Please help me on this problem, im struggling

\(-4x-1=-y\\y\)

Flip the equation:

\(-y=-4x-1\)

Divide both sides by -1:

\(\frac{-y}{-1} =\frac{-4x-1}{-1}\)

\(y=4x+1\)

__________________________________________________________

\(-4y+20+3x=0\\y\)

Add -3x to both sides of the equation:

\(3x-4y+20+-3x=0+-3x\\-4y+20=-3x\)

Add -20 to both sides of the equation:

\(-4y+20+-20=-3x+-20\\-4y=-3x-20\)

Divide both sides by -4:

\(\frac{-4y}{-4} =\frac{-3x-20}{-4}\)

\(y=\frac{3}{4} x+5\)

Answer:

Yes, Triangle A

Step-by-step explanation:

The average adult panda weigh is 242 pounds.

Multiplication is a method of finding the product of two or more numbers

Given that new born panda cub weighs only 2.2×10⁻¹ pounds.

As they grow older, adult pandas, on average, weigh 1.1×10³ times more than a newborn panda

Adult Panda =  1.1×10³ ×  2.2×10⁻¹

=1100×  2.2×10⁻¹

=1100×0.22

=242 pounds.

Hence, the average adult panda weigh is 242 pounds.

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Answer:

14/3 or 4.6

Step-by-step explanation:

Proved that ∠ 2 = 107° because these two angles are supplementary angles .

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. If the two additional angles are combined, they create a straight line and an angle.

However, it should be emphasized that the two complementary angles do not necessarily need to be close to one another. As a result, any two angles can be supplementary if their sum is 180 degrees. However, it should be emphasized that the two complementary angles do not necessarily need to be close to one another. So, if two angles are complementary, they can be any two angles.

Given : ∠ 1 and ∠ 2 are supplementary angles

that is ∠ 1 + ∠2 = 180 °

Given ∠ 1 = 73°

thus when we substitute this value in the equation we get ∠ 2 = 180 - 73

∠ 2 = 107 °

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Step-by-step explanation:

-2-2

Answer:

y = -4/5x

Step-by-step explanation:

it crosses the y line at 0 so you leave the y-intercept out of the equation

Answer:

94°

Step-by-step explanation:

Interior angles:

m<C = 49°

m<D = ?

Angles CBD and CBY are supplementary.

m<CBD = 180° - 143° = 37°

m<C + m<D + m<CBD = 180°

49° + m<D + 37° = 180°

m<D = 94°

Answer:

16/20

Step-by-step explanation:

4:5

Multiply each side by 4

4*4: 5*4

16:20

16/20

Answer:

The answer is C. 16/20.

Step by step explanation:

This is because if you were to multiply 4 and 5 by 4, you would get 16/20. That means that both ratios are the same. Hope this helps! :)

An equation of the line for the perpendicular bisector of the line segment  whose endpoints are (-2,4) and ( 8,4) is 5x - 3y + 18 = 0

With the aid of the line's slope and a point on the line, the equation of a line may be created. Let us learn more about the slope of the line and the required point on the line in order to better grasp the formulation of a line equation. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The term "point" designates a location in a coordinate system with the x and y coordinates.

Equation of line with slope m and point (a, b) is defined as,

⇒ y - b = m( x - a)

How to solve?

Given that;

The endpoints of line segments are A (-8, 4) and B (2,−2).

Now, Let M is midpoint of line segment AB.

Hence, Coordinate of M = (- 8 + 2 / 2, 4 + (-2) / 2 )

                                    = ( -6/2, 2/2 )

                                    = ( -3, 1)

Slope of AB (m₁) = (-2 - 4) / 2 - (-8)

                        = -6/10

                        = -3/5

Since, The condition of slopes of two perpendicular lines is,

m₁ x m₂ = - 1

- 3/ 5 x m₂ = - 1

m₂ =5/3

Hence, Equation of perpendicular bisector with slope 5/3 and point

M (-3, 1) is,

y - 1 = 5/3 (x - (-3))

y - 1 = 5/3 ( x + 3)

3 (y - 1) = 5 ( x + 3 )

3y - 3 = 5x + 15

5x - 3y + 18 = 0

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Answer: 3. 117 cm^2

4. 104 m^2

Step-by-step explanation:

See images attached

Answer:

C

Step-by-step explanation:

because C

The options are given as follows:

a. H0: fragrance opinion is not independent of gender; Ha: fragrance opinion is independent of gender

b. H0: gender = fragrance opinion; Ha: gender \(\neq\) fragrance opinion

c. H0: fragrance opinion is independent of gender; Ha: fragrance opinion is not independent of gender

d. H0: gender \(\neq\) fragrance opinion; Ha: gender = fragrance opinion

The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

The answer is option (d).

H0: gender \(\neq\) fragrance opinion

Ha: gender = fragrance opinion

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Answer:

y= -38 + 3ax/ 2

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

Answer:

Equilateral triangle

Step-by-step explanation:

equilateral triangle is a triangle in which all three sides have the same length

1. The financial advantage of accepting the special order from the wedding party is $3,279.

2. Based on the financial advantage and unit product cost, the company should evaluate whether accepting the special order contributes positively to its profitability

1. The financial advantage (disadvantage) of accepting the special order can be determined by comparing the incremental revenues and costs associated with the order.

Incremental Revenues:

Revenue per bracelet from the special order = $169.95

Quantity of bracelets in the special order = 20

Total incremental revenue = $169.95 * 20 = $3,399

Incremental Costs:

Incremental direct materials cost per bracelet = $2.00

Incremental manufacturing overhead cost per bracelet = $4.00

Total incremental cost per bracelet = $2.00 + $4.00 = $6.00

Total incremental costs = Incremental cost per bracelet * Quantity of bracelets = $6.00 * 20 = $120

Financial Advantage (Disadvantage):

Financial advantage = Total incremental revenues - Total incremental costs

Financial advantage = $3,399 - $120 = $3,279

Therefore, the financial advantage of accepting the special order from the wedding party is $3,279.

2. Based on the financial advantage, the company should evaluate whether accepting the special order contributes positively to its profitability. If the financial advantage is significant and the company can fulfill the order without negatively impacting its regular operations or customers, it may be beneficial to accept the special order. However, other factors such as long-term customer relationships and potential future opportunities should also be considered before making a final decision.

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Imperial Jewelers manufactures and sells a gold bracelet for $189.95. The company's accounting system says that the unit product cost for this bracelet is $149.00 as shown below:

Direct materials - $ 84.00

Direct labor - 45.00

Manufacturing overhead - 20.00

Unit product cost - $ 149.00

The members of a wedding party have approached Imperial Jewelers about buying 20 of these gold bracelets for the discounted price of $169.95 each. The members of the wedding party would like special filigree applied to the bracelets that would require Imperial Jewelers to buy a special tool for $250 and that would increase the direct materials cost per bracelet by $2.00. The special tool would have no other use once the special order is completed.

To analyze this special order opportunity, Imperial Jewelers has determined that most of its manufacturing overhead is fixed and unaffected by variations in how much jewelry is produced in any given period. However, $4.00 of the overhead is variable with respect to the number of bracelets produced. The company also believes that accepting this order would have no effect on its ability to produce and sell jewelry to other customers. Furthermore, the company could fulfill the wedding party's order using its existing manufacturing capacity.

Required:

1. What is the financial advantage (disadvantage) of accepting the special order from the wedding party?

2. Should the company accept the special order?

Given the word problem, we can deduce the following information:

Volume of a rectangular pyramid=64 units^3

length of the rectangular base = 4 units

width of the rectangular base = 6 units

To determine the height of the pyramid, we use the formula as shown below:

where:

V= Volume of the rectangular pyramid

l=length of the rectangular base

w=width of the rectangular base

h=height of the pyramid

We plug in what we know:

Therefore, the height of the pyramid is 8 units.

When a graph is non-proportional, it will always satisfy the condition mentioned in option D: the graph will not pass through the origin (0, 0). This means that option D is the correct answer choice.

A non-proportional graph represents a relationship where the dependent variable does not vary directly with the independent variable. In other words, the ratio of the dependent variable to the independent variable is not constant. This implies that the graph will not pass through the origin (0, 0) since a proportional relationship would require the origin to be included.

Options A and B are incorrect because the slope of a non-proportional graph can be positive, negative, or even zero. It is not restricted to any particular sign. Option C is also incorrect because a non-proportional graph may or may not pass through the origin. Therefore, the correct answer is option D: the graph will not pass through (0, 0).

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Answer:

120 miles

Step-by-step explanation:

15 x 8 = 120 miles

The point of diminishing returns for the revenue function R(x) occurs when the amount spent on advertising is approximately $16.9 thousand.

To find the point of diminishing returns for the revenue function R(x) = 11,000 - x^3 + 36x^2 + 700x, we need to determine the value of x at which the marginal revenue, which is the derivative of R(x), equals zero. Let's find the derivative first.

R'(x) = d/dx (11,000 - x^3 + 36x^2 + 700x)

= -3x^2 + 72x + 700

Setting R'(x) equal to zero and solving for x, we get:

-3x^2 + 72x + 700 = 0

This is a quadratic equation, which can be solved using the quadratic formula. Applying the quadratic formula, we find two solutions: x ≈ -9.15 and x ≈ 26.15.

However, we are given the constraint 0 ≤ x ≤ 20, so the value of x cannot exceed 20. Therefore, we disregard the solution x ≈ 26.15.

Thus, the point of diminishing returns occurs when x is approximately 16.9 (rounded to one decimal place) thousand dollars. At this advertising expenditure, the rate of increase in revenue slows down, indicating diminishing returns.

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The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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Answer:

Step-by-step explanation:

Let's use the Fundamental Counting Principle to solve this problem.

Number of Jerseys: 3  (blue, black, white)

Number of Shorts: 3  (blue, black, white)

Number of Socks: 3  (blue, black, white)

The total number of different uniforms can be picked is 3 x 3 x 3 = 27 uniforms.

The probability that the one math major and one computer science major who refuse to serve together wind up on the committee together is 3/7.

The probability that the one math major and one computer science major who refuse to serve together wind up on the committee together, we can consider two cases:

Case 1: The math major who refuses to serve is selected.

In this case, we need to select 3 math majors from the remaining 4 math majors and 2 computer science majors from the 4 computer science majors who are willing to serve together. The probability of this case can be calculated as:

P(case 1) = (4 choose 3) × (4 choose 2) / (9 choose 5)

Case 2: The computer science major who refuses to serve is selected.

In this case, we need to select 3 math majors from the 5 math majors who are willing to serve together and 2 computer science majors from the remaining 3 computer science majors. The probability of this case can be calculated as:

P(case 2) = (5 choose 3) × (3 choose 2) / (9 choose 5)

To find the overall probability, we need to sum up the probabilities of both cases:

P = P(case 1) + P(case 2)

Calculating the probabilities:

P(case 1) = (4 choose 3) × (4 choose 2) / (9 choose 5) = (4 × 6) / 126 = 24 / 126 = 4 / 21

P(case 2) = (5 choose 3) × (3 choose 2) / (9 choose 5) = (10 × 3) / 126 = 30 / 126 = 5 / 21

P = P(case 1) + P(case 2) = 4/21 + 5/21 = 9/21 = 3/7

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In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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The length of the cantilevered beam should be equal to half the height (L = h/2) for the maximum bending stress to be equivalent to the maximum shear stress.

What is bending stress?

Bending stress, also known as flexural stress or flexure stress, is a type of stress that occurs in a structural component, such as a beam or a beam-like structure, when it is subjected to bending or flexural forces. Bending stress develops when a load or force is applied perpendicular to the longitudinal axis of the component, causing it to bend or deform.

To determine the length of the cantilevered beam, we'll start by finding the maximum bending stress and maximum shear stress, and then equate them.

Let's denote the length of the cantilevered beam as L, the applied load as P, the width as b, and the height as h.

The maximum bending stress (σ_b) in a cantilevered beam occurs at the fixed end and can be calculated using the following formula:

σ_b = (M * c) / I

where:

M = P * L (bending moment at the fixed end)

c = h/2 (distance from the neutral axis to the outermost fiber)

I = (b * h³) / 12 (moment of inertia of the cross-section)

The maximum shear stress (τ) in the beam occurs at the cross-section near the fixed end and can be calculated as:

τ = V * Q / (I * t)

where:

V = P (shear force at the fixed end)

Q = (b * h²) / 4 (first moment of area)

t = b * h (thickness of the cross-section)

Now, let's equate the maximum bending stress to the maximum shear stress and solve for L:

(M * c) / I = (V * Q) / (I * t)

Replacing the values of M, c, V, Q, I, and t:

(P * L * (h/2)) / ((b * h³) / 12) = (P * ((b * h²) / 4)) / ((b * h) * (b * h))

Simplifying the equation:

L * (h/2) = (h²) / 4

L = (h²) / (2 * h)

L = h/2

Now, let's comment on the validity of the results:

The obtained result of L = h/2 suggests that the length of the cantilevered beam should be half its height. This implies that the beam should have a specific aspect ratio to ensure that the maximum bending stress is equivalent to the maximum shear stress. However, it's important to note that this analysis assumes certain simplifying assumptions, such as a homogeneous and isotropic material, a uniform load distribution, and neglecting other factors like deformations, stability, and safety factors. Therefore, the validity of the results should be assessed considering the specific engineering requirements and the applicability of the assumptions made.

Therefore, the length of the cantilevered beam should be equal to half the height (L = h/2) for the maximum bending stress to be equivalent to the maximum shear stress.

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The volume of the solid obtained by rotating the region bounded by y = x and y = 2x² about the line y = 2 is π/24 units cube.

option D.

The volume of the solid obtained by rotating the region bounded by y = x and y = 2x² about the line y = 2 is calculated as follows;

y = 2x²

x² = y/2

x = √(y/2) ----- (1)

x = y -------- (2)

Solve (1) and (2) to obtain the limit of the integration.

y =  √(y/2)

y² = y/2

y = 1/2 or 0

The volume obtained by the rotation is calculated as follows;

V = 2π∫(R² - r²)

V = 2π ∫[(√(y/2)² - (y)² ] dy

V = 2π ∫ [ y/2  - y² ] dy

V = 2π [ y²/4 - y³/3 ]

Substitute the limit of the integration as follows;

y = 1/2 to 0

V = 2π [ 1/16  -  1/24 ]

V = 2π [1/48]

V = π/24 units cube

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The equation that represents the volume of the storage container(rectangular prism) in terms of its width is 12w + 6w²

volume of a rectangular prism = lwh

where

Therefore,

h = 6 ft

l = 2 + w

Hence,

volume of the rectangular prism = (2 + w) × w × 6

volume of the rectangular prism = (2w + w²)6

volume of the rectangular prism = 12w + 6w²

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The value of x based on the given diagram is 8.

The correct answer choice is option B.

Supplementary angles are two angles which add up to 180°

Let

The angle opposite (9x - 19)° = y°

Angle y° and 127° are supplementary angles

So,

y + 127 = 180

y = 180 - 127

y = 53°

Opposite angles are equal;

Then,

(9x - 19)° = 53°

9x - 19 = 53

9x = 53 + 19

9x = 72

x = 72/9

x = 8

Ultimately, x is given as 8

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Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.