Can someone help me please

it's gain because 10,500 is bigger than 10,000

Answer:

(-14, 4)

Step-by-step explanation:

I graphed it on Desmos Graphing calculator. This is a great resource. Hope this helps!

Step-by-step explanation:

( - 14, -4)

is a right answer

When the line of slope of 3 passes through two points, the value of y is -8.

The slope or gradient of a line in mathematics is a number that describes both the direction and the steepness of the line. The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope is a numerical value that describes the steepness of a line and is typically calculated by dividing the vertical distance by the horizontal distance (rise over run) between two points.

Here,

m=3

m=(y2-y1)/(x2-x1)

3=(y+5)/(-3+(2))

-3=y+5

y=-8

The value of y is -8 when the line of slope of 3 is passing through 2 points as given.

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(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.

(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.

(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.

(d) Given the market conditions and demand function, the total market supply can be calculated.

(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).

(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.

(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).

(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.

In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.

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Answer:

-9

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

:)

Step-by-step explanation:

a ratio of 5:5:6 tells us first that there are 5+5+6 = 16 units in all the sides lengths of the triangle.

we don't know how large a single unit is yet, but we know, we have 16 of them.

we also know that all 3 sides together is 32 cm.

and that is another form to bring all side lengths together.

so, we know now that

32 cm = 16 ratio units.

therefore, one ratio unit is 32/16 = 2cm.

therefore, the sides are actually :

2×5 = 10 cm

2×5 = 10 cm

2×6 = 12 cm

so, we have an isoceles triangle (the 2 legs are equally long : 10 cm) with a baseline of 12 cm.

that means the height to the baseline splits the triangle in half (into 2 equal right-angled triangles).

and the height of the main triangle we get via Pythagoras from these smaller triangles :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle), a and b are the legs.

10² = (baseline/2)² + height² = 6² + height²

100 = 36 + height²

64 = height²

height = 8

the area of a triangle is

baseline × height / 2

so, in our case the area of the triangle is

12 × 8 / 2 = 12 × 4 = 48 cm²

The new area of the triangle would be 111 square units if its base was half as long and its height was tripled.

We have,

The area of a triangle can be calculated using the formula:

Area = 1/2 x base x height

where base and height are the length of the base and the perpendicular height from the base to the top vertex of the triangle, respectively.

The original area of the triangle is 148 square units.

Let's call the original base length b and the original height h, so we can write:

Area = 1/2 x b x h = 148

Now, we are told that the base length is halved and the height is tripled. Let's call the new base length b' and the new height h'.

b' = 1/2 x b (since the base is halved)

h' = 3 x h (since the height is tripled)

To find the new area of the triangle, we use the same formula for area, but substitute in the new base length and height:

New area = 1/2 x b' x h' = 1/2 x (1/2 x b) x (3h)

Simplifying this expression, we get:

New area = 3/4 x b x h

Now, we can substitute in the original values of b and h, which gives:

New area = 3/4 x (b x h) = 3/4 x 148 = 111

Therefore,

The new area of the triangle would be 111 square units if its base was half as long and its height was tripled.

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The New area of triangle is 111 square unit.

The Formula for the area of a triangle:

A = (1/2) x base x height.

The original area is given as 148 square units.

So, the original area can be expressed as

A = (1/2) x b x h = 148.

Now, if we halve the base and triple the height, the new base would be (1/2)  b and the new height would be 3h.

The new area can be calculated as:

New Area = (1/2) x (1/2) x b x 3h

= (1/4) x b x 3h

= (3/4) x  b x h.

Therefore, the new area would be (3/4) times the original area, which is:

New Area = (3/4) x 148 = 111 square units.

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Using the percentage of guests choose one option for their dinner , the number of guest chose meat as their dinner option are 455.

As given in the question,

Options given for dinner :

Meat, Fish and Vegetarian

Percent of guest having

Meat in dinner = 65%

Vegetarian = 5%

Number of guest chose fish =210

Percent of guest chose fish = 100 -(65 +5)

                                            = 30%

Let x be the total number of guest

30% of x = 210

⇒ (30/100) × x = 210

⇒ x= (210 ×100) / 30

⇒ x = 700

Therefore, using the percentage of guests choose one option for their dinner ,the number of guest chose meat as their dinner option are 455.

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43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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To find the area of a composite figure, break it down and calculate the area of each individual component and sum up the areas of these components.

1. Identify the different components: Analyze the composite figure and identify its individual shapes or regions. These could be rectangles, triangles, circles, or any other regular or irregular shapes.

2. Calculate the area of each component: Use the appropriate formulas or methods to find the area of each individual shape or region. For example, the area of a rectangle is calculated by multiplying its length by its width, the area of a triangle is calculated using the formula (base * height) / 2, and the area of a circle is calculated using the formula π * (\(radius^2\)).

3. Sum up the areas: Add up the areas of all the individual components to find the total area of the composite figure. Make sure to use consistent units throughout the calculations.

It's important to note that in some cases, the composite figure may have overlapping or intersecting regions. In such cases, you may need to subtract the overlapped areas or apply additional calculations to accurately determine the total area.

While there are online calculators available to find the area of composite figures, it's beneficial to understand the process and formulas involved so that you can manually calculate the area in situations where a calculator is not accessible or when dealing with more complex composite figures.

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The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Step-by-step explanation:

just put the ratios into a fraction if x:y then x/y

A.)6/1=6

B.)12/2=6

C.)4/24=1/6

D.)48/8=6

E.)18/3=6

F.)1/6

24/4=6 so A, B, D, and E are equivilant to the ratio 24/4

Hope that helps :)

Answer:

6:1 ,12:2, 48:8

Step-by-step explanation:

24:4

24 ÷ 4 =6 and 4÷4 =1

6:1

24:4

24÷2 =12 , 4÷2=2,

12:2

48:8

24×2=48, 4×2=8

48:8

3. You have 300 euros. What is this amount in US dollars.

Answer:

462.20 US dollars ans,,.

Step-by-step explanation:

Sorry I can help you only for this question

Answer:

3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft

Step-by-step explanation:

3. use proportions:
\(\frac{h}{50} = \frac{50}{12.5}\)
50(50) = 12.5h
h = 200ft

4.
\(\frac{h}{6} =\frac{7}{2}\)
6(7) = 2h
h = 21ft

5.
\(\frac{25}{8} =\frac{x}{12}\)
25(12) = 8x
x = 37.5m

6.
\(\frac{9}{15} =\frac{h}{7}\)
9(7) = 15h
h = 4.2ft

Answer:

980

Step-by-step explanation:

if you do 70×14 would equal 980

The correct answer is option A: the optimal corner point won't change.

The optimal corner point is the point where the objective function reaches its maximum value, with the constraints of the problem being satisfied. If the slope of the objective function stays between the slopes of the binding constraints, it means that the current optimal corner point will remain unchanged.

This is because if the objective function's slope is within the slopes of the binding constraints, then the set of points where the objective function reaches its maximum value will be the same. Therefore, the optimal corner point will not change.

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Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

On solving the provided question, we can say that multiplication of polynomial  3(8 + ) is 24+3

A polynomial is an algebraic expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of variables and coefficients.

For example, in the expression , x is the variable and coefficients of  and  are 1 and 2 respectively.

When we are asked to do multiplication of polynomials, we multiply term by term in the brackets until every term is multiplies with another in different bracket.

Like in 3(8 + ), we first multiply 3 with the first term inside the bracket, which is 8 and then we multiply 3 with the second term, which is b and maintaining the plus sign as it is.

So the answer is

(3)(8)+(3)()

=24+3

Hence, the answer is 24+3.

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

I'm sorry I can't give you an answer until i see a picture of where the mark of B is.. could you try posting a picture as well an i can answer.

Step-by-step explanation:

We will determine the length and width of the patio as follows:

*First: We write the equations that we can derivate from the text, those are:

&

&

*Second: We will replace this last two equations in the first one and solve for x:

So, we have that the width of the patio is 14 feet long.

*Third: We determine the length:

So, we have that the lenght of the patio is of 35 feet long.

Answer:

m∠2 = 104°

m∠3 = 76°

m∠4 =  104°

Step-by-step explanation:

∠1 and ∠3 are vertical angles

That means they are of the same value.

∠2 and∠4 are also vertical angles and we can find the value like this:

Sum of all angles = 360°

Total value of found angles = 152°

Number of angles need to be found = 2x (note: this is 2x because both angles are the same)

Equation = 360 - 152 = 2x

208 = 2x

x = 208/2

x = 104

So angle m∠4 = 104°

and m∠2 = 104°

The particular antiderivative that satisfies the given conditions is R(t) = 12t + 28. To find the particular antiderivative that satisfies the conditions, we need to integrate the given derivative equation. Since dR/dt = 12, we need to find the antiderivative of 12 with respect to t.

To find the particular antiderivative, we start by integrating the given derivative equation. The antiderivative of 12 with respect to t is given by 12t. However, since we are looking for a particular antiderivative, we need to include a constant term.

The constant term represents the constant of integration and accounts for the fact that there are infinitely many antiderivatives for a given derivative equation. To determine the constant of integration, we need to use an initial condition.

In this case, the initial condition is R(1) = 40, which means that at t = 1, the value of R is 40. Plugging in t = 1 into the antiderivative expression, we get 12(1) + C = 12 + C = 40.

Solving for C, we subtract 12 from both sides of the equation: C = 40 - 12 = 28.

Therefore, the particular antiderivative that satisfies the given conditions is R(t) = 12t + 28. This equation represents the position function R(t) that yields a derivative of 12 and has an initial value of 40 at t = 1.

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Expression of Sayed weekly earnings = 8.50t + (1.5)(8.50)p = 8.50t + 12.75p

where t is the number of hours worked regularly and p is number of hours worked overtime.

Part 1)

Given t = 36 and p = 4,

Gross Weekly earnings = 8.50(36) + 12.75(4)

= 306 + 51

=$357

Part 2)

Given Gross weekly earnings = $420.75 and t=36,

8.50(36) + 12.75p =420.75

306 + 12.75p = 420.75

12.75p = 420.75-306

12.75p = 114.75

p = 114.75÷12.75

p=9

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Answer: The simplified expression 6(4y + 7) - (2y - 1) is : 22y + 43

Answer:

XZ = 3.519 m

Step-by-step explanation:

XY = 1.35m

YZ = 3.25m

XZ = ?

As the given triangle is right angled, pythagoras theorem can be used.

\(XZ^{2} = XY^{2} + YZ^{2}\)

\(XZ^{2} = (1.35)^{2} + (3.25)^{2}\\XZ^{2} = 1.8225 + 10.5625\\XZ^2 = 12.385\\XZ = \sqrt{12.385} \\XZ = 3.519 m\)

The approximate number of Calories in a single cookie is 57 (Option C).

To calculate the approximate number of Calories in a single cookie, we divide the total number of calories in a serving size by the number of cookies in that serving size. According to the label, the serving size is three cookies, and the total number of calories in a serving size is 170.

So, to find the approximate number of Calories in a single cookie, we divide 170 by 3:

Approximate Calories per cookie = 170 / 3 ≈ 56.67 ≈ 57

Therefore, the approximate number of Calories in a single cookie is 57.

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