3cb + 6c + c ( 3b - 6 )

Answer:

y = 70x + 150

Step-by-step explanation:

y-intercept: 150

slope: 70x

Let x represent the amount of hours the electrician spent in the house.

Answer:

C=150+70t

Step-by-step explanation:

In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.

The likelihood equation for X1,…,Xn i.i.d. from the Logistic(θ,1) distribution has a unique root.

For i.i.d. samples from the Logistic distribution, the likelihood equation has a unique root, implying that the maximum likelihood estimator (MLE) is unique. This result holds regardless of the sample size n.

To find the MLE for θ, we differentiate the log-likelihood function and solve for θ. The resulting equation has a unique root, indicating that the MLE is unique as well. This is a desirable property of the MLE, as it guarantees that the estimator is consistent and efficient.

Furthermore, the asymptotic distribution of the MLE θ^ is normal with mean θ and variance equal to the inverse of the Fisher information. This result holds for any sample size n, making the MLE a reliable estimator of θ.

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Answer:

7.171428571

Step-by-step explanation:

<3

To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:

So the hourly rate is $40.

Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:

So the initial fee is $15.

Answer:

Difference between Joyce's and her brothers age is 10 years.

Step-by-step explanation:

Let,

x be the age of Joyce

y be the age of her brother

According to given statement;

x+y=24       Eqn 1

y = 2x+3    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x+2x+3=24

3x=24-3

3x=21

Dividing both sides by 3

\(\frac{3x}{3}=\frac{21}{3}\\x=7\)

Putting x=7 in Eqn 2

y = 2(7) + 3

y = 14+3

y = 17

Difference = 17 - 7 = 10 years

Hence,

Difference between Joyce's and her brothers age is 10 years.

Answer:

Using the difference of squares formula, we have:

(r³ - 6t¹) (r³ + 6t¹) = r³ × r³ - r³ × 6t¹ - 6t¹ × r³ - 6t¹ × 6t¹

= r^6 - 36t²

Therefore, the expression in simplest form is r^6 - 36t².

Answer:

$54.50

Step-by-step explanation:

10% = 10/100

=545 × 10/100

=5450/100

=54.5

Answer:

red

Step-by-step explanation:

since her salary would be tripled you would put the s next to three to show you are multiplying it and since she gets an (ADD)itional 2000 you would add it to the 3S

Answer:

C is the correct answer

Answer:

24 the answer is 24

Step-by-step explanation:

that's because the (LCD) of 1/6 is 24

Answer:

1, 6, 11, and 16 in that order

Step-by-step explanation:

every time the x value increases by 1, the f(x) value increased by 5

Answer:

3:4

Step-by-step explanation:

12:16

divide by 4 on both sides

3:4

can't simplify any further

so therefore the answer is 3:4

a. The multiple regression model for predicting current salary is given by:

Current Salary = β0 + β1Beginning Salary + β2Previous Experience (in Months) + β3Total Years of Education.

The coefficients β0 to β3 can be determined using the least squares method.

b. The best model for predicting current salary can be determined by the t-value criterion. This involves fitting the model and evaluating the t-values for each coefficient to determine which ones are significantly different from zero.

The model with the highest t-values for the coefficients is then selected as the best model for predicting the current salary.

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Using the median as the measure, The closest answer choice is: a. 0 cm

To determine the difference in height between the freshmen and seniors using the median as the measure, we need to find the median heights for both groups and calculate the difference.

Let's first arrange the heights in ascending order for both freshman and senior years:

Freshman heights: 140, 150, 160, 170, 180, 190, 200, 210

Senior heights: 140, 150, 160, 170, 180, 190, 200, 210

Both groups have the same heights, so the median for both freshman and senior years is the same. The median is the middle value when the data is arranged in ascending order, and since both groups have an even number of data points, the median will be the average of the two middle values.

For the freshman heights, the middle two values are 170 and 180. Therefore, the median for freshman heights is (170 + 180) / 2 = 175 cm.

For the senior heights, the middle two values are also 170 and 180. Therefore, the median for senior heights is also (170 + 180) / 2 = 175 cm.

The difference in height between the freshmen and seniors is given by:

175 cm - 175 cm = 0 cm

So, the closest answer choice is:

a. 0 cm

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the answer is: (4,-3) and (-2,5).To find the inverse of a function, we need to switch the x and y values of the points on the original function.

So, for the points (-3,4) and (5,-2) on function f, their corresponding points on the inverse function g would be (4,-3) and (-2,5), respectively.

Therefore, the pair of points on function g would be:

(4,-3) and (-2,5)

We list the point with the lower x-value first as requested.

So, the answer is: (4,-3) and (-2,5).

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Answer:

(x+6)(x-3)

solve:

\(\sf x^2+3x-18\)

the least common multiple of 1 and 18 is 18 : 6 * 3

\(\sf x^2+6x-3x-18\)

breakdown

\(\sf x(x+6)-3(x+6)\)

build parenthesis

\(\sf (x-3)(x+6)\)

Answer:

Step-by-step explanation:

\(4x^2 + 9y^2 = 36\) is the rectangular form of the curve using parametric equations.

A set of equations known as a parametric equation expresses point coordinates in terms of one or more parameters. In other words, it establishes a connection between one or more variables that specify a point's or an object's location in space. Curves, surfaces, and other geometric shapes are frequently described using parametric equations. Due to their greater versatility in forming complicated shapes than conventional equations, they are excellent for visualising complex shapes and producing computer-generated visuals. In physics, engineering, and mathematics, parametric equations are frequently utilised because they offer a potent tool for modelling and analysing complicated systems.

To eliminate the parameter, we need to solve for the parameter (in this case, theta) in terms of x and y and then substitute that expression into the other equation.

From the first equation, we have cos(theta) = x/3.

From the second equation, we have sin(theta) = y/6.

We can use the Pythagorean identity \(sin^2(theta) + cos^2(theta) = 1\)to eliminate theta:

\(sin^2(theta) + cos^2(theta) = (y/6)^2 + (x/3)^2 = 1\)

Multiplying both sides by 36:

\(4x^2 + 9y^2 = 36\)

This is the rectangular form of the curve using parametric equations.

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Answer:

its F

Step-by-step explanation:

Its f since when you do the reflection on a grid you will get (1,-4)  No problem ;D

Answer:

2(5 + 6)

I hope this helps!

Answer:

10+12 = 2(5+6)

Step-by-step explanation:

because putting the 2 outside of the 5+6 is like 10+12 and thats equal to 2x(5+6)

Answer: 4xy²(5-y)

Step-by-step explanation:

To factorize, we must take out common multiples in both parts of the equation. Think of 20xy² and -4xy³ as two completely separate parts. Now, we need to see which parts of the equation are found in both. For instance, 4 can go into both, an x can go into both, and y² can go into both. Now, we simply factor.

Bring the similarities out to the front: 4xy²()

Now, use division to find what would be inside the parenthesis: 5 - y

Now, combine these two parts: 4xy²(5-y)

To check your work, you can simply multiply the outside of the parenthesis by the inside, and you should get the same as what you started with. Hope this helps!

Step-by-step explanation: i think it is 5000

The number of regular sodas served is 12.

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %. Percentage is a measure of frequency.

Number of regular sodas served = percentage of regular sodas served x number of sodas served

= 25% x 48

= 25/100 x 48 = 12

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A pair of intersecting lines that forms a pair of complementary angles is as drawn below.

Remember that complementary angles are defined as angles which sum is equal to 90°.

Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.

Thus, we have to draw two vertical angles that measure:

90° ÷2 = 45°

This image is as drawn below in the attached file.

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An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.

The inequality is given as:

\(x > 5\)

\(x > 5\) means x greater than 5

So, the verbal description is as follows:

The set of all real numbers greater than 5

To sketch \(x > 5\) on a number line, we consider the following:

See attachment for the sketch

To determine if the interval is bounded or not, we do the following.

\(x > 5\) means that the x starts at a value greater than 5, and the value of x has no end.

This is represented as: \((5,\infty)\)

Notice that 5 is at the right, while \(\infty\) is at the left.

This means that the interval is bounded (right bounded to be precise)

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The two simultaneous equations are 50x + 25y = 250 and x + y = 7

Simultaneous equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations

Assuming the bottle of soda has 50 grams of sugar in each bottle (since this information is not given). Let the bottles of soda bought be x and bottles of juice bought be y. Two equations will be formed so that we can solve them simultaneously.

50x = total amount of sugar in soda bottles

25y = total amount of sugar in juice bottles

50x + 25y = 250 (total amount of sugar in all bottles)

x + y = 7 (total number of bottles)

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Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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Answer:

is a. D.

Step-by-step explanation:

I hope you serve my answer and goodluck ^^