write an equation that represents the line. Use exact numbers.

then we need to solve the second equation for k

then the answer is C.

11,500 feeders must be sold to make a profit of $8,500. Associated Cost Function: The total cost is composed of fixed costs and variable costs.

a. Let x represent the number of hummingbird feeders sold.
C(x) = Fixed Costs + (Variable Costs * x) = $37,500 + ($2 * x)
Revenue Function: Revenue is the product of the price per unit and the number of units sold.
R(x) = Price per Unit * x = $6 * x
Profit Function: Profit is the difference between revenue and associated costs.
P(x) = R(x) - C(x) = ($6 * x) - ($37,500 + ($2 * x))

b. To find how many feeders must be sold to make a profit of $8,500, set the profit function equal to $8,500 and solve for x.
$8,500 = ($6 * x) - ($37,500 + ($2 * x))
Simplify and solve for x:
$8,500 + $37,500 = $4 * x
$46,000 = $4 * x
x = 11,500
So, 11,500 feeders must be sold to make a profit of $8,500.

a. The associated cost function can be calculated as:
Total Cost = Fixed Cost + Variable Cost * Quantity
TC(q) = 37,500 + 2q
The revenue function can be calculated as:
Total Revenue = Price * Quantity
TR(q) = 6q
The profit function can be calculated as:
Total Profit = Total Revenue - Total Cost
TP(q) = TR(q) - TC(q)
TP(q) = 6q - (37,500 + 2q)
TP(q) = 4q - 37,500

b. To find out how many feeders must be sold to make a profit of $8,500, we need to set the profit function equal to $8,500 and solve for q:
4q - 37,500 = 8,500
4q = 46,000
q = 11,500
Therefore, the DIY Company needs to sell 11,500 hummingbird feeders to make a profit of $8,500.

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Answer:

11,500 feeders must be sold to make a profit of $8,500. Associated Cost Function: The total cost is composed of fixed costs and variable costs.

a. Let x represent the number of hummingbird feeders sold.

C(x) = Fixed Costs + (Variable Costs * x) = $37,500 + ($2 * x)

Revenue Function: Revenue is the product of the price per unit and the number of units sold.

R(x) = Price per Unit * x = $6 * x

Profit Function: Profit is the difference between revenue and associated costs.

P(x) = R(x) - C(x) = ($6 * x) - ($37,500 + ($2 * x))

b. To find how many feeders must be sold to make a profit of $8,500, set the profit function equal to $8,500 and solve for x.

$8,500 = ($6 * x) - ($37,500 + ($2 * x))

Simplify and solve for x:

$8,500 + $37,500 = $4 * x

$46,000 = $4 * x

x = 11,500

So, 11,500 feeders must be sold to make a profit of $8,500.

a. The associated cost function can be calculated as:

Total Cost = Fixed Cost + Variable Cost * Quantity

TC(q) = 37,500 + 2q

The revenue function can be calculated as:

Total Revenue = Price * Quantity

TR(q) = 6q

The profit function can be calculated as:

Total Profit = Total Revenue - Total Cost

TP(q) = TR(q) - TC(q)

TP(q) = 6q - (37,500 + 2q)

TP(q) = 4q - 37,500

b. To find out how many feeders must be sold to make a profit of $8,500, we need to set the profit function equal to $8,500 and solve for q:

4q - 37,500 = 8,500

4q = 46,000

q = 11,500

Therefore, the DIY Company needs to sell 11,500 hummingbird feeders to make a profit of $8,500.

Step-by-step explanation:

The correct statement is end behavior is decreasing to the left and increasing to the right, which statement must be true about the function is The order is odd and the leading coefficient is negative.

As x approaches infinity it is detected by its limit. On the left side, it is given by:

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Answer:

Step-by-step explanation:

4x-9y=2 …..equation(1)

12x-5y=-38 ….. equation (2)

(4x=2+9y)

12x=-38+5y then use substitution

6+27y=-38+5y                 x=(2+9y)/4

44=-22y                            x= -4

y=-2

Answer:  I believe the answer is 16 hope this helps

Step-by-step explanation:

Step-by-step explanation:

3 + 6 = 9

9 x 2 = 18

12/18 = 0.66 repeating

0.66 repeating >> simplified >> 2/3

**Please mark brainliest :))

Answer

2.019 ft

Step by step explanation

divide the product of the man's height and the shadow of the ride with the height of the ride

Answer:

x = 12

prism's length = 36 centimeters

Prisms width = 25 centimeters

Step-by-step explanation:

volume of a rectangular prism, V = length × width × height

volume = 10,800 cubic centimeters

prism's length = 3x

Prisms height = 12 centimeters

Prisms width = (2x + 1)

volume of a rectangular prism, V = length × width × height

10,800 = 3x * 2x + 1 * 12

10,800 = 6x² + 3x * 12

10,800 = 72x² + 36x

72x² + 36x - 10,800 = 0

2x² + x - 300 = 0

Using quadratic formula

x = -b ± √b² - 4ac / 2a

= -1 ± √1² - 4*2*-300 / 2*2

= -1 ± √1 - (-2400) / 4

= -1 ± √1 + 2400 / 4

= -1 ± √2401 / 4

= -1 ± 49 / 4

x = (-1 + 49)/4 or (-1 - 49)/4

= 48/4 or -50/4

x = 12 or -12.5

x cannot be a negative value

Therefore, x = 12

prism's length = 3x

= 3(12)

= 36 centimeters

prism's length = 36 centimeters

Prisms width = (2x + 1)

= 2(12) + 1

= 24 + 1

= 25 centimeters

Prisms width = 25 centimeters

Answer:

14.45

Step-by-step explanation:

Answer:

You are not dumb, I might be though.

Step-by-step explanation:

Usando una ecuación lineal, se encuentra que:

a) La ecuación es y = -20x + 840.

b) El valor del videojuego cuando era nuevo era de $840.

Una función lineal es modelada por:

y = mx + b

En el cual:

En este problema, el valor depreció $120 en 6 meses, por lo tanto la pendiente es dada por:

m = -120/6 = -20.

O sea:

y = -20x + b

Al longo de 12 meses, el valor deprecio 12 x 20 = $240. Por lo tanto, el valor inicial es dado por:

b = 600 + 240 = $840.

Y la ecuación es dada por:

y = -20x + 840.

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The domain is \(x\neq 0\) because that would make the denominator  0 which is undefined

Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, \(\mid -3 \mid -2=3-2=1\). Hope this helps!

Answer:

0.97

Step-by-step explanation:

Rounding 0.966 to 2 decimal places gives: 0.97

Note that since the third digit after the decimal point is 6, which is greater than or equal to 5, we round up the second decimal place (6+1 = 7), resulting in a final value of 0.97

Answer:

0.97

Step-by-step explanation:

The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).

To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :

A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).

B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.

C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.

D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.

E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.

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The equation of the line in the form of ax + by = c is 5x - 2y = -2.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains an equal sign "=" that separates the two expressions.

In mathematics, a line is a straight path that extends infinitely in both directions. It is a fundamental concept in geometry and is used to model many real-world situations in mathematics, science, engineering, and other fields.

To write the equation of a line in the form of ax + by = c, we need to rearrange the equation so that all the terms are on one side of the equation, and the coefficients of x and y are integers.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We can use the point-slope form of the equation to find the equation of the line that passes through the point (-4,-9) with a slope of 5/2:

y - y1 = m(x - x1), where (x1, y1) = (-4, -9)

y - (-9) = (5/2)(x - (-4))

y + 9 = (5/2)(x + 4)

Multiplying both sides by 2, we get:

2y + 18 = 5x + 20

Rearranging terms, we can write the equation in the form of ax + by = c:

5x - 2y = -2

Therefore, the equation of the line in the form of ax + by = c is 5x - 2y = -2.

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Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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The dimensions for the scale drawing of the flag is 20 cm by 23 cm

A scale is a set of levels or numbers which are used in a particular system of measuring things or are used when comparing things.

Given that, A rectangular flag is 80 centimeters by 92 centimeters. we need to find dimensions of a scale drawing of the flag using the scale 1:4,

Therefore,

80 / 92 = 20 / 23

Hence, the dimensions for the scale drawing of the flag is 20 cm by 23 cm

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Answer:

20cm by 23cm

Step-by-step explanation:

The event "is not a high school graduate but is a homeowner" can be represented in symbolic form as follows:

H: The person is a homeowner
G: The person is a high school graduate

∴ ~G ∧ H

This symbolic form represents the statement "not a high school graduate but is a homeowner." The tilde symbol (~) negates the statement that the person is a high school graduate. The conjunction symbol (∧) connects the two statements and indicates that both statements must be true for the entire statement to be true. In this case, it means that the person is not a high school graduate, but they are a homeowner.

The event "is not a high school graduate but is a homeowner" is a logical statement that can be represented in symbolic form. The statement is composed of two individual statements: "the person is not a high school graduate" and "the person is a homeowner." These statements are represented by the symbols G and H, respectively. The conjunction symbol (∧) connects the two statements and indicates that both statements must be true for the entire statement to be true. The negation symbol (~) is used to represent the statement "not a high school graduate." Thus, the symbolic form of the statement is ~G ∧ H.

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Answer:

Step-by-step explanation:

(-1 - 3)/(3 - 0) = -4/3

y - 3 = -4/3(x - 0)

y - 3 = -4/3x + 0

y = -4/3x + 3

The only graph that represents a function is the last one, we verify this because no value in the domain is mapped into more than one value of the range.

A relation maps elements from a set (the domain, represented on the horizontal axis) into elements from another set (the range, represented on the vertical axis)

A relation is only a function if all the elements in the domain are mapped only into one element of the range.

For example, if you look at the first graph, you can see the points (2, 0) and (2, -2)

The element x = 2 is being mapped into two different values, then this is not a function.

With that definition, the only graph that does not have that problem is tha last graph, so that is the correct option.

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Answer:

Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.

Let the height of the balloon from the ground be AB=hmetres.

In a right angled triangle ACB

BC

AB

=sin60

∘

⇒

200

h

=

2

3

since

sin60

∘

=

2

3

⇒h=200×

2

3

⇒h=100

3

∴h=100×1.732=173.2 since

3

=1.732

Hence, the height of the balloon above the ground is 173.2m

By inscribing the given information in a right triangle, we will see that the ballon is 167.7 meters above the ground.

Think in the situation as in a right triangle, you have a hypotenuse that is equal to the length of the cable, you know one angle of 57°, and the opposite cathetus to this angle represents the height at which the ballon is, this is what we want to find.

Using the relation:

sin(θ) = (opposite cathetus)/hypotenuse.

Where:

Replacing that we get:

sin(57°) = height/200m

sin(57°)*200m = height = 167.7m

So the balloon is 167.7 meters above the ground.

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Answer:

c = 90n

Step-by-step explanation:

Let

Number of calories = c

Number of servings = n

Calories per serving = 90

Number of calories = Calories per serving × Number of servings

c = 90 × n

c = 90n

For example, if the number of servings is 4

c = 90n

c = 90 × 4

c = 360 calories

Nul(A) = Nul(B) , Col(A) = Col(B) in integer matrices.

Describe matrix using an example?

A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements.

                                 In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics.

The null space of any matrix A consists of all the vectors

 X  such that Ax = 0

And the column space of a matrix A is the span of its column vectors.

Let  A = \(\left[\begin{array}{ccc}1&0&0 \\0&1&0\\0&0&1\end{array}\right]\)

Therefore, Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

By using definition of Null space of matrix and column space of matrix.

 Let B = \(\left[\begin{array}{ccc}1&1&0\\0&1&0\\0&0&1\end{array}\right]\)        

Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

Hence Nul(A) = Nul(B) , Col(A) = Col(B)

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Answer:

the right answer is$2.66

Distance covered is 161.54 miles.

The length of a straight line connecting any two places in space, which is the shortest route, is the distance between them. In classical physics, particularly Newtonian mechanics, this is the common definition of distance. The Pythagorean theorem is used to calculate Euclidean distance in coordinate geometry. Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given,

Going speed of Lucinda = 60 mph

Returning speed of Lucinda = 70 mph

Let distance of one side be d

Speed = Distance/ Time

time = distance/speed

Going time taken t₁ = d/60

Returning time taken = d/70

t₁ + t₂ = 5 hr

t₁ + t₂ = d/60 + d/70

5 = 13d/420

d = 5× 420/13

d = 161.54

Distance covered is 161.54 miles.

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Answer:

18502.8229198

Answer:

18502.82292

Step-by-step explanation:

calculator

Answer:

4

Step-by-step explanation:

The statement "Length of 'center' must equal the number of columns of 'x'" is generally false. The length of the 'center' variable does not necessarily need to equal the number of columns of 'x'.

The requirement for the length of 'center' depends on the specific context or purpose of its usage in relation to 'x'. In some cases, 'center' may represent a vector or an array containing the central values or positions of a dataset or matrix. In such cases, the length of 'center' would typically match the dimensionality of the dataset or matrix, which would correspond to the number of rows or columns in 'x'. However, there can be situations where 'center' represents something else entirely, such as a single value or a different set of values unrelated to the dimensions of 'x'. Therefore, it is not a general rule that the length of 'center' must always equal the number of columns of 'x'. The specific requirements and relationships between 'center' and 'x' would depend on the specific context and purpose of their usage.

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Steps to solve:

4x + 1/3y^2 when x = 2 and y = 3

~Substitute

4(2) + 1/3(3)^2

~Simplify

8 + 1/3(9)

~Simplify

8 + 3

~Add

11

Best of Luck!