What is the GCF of 42ab3 and 70a2b2?

Answer:

Step-by-step explanation:

i think the solution is (-2,0) because that is where they touch at the x axis

Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.

Given that,

If x and y each represent a single digit

The number 8.3xy round to 8.3

Then, the nearest tenth value is,

Round to the nearest tenth means to write the given decimal number up to one decimal place. This is done in such a way that after rounding off, there is one digit after the decimal point.

To round to the nearest tenth using a number line, look at the tenth place value closest to the number you are rounding. Round 2.12, 2.28 and 2.44 to the nearest tenth.

We can write,

If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth,

We have the radius, 8.3, so we have all necessary information to solve this problem.

8.3xy rounded to the nearest tenth will be 8.3 when x>=5.

Therefore,

If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.

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If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.

Given that,

If x and y each represent a single digit

The number 8.3xy round to 8.3

Then, the nearest tenth value is,

Round to the nearest tenth means to write the given decimal number up to one decimal place. This is done in such a way that after rounding off, there is one digit after the decimal point.

To round to the nearest tenth using a number line, look at the tenth-place value closest to the number you are rounding. Round 2.12, 2.28, and 2.44 to the nearest tenth.

We can write,

If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth,

We have a radius, of 8.3, so we have all the necessary information to solve this problem.

8.3xy rounded to the nearest tenth will be 8.3 when x>=5.

Therefore,

If x and y each represent a single digit, then the 8.3xy rounded to the nearest tenth will be 8.3 when x>=5.

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The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45

Let x be the amount of money Jordan still needs to save to buy the shoes.

The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:

x = $75 - $30

Simplifying the right side:

x = $45

So, the inequality that represents how much more money Jordan needs to save is:

x ≥ $45

This means that Jordan needs to save at least $45 more to be able to buy the shoes.

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Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

To find the central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):

Central angle (in degrees) = (Arc length / Radius) * (180 / π)

Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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Answer:

-48.19

Step-by-step explanation:

Given the data:

City Price ($) Sales

River Falls 1.30 100

Hudson 1.60 90

Ellsworth 1.80 90

Prescott 2.00 40

Rock Elm 2.40 38

Stillwater 2.90 32

We could obtain a simple regression model of the data above using a linear regression calculator :

The regression model obtained is :

ŷ = -48.19277X + 161.38554

The change in sales per unit change in price is the value of the slope or gradient :

From the general linear regression equation :

y = mx + c

m = slope ;

Slope = - 48.19 ; hence, there is a drop in sales by about 48 units as the change in sales as the price of candy bar goes up by about $1.00

Answer:

2952

Step-by-step explanation:

math

a. The system can be rewritten in matrix form as d/dt [x y] = [1 5; 1 -3][x y] b. The eigenvectors are [5 1]T and [-1 1]T for λ1 = -2 and λ2 = 4. c. the solution with initial conditions x(0) = 11 and y(0) = 1 is unstable, as it grows exponentially with time.

a) The system can be rewritten in matrix form as:

d/dt [x y] = [1 5; 1 -3][x y]

where [1 5; 1 -3] is the coefficient matrix and [x y] is the vector of variables.

b) To find the eigenvalues and eigenvectors of A, we need to solve the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue. The characteristic equation is:

(1 - λ)(-3 - λ) - 5 = 0

Solving for λ, we get eigenvalues λ1 = -2 and λ2 = 4. To find the eigenvectors, we solve the equation (A - λI)v = 0 for each eigenvalue, where v is the eigenvector. The eigenvectors are [5 1]T and [-1 1]T for λ1 = -2 and λ2 = 4, respectively.

c) The general solution of the system is:

[x y] = c1[5 1]e^(-2t) + c2[-1 1]e^(4t)

where c1 and c2 are constants determined by the initial conditions.

d) Using the initial conditions x(0) = 11 and y(0) = 1, we can solve for c1 and c2:

c1[5 1] + c2[-1 1] = [11 1]

Solving for c1 and c2, we get c1 = 2 and c2 = 3. Therefore, the particular solution with initial conditions x(0) = 11 and y(0) = 1 is:

[x y] = 2[5 1]e^(-2t) + 3[-1 1]e^(4t)

e) Not all solutions converge to zero. The eigenvalues of A are λ1 = -2 and λ2 = 4, which have opposite signs. This means that the system is unstable and has both stable and unstable solutions. In fact, the solution with initial conditions x(0) = 11 and y(0) = 1 is unstable, as it grows exponentially with time.

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Answer:

m = -2/1 or just m  = -2

Step-by-step explanation:

The static method named median accepts three integers as parameters and that returns the middle value of the three.

JavaCode:

public class ThreeNumMedian

{

public static void main( String... s )

{

System.out.println(median(7,3,9));

System.out.println(median(29,-14,11));

System.out.println(median(752,64,121));

}

private static String median(int x, int y, int z)

{

if( y < x ) {

int t = x;

x = y;

y = t;

}

if( z < y ) {

int t = y;

y = z;

z = t;

}

return String.valueOf(y);

}

}

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Answer:

48

Step-by-step explanation:

6 x 8=48

The coordinates of the point p on the circumference of the circle is: P(x, y) = (150 cos θ, 150 sin θ)

To solve the problem we need to follow the below steps:

Step 1: Set up an xy-coordinate system

Step 2: Put the center of the circle at the origin

Step 3: Use the radius (150) to find the point P on the circle

The circumference is the distance around a circle.

It is calculated as 2πr.

Here, we are given the radius of the circle as 150.

So, the circumference of the circle is: C = 2πr = 2π × 150 = 300π

The coordinates of a point P on a circle with radius r and center (a, b) are given by: P(x, y) = (a + r cos θ, b + r sin θ)

Here, we can see that the center of the circle is at the origin (0, 0).

So, the coordinates of the point P on the circle are: P(x, y) = (0 + 150 cos θ, 0 + 150 sin θ)P(x, y) = (150 cos θ, 150 sin θ)

Since we are not given any value for the angle θ, we cannot find the exact values of x and y.

But we can write the coordinates of the point P on the circle in terms of θ.

So, the answer is: P(x, y) = (150 cos θ, 150 sin θ)

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Answer:

2.37x + 2.58y + 3.49z

Step-by-step explanation:

The expression would be

Let us assume the organges be x

Soup be y

And, the cereal be z

Their cost would be $0.79, $1.29 and $3.49 respectively

Now as per the question

the expression would be

= 0.79 × 3x + 1.29 × 2y + 3.49 × z

= 2.37x + 2.58y + 3.49z

The triangle ABC would be an isosceles triangle.

An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and Skelos are the sources of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

Given, Two angles of triangle ABC are 72 and 36 (in degrees). Since the sum of all the angles in a triangle is 180 degrees. Hence,

72 + 36 + third angle = 180

third angle = 72

Since if a triangle has two equal angles in it. Then it is known as an isosceles triangle.

Therefore, The given ABC triangle would be an isosceles triangle.

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Below is an example implementation of the modified Student class with the requested features:

public class Student {
   private String name;
   private int age;
   private int[] testScores;
   
   public Student(String name, int age, int score1, int score2, int score3) {
       this.name = name;
       this.age = age;
       this.testScores = new int[]{score1, score2, score3};
   }
   
   public Student(String name, int age) {
       this.name = name;
       this.age = age;
       this.testScores = new int[3];
   }
   
   public void setTestScore(int testNumber, int score) {
       if (testNumber >= 1 && testNumber <= 3) {
           testScores[testNumber - 1] = score;
       } else {
           System.out.println("Invalid test number.");
       }
   }
   
   public int getTestScore(int testNumber) {
       if (testNumber >= 1 && testNumber <= 3) {
           return testScores[testNumber - 1];
       } else {
           System.out.println("Invalid test number.");
           return 0;
       }
   }
   
   public int average() {
       int sum = 0;
       for (int score : testScores) {
           sum += score;
       }
       return Math.round(sum / 3.0f);
   }
   
   Override
   public String toString() {
       String studentString = "Name: " + name + "\nAge: " + age;
       
       String testScoresString = "";
       for (int i = 0; i < 3; i++) {
           testScoresString += "Test " + (i + 1) + ": " + testScores[i] + "\n";
       }
       
       int avg = average();
       String averageString = "Average: " + avg + " with tests: " + testScores[0] + ", " + testScores[1] + ", " + testScores[2];
       
       return studentString + "\n" + testScoresString + averageString;
   }
}

With this implementation, you can create Student objects, set test scores using setTestScore(), retrieve test scores using getTestScore(), calculate the average using average(), and display all the information including test scores and average using toString().

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Answer:

the answer is B  (2,1)

Step-by-step explanation:

Given the simultaneous equation

\(2x+3y=7 .....1\\x+y=3 ..........2\\\)

Using substitution method

from equation 2 :

\(x=3-y ....3\)

Substitute equation 3 into 1:

\(2(3-y)+3y=7\)

Open the bracket

\(2(3)-2y+3y=7\\6-2y+3y=7\\6+y=7\\y=7-6\\y=1\)

Substitute y=1 into x=3-y

\(x=3-1\\x=2\)

Hence the solution to the equation is (2,1)

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Answer:

x=18

Step-by-step explanation:

When a triangle has a midline the midline (in this case "3x-43") is 1/2 of the base of the triangle (in this case "4+x") so you can then say

4+x = 2(3x-43)

Solve that out to find that x = 18

Answer:

A. 13=20n

Step-by-step explanation:

5n+13=25n

-5n       -5n

13=20n (you can't simplify any further making A your answer )

I got a 100 on this

Answer:

Volume of sphere is 2,304 pi ft^3

Surface area of sphere is 576 pi ft^2

Step-by-step explanation:

When we talk of a great circle, we are talking of a circle around the sphere that has the same radius as the sphere.

Mathematically the area of the great circle is pi * r * r

now pi * r^2 = 144 pi

divide both sides by pi

r^2 = 144

r^2 = 12^2

since power are equal, we equate bases and the radius of the circle is thus equal to 12 feet

Now to calculate the volume of the sphere,

We know that the volume of a sphere is ;

V = 4/3 * pi * r^3

V = 4/3 * pi * 12^3

V = 4 * pi * 4 * 12^2 = 2304 pi ft^3

The surface area of the sphere is mathematically equal to 4 * pi * r^2

= 4 * pi * 12^2 = 576 pi ft^2

Answer:

Step-by-step explanation:

Similar - AA

Triangles ΔXYZ and ΔABC are similar by AA.

Option C is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

ΔXYZ and ΔABC

We see that,

∠X = ∠A

∠Z = ∠C

Now,

ΔXYZ,

∠Y = 180 - (50 + 55) = 180 - 105 = 75

Similarly,

∠B = 75

Now,

∠Y = ∠ B

We can say that,

∠X = ∠A

∠Z = ∠C

∠Y = ∠ B

ΔXYZ and ΔABC are similar.

Thus,

ΔXYZ and ΔABC are similar by AA.

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Provided that 70% of US households have cable television and a random sample of 18 households is selected, the probability that exactly 12 households have cable television is 18.73% determined by using binomial distribution.

The binomial distribution, as provided in the question, refers to the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

The binomial distribution formula for any random variable is:

P(x:n,p) = nCx px (1-p)n-x

P(x:n,p) = n!/[x!(n-x)!].p^x.(1-p)^n-x

Where n is the number of experiments, x is a random variable, and p is the probability of success in a single experiment.

n = 18

x =12

p = 0.7

P = 18!/[12!(18-12)!].0.7^12.(1-0.7)^18-12

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 0.1873

Hence, the probability of exactly 12 households having cable is 18.73%

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Answer:

Yes it is.

Step-by-step explanation:

To figure this out, lets first convert inches to centimeters. 1 Inch is equal to 2.54cm. Lets multiply 12 times 2.54. That would be equal to 30.48, which is greater than 29. This means that it is long enough to cut.

Answer:

yes it is

Step-by-step explanation:

because 12 in = 30.48 cm

The symbol for the Pearson population correlation coefficient is a Greek letter called c. Rho.

The symbol for the Pearson population correlation coefficient is actually the Greek letter "ρ" (pronounced "rho"). It is used to represent the population correlation coefficient, which measures the strength and direction of the linear relationship between two continuous variables. The Pearson correlation coefficient, denoted as "r," is an estimate of the population correlation coefficient based on a sample of data.

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Answer:

C

Step-by-step explanation:

f(x) • g(x)

= \(\sqrt{x^2+12x+36}\) × (x³ - 12)

= \(\sqrt{(x+6)^2}\) × (x³ - 12)

= (x + 6)(x³ - 12)

= x(x³ - 12) + 6(x³ - 12) ← distribute parenthesis

= \(x^{4}\) - 12x + 6x³ - 72

= \(x^{4}\) + 6x³ - 12x - 72

Answer:

See photo

Step-by-step explanation:

Plato/Edmentum