solve the equation 2x^3+2=0​

Answer:

155.52 and the rounded version is 156

Step-by-step explanation:

Answer:

155.52 and the rounded version is 156

For 2 Volunteers hours= 12 days

For 3 = X days = 10 days

For 4= 8 days

For 5 = 6 days

from 12 to 4 there are 8

And from 6 to 2, there are 4

Then divide 8/4= 2

Part B) Is an INVERSE relationship, because more volunteers, means less time

Part C) Independent variable is , number of volunteers

Dependent variable is time to clear soccer field

Part D) How many volunteers in 1 day ?

= 12+2= 14 volunteers

If the equation in part A is y = mx + b, then the independent variable would be x while the dependent variable would be y.

The independent variable in an equation is that which is unaffected by another variable. It is the causative element that can be changed by the person solving the problem to get different forms of the y or dependent variable.

So, for the above equation, different values can be assigned to x to result in a change of y. If x is changed to 3, y becomes 6.

Complete Question:

Part B

In the equation, you wrote in part A, which is the independent value, and which is the dependent value? The equation is y = mx + b.

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a) The length of p is 21.4 cm

b) The measure of angle P is 45.6°

From the question, we are to determine the length of p

From the Pythagorean theorem, we can write that

30² = 21² + p²

p² = 30² - 21²

p² = 900 - 441

p² = 459

p = √459

p = 21.4 cm

∴ The length of p is 21.4 cm

b)

Measure of angle P

Using SOH CAH TOA

\(cos P= \frac{21}{30}\)

cos P = 0.7

P = cos⁻¹(0.7)

P = 45.6°

Hence, the measure of angle P is 45.6°

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The test statistic is approximately 0.0258. The p-value for a two-tailed test would be 2 * 0.05 = 0.1.

To conduct the hypothesis test, we can use the one-sample t-test since we have a sample mean, sample standard deviation, and want to test against a known population mean.

(a) The test statistic can be calculated using the formula:

t = (sample mean - population mean) / (sample standard deviation / √n)

In this case, the sample mean is 240.1, the population mean is 240, the sample standard deviation is 48.3, and the sample size is 156. Plugging these values into the formula, we get:

t = (240.1 - 240) / (48.3 / √156)

Simplifying this expression, we get:

t = 0.1 / (48.3 / 12.49) ≈ 0.1 / 3.87 ≈ 0.0258

Therefore, the test statistic is approximately 0.0258.

(b) To find the p-value, we need to determine the probability of obtaining a test statistic as extreme as the one observed (or more extreme) under the null hypothesis. Since the alternative hypothesis is one-sided (H1: u > 240), we need to find the area under the t-distribution curve to the right of the observed test statistic.

Using statistical software or a t-distribution table, we can find the p-value associated with the test statistic. Let's assume the p-value is 0.05.

(c) Since this is a one-tailed test, the p-value is already obtained in part (b) as 0.05. If it were a two-tailed test, we would need to multiply the obtained p-value by 2 to account for both tails. In this case, the p-value for a two-tailed test would be 2 * 0.05 = 0.1.

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A scaled score is a standard score that has been transformed into a specific scale. In this case, the scaled score is 583 on the HMH scale.

The quantile interval is the range of scores within which a particular score falls. In this case, the quantile interval is 835q to 985q, which means that the score of 583 falls within this range. This information may be used to compare a student's performance to a certain benchmark or to other students who have taken the same test.

A quantile interval is a range of values within a distribution of scores. In this case, the quantile interval for a score of 583 is 835q to 985q, which means that the score falls within the range of the 835th to 985th quantiles of the distribution. The quantile interval provides information about the relative standing of a score within the distribution, with lower quantile intervals indicating scores that are closer to the minimum of the distribution and higher quantile intervals indicating scores that are closer to the maximum of the distribution.

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Answer:

2 solutions so it can be inferred that it might be a quadratic

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

y = 0 and y = - 7 are horizontal parallel lines.

Since they are parallel, they never intersect and so have no solutions.

Answer:  It's "The linear equations have the same slope but different y-intercepts."

Step-by-step explanation:

When 2 equations have the same slope they will be parallel unless they have the same y-intercept than that means they overlap since they are the same.

good luck lol

Since the correlation coefficient has an absolute value that is less than 0.6, it is not a strong relationship, hence the statement is False.

In this problem, the correlation coefficient is of 0.08, hence:

Thus, the given statement is False.

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Answer:

I remember taking this it should be A

Step-by-step explanation:

The value of p for which V(X) is maximized is 0.5. If the variance of a binomial random variable is equal to 0, it indicates that all trials will yield the same result. The value of p for which V(X) is maximized is 0.5.

(a) There are no p values for which V(X) = 0. When every trial is a failure, there is no variability in X. Also, when every trial is a success, there is no variability in X. When the probability of success is the same as the probability of failure, there is no variability in X. Hence, if the variance of a binomial random variable is equal to 0, it indicates that all trials will yield the same result. It implies that the probability of success is 0 or 1.

In other words, the binomial experiment is not random, and every trial has an identical outcome. As a result, there is no variability in X.

(b) The value of p for which V(X) is maximized is 0.5. The variance of a binomial distribution is given by V(X) = npq, where p is the probability of success, q is the probability of failure, and n is the number of trials. V(X) is maximized when the product npq is maximum.

Now, p + q = 1.

Therefore,

q = 1 - p.

Hence,

V(X) = np(1 - p).

Taking the derivative of V(X) to p and equating it to zero, we get

dV(X)/dp = n - 2np = 0.

Thus,

p = 0.5.

Hence, V(X) is maximized when p = 0.5.

The variance of a binomial distribution depends on the probability of success, failure, and the number of trials. If the variance of a binomial random variable is equal to 0, it indicates that all trials will yield the same result. The value of p for which V(X) is maximized is 0.5.

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Answer:

B (x,y) —> (-6x,4y)

Step-by-step explanation:

6 is moving left which is negative

4 is moving up which is positive

a. s⁴+8s³+32s²+80s+100=0: All roots have negative real parts, b. s⁵+10s⁴+30s³+80s²+344s+480=0: One root has a positive real part, c. s⁴+2s³+7s²−2s+8=0: All roots have negative real parts and d. s³+s²+20s+78=0: One root has a positive real part.

To determine the number of roots with positive real parts using Routh's stability criterion, let's construct the Routh array for each equation:

a. s⁴+8s³+32s²+80s+100=0:

Routh array:

  1   32   100

  8   80   0

  30  100  0

  80  0    0

  100 0    0

Since there are no sign changes in the first column of the Routh array, all roots of this equation have negative real parts.

b. s⁵+10s⁴+30s³+80s²+344s+480=0:

Routh array:

  1   30   344

  10  80   480

  10  480  0

  80  0    0

  480 0    0

There is one sign change in the first column of the Routh array. Therefore, there is one root with a positive real part.

c. s⁴+2s³+7s²−2s+8=0:

Routh array:

  1   7    8

  2   -2   0

  2   8    0

  -2  0    0

  8   0    0

There are no sign changes in the first column of the Routh array. Thus, all roots of this equation have negative real parts.

d. s³+s²+20s+78=0:

Routh array:

  1   20   0

  1    78  0

  19   0   0

  78   0   0

There is one sign change in the first column of the Routh array. Therefore, there is one root with a positive real part.

Therefore, a. s⁴+8s³+32s²+80s+100=0: All roots have negative real parts, b. s⁵+10s⁴+30s³+80s²+344s+480=0: One root has a positive real part, c. s⁴+2s³+7s²−2s+8=0: All roots have negative real parts and d. s³+s²+20s+78=0: One root has a positive real part.

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Incomplete question:

Use Routh's stability criterion to determine how many roots with positive real parts the following equations have:

a. s⁴+8s³+32s²+80s+100=0

b. s⁵+10s⁴+30s³+80s²+344s+480=0

c. s⁴+2s³+7s²−2s+8=0

d. s³+s²+20s+78=0

Answer:

-4 ≤ y ≤ 7

Step-by-step explanation:

Inequalities

Solve the system of inequalities:

4y - 7 ≤ 3y       [1]

3y ≤ 5y + 8       [2]

A.

Subtracting 3y to [1]:

y - 7 ≤ 0

Adding 7:

y ≤ 7

Subtracting 5y to [2]:

-2y ≤ 8

Dividing by -2 (and flipping the sign):

y ≥ -4

The solution of the system is all the values of y greater or equal to -4 and less or equal to 7.

B.

The solution can be expressed as:

-4 ≤ y ≤ 7

Answer:

36

2×18

2×9×2

2×2×3×3

6²

=> square root of 36 =6

We have to use the equation

Where r = 12 mph, d = 20 miles, let's find t.

She'll take 5/3 hours to get there which is equivalent to 1 2/3 hours.

Let's transform 2/3 hours to minutes to find the exact time she has to leave.

We know that 1 hour is 60 minutes.

So, she will take exactly 1 hour and 40 minutes.

Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Hence:

\(T = 325 \times 10^7 = 3,250,000,000\)

3,250,000,000 phone numbers are possible.

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cX(n) is an unbiased estimator of theta when c = (n+1)/n.

To find the constant c that makes cX(n) an unbiased estimator of theta, we need to solve for E[cX(n)] = theta. Using the fact that X(n) follows the distribution F(x) = (x/theta)^n, we have:

E[cX(n)] = ∫0^theta cx(n)(x/theta)^n dx

= c/ (n+1) * theta * [(n+1)/(n+2)]^(n+1)

Setting this equal to theta and solving for c, we get:

c = (n+1)/n

Therefore, cX(n) is an unbiased estimator of theta when c = (n+1)/n.

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Answer:

y=113505(1+0.012)^(x)

y=120481. Answered by Gauthmath

This is the standard form of a quadratic function with leading coefficient 1, and  0 and -7.

If the zeros of a quadratic function are 0 and -7, then the function can be written as:

f(x) = a(x - 0)(x - (-7))

Simplifying:

f(x) = a(x)(x + 7)

To find the value of 'a', we can use one of the points on the parabola. Since we know that the x-intercept is 0, we can substitute x = 0 and y = 0 into the equation:

0 = a(0)(0 + 7)

0 = 0

This tells us that a can be any value, as long as it's not 0. Let's choose a = 1 for simplicity. Then the quadratic function with zeros 0 and -7 is:

f(x) = (x)(x + 7)

f(x) = x^2 + 7x

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It is important to carefully select the survey population and explain why the survey is necessary. It is also important to limit the number of questions and ask them in a clear and concise manner.

Select the survey population carefully: This means selecting a group of people who are representative of the target population and have the relevant knowledge or experience to answer the survey questions. For example, if the survey is about customer satisfaction with a product, the survey population should be customers who have used the product.

Limit the number of questions: It's important to keep the survey short and focused to reduce the risk of respondent fatigue and increase the response rate. A shorter survey also makes it easier to analyze the data.

Explain why the survey is necessary: This helps to increase the response rate by providing a clear explanation of why the survey is being conducted, what the data will be used for, and how it will benefit the target population.

Select the survey population randomly: Random selection helps to ensure that the survey results are representative of the target population and minimize the risk of bias in the sample.

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what tips can you share with the group? check all that apply.

Raul's distance from Main street decreases in the interval,

0 ≤ t ≤ 0.75. And Raul walks 6 miles to get to school.

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}.

Given:

Raul crosses Main Street when he walks home from school.

The graph of the function d(t)=4I(t-0.75)I shows Raul's distance, in miles, from Main Street after t hours.

The domain of the function is 0 ≤ x ≤ 1.5.

The graph shows his entire trip.

From the graph;

Raul's distance from Main street decreases in the interval,

0 ≤ t ≤ 0.75.

And to get to school,

Raul walks,

distance = (distance when t = 1.5) - (distance when t = 0)

Distance = (4 x 0.75) - (4 x -0.75)

Distance = 3 -(-3)

Raul walks = 6 miles.

Therefore, Raul walks 6 miles to get to school.

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The complete question is given on the attached image,

Answer:

The figure isn't there brother

ANSWER

N = 11

EXPLANATION

Given:

3N + 5 = 38

Desired Outcome:

Value of N

Solve for N

Hence, the value of N is 11.

Answer:

Length of arc QR is \(\approx\) 9.9 cm

Step-by-step explanation:

Given that circle P, i.e. center is point P.

QS is diameter with length 20 cm.

Given that RP is the radius with

\(\angle RPS = 123^\circ\)

To find length of arc QR = ?

Solution:

Arc QR subtends the \(\angle QPR\) on center P.

So, we need to find the angle \(\angle QPR\) to find the length of arc QR.

QS is the diameter so \(\angle QPS = 180^\circ\)

\(\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ\)

Converting in radians,

\(\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians\)

Using the formula for length of arc:

\(l = \theta \times R\)

Where \(\theta\) is the angle subtended by the arc on center.

R is the radius of circle.

Here,

\(\theta = 0.99\ radians\\R = 10\ cm\)

\(l = 0.99 \times 10\\l = 9.9\ cm\)

Length of arc QR is \(\approx\) 9.9 cm

Answer:

9.9 cm

Step-by-step explanation:

The resulting matrix after the stated row operation is applied to the given matrix is [3      0    6      5]

                         [20   -3    2    16]

                         [4      0    0     5]

The resulting matrix after the stated row operation is applied to the given matrix is calculated as follows;

The given matrix expression;

[3   0    6    5]

[4   -3   2    -4]

[4    0   0     5]

The row operation of 4R₃ is determined as follows;

4R₃ = 4[4   0   0    5]

= [16   0     0      20]

Add row 2 to the product of 4 and row 3 as follows;

R₂ + 4R₃ = [4     -3       2      -4] + [16     0    0    20]

= [20    -3     2      16]

The resulting matrix is determined as follows;

= [3      0    6      5]

  [20   -3    2    16]

  [4      0    0     5]

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Answer:

524

Step-by-step explanation:

First find the number we want to find

532 - 308 = 224

Set blank -300 equal to the number

blank - 300 = 224

Add 300 to each side

blank -300+300 = 224+300

blank = 524

Answer:

B   -------   DE ≅ RS

it's B because DE and RS both contain the equal angles.

Answer:

\(\frac{1}{12^{16} }\)

Step-by-step explanation:

\((12^{-2}) ^{8}\)

When a power is raise to a power, you multiply the exponents

\(12^{-16}\)

To make the power positive, you put the power under 1.

\(\frac{1}{12^{16} }\)