Chloe lives in an area where she runs the air conditioner during the 4 hottest months of the year. the air conditioner runs for 7 hours per day at a cost of 21 cents per hour. how much does she spend per year on utility bills for the air conditioner?(assume there are 30 days in each month) a. $705.60 b. $588.00 c. $216.09 d. $176.40 please select the best answer from the choices provided a b c d

Answer:

c. 2/3

Step-by-step explanation:

the value of the number marked on the number line is 4/6, which simplifies down to 2/3.

The required function is y=11.047t + 199.12

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The given table shows the balance of a money market account over time.

Time (t)     Balance(y)

0                     200

1                      210

2                    220.5

3                    231.53

4                     243.1

5                   255.26

The function that represents the balance y(in dollars) after t years is a linear regression line because the value of y increased linearly.

The linear regression function is defined as y =bx +a

Where,

a= ∑y(∑x²)-∑x(∑xy) / n(∑x²)-(∑x)²

b= n(∑xy)-∑x(∑y) / n(∑x²)-(∑x)²

Put the values from the table attached below in the above formulas.

The value of b is 11.047 and the value of a is 199.12.

Here, the variable is t.

Therefore the required function is  y=11.047t + 199.12.

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Answer: the unit rate is 1.49/1

or $1.49 per pound.

Step-by-step explanation:

Answer:

Your answer should be C

Step-by-step explanation:

Answer:

3x - 2y = -18

Step-by-step explanation:

3x - 2y = -18 and (-2, 6)

(3)(-2) - (2)(6) = -6 - 12 = -18

Answer: 1, 3, 9

Step-by-step explanation:

Factors are numbers that go into that number evenly

Factors of 9:

1, 3, 9

Answer:

Step-by-step explanation:

So, the total unit number of sixth graders polled is 12.

39/12=3.25

So, you'd do 8x3.25=26 students like lemonade

13 students like iced tea

Answer:

number between 0 and 1

Step-by-step explanation:

a² > a This statement is not true when “a” is a number between 0 and 1

┈

Example:

　(½)² > ½

　= (½ × ½) > ½

　= ¼ > ½ [False]

Answer:

... number between 0 and 1

Step-by-step explanation:

See graph below.  For a > 1 and a < 0 the a^2 graph is above a.

The probability of drawing any one of the letters from the given list is 1/16. The probability of drawing either an "F" or "P" tile is 2/16 or 1/8. The probability of drawing a vowel is 4/16 or 1/4. The probability of not drawing a "Q" tile is 15/16.

In the given list, there are a total of 16 tiles with different letters. Since there is an equal chance of drawing any one of the tiles, the probability of drawing any specific letter is 1 out of 16, which can be written as 1/16.

To determine the probability of drawing either an "F" or "P" tile, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes. Since there are two tiles with either "F" or "P" out of the 16 total tiles, the probability is 2 out of 16, which simplifies to 1/8.

To calculate the probability of drawing a vowel, we need to count the number of vowel tiles and divide it by the total number of tiles. In this case, there are four vowel tiles (A, I, O, U) out of the 16 total tiles. Therefore, the probability of drawing a vowel is 4 out of 16, which can be simplified to 1/4.

Finally, to find the probability of not drawing a "Q" tile, we subtract the probability of drawing a "Q" from 1. Since there is only one "Q" tile out of the 16 total tiles, the probability of drawing it is 1 out of 16. Hence, the probability of not drawing a "Q" tile is 15 out of 16, which simplifies to 15/16.

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Answer:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

Step-by-step explanation:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

The transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units

The functions are given as:

\(f(x) = 6x + 2\)

\(g(x) = 6x - 4\)

Subtract function f(x) from g(x),

\(k = g(x) - f(x)\)

This gives

\(k = 6x - 4 - 6x - 2\)

Collect like terms

\(k = 6x- 6x - 4 - 2\)

\(k = -6\)

The above represents the unit of translation of function f(x) to g(x).

Hence, the transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units

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Answer:

4

Step-by-step explanation:

Hey there!

-y - (-3) = 7

-y + 3 = 7

-y = 7 - 3

-y = 4

=> y = -4

Hope it helps ya!

The reflection of the quadrilateral DEFG will be given in the figure.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry.

The image of the figure under reflections in line m and then line t.

The reflection of the quadrilateral DEFG will be given in the figure.

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Answer:

y + 7 = 2/5 (x + 4)

Step-by-step explanation:

y + 7 = 2/5 (x + 4)

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Answer:

7) .15 + .7 = .85, .1 + .7 = .8

9) Another way to write 44n (44

times n) is 44•n.

Another way to write 44 ÷ n (44

divided by n) is 44/n.

10) $.25 × 7 = $1.75

11) A driver buys d gallons of gas at $3.25 per gallon. How much does the driver spend on gas?

Answer:

yes

Step-by-step explanation:

Answer:

i think its 6/2=3/1

Step-by-step explanation:

Answer:

hypotenuse —>26

Legs —> 10 and 24

Step-by-step explanation:

Generally ,the hypotenuse is the longest side .

So in our triangle the hypotenuse is of length 26.

Consequently, the legs are of lengths 24 and 10.

Also ,we can verify that this is right triangle using the Pythagorean theorem:

26^2 = 676

24^2+10^2 = 676

Then

26² = 24²+10².

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

Answer:

- x³

Step-by-step explanation:

x² × x - 2x³

= x³ - 2x³

= - x³

Answer:

1/6

Step-by-step explanation:

1/3×2/4 = 2/12

2/12 = 1/6

Given function is x²y - 2x² - 8 = 0

The function is implicit because y is not isolated, and it is present in the function. To differentiate implicitly to find dy/dx, we use the following steps:

First, we take the derivative of both sides of the equation with respect to x

The derivative of the left side: d/dx(x²y) = 2xy + x²(dy/dx)The derivative of the right side:

d/dx(-2x² - 8) = -4x

We then simplify the equation as follows:2xy + x²(dy/dx) = 4xTo find dy/dx, we need to isolate it by bringing all the y terms to one side and factorizing it:

2xy + x²(dy/dx) = 4x2xy = -x²(dy/dx) + 4x2y = x(4 - y(dy/dx))(dy/dx) = (x(4 - 2y))/x²dy/dx = (4 - 2y)/x

We can now use the value of x and y coordinates given to find the slope of the curve at the point

(2, 4)dy/dx = (4 - 2y)/x = (4 - 2(4))/2 = -2

Therefore, the slope of the curve at the point (2, 4) is -2.

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The surface area of the bacterium is approximately 2.64 × 10⁻⁷ mm².  The volume of the bacterium is approximately 1.43 × 10⁻³³ cm³ .

To find the volume of a spherical bacterium, we can use the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius of the bacterium. Given that the diameter of the bacterium is 2.9 μm, we can calculate the radius by dividing the diameter by 2: r = 2.9 μm / 2 = 1.45 μm.

Converting the radius to centimeters, we divide by 10,000 (since 1 cm = 10,000 μm): r = 1.45 μm / 10,000 = 0.000145 cm.

Now we can substitute the radius into the volume formula: V = (4/3)π(0.000145 cm)³.

Evaluating the expression, the volume of the bacterium is approximately 1.43 × 10⁻³³ cm³ .

To find the surface area of the bacterium, we use the formula for the surface area of a sphere: A = 4πr².

Substituting the radius into the formula, we get: A = 4π(0.000145 cm)².

Evaluating the expression, the surface area of the bacterium is approximately 2.64 × 10⁻⁷ mm².

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The data collected from the survey was then used to inform decision-making and planning in relation to college programs and services.

In February and March 2007, an online survey was conducted to collect data from college parents. The survey was sent via email to 41,000 parents who were listed in either the College Parents of America database or the Student Advantage database. The goal was to invite parents to participate in the survey and provide their feedback.

Out of the 41,000 parents who were invited, 1727 completed the online survey. The survey was designed to protect the anonymity of the participants, meaning their identities were not disclosed, and their responses were kept confidential.

However, the survey did not allow more than one response from an individual IP address. This means that if multiple responses were received from the same IP address, only the first response would be counted.

Overall, this online survey was conducted to gather information from college parents, and the results were based on the responses received from the 1727 parents who completed the survey. The data collected from the survey was then used to inform decision-making and planning in relation to college programs and services.

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Answer:

C

Step-by-step explanation:

2ab * sqrt[3](192ab^2) - 5 * sqrt[3](81 a^4b^5) =

= 2ab * sqrt[3](4^3 * 3 * a * b^2) - 5 * sqrt[3](3^3 * 3 * a^3 * a * b^3 * b^2)

= 2ab * 4 sqrt[3](3 * a * b^2) - 5 * 3 * a * b * sqrt[3](3 * a * b^2)

= 8ab * sqrt[3](3 * a * b^2) - 15ab * sqrt[3](3 * a * b^2)

= -7ab * sqrt[3](3ab^2)

Answer: C

Answer:

46.75 in.2, 61.75 in.2

Step-by-step explanation:

its in your notes/lesson on gradpoint

Answer:

Step-by-step explanation:

Given the inequality solved by H=Jamie expressed as:

500 − 30x ≥ 200

We need to calculate the range of x of the inequality to determine the number of weeks she can spend $30 as shown:

500 − 30x ≥ 200

Subtract 500 from both sides

500 − 30x - 500≥ 200 - 500

− 30x ≥ -300

Divide both sides by -30

− 30x/-30 ≥ -300/-30

x ≤ 10 (note that the inequality sign changes after dividing both sides by a negative sign)

Jamie's error was that she didn't change the sense of inequality after dividing both sides by -30 hence rendering her solution incorrect

Hence the number of weeks is less than or equal to 10.

Answer:

Answer is B

Step-by-step explanation:

Jamie should have reversed the inequality when using the division property of inequality. is the right answer hope it helps

Answer:

no tengo la menor idea

Answer:

x = 1

Step-by-step explanation:

Δ ABC and Δ DEF are congruent ( SAS postulate )

Thus corresponding sides are congruent that is

BC = EF , substitute values

13x - 12 = 7x - 6 ( subtract 7x from both sides )

6x - 12 = - 6 ( add 12 to both sides )

6x = 6 ( divide both sides by 6 )

x = 1

True. An exclusion is a value for a variable in the numerator or denominator that will make either the numerator or denominator equal to zero.
True, an exclusion is a value for a variable in the numerator or denominator that will make either the numerator or denominator equal to zero. This is important because division by zero is undefined, and such exclusions must be considered when solving equations or working with fractions. By identifying these exclusions, you can avoid potential mathematical errors and better understand the domain of a function or equation. In mathematical terms, this is known as a "zero denominator" or "zero numerator" situation. In such cases, the equation or expression becomes undefined, and it cannot be evaluated. Therefore, it is essential to identify and exclude such values from the domain of the function or expression to ensure the validity of the result. Failure to do so can lead to incorrect answers or even mathematical errors. Hence, understanding and handling exclusions is an essential aspect of algebra and calculus.

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Answer:

#1 is A #2 is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

A linear model is applicable if we can create a linear equation based on the connection between the independent and dependent variables (because there is no constant rate of change).

These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

Thus, despite its being curved, a linear model is adequate for this time and price scatterplot.

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