A is a mxn matrix. X is in Rn. Rn is domain, Rm is codomain. N is number of columns in A while M is number of rows in A. A transformation that goes from R5 to R2 has __ columns and __ rows in the A matrix.

Answer:

-13

Step-by-step explanation:

-13 since it's going down in price

The Original price of the pair of shoes, before any discounts were applied, was $25.

The original price of the pair of shoes is represented by 'x'.

According to the given information, the store applies a $5 coupon to the regular price, resulting in a reduced price of (x - $5).

Then, the store applies a 15% discount to the reduced price. The discounted price is calculated by subtracting 15% of (x - $5) from (x - $5). Mathematically, this can be expressed as:

(x - $5) - 0.15(x - $5)

To find the original price before any discounts were applied, we need to solve the equation:

(x - $5) - 0.15(x - $5) = $17

Now, let's simplify the equation and solve for 'x':

x - $5 - 0.15x + $0.75 = $17

0.85x - $4.25 = $17

0.85x = $17 + $4.25

0.85x = $21.25

Dividing both sides of the equation by 0.85, we get:

x = $21.25 / 0.85

x = $25

Therefore, the original price of the pair of shoes, before any discounts were applied, was $25.

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Answer:

7,295.16

Step-by-step explanation:

A=p(1+i/m)^mn

A=9,500×(1+0.04÷4)^(4×3)

A=10,704.84

The balance she needs

18,000−10,704.84

=7,295.16

We ahve to solve for y in the equation:

- 2 x - 7 y = 4

We add 7 y to both sides:

- 2 x = 4 + 7 y

now subtract 4 from both sides:

- 2 x - 4 = 7 y

divide everything on the left and everything on the right by 7 in order to isolate the "y" completely:

- 2 x / 7 - 4 / 7 = y

y = -(2/7) x - (4/7)

where "- (2/7) " is the slope

and

"- (4/7)" is the y-intercept

Answer:

Mr. Miller's farm is 295 acres, and Mr. Newton's farm is 230 acres.

Step-by-step explanation:

From the problem we can make the following equations.....

Let "N" be the area of Mr. Newton's farm and let "M" be the area of Miller's farm. Then.....

N + M = 525

N + 65 = M

Now substitute and get....

N + M = 525

N + N + 65 = 525

2N = 460

N = 230⇒

⇒N + 65 = M

230 + 65 = 295

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:

\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)

To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.

For the square root of y to be real, y must be non-negative. That is, y ≥ 0.

For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:

\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)

This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.

In interval notation, we can write:

Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}

To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.

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Answer:

13.24 ft

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have:

Sinα=opposite/hypotenuse

α=62°

opposite=x

hypotenuse=15 ft

2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

Sinα=opposite/hypotenuse

Sin(62°)=x/15

3. You must clear "x", as below:

x=(15)(Sin(62°))

x=13.24 ft

The answer is. 13.24 ft

Answer:

9x+4

Step-by-step explanation:

perimeter= sum of all sides

perimeter= (2x+5)+ (x-4)+ 3(2x+1)

= 2x+5+x-4+ 6x+3

= 2x+x+6x+5+3-4

= 9x+8-4

=9x+4

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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Answer:

x is a horizontal line and y is a vertical line

6/50 fraction of all people in the company are women under age of 30 In a company where the ratio of men to women i 3:2.

In a company the ratio of men to women  3:2

30% of the women are under the age of 30.

suppose there are 500 people in the company

then 300 are men and 200 are women

30% of 200 = 200*30/100= 60 women are under 30

60/500= 6/50 women are under 30

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Answer:

y = -3x + 1

Step-by-step explanation:

First, we can find the slope of the line.

The slope is (change in y)/(change in x).

We can use the points that are marked in orange: (0,1) and (1,-2)

The change in y is 1 to -2, which is -3.

The change in x is 0 to 2, which is 1.

The slope will be -3/1, which is also: -3.

We have y = -3x + b currently.

The b is the y-intercept, meaning (the point that touches the y axis, the vertical line).

The point (0,1) touches the y-intercept, so b will be 1.

We can finish our equation as: y = -3x + 1

D. At the end of 20 years, the policy's cash value will equal $100,000 is INCORRECT regarding a $100,000 20-year level term policy.

A $100,000 20-year level term policy is a type of life insurance policy that provides a fixed amount of coverage for a set period of time. The premiums for this policy will remain level for the entire 20 years and, if the insured dies during that time, the beneficiary will receive the full $100,000. However, the policy will expire at the end of the 20-year period and the cash value will not equal the $100,000. As a result, it is untrue to say that $100,000 will be the policy's cash value after 20 years.

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Answer:

-2+sqrt(2)i and -2-sqrt(2)i

Step-by-step explanation:

use system of equations

xy = 6

x+y=-4

(-4-y)y=6

-y^2 -4y + 6 = 0

Use quadratic formula

y = -2 ± sqrt(2)i

Now substitute

x + (-2 ± sqrt(2)i) = -4

X = -4-(-2±sqrt(2)i) = -2±sqrt(2)i

are you sure you typed the question right?

Answer:

tan²x + tan x - 12 = 0 (1)

suppose: tan x = t

(1)=> t² + t - 12 = 0

a = 1    b = 1     c = -12

⇒ Δ = b² - 4ac = 1 + 48 = 49 > 0 => has 2 solutions

=> t = \(\frac{1+\sqrt{49} }{2}=\frac{8}{2}=4\)

or t = \(\frac{1-\sqrt{49} }{2}=\frac{-6}{2}= -3\)

because t = tan x => tan x = 4 or tan x = -3

because x ∈ [0;2pi) => with tan x = 4 => x = arctan(4)  or x = arctan(4) + pi

                                     with tan x = -3 => x = arctan(-3) + pi

Step-by-step explanation:

The probability of picking a card less than 7 from a standard deck of cards is 2/13.

To find the probability (P) of picking a card less than 7, we need to determine the number of favorable outcomes (cards less than 7) and divide it by the total number of possible outcomes.

In this case, the favorable outcomes are the cards with values less than 7, which are 5 and 6. The total number of possible outcomes is the total number of cards in the deck, which depends on the specific deck being used.

Assuming a standard deck of 52 cards, there are four 5s and four 6s, making a total of eight favorable outcomes.

Therefore, P(less than 7) = favorable outcomes / total outcomes = 8 / 52.

Simplifying the fraction, we find that P(less than 7) = 2 / 13.

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Answer:

Assuming you meant division.

26 R16

Step-by-step explanation:

\(Borrow\:8\\= 97\\= 97 - 74(37 \cdot 2)\\= 23\\Drop\:the\:borrowed\:8\\= 238\\= 238 - 222(37 \cdot 6)\\= 16\\\\26\:R16\)

➲ Hope this helps.

Answer:

26 R16

Step-by-step explanation:

The program prints the table with the values of a, a^2, a^3, and a^4 aligned in columns for better readability.

Sure! Here's a Java program that displays the given table:

java

Copy code

public class PowerTable {

   public static void main(String[] args) {

       System.out.println("a\t a^2\t a^3\t a^4");

       System.out.println("---------------------------");

       for (int a = 1; a <= 4; a++) {

           int aSquared = a * a;

           int aCubed = a * a * a;

           int aToTheFourth = a * a * a * a;

           System.out.println(a + "\t " + aSquared + "\t " + aCubed + "\t " + aToTheFourth);

       }

   }

}

This program uses a for loop to iterate through the values of a from 1 to 4. For each value of a, it calculates a^2, a^3, and a^4 and displays them in a formatted table. The output will be as follows:

css

Copy code

a    a^2    a^3    a^4

---------------------------

1    1      1      1

2    4      8      16

3    9      27     81

4    16     64     256

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The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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The equivalence of the remainder following the division of 17 and 30 by N indicates that the largest value N can have is 30

The remainder term in a division of one value by a second value is the value which is less than the divisor, remaining after the divisor divides the dividend by a number of times indicated by the quotient.

The remainder following the division of 17 and 30 by the number N are the same.

Let R represent the remainder following the division of the integers 17 and 30 and let b represent the number of times N divides 30 than 17. Using the long division formula, we get;

17/N = Q + R/17

30/N = b·Q + R/17

30/N - 17/N = 13/N

The substitution property indicates that we get the following equation;

30/N - 17/N = b·Q + R/17 - (Q + R/17) = b·Q - Q

30/N - 17/N = b·Q - Q

13/N = b·Q - Q = (b - 1)·Q

13/N = (b - 1)·Q

The fraction 13/N which is equivalent to the product of (b - 1) and Q indicates that N is a factor of 13

13 is a prime number, therefore, the factors of 13 are 13 and N

Therefore, the possible values of N are 13 and 1

The largest value N can have is therefore, 13

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Answer:

T = 96

Step-by-step explanation:

From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:

T ∝ 1/H

T = K/H

Cross multiply

K = TH

Next, we shall determine the value of K. This can be obtained as follow:

H = 8

T = 120

K =?

K = TH

K = 120 × 8

K = 960

Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:

H = 10

K = 960

T =.?

T = K/H

T = 960/10

T = 96

Answer:

\(15x^4 - 29x^2y^2 - 14y^4\).

Step-by-step explanation:

(5x^2 + 2y^2) * (3x^2 - 7y^2)

= 15x^4 + 6x^2y^2 - 35x^2y^2 - 14y^4

= 15x^4 - 29x^2y^2 - 14y^4

= \(15x^4 - 29x^2y^2 - 14y^4\)

Hope this helps!

Answer:

(-13/2, 3)

Step-by-step explanation:

There's a fancy formula for the midpoint, but here's a way that might be easier to remember.  The average of two numbers is exactly halfway between them.

Average the x's:  (-9 + (-4))/2 = -13/2

Average the y's:  (8 + (-2))/2 = 6/2 = 3

The midpoint is (-13/2, 3).

The formula tells you to do the same thing:  add the x's and divide by 2, then add the y's and divide by 2.

Midpoint = (average x, average y)

Answer:

P - 5

Step-by-step explanation:

hello

original price is P

$5 discount means that the final price is P - 5

hope this helps

Answer:

p-5

Step-by-step explanation:

the Correct option of  coordinates of polygon A′B′C′D′ if polygon ABCD is rotated 90° counterclockwise is A.

In arithmetic, what is a polygon?

A polygon is a closed, two-dimensional, flat or planar structure that is circumscribed by straight sides. There are no curves on its sides. Polygonal edges are another name for the sides of a polygon. A polygon's vertices (or corners) are the places where two sides converge.

To determine the coordinates of polygon A′B′C′D′, we need to rotate each vertex of polygon ABCD 90° counterclockwise.

We can do this by using the following formulas for a 90° counterclockwise rotation of a point (x, y):

x' = -y

y' = x

Using these formulas, we can find the coordinates of each vertex of polygon A′B′C′D′ as follows:

A′(0, 0): Since (0, 0) is the origin, a 90° counterclockwise rotation will still result in (0, 0).

B′(-2, 5): To rotate the point (5, 2) 90° counterclockwise, we have x' = -y = -2 and y' = x = 5. So, B′ is (-2, 5).

C′(5, 5): To rotate the point (5, -5) 90° counterclockwise, we have x' = -y = 5 and y' = x = 5. So, C′ is (5, 5).

D′(3, 0): To rotate the point (0, -3) 90° counterclockwise, we have x' = -y = 0 and y' = x = 3. So, D′ is (3, 0).

Therefore, the coordinates of polygon A′B′C′D′ are A′(0, 0), B′(-2, 5), C′(5, 5), and D′(3, 0).

So, the answer is A) A′(0, 0), B′(−2, 5), C′(5, 5), D′(3, 0).

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Answer:

yes, and at 600 hours they are equal and at 601 Frank passes her.

Step-by-step explanation:

since frank  has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.

First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a  positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.

Answer:

They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo

8n=7.50n+300

Sub in n for 600 and it should cancel everything out and work :)

if you want me to re-explain let me know.