Rosemary cut 3 wooden sticks to use as the sides of a triangle. Which list below could be the lengths, in inches, of the sticks Rosemary cut?

Answer:

Step-by-step explanation:

Given sides

Perimeter

The probability of choosing a car or a truck is P(Car) + P(Truck).

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The root of the equation sin(x) = 2 - 3 is x = 0, determined using the false position method.

To find the root of the equation sin(x) = 2 - 3 using the false position method, we need to perform iterations by updating the bounds of the interval based on the function values.

Let's define the function f(x) = sin(x) - (2 - 3).

First, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs. Since sin(x) has a range of [-1, 1], we can choose an initial interval such as [0, π].

Let's perform the iterations:

Iteration 1:

Calculate the value of f(a) and f(b) using the initial interval [0, π]:

f(a) = sin(0) - (2 - 3) = -1 - (-1) = 0

f(b) = sin(π) - (2 - 3) = 0 - (-1) = 1

Calculate the new estimate, x_new, using the false position formula:

x_new = b - (f(b) * (b - a)) / (f(b) - f(a))

= π - (1 * (π - 0)) / (1 - 0)

= π - π = 0

Calculate the value of f(x_new):

f(x_new) = sin(0) - (2 - 3) = -1 - (-1) = 0

Since f(x_new) is zero, we have found the root of the equation.

The root of the equation sin(x) = 2 - 3 is x = 0.

The root of the equation sin(x) = 2 - 3 is x = 0, determined using the false position method.

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Step-by-step explanation:

\(6x^2+60x+144\\\\6(x^2+10x+24)\)

You are looking for two numbers that add to 10 and multiply to 24:

6 + 4 = 10

6 * 4 = 24

so \(x^2 + 10x + 24 = (x+6)(6+4)\)

factored: \(6(x+6)(x+4)\)

The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Answer:

No

Step-by-step explanation:

These are NOT equivalent. If you expand the 2nd expression you get 27+23k which is close, but not the same.

Answer:

any equation with a 6 before the x

y=6x+b

Step-by-step explanation:

standard form is y=mx+b

m is the slope and b is y-intercept

Answer:

The water level decreased by 1/18 inches each hour.

Step-by-step explanation:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. Between 11 P.M. and 8:54 A.M.​, the water level in a swimming pool decreased by 11/20, for each hour it decreases by 33/554

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Given that,  Between 11 P.M. and 8:54 A.M.​, the water level in a swimming pool decreased by 11/20. Assuming that the water level decreased at a constant​ rate, we need to find the amount of water level drop each​ hour.

In an hour we will have sixty minutes.

We need to calculate the number of minutes between 11 pm and 8: 54 am.

The minutes between 11 P.M. and 8:54 A.M. is 594 minutes.

So in 554 min water level drop is 11/20.

So in 1 min=11/20×1/554

So in 60 min

We need to multiply with sixty

= 60(11/20×1/554)

We need to solve 60(11/20×1/554), we get

=3(11/554)

3 times of eleven  by five hundred fifty four.

=33/554

Hence 33/554  water level drop each​ hour when water level decreased at a constant​ rate.

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The given function is,

The graph of the g(x) will be shifted 3 units upward with respect to the parent function f(x),

Thus, the above figure is the graph of g(x).

Answer:

15

Step-by-step explanation:

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.

Answer:

Yes, because the P(A)P(B) = P(A and B)

Step-by-step explanation:

Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;

P(A and) = P(A)P(B)

Given: P(A) = watching a movie = 62% = 0.62

P(B) = going out to dinner = 46% = 0.46

The probability of watching a movie and going out to dinner will be

P(A and B)

P(A and B) = 0.62×0.46

P(A and B) = 0.2852

P(A and B) = 28.52%

Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.

Answer:

It is a trinomal because there is 3 terms

It is a quadratic because the highest degree is x^2

All in all, It is a Quadratic Trinomal

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.

Step-by-step Explanation:

The relationship between an intercepted arc and an inscribed angle is given as:

the measure of the intercepted arc = twice the inscribed angle that intercepts it.

Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.

Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.

Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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The monthly payment amount is approximately $129.45.

To find the payment amount and finance charge for the loan, we can use the formula for calculating monthly loan payments and finance charges.

The formula to calculate the monthly loan payment amount is given by:

\[ P = \frac{{r \cdot PV}}{{1 - (1+r)^{-n}}} \]

where:

P = monthly payment amount

r = monthly interest rate (APR divided by 12 months and 100 to convert it to a decimal)

PV = present value or loan amount

n = total number of payments

Given:

Loan amount (PV) = $4800

APR = 12%

Monthly payments (n) = 24

To calculate the monthly interest rate (r), we divide the annual percentage rate (APR) by 12 and convert it to a decimal:

\[ r = \frac{{12\%}}{{12 \cdot 100}} = \frac{{0.12}}{{12}} = 0.01 \]

Substituting the values into the formula, we have:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

Calculating this equation will give us the monthly payment amount.

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term (P * n).

Let's calculate these values:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - 0.62889499777}} \]

\[ P \approx \frac{{48}}{{0.37110500223}} \]

\[ P \approx 129.4532449 \]

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term:

Total amount paid = P * n

Total amount paid = $129.45 * 24

Total amount paid = $3106.80

Finance charge = Total amount paid - PV

Finance charge = $3106.80 - $4800

Finance charge = $-1693.20

The finance charge is approximately -$1693.20. The negative sign indicates that the borrower will be paying less than the loan amount over the loan term.

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The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

1) 4

2) 12

3)AB

Step-by-step explanation:

1) AC is 8, and since it bisects it is cut in 2

2) With the Pythagorean theorem, we know that side a² x side b² = side c²

so 4² x 9² = c² aka 16x9 = 144

square root bla bla, 12

3) as explained in 1) , it got cut into two, so AB = BC

The diameter of the circle is approximately 17.96 cm and its circumference is approximately 56.55 cm.

The formula for the area of a circle is A = πr², where A represents the area and r represents the radius of the circle. However, in this question, we are given the area of the circle directly, so we need to solve for the radius first.

A = πr² (divide both sides by π) A/π = r² (take the square root of both sides) √(A/π) = r

Now that we have the value of the radius, we can use the formula for the diameter of a circle, which is simply twice the value of the radius.

d = 2r (where d is the diameter)

Finally, we can use the formula for the circumference of a circle, which is given by:

C = 2πr (where C is the circumference)

Substituting the value of r that we found earlier, we get:

C = 2π(√(A/π))

Now we can plug in the given value of the area (201.06cm2) into this formula and solve for the diameter and circumference.

First, let's solve for the radius:

√(A/π) = √(201.06/π) ≈ 8.98 cm

Now we can solve for the diameter:

d = 2r = 2(8.98) ≈ 17.96 cm

Finally, we can solve for the circumference:

C = 2π(√(A/π)) = 2π(8.98) ≈ 56.55 cm

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A video game rental store charges a $5 one-time fee and then $4 per rental. Complete the table below:

video games                      $

1                          5 + 4(1) = $9

2                          5 + 4(2) = $13

3                          5 + 4(3) = $17

4                          5 + 4(4) = $21

5                          5 + 4(5) = $25

Answer:

4/9

Step-by-step explanation:

He ate 1/3 of what he found. 2/3 or the 2/3 were left in the fridge.

2/3 · 2/3 = 4/9

Fourth ninths of the pizza is in the fridge.

An equation to model the relationship between the number of weeks, x, and the number of site visits, f(x) is 4800 = a(1.5)^x.

He found that before launching the new marketing plan, there were 4,800 visits.

Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Over the course of the next 5 weeks, initial visitor at x = 0, 4800

Increasing factor = 1.5

Equation of the model is given as:

f(x) = a(b)^x

From the question b = 1.5

Now the equation of model is:

f(x) = a(1.5)^x

At x = 0, f(x) = 4800

Now the equation of the model is:

4800 = a(1.5)^x

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Step-by-step explanation:

Alright using pythagorean theorem, which i know you know, we can use these values

I'm assuming the question asks which one is a right triangle

Option C is the correct answer, being 9+16=25

The estimator 4/3x(3) is more effective than 4x(1) for estimating the parameter θ in the uniform distribution U(0, θ).

Let x1, X2, X3 obey uniform distribution U (0, θ), where θ is the upper limit. The task is to test whether 4/3x(3) or 4x(1) is more effective. The two tests can be defined as follows:

Test 1: 4/3x(3)Test 2: 4x(1)Let t1 be the test statistic for Test 1, and t2 be the test statistic for

Test 2. To determine which test is more effective, we need to calculate the power of each test. The power of a test is defined as the probability of rejecting the null hypothesis when it is false. In other words, it is the probability of correctly detecting a deviation from the null hypothesis. Suppose that the true value of θ is θ0, where θ0 > 0. Then, the distribution of the test statistics under the null hypothesis (i.e., when θ = θ0) is known. Using the formula for the mean and variance of the uniform distribution, we get: E[X] = θ/2, Var[X] = θ^2/12.

For Test 1, the test statistic is t1 = (4/3)*max(X1,X2,X3).Under the null hypothesis, the distribution of t1 is known to be the distribution of the maximum of three independent uniform random variables. Therefore, P(t1 > k) can be calculated as follows :P(t1 > k) = P(max(X1,X2,X3) > k*(3/4)) = 1 - (k*(3/4)/θ0)^3

For Test 2, the test statistic is t2 = 4*X1.Under the null hypothesis, the distribution of t2 is known to be a scaled chi-squared distribution with one degree of freedom. Therefore, P(t2 > k) can be calculated as follows: P(t2 > k) = P(4*X1 > k) = P(X1 > k/4) = 1 - (k/4θ0)For a given level of significance α, we can calculate the critical value of each test statistic as follows:

Test 1: k1 = (4/3)*c1Test 2: k2 = 4c2, where c1 and c2 are the critical values of the maximum of three independent uniform random variables and a scaled chi-squared distribution with one degree of freedom, respectively. The power of each test can then be calculated as follows:

Test 1: Power1 = P(t1 > k1 | θ = θ0 + δ), where δ is the deviation from the null hypothesis.

Test 2: Power2 = P(t2 > k2 | θ = θ0 + δ), where δ is the deviation from the null hypothesis. To determine which test is more effective, we need to compare the powers of the two tests for a given level of significance α and a given deviation δ from the null hypothesis.

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The information which the line of best fit predict about the increase in the minimum wage over the 70 year period is that: C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, an equation which represents the line of best fit include the following:

y = 0.096x - 0.488.

In this context, we can logically deduce that the initial minimum wage is  $0.488 and the average increase in minimum wage is equal to 0.096 dollars each year between 1940 and 2010.

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Answer:

if f(x)= -4x+3

f(-5)= 23

Step-by-step explanation:

first you substitute x for -5

f(-5)= -4(-5)+3

then you multiply

-4(-5)

f(-5)=20+3

you get the positive 20 because negative times negative equals positive

then you just add the rest (20+3) which will give you your answer

f(-5)= 23

This means that the central angle of the sector is \((2/5)(360)=144^{\circ}\)

Part i

\(\frac{144}{360} (\pi)(2)(7)=\frac{28\pi}{5} \text{ cm}\)

Part ii

\((\pi)(7^2) \frac{144}{360}=\frac{98\pi}{5} \text{ cm}^2\)

True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

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