The price of an item has been reduced by 20%.The original price was $77.

Answer:

x = 32

Step-by-step explanation:

An isosceles trapezium is one in which non-parallel sides have equal measure.

For an isosceles trapezoid, it is a rule that the two opposite angles equal 180°

∴ 2x + 20  3x = 180

solving the above equation:

2x + 3x = 180 - 20

5x = 160

x = 160 ÷ 5

x = 32

A pattern that increases or decreases at a constant rate is a linear function

Question 1

From the table, we see that:

The rate of increment/decrement is constant for both variables.

Hence, question 1 represents a linear function

Question 2

From the table, we see that:

The rate of increment is not constant for variable y.

Hence, question 2 represents a nonlinear function

Question 2

From the table, we see that:

The rate of increment is not constant for variable y.

The complete table is:

\(\mathbf{Step\to Blocks}\)

\(\mathbf{1 \to 2}\)

\(\mathbf{2 \to 6}\)

\(\mathbf{3 \to 12}\)

\(\mathbf{4 \to 20}\)

Hence, question 3 represents a nonlinear function

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Bill has a total of 3 one-piece jumpsuits, 5 pairs of work pants, and 8 work shirts. To find the number of possible outfits he can wear to work, we can use the multiplication principle.

First, we need to determine how many choices Bill has for his top and bottom. He can either wear a jumpsuit or a combination of pants and a shirt. Therefore, he has 3 + (5 x 8) = 43 choices for his top and bottom.

Next, we can use the multiplication principle to determine the total number of possible outfits he can wear. Since he has 43 choices for his top and bottom, and each outfit combination is independent of the others, we can multiply the number of choices for his top and bottom by the number of one-piece jumpsuits he has.

Therefore, Bill has a total of 43 x 3 = 129 possible outfits he can wear to work.

In summary, Bill has 3 one-piece jumpsuits, 5 pairs of work pants, and 8 work shirts. He can wear either a jumpsuit or pants and a shirt to work. Using the multiplication principle, we determined that he has a total of 129 possible outfits he can wear.

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Answer:

n/4-9 +3

Step-by-step explanation:

to answer this question we have to analyze the information given.

The quotient of a number means the result of the division of 2 numbers.

In this case the numbers are: a number (n) and 4 . n/4

Nine less than that quotient means we have to subtract 9 to the quotient.

n/4-9

Increase by three: we simply have to add 3

n/4-9 +3

Feel free to ask for more if needed or if you did not understand something.

Answer:

10

Step-by-step explanation:

-12+22

10

Answer:

10

Step-by-step explanation:

Answer: A

Áp dụng định lý Pitago đảo:

MN^2 = ML^2 + LN^2

<=> 39^2 = 15^2 + 36^2

<=> 1521 = 1521 (luôn đúng)

Answer:

B) 3x-6y

Step-by-step explanation:

2x+x=3x

5y+y=6y

3x-6y

Answer:

A) 3x - 4y

(2x - 5y) + (x + y)

=> 2x - 5y + x + y

=> 2x + x - 5y + y ------(arranging the like terms together)

=> 3x - 4y

The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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Answer:

82

Step-by-step explanation:

opposite angles in a cyclic quadrilateral are supplimentary

Answer:

the answer is 4

Step-by-step explanation:

8x-1=5x+11

3x=12

x=4

We simplify fractions because doing so always makes them easier to work with or compute.

A fraction is a piece of the entire. The number is shown as a quotient in mathematics, where the numerator and denominator are split. Both are integers in a straightforward fraction. A fraction appears in a complex fraction's numerator or denominator. The numerator of a valid fraction is smaller than the denominator. A fraction is a mathematical concept that denotes a component of a whole or, more generally, any number of equal parts. As employed in conversational English, a fraction—such as one-half, eight-fifths, and three-quarters—indicates the number of components of a particular size. With fractions, smaller portions of a whole are represented. The whole may be made up of one thing or several things. In any case, they collectively constitute what is referred to as a whole.

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Answer:

-21x+233y/42

Step-by-step explanation:

Answer:

poop

Step-by-step explanation:

poopx607

Answer: Sue has 1 more brother than sisters

Step-by-step explanation:

The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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Answer:

9

Step-by-step explanation:

1 = 10%

9 = 90%

Answer:

(C) 275 in.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

4+16=20

Free samples or product trials as a type of sales promotion can be both beneficial and detrimental. They encourage consumers to try a product at reduced risk, but they can also reduce the perception of value for the product or service.

Offering free samples or product trials is a common sales promotion strategy to attract customers and encourage them to try a product or service. This approach has several benefits. Firstly, it lowers the perceived risk for consumers as they can experience the product without making a financial commitment upfront. This can be especially effective for new or unfamiliar products, as it allows potential customers to test the product's quality and functionality.

However, there can be drawbacks to this sales promotion technique. Providing free samples or trials can create the perception that the product or service has less value or is of lower quality. Consumers may develop a mindset of expecting free or discounted offerings, and it can undermine the willingness to pay the full price in the future. Additionally, if the free samples or trials are not managed effectively, it may attract individuals who are not genuinely interested in the product, leading to wastage of resources and potentially diluting the brand image.

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Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

\(6x^2 = 6.x.x\\6x^3 =6.x.x.x\)

The factored form is:

\(= 6.x.x+6.x.x.x\)

12) -6x^2 + (-6) x^3

Similarly, as 11

\(-6x 2 =-6.x.x\\-6x^3=-6.x.x.x\)

The factored form is:

\(=-6.x.x+ (-6).x.x.x\)

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

\(5x = 5.x\\8x = 8.x\)

The factored form is:

\(=5.x-8.x\)

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

The absolute minimum is -8, and the absolute maximum is 324 + 72√2.

To find the absolute maximum and absolute minimum of the function z = f(x, y) = 4x^2 + 8x + 4y^2 - 8y on the domain D: x^2 + y^2 ≤ 81, we can use the method of optimization.

Step 1: Determine the critical points.

To find the critical points, we need to find where the partial derivatives of f(x, y) with respect to x and y are zero.

Taking the partial derivative of f(x, y) with respect to x, we have:

∂f/∂x = 8x + 8.

Setting this equal to zero, we get:

8x + 8 = 0.

Solving for x, we find:

x = -1.

Taking the partial derivative of f(x, y) with respect to y, we have:

∂f/∂y = 8y - 8.

Setting this equal to zero, we get:

8y - 8 = 0.

Solving for y, we find:

y = 1.

So the critical point is (-1, 1).

Step 2: Determine the boundary points.

Since the domain is defined by x^2 + y^2 ≤ 81, which is a circle centered at the origin with a radius of 9, we need to consider the points on the boundary of the circle.

Parameterizing the boundary of the circle, we have:

x = 9cos(t),

y = 9sin(t),

where 0 ≤ t ≤ 2π.

Substituting these parameterizations into the function f(x, y), we get:

z = 4(9cos(t))^2 + 8(9cos(t)) + 4(9sin(t))^2 - 8(9sin(t)).

Simplifying, we have:

z = 324cos^2(t) + 72cos(t) + 324sin^2(t) - 72sin(t).

Using trigonometric identities, we can rewrite this as:

z = 324(cos^2(t) + sin^2(t)) + 72(cos(t) - sin(t)).

Since cos^2(t) + sin^2(t) = 1, the function simplifies to:

z = 324 + 72(cos(t) - sin(t)).

To find the extreme values of z on the boundary, we need to find the minimum and maximum values of cos(t) - sin(t). Since -√2 ≤ cos(t) - sin(t) ≤ √2, the minimum and maximum values of z on the boundary are:

z_min = 324 - 72√2,

z_max = 324 + 72√2.

Step 3: Compare the values.

To find the absolute minimum and absolute maximum, we need to compare the values of z at the critical point and the boundary points:

- z at the critical point (-1, 1) is:

z = 4(-1)^2 + 8(-1) + 4(1)^2 - 8(1) = -8.

- z_min on the boundary is: 324 - 72√2.

- z_max on the boundary is: 324 + 72√2.

Comparing these values, we can conclude:

- The absolute minimum value of f(x, y) on the domain D is -8, attained at the critical point (-1, 1).

- The absolute maximum value of f(x, y) on the domain D is 324 + 72√2, attained on the boundary of the circle x^2 + y^2 = 81.

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Answer:

12x plus 9x

Step-by-step explanation:

Answer:

The vertex is located on the x-axis between the second and third quadrants

Step-by-step explanation:

Whereby the function is f(x) = (x + 3)², we have;

f(x) = (x + 3)² = x² + 6·x + 9

The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;

h = -b/(2·a) and k = f(h)

Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;

a = 1, b = 6, c = 9

h = -6/(2 × 1) = -3

k = f(-3) = (-3)² + 6 × (-3) + 9 = 0

The vertex (h, k) = (-3, 0)

Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.

The closest point to y in the subspace w spanned by u1 and u2 is [14/9, 46/9, 5/3], which is closest to option B.

The closest point to y in the subspace w spanned by u1 and u2 can be found using the formula:

proj_w(y) = [(y dot u1)/(u1 dot u1)]u1 + [(y dot u2)/(u2 dot u2)]u2

where dot denotes the dot product.

Substituting the given values, we get:

proj_w(y) = [(112 + 92 - 22*(-1))/(22 + 22 + (-1)(-1))] [2 2 -1] + [(11(-1) + 93 + 224)/(11 + 33 + 4*4)] [-1 3 4]

= [14/9, 14/9, -7/9] + [0, 16/3, 14/3]

= [14/9, 46/9, 5/3]

Therefore, the closest point to y in the subspace w spanned by u1 and u2 is [14/9, 46/9, 5/3], which is closest to option B.

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Answer:

so what u need to do uh is look at it one for time and it will tell u but its b

Answer:

Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Answer:

The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Hope that helps :)

Answer:

20 hours

Step-by-step explanation:

Computer download=5 hours

Computer + Extra processor=4 hours

Computer's rate =1/5 per hour

Computer + extra processor rate=1/4 per hour

Extras processor rate=1/x

Where,

x=how long it takes extra processor to get the job done on its own.

To find x, we have to solve the equation

1/5 + 1/x = 1/4

Subtract 1/5 from both sides

1/5 + 1/x -1/5 = 1/4-1/5

1/x=1/4-1/5

1/x = 5-4/20

1/x = 1/20

Cross product

1(20)=x(1)

20=x

x=20 hours

It would have taken the new extra processor alone 20 hours to download the movie

The Answer is A because it's Marie and I have been working with the other kids Jimmie I know I did it

Answer:

None of the choices

Step-by-step explanation:

1 cubic centimeter (cu cm) = 0.002204623 pound (lb)

Correct me if I'm wrong. I hope it helps.

There is no conversion factor to convert centimeters into pounds, the correct option is D.

A conversion factor is the amount by which a unit should be multiplied to convert into the other unit.

There are numerous units for measuring one thing,

The length can be measured in centimeter, meter, milimeter, kilometer, miles etc.

The weight can be measured in kilogram, gram, ounce, pound etc.

It is asked to tell the conversion factor between centimeters and pounds.

There is no such unit that converts one unit which measures length to other unit which measures weight.

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