Last month I used 2205 kWh of electricity. If the rate was $.09884, my bill would be $

Answer:

-2, 8/3

Step-by-step explanation:

You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...

 A = (1/2)(f(a) +f(4))(4 -a)

 = (1/2)((3a -1) +(3·4 -1))(4 -a)

 = (1/2)(3a +10)(4 -a)

We want this area to be 12, so we can substitute that value for A and solve for "a".

 12 = (1/2)(3a +10)(4 -a)

24 = (3a +10)(4 -a) = -3a² +2a +40

 3a² -2a -16 = 0 . . . . . . subtract the right side

 (3a -8)(a +2) = 0 . . . . . factor

Values of "a" that make these factors zero are ...

 a = 8/3, a = -2

The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.

Alternate solution

The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.

Answer:

F. Hyperbola opening up/down

Step-by-step explanation:

Remember that you conic parent graph for a hyperbola up/down is:

\(\frac{(y-k)^2}{a^2} -\frac{(x-h)^2}{b^2} =1\)

Alternatively, you could use a graphing calc to graph the equation and figure out the conic type.

Answer:

Hyperbola opening up and down.

Step-by-step explanation:

Hyperbola opening up and down.

We determine  which way it opens as follows:

x is negative so we set x+1 = 0 .

That makes the term in y-2/3^2  = 1 , so when x = 0  y is positive so it opens upwards.

Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

Answer:

12 from the U.S, and 4 are not from the U.S

Step-by-step explanation:

16 divided by 4 is 4

4 times 3 is 12

12 minus 16 is 4

Answer:

Elena's sales and expenses will both be $0 if she sells 36 boxes of cards.

Step-by-step explanation:

Elena paid a flat fee of $54 as well as $9.50 for each box. She sells each box of cards for $11. Set the equation. Let the amount of box be signified by the variable, x.

9.50x + 54 = 11x

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, subtract 9.50x from both sides of the equation:

9.50x (-9.50x) + 54 = 11x (-9.50x)

54 = 11x - 9.50x

54 = 1.50x

Next, divide 1.50 from both sides of the equation:

(54)/1.50 = (1.50x)/1.50

x = 54/1.50

x = 36

36 boxes is your answer, and the sales and expense will be $0. She breaks even.

~

Answer:

YOUR ANSWER: Elena's sales and expenses will both be $396 if she sells 36 boxes of cards.

Step-by-step explanation:

Hi,

To begin, you have to write two separate equations to represent both, how much she spends, and how much she gets after selling her box of cards.

We know that she pays $9.50 for materials per box. We also know she pays $54 for her booth. We can write the equation...

y = 9.5x + 54

Now, to get the equation for how much she gets, we know that she sells each box of cards for $11. We can simply write...

y = 11x

Now, this is a system of equations. All we have to do is solve.

We know that y = 11x. We can plug it into the first equation like this...

11x = 9.5x + 54

Now, isolate the variable, x.

Subtract 9.5x on both sides...

1.5x = 54

Divide by 1.5 on both sides...

x = 36

Now, plug in 36 in both equations to get the value she has after selling 36 boxes.

In the first one...

y = 9.5 (36) + 54

y = 396

Now, the second one... (if we're right, it also has to equal 396)

y = 11 (36)

y = 396

That means we're correct.

YOUR ANSWER: Elena's sales and expenses will both be $396 if she sells 36 boxes of cards.

I hope this helps, let me know if you need anything else :)

The time took to meet is 12 minutes if two friends, Zeke and Marshall, are going to depart from their houses.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

Two friends, Zeke and Marshall, are going to depart from their houses and ride their bikes toward each other until they meet, and then have a picnic.

Let the time is x hour

Distance = time x speed

15x + 17x = 8

22x = 8

x = 8/22

x = 0.36 hour

x = 21 minutes

Thus, the time took to meet is 12 minutes if two friends, Zeke and Marshall, are going to depart from their houses.

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Answer: True. Renting is a great option for many people because it offers flexibility and affordability. Renting allows individuals to live in a desired location without the financial burden and commitment of owning a home. It also provides flexibility, as renters can easily move to a different location if their needs or circumstances change. Additionally, renting can be a more affordable option compared to owning a home, as it typically involves lower upfront costs and maintenance expenses. For these reasons, renting is a viable and attractive option for many people.

Step-by-step explanation:

The requirements to perform a one-way ANOVA are:

B. There must be k simple random samples, one from each of k populations or a randomized experiment with k treatments.

C. The k samples must be independent of each other, that is, the subjects in one group cannot be related in any way to subjects in a second group.

To perform a one-way ANOVA, the following requirements must be met:

1. There must be k simple random samples: The data should be collected from k populations or treatments. Each sample represents a different group or level of the independent variable under investigation.

2. The k samples must be independent: This means that the subjects or observations in one group should not be related to or dependent on the subjects or observations in another group. Independence ensures that the measurements in one group do not influence or affect the measurements in other groups.

It's important to note that the assumptions associated with the one-way ANOVA are related to the validity of the results rather than the actual performance of the test. Violations of these assumptions may affect the accuracy of the conclusions drawn from the analysis. The assumptions include:

It's worth mentioning that there are alternative versions of the ANOVA, such as Welch's ANOVA or Kruskal-Wallis test, that can be used when the assumptions of equal variances or normality are violated.

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Answer:

490

Step-by-step explanation:

the volume of a rectangular prism is length x width x height so use that equation to solve this question...

14 x 5 x 7 = 490

Answer:490

Step-by-step explanation

Answer:

Please refer the below attachments.

Hope it helps

Please mark me as the brainliest

Thank you

21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

The total cost of goods sold for the July 7 sale is $670, calculated using the Last In First Out (LIFO) method.

July 7th sale:

Beginning inventory: $2,000

Purchases:

June 30th: $1,000

July 5th: $600

Cost of goods sold:

June 30th: $1,000

July 5th: $400

July 7th: $270

Total cost of goods sold: $1,670

Ending inventory: $2,000 - $1,670 = $330

Cost of goods sold for July 7th sale: $1,670 - $330 = $1,340

he Last In First Out (LIFO) method is used to calculate the cost of goods sold for a business. This method assumes that the most recently purchased or produced goods are the first to be sold, used, or disposed of. To calculate the cost of goods sold with the LIFO method, the cost of the most recently purchased or produced goods is subtracted from the cost of the goods in inventory.

For the July 7 sale, the cost of goods sold can be calculated by subtracting the cost of goods in inventory ($742) from the cost of the goods purchased on July 7 ($812). This gives us a cost of goods sold of $670. This answer should be rounded to the nearest dollar, so the final answer is $670.

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The complete question is

Assuming LIFO, what is the cost of goods sold for the July 7 sale? (Round your final answer to the nearest dollar) what is the cost of goods sold for the July 7 sale?

A. $672

B. $670

C. $668

D. $667

The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.

Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.

This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.

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*diagram is in the attachment below

Answer:

Step-by-step explanation:

Given:

LN = 72

JP = 93

MK = 78

Required:

LQ, QN, QP, JQ MQ, and KQ.

Solution:

Apply the centroid theorem to find each missing measure.

✔️LQ = ⅔(LN)

LQ = ⅔(72)

LQ = 48

✔️QN = ⅓(LN)

QN = ⅓(72)

QN = 24

✔️QP = ⅓(JP)

QP = ⅓(93)

QP = 31

✔️JQ = ⅔(JP)

JQ = ⅔(93)

JQ = 62

✔️MQ = ⅓(MK)

MQ = ⅓(78)

MQ = 26

✔️KQ = ⅔(MK)

KQ = ⅔(78)

KQ = 52

Answer:

x = 36 degrees

y = 48 degrees

Step-by-step explanation:

The two given triangles are congruent

Hence, we can say that the interior angles are equal

We shall use the angle markings on each of the triangles

Using the markings, we can see that y is 48 degrees

Now, let us find the last angle measure of the first triangle

Mathematically, the sum of angles in a triangle is 180

Thus;

108 + 48 + A = 180

A = 180 - 48 - 108

A = 180 - 156 = 24

Now, the measure 2x-y is equal to this;

Hence;

2x -y = 24

2x = 24 + y

we have that y = 48

2x = 24 + 48

2x = 72

x = 72/2

x = 36 degrees

Answer:

Circumference ~ 233.7

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is about 37.2. Plug 37.2 into the formula 2(pi)r to find the Circumference. The answer is 233.7 rounded to the nearest tenth.

Answer:

C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.

Step-by-step explanation:

From the given information;

A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.

A random sample is usually an outcome of any experiment that cannot be predicted before the result.

SO;

One plan is to select 400 voters, another plan is to select 1,600 voters

If the study were conducted repeatedly (selecting different samples of people each time);

Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.  This is because a sample proportion deals with random experiments that cannot be predicted in advance and they  are  quite known to be centered about the population proportion.

9514 1404 393

Answer:

  (a)  f(x) = 85(1 – 0.25)^x

Step-by-step explanation:

The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.

Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x

The value is the initial value times this multiplier:

  f(x) = 85(1 -0.25)^x . . . . matches the first choice

The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.

After the second owner, it will be 75% of 75% (or 56.25%) of the original value.

Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.

Using this information, we can write the function f(x) as:

f(x) = 85 (0.75)ˣ

f(x) = 85(1 - 0.25)ˣ

where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.

Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The value of the line integral ∮C (x³)y dx - x dy, where C is the circle x² + y² = 1 with counter clockwise orientation, is -π/2

To evaluate the line integral ∮C (x³)y dx - x dy, where C is the circle x² + y² = 1 with counter clockwise orientation, parameterize the circle and then use the parameterization to compute the integral.

parameterize the circle C as follows:

x = cos(t)

y = sin(t)

where t ranges from 0 to 2π.

Now, let's compute the integral using this parameterization:

∮C (x³)y dx - x dy

= ∫(0 to 2π) [(cos(t)³)(sin(t))(-sin(t)) - cos(t)(cos(t))] dt

= ∫(0 to 2π) [-cos(t)²sin(t) - cos²(t)] dt

To evaluate this integral, we need to expand the terms and simplify the expression:

= -∫(0 to 2π) (cos²(t)sin(t) + cos²(t)) dt

= -∫(0 to 2π) (cos²(t)sin(t)) dt - ∫(0 to 2π) (cos²(t)) dt

The first integral on the right-hand side is zero since the integrand is an odd function integrated over a symmetric interval.

The second integral simplifies as follows:

= -∫(0 to 2π) (1 - sin²(t)) dt

= -∫(0 to 2π) (1 - (1 - cos²(t))) dt

= -∫(0 to 2π) cos²(t) dt

Using the trigonometric identity cos^2(t) = (1 + cos(2t))/2, the integral as:

= -∫(0 to 2π) (1 + cos(2t))/2 dt

= -[t/2 + sin(2t)/4] evaluated from 0 to 2π

= -(2π/2 + sin(4π)/4 - 0/2 - sin(0)/4)

= -π/2

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Answer:

Answer vary :

0.25884

Step-by-step explanation:

honestly in my opinion that’s the answer.

1. 21.57 times 0.12 = 2.5884

then divide 2.5884 by the power of ten, wich is moving the decimal to left with how many zeros their are.

-0.25884

since in 10 their is only one 0 we moved the decimal only one time to the left.

and that’s how I came to that solution.

The equation of the tangent line to the circle x^2 + y^2 = 37 at the point (6,1) is y = -6x + 37.

The equation of the tangent line to the circle x^2 + y^2 = 37 at the point (6,1) can be found by first finding the slope of the tangent line at that point and then using point-slope form to write the equation of the tangent line.

To find the slope of the tangent line at (6,1), we need to take the derivative of the circle equation with respect to x:

2x + 2y dy/dx = 0

Solving for dy/dx, we get:

dy/dx = -x/y

At the point (6,1), the slope of the tangent line is:

dy/dx = -(6)/(1) = -6

Now we can use point-slope form to write the equation of the tangent line:

y - y1 = m(x - x1)

where (x1,y1) is the point (6,1) and m is the slope we just found.

Substituting the values, we get:

y - 1 = -6(x - 6)

Simplifying the equation, we get:

y = -6x + 37

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There will be 312 pennies and 162 nickels that will make up to $11.22 and there are 474 coins altogether.

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is the expression. An expression in mathematics is a combination of numbers, variables, and functions. Expressions and phrases are similar in structure.

Here,

A penny is worth 1 cent.

A nickel is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

A dollar is worth 100 cents.

Let there be x pennies and y nickels.

x+y=474

0.01x+0.05y=11.22

Now,

0.01x+0.01y=4.74

0.01x+0.05y=11.22

subtracting both,

-0.04y=-6.48

y=6.48/0.04

y=162 nickels

x+162=474

x=312 pennies

There will be 312 pennies and 162 nickels totaling $11.22, for a total of 474 coins.

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Answer:

54 and 36

Step-by-step explanation:

84

45% of 120 students chose the amusement park , then

45% of 120 = 0.45 × 120 = 54

54 students chose the amusement park

85

45% of 180 = 0.45 × 180 = 81

25% of 180 = 0.25 × 180 = 45

81 - 45 = 36

36 more students chose the amusement park than the water park

Answer:

54, 36

Step-by-step explanation:

84

45% of 120 students chose the amusement park

45% of 120 = 0.45×120=54

54 students chose the amusement park

85

45% of 180 = 0.45 × 180 = 81

25% of 180 = 0.25 × 180 = 45

81 - 45 = 36

36 students chose the amusement park than the water park

Answer:

D

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4

\((-4)^{4}\) - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

B

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

C

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

D

divided by (x - 2), then a = 2

3\((2)^{4}\) - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

Answer:

(3x^(4)-5x^(3)+5x+2)-:(x-2)

Step-by-step explanation:

Plato/Edmentum

To find the shaded area you subtract the area of the triangle from the area of the rectangle:

Then, Tony's mistake was that he added the areas instead of subtract it.

The shaded are is:

Answer:

yes

Step-by-step explanation:

the slope is correct because 3+3/3-3=6/0

if the fraction for a slope has a zero underneath its undefined.