position to term rule of 2, 6, 10, 14, 18

multiply by _____ and subtract by _____

Answer:

(-4,0)

Step-by-step explanation:

Answer:

The answer is: 7/3 or if ya want it simplified ( 2 1/3)

~ hope this helped, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

2 and 1/3

Step-by-step explanation:

Answer:

34.166

Step-by-step explanation:

Mean=(Sum of all the numbers)/12=410/12=34.166

\(\huge\textsf{Hey there!}\)

\(\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}\)

\(\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}\)

\(\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}\)

\(\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 305 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 325 + 45 + 15 + 25}\)

\(\mathsf{= 370 + 15 + 25}\)

\(\mathsf{= 385 + 25}\)

\(\mathsf{= \bf 410}\)

\(\mathsf{= \dfrac{410}{12}}\)

\(\mathsf{\dfrac{410}{12} \approx \bf 34.1667}\)

\(\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.

The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.

Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.

Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.

So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.

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To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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Answer:

Deku x Todoroki

Step-by-step explanation:

um... dont hate on me but...

i ship BkDk (Bakugou x Deku) TwT

g(x)={((x^(2)-4)/(4x+8) for x!=-2),(k for x=-2):} Let g be the function defined above, where k is a constant. For g(x) to be continuous at x = -2, the value of k should be -1.

To determine the value of k for which g(x) is continuous at x = -2, we need to ensure that the left-hand limit and the right-hand limit of g(x) at x = -2 are equal and that the value of g(x) at x = -2 matches this common limit.

First, let's find the left-hand limit:

lim(x → -2-) g(x) = lim(x → -2-) ((x^2 - 4) / (4x + 8))

To evaluate this limit, we can substitute -2 for x in the expression:

lim(x → -2-) ((x^2 - 4) / (4x + 8)) = (-2^2 - 4) / (4(-2) + 8) = (4 - 4) / (-8 + 8) = 0 / 0

As we get an indeterminate form (0/0), we need to simplify the expression further. We can factor the numerator:

lim(x → -2-) ((x^2 - 4) / (4x + 8)) = lim(x → -2-) ((x - 2)(x + 2) / (4x + 8))

Now, we can cancel out the common factor of (x + 2):

lim(x → -2-) ((x^2 - 4) / (4x + 8)) = lim(x → -2-) ((x - 2) / 4)

Substituting -2 for x:

lim(x → -2-) ((x^2 - 4) / (4x + 8)) = (-2 - 2) / 4 = -4 / 4 = -1

The left-hand limit is -1.

Next, let's find the right-hand limit:

lim(x → -2+) g(x) = lim(x → -2+) ((x^2 - 4) / (4x + 8))

Again, we substitute -2 for x in the expression:

lim(x → -2+) ((x^2 - 4) / (4x + 8)) = (-2^2 - 4) / (4(-2) + 8) = (4 - 4) / (-8 + 8) = 0 / 0

We simplify the expression further:

lim(x → -2+) ((x^2 - 4) / (4x + 8)) = lim(x → -2+) ((x - 2)(x + 2) / (4x + 8))

Canceling out the common factor of (x + 2):

lim(x → -2+) ((x^2 - 4) / (4x + 8)) = lim(x → -2+) ((x - 2) / 4)

Substituting -2 for x:

lim(x → -2+) ((x^2 - 4) / (4x + 8)) = (-2 - 2) / 4 = -4 / 4 = -1

The right-hand limit is also -1.

For g(x) to be continuous at x = -2, the left-hand limit (-1) must equal the right-hand limit (-1) and match the value of g(x) at x = -2.

Therefore, we need to find the value of k that makes g(-2) = -1.

Substituting x = -2 into the expression for g(x):

g(-2) = k

So, we have k = -1.

Therefore, for g(x) to be continuous at x = -2, the value of k should be -1

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The function that models the average number of symptoms experienced by procrastinators at the beginning of the semester and their rate of increase per week can be represented as follows: f(x) = 0.8 + 0.45x

In this equation, "f(x)" represents the average number of symptoms, while "x" denotes the number of weeks into the semester. The initial value of 0.8 indicates the average number of symptoms reported at the beginning of the semester. The term "0.45x" represents the rate of increase, where 0.45 signifies the additional symptoms experienced per week. By plugging in the number of weeks into this function, one can estimate the average number of symptoms at a given point in time during the semester.

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Answer:

LOM= 66 and MON= 24

Step-by-step explanation:

I think

Answer:

<LOM=66,<MON=24

Step-by-step explanation:

(2x+46)+(3x-6)=90

2x+3x+46-6=90

5x+40=90

5x=90

x=10

2x+46=2*10+46=66

Answer:

Point A

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

i had this question on my quiz and got it right

Yes, The formula [(n+1)²/2] = [n²/n] + n holds true for any positive integer n.

To explain, when n is added to both sides of the equation, the left side becomes (n+1)²/2, while the right side becomes n²/n + n.

Simplifying the left side, (n+1)²/2 can be rearranged to n²/2 + n/2.

When n is added to both sides of the equation again, the left side becomes n²/2 + n/2 + n, which is equivalent to n²/2 + n + n/2, which is the same as the right side of the equation, n²/n + n. Therefore, the equation [(n+1)²/2] = [n²/n] + n is true.

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Answer:

(15 1/2 ) divided by 2/5= 38 3/4 miles per hour

The answer through which all the value of the given relation satisfied the relation is period decreases, frequency increases and reflected in y - axis.

What about frequency?

In mathematics, frequency is a term used in statistics to describe how often a particular value or set of values appears in a dataset. Specifically, frequency refers to the number of times a particular data point or value occurs in a dataset.

For example, consider a dataset of test scores for a class of students. The frequency of a particular score (e.g., 80%) would be the number of students who received that score. The frequencies can be used to create a frequency distribution, which is a table that shows the frequency of each value or group of values in a dataset.

According to the given information:

In the given condition as the value of B increases, the periodic function decreases and the frequency of the function increases where as, when the value of B is negative, the graph of the function reflected in y-axis.

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Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

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In a nonlinear optimization problem, the objective function or constraints (or both) contain at least one nonlinear term. Nonlinear terms are functions that cannot be expressed as a linear combination of the decision variables. Therefore, the objective function cannot be expressed as a simple sum of the decision variables, and the constraints cannot be expressed as linear equations or inequalities.

There are different types of nonlinear optimization problems, depending on the nature of the nonlinearities. For example, the objective function can be nonlinear even if all the constraints are linear. Alternatively, all the constraints can be nonlinear, but the objective function can be linear.

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Answer:

Step-by-step explanation:

Two additional polar representations of the point with coordinates (-4, 3π/2) within the interval [-2π, 2π] are (-4, 7π/2) and (4, 5π/2).

You find two additional polar representations of the point with polar coordinates (-4, 3π/2), keeping the angle in the interval [-2π, 2π].
First, let's understand that there can be multiple representations of a point in polar coordinates by adding or subtracting multiples of 2π to the angle while keeping the radius the same or by negating the radius and adding or subtracting odd multiples of π to the angle.
Representation 1:
Keep the radius the same and add 2π to the angle:
(-4, 3π/2 + 2π) = (-4, 3π/2 + 4π/2) = (-4, 7π/2)
Representation 2:
Negate the radius and add π to the angle:
(4, 3π/2 + π) = (4, 3π/2 + 2π/2) = (4, 5π/2)
So, two additional polar representations of the point with coordinates (-4, 3π/2) within the interval [-2π, 2π] are (-4, 7π/2) and (4, 5π/2).

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The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Given,An investment of $50,000 in property taxes and rental income received of $800 per month, annual taxes of $1,500 paid monthly for four years.

We need to calculate the Return on Investment (ROI).Let us begin with calculating the total amount of rental income received by multiplying the monthly rental income by 12 and then multiplying the resultant by 4, as it is for 4 years. Rental income received= 12 × 4 × 800 = $38,400

Now, let us calculate the total amount of taxes paid by multiplying the annual taxes by 4. Annual taxes = $1,500Total taxes paid

= 4 × $1,500

= $6,000Now, let us calculate the ROI. ROI

= (Total rental income received − Total expenses)/Total investment

= (38,400 − 6,000)/50,000

= 32,400/50,000

= 0.648 or 64.8%

The ROI for the investment is 64.8%. Hence, e. 4.25% is the correct option.

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Given the measures of the angle, the measure of angle A is 109 degrees

We have,

A supplementary angles are angles that add up to 180 degrees. For example 100 and 80 degrees are supplementary angles.

The first step is to determine the value of x:

(4x + 3) + (8x - 27) = 180

12x - 24 = 180

12x = 180 + 24

12x = 204

x = 17

so, we get,

A = 8(17) - 27

  = 109 degrees

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complete question:

∠A and \angle B∠B are supplementary angles. If m\angle A=(8x-27)^{\circ}∠A=(8x−27)

∘

and m\angle B=(4x+3)^{\circ}∠B=(4x+3)

∘

, then find the measure of \angle A∠A.

The project is performing well at the end of WEEK 7.

1. The planned value (PV) at the end of WEEK 7 is $30,000.
2. The earned value (EV) at the end of WEEK 7 is $30,000.
3. The actual cost (AC) at the end of WEEK 7 is $30,000.
4. The cost variance (CV) at the end of WEEK 7 is $0.
5. The schedule variance (SV) at the end of WEEK 7 is $0.
6. The cost performance index (CPI) at the end of WEEK 7 is 1.0 (CV/AC).
7. The schedule performance index (SPI) at the end of WEEK 7 is 1.0 (EV/PV).
8. At the end of WEEK 7, this project is performing according to the plan. The CPI and SPI are both equal to 1.0, indicating that the project is on track in terms of cost and schedule. The cost variance (CV) and schedule variance (SV) being zero further support this conclusion, as it means that the project is meeting its planned budget and schedule.

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Answer:

4=distributive property

5=subtraction property of equality

6=addition property of equality

7 = -11=x

8= x=11

Answer:

b

Step-by-step explanation:

Answer:

k=1

Step-by-step explanation:

\(3k + 8 = 11\\\)

Subtract 8 from both sides

\(3k = 3\)

Divide

\(\frac{3k}{3} = \frac{3}{3}\)

Simplify

\(k =1\)

Answer:

k=1

Step-by-step explanation:

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

the rate is +2

starting value is -4

equation:

y = x*2-4

Step-by-step explanation:

The statistical method that would be best to use in this situation is b) Regression analysis.

Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.

Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.

Hence the answer is Regression analysis.

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