If cost is represented by C(x)=2.2x+4,000 and revenues are represented by R(x)=9.4x, which equation could be used to find the break-even point?

9.4x=4,000

10.6x=−4,000

7.2x=−4,000

10.6x=4,000

7.2x=4,000

Step-by-step explanation:

everything can be found in the picture

Answer:

It is 1. A(n) =3(3^n-1)

Step-by-step explanation:

It is a geometric progression

General recursive formular:

\(a_{n} = a( {r}^{n-1} )\)

a » first term, a = 3

r » common difference, r = 9 ÷ 3 = 3

n » number of terms

\(A(n) = 3( {3}^{n-1} )\)

______________end_____________________

further more:

\(A(n) = {3}^{(n)} \)

Answer:

it looks like a 150 degree angle??

Step-by-step explanation:

Answer:

I think you mean divided by 5 so 629

Step-by-step explanation:

9514 1404 393

Answer:

  3/10

Step-by-step explanation:

  (3/8)/(1 1/4) = (3/8)/(5/4) = (3/8)/(10/8) = 3/10

Q) (3/8) ÷ (1 1/4) = ?

→ (3/8) ÷ (1 1/4)

→ (3/8) ÷ (5/4)

→ (3/8) ÷ (10/8)

→ (3/8) × (8/10)

→ 3/10 {final answer}

Answer:

I think you need 8 papers

The equation of the parallel line will be y = (2/3)x - 8/3.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y - 4 = 2/3 (x - 3)

The equation of the line that is parallel to the given line will be written as,

y = (2/3)x + c

The equation of the line that passes through (1, -2), then we have

- 2= (2/3)(1) + c

- 2 = 2 /3 + c

c = - 8 / 3

Then the equation of the parallel line will be y = (2/3)x - 8/3.

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The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer:

\(m=\frac{7}{3}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 7)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

The answer is 0.27333 just put a line above the second three.

Answer:

0.273333

Step-by-step explanation:

186.80/720

= 0.273333

The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Answer:

\(\dfrac{dA}{dt}+ \dfrac{A}{100}=0\)

A(0) = 70  (i.e the pounds of salt dissolved into the tank)

Step-by-step explanation:

Given that:

a large mixing tank initially holds 400 gallons of water  in which 70 pounds of salt have been dissolved.

The rate at which pure water is pumped into the tank is 4 gal/min

After stirring; the pure water is then pumped out at the same rate.

The objective is to determine the differential equation  for the amount of salt A(t) in the tank at time t > 0. What is A(0)

Taking the differential of:

\(\dfrac{dA}{dt}=R_{in}-R_{out}\)     ---- (1)

where ;

\(R_{in\) = 0

\(R_{out} =\dfrac{A(t)}{400}*4\)

\(R_{out} =\dfrac{A}{100}\)

replacing them into (1) ; we have:

\(\dfrac{dA}{dt}=0 - \dfrac{A}{100}\)

\(\dfrac{dA}{dt}=- \dfrac{A}{100}\)

\(\dfrac{dA}{dt}+ \dfrac{A}{100}=0\)

A(0) = 70 (i.e the pounds of salt dissolved into the tank)

The differential equation for the amount of salt A(t) in the tank at time t > 0 is \(\frac{dA}{dt} + \frac{A}{100} = 0\)

A (0)= 70

Given that,

\(dA\div dt=R_{in}-R_{out}\)

Rin=0

\(R_{out}=A(t)\div 400 \times (4)\\\\ =A\div 100\)

so,

\(dA\div dt=R_{in}-R_{out}\\\\dA\div dt=0- A\div 100\)

So,

\(dA\div dt +A\div 100=0\)

A(0)=70

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:4/10 40%

Step-by-step explanation:

Answer:

Your answer would be 4/10 OR 40%.

Step-by-step explanation:

The interest rate on the mortgage is 5 %

Let's begin by using the formula for simple interest:

I = P * r * t

where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).

For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.

First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):

A = P + I

where A is the total amount, P is the principal, and I is the interest.

We know that Mr. G will pay $232,500 in interest, so we can solve for A:

Let's begin by using the formula for simple interest:

I = P * r * t

where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).

For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.

First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):

A = P + I

where A is the total amount, P is the principal, and I is the interest.

We know that Mr. G will pay $232,500 in interest, so we can solve for A:

A = P + I

A = $155,000 + $232,500

A = $387,500

Now we can use the formula for simple interest to solve for the interest rate, r:

I = P * r * t

$232,500 = $155,000 * r * 30

r = $232,500 / ($155,000 * 30)

r = 0.05 or 5%

Therefore, Mr. G's interest rate is 5%.

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Part 1

The equation is \(y=a(x+8)(x-72)\).

Using the point \((62, -490)\) to solve for \(a\),

\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)

Part 2

When \(x=-8\), \(y=0\).

When \(x=2\), \(y=-490\).

So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)

Answer:

32

Step-by-step explanation:

8x4

Answer:

32 feet

Step-by-step explanation:

Answer:

Observational Study

Step-by-step explanation:

An experimental study is a research study in which conditions are under the direct manipulation of the investigator. We use it to mainly test the efficacy of a medical, preventive, or therapeutic measure.

In an observational study, on the other hand,  the researcher observes the effect without trying to influence the outcome in any way.

In this study, the researchers are trying to determine the paired daytime and nighttime counts of the species of fishes made by the same divers in six lakes during September 2015.

This is simply an Observational Study as nothing is done to influence the population count.

Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

Answer:

Fail :b

Step-by-step explanation:

Answer:

sorry letters are to small but if you dont know just guess then but then try to get like good scores on at least 3 homeworks

Answer:

2

Step-by-step explanation:

56/（14*2）=2hours

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

61

Step-by-step explanation:

The value of angle x in the straight line is 41 degrees.

The sum of angles on a straight line is 180 degrees. In other words, angles on a straight line add up to 180°. Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

Therefore, let's find the angles x.

Using sum of angles on a straight line,

x + 139 = 180

subtract 139 from both sides of the equation

x + 139 - 139 = 180 - 139

Hence,

x = 41 degrees

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A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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