On monday, you run on a treadmill for 1/2 hour at x miiles per hour. On tuesday, you walk the same distance on a treadmill, but 2 MPH slower, and it takes you 3/4 hour. How many miles did you run on monday?

Answer:

Oh jeez I forgot most of this, but I believe it is Complementary

Step-by-step explanation:

Answer:

32+58+90

Step-by-step explanation:

32 and x is a 90 degree angle since its a right angle and right angles add up to 90

Using  "if" and "only if" for the second definition of ligament gives:

A ligament is a bond of tissue if and only if, it connects bones or hold organs in place.

This is a term used to refer to a type o statement that brings two conditional statement together, Most of the times biconditional statements use if and only if to combine the two conditions.

In the given statement, the two conditions are

Biconditional statements ensures that the two statements are maintained for the statement to be valid.

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Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Simplifying

2x + 9 + -10 = -5

Reorder the terms:

9 + -10 + 2x = -5

Combine like terms: 9 + -10 = -1

-1 + 2x = -5

Solving

-1 + 2x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0

0 + 2x = -5 + 1

2x = -5 + 1

Combine like terms: -5 + 1 = -4

2x = -4

Divide each side by '2'.

x = -2

Simplifying

x = -2

I hope it helps you

48+140=188

92+210=302

if you at all it equals 490

The probability that the system is idle in a single-server waiting line system can be calculated using the formula for the probability of zero arrivals during a given time period. In this case, the arrival pattern is characterized by a Poisson distribution with a rate of 3 customers per hour.

The arrival rate (λ) is equal to the average number of arrivals per unit of time. In this case, λ = 3 customers per hour. The average service time (μ) is given as 12 minutes, which can be converted to hours by dividing by 60 (12/60 = 0.2 hours).
The formula to calculate the probability that the system is idle is:
P(0 arrivals in a given time period) = e^(-λμ)
Substituting the values, we have:
P(0 arrivals in an hour) = e^(-3 * 0.2)
Calculating the exponent:
P(0 arrivals in an hour) = e^(-0.6)
Using a calculator, we find that e^(-0.6) is approximately 0.5488.
Therefore, the probability that the system is idle is approximately 0.5488.

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Based on the given options, the displacement could be either 0 km or 6 km, depending on the specific details of Dr. Siva's route.

To determine the displacement, we need to consider the net change in position or the straight-line distance between the initial and final positions. Let's analyze the information given:

Dr. Siva walked from home to school, then from the school to the park, and finally walked back home.

The displacement is not determined by the total distance traveled but rather by the straight-line distance between the starting and ending points. We don't have specific information about the distances or directions between the locations, so we cannot calculate the exact displacement.

However, we can make some assumptions based on the given options:

If the distances from home to school and from the school to the park are the same, and Dr. Siva returns directly from the park back home, the displacement would be 0 km. This implies that the final position is the same as the initial position.

If Dr. Siva walks 10 km from home to school, then 10 km from the school to the park, and finally walks 10 km back home, the displacement would be 0 km. This is because the final position would be the same as the initial position.

If Dr. Siva walks 10 km from home to school, then 2 km from the school to the park, and finally walks 6 km back home, the displacement would be 6 km. This implies that the final position is 6 km away from the initial position in the direction of home.

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The number of shoppers that were buying food for a week or more is 20 shoppers.

It was as illustrated that the survey of shoppers at a grocery store found that 40% of shoppers were buying food for a week or more.

Since 50 shoppers were surveyed, the number of people buying the food will be:

= Percentage × Total shoppers

= 40% × 50

= 0.4 × 50

= 20

Therefore, the number is 20.

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Answer:

Slope = -1

Step-by-step explanation:

We will use 2 points from the graph.\

(0 , 2) and (2 , 0)

formula for slope = y2 - y1/x2 - x1

0 - 2/2 - 0

=-2/2

=-1

The answer is 115 degrees

Answer:

thank you i need that

Step-by-step explanation:

1. The number of days that we have to wait before the first Daily 4 number drawn in the California State Lottery is a 6.

This can be best described as a geometric distribution. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.

In this case, each day can be considered a trial, and the probability of success (drawing the number 6) is the same for each trial (1/10).

2. The amount of time before the next plane crash in the United States.

This cannot be easily classified into one specific distribution. The occurrence of plane crashes typically does not follow a specific distribution pattern, and the time between crashes can vary widely.

It may be more appropriate to consider an exponential distribution, assuming that the events occur randomly and independently over time.

3. The number of typographical errors on a page in the rough draft of a report.

This can be best described as a Poisson distribution. The Poisson distribution is used to model the number of events that occur in a fixed interval of time or space, given a known average rate of occurrence.

In this case, the typographical errors occur randomly and independently on the page, and the average rate of occurrence can be estimated.

4. The number of times that a rifle shooter hits a target if he shoots 10 times.

This can be best described as a binomial distribution. The binomial distribution models the number of successes (hitting the target) in a fixed number of independent trials (shooting 10 times), where each trial has the same probability of success (hitting the target).

The probability of hitting the target can be estimated based on the shooter's skill level.

5. The number of phone calls that a salesperson gets in the next hour.

This can be best described as a Poisson distribution. The Poisson distribution is commonly used to model the number of events that occur in a fixed interval of time, given a known average rate of occurrence.

In this case, the phone calls occur randomly and independently, and the average rate of occurrence can be estimated.

6. The number of minutes that the salesperson is waiting before her next phone call.

This can be best described as an exponential distribution. The exponential distribution is commonly used to model the time between events in a Poisson process, where events occur randomly and independently over time.

In this case, the salesperson's waiting time follows an exponential distribution if the phone calls arrive randomly and independently according to a Poisson process.

7. The time of day that a meteor enters the Earth's atmosphere.

This cannot be easily classified into one specific distribution. The time of day that a meteor enters the Earth's atmosphere is subject to various factors and is not expected to follow a specific distribution pattern.

It may be more appropriate to consider a uniform distribution if the meteor entry times are equally likely throughout the day or a more complex distribution if there are known patterns or influences on meteor entry times.

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Answer:

58,5km/h

Step-by-step explanation:

Vyork-leeds=45km/h

Vleeds-blackpool=72km/h

(45+72):2=58,5km/h

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

= 868.1ft^3

Step-by-step explanation:

Volume of the square based pyramid = BH/3

B is the base area

H is the height of the pyramid

Base area = Length * Length

Base area = 14.1*14.1

BAse area = 198.81ft^2

Height = 13.1feet

Substitute

Volume = 198.81*13.1/3

Volume of the pyramid = 868.1ft^3

Hence the volume of a pyramid with the square base is 868.1ft^3

Answer: 868.1 ft^3

Step-by-step explanation:

Answer:

I wish you luck

Step-by-step explanation:

\(\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2\)

\(\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2\)

\(\\ \sf\longmapsto x^2+y^2=2xy\)

\(\\ \sf\longmapsto x^2+y^2-2xy=0\)

\(\boxed{\sf (a-b)^2=a^2-2ab+b^2}\)

\(\\ \sf\longmapsto (x-y)^2=0\)

\(\\ \sf\longmapsto x-y=\sqrt{0}\)

\(\\ \sf\longmapsto x-y=0\)

Now

\(\\ \sf\longmapsto 4x-4y-4\)

\(\\ \sf\longmapsto 4(x-y-4)\)

\(\\ \sf\longmapsto 4(0-4)\)

\(\\ \sf\longmapsto 4(-4)\)

\(\\ \sf\longmapsto -16\)

An expression which can be used to determine the slope of the line include the following: A. \(\frac{-1 - 4}{3-2}\)

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-1 - 4)/(3 - 2) ⇒ (required expression).

Slope (m) = -5/1

Slope (m) = -5.

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Complete Question:

The graph of a line passes through the two points below.

(2, 4); (3,-1)

Which of these can be used to determine the slope of the line?

A. \(\frac{-1 - 4}{3-2}\)

B. \(\frac{-1 + 4}{3+2}\)

C. \(\frac{4 - 1}{3-2}\)

D. \(\frac{-1 - 3}{4-2}\)

1)Substituting the given values, we get:

xyz = 3(-1)(2) = -6

Therefore, when x=3, y=-1, and z=2, the value of xyz is -6.

2)y^2 = (-1)^2 = 1

Therefore, when x = 3, y = -1, and z = 2, y^2 = 1.

3) 2

The value of m (slope) is 0, and the value of b (y-intercept) is 27 for the given line.

If the line is parallel to the x-axis, it means that it is a horizontal line. In this case, the equation of a horizontal line is of the form y = b, where b is the y-intercept.

Given that the line passes through the point (20,27), we can determine the value of b by substituting the coordinates of the point into the equation.

Substituting x = 20 and y = 27 into the equation y = b, we get:

27 = b

Therefore, the value of b is 27.

Since the line is parallel to the x-axis, its slope (m) is 0. A horizontal line has a slope of 0 because the y-coordinate does not change as the x-coordinate varies.

Hence, the equation of the line that goes through the point (20,27) and is parallel to the x-axis can be written as y = 0x + 27, which simplifies to y = 27.

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Answer: 5(x+3)(x-2)

Step-by-step explanation:

just read closely and pay attention in class.

Answer:

Step-by-step explanation:

The two triangles have two equal side measures:

The third side is different and the given angles are opposite them.

It means the angle measure 4x - 20 is smaller than 112:

On the other hand, the angle measure is positive:

So the possible range of x is:

First it must be positive

And

So solution range

Answer: x(-1.8-6y)  =  -1.8*x -6*y*x

Step-by-step explanation:

The distributive property says that if we have:

A*(B + C) where A, B and C can be any numbers, we can expand the equation as:

A*(B + C) = A*B + A*C.

So, in this case, we have the equation:

x*(-1.8 - 6y)

so we can expand this as:

x*(-1.8 - 6y) = x*(-1.8) + x*(-6*y) = -1.8*x -6*y*x

The g(1) = 1 cannot be determined based on the given information. The options (a), (b), (c), (d), and (e) are not relevant in this case as the exactness of the differential equation is not established.

To determine if the given differential equation is exact, we need to check if it satisfies the condition ∂M/∂y = ∂N/∂x, where M and N are the respective coefficients of dx and dy.

Given the differential equation ($12338-17) + 2xyy' = 0, we can rewrite it as 9x^2 dx + (2xy - $12338-17) dy = 0. Comparing this to the form M dx + N dy = 0, we have M = 9x^2 and N = 2xy - $12338-17.

Taking the partial derivatives of M and N with respect to y, we have ∂M/∂y = 0 and ∂N/∂x = 2y. Since ∂M/∂y is not equal to ∂N/∂x, the differential equation is not exact.

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Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer:

Step-by-step explanation:

138

The process of researching and verifying information about a business opportunity is called due diligence.

Due diligence is a comprehensive process that involves thoroughly investigating and evaluating all relevant aspects of a business opportunity before making a decision. It is a crucial step to ensure that the information provided is accurate, complete, and reliable. The acquisition team plays a vital role in conducting due diligence by gathering and analyzing data, documents, and other relevant information about the business.

This includes assessing the financial statements, examining legal and regulatory compliance, scrutinizing contracts and agreements, evaluating the market potential, and conducting interviews with key stakeholders. The purpose of due diligence is to identify any potential risks, liabilities, or issues associated with the business and to verify the claims made by the seller. By conducting due diligence, Lamar and his team can make informed decisions and minimize the chances of unpleasant surprises or negative consequences arising from the business opportunity.

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Answer:

6t + 909

Step-by-step explanation:

t - tutor (hours)

101 - t = waitress (hours)

$15t + $9(101-t) = 15t + 909 - 9t

6t + 909

a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

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