O FUNCTIONSDomain and range from ordered pairsSuppose that the relation S is defined as follows.S={(5, 7), (5, -6), (-1, 2), (0, -1)}Give the domain and range of S.Write your answers using set notation.domain =range=I need help with this math problem.

Step-by-step explanation:

id-8253381513

password-9999

Answer:

the correct answer is A. but dont trust me on this

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

So lets do this slowley

3x3=9

9x3=27

27x3=81

81x3=243

It took 5 threes or 3x3x3x3x3 to get 243

Answer:

y=81, try that for answer

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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Answer:

y = 13

Step-by-step explanation:

First, find the value of x.

The 2 other angles with x values are alternate exterior angles, meaning they are congruent. Set up an equation setting them equal to each other:

10x - 17 = 8x + 1

Solve for x:

2x - 17 = 1

2x = 18

x = 9

Then, plug in 9 as x into the angle measure next to the one with y values:

8x + 1

8(9) + 1

72 + 1

= 73

This angle and the one with the y value will be supplementary. To find the measure of the angle with the y value, subtract 73 from 180:

180 - 73

= 107

So, it is equal to 107. Lastly, set the angle measure equal to 107 and solve for y:

6y + 29 = 107

6y = 78

y = 13

The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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The dimensions of the garden that minimize the cost is 3.83 and 5.74.

Lets assume the garden has length L and width W and one Length has the brick wall.

L*W = 22 (area constraint)

C = 40 * L + 20 * L + 20 * W + 20 * W

= 60 * L + 40 * W

We need the equation in terms of just one variable, lets use L. We can use the area constraint to do this

W = 22/L (plug this into the C equation)

C(L) = 60*L + 40*(22/L)

= 60*L + 880/L

C(L) = 60*L + 880/L

now take the derivative and get

C'(L) = 60 - 880/L^2

now set that derivative = 0 to find the key L value where the min/max occurs (min in this case)

0 = 60 - 880/L^2

Solve for L,

L = ± (2 sqrt(11/3))

We only need the positive answer as negative length makes no sense here,

L = 3.83 (approximate)

We can now solve for W as well

W = 22/3.83 = 5.74

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Answer:

Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.

Answer:

90.2 gallons

Step-by-step explanation:

This is because if we take 8.8 * 8.2=72.16

then we do 72.16*5 =360.8

360.8 / 4 = 90.2 gallons.

Give brainlest and have a great day

Since the number of floors must be a whole number, Cersei can build a maximum of 26 floors on the given lot while adhering to the FAR limit of 20.

To determine the number of floors Cersei can build on the given lot, we need to consider the Floor Area Ratio (FAR) limit imposed by the Council. FAR is the ratio of the total floor area of a building to the area of the lot it is built on. In this case, the FAR limit is set at 20, which means the total floor area cannot exceed 20 times the area of the lot.

The area of the lot is the product of its depth and width:

Area of the lot = Depth * Width

= 325 ft * 325 ft

= 105,625 sq ft

Since the FAR is capped at 20, the maximum total floor area allowed on the lot is:

Maximum Total Floor Area = FAR * Area of the lot

= 20 * 105,625 sq ft

= 2,112,500 sq ft

Given that each floor of Cersei's building has an area of 80,000 sq ft, we can determine the maximum number of floors as follows:

Number of Floors = Maximum Total Floor Area / Area per Floor

Number of Floors = 2,112,500 sq ft / 80,000 sq ft

Number of Floors ≈ 26.41

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Answer: 20 cups of tomato

Step-by-step explanation:

From the question, we are informed that Jim is making salsa and that his recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of cilantro.

If Jim has 1 cup of cilantro, thus simply means that he has multiplied the previous cup of cilantro by:

= 1 ÷ 1/6

= 1 × 6/1

= 6

Therefore, we would also multiply the cups of tomato by 6. This will be:

= 3 1/3 × 6

= 10/3 × 6

= 20 cups of tomato

Answer:

z = 45.6

Step-by-step explanation:

because the triangle that we know all the length is similar to the large triangle,

z = 27/(16/27)= 45.5625

9514 1404 393

Answer:

  45.6

Step-by-step explanation:

There is a geometric mean rule that is derived from the fact that all of these right triangles are similar. It tells you the side (27) is the geometric mean of the hypotenuse (z) and the segment of it adjacent to that side (16).

  27 = √(16z)

  z = 27²/16 = 45.5625

  z ≈ 45.6

Answer:

Step-by-step explanation:

To find the product

Its gonna be

12g^4h^5

Answer:

\(0.2 = \frac{2}{10} = \frac{2}{10 ^{1} } = 2 \times {10}^{ - 1} \\ 0.03055 = \frac{3055}{100000} = \frac{3055}{ {10}^{5} } = 3055 \times {10}^{ - 5} \\ 0.2 \times 0.03055 = 2 \times {10}^{ - 1} \times 3055 \times {10}^{ - 5} \\ = 2 \times 3055 \times {10}^{ - 1 + ( - 5)} \\ = 2 \times 3055 \times 10^{ - 1 - 5} \\ = 2 \times 3055 \times {10}^{ - 6} \\ = 6110 \times {10}^{ - 6} \\ = \frac{6110}{ {10}^{6} } \\ = \frac{6110}{1000000} \\ = 0.006110\)

Answer:

x = 3

Step-by-step explanation:

3x - 12 = -3

3x = 9

x = 3

Answer:

3(x-4)=-3

3x-12 =-3

3x= -3+12

3x= 9

x=9÷3

x= 3

The experimental probability of landing on a number greater than 4 is 0.25 or 25%.

To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).

The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.

So, the experimental probability is 18/60 = 0.3 or 25%.

It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.

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the answer in fraction form is 18/60

if thats what you are looking for.

Lines x + 5 = 0 and y = 4x + 4 intersect on a standard (x, y) coordinate plane.

To find the y-coordinate of the point where the two lines intersect.

given lines  are x +5 =0 and y=4x+4

we need to find point of intersection at point of intersection both line will have same point

Let point of intersection be (a,b)

then

a+5 = 0 and b = 4a+4

from 1st equation we have

a = -5

from the 2nd

b = 4a+4

b = 4(-5)+4

b = -20+4

b = -16

Hence y coordinate of point of intersection is -16

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Answer:

-13.5

Step-by-step explanation:

-6.52-6.98=-13.5

Answer:

Option D

Step-by-step explanation:

Option A and Option B are completely wrong because the word Linear represent a straight line graph and the figure in the question that is given is not a straight line.

Option C is wrong because the graph in the figure is decreasing there is an arrowhead at (3 , -6) it shows the graph is going downwards increasing its negative value hence decreasing

Option D is correct because all the other three options are wrong and hence the arrow the figure is decreasing and non linear.

Answer:

D

Step-by-step explanation:

cuz it going down

p.s. mark other person brainliest cuz my explantion sucks lol

It will take approximately 17.3 years for the population to double if the growth rate per year is 4% of the current population.

The population of a country growing at a rate proportional to its population is modeled by the exponential growth equation:

P(t) = P0 e^(rt)

Where P(t) is the population after time t, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.71828.

In this case, the growth rate per year is 4% of the current population, so r = 0.04. We want to find how long it will take for the population to double, which means we want to find t such that P(t) = 2P0.

Substituting into our equation, we get:

2P0 = P0 e^(0.04t)

Dividing both sides by P0 and taking the natural logarithm of both sides, we get:

ln(2) = 0.04t

Solving for t, we get:

t = ln(2)/0.04

≈ 17.3 years

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The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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The stem values for the given data set are 6, 7, 8, 9, 10, 11 and the leaves for the given data are 3, 5 9 9, 1 3 8 8 8, 5 6, 4 4 7, 7 respectively.

To construct a stem-and-leaf display, we separate each data point into a stem and a leaf. The stem represents the leading digit(s) of the number, and the leaf represents the remaining digit(s).

Using a leaf unit of 0.1, we can organize the data as shown in the table.

In this stem-and-leaf display, each stem represents the tens digit, and the leaves represent the ones digit. For example, in the first row, the stem is 6 and the leaf is 3, indicating the number 6.3.

It's important to note that in this data set, there are no values for stems 0, 1, 2, 3, 4, and 5. Therefore, we can write "NONE" or leave those rows blank to indicate that there are no values for those stems.

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Answer: option 4

Step-by-step explanation:

The transformation of the parent function is stretched by a factor of 2 and translated 8 units right and 5 units down

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) = ∛x

And , the given function is y = ∛ ( 8x - 64 ) - 5

On simplifying , we get

Taking 8 as the common factor , we get

y = ∛ 8 ( x - 8 ) - 5

Now , the cube root of 8 is 2

So , y = 2∛(x - 8 ) - 5

The transformed function is y = 2∛(x - 8 ) - 5

And , the transformation is a vertical stretching by a factor of 2

And , a horizontal right shift by 8 and a vertical down shift by 5

Hence , the transformation of function is stretching by a factor of 2 and translated 8 units right and 5 units down

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The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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Answer:

9 weeks

Step-by-step explanation:

edge 2020

On solving the inequality, 9 weeks of exercise are necessary to lower the individual’s resting heart rate below 70 beats per minute.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

\(-0.1x^{3} + 0.6x^{2} +85 < 70\\\)

where, x is the number of weeks of exercise is necessary to lower the individual's resting heart rate below 70 beats per minute.

This cubic inequality can be solved by hit and trial method.

when x = 7.

\(-0.1x^{3} + 0.6x^{2} +85 < 70\\\)

\(=-0.1*7^{3} + 0.6*7^{2} +85\) = 80.1

80.1 > 70

Thus, x = 7 is not suitable.

when x = 8.

\(-0.1x^{3} + 0.6x^{2} +85 < 70\\\)

\(=-0.1*8^{3} + 0.6*8^{2} +85\) = 72.2

72.2 > 70

Thus, x = 8 is not suitable.

when x = 9.

\(-0.1x^{3} + 0.6x^{2} +85 < 70\\\)

\(=-0.1*9^{3} + 0.6*9^{2} +85\) = 60.7

60.7 < 70

Thus, x = 9 is suitable.

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Answer:

Infinite Set. A set which contains infinite number of elements is called an infinite set. ...

Subset. ...

Proper Subset. ...

Universal Set. ...

Empty Set or Null Set. ...

Singleton Set or Unit Set. ...

Equal Set.

a) The logistic equation for this problem is L dP/dt = P(1 - P/L), where L = 2000 and Po = 100.

b)  The maximum reproduction rate is 0.03465 times the current population.

a. The logistic equation for this problem is:

L dP/dt = P(1 - P/L)

where L is the carrying capacity of the lake, P is the current population, and dP/dt is the rate of change of the population over time.

We know that at t = 0, P = 100, and one year later at t = 1, P = 200. So we can use this information to find k, which is the growth rate coefficient:

P(t) = L / (1 + (L / Po - 1) * exp(-kt))

200 = L / (1 + (L / 100 - 1) * exp(-k))

200 = L / (1 + (L - 100) * exp(-k))

200 + 200L - 20000 = L * (1 + (L - 100) * exp(-k))

200L -\(L^2\) * exp(-k) + 200L * exp(-k) - 10000 * exp(-k) = 0

\(L^2\) - 400L + 5000 = (L - 200)^2 - 30000

\((L - 200)^2\) = 35000

L = 200 + sqrt(35000) ≈ 223.6

So L ≈ 223.6, and we can use this to find k:

2000 = 223.6 / (1 + (223.6 / 100 - 1) * exp(-k))

20000 + 2000L - 2236 = L * (1 + (L - 100) * exp(-k))

2236 - \(L^2\)  * exp(-k) + 2236 * exp(-k) - 100 * exp(-k) = 0

\(L^2\) - 4472L + 220000 = 0

(L - 2000)(L - 100) = 0

So either L = 2000 or L = 100. We know that L ≠ 100, since we know that the population stabilizes at 2000 after a long time. Therefore, L = 2000, and we can solve for k:

k = -ln((L / Po - 1) / (1 + (L / Po - 1))) / t

k = -ln((2000 / 100 - 1) / (1 + (2000 / 100 - 1))) / 1

k ≈ 0.0693

Therefore, the logistic equation for this problem is:

L dP/dt = P(1 - P/L)

dP/dt = 0.0693P(1 - P/2000)

b. The maximum reproduction rate occurs when the population is halfway to the carrying capacity, or P = L/2. At this point, the equation becomes:

dP/dt = 0.0693P(1 - 0.5)

dP/dt = 0.03465P

Therefore, the maximum reproduction rate is 0.03465 times the current population. For example, if the current population is 1000, the maximum reproduction rate is 34.65 fish per year.

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Full Question : Logistic Equation: L dP dt P(1-2). P() = L - Po Po 1+ 4e ki Where A 1. Fish population in a lake grows according to the logistic law. The initial population of 100 fish and year later it was 200. After a long time fish population stabilized at 2000.

a. Write down the logistic equation for this problem.

b. What is the maximum reproduction rate (fish/year)?

Answer:

10.5 hours for 336 pages

Step-by-step explanation:

16 pgs : 30 mins

336 pgs: __ hours

16+16=32 pages: 30+30=1 hour

for every 1 hour, Bailey reads 32 pages.

Answer:

100 per deposit

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

She starts at fifty dollars after no deposit.

After one deposit, She has $150 in her accout

150-50=100

Therefore, D is correct.

Good luck!!

Answer:

59.5\(cm^{2}\)

Step-by-step explanation:

You have two shape: a square and a triangle

Square:

The area of a square is the sides squared

a = \(s^{2}\)  The side length is 7 (7 x 7 = 49)

a = \(7^{2}\)

a = 49

Triangle:

a \(\frac{bh}{2}\)  The base times the height divided by 2

The base is 7 and the height is 3.

a = \(\frac{7x3}{2}\) = \(\frac{21}{2}\) = 10.5

Add the two areas together: 49 + 10.5 = 59.5

Helping in the name of Jesus.

First find Divisor

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

\(\\ \sf\longmapsto x^2+5x+6\)

Dividend given by

\(\\ \sf\longmapsto x^4-x^3-16x^2+4x+48\)

We know

\(\boxed{\sf Dividend=Divisor\times Quotient +Remainder}\)

\(\\ \sf\longmapsto Dividend=Divisor\times Quotient\)

\(\\ \sf\longmapsto Quotient=\dfrac{Dividend}{Divisor}\)

\(\\ \sf\longmapsto \dfrac{x^4-x^3-16x^2+4x+48}{x^2+5x+6}\)

\(\\ \sf\longmapsto x^2-6x+8\)

Now factor

\(\\ \sf\longmapsto x^2-6x+8=0\)

\(\\ \sf\longmapsto x^2-4x-2x+8=0\)

\(\\ \sf\longmapsto x(x-4)-2(x-4)=0\)

\(\\ \sf\longmapsto (x-4)(x-2)=0\)

\(\\ \sf\longmapsto x-4=0\:or\:x-2=0\)

\(\\ \sf\longmapsto x=4\:or\:x=2\)

Hence all zeros are