Which situation results in a final value of zero?

The ratios are not equivalent.

Answer:

C. ∠1 and ∠3 are vertical angles and congruent.

The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:

So, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.

It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.

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AC = 25 units is the length of AD.

The Geometric Mean (Altitude) Theorem (9.7) The hypotenuse of a right triangle is split into two pieces by the height from the right angle. The geometric mean of the lengths of the two hypotenuse segments determines how long the altitude is.

Length of BC = 10 units

Length of DC = 4 units

We will use geometric mean theorem in the given right triangle to get the length of side AC.

[tex]hypotenuse/leg=leg/projection\\AC/BC=BC/DC\\x/10=10/4\\x=25[/tex]

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Answer:

Answer: Tomatoes If you multiply 10 x 0.69 (for onions) it would be 6.9If you multiply 100 x 0.99 (for tomatoes) it would be 99Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69Which are the most? Tomatoes.~ Hope this helps

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Answer:

1.0833333333333333333333333333333333 (repeats)

Step-by-step explanation:

use a calculator

2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² + 11.3m - 8.7

The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).

It is a given that the quadratic equation has two roots. Roots might have either a true or made-up nature.

2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² - 3.5(4m- 1.4) + 3.6(8m -4.5m) which is equivalent to 2.2m² - 14m + 4.9 + 25.2m - 12.6m which is equivalent to 2.2m² + 11.3m - 8.7

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Answer:

7:50 am in the morning

Step-by-step explanation:

17:50pm = 5:50pm

first simply this by only adding 12 hours

12 hours later- 5:50 am

Then add 2 hours to get the answer

14 hours- 7:50 am in the morning.

( I think)

...

Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.

let's first try to understand what are numbers.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers

a helpful collection of numbers

that reflects the number's algebraic and mathematical structure.

offers a common depiction.

Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.

So 10 is an even number.

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Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.

Here we have the following statement:

"The point (1, r) on the graph of a proportional relationship shows the unit rate r."

First, remember that a proportional relationship between two variables x and y can be written as:

y = k*x

There k is what we call the constant of proportionality or the unit rate.

If we evaluate that equation in x = 1, we will get:

y = k*1

y = k

Then we have the point (1, k).

In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.

So the statement is true.

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Step-by-step explanation:

The Radius of the larger semi circle = [tex]\frac{12}{2}[/tex] = [tex]6[/tex][tex]cm[/tex]

Area of the 2 larger semi Circles = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]

                                                  = [tex]\frac{3.14X(6)^{2} }{2} X 2[/tex]

                                                   = [tex]\frac{113.04}{2} X2[/tex]

                                                    = [tex]113.04[/tex] [tex]cm^{2}[/tex]

Radius of the smaller semi circle = [tex]\frac{5}{2} = 2.5cm[/tex]

Area of the smaller semi circle = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]

                                                    = [tex]\frac{3,14X(2.5)^{2} }{2} X 2[/tex]

                                                     = [tex]196.25[/tex][tex]cm^{2}[/tex]

Combined Area = [tex]113.04 + 196.25[/tex]

                           = [tex]309 . 29cm^{2}[/tex]

Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .

What is an isosceles triangle simple definition?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles

the sum of triangle is 180, sum of all the interior angles is equal to 180.

so if you know two angles then apply sum of triangles and find out the value of the third triangle.

isosceles triangle

An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

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Definition of a rectangle

Explanation:

A rectangle has two sets of parallel sides, and those opposite sides are the same length. This is simply the definition of what it means to be a rectangle. Because ABCD is a rectangle, we have these two pairs of congruent opposite sides:

Answer: 72 feet²

Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²

The value of exponent x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4, in the given equation.

Exponent is the process of expressing large numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6×6×6×6. 6⁴ can be used to represent this. In this case, the base is 6 and the exponent is 4. You can interpret this as 6 raised to the power of 4.

Exponents are represented by the symbol. The word "carrot" refers to this symbol (). 4 raised to a power of two, for instance, can be expressed as 4^2 or 4². Thus, 4^2 = 4 × 4 = 16. A few exponent-based numerical expressions are represented in the table below.

The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex]

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

Thus, The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4.

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By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.

What is standard deviation in math?

The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.

                           A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.

Given,

         mean (μ) = 142000

  standard deviation (σ ) = 7000

 By using empirial rule,

                    P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%

   Then,

             P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%

    P( 135000 ≤ x ≤ 149000 ) ≅ 68%

68% housing price are between a low price of $135000 and a high price of $149000.

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So I have 5 and 3 notes each

You need to use simultaneous equations to solve this problem since there are 2 variables.

50x + 100y = 550 (value of the notes x the number of each note)

x + y = 8 (the number of each note added).

Multiply the second equation by 50 so that it the x variables are the same in both equations. Thus, 50x + 50y = 400.

Subtract 50x + 50y = 400 from 50x + 100y = 550.

The subtraction results in 50y = 150.

Divide by 50. y = 3, so x must equal 5.

So I have 5 and 3 notes each

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Answer:

[tex]x=-2,1[/tex]

Step-by-step explanation:

[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]

(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.

(b) - The researcher can use the results of the study to make generalization to the entire population.

Bias

A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.

generalization

It is the tendency to respond in the same way to different but similar stimuli.

A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.

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1.908 miles Abraham run on Tuesday than on Monday.

Step 1

Monday he run 3.18 miles

Tuesday he run 1.6 times than Monday

how many more miles miles he run?

Step 2

3.18*(1.6-1)

1.6-1 is 1.6 times further than he did on Monday

Step3

3.18*(1.6-1)

=3.18*0.6

=1.908

he run on Tuesday than on Monday is 1.908

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Abraham ran 1.908 more miles on Tuesday than it was on Monday, based on the information provided.

The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

First, he ran 3.18 miles on Monday.

He ran 1.6 times more on Tuesday than on Monday.

how many kilometers did he run in total?

Step 2\s3.18*(1.6-1) (1.6-1)

One and a half times closer than he was on Monday at 1.6-1

Step3\s3.18*(1.6-1)\s=3.18*0.6\s=1.908

He ran 2.908 more on Tuesday than it does on Monday.

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Step-by-step explanation:

i. AD = BC= 6cm (each two opposite sides are equal in length in parallelogram)

ii.DC=AB=9cm (each two opposite sides are equal in length in parallelogram)

iii.DCB=60 ,, bec DC and AB are parallel so their interior angles are supplementary their sum equals 180°

so DCB = 180-120=60°

iv.ADC=ABC = 120° because each two opposite angles are equal in measure in parallelogram

v. DAB=DCB =60° because each two opposite angles are equal in measure in parallelogram

vi. OC=AO =7cm because the diagonals of parallelogram bisect each other

vii. OB=DO=5cm because the diagonals of parallelogram bisect each other

viii . DAB=60° ,, CDA= 120 °

DAB+CDA =180°

or you could simply say that because DC and AB are parallel their interior angles are supplementary their sum is 180°

The coefficient of [tex]x^{2}[/tex] in [tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex] is -3.

A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves. The coefficient in an expression that is not related to any variables is called the constant coefficient (also known as constant term or free coefficient).

Given equation,

[tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex]

= [tex]2x^{2}-3x-4-5x^{2}-6x+7[/tex]

= [tex]-3x^{2}-9x+3[/tex]

Hence, coefficient of [tex]x^{2}[/tex] is -3.

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Answer:

x ≈ 18.6

Step-by-step explanation:

using the tangent ratio in the right triangle

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )

x × tan37° = 14 ( divide both sides by tan37° )

x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )

Answer:

2√14

Step-by-step explanation:

√56 = √4 × √14

which is

2√14

The maximum possible width of the box will be equivalent to

w = (V/302.4).

The volume of cuboid is given by -

V{C} = Length x Breadth x Height

Given is a piece of luggage has a height of 20.5 inches and a length of 14.75 inches.

We can write the volume of the box as -

V{b} = L x B x H

Assume the volume of the box is {V} cubic inches and its width be {w} inches. So, we can write the inequality as -

(20.5 x 14.75 x w) = V

w = (V/302.4)

Therefore, the maximum possible width of the box will be equivalent to

w = (V/302.4).

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Answer:

The worded problem translates to n  ≤ 3

The options that are solutions to the problem are 1 and 4:

1) n less than or equal to 3, and

4) 3 greater than or equal to n   (since 3 ≥ n)

Step-by-step explanation:

Let's translate the e=words into expressions:

"five plus two times a number n"  becomes 5 + 2n

"is less than or equal to eleven" becomes ≤ 11

Put the two expressions together, with the word "is" and the "=" sign:  

     5 + 2n ≤ 11

Solving:  

   2n  ≤ 11 - 5

   2n  ≤ 6

   n  ≤ 3

The options are:

1) n less than or equal to 3   Correct

2) 3 less than or equal to n   Incorrect.  3 is greater than or equal to n

3) n less than or equal to 8   Incorrect.  n is less than or equal to 3

4) 3 greater than or equal to n    Correct   3 ≥ n

For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by  $26786.2.

As given in the question,

Principal amount 'P' = $128,000

Time 't' = 15 years

Rate of interest 'r' = 5.5%

                             = 0.055

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 5.5 / 100 )^15

  = $285756.99

Now when the rate of interest is changed to

Rate of interest 'r' = 4.81%

                             = 0.0481

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 4.81 / 100 )^15

  = $258970.79

Now, the cost of four points is given by:

= $( 285756.99 - 258970.79 )

= $ 26786.2

Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to  $26786.2.

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The solution of the equation is x = 6, y = 0.

1. Subtract the two equations:

   x3y6 - 2x3y12 = 0

2. Simplify both sides of the equation:

   x3y - 2x3y = 0

3. Simplify further calculations:

   x3(y - 2y) = 0

4. Factorize the expression:

   x(y - 2y) = 0

5. Solve for x:

   x = 0

6. Substitute x = 0 into either equation:

   3y = 6

7. Solve for y:

   y = 2

8. Substitute y = 2 into either equation given above:

   x = 6

The solution of the equation is x = 6, y = 2.

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The length of each of the four walls of the birdhouse is 5.5 inches, so the total length of all four walls is approximately 4 x 5.5 = 22 inches. Therefore, Javi's board is long enough to be cut into the four walls of the birdhouse.

Walls. Utilize the conventional equation Length x Width = Area to get the area of a wall. Next, apply the same calculation to each window and door's specific area. Subtract the area of the windows and doors from the overall size of the wall once you have recorded all of these dimensions.

The birdhouse must have four walls that are each 5.5 inches thick.

one room needs four walls because of the length of its four walls.

4*5.5=22

A board measuring 24.5 inches long is in Javi's possession. In order to cut through the birdhouse's four walls, it is sufficient.

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The volume of the cake Lani is making is 314 inches³.

Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:

V = πr²h/3

where V = volume

r = radius of the base of the cone

h = height of the cone

π = 3.14

If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.

Plug in the values to the formula and solve for the volume.

V = πr²h/3

V = (3.14)(5 inches)²(12 inches)/3

V = 314 inches³

Hence, the volume of the cake is 314 inches³.

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