Find the population of the United States in previous years, preferably as close to 2010 as possible. For example, we can use the population data from 2000 and 2005.

2. Calculate the annual growth rate: Subtract the population in 2000 from the population in 2005, and divide the result by the population in 2000. Then, divide the result by the number of years between the two data points (5 years in this case) to get the average annual growth rate.

3. Apply the growth rate to the 2005 population: Multiply the population in 2005 by the annual growth rate, and then add the result to the 2005 population to get an estimate of the population in 2006. Repeat this process for each subsequent year until you reach 2010.

4. The estimated population in 2010: The result of step 3 for the year 2010 will be the reasonable estimation of the population in 2010, assuming the population trend continued in the same manner.

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Answer:

$12.33

Step-by-step explanation:

74/6 = 12.33

Answer:

12.3

Step-by-step explanation:

I hope this is right!

Answer:

3400

Step-by-step explanation:

if you add it all up in cm, which is 340cm then divide by 10 you get 3400.

The mean of the given data set is 3.5, the variance is 5.056, and the approximate mean using the grouped data table is 0.428.

The average of a set of values is referred to as the mean. To calculate the mean of a dataset, add up all of the values and divide by the number of values.

We can calculate the mean of the given data set as follows:

Mean = (9 + 6 + 2 + 0 + 2 + 3 + 5 + 2 + 1 + 5)/10

Mean = 3.5

Variance:Variance is a measure of how much a set of data varies. In other words, variance tells us how far each value in the dataset is from the mean. The variance formula is as follows:

σ² = (Σ(x - μ)²) / N

Where σ² is the variance, Σ is the sum, x is each value in the data set, μ is the mean of the data set, and N is the number of values in the data set.

Using the above formula, we can calculate the variance for the given data as follows:

First, we need to calculate the mean of the data set.x f(x)

xf(x)4 1 45 3 15 6 4 24 7 4 28 8 2 16

Total 14 128

Mean (μ) = 128 / 14 = 9.14

σ² = (Σ(x - μ)²) / N

σ² = [1(4 - 9.14)² + 3(5 - 9.14)² + 4(6 - 9.14)² + 4(7 - 9.14)² + 2(8 - 9.14)²] / 14

σ² = 5.056

Approximating the Mean:

We can use the midpoint of each interval as an approximate value for the entire interval. We can calculate the approximate mean as follows:

Mean = Σ(midpoint × proportion of stocks)

Mean = (-0.80 × 0.03) + (-0.40 × 0.03) + (0.00 × 0.2) + (0.40 × 0.44) + (0.80 × 0.16) + (1.20 × 0.06) + (1.60 × 0.05) + (2.00 × 0.03)

Mean = 0.428

Therefore, the mean of the given data set is 3.5, the variance is 5.056, and the approximate mean using the grouped data table is 0.428.

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You can infer causality from a correlational result, but only when the r value is greater than b. 0.5

A correlation coefficient, generally denoted by the symbol "r," is a metric that evaluates the degree and direction of a linear relationship between two variables. r has a value between -1 and 1, with -1 indicating a strong negative correlation, +1 indicating a high positive correlation, and 0 indicating no connection.

A correlation value of 0.5 or above is regarded moderate or strong, and it might indicate that a causal link exists between the two variables. It is crucial to remember, however, that correlation does not imply causation, and that other factors such as confounding variables, spurious correlations, or reverse causality may be contributing to the apparent association.

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Answer:

If you mean 0 + (-1) then it's -1

Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.

For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

She buys 5 boxes, hence

1 in 4 boxes has a prize, hence

The probability is:

P ( X ≤ 1 ) =P ( X = 0 ) + P ( X = 1 )

Then ,

P ( X ≤ 1 ) = P ( X = 0 ) + P ( X = 1 )

= 0.2373 + 0.3955

= 0.6328

Thus 0.6328 = 63.28% probability that she wins at most 1 prize

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The total area under the standard normal curve to the right of z=1.72 is equal to 0.9573. Therefore. the correct option is option A. 0.9573.

To find the area under the standard normal curve to the right of z=1.72, you need to subtract the area to the left of z=1.72 from the total area under the curve.

The total area under the standard normal curve is equal to 1. Given that the area to the left of z=1.72 is 0.0427, follow these steps:

Subtract the area to the left of z=1.72 from the total area:
  1 - 0.0427 = 0.9573

The area under the standard normal curve to the right of z=1.72 is 0.9573, which corresponds to option A.

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Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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Answer:

  >

Step-by-step explanation:

You know that 100% = 1, so ...

  120% > 1

Answer:

i think it is 80 i might be wrong

Step-by-step explanation:

Answer:

y > -3x + 6

Step-by-step explanation:

The answer for sure is y > -3x +6

Answer:

r u going to be a little late to the party but I

The probability of getting an ace and a three is (4/52) × (3/51) = 12/2652 which simplifies to 1/221.

There are 4 aces and 4 threes in a deck of 52 standard cards.

The probability of getting an ace on your first draw is 4/52.

Once you have the ace, there are 51 cards left in the deck, 3 of which are threes.

Therefore, the probability of drawing a three is 3/51.

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The average number of customers waiting in the queue is 20

In this question, we have been given that the customers arrive at the rate of two per minute.

On average a customer waits 10 minutes in a queue.

We need to find the number of customers waiting in the queue on average.

Assume that the average number of customers waiting in the queue is N.

We have the average Rate of Arrival = 2 customers per minute

So, by the formula for average waiting time under the Single-Server Queue Model,

10 = N/2

N = 10 * 2

N = 20

The average number of customers waiting according to the single-server queue model given the above conditions is 20

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Answer: the answer is B which is x < -1

Step-by-step explanation: trust me bro and happy holidays :)

Answer:

\(\huge\boxed{B)\ x<-1}\)

Step-by-step explanation:

Solve this inequality the same way you would solve an equation: by isolating x.

Simply subtract 6 from both sides to get -4x > 4.   Then merely divide both sides by -4 to get x < -1.  (Notice that when dividing by a negative number, you must flip the sign of the inequality.)

Hope it helps :)

The answer is D. 2a²+ab+a.

What is perimeter of a triangle?

The perimeter of a triangle is the sum of the lengths of its sides.

The perimeter of the triangle with sides a²-ab, a-2a², and a²+2ab is:

Perimeter = (a² - ab) + (a - 2a²) + (a + 2ab)

Simplifying and combining like terms, we get:

Perimeter = 2a² - ab + a + 2ab

Perimeter = 2a² + a + ab

Perimeter = a(2a + 1 + b)

Therefore, the perimeter of the triangle is a(2a + 1 + b). The answer is D. 2a²+ab+a.

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Answer: wyd are you mad at me

Answer: Who are

Step-by-step explanation:

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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