8x + 11y = –16 Write your answer using integers, proper fractions, and improper fractions in simplest form.

The total sale after 15 months is 30 million and the rate of change in total sales every month is 2√10 million dollars.

A)The total sale after 15 months is given by S(15)=2√10*15=30 million dollars and the derivative of S(15) is S'(15)=2√10. This means that after every month, the total sale increases by 2√10 million dollars.

B) To estimate the total sale after 16 months and 17 months, we can use the result from part (a). The total sale after 16 months is S(16)=2√10*16=32 million dollars and the total sale after 17 months is S(17)=2√10*17=34 million dollars. Therefore, the rate of change in total sales every month is 2√10 million dollars.

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A company's total sales (in millions of dollars) t month from now are given by S(t)=2√10 a) Find S(15) and S’(15) Write a brief verbal interpretation of thee result. B) Use the result in part (a) to estimate the total ale after 16 months and after 17 months

The solution for x of the expression 3x - 4 + 6x = 112 is given as follows:

x = 12.89.

The expression for this problem is defined as follows:

3x - 4 + 6x = 112

The first step is combining the like terms at the left side of the expression, hence:

3x + 6x = 9x.

Then the expression is given as follows:

9x - 4 = 112.

Isolating the variable x, the solution for x of the expression is given as follows:

9x = 116

x = 116/9

x = 12.89.

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Let v be the times visited:

Answer: 50 = 10 +4(v)

40 = 4(v)

10 = v

10 visits

please give me brainliest. ty!

The "data view" of a dataset with two groups that each contain 40 people will have 80 rows.

A data set is a collection of data that is organized and processed to provide useful information. In a data set, each row represents a single observation or record. In the case where a data set contains two groups, each group represents a separate set of observations or records.

If each group has 40 people, this means that there are 40 separate observations or records in each group. Therefore, the total number of rows in the "data view" of the data set will be equal to the sum of the number of rows in each group, which is 40 + 40 = 80.So, the "data view" of a data set with two groups that each have 40 people will have 80 rows, with each row representing a single observation or record from one of the two groups.

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Answer: 50 miles man

Step-by-step explanation: im just that guy

By applying the unit of time concept, it can be concluded that the order from the shortest to longest work time is Rafael, Leanne, and Ray.

A unit of time is a specific time interval, which is used as a standard way of measuring or expressing duration.

Units of time that are often used daily are hours, minutes, and seconds, where 1 hour = 60 minutes and 1 minute = 60 seconds

A report on workout time is displayed as follows:

Name           Time

Rafael           75 minutes

Ray               1 3/4 hours

Leanne         1 hour 25 minutes

To sort names based on their workout time, we must first equate the time unit. For this case, we want to make them all in minutes.

Rafael: 75 minutes

Ray: 1 3/4 hours = 60 + (3/4 * 60)

                          = 60 + 45

                          = 105 minutes

Leanne: 1 hour 25 minutes = 60 + 25

                                             = 85 minutes

Thus the order from the shortest to longest work time is Rafael, Leanne, and Ray.

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The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.

The interest rate is 8% per year, so the interest rate per quarter is 8%/4= 2%.

The value of the CD at the end of each quarter can be calculated using the formula:

CD value at end of quarter = CD value x (1 + interest rate per quarter)

For example, at the end of the first quarter, the CD value would be:

CD value at end of first quarter = $3000 x (1 + 0.02) = $3060

You can repeat this process for each quarter to find the CD value at the end of 5 years.

After 5 years, there will have been 20 quarters (15 years x 4 quarters per year), so the CD value at the end of 15 years will be:

CD value at end of 15 years = $3000 x (1 + 0.02)⁶⁰ = $9843.09

To find the value of the CD if it is compounded annually for 15 years, we can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:

CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01

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The candle will take nearly 33.2 minutes to burn out completely at the same rate.

To find the time that will take the candle to burn out completely, we have to calculate the total length of the candle and divide it by the rate at which the candle is burning.

Let us take the time it takes to burn the whole candle = T.

The total length of the candle = 22 cm.

The burning rate of the candle is 22 cm - 5.5 cm = 16.5 cm per 11 minutes.

So, T = 22 cm / (16.5 cm/11 minutes) = 22 cm * 11 minutes / 16.5 cm = 33.2 minutes.

Therefore, the candle will take nearly 33.2 minutes to burn out completely at the same rate.

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No, the set s is not a basis for R3. A basis for R3 must contain three linearly independent vectors.

The set s only has three vectors, but these vectors are not linearly independent. To determine linear independence, we can take the set of vectors and put them into a matrix, then reduce the matrix to reduced row echelon form.

Let A be the matrix whose columns consist of the vectors in s:

A =

[tex]\begin{bmatrix} 0 & 4 & -8 \\ 4 & 0 & 20 \\ -1 & 3 & -11\end{bmatrix}[/tex]

When A is reduced to row echelon form, we see that the third row of A is a linear combination of the first two rows. This means that the vectors in s are linearly dependent, and thus s is not a basis for R3.

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The equation of the graph which is horizontally compressed is[tex]y=1-125x^3[/tex].

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given graph equation is y = 1-[tex]x^3[/tex] .

We know that when the graph f(x) compressed horizontally by a factor of C, then the transformed graph is given by the function f(Cx). Then

So, when the graph [tex]y=1-x^3[/tex] is compressed horizontally by a factor of 5 then,

=> y = [tex]1-(5x)^3[/tex]

=> [tex]y=1-125x^3[/tex]

Hence the compressed graph is  [tex]y=1-125x^3[/tex].

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The present value of $10,000 per year in perpetuity at an interest rate of 10% is $100,000. Therefore, correct answer will be B.$100,000.

This is because the present value of an annuity, or a series of payments, is equal to the sum of the present value of each payment. In this case, the payment is $10,000 and the interest rate is 10%. Therefore, the present value of each payment is $10,000/(1+0.1)^1, which is $9,090.

Since the payments are perpetual, the present value of the annuity is equal to the present value of each payment multiplied by the number of payments, which is infinite. Therefore, the present value of the annuity is $9,090 multiplied by infinity, which is $100,000.

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The cost of labor for The technician at the tore worked on the computer for 4. 25 hour and charged him $ 141 for part was $95.

Lamonte needed to get hi computer fixed.

The technician at the tore worked on the computer for 4. 25 hours so

t= 4.25

Based on the formula,

Charge for Total - charge for Part

=Charge of Labor =544.75 - 141 = 403.75

Therefore, 403.75/ 4.25 will give us the value for a single time T hours.

Calculate the sum or difference:

403.75/4.25

Multiply both the numerator and denominator with the same integer:

40375/425

Cross out the common factor:

$95

A component of the wage bill or payroll known as direct labour cost can be specifically and regularly ascribed to or related with the production of a good, a specific job order, or the delivery of a service. Additionally, we might say that it is the price of the labour performed by those employees who actually create the product on the assembly line.

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Using the definition of a triangle's incenter, the measurements in the triangle ABC, where G is the incenter, are as follows: GC = 20.4

Triangle ABC's measurements are as follows using the concept of a triangle's incenter:

[tex]- $\mathrm{m} \angle \mathrm{ABG}=20^{\circ}$[/tex]

[tex]- $\mathrm{m} \angle \mathrm{BCA}=22^{\circ}$[/tex]

[tex]- $\mathrm{m} \angle \mathrm{BAC}=118^{\circ}$[/tex]

[tex]- $\mathrm{m} \angle \mathrm{BAG}=59^{\circ}$[/tex]

DG = 4

BE = 10.99

BG = 11.7

GC = 20.4

The intersection of the three angle bisectors, which split each angle vertex into two, defines the incenter of a triangle.

The incenter is a point that is at a right angle and equally distant from each of the triangle's three sides.

The measurements in the image can be determined as indicated below by applying the aforementioned properties.

- Given:

[tex]& m \angle E B G=20^{\circ} \\[/tex]

[tex]& m \angle E C G=11^{\circ} \\[/tex]

CF = 20

EG = 4

BD = 11

Find [tex]$m \angle A B G$[/tex]

[tex]$m \angle A B G=m \angle E B G$[/tex]  (angle bisector definition)

- Substitute

[tex]\mathrm{m} \angle \mathrm{ABG}=20^{\circ}$$[/tex]

Find [tex]$m \angle B C A$[/tex] :

[tex]$m \angle B C A=2(m \angle E C G)$[/tex] (angle bisector definition)

- Substitute

[tex]& m \angle B C A=2(11) \\[/tex]

[tex]& \mathbf{m} \angle \mathbf{B C A}=\mathbf{2 2}^{\circ}[/tex]

Find [tex]$m \angle B A C$[/tex]

[tex]$m \angle B A C=180-(m \angle C B A+m \angle B C A)$[/tex] (sum of triangle definition)

- Substitute

[tex]& m \angle B A C=180-(40+22) \\[/tex]

[tex]& \mathbf{m} \angle \mathbf{B} \mathbf{A C}=\mathbf{1 1 8}^{\circ}[/tex]

Find [tex]$m \angle B A G$[/tex]

[tex]$m \angle B A G=\frac{1}{2}(m \angle B A C)$[/tex]  (angle bisector definition)

- Substitute

[tex]& m \angle B A G=\frac{1}{2}(118) \\[/tex]

[tex]& \mathrm{m} \angle \mathbf{B A G}=\mathbf{5 9}^{\circ}[/tex]

Find DG :

DG = EG (Perpendicular bisectors of the sides of a the triangle are equal in length from the incenter of a triangle) (Perpendicular bisectors of the sides of a the triangle are equal in length from the incenter of a triangle)

- Substitute

DG = 4

Find BG:

[tex]$B G=\sqrt{B D^2+D G^2}$[/tex] (Pythagorean Theorem)

- Substitute

[tex]& B G=\sqrt{11^2+4^2} \\[/tex]

[tex]& B G=\sqrt{137} \\[/tex]

[tex]& \mathbf{B G}=11.7[/tex]

Find BE :

[tex]B E=\sqrt{B G^2-E G^2}[/tex] (Pythagorean Theorem) }

- Substitute

[tex]& B E=\sqrt{11.7^2-4^2} \\[/tex]

[tex]& B E=\sqrt{120.89} \\[/tex]

[tex]& \mathbf{B E}=\mathbf{1 0 . 9 9}[/tex]

Find GC:

[tex]$G C=\sqrt{C F^2+F G^2}$[/tex] (Pythagorean Theorem)

- Substitute

[tex]$$ GC=\sqrt{20^2+4^2}[/tex]

[tex]G C=\sqrt{416}[/tex]

GC = 20.4

In conclusion, using the definition of a triangle's incenter, the measurements of triangle ABC, where G is the incenter, are as follows:

[tex]- $\mathrm{m} \angle \mathrm{ABG}=20^{\circ}$[/tex]

[tex]- $\mathrm{m} \angle \mathrm{BCA}=22^{\circ}$[/tex]

[tex]- $\mathrm{m} \angle \mathrm{BAC}=118^{\circ}$[/tex]

[tex]- $\mathrm{m} \angle \mathrm{BAG}=59^{\circ}$[/tex]

DG = 4

BE = 10.99

BG = 11.7

GC = 20.4

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The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

Let's call the number of men in the population "m" and the number of women in the population "w". We know that m = 2w and that 2.3% of men have night blindness and 2.8% of women have night blindness.

Let's call the probability that a randomly chosen person with night-blindness is a woman "P(Woman)". We want to find the value of P(Woman).

We can use Bayes' Theorem to solve for P(Woman). Bayes' Theorem states that:

P(A | B) = P(B | A) * P(A) / P(B)

where P(A | B) is the probability of event A given that event B has occurred, P(B | A) is the probability of event B given that event A has occurred, P(A) is the probability of event A, and P(B) is the probability of event B.

In this case, A is the event that the person chosen is a woman and B is the event that the person chosen has night-blindness. So, P(A) is the probability that a randomly chosen person is a woman and P(B) is the probability that a randomly chosen person has night-blindness.

P(A) can be calculated as follows:

P(A) = w / (m + w) = w / (2w + w) = w / (3w) = 1/3

P(B) can be calculated as follows:

P(B) = (2.3% * m + 2.8% * w) / (m + w) = (2.3% * 2w + 2.8% * w) / (3w) = (4.6% + 2.8%) * w / (3w) = 7.4% / 3

Next, we need to find P(B | A), which is the probability that a randomly chosen person has night-blindness given that the person chosen is a woman. We know that 2.8% of women have night-blindness, so:

P(B | A) = 2.8%

Finally, we can use Bayes' Theorem to find P(A | B), which is the probability that a randomly chosen person is a woman given that the person chosen has night-blindness:

P(A | B) = P(B | A) * P(A) / P(B) = 2.8% * 1/3 / (7.4% / 3) = 0.28 / 0.074 = 3.78

So, the probability that a person chosen at random from the population and known to have night blindness is a woman is approximately 3.78, or 378%.

Therefore, The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

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The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

Let's call the number of men in the population "m" and the number of women in the population "w". We know that m = 2w and that 2.3% of men have night blindness and 2.8% of women have night blindness.

Let's call the probability that a randomly chosen person with night-blindness is a woman "P(Woman)". We want to find the value of P(Woman).

We can use Bayes' Theorem to solve for P(Woman). Bayes' Theorem states that:

P(A | B) = P(B | A) * P(A) / P(B)

where P(A | B) is the probability of event A given that event B has occurred, P(B | A) is the probability of event B given that event A has occurred, P(A) is the probability of event A, and P(B) is the probability of event B.

In this case, A is the event that the person chosen is a woman and B is the event that the person chosen has night-blindness. So, P(A) is the probability that a randomly chosen person is a woman and P(B) is the probability that a randomly chosen person has night-blindness.

P(A) can be calculated as follows:

P(A) = w / (m + w) = w / (2w + w) = w / (3w) = 1/3

P(B) can be calculated as follows:

P(B) = (2.3% * m + 2.8% * w) / (m + w) = (2.3% * 2w + 2.8% * w) / (3w) = (4.6% + 2.8%) * w / (3w) = 7.4% / 3

Next, we need to find P(B | A), which is the probability that a randomly chosen person has night-blindness given that the person chosen is a woman. We know that 2.8% of women have night-blindness, so:

P(B | A) = 2.8%

Finally, we can use Bayes' Theorem to find P(A | B), which is the probability that a randomly chosen person is a woman given that the person chosen has night-blindness:

P(A | B) = P(B | A) * P(A) / P(B) = 2.8% * 1/3 / (7.4% / 3) = 0.28 / 0.074 = 3.78

So, the probability that a person chosen at random from the population and known to have night blindness is a woman is approximately 3.78, or 378%.

Therefore, The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

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Answer: g(0) = 4

Step-by-step explanation:

Given that, g(x) = 3 + x + ex

g'(x) = 1 + ex > 0

⇒ g(x) is an increasing function.

g(0) = 3 + 0 + e0

g(0) = 3 + 1

g(0) = 4

When g(0) = 4, the inverse of the function g(x) = 3 + x + e^x is g^-1(4) = 0.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity. A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2.

Here,

Given that, g(x) = 3 + x + e^x

g'(x) = 1 + e^x > 0

g(x) is an increasing function.

g(0) = 3 + 0 + e^0

g(0) = 3 + 1

g(0) = 4

g^-1(4) = 0

The inverse of function g(x) = 3 + x + e^x is g^-1(4) = 0 when g(0) = 4.

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Answer:

x° = 54

y = 14

Step-by-step explanation:

Sum of interior angles of a triangle = 180, therefore:

79 + 16 + m∠P = 180

m∠P = 180 - 79 - 16 = 54

m∠RPQ = m∠UST = x° = 54°

64/16 = 28/(y-7)    solve for y:

64(y-7) = (28)(16) = 448

y - 7 = 448/64 = 7

y = 7 + 7 = 14

To get the measure of side NO of the rectangle LMNO, you will only need to divide side N'O' by the scale factor of 6. Then you'll get 4, which is the actual measure of side NO.

Dilation in math means changing the size of an object without changing its shape. The size of the object may be decreased or increased based on the scale factor. For instance, you can dilate a square of side 10 units to a square of side 15 units, but the shape remains the same.

We use dilation to expand and contract two-dimensional or three-dimensional shapes in geometry.

We're given a rectangle LMNO dilated by a scale factor of 6 to form rectangle L'M'N'O' and side N'O' measures 24. The measure of side NO can be found by dividing the measure of side N'O' by the scale factor. 26 : 6 = 4, so 4 is the measure of side NO.

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After 160 days, approximately 873 grams of the radioactive cerium would be left.

The half-life of the radioactive cerium is 32 days, so after each 32-day interval, half of the remaining amount will decay.

We can use this information to determine the amount remaining after 160 days.

After the first 32 days, the amount of cerium left would be 57,728 grams * (1/2) = 28,864 grams.

After the second 32 days, the amount of cerium left would be 28,864 grams * (1/2) = 14,432 grams.

Continuing this process, after 160 days, the amount of cerium left would be:

57,728 grams * (1/2)^(160/32) ≈ 873 grams

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The number of points on the curve is (a) None

From the question, we have the following parameters that can be used in our computation:

x^2/5 y^2/5 = 1

For the equation x^2/5 - y^2/5 = 1, the slope of the curve at any point is the derivative of y with respect to x,

However, the derivative of y with respect to x will never be equal to 0, which means that the curve will never have a tangent line that is horizontal.

Hence, the answer is A. None.

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The general solution of the differential equation is given by: [tex]y(x) = c1*sin(2x) + c2*cos(2x) + c3*x + c4*cos(x) + c5*sin(x) + c6*x^2[/tex]

1. The equation is of the form y” + 4y = f(x), which is a second order linear differential equation with constant coefficients.

2. By the principle of superposition, the general solution of the equation is the sum of the solutions of the homogeneous equation y” + 4y = 0 and the particular equation y” + 4y = f(x).

3. The homogeneous equation has two linearly independent solutions, [tex]y1 = sin(2x) and y2 = cos(2x)[/tex]

4. The particular equation has three linearly independent solutions, [tex]y3 = x, y4 = cos(x) and y5 = sin(x).[/tex]

5. Hence, the general solution of the equation is[tex]y(x) = c1*sin(2x) + c2*cos(2x) + c3*x + c4*cos(x) + c5*sin(x) + c6*x^2[/tex], where c1, c2, c3, c4, c5 and c6 are arbitrary constants.

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The monthly payment is  $167.85.

The correct option is C.

The formula:

PV = PMT/i[1 - {1/(1+i)ⁿ]

PV denotes the loan sum.

PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)

Given:

A credit card holder owes $5,498 on a credit card with a 26.99% interest rate compounded monthly.

Assuming no additional purchases are made with the card.

PV = 5498

n = 60

i = 0.2699/12 = 0.02

PMT={PVi(1+i)ⁿ}/{(1+i)ⁿ−1}

PMT = {5498(0.02)(1 + 0.02)⁶⁰/{(1 + 0.02)⁶⁰ - 1}

PMT = $167.85

Therefore, PMT = $167.85

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All the components of the question are solved below.

(a) 2πd is not a valid expression to calculate a distance because d is not a distance, it is a position.

(b) x+Δr could be a valid expression to calculate a distance because x is a distance and Δr is a position difference, so their sum is also a distance.

(c) x+y2 is not a valid expression to calculate a distance because the units of x and y2 are not consistent with each other.

(d) x2+y2 is a valid expression to calculate a distance because both x and y are distances and their sum squared represents the Pythagorean theorem, which is commonly used to calculate distances in physics.

(e) A+z is not a valid expression to calculate a distance because A is an area and z is a distance, so their sum does not have a physical interpretation as a distance.

(f) vΔt2 is not a valid expression to calculate a distance because v is a velocity and Δt is a time difference, so their product does not have a physical interpretation as a distance.

(g) aΔt2 is a valid expression to calculate a distance because a is an acceleration and Δt is a time difference, and their product represents the displacement of an object under constant acceleration, which is a distance.

Therefore, all the components of the question are solved above.

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(a)The number of students who were undergraduates, living off campus, or both is 42

(b)The number of students who were undergraduates living on campus is 33

(c)The number of graduate students living on campus is 18

What is Sample?

A sample is a subset of people drawn from a larger group. Sampling is the process of identifying the group from which you will gather data for your research. For example, if you want to learn about the thoughts of students at your university, you may poll 100 of them.

Let us define the following sets:

S = The sample space of the students in the survey

O = The students living off campus

U = Undergraduate students

According to the question, we have:

n(s) = 60

n(o) = 9

n(u) = 36

n (u ∩ o) = 3

a) The number of students who were undergraduates, living off campus, or both is given by:      

n (u ∪ o) = n(u) + n(o) - n(u ∩ o)

36 +9-3

n (u ∪ o) = 42

b) The number of students who were undergraduates living on campus is given by:

n (u ∩ o) = n(u) - n(∩ o)

=36-3

=33

c) The number of graduate students living on campus is given by:

n (u ∩ o) =  n(∩ o)

n(s) - n (u ∪ o)

=62-42

=18

(a)The number of undergraduate students living off campus or both is 42. (b)The number of undergraduate students living on campus is 33.

(c)The number of graduate students living on campus is 18.

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(a)The number of students who were undergraduates, living off campus, or both is 42

(b)The number of students who were undergraduates living on campus is 33

(c)The number of graduate students living on campus is 18

What is Sample?

A sample is a subset of people drawn from a larger group. Sampling is the process of identifying the group from which you will gather data for your research. For example, if you want to learn about the thoughts of students at your university, you may poll 100 of them.

Let us define the following sets:

S = The sample space of the students in the survey

O = The students living off campus

U = Undergraduate students

According to the question, we have:

n(s) = 60

n(o) = 9

n(u) = 36

n (u ∩ o) = 3

a) The number of students who were undergraduates, living off campus, or both are given by:      

n (u ∪ o) = n(u) + n(o) - n(u ∩ o)

36 +9-3

n (u ∪ o) = 42

b) The number of students who were undergraduates living on campus is given by:

n (u ∩ o) = n(u) - n(∩ o)

=36-3

=33

c) The number of graduate students living on campus is given by:

n (u ∩ o) =  n(∩ o)

n(s) - n (u ∪ o)

=62-42

=18

(a)The number of undergraduate students living off campus or both is 42. (b)The number of undergraduate students living on campus is 33.

(c)The number of graduate students living on campus is 18.

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The only ordered pair that can be included in the given set and yet have it represent a function is (-3, -6), or (3, 6).

vast quantities and their modifications, equations and parts, shapes and their placements, and locations where they can found are all included in the study of mathematics. The relationship between a group of inputs, each of which has a collective agreements, is referred to as a "function." A utility is a linkage between both inputs and outputs where each input produces a single, unique result. Every function has a domain but a codomain, often termed as a scope. F is typically utilised denote functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, another functions, so several functions, within functions, and then on functions.

given

A value of x cannot have two outputs, or y-values, therefore start by using the process of elimination to eliminate the response options where the x coordinates have already been utilized in the relation. You now have two choices.

(-2, 2), (-1, 1), (0, 0), (1, 1), (2, 2)

so ( -3 , -6), ( 3, 6 ) as it has both different values of x and y .

The only ordered pair that can be included in the given set and yet have it represent a function is (-3, -6), or (3, 6).

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The types of triangles that describe the park, that is, Triangle ABC are:

An equilateral triangle is a triangle where all three sides are equal in length. An isosceles triangle is a triangle where two sides are equal in length.

A scalene triangle is a triangle where all three sides have different lengths. A right triangle is a triangle where one of the angles measures 90 degrees. An acute triangle is a triangle where all angles measure less than 90 degrees. An obtuse triangle is a triangle where one of the angles measures more than 90 degrees.

For example, if the park outline is a triangle with all three sides of equal length, then the triangle would be an equilateral triangle. If the park outline is a triangle with one angle measuring more than 90 degrees, then the triangle would be an obtuse triangle.

Complete Question:

"Triangle ABC makes the outline of a new park. Select all the types of triangles that describe the park?"

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Answer: 11.25 kmph or 6.99 mph

Step-by-step explanation:

take the speed equation s=d/t (speed equals distance over time)

s=72/6.4 (15 min is 0.4 of an hour)

your final answer will be S= 11.25 kilometers per hour or 6.99 miles per hour

x = -3.1, -3.01, -3.001, -2.999, -2.99, -2.9; f(x) undefined, undefined, undefined, 2.8069, 2.8068, 2.8067 respectively.

A function is a mathematical object that assigns a unique output (or "value") to each input in its domain. It is a rule that takes an input (or "argument"), performs some operations on it, and returns a corresponding output. Functions are often written using the notation f(x), where x is the input, and f(x) is the corresponding output. For example, the function f(x) = x^2 maps the input value x to its square. Functions are a key concept in mathematics and are used to model various phenomena in science, engineering, economics, and more.

To complete the table, we need to evaluate f(x) for each value of x:

x -3.1 -3.01 -3.001 -2.999 -2.99 -2.9

f(x) undefined undefined undefined 2.8069 2.8068 2.8067

We can see that f(x) is undefined when x = -3.1, -3.01, and -3.001 because the square root of a negative number is undefined. For other values of x, we can evaluate f(x) by plugging in the values and simplifying:

f(-2.999) = (-2.999 + 3)/√(1 - (-2.999) - 2) = 0.001/√0.999 = 0.001/0.999 = 0.001 * (1/0.999) = 0.001 * 1.001 = 0.001001

Similarly, we can find f(-2.99) and f(-2.9) as follows:

f(-2.99) = (-2.99 + 3)/√(1 - (-2.99) - 2) = 0.01/√0.99 = 0.01/0.9950 = 0.01 * (1/0.9950) = 0.01 * 1.0050 = 0.01005

f(-2.9) = (-2.9 + 3)/√(1 - (-2.9) - 2) = 0.1/√0.9 = 0.1/0.9487 = 0.1 * (1/0.9487) = 0.1 * 1.0543 = 0.10543

So, rounding the results to four decimal places, we have:

x -3.1 -3.01 -3.001 -2.999 -2.99 -2.9

f(x) undefined undefined undefined 2.8069 2.8068 2.8067

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We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/π), π/2 radians= π/2 × (180°/π) = 90° or 90 degrees. Therefore sinπ/2 = sin (90°) = 1. The Value of sinπ/2 is given as 1.

When an algebraic expression is evaluated, the value of the expression is determined when the variable is replaced by a given number.

To evaluate an expression, we substitute the given number for the variable in the expression, then simplify it using the order of operations.

Evaluation is a method of studying a program, practice, intervention, or initiative in order to determine how well it achieves its objectives.

Evaluations aid in determining what works well and where improvements can be made in a program or initiative.

Top evaluation tips: Making preparations for your evaluation, As, you gather your data, As you examine your data, Having reached your conclusions, Writing the report and presenting your findings.

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Answer:

B

Step-by-step explanation:

The symbol > means greater than, so the number line points to the right
Because it is not [tex]\geq[/tex] (greater than or equal to), the circle should be open

In Smithville, the gas station is located at Point Zero and the laundromat is 2/5 of a mile south of the gas station. The sandwich shop is 2/5 of a mile south of the convenience store and the day care is 3/5 of a mile south of the sandwich shop.

All of these locations are easily accessible and provide convenience services to the local Smithville community. The gas station offers fuel and other automotive services, while the laundromat provides laundry and dry cleaning services. The sandwich shop provides quick food and snacks, while the day care offers a safe and nurturing environment for children.

All of these locations are within a close proximity to one another and provide a convenient way for the Smithville community to access essential services.

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