A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?

Answer:

A.

Step-by-step explanation:

Because If you are simplifying then -3 would become -1 and -5 would become -3 and -4 would become -2 so your basically just simplifying

Answer:

245 cm³

Step-by-step explanation:

Volume of a triangle = length x width x height / 3

7 x 7 x 15 = 735

735/3 = 245

volume of a triangle =length×width height 3

7×7×15=735

735/3=24

Answer: x = 29

Step-by-step explanation:

Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)

Answer:C (-2, 1)

Step-by-step explanation:

To find the point, concepts of differentiation were used. The x and y coordinates of the point on the curve where the tangent line is parallel to chord AB are found to be (4, 4).

The curve \(y^2 = 4x\) and the chord joining the points A(-4,0) and B(0,2) on the curve, we can find slope of  AB by using the formula:
\(Slope = (y2 - y1) / (x2 - x1)Slope = (2 - 0) / (0 - (-4))Slope = 2 / 4Slope = 1/2\)

Now, we need to find the point on the curve where the tangent line is parallel to the chord AB. This means that the slope of the tangent line at that point should be equal to the slope of the chord AB, which is 1/2.

To find the slope of the tangent line, we can differentiate the given curve with respect to x : \(y^2 = 4x2y(dy/dx) = 4dy/dx = 2/y\)
Now, we can equate the slope of the tangent line to the slope of the chord AB:
2/y = 1/2
y = 4

Substituting the value of y back into the given curve equation, we get:
\(4^2 = 4x\)
x = 4

So, the x and y coordinates of the point on the curve where the tangent line is parallel to chord AB are (4, 4). Therefore, the answer is (4, 4).

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Answer:

1.5/3

Step-by-step explanation:

The composition of functions that achieve the desired result is given as follows:

d. f(x) = 1/x and g(x) = x² - 6.

The composite function of f(x) and g(x) is given by the rule presented as follows:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

For item d, the functions are given as follows:

Applying the composite function, we have that h(x) (f(g(x)) = f(x² - 6), hence the lone instance of x in f(x) is replaced by x² - 6, as follows:

h(x) = 1/(x² - 6).

Meaning that it is the correct option.

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Answer:

As u know sum of all angles in a triangle is 180°

so here the soln goes

23x-4+4x-1+9x-31=180°

36x-31=180°

x=216/36

x=6

hope it helped!

The composition of transformations that map ABCD to EHGF is: reflect over the x-axis, then translate (x + 3. y + 1).

In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

Since triangle ABCD was reflected over the x-axis, the coordinate A of triangle ABCD can be calculated as follows;

(x, y)            →      (x, -y)

A (-5, 2)      →      (-5, -(2)) = (-5, -2)

For the translation, we have:

(x, y)            →       (x + a, y + b)

A (-5, -2)           →      E (-2, 1)

-5 + a = -2

a = -2 + 5

a = 3

-2 + b = -1

b = -1 + 2

b = 1

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we have a 18 -gon

Its a regular polygon with 18 congruent sides and 18 congruent angles

step 1

Find the measure of each interior angle

we know that

the sum of the interior angles in any regular polygon is equal to

where

n is the number of sides

so

for n=18

substitute

Divide by the number of sides n

the measure of each interior angle is 160 degrees

Step 2

Find the measure of each exteriior angle

Remember that the sum of the interior angle and the exterior angle is equal to 180 degrees

therefore

the measure of each exterior angle is equal to 20 degrees

Answer:

12x=9+5x^{2}

12x=9+5x2

Step-by-step explanation:

The best interpretation of the mean in this case is:

v. For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

The mean of a binomial distribution represents the average or expected value of the random variable. In this context, the random variable G represents the number of shipments with undamaged bowls in 25 randomly selected shipments. The mean of 23.75 suggests that, on average, out of all possible shipments of size 25, the company can expect to have approximately 23.75 shipments with undamaged bowls.

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Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any \(two\)  \(points\)on the \(trend\) line

\((x_1,y_1) = (30,40)\)

\((x_2,y_2) = (80,70)\)

\(y = 0.6x + 22\)

Calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

\(m = \frac{70 - 40}{80-30}\)

\(m = \frac{30}{50}\)

\(m = 0.6\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

This gives:

\(y = 0.6(x - 30) + 40\)

\(y = 0.6x - 18 + 40\)

\(y = 0.6x + 22\)

Solving (b): y, when \(x = 21\)

\(y = 0.6x + 22\)

Substitute \(x = 21\)

\(y = 0.6 * 21 + 22\)

\(y = 12.6 + 22\)

\(y = 34.6\)

Solving (c): x when \(y=150\)

\(y = 0.6x + 22\)

Substitute \(y=150\)

\(150 = 0.6x + 22\)

Collect like terms

\(0.6x = 150 -22\)

\(0.6x = 128\)

Solve for x

\(x = \frac{128}{0.6}\)

\(x = 213.3\)

Answer:

d

Step-by-step explanation:

Answer: D (-5,10),(-1,10),(-1,7),(-5,6)

Step-by-step explanation: I took the quiz and it was right hope this helps ❤️

The 'x' coordinate is negative and 'y' coordinate is positive.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

We know that :

π = 180

Therefore,

3π/4 = (3×180)/4 = 3 × 45

3π/4 = 135

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.

Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

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Answer:

x is negative, and y is positive.

Step-by-step explanation:

The answer above is correct.

The main answer is: (15 - 4) * (4 + 11) = 51.

The missing operations only using 3 of these /,*,-,+ = (15 - 4) * (4 + 11) = 51.

To fill in the missing operations in the equation 15 _ 4 _ 4 _ 11 = 51 using only the operations of division (/), multiplication (*), subtraction (-), and addition (+), need to determine the appropriate operations to achieve the desired result.

Given that the equation is 15 _ 4 _ 4 _ 11 = 51, we can try different combinations of operations to find a valid solution:

15 + 4 / 4 * 11 = 51

15 - 4 / 4 + 11 = 51

15 * 4 / 4 - 11 = 51

15 / 4 * 4 + 11 = 51

If we insert parentheses as follows: (15 _ 4) _ (4 _ 11) = 51, then we can determine the missing operations:

(15 - 4) * (4 + 11) = 51

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The missing operations in 15_4_4_11=51 is multiplication, subraction, and addition to make the equation 15*4-4+11=51 to equal to 51.

The missing operations in 15_4_4_11=51 can be found using basic problem-solving skills and trial-and-error methods. In mathematics, these operations can be solved using the mathematical operations provided which are division (/), multiplication (*), subtraction (-), and addition (+).

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The length of the fence should be 10 meters, and the width should be (40 - 2(10)) = 20 meters.

To determine the length and width of the fence that will provide the maximum dining area, we need to find the dimensions that maximize the area of the rectangular dining area.

Let's assume the length of the rectangle is x meters. Therefore, the width would be (40 - 2x) meters since we need to subtract the length of two sides covered by the barn.

The area of a rectangle is given by the formula: Area = length × width.

So, the area of the dining area, A, can be expressed as:

A = x(40 - 2x)

To find the maximum area, we can take the derivative of A with respect to x and set it equal to zero. Let's differentiate A:

dA/dx = 40 - 4x

Setting the derivative equal to zero, we have:

40 - 4x = 0

Solving for x:

4x = 40

x = 10

Therefore, the length of the fence should be 10 meters, and the width should be (40 - 2(10)) = 20 meters.

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Answer:

Completely Randomized Design would be the most appropriate experimental design for this scenario since it involves randomly assigning participants to different groups without any blocking factors present. Each subject represents an independent observation in the study, so treating them separately as units rather than blocks or paired observations makes sense. By comparing pre-treatment measures of sleep length against post-treatment measures taken after receiving Lunesta, researchers can evaluate its effectiveness in promoting better sleep patterns among those experiencing insomnia.

The most appropriate design for the described clinical trial of Lunesta drug, which measures sleep amounts before and after the treatment, is the Matched Pairs Design where each subject serves as their own control.

The design most appropriate for this experiment with the Lunesta drug should be the Matched Pairs Design. In a matched pairs design, each subject serves as their own control, which would apply here as sleep amounts are being measured for each subject before and after they have been treated with the drug. This is important because it means the experiment controls for any individual differences among participants. In other words, the same person's sleep is compared before and after taking the drug, so the effect of the drug is isolated from other factors that could potentially affect sleep.

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The set of points that represents a function is given by:

A {(2, 1), (7, 9), (3, 12), (4, 10)}.

A set, or a relation, represents a function when each value of x is mapped to only one value of y.

In this problem, we have that option A represents a function, as:

Hence the set of points that represents a function is given by:

A {(2, 1), (7, 9), (3, 12), (4, 10)}.

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Answer: There are a lot of characteristics of a parabola like:

-Parabola is symmetric with respect to its axis.

- When the axis of symmetry is along the x-axis, the parabola opens to the right if the coefficient of the x is positive and opens to the left if the coefficient of x is negative.

Step-by-step explanation: It depends on the equations but the answer above is what I learned from college so pretty sure it is right.

Answer:

The simplest form of the given expression is 8.

Step-by-step explanation:

(-11/2x + 3) - 2(-11/4x - 5/2)

Distribute 2 to (-11/4x - 5/2)

(-11/2x + 3) - (-11/2x - 5)

Now, combine like terms. The terms with the x value will cancel each other out because a negative plus a positive of the same number will equal zero. For example, -2 + 2 = 0.

So, the expression in the simplest form is going to be 8. The x values have cancelled each other out so all there is left is the constant number which is 8.

Answer: 128.43

Step-by-step explanation:

It’s 9 people not just 8

Answer:

\(8x^{4}\)

3n-10

(a÷5)+12

Step-by-step explanation:

Numbers listed as in the picture.

70) 8 * \(x^{4}\)= \(8x^{4}\)

71) 3 * n -10= 3n-10

72) 12+ a/5= (a÷5)-12

Answer:

The answer is C.) y = 2x + 5

For the matrix A and B it is proved that AB has p linearly independent columns, which implies that rank of AB is p.

To show that the product AB has rank p,

Demonstrate that AB has p linearly independent columns.

A is a p × q matrix with rank p,

A has p linearly independent columns.

Let's denote these columns as a₁, a₂, ..., aₚ.

B is a p × r matrix, which means it has r columns.

Show that the product AB has p linearly independent columns,

which implies that these columns are formed by the columns of A.

To obtain the product AB,

multiply matrix A by matrix B.

The resulting matrix AB is a p × r matrix. Let's denote the columns of B as b₁, b₂, ..., bᵣ.

Now, let's consider the columns of the matrix AB.

Each column of AB is obtained by multiplying matrix A by a column of B,

AB = [Ab₁ Ab₂ ... Abᵣ]

Express each column of AB as a linear combination of the columns of A,

Abᵢ = c₁ᵢa₁ + c₂ᵢa₂ + ... + cₚᵢaₚ

where c₁ᵢ, c₂ᵢ, ..., cₚᵢ are scalars.

Since A has p linearly independent columns (a₁, a₂, ..., aₚ), any linear combination of these columns will also be linearly independent.

Therefore, the columns of AB (Ab₁, Ab₂, ..., Abᵣ) are linearly independent as well.

Hence, it is shown that AB has p linearly independent columns, which means the rank of AB is p.

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Answer:

$1,220

Step-by-step explanation:

Since we're dealing with the average, we need to find the mean of the seven amounts.

Thus, we can use (1,790 + 988 + 1,355 + 1,012 + 988 + 975 + 1,432)/7, which gives us $1,220.

The sum of the given expressions using the column method is 3a^2.

The sum of the given expressions can be found using the column method. Let's break it down step-by-step:
1. First, let's consider the expression a^2 + 2ab + b^2.
2. Write down the expression vertically, with each term aligned under its respective power of a:
      a^2
   + 2ab
   + b^2
3. Add the corresponding terms vertically:
    (a^2 + 2ab + b^2)
4. Next, let's consider the expression a^2 - 2ab - b^2.
5. Write down the expression vertically, with each term aligned under its respective power of a:
      a^2
   - 2ab
   - b^2
6. Add the corresponding terms vertically:
    (a^2 - 2ab - b^2)
7. Finally, let's consider the expression a^2 + b^2.
8. Write down the expression vertically, with each term aligned under its respective power of a:
      a^2
      b^2
9. Add the corresponding terms vertically:
    (a^2 + b^2)
10. Now, we can find the sum of all the expressions by adding the results from steps 3, 6, and 9:
    (a^2 + 2ab + b^2) + (a^2 - 2ab - b^2) + (a^2 + b^2)
11. Simplify the expression:
    a^2 + 2ab + b^2 + a^2 - 2ab - b^2 + a^2 + b^2
12. Combine like terms:
    3a^2
Therefore, the sum of the given expressions using the column method is 3a^2.

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The length of each side of the box is 10 centimeter.

Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.

Given,

The volume of the cubic box = 1 liter

We know 1 liter= 1000 cubic centimeter

Volume of the cubic box= \(x^3}\)

Then,

\(x^{3}=1000\\ x=\sqrt[3]{1000}\)

x=10 centimeter

Hence, the length of each side of the box is 10 centimeter.

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