An advertisement in a magazine has a width of 80 mm and a height of 125 mm. Find
the units for the perimeter of the rectangle defined by this advertisement.

Answer:

\( \frac{6}{9} \)

or

\( \frac{2}{3} \)

Step-by-step explanation:

There are nine in total and she has eaten 6, so the fraction would be 6/9.

If you need to simplify it it would be 2/3.

To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

Answer:

3/10

Step-by-step explanation:

Find a common denominator for both fractions.

4/5 - 1/2 = 8/10 - 5/10

Answer:

No

Explanation:

The spinner is divided into 10 parts.

Multiples of 2 are: 2, 4, 6, 8, and 10

Number of multiples of 2 = 5

Multiples of 3 are: 3, 6, and 9

Number of multiples of 3 = 3

We see that the chances are not equal since 5/10 is not equal to 3/10.

Answer:

3.8723

Step-by-step explanation:

\(sin(\theta) = \frac{1}{4}\)

So \(\theta = sin^{-1}(\frac{1}{4}) = 0.25268\) radians or \(14.48^{\circ \:}\)

\(\frac{\pi}{2}} \text\;in\;radians=90 ^{\circ}\)

\(\text{So\;} \frac{\pi}{2} - \theta = 90 - 14.48 = 75.52^{\circ}\)

\(\tan(\frac{\pi}{2}-\theta) = \tan(75.52) = 3.8723\)

Answer:

(-74)/15

Step-by-step explanation:

Simplify the following:

(1 + 5/9)/((-2)/3) - (2 + 3/5)

Multiply the numerator of (1 + 5/9)/((-2)/3) by the reciprocal of the denominator. (1 + 5/9)/((-2)/3) = ((1 + 5/9)×3)/(-2):

((5/9 + 1) 3)/(-2) - (2 + 3/5)

Put 1 + 5/9 over the common denominator 9. 1 + 5/9 = 9/9 + 5/9:

(9/9 + 5/9 3)/(-2) - (2 + 3/5)

9/9 + 5/9 = (9 + 5)/9:

((9 + 5)/9×3)/(-2) - (2 + 3/5)

9 + 5 = 14:

(14/9×3)/(-2) - (2 + 3/5)

14/9×3 = (14×3)/9:

((14×3)/9)/(-2) - (2 + 3/5)

((14×3)/9)/(-2) = (14×3)/(9 (-2)):

(14×3)/(9 (-2)) - (2 + 3/5)

3/9 = 3/(3×3) = 1/3:

14/(3 (-2)) - (2 + 3/5)

The gcd of 14 and -2 is 2, so 14/(3 (-2)) = (2×7)/(3 (2 (-1))) = 2/2×7/(3 (-1)) = 7/(3 (-1)):

7/(3×-1) - (2 + 3/5)

Put 2 + 3/5 over the common denominator 5. 2 + 3/5 = (5×2)/5 + 3/5:

7/(-3) - (5×2)/5 + 3/5

5×2 = 10:

7/(-3) - (10/5 + 3/5)

10/5 + 3/5 = (10 + 3)/5:

7/(-3) - (10 + 3)/5

10 + 3 = 13:

7/(-3) - 13/5

Multiply numerator and denominator of 7/(-3) by -1:

(-7)/3 - 13/5

Put (-7)/3 - 13/5 over the common denominator 15. (-7)/3 - 13/5 = (5 (-7))/15 + (3 (-13))/15:

(5 (-7))/15 + (3 (-13))/15

5 (-7) = -35:

(-35)/15 + (3 (-13))/15

3 (-13) = -39:

(-35)/15 + (-39)/15

-35/15 - 39/15 = (-35 - 39)/15:

(-35 - 39)/15

-35 - 39 = -(35 + 39):

(-(35 + 39))/15

| 1 |  

| 3 | 9

+ | 3 | 5

| 7 | 4:

Answer: (-74)/15

Answer:

$100

Step-by-step explanation:

12x5=60

+40= $100

Answer:

$100

Step-by-step explanation:

This is easy

12x5=60

+40=$100

Answer:the first bowl

Step-by-step explanation:

The first bowl is the answer :)

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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Answer:

what do you mean? what's the question?

Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

Answer:

a) 0.0004

b) 0.9604

c) 0.02

Step-by-step explanation:

When trying to find the probability of a sequence occurring you would simply need to multiply the probability of both of those things occurring together. Since the probability of an alternator failing is 0.02 then the probability of both failing would be...

0.02 * 0.02 = 0.0004

Now the probability of an alternator not failing is 0.98 (100% or 1 minus 0.02) therefore, the probability of both failing would be...

0.98 * 0.98 = 0.9604

Finally, the probability of one or the other failing would simply be the same as the probability of a single alternator failing which is 0.02

Here is the code to create the "game" object with the specified properties and methods:

let game = {

 winner: {

   name: "Team A",

   score: 10

 },

 loser: {

   name: "Team B",

   score: 5

 },

 getmarginofvictory: function() {

   return this.winner.score - this.loser.score;

 },

 showsummary: function() {

   console.log(`Winner: ${this.winner.name} (${this.winner.score})`);

   console.log(`Loser: ${this.loser.name} (${this.loser.score})`);

   console.log(`Margin of Victory: ${this.getmarginofvictory()}`);

 }

};

game.showsummary();

This code creates an object in JavaScript called "game" that represents a competition between two opponents or teams. The game object has properties called "winner" and "loser", which are objects themselves with properties "name" and "score".

The game object also has two methods: getmarginofvictory and showsummary. The getmarginofvictory method returns the difference between the winner's score and the loser's score, and the showsummary method outputs to the console the winner's name and score, the loser's name and score, and the margin of victory.

You can use the game object by calling its methods, such as game.showsummary(), which will display the summary of the competition to the console.

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Answer:

1.5 or 1 1/2

Step-by-step explanation:

2x+7=10 (subtract 7 from both sides)

2x=10-7

2x=3 (divide both sides by 2)

X=3/2  

Simplify

X= 1.5 or 1 1/2

0.0001 is a very small number, so we will use the scientific notation to help us answer this. When using the scientific notation with very small numbers, we will multiply this number by 10. When we multiply a decimal, we "move" the decimal place to the right. The scientific notation states we will multiply until we get a number greater or equal to one, but less then 10. Our process will look something like this.

0.0001 -> 0.001 -> 0.01 -> 0.1 -> 1

We now have a number greater or equal to 1 but less then 10- which is 1!

Now, we have to find our exponent. How many times did we multiply by 10?

We multiplied 4 times. So now we have 10^4. But we are not done. For very small numbers, the exponent is negative, so our exponent is negative, In which leaves us with the answer of 10^-4.

With best wishes- Asia Gil <3

m is the average number of miles which is 4.3 miles

Total miles Genesis travel in a week is 42.8 miles.

Here we have to find m which is the average number of miles she would travel.

She ride for 6 more days and had already traveled 5 miles.

From the above question, we have an equation

5 + 6m = 42.8

6m = 37.8

m = 6.3

Therefore m is 6.3 which is the average number of miles Genesis will ride to meet her goal.

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The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.

Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.

Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.

Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.

Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.

Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.

Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.

For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.

The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.

Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.

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Answer:

12$

Step-by-step explanation:

He borrowed 4$ for three months.

4 x 3 = 12.

Answer = 12.

Hope this helps!

(Brainliest would mean a lot to me, thanks!)

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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Answer:

6 Hours

Step-by-step explanation:

If the rate is -3, that means there is an hourly change of 3 degrees. To get to 18, you must divide 18 by 3.

18÷3=6

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).

In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:

x = a(y - k)² + h.

Where:

By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:

h = 0

k = 0

a = positive.

x = a(y - k)² + h.

x = a(y - 0)² + 0.

x = ay²

Therefore, a possible equation is x = 1/12(y²).

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Answer:

To find the fraction of the total audience that were students or teachers, you need to add the fractions of students and teachers and simplify the result.

5/12 + 1/8 = (53) / (123) + (16) / (86) = 15/36 + 6/48 = 15/36 + 3/24 = 18/36 + 3/24 = (18+3) / (36+24) = 21/60

So 21/60 of the total audience were students or teachers.

Answer:

minimum point is (3, -25) and maximum point is (-1, 7)

Step-by-step explanation:

f(x) = x³ - 3x² - 9x + 2

Differentiate:

f'(x) = 3x² - 6x - 9

Equal f'(x) to zero and solve to find values of x:

            f'(x) = 0

3x² - 6x - 9 = 0

(x - 3)(x + 1) = 0

               x = 3, -1

Plug in values of x into original function to find coordinates of  turning/stationary points:  (3, -25) and (-1, 7)

Differentiate again:

f''(x) = 6x - 6

Plug in x value of stationary points to find nature of point:

f''(3) = 6(3) - 6 = 12 > 0 ⇒ minimum

f''(-1) = 6(3) - 6 = -12 < 0 ⇒ maximum

Therefore, the minimum point is (3, -25) and maximum point is (-1, 7)

The answers to the statements that have been made here are:

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Answer: 3/8

Step-by-step explanation:

5/8 of them want to, so you subtract 5/8 from 1

1-(5/8)

(8/8)-(5/8)

((8-5)/8)

3/8

The weight gain among your friends compare to the national average is 1.46.

\(\bar_x\) =  average of weight gain = 16.2

μ = population average = 15

σ = standard deviation = 2.6

n = sample size = 10

To compute the test statistic, first we will choose the correct method.

Test statistics have different method to calculate but often is z-test and t-test, for this test we will use t-test because is ideal for the sample size is under 30. So,

t = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}\)

= \(\frac{16.2 - 15}{\frac{2.6}{\sqrt{10}}}\)

= 1.459

= 1.46

Thus, the weight gain is 1.46 among your friends comparing to the national average.

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Answer:

A rrrrriiiiiiiiiiiigggggggggghhhhhhhhhttttttttttt