For this question, write all four possible proportions used to solve. jamie can text 312 words in 4 minutes. at this rate, how many words can jamie text in 15 minutes?

Answer:

d

Step-by-step explanation:

i took testt

Answer:

Step-by-step explanation:

Aright! I can give you the definitions first and the difference next.

Postulates: Are statements in math that give a belief without being proved or testified. This means that they may be some inaccuracies. They are also starting points for creating new formulas and theorems. They have the purpose if explaining undefined answers through no evidence.

Theorems: On the other hand theorems have been proved exactly by experts and can be stated and summarized without question. This means that there is almost no question about the theorems. It has a logical backup from the step of postulates.

The differences can be searched from definitions!!

Thnx for the question

Approximately 12 percent of the people in Olde Town own both a goat and a chicken.

Let's assume there are 100 people in Olde Town. According to the given information, 40 percent of people own a goat, which means there are 40 goat owners. Additionally, 35 percent of goat owners also own a chicken, which means there are 35 percent of 40, which is 14 people, who own both a goat and a chicken.

Moreover, it is mentioned that 30 percent of people own a chicken. So, there are 30 chicken owners in Olde Town. However, we have already accounted for 14 of them who also own a goat. Therefore, there are 30 minus 14, which is 16 people who own only a chicken.

To find the number of people who own both a goat and a chicken, we add the number of people who own both to the number of people who own only a chicken: 14 + 16 = 30.

To calculate the percentage, we divide the number of people who own both by the total population of Olde Town (100) and multiply by 100: (30 / 100) * 100 = 30 percent. So, approximately 30 percent of the people in Olde Town own both a goat and a chicken, which is equivalent to 12 people.

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The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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Answer:

Step-by-step explanation:

8.4 x 2 = 16.8

To convert rectangular coordinates (x,y) to polar coordinates (r,θ), use the following formula:  r = √(x^2 + y^2) and θ = arctan(y/x). Here, r is the distance from the origin to the point (x,y) and θ is the angle made by the line connecting the origin to the point (x,y) with the x-axis.

For example, if the rectangular coordinates are (3,4), the corresponding polar coordinates are (5, 53.13°). To obtain this, first calculate the distance r using the formula: r = √(3^2 + 4^2) = 5. Next, calculate the angle θ using the formula: θ = arctan(4/3) = 53.13°.

You can also convert from polar coordinates (r,θ) to rectangular coordinates (x,y) using the formulas: x = r*cos(θ) and y = r*sin(θ). Here, r is the distance from the origin to the point (x,y) and θ is the angle made by the line connecting the origin to the point (x,y) with the x-axis.

For example, if the polar coordinates are (5, 53.13°), the corresponding rectangular coordinates are (3,4). To obtain this, first calculate the x-coordinate x using the formula: x = 5*cos(53.13°) = 3. Next, calculate the y-coordinate y using the formula: y = 5*sin(53.13°) = 4.

In summary, to convert rectangular coordinates (x,y) to polar coordinates (r,θ), use the formula r = √(x^2 + y^2) and θ = arctan(y/x). To convert from polar coordinates (r,θ) to rectangular coordinates (x,y), use the formulas x = r*cos(θ) and y = r*sin(θ). Rectangular coordinates to polar coordinates conversion Polar coordinates are the two-dimensional coordinate system that uses an angle (in radians) and the distance from the origin (in units) to describe the position of a point.

A point is described by its distance from the origin (radius) and the angle (in radians) that its position vector makes with the positive x-axis.Let (x, y) be any point in the rectangular coordinate system. Then, the polar coordinates of that point are (r, θ),

where:r = √(x2 + y2) is the distance from the origin to the point.(x,y) is the point in the rectangular coordinate system.θ = tan-1(y/x) is the angle in radians that the position vector of the point makes with the positive x-axis (assuming that x ≠ 0).

Note that the range of θ depends on the quadrant in which the point lies. If the point lies in quadrant I or IV, then θ is between 0 and π radians (i.e., 0 ≤ θ < π). If the point lies in quadrant II or III, then θ is between π and 2π radians (i.e., π ≤ θ < 2π).

To convert a point from rectangular coordinates to polar coordinates, we can follow these steps: Calculate the distance r from the origin to the point using the Pythagorean theorem = √(x2 + y2)Calculate the angle θ that the position vector of the point makes with the positive x-axis using the formula:θ = tan-1(y/x)

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Answer:

5.5

Step-by-step explanation:

x＋3＝8.5

or，x＝5.5

I hope it helped you

Please Mark me brainliest

To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Answer:

adult ticket =$8 child ticket = $4

Step-by-step explanation:

2x =y

2y + 5x =36

4y + X=36

y =8 so X=4

Answer:5/2

Step-by-step explanation:

Answer:

0.27

Step-by-step explanation:

Probability of picking a green is 0.27 (t nearest hundredth).

The inequality Form:= x>5

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made. Several types of inequalities are represented by a variety of notations, including:

The symbol a b indicates that an is smaller than b.

When a > b is used, it indicates that an is bigger than b.

A is not equivalent to b in any scenario.

As an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities.

Equivalence is not considered.

There are two forms of inequality relations that are not strict, in contrast to strict inequalities:

The indication of an or b denotes that.

Hence, The inequality Form:= x>5

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Answer:

750%

Step-by-step explanation:

First divide 37.5 by 5 to get 7.5. Then convert to percentage by multiplying 7.5 with 100. This leaves you with 750%.

Answer:

750%

Step-by-step explanation:

not sure lol

Answer:

-4×(-5)=20

have a nice day <3

Answer:

the answer is *a sorry if wrong

Answer:

Option 1 4311/9900

Step-by-step explanation:

4311/9900 = 0.435454545454545454

Can I have Brainliest please. :D

Answer:

if you divide anything by 1/2 you are basically multiplying by 2 so any number divided by 1/2 will just be ×2

The two triangles called congruent if two sides the associated angle in one triangle is congruent with two sides and the contained angle in the other triangle.

According to the Side-Angle-Side theorem of congruency, two sides and the angle they produce are congruent if they are equivalent to two sides as well as the angle of another triangle.

Thus, two triangles are termed to be comparable if their two sides are in the same ratio as the two sides of some other triangle and their two sides' angles inscribed in both triangles are equal.

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Answer:

[-0.25 1.25]

[ ]

[-0.75 2.75]

If not satisfied than..

You can write it in other way as show in step by step

Step-by-step explanation:

Step 1:

First of all find the determinate.

Cross multiply the number 11 ✖ -1

= -11 ---eq1

And now cross multiply the number 3 ✖ - 5

= -15 ---eq2

Now we use eq 1 and 2

detA = (-11)-(-15)

Minus cancels minus

So it becomes

detA = -11 + 15

= 4

Step 2:

We find adjacent of the given.

[11 -5]

adjA= [ ]

[3 -1 ]

We change the places. The number 11 goes to in place of -1. -1 goes in place of 11.

And we change the signs of -5 and 3. -5 becomes 5 and 3 becomes -3.

We get

[-1 5]

adjA = [ ]

[-3 11]

Step 3:

Now we use the following formula

1

A^-1 = -------- adjA

detA

1 [-1 5]

A^-1 = ------- [ ]

4 [-3 11]

And now multiply

1

---- with each number of adjA.

4

And than subtract..

And you will get the inverse matrix

If the answer comes same than that's the answer for inverse matrix

Thank you.

1. 2x + 3y = 1470

   3y = -2x + 1470

   y = -2/3x + 490 <== slope intercept form

==================

2. y = -2/3x + 490....slope = -2/3.....y int = (0,490)

   to graph, start at (0,490)....since the slope is -2/3, we will go down 2       spaces, then to the right 3 spaces, then down 2 spaces, and to the right 3 spaces. It helps to find the x int which can be found by subbing in 0 for y into the equation and finding x. So ur x int is (735,0)...this is where ur line should cross the x axis.

===================

3. function notation : f(x) = -2/3x + 490...not sure how to explain the meaning...sorry

===================

4. graph the function....it will be the same line as the graph I explained before...y = -2/3x + 490

y int = (0,490)

x int = (735,0)

===================

5. original :                            new :

   2x + 3y = 1470                 2x + 3y = 1593

   3y = -2x + 1470                3y = -2x + 1593

    y = -2/3x + 490                y = -2/3x + 531

similarities : Both of these equations will have the same slope, which is -2/3. Both lines are descending. Both lines are parallel to each other.

differences : These lines will have different x and y intercepts

y = -2/3x + 490 : y int = (0,490), x int = (735,0)

y = -2/3x + 531 : y int = (0,531), x int = (796.5,0)

======================

6. pick 2 points on the line.....(0,300) and (450,0)

find the slope using the slope formula : slope = (y2 - y1) / (x2 - x1)

(0,300)....x1 = 0 and y1 = 300

(450,0)...x2 = 450 and y2 = 0

now we sub and find the slope

slope = (0 - 300) / (450 - 0) = -300/450 reduces to -2/3

now we use y = mx + b

slope(m) = -2/3

use either of ur points...(450,0)...x = 450 and y = 0

now sub and find b, the y int

0 = -2/3(450) + b

0 = - 300 + b

300 = b

so ur equation is : y = -2/3x + 300....or  2x + 3y = 900

The algebraic expression that represents the number of pieces on the chessboard after n pieces are removed is 32 - n.

The algebraic expression 32 - n represents the number of pieces on the chessboard after n pieces are removed. Since there are initially 32 pieces on the chessboard, subtracting n from that value gives us the remaining number of pieces. As pieces are removed, the total count decreases accordingly.

The expression 32 - n allows us to track the diminishing number of pieces as n increases, representing the changing state of the chessboard throughout the game.

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The domain of the function is all possible values of x and y, or in other words, the entire xy-plane.

The domain of the function f(x, y) = y + 49 − x^2 − y^2 is all possible values of x and y that would not result in division by zero, taking the square root of a negative number, or any other mathematical errors.

To find the domain of this function, we need to check if there are any restrictions on the values of x and y.

First, we notice that there are no denominators or square roots involved in the expression. Therefore, there are no restrictions on the values of x and y based on these factors.

Next, we look at the term x^2 + y^2. Since this is a sum of two squares, it is always non-negative. Therefore, there are no restrictions on the values of x and y based on this factor as well.

Therefore, the domain of the function is all possible values of x and y, or in other words, the entire xy-plane.

To sketch the domain, we can draw the xy-plane and shade it in to represent all possible values of x and y. Since the domain is the entire xy-plane, we shade in the entire area.

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To find the proability we need to remember the product rule of proabbility that states that:

in this case event A is "getting head" and event B is "getting tail"; we know that each of this events have a proability of 1/2, then:

Therefore the probability we are looking for is 1/4.

Answer:

commutative property

Step-by-step explanation:

It's basically just changing the order of the equation.

Answer:

number of students in a van = 8

number of students in a minibus = 22

Step-by-step explanation:

Let

x = number of students in a van

y = number of students in a minibus

8x + 8y = 240 (1)

4x + y = 54 (2)

Multiply (2) by 8 to eliminate y

4x + y = 54 ×8

32x + 8y = 432 (3)

8x + 8y = 240 (1)

32x + 8y = 432 (3)

Subtract (1) from (3)

32x - 8x = 432 - 240

24x = 192

Divide both sides by 24

x = 192 / 24

= 8

x = 8 students

Substitute x = 8 into (2)

4x + y = 54

4(8) + y = 54

32 + y = 54

y = 54 - 32

= 22

y = 22 students

number of students in a van = 8

number of students in a minibus = 22

Answer:

3/50

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

i took the assignment<3

Test the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level. The p-value is 0.024.

The null and alternative hypotheses for the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level are:

H0: p = 0.7 (null hypothesis

)H1: p ≠ 0.7 (alternative hypothesis)

The test is a two-tailed test because the alternative hypothesis includes not equal to (<>) which means either p is less than 0.7 or greater than 0.7

Based on a sample of 500 people, 62% owned cats.

This means that the sample proportion, p = 0.62.

To calculate the p-value, we will use the z-test statistic.

The formula for calculating the z-test statistic is given as:

z = (p - P) / √(PQ/n) where P is the hypothesized proportion (P = 0.7), Q is the complement of P (Q = 1 - P), and n is the sample size.

Using the given values in the formula, we have; z = (0.62 - 0.7) / √(0.7 × 0.3 / 500) = -2.52

The p-value for a two-tailed test at 0.02 level of significance is obtained from the standard normal table.

The area in both tails beyond the z-score of 2.52 is 0.012.

Therefore, the p-value is:

p-value = 2 × 0.012 = 0.024

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A continuous time system can behave roughly throughout a variety of periods using a discretized state matrix. A continuous time condition matrix should be used in its place if these requirements are not satisfied since a discretized state matrix might not adequately depict the performance of a continuous time system.

A continuous time condition matrix is a matrix that is used to indicate the state of a system at any moment, as opposed to a discretized state matrix, which is used to describe the status of a system at discrete time intervals. Under the following conditions, a discrete-time state matrix is identical to a time series state matrix:

The system may be regarded as being in stable equilibrium at each time point since the time gaps between every discretization are short enough. This indicates that the behavior of the system does not drastically vary from one-time point to the next.

Over the time frames between each discretization, a linear model accurately predicts the behavior of the system. This means that the behavior of the system can be precisely predicted by a linear equation of the type "Ax = Bu," where A as well as B are matrices and x as well as u are vectors that, respectively, represent the system's state and input.

Over the intervals between each discretization, the system's input remains constant. This indicates that the system's input does not drastically vary from one-time point to the next.

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If a  rhombus with a base of 18 inches and a height of 16 inches has an area of 288 square inches

a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

A rhombus is a quadrilateral whose four sides all have the same length.

Given that  rhombus with a base of 18 inches and a height of 16 inches.

Height = 16 inches

Base = 18 inches

Area of the rhombus = Base × Height

=16×18

288 square inches.

Hence, if a  rhombus with a base of 18 inches and a height of 16 inches has an area of 288 square inches.

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Answer:

288

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