Which two equations would be most appropriately solved by using the zero product property? Select each correct answer. Responses 3x2−6x=0 3 x squared minus 6 x equals 0 4x² = 13 4, x, ² = 13 0.25x2+0.8x−8=0 0.25 x squared plus 0.8 x minus 8 equals zero −(x−1)(x+9)=0

Answer: Without the options for the vector matrices resulting from rotation, I cannot provide a specific matching. However, I can provide the general formula for rotating a vector by an angle of θ degrees counterclockwise as follows:

To rotate a vector with coordinates (x, y) counterclockwise about the origin by an angle of θ degrees, we use the following formula to find the new coordinates (x', y'):

x' = xcos(θ) - ysin(θ)

y' = xsin(θ) + ycos(θ)

Therefore, to obtain the vector matrix resulting from rotating the vector (-6, -3) by a certain angle of rotation, we plug in the values of x = -6 and y = -3 into the above formulas, and use the corresponding angle of rotation in degrees for θ.

Step-by-step explanation:

Answer: There are a total of 6 x 6 = 36 possible outcomes when rolling a pair of dice. We can count the number of outcomes where the sum of the dice is odd or a multiple of 3.

For the sum to be odd, we can have:

A 1 on one die and an even number on the other, or

A 3 on one die and an even number on the other, or

A 5 on one die and an even number on the other, or

A 2 on one die and an odd number on the other, or

A 4 on one die and an odd number on the other, or

A 6 on one die and an odd number on the other.

There are a total of 18 outcomes that satisfy this condition.

For the sum to be a multiple of 3, we can have:

A 1 on one die and a 2 on the other, or

A 1 on one die and a 5 on the other, or

A 2 on one die and a 1 on the other, or

A 2 on one die and a 4 on the other, or

A 3 on one die and a 3 on the other, or

A 4 on one die and a 2 on the other, or

A 4 on one die and a 5 on the other, or

A 5 on one die and a 1 on the other, or

A 5 on one die and a 4 on the other, or

A 6 on one die and a 3 on the other.

There are a total of 10 outcomes that satisfy this condition.

However, we have counted twice the outcomes that satisfy both conditions (i.e., the outcomes where the sum is both odd and a multiple of 3). There are 5 such outcomes: (1,2), (1,5), (5,1), (5,4), and (4,5).

Therefore, the total number of outcomes where the sum of the pair of dice is odd or a multiple of 3 is 18 + 10 - 5 = 23.

The probability of getting one of these outcomes is therefore 23/36.

Step-by-step explanation:

the height needed to reach the desired volume of the sandbox is 13.75 inches. The family can build the sandbox with these dimensions: 71.5 inches length, 60 inches width, and 13.75 inches height.

How to solve the question?

To find the height of the rectangular prism sandbox, we can use the formula for the volume of a rectangular prism, which is:

V = l × w × h

Where V is the volume, l is the length, w is the width, and h is the height.

We know that the volume of the sandbox is 43,972.5 cubic inches, and the length and width are 71.5 inches and 60 inches, respectively. So we can plug in these values into the formula and solve for h:

43,972.5 = 71.5 × 60 × h

Divide both sides by (71.5 x 60):

h = 43,972.5 / (71.5 x 60)

h = 13.75 inches

Therefore, the height needed to reach the desired volume of the sandbox is 13.75 inches. The family can build the sandbox with these dimensions: 71.5 inches length, 60 inches width, and 13.75 inches height.

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Answer: 9.2 inches

Step-by-step explanation: i took the test

have a good day and year and life!

The flow chart is complete and the answers are given below.

Those figures that have same shape and size are called Congruent Figures.

The flow diagram will be completed as follows

∠2 ≅ ∠4 (  vertical angle theorem )

∠1   ≅  ∠2  ( Given )

∠1  ≅ ∠ 3  ( Vertical Angle Theorem)

∠3   ≅  ∠4  ( Transitive Property of congruence)

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Answer:

y = 0.028t + 230,000 Step-by-step explanation: We know t = number of years since the start of the study y = be the city's population Each year the population

Step-by-step explanation:

After solving the given expression 2 - 0.4 ÷ 0.2 the resultant answer is an integer which is 0.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.

The inverse additives of the equivalent positive numbers are the negative numbers.

The boldface Z is a common mathematical symbol for the set of integers.

Numbers that are negative: -1, -2, -3, -4, -5, and so on indefinitely.

Non-negative integers include 0 and all whole numbers that are positive, such as 6, 7, 8, 9, 10, and so forth.

Positive integers include 1, 2, 3, 4, 5, and on indefinitely.

So, we have the expression:

= 2 - 0.4 ÷ 0.2

Now, evaluate using the BODMAS rule as follows:

= 2 - 0.4 ÷ 0.2

= 2 - 2

= 0

Therefore, after solving the given expression 2 - 0.4 ÷ 0.2 the resultant answer is an integer which is 0.

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An equation of the trend line in the scatter plot is equal to y = -4x/9 + 9.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (5 - 9)/(9 - 0)

Slope (m) = -4/9

At data point (0, 9) and a slope of -4/9, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 9 = -4/9(x - 0)  

y - 9 = -4x/9

y = -4x/9 + 9

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Answer:

-3x² +7x - 18

Step-by-step explanation:

Subtraction of expression:

   Multiply each term of 5x² - x + 7 by (-1)

2x² + 6x - 11 - (5x² - x + 7) = 2x² + 6x - 11 - 5x² + x - 7

Combine like terms. Like terms have same variable with same exponent.

2x² and (-5x²) are like terms. 2x² - 5x² = -3x²

6x and x are like terms. 6x + x = 7x

-11 and (-7) are constants. -11 - 7= -18

                                         = 2x² - 5x² + 6x + x - 11 - 7

                                         = -3x² + 7x - 18

Answer:

The given expression is:

m/T = 0(9x-17) / (T(4x + 28)S R)

Since the numerator is multiplied by 0, the entire expression becomes 0, regardless of the value of the denominator. Division by 0 is undefined in mathematics, as it is not a valid operation. Therefore, the result of m/T in this case is undefined.

You can double check urself ;D

By using synthetic substitution on f(x)=x²-9x+5, f(x) = -13. Hence option C is the correct answer.

Synthetic substitution is a method used to evaluate a polynomial function for a specific value of the independent variable. This method involves setting up a table with the coefficients of the polynomial and the value we are substituting. Then, we use synthetic division to perform the substitution and find the corresponding value of the function.

1) To use synthetic substitution, we first write the coefficients of the polynomial in descending order of their powers.

2) Next, we set up a table with the coefficients and the value we are substituting, which is typically denoted by a vertical line.

3) Then, we use synthetic division to perform the substitution. To do this, we bring down the first coefficient, multiply it by the substitution value, and write the result underneath the next coefficient. We then add this result to the next coefficient, and repeat the process until we reach the last coefficient. The final value is the result of the substitution, which is the value of the function for the given argument.

To use synthetic substitution, we first set up a table with the coefficients of the polynomial f(x) and the value we are substituting, which is 3 in this case:

x \ f(x)        1         -9        5

3  

Then, we bring down the first coefficient, which is 1, and multiply it by the substitution value, 3, to get 3. We write this value underneath the second coefficient:

x \ f(x)        1         -9        5

3           3

Next, we add the 3 and the -9 to get -6, and multiply this value by the substitution value, 3, to get -18. We write this value underneath the third coefficient:

x \ f(x)        1         -9        5

3           3            -6

Finally, we add the -18 and the 5 to get -13, which is the value of f(3):

x \ f(x)        1         -9        5

3           3            -6          -13

Therefore, f(3) = -13.

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The value of c in cubic and quadratic function is -6

When x = -1, the equation of the line becomes:

y = 3(-1) + 4 = 1

We can substitute this value of y into the equation of the curve:

1 = -2(-1)³ - 3(-1)² + 8(-1) + c

Simplifying and solving for c, we get:

1 = 2 - 3 + 8 + c

c = -6

Therefore, the value of c is -6.

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Note that the %DV for saturated fat in this 2 tbsp serving size is approximately 18%.

To calculate the %DV for saturated fat, we need to first calculate how many grams of saturated fat are in the 2 tablespoon (tbsp) serving size.

From the label, we see that the serving size contains 3.5g of saturated fat.

To calculate the %DV for saturated fat, we use the equation:

%DV = (amount of nutrient per serving / DV) x 100%

Plugging in the values for saturated fat, we get:

%DV = (3.5g / 19g) x 100%

%DV = 0.1842 x 100%

%DV ≈ 18%

Therefore, the %DV for saturated fat in this 2 tbsp serving size is approximately 18%.

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Answer:

D. b=1/4

Step-by-step explanation:

Answer: 46 ft by 92 ft

Step-by-step explanation:

The largest area is enclosed when half the fence is used parallel to the wall and the other half is used for the two ends of the fenced area perpendicular to the wall. Half the fence is 184 ft/2 = 92 ft. Half that is used for each end of the enclosure.

The magnitude of the normal( vertical) element is = 48.5 pounds

The magnitude of the element of the force parallel to the ramp = 12.09 pounds

The term" magnitude" refers to an object's topmost size and direction. Scalar and vector amounts both use magnitude as a common factor. We're apprehensive that scalar amounts are those that have just magnitude by description. Those amounts with both magnitude and direction are considered vector amounts.

A force is an effect that changes, or accelerates, the haste of a mass- moving object( similar as one that's travelling from a state of rest). It's a vector quantity since it can be a drive or a pull and always has magnitude and direction. It's denoted by the letter F and is measured in newtons( N), the SI unit of force.

According to question,

Magnitude of normal element = X/ 50 = Cos14

= 48.5 pounds

Magnitude of parallel element = Y/ 50 = Sin10

= 12.09 pounds

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Answer:

3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20, etc...

Step-by-step explanation:

The left digit it always half of the one on the right, increasing by one every time.

1/2 ===> 2/4 ===> 3/6 ===> 4/8...

Answer:

-5

Step-by-step explanation:

subtract 25 by 25 and do it to the other side than the last thing to do is just divided 15 by -3 and we get -5.

PLS GIVE BRAINLIST
have a nice day

Answer:

-3x=40-25

resta los términos

-3x=15

multiplica ambos lados

3x( -1/3)=15 (-1/3)

3x(-1/3)=-5

x=-5

The surface soil of the entire garden within the fencing that needs to be turned prior to planting is approximately 176.625 square feet.

Radius is a mathematical term that refers to the distance from the center of a circle, sphere, or other curved object to any point on its circumference or surface. It is typically denoted by the letter "r".

Let's call the radius of the circular garden "r". We know that the circumference of the garden (the length of the fence) is 47.1 feet, so we can set up the equation:

2πr = 47.1

Simplifying this equation by dividing both sides by 2π, we get:

r = 47.1/(2π)

Using 3.14 as a substitute for π, we can calculate:

r ≈ 7.5 feet

Now that we know the radius of the garden, we can calculate the area of the garden by using the formula for the area of a circle:

A = πr²

A = 3.14 * 7.5²

A ≈ 176.625 square feet

Therefore, the surface soil of the entire garden within the fencing that needs to be turned prior to planting is approximately 176.625 square feet.

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Therefore, the reference angle of 7π/4 is 3π/4, and tan 0 = 1.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, especially right triangles. It involves the study of trigonometric functions such as sine, cosine, tangent, and their inverses, as well as their applications in various fields such as physics, engineering, and navigation. Trigonometry is an important tool for solving problems involving angles, distances, and heights, among others.

Here,

The reference angle for an angle θ is the positive acute angle formed by the terminal side of θ and the x-axis.

To find the reference angle for 7π/4, we can subtract π from it since the angle is in the fourth quadrant.

Reference angle = 7π/4 - π

= 3π/4

To find tan 0, we need to use the tangent function:

tan θ = opposite/adjacent

Since we don't know the sides of the triangle, we need to use the reference angle to find the ratio.

The reference angle of 3π/4 is in the second quadrant, where x is negative and y is positive. We can draw a triangle with sides of length 1, 1, and √2, where the hypotenuse is the line with angle 3π/4.

Then, tan(3π/4) = opposite/adjacent

= 1/-1

= -1

So, tan 0 = tan (7π/4)

= tan (3π/4 + π)

= -tan(3π/4)

= -(-1)

= 1.

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Answer:

x and y are the variables.

Step-by-step explanation:

The value of cos(7π/6) = -√3/2

Explain values

Values are principles or beliefs that guide our behavior and decision-making. They are deeply ingrained in our personalities and are shaped by our upbringing, culture, and experiences. Values can be ethical, moral, social, or personal and influence how we prioritize our goals and interact with others. Understanding our own values can help us make better choices, build stronger relationships, and lead a more fulfilling life.

According to the given information

The cosine of π/6 is √3/2, so the cosine of 7π/6 is:

cos(7π/6) = -cos(π/6) = -√3/2

Therefore, cos(7π/6) = -√3/2.

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Answer:

-√3/2

Steps:

Rewrite the angle as a sum or difference with its reference angle:cos ([tex]\pi[/tex] + [tex]\frac{\pi }{6}[/tex])

Simplify the expression using the general reduction formula: -([tex]\frac{\pi }{6}[/tex])

Evaluate the expression: -√3/2

The only equations n + 6 = 12 and 4 • n = 24 have n = 6 as a solution.

An equation is a collection of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division that are balanced by the equal sign. The equation's right-hand side (RHS) is on the right, and its left-hand side (LHS) is on the left.

To check if a given equation has n = 6 as a solution, we simply substitute n = 6 into the equation and see if it is true.

2 + n = 6 : 2 + 6 = 8, not true for n = 6.

n + 6 = 12 : 6 + 6 = 12, true for n = 6.

4 • n = 24 : 4 • 6 = 24, true for n = 6.

n • 3 = 2 : 6 • 3 = 18, not true for n = 6.

Therefore, only the equations n + 6 = 12 and 4 • n = 24 have n = 6 as a solution.

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Answer:

mAngleABC = 76°

Step-by-step explanation:

AD is a diameter. So arcAD is half of the circle, that's 180°.

arcCD = 28°

arcAC + arcCD = 180°

arcAC + 28° = 180°

subtract 28°

arcAC = 152°

AngleABC is an inscribed angle (vertex is on the circle) so AngleABC is half of arcAC.

AngleABC

= 152 ÷ 2

= 76

AngleABC = 76°

Answer:

Ten times greater

Step-by-step explanation:

700 x 10 = 7000

Answer:

it will be ten times greater

Step-by-step explanation:

The shaded area covers around 0.8664 square feet of space.

The mean and standard deviation of the standard normal distribution are 0 and 1, respectively. The standard deviation shows how much a particular measurement deviates from the mean, and the standard normal distribution is centred at zero.

Using a conventional normal distribution table, we must first determine the areas to the left of z= -1.5 and z=1.5, and then subtract those two areas to determine the area of the shaded zone.

Using a standard normal distribution table, we find that the area to the left of z= -1.5 is 0.0668, and the area to the left of z=1.5 is 0.9332. As a result, the darkened region's area is:

0.9332 - 0.0668 = 0.8664

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a) The angular velocity = 0.4π rad/s b) The linear velocity of the hamster = 4π cm/s.

Linear velocity is the rate of change of an object's position with respect to time. It measures how fast an object is moving in a straight line, and is often expressed in units of distance per time, such as meters per second or kilometers per hour.

a) The angular velocity of the wheel can be calculated as follows:

Angular velocity = (2π * number of revolutions) / time

Here, the wheel completes one revolution in 5 seconds, so the number of revolutions is 1 and the time is 5 seconds. Therefore,

Angular velocity = (2π * 1) / 5

Angular velocity = 0.4π rad/s (or approximately 1.26 rad/s)

b) The linear velocity of the hamster can be calculated as follows:

Linear velocity = radius * angular velocity

Here, the radius of the wheel is 10 cm, and the angular velocity we found in part (a) is 0.4π rad/s. Therefore,

Linear velocity = 10 cm * 0.4π rad/s

Linear velocity = 4π cm/s (or approximately 12.57 cm/s)

So the hamster is running at a linear velocity of approximately 12.57 cm/s.

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Answer:

x = 0, x = -2

Step-by-step explanation:

We are given that the two fractions are equal. Similarly to proportions, we can multiply the "means" and "extremes," and then set them equal to each other. For example,

[tex]\frac{a}{b} = \frac{c}{d} =\\ad=cd[/tex]

Let's do this with the given algebraic fractions.

[tex]\frac{2x}{2x+4} = \frac{3x}{x+2} =\\ 2x(x+2) = 3x(2x+4) =\\2x^2+4x=6x^2+12x\\[/tex]

Now that we've simplified the products, let's operate on the like terms.

[tex]2x^2+4x=6x^2+12x=\\4x^2+8x = 0[/tex]

Take these two terms and factor out their greatest common factor.

[tex]4x^2+8x= 0 =\\4x(x+2) = 0[/tex]

When two things are being multiplied, and the product is zero, it must mean that at least one of the factors equals zero (since zero times any number equals zero). Let's set each factor equal to zero.

[tex]4x = 0 =\\x = 0[/tex]

So, one of our answers is x = 0.

[tex]x+2=0 =\\x = -2[/tex]

Our other answer is x = -2.

So, the answer is x = 0 and x = -2.

Answer:

8

Step-by-step explanation:

Let's use algebra to solve the problem.

Let x be the number we're looking for.

The problem states that "the sum of a number and 2 is 6 less than twice that number", which can be written as:

x + 2 = 2x - 6

To solve for x, we need to isolate it on one side of the equation. We can start by subtracting x from both sides:

x + 2 - x = 2x - 6 - x

Simplifying:

2 = x - 6

Now we can isolate x by adding 6 to both sides:

2 + 6 = x - 6 + 6

Simplifying:

8 = x

Therefore, the number we're looking for is 8.

Answer:

8

Step-by-step explanation:

So, multiple choice algebra questions. the correct answer would be option D: [tex]3x^7 - 6x^6 - 11x^4 + 4x^5 - 4x^2[/tex].

To simplify the given expression [tex](3x^4+4x^2) (x^3-2x^2-1)[/tex], we can use the distributive property of multiplication to multiply each term of the first expression by each term of the second expression. This gives us:

[tex](3x^4+4x^2) (x^3-2x^2-1) \\= 3x^4(x^3) + 3x^4(-2x^2) + 3x^4(-1) + 4x^2(x^3) - 4x^2(2x^2) - 4x^2(1)[/tex]

Simplifying each term, we get:

[tex]= 3x^7 - 6x^6 - 3x^4 + 4x^5 - 8x^4 - 4x^2[/tex]

So, the correct answer would be option D: [tex]3x^7 - 6x^6 - 11x^4 + 4x^5 - 4x^2.[/tex]

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