9.The Bridgeport water department has a monthly service charge of $12.60 and a volume charge of
$1.38 for every 100 cubic feet of water. Write an equation that can be used to determine the Morgan
family's monthly water bill.

Answer:

The sample size is \(n = 2\)

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  \(\sigma = 2.539\)

From the question we are told the confidence level is  99% , hence the level of significance is    

      \(\alpha = (100 - 99 ) \%\)

=>   \(\alpha = 0.01\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  2.58\)

Generally the sample size is mathematically represented as  

   \(n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2\)

=>  \(n = [\frac{2.58  *  2.539  }{4.266} ] ^2\)

=>  \(n = 2\)

Answer: 126

Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses

Answer:

the answer is b)0.3.......

Answer:

Concept: Conversions

Answer: m 3 m 4 m6 m6

Step-by-step explanation:

Answer:45%

Step-by-step explanation:

Answer:

2x^3 + 17x^2 + 25x - 50

Step-by-step explanation:

The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

The distance between two points is defined as the length of the line segment between two places representing their distance.

Given AB with coordinates A(-4,5) and B(12,13).

The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².

x₁ = -4, y₁ = 5

x₂ = 12, y₂ = 13

distance = √ (12 – (-4))² + (13 – 5)²

distance = √ (12 + 4)² + (8)²

distance = √ (16)² + (8)²

distance = √ (256 + 64)

distance = √320

distance = 17.88 units

The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

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Answer:

\( \sf \longrightarrow \: (x+8)(x−4)\)

\( \sf \longrightarrow \: x + 8 = 0 \qquad \: \:or \qquad \: x - 4 = 0\)

\( \sf \longrightarrow \: x = 0 - 8\qquad \: \:or \qquad \: x = 0 + 4\)

\( \sf \longrightarrow \: x = - 8\qquad \: \:or \qquad \: x = 4\)

__________________________________________

Option [B] (x+8)(x−4)

The expression that represents such a function is: (x+8)(x-4)

Explanation:-

The formula for a quadratic function in standard form is:

f(x) = a*x^2 + b*x + c

where a, b and c are coefficient values.

When given two zeros of a quadratic function, we can find the factors of the function by subtracting the zeros from "x". In this case, the zeros are given to us as x = -8 and x = 4.

So, the factors of the function are:

(x - (-8)) and (x - 4), which can be simplified as:

(x+8) and (x-4)

Therefore, the function will be the product of these two factors:

f(x) = (x+8)(x-4)

When we multiply these factors together and simplify the expression, we get the quadratic function in standard form as:

f(x) = x^2 + 4x - 32

So, the expression that represents the quadratic function with zeros at x = -8 and x = 4 is:

(x+8)(x-4)

Answer:

No

Step-by-step explanation:

No she will not have enough to buy the jacket. She would have saved $32, not $35

Answer:

8 ft

Step-by-step explanation:

Use the direct variation equation, y = kx, where k is a constant.

Change the equation to fit the variables: L = kH

Plug in the given length of the shadow and the height of the object, then solve for k:

L = kH

27 = k(12)

2.25 = k

So, the equation is L = 2.25H

Then, plug in 18 as L, and solve for H:

L = 2.25H

18 = 2.25H

8 = H

So, when the shadow is 18 feet, the height of the object is 8 ft

ANSWER 92°

REMEMBER! angles in a triangle add up to 180°

this means that:

(x) + (3x + 13) + (x - 8) = 180

5x + 5 = 180

5x = 175

therefore x = 35

now that we know x, we can apply this to work out the angle mentioned, the angle a:

A = 3(35) - 13

   = 92°

Answer:

x = 12 and y = 15

Step-by-step explanation:

Opposite angles in a quadrilateral will add up to 180, so:

\(95 + 7x + 1 = 180\\and \\4y + 14 +7y+1=180\)

Solving each:

\(95+7x+1 = 180\\7x + 96 = 180\\7x = 84 \\x = 12\)

and:

\(4y+14 + 7y + 1 = 180\\11y + 15 = 180\\11y = 165\\y = 15\)

Answer:

k = 23

Step-by-step explanation:

Answer:

8 feet

Step-by-step explanation:

it actually will be 8 feet

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Given to find the common denominator for one-third and one-fifth.

Here, the denominators of both fractions are 3 and 5. Since 3 and 5 do not have any factors common. So, the LCD will be the product of 3 and 5, which is equal to 15.

Thus, LCD of 1/3 and 1/5 is 15.

Answer:

The answer is number 2

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

25

Because its right

also I just took a test that has this problem.

Answer:

B

Step-by-step explanation:

6x -8y = - 16y

6x = -8y

8y = 17x + 4

-8y = -17x - 4

6x = -17x - 4

23x = -4

x = -4/23

Therefore, Coastal Cove will have a higher temperature at 3:00 pm.

Temperature is a measure of the degree of hotness or coldness of an object or a substance. It is a physical quantity that is measured using a thermometer, and is typically expressed in units such as degrees Celsius (°C) or Fahrenheit (°F), or in the Kelvin (K) scale.

Temperature is a result of the average kinetic energy of the molecules or particles in a substance. When molecules or particles have a high kinetic energy, they move faster and collide more frequently, resulting in a higher temperature. Conversely, when molecules or particles have a low kinetic energy, they move more slowly and collide less frequently, resulting in a lower temperature.

Temperature is an important property in many scientific and engineering fields, such as thermodynamics, meteorology, and materials science. It is also important in everyday life for tasks such as cooking, heating and cooling homes and buildings, and monitoring body temperature for health purposes.

Part A: To find an exponential function that approximates the data on the table, we can use the exponential regression function on a calculator or software. Here is one possible exponential function that fits the data:

\(g(x) = 2.331(1.102)^x\)

where x represents the number of hours since 6:00 am and g(x) represents the temperature in °F.

Part B: To compare the temperatures at 3:00 pm, we need to evaluate the temperature function for each town at x=9 (since 3:00 pm is 9 hours after 6:00 am).

For Coastal Cove:

\(f(9) = 84(1.01)^9\) ≈ 100.63°F

For Inland burgh:

\(g(9) = 2.331(1.102)^9\) ≈ 98.77°F

Therefore, Coastal Cove will have a higher temperature at 3:00 pm.

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Answer:

42-43 Euro size

Step-by-step explanation:

it is a 9.5 in American so that is the size converted to Euro (42-43).

I don't know if that helped I cant say for sure it is correct.

Answer:

A point has no dimension and a line has one dimension.

Step-by-step explanation:

Step-by-step explanation:

\((9\pi \frac{2}{2} )\div 3\pi \\ \)

\( \frac{9\pi}{3\pi} \\ \)

\(3\pi\)

3π is the answer