Question 8 The derivative ds/dt of the function s = (tan^2 t – sec^2t) is O -1
O None of the other answers O 0 O-5 O 5(sec t – tan t)(tan^2 t – sec^2 t)^6

Answer:

No

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.

Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values ​​of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.

Multiple Linear Regression - Formula

Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈

Where:

Yi​ is the dependent or predicted variable

β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.

β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.

βp is the slope coefficient for each independent variable.

∈ is the model’s random error (residual) term.

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Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Answer: Any amount of milage more than 30

Step-by-step explanation: You can write an equation to compare the relationship between the costs that looks like:

102<75+0.9m

27=0.9m

m=30

Answer:

11 months

Step-by-step explanation:

Answer:11 Months

Step-by-step explanation:

Nine hundred divided 76 equals Months 900÷76=M

The point of intersection, P, between the given line and the plane is represented by the ordered triple (145/59, 301/59, 561/59).

To find the point of intersection, P, between the given line and the plane, we need to substitute the equations of the line into the equation of the plane and solve for the parameter, t.

The line is defined by the following parametric equations:

x = 2 + 9t

y = 5 + 2t

z = 9 + 10t

The equation of the plane is:

-5x + 8y - 3z = 0

Substituting the equations of the line into the plane equation, we get:

-5(2 + 9t) + 8(5 + 2t) - 3(9 + 10t) = 0

Simplifying this equation, we have:

-10 - 45t + 40 + 16t - 27 - 30t = 0

-45t + 16t - 30t - 10 + 40 - 27 = 0

-59t + 3 = 0

-59t = -3

t = -3 / -59

t = 3 / 59

Now that we have the value of t, we can substitute it back into the parametric equations of the line to find the coordinates of point P.

x = 2 + 9t

x = 2 + 9(3 / 59)

x = 2 + 27 / 59

x = (2 * 59 + 27) / 59

x = (118 + 27) / 59

x = 145 / 59

y = 5 + 2t

y = 5 + 2(3 / 59)

y = 5 + 6 / 59

y = (295 + 6) / 59

y = 301 / 59

z = 9 + 10t

z = 9 + 10(3 / 59)

z = 9 + 30 / 59

z = (531 + 30) / 59

z = 561 / 59

Therefore, the coordinates of point P, where the line intersects the plane, are (145/59, 301/59, 561/59).

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Answer:

as a compound inequality it would be -4 < x 7........ hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

d +   d

        _

        2

Answer:

1/6

Step-by-step explanation:

2/3 of the class has a dog, and 1/4 of the class has a cat. This means that some people will have both a cat and a dog.

You have to find the fraction of students who have both, so you have to multiply 2/3 and 1/4, 2*1 = 2, and 3*4 = 12, so the fraction is 2/12.

2/12 can be simplified to 1/6.

So, the amount of students in the class that have both a cat and a dog are 1/6.

Answer:

The answer is 1/6.

Answer:

760cm = 7.6m

2485m = 2.485km

3090g = 3.09kg

205ml = 0.205ml

It seems I only get 30 points, ah well.

The probability that the person's highest level of education is an undergraduate degree is 0.37.

The probability that the person's highest level of education is an undergraduate degree can be calculated by adding the probabilities of individuals with undergraduate degrees who take dietary supplements and who do not take dietary supplements. From the contingency table, the probability of an individual with an undergraduate degree taking dietary supplements is 0.09, while the probability of an individual with an undergraduate degree not taking dietary supplements is 0.28. Therefore, the total probability of an individual with an undergraduate degree is the sum of these probabilities, which is 0.09 + 0.28 = 0.37. Therefore, the probability that the person's highest level of education is an undergraduate degree is 0.37.
Contingency tables are used to display the distribution of one variable for different categories of another variable. In this case, the contingency table displays the distribution of the population of adults based on their highest level of education and whether they take dietary supplements or not. The table helps to identify any patterns or associations between the two variables. For instance, the table shows that individuals with higher levels of education are more likely to take dietary supplements.
Probability is a statistical measure of the likelihood of an event occurring. It ranges from 0 to 1, with 0 indicating impossibility and 1 indicating certainty. In this case, we use probability to determine the likelihood of an individual having an undergraduate degree based on the contingency table. The probability of an undergraduate degree was found by adding the probabilities of individuals with undergraduate degrees who take dietary supplements and those who do not take dietary supplements.

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Answer:

Greg

Step-by-step explanation:

Greg shows the correct description of Lisa's distance vs time graph .

A horizontal line on a distance-time graph shows that the object is stationary (not moving because the distance does not change) A sloping line on a distance-time graph shows that the object is moving.

According to the question

Graph titled Lisa's Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.

Lines are joined at the ordered pairs

(0, 0 )

( 1, 0.5 )

(1.5, 1)

(2, 2 )

( 3, 2)

( 4, 2)

(5, 3)

( 6, 4)

( 7, 5)

( 8, 6)

now , As per distance time graph  points

(0, 0 ) to (2, 2 ) .shows She drives at a variable speed for 2 minutes,

(2, 2 ) to ( 4, 2) shows then stops at a crossing for 2 minutes, (horizontal line)

( 4, 2) to ( 8, 6) finally drives at a constant speed for the next 4 minutes.(straight line shows uniform motion)

Hence, Greg shows the correct description of Lisa's distance vs time graph .

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Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

x = 15

B = 60

C = 90

Step-by-step explanation:

4x + 6x = 150

10x = 150

x = 15

Angle B

4x

4(15) = 60

Angle C

6x

6(15)

90

Diving the length AB into equal parts gives;

\(D→\left (4 \:,4.5\right) \)

\(E→\left (5 \:,4.75\right) \)

\(H→\left (8 \:,5.5\right) \)

\(I →\left (9 \:,5.75\right) \)

The number of equal parts obtained by counting are 8

Coordinates of point A is (2, 4)

Coordinates of point B is (10, 6)

Therefore;

Coordinates of point C is

\(\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right) \)

Coordinates of point D are;

\(\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right) \)

Coordinates of point E are;

\(\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right) \)

Coordinates of point F are;

\( \mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right) \)

Coordinates of point H are;

\(\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right) \)

Coordinates of point I are;

\(\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right) \)

Which gives;

\(D→\left (4 \:,4.5\right) \)

\(E→\left (5 \:,4.75\right) \)

\(H→\left (8 \:,5.5\right) \)

\(I →\left (9 \:,5.75\right) \)

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There are many ways to find f and g, so the composition of those is  (f o g)(x) = 4/(x² + 9).

A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.

Find f and g, so that                        

(f o g)(x)  =  4/x²+9                

Well, there is more than one possibility.                                                  

For instance, It can be:  f(x)  = 4/x  and  g(x) = x² + 9

and then you have                          

(f o g)(x)  =  f[ g(x) ]                    

(f o g)(x)  = 4/g(x)                      

(f o g)(x)  =  4/x²+9                                                      

Another possibility:   f(x)  =  4/x+9    and g(x) = x²

and for those, you get

(f o g)(x)  =  f[ g(x) ]              

(f o g)(x)  =   4/g(x)+9      

(f o g)(x)  =  4/x²+9                                                              

Since f and g can be found in a variety of ways, as you can see above, the composition of those is  (f o g)(x) = 4/(x² + 9).

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We find that the turbine generates approximately 735 kW of power in a 20 mi/h wind.

To determine the power generated by the turbine in a 20 mi/h wind, we can use the concept of wind power density. The power generated by a wind turbine is proportional to the cube of the wind speed. Therefore, we can use the following proportionality equation:

(P1/P2) = (V1^3/V2^3)

where P1 is the power generated at wind speed V1, P2 is the power to be determined at wind speed V2, and the wind speeds are measured in the same units.

Let's plug in the given values:

P1 = 210 kW (power generated in a 12 mi/h wind)

V1 = 12 mi/h (wind speed in the first scenario)

V2 = 20 mi/h (wind speed for which we want to find the power)

Using the proportionality equation, we can solve for P2:

(P1/P2) = (V1^3/V2^3)

(210/P2) = (12^3/20^3)

Cross-multiplying and solving for P2, we get:

P2 = (210 * 20^3) / 12^3

P2 ≈ 735 kW

Therefore, the turbine generates approximately 735 kW of power in a 20 mi/h wind.

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the gradients of each of the sides of the triangle are \(m_1=\frac{8}{5}, m_2=\frac{4}{-9} and m_3=-3\)

Given  vertices of triangle ABC are A(2,-3),B(7,5) and C(-2,9).

Let's find out the gradients of each side of the sides of the triangle using given points.

Formula for Gradient  using two points.

Gradient denoted by m.

Gradient can also called as slope.

First gradient using two points are A(2,-3) & B(7,5)

           \(m_1=\frac{y_2-y_1}{x_2-x_1}\)

           \(m_1=\frac{5-(-3)}{7-2}\)

           \(m_1=\frac{8}{5}\)

Second gradient using two points are B(7,5) & C(-2,,9)

            \(m_2=\frac{y_2-y_1}{x_2-x_1}\)

            \(m_2=\frac{9-5}{-2-7}\)

            \(m_2=\frac{4}{-9}\)

Third gradient using two points are   A(2,-3) & C(-2,9)

              \(m_3=\frac{y_2-y_1}{x_2-x_1}\)

              \(m_3=\frac{9-(-3)}{-2-2}\)

              \(m_3=\frac{12}{-4}\)

              \(m_3=-3\)

Therefore, the gradients of each of the sides of the triangle are \(m_1=\frac{8}{5}, m_2=\frac{4}{-9} and m_3=-3\)

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Answer:

Step-by-step explanation:

A is not graphed correctly. The graph is turned upside down from what it should be.

The given statement is true because Time series models are statistical models that analyze and predict future values based on patterns and trends observed in historical data. Option A

The underlying assumption of time series analysis is that the future values of a variable can be predicted based on its past behavior. By examining the historical data, time series models identify patterns, trends, and seasonal variations that can help forecast future values.

There are various types of time series models, including autoregressive integrated moving average (ARIMA), exponential smoothing models, and seasonal decomposition of time series (STL). These models use different mathematical techniques to capture and analyze different aspects of the time series data.

The main goal of time series analysis is to make accurate predictions or forecasts of future values. By leveraging the patterns and trends observed in the historical data, these models provide insights into potential future outcomes.

Time series models are widely used in fields such as economics, finance, meteorology, stock market analysis, and demand forecasting, among others.

Option A

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The answer should be the SAS postulate

Hope I answered in time!

Answer: The ball is 39 yards away from where it started

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

If the angles facing a side are different, the sides are never congruent

Answer:

\(\frac{-17}{6}\)

Step-by-step explanation:

Let x be the number we want to find.

First we analyze the given informations

Info 1 : Two times the sum of four times a number plus six

We translate this statement (info 1) mathematically as :  2×(4x + 6)

Info 2 : five less than twice the same number

We translate this statement (info 2) mathematically as : 2x - 5

Info 1 is the same as Info 2 ⇔ 2×(4x + 6) = 2x - 5

2×(4x + 6) = 2x - 5

⇔ 8x + 12 = 2x - 5

⇔ 8x - 2x = -5 - 12

⇔ 6x = - 17

⇔ x = -17/6

Answer:

36 cm

Step-by-step explanation:

rectangle perimeter = sum of all the side

10+8+10+8=36 cm

Answer:

Step-by-step explanation:

Perimeter =2(10+8)=36 cm.

Answer:

85x(500-0.10x)

Step-by-step explanation:

The numeric value of the function g(x) = (x² - 6)/(3x + 10) at x = 4 is given as follows:

g(4) = 5/11.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is defined as follows:

g(x) = (x² - 6)/(3x + 10)

The numeric value at x = 4 is found replacing each of the two instances of x by 4, hence:

g(4) = (4² - 6)/(3(4) + 10)

g(4) = 10/22

g(4) = 5/11.

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(a) The "bogus" or "mogreul" equation is obtained by replacing Y2t in (20.4.1) with its expression from (20.4.2) as follows:
\(Y1t = β10 + β11(β20 + β21Y1t) + γ11X1t + γ12X2t + u1t\)

Simplifying the above equation yields
\(Y1t = [β10/(1 - β11 β21)] + [(γ11)/(1 - β11 β21)]X1t + [(γ12)/(1 - β11 β21)]X2t + [(1/(1 - β11 β21))]u1t(20.4.3)\)

(b)
Stage 1: We regress Y2t on X1t and X2t as follows:
\(Y2t = λ10 + λ11X1t + λ12X2t + u2t\)
The resulting coefficient estimates are
\(λ^10, λ^11, and λ^12\).
\(Y2t = λ^10 + λ^11X1t + λ^12X2t (20.4.4)\)
Stage 2:
In this stage, we regress Y1t on the predicted value of Y2t and X1t and X2t. The two-stage least squares coefficient estimates of \(β^10, β^11, γ^11 and γ^12.\)
\(Y1t = β^10 + β^11Y2t + γ^11X1t + γ^12X2t + u1t\)
If the endogenous variable is correlated with the error term, the weighted least squares method will produce biased results. Hence, we use the two-stage least squares method instead.

we can use a weighted least squares method if the errors are homoscedastic and the endogenous variable is uncorrelated with the error term.

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Answer:

-6x+y=-4

Step-by-step explanation:

subtract 6x from both sides

Answer:

6 x-y=4 in standard form.

Step-by-step explanation: