The gas company charges a $16 monthly service fee and $0.6924 per hundred cubic feet of natural gas used during a month. Which equation best represents, y, the gas company's monthly charges in dollars for using x hundred cubic feet of natural gas?

Answer:

Statement number 4

Step-by-step explanation:

Because adding bennys age and collins age ruins the equation.

Answer:

3f +11

Step-by-step explanation:

\((f + 3) + (2f + 8)\)

Open the bracket

\(f + 3 + 2f + 8\)

Group like terms

\(f + 2f + 3 + 8 \\ \)

Simplify

\(3f + 11\)

Answer:

it should be 3f+11

Step-by-step explanation:

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

35177.51057 (Rounded - 35177.5)

Step-by-step explanation:

Compound Interest -

- Recalculates how much you should be getting

The format will ALWAYS be y=\(ab^x\)

A = Starting Value

B = Multiplier

X = Time (years)

5% = .05

1.00 + .05 = 1.05%

y=25,000(1.05)^7

= 35177.51057

Let me know if i did anything wrong <3

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.

Answer:

15

Step-by-step explanation:

There are 6 letters in the word number

This is 6 choose 2

This is a combination

The formula is 6! / ( 2! * (6-2)! )

                           6! / 2! 4!

                           (6*5*4*3*2*1) / ( 2*1 *  4*3*2*1)

Canceling like factors

                             (6*5) / ( 2*1)

                              30/2

                                 15

There are 15 possible ways to have 6 choose 2

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

Answer:

18

Step-by-step explanation:

3 3/8 becomes 27/8.

27/8 x 16/3=18

You have to flip 3/16 since you are dividing.

Answer:18

Step-by-step explanation:

3 3/8 devided by 3/16=18

Answer:

Number 3 Can't find the font

Answer:

2187 or 531441

Step-by-step explanation:

3x3^6 is 2187 and 9^6 is 531,441, not sure which you needed

Answer:

2187

Step-by-step explanation: First what you have to do is multiply 3 * 3 then you will get 9 and 9 to the power of 6 is 2187

Base = 15 cm

Height = 10 cm

Area of a triangle = 1/2 x base x height

Replacing with the values given:

A = 1/2 x 15 x 10 = 75 cm^2

Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Answer:

b. 11 apples; 1 orange

Step-by-step explanation:

We test each option, and see if the total is $3.50(what you spend). If the result is different, it is not a possible solution.

a. 1 apple; 11 oranges

1 apple for $0.20

11 oranges for $0.30 each

0.20 + 11*0.30 = $3.50

Possible solution

b. 11 apples; 1 orange

11 apples for $0.20 each

1 orange for $0.30

11*0.2 + 0.3 = 2.5

Not $3.5, so this is not a possible solution.

This is the answer

c. 7 apples; 7 oranges

7*0.2 + 7*0.3 = $3.5

Possible

d. 4 apples; 9 oranges

4*0.2 + 9*0.3 = $3.5

Possible

By substitution method

5x - 3y =1

3x + 2y = 1

_____o____o____

\(5x - 3y = 1 \\ 5x = 1 + 3y \\ x = \frac{1 + 3y}{5} \)

______o____o_____

\(3x + 2y = 1 \\ 3( \frac{1 + 3y}{5} ) + 2y = 1 \\ \frac{3 + 9y}{5} + 2y = 1 \\ \frac{3 +9y + 10y}{5} = 1 \\ \frac{3 + 19y}{5} = 1 \\ 3 + 19y = (1)(5) \\ 3 + 19y = 5 \\ 19y = 5 - 3 \\ 19y = 2 \\ y = \frac{2}{19} \)

______o_____o____

\(x = \frac{1 + 3y}{5} = \frac{1 + 3 \frac{2}{19} }{5} \\ x = \frac{1 + \frac{6}{19} }{5} = \frac{ \frac{19 + 6}{19} }{5} = \frac{ \frac{25}{19} }{5} \\ x = \frac{25}{19} \div 5 \\ x = \frac{25}{19} \times \frac{1}{5} \\ x = \frac{5}{19} \)

I hope I helped you^_^

Answer:

do 10 20 20 40 50

Step-by-step explanation:

hope it helps sorry if it does not if not then try 1 2 3 4 5

Answer:

Grater than ( < ), and less than ( > ).

Answer:

Base × Height ÷ 2

Answer:

Hope this helps! :)

The equation of the surface of the sphere is

z = √(100 - (x - 4)² - (y + 3)²). The solution has been obtained by using equation of sphere.

What is a sphere?

A sphere has a round shape and symmetrical arrangement. This three-dimensional solid's surface points are evenly spaced apart from the centre. It has both a volume and a surface area, depending on the radius. It has no faces, corners, or edges.

We know that general form of an equation of sphere is

(x - a)² + (y - b)² + (z - c)² = r²

where a, b, c are the coordinates and r is the radius.

The equation of the sphere is

(x - 4)²+ (y + 3)² + z² = 10²

So, the equation of the bottom hemisphere of sphere is

z = √(100 - (x - 4)² - (y + 3)²)

Hence, the equation of the surface of the sphere is

z = √(100 - (x - 4)² - (y + 3)²).

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Answer:

ako din sana mabigyan ket 20

Answer:

96cm

Step-by-step explanation:

scale of 4cm : 1'    

actual: length 3 feet,  width is 2 feet.

so 12 cm & 8 cm

so area. = 12*8 = 96cm

Answer:

RECT is similar to SQUA since their corresponding angles are the same size, and the side lengths of RECT are three times the corresponding side lengths of SQUA (their corresponding sides are in the same ratio).

Step-by-step explanation:

In similar shapes:

Since RECT and SQUA are both rectangular, their corresponding angles are the same size.

If RECT is similar to SQUA then their corresponding sides will be in the same ratio:

\(\implies \sf RE:EC=SQ:QU\)

From inspection of the given diagram:

Substitute these values into the ratio:

\(\implies \sf 18:10.5=6:3.5\)

Therefore:

\(\implies \sf \dfrac{18}{10.5}=\dfrac{6}{3.5}\)

Cross multiply:

\(\implies \sf 18 \cdot 3.5 = 6 \cdot 10.5\)

\(\implies \sf 63=63\)

As the equation is true, this proves that RECT ~ SQUA.

Note: The side lengths of RECT are three times the corresponding side lengths of SQUA.

The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\)  has a value of  \(-29/2\) .

To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

If  \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate   \(12 - 3y2 + (v=4) / (2y - 2)\) for  \(y = 3\)  .

\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)

\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)

Therefore, The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

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The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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The mean of 10 randomly selected students is definitely more likely to be closer to 75. 10 randomly selected students to include information and are more like to reflect the class’s scores. Consider an extreme example. Seventy-five students in a class of 100 earned perfect scores. The other 25 earned zeros. The average score of the class would be 75. A sample of 10 random students would almost certainly include more 100s then 0s, but both would be included in the sample. The mean of this samples score is closer to 75 than any individuals.

The mean of this sample score is closer to 75 than any individuals.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The mean of 10 randomly selected students is definitely more likely to be closer to 75. 10 randomly selected students to include information and are more like to reflect the class’s scores. Consider an extreme example. Seventy-five students in a class of 100 earned perfect scores.

The other 25 earned zeros. The average score of the class would be 75. A sample of 10 random students would almost certainly include more 100s than 0s, but both would be included in the sample. The mean of this sample score is closer to 75 than any individuals.

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the zeros are

x=-1.5 -----> multiplicity 1

x=0

x=2 ----> multiplicity 2

possible function

y=-x(x+1.5)(x+2)^2 -----> leading coefficient must be negative

Answer:

X=5

Step-by-step explanation:

20/4