whats the total amount

Whats The Total Amount

Answers

Answer 1

Answer: The answer is 4.64$

Step-by-step explanation:

9 pencils is 2.25$. and we have 2.39$ for the notebook. 2.25 + 2.39 = 4.64


Related Questions

The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function

F(x)=-3.452x^4+35.129x^3-93.005x^2+41.705x+177.494

Where x is the number of years since 1996. Find the number of bald eagles in the state the winter of 1999

Answers

The number of bald eagles in the state during the winter of 1999 would be 34.

Karen and Wayne need to buy a refrigerator because theirs just broke. Unfortunately, their savings account is depleted, and they will need to borrow money in order to buy a new one. Sears offers them an installment loan at 14% (add-on rate). If the refrigerator at Sears costs $1,598 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 3 years, what is the monthly payment? (Round your answer to the nearest cent.)

Answers

Karen and Wayne will need to make monthly payments of $66.39 for 3 years to pay off the loan for their new refrigerator for a given sales tax.

The add-on interest loan formula can be used to determine the monthly payment:

(Loan amount + Interest) / the number of payments equals a payment.

We must first determine the refrigerator's total cost, including sales tax:

Final price is $1,598 plus 5% of $1,598.

$1,677.90 is the total price.

Secondly, we must determine the loan's interest rate:

Interest is calculated as Loan Amount * Addition Rate. Ages in years

Interest equals $702.25 when $1,677.90 multiplied by 0.14 by three.

When interest is included, the total loan amount is:

Loan amount = Purchase price plus interest

Total of the loan: $1,677.90 plus $702.25

Amount borrowed: $2,380.15

In the end, we can figure out the monthly payment:

Payment: ($2,380.15) divided by (3 years * 12 months/year) =

monthly payment of $66.39

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Find the x-coordinate where the graph of the function f of x equals e raised to the power of negative 1 times x squared has a slope of 0.

Answers

There is no x-coordinate where the graph of the function [tex]f(x) = e^{-x^{2}}[/tex] has a slope of 0. However, the best answer would be (A) 0.

will mark brainliest its timed hurry!

Answers

Answer:

I think the answer is B?

Step-by-step explanation:

Need help with question #7

Answers

The coordinates of the matrix A with the given base S are:

<1, 2, 0, 2>

How to find the coordinates?

The coordinates will be a vector of the form:

<x, y, z, k>

Such that these four values are each of the coefficients that affect each one of the matrices in the base respectively.

Then we can write a system of equations like:

x + y + z + k = 5

x - y - z  = 3

x + y = 3

x = 1

We can replace the last equation in the third one to get:

1 + y = 3

y = 3 - 1

y = 2

Now we can replace x and y in the second equation:

1 + 2 - z = 3

z = 1 + 2 - 3

z = 0

And the with the first equation:

1 + 2 + 0 + k = 5

3 + k = 5

k = 5 - 3 = 2

Then the coordinates of the matrix A are:

<1, 2, 0, 2>

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Which of the following statements best explains the equation below?

17.8 – 4 x 3 = 12 ÷ 3 + 1.8

Answers

The solution is : (-2,7) is the point of intersection.

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

To solve the equations by graphing, use the form y=mx + b to find the slope and y-intercept of each equation. Graph the line and find their intersection point.

y = −2x + 3                                     y = −4x − 1

Slope: -2                                        Slope: -4

Y-int: (0,3)                                      Y-int: (0,-1)

Start at (0,3) and go down            Start at (0,-1) and go down 4 units

2 units and 1 to the right.               and 1 to the right. Connect the points.

Connect the points.

Continue this pattern in either direction for both lines until they intersect each point. The point of intersection (x,y) is the solution to the system of equations.

See attached graph.

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Complete question:

A pair of linear equations is shown below: y = −2x + 3 y = −4x − 1 Which of the following statements best explains the steps to solve the pair of equations graphically?

Jane and Rob go to the local cafe to have breakfast. A single chocolate muffin has 290 calories, and a blueberry muffin has 270 calories. Both muffins can be bought at the local cafe. The fruit platter has 190 calories and the french toast has 350 calories. A glass of orange juice is 40 calories and milk is 102 calories. The hashbrowns and eggs have twice the calories of the fruit platter. Jane has half a blueberry muffin with a whole fruit platter and a third of a glass of milk for breakfast. Rob has hash browns and eggs with a half glass of orange juice.

What was the smaller amount of total calories consumed, between Jane and Rob? Round to the nearest whole calorie. Do not include units in your answer. For example, if the answer is 19 calories, put 19.

Answers

The smaller amount of total calories consumed is 359 calories.

Describe Algebra?

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is a broad area of study that includes a wide range of topics, such as equations, inequalities, functions, polynomials, matrices, and more.

Algebraic expressions are composed of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations, on the other hand, are mathematical statements that assert the equality of two algebraic expressions. Inequalities are mathematical statements that assert the relationship between two algebraic expressions using the symbols "<", ">", "<=", or ">=".

Functions in algebra are mappings from one set of numbers to another set of numbers that obey certain rules. These rules may involve properties such as continuity, differentiability, and invertibility.

Jane consumes:

Half a blueberry muffin: 0.5 * 270 = 135 calories

Whole fruit platter: 190 calories

A third of a glass of milk: (1/3) * 102 = 34 calories

So her total calorie intake is: 135 + 190 + 34 = 359 calories (rounded to the nearest whole calorie).

Rob consumes:

Hashbrowns and eggs: 2 * 190 = 380 calories

Half a glass of orange juice: 0.5 * 40 = 20 calories

So his total calorie intake is: 380 + 20 = 400 calories.

Therefore, the smaller amount of total calories consumed is 359 calories.

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giving brainlist(for the right answer) ! ⚠

Solve this non linear Second Order Differential Equations,

(but don't use Ai) I know if it's from there​

Answers

The general solution to the differential equation is M = (1/2)n² + Bn, where B is an arbitrary constant.

Describe Differentiation?

In calculus, differentiation is a process of finding the rate at which a function changes with respect to its input variable. It is the process of finding the derivative of a function, which represents the slope of the tangent line to the graph of the function at a given point.

The derivative of a function f(x) at a point x=a is denoted as f'(a) and is defined as the limit of the difference quotient as the interval between a and a+h approaches zero, where h is a small nonzero number.

The process of differentiation involves applying differentiation rules or formulas, which are a set of rules that make it easier to find the derivative of various functions. Some of the common rules include the power rule, product rule, quotient rule, and chain rule.

To solve the given differential equation:

[tex]\frac{d^{2}M }{dn^{2} } + 2n\frac{dM}{dn} =n[/tex]

We can assume a solution of the form:

[tex]M= An^{p}[/tex]

where A and p are constants to be determined.

Taking the first derivative of M with respect to n, we get:

[tex]\frac{dM}{dn} = Apn^{p-1}[/tex]

Taking the second derivative of M with respect to n, we get:

[tex]\frac{d^{2}M }{dn^{2} }= A(p)(p-1)n^{p-2}[/tex]

Substituting these expressions into the original differential equation, we get:

[tex]A(p)(p-1)n^{p-2} + 2Apn^{p-1}= n[/tex]

Simplifying, we get:

[tex]A(p)(p-1)n^{p-2} + 2Apn^{p}=n^{p+1}[/tex]

Since this equation must hold for all values of n, we can equate the coefficients of each power of n to get two equations:

A(p)(p-1) = 0

2Ap = 1

From the first equation, we get:

p = 0 or p = 1

If p = 0, then M = A, a constant. Substituting into the differential equation, we get:

0 = n

This is not true for all values of n, so p cannot be 0.

If p = 1, then M = An. Substituting into the differential equation, we get:

2An + 2nA = n

Simplifying, we get:

A = 1/2

Therefore, the solution to the differential equation is:

M = (1/2)n² + Bn

where B is a constant of integration.

Thus, the general solution to the differential equation is:

M = (1/2)n² + Bn

where B is an arbitrary constant.

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Help with question please

Answers

A graph of the image of ABC under a dilation whose center is P and scale factor is 2 is shown in the image below.

What is dilation?

In Geometry, a dilation can be defined as a type of transformation which typically changes the size of a geometric shape, but not its shape.

In this exercise, we would use an online graphing calculator to plot the image of ABC after a dilation by a scale factor of 2 centered at P.

Based on the image (see attachment), we can logically deduce that each vertex is 2 times as far from center P as the original vertex and each segment is 2 times as long as the original:

Side length A'C' = 8.2 × 2 = 16.4

Side length A'B' = 5.0 × 2 = 10.0

Side length B'C' = 5.8 × 2 = 11.6

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A computer science teacher wants to show how many lines of code each of her students wrote for a specific assignment. She thought about using a box plot, but in the end she used a line plot. What is the most likely explanation for her choice?

Answers

Answer:

Step-by-step explanation:

She chose a line plot because it is an easier way to display the amount of students and how many lines of code they each wrote. That way on a line plot, it displays the number of students, and the frequency amount of times the same number of lines of code were written.

Use a formula to find the surface area of the square pyramid.
3 ft
6 ft
3 ft

Answers

The surface area of the square pyramid is 89.4 ft² as the lateral area is  80.4 ft².

How to calculate the surface area of a square pyramid?

The surface area of a square pyramid is calculated by the formula

SA = B + 4ℓ, where B is the area of the base and ℓ is the lateral area.

In this case, the base area is 9 square feet (3 ft x 3 ft). The lateral area is 4ℓ, which is calculated by multiplying the slant height by the perimeter of the base.

The slant height of a square pyramid is calculated by the formula

s = √(h² + (a/2)²), where h is the height of the pyramid and a is the length of one side of the base.

In this case, the height is 3 ft and the length of one side of the base is 3 ft. Therefore, the slant height is

s = √(3² + (3/2)²)

= √(9 + 2.25)

= √11.25

= 3.35 ft.

The perimeter of the base is 6 ft (3 ft x 2). Therefore, the lateral area is

4ℓ = 4 x 3.35 ft x 6 ft

= 80.4 ft².

The surface area of the square pyramid is then

SA = B + 4ℓ

= 9 ft² + 80.4 ft²

= 89.4 ft².

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Find the measure of the arc or central angle indicated.Assume that lines which appear to be diameters are actual diameters

Answers

Answer: What do you mean where is the arc?

Step-by-step explanation:

eight x equals two thirds

Answers

Answer:

x = [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

8x = [tex]\frac{2}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

24x = 2 ( divide both sides by 24 )

x = [tex]\frac{2}{24}[/tex] = [tex]\frac{1}{12}[/tex]

In the figure, m∠EDF = 42°. Which other angle must have the same measure? A diagram of the inscribed quadrilateral with the points of D, E, F, and G, in which D with an angle of 42 degrees. A. ∠DEG B. ∠EGF C. ∠GDF D. ∠EGD

Answers

Therefore, the correct option is B. ∠EGF with the angle measure of 138°.

What is quadrilateral?

A quadrilateral is a four-sided polygon with four vertices and four angles. It is a closed figure with four straight sides that do not intersect. Examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses. The sum of the interior angles of a quadrilateral is always 360 degrees.

Here,

In an inscribed quadrilateral, opposite angles are supplementary. That is, the sum of the measures of any two opposite angles is 180 degrees. Therefore, to find the angle that has the same measure as ∠EDF, we need to look for the angle that is also opposite ∠EDF in the inscribed quadrilateral.

In the inscribed quadrilateral with points D, E, F, and G, we know that ∠EDF has a measure of 42 degrees. We also know that the opposite angle to ∠EDF is ∠EGF, because they share side EF.

Since opposite angles in an inscribed quadrilateral are supplementary, we can find the measure of ∠EGF by subtracting 42 degrees from 180 degrees:

∠EGF = 180° - ∠EDF

= 180° - 42°

= 138°

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Find the missing side lengths. Leave your answers and radicals in the simplest form.

Answers

Answer:

x = 6;

y = 33

Step-by-step explanation:

Use trigonometry:

[tex] \ \cos(60°) = \frac{3}{x} [/tex]

Use the property of proportion to find x:

[tex]x = \frac{3}{ \cos(60°) } = \frac{3}{0.5} = 6[/tex]

Use the Pythagorean theorem to find y:

[tex] {y}^{2} = {x}^{2} - {3}^{2} [/tex]

[tex] {y}^{2} = {6}^{2} - {3}^{2} = 36 - 9 = 27[/tex]

[tex]y > 0[/tex]

[tex]y = \sqrt{27} = \sqrt{9 \times 3} = 3 \sqrt{3} [/tex]

Given the equation d over 11 equals 14, solve for d.

Answers

Step-by-step explanation:

To solve for d in the equation d/11 = 14, we can multiply both sides by 11 to isolate d on one side of the equation.

d/11 = 14 (multiply both sides by 11)

d = 11 x 14

Simplifying, we get:

d = 154

Therefore, the solution for d is 154.

Several friends each want to buy a ticket to a football game that costs $75.99. To earn money, they worked extra hours at their job where they each earn $9.10 per hour. The table shows the number of hours each person worked each day. Who earned enough money to buy a ticket? What inequality can you write to represent this situation?

Answers

Total earnings < Ticket cost,  this inequality represents this situation.

What is inequality ?

The inequality, A declaration of relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Equations and questions can both be used to formulate and answer inequality problems.

How to solve inequalities statements?

Write two values   being compared in the problem in step one. Decide the first value is greater or less than the second value in step two.In step third Insert  inequalities symbol between the first and second values if the first value is greater than the second.

We calculate who earned enough money to buy a ticket,than need to calculate the total amount earned by each friend.

For  the total amount earned by each friend by multiplying the number of hours worked by hourly rate,

In Friend 1; 5 hours x $9.10 per hour = $45.50

In  Friend 2; 4 hours x $9.10 per hour = $36.40

In Friend 3; 7 hours x $9.10 per hour = $63.70

In Friend 4; 3 hours x $9.10 per hour = $27.30

In Friend 5; 6 hours x $9.10 per hour = $54.60

If each friend earned enough money to buy a ticket, than need to compare their total earnings to the cost of a ticket =$75.99. That is, Total earnings ≥ Ticket cost

Now ,substitute their total earnings for each friend,

In,Friend 1; $45.50 ≥ $75.99 that is Not enough money

In Friend 2; $36.40 ≥ $75.99 that is Not enough money

In Friend 3; $63.70 ≥ $75.99 that is Not enough money

In Friend 4; $27.30 ≥ $75.99 that is Not enough money

In Friend 5; $54.60 ≥ $75.99 that is Not enough money

Nobody   of  friends earned enough money to buy a ticket,

therefore ,Total earnings < Ticket cost.

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Luna's pet miniature pig, Fiona, weighed 50 pounds at her one-year check-up. Based on her
weight at an earlier check-up, the vet had predicted Fiona would weigh 6% more than that.
What weight had the vet predicted for Fiona?

Answers

The answer would be 53 pounds

PART B:
If Dr. Nandi plans to transport 3.5 x 105 energy prisms that each take up 2 x 10² cubic feet of cargo
space, how much total space will the cargo take up? Answer in Scientific Notation. Show your work.
Edit View Insert Format Tools Table

Answers

Answer:

Step-by-step explanation:

just guess if not use the internet

Solve the systems by substitution.
-y=x
-16=9x-7y

Answers

Answer: The solution to the system of equations by substitution is (x, y) = (-1, 1).

Step-by-step explanation:

Prove the following: in a group [tex]G[/tex],[tex](a^{m})^{n}=a^{mn}[/tex], for all [tex]a\in G[/tex] and [tex]m,n\in \mathbb{Z}[/tex]?

Answers

we have shown that [tex]$(a^m)^n = a^{mn}$[/tex] for all [tex]$a \in G$[/tex] and [tex]$m, n \in \mathbb{Z}$[/tex].

How to prove the given Problem?

To prove that in a group G, [tex]$(a^m)^n = a^{mn}$[/tex] for all [tex]$a \in G$[/tex] and [tex]$m, n \in \mathbb{Z}$[/tex], we need to show that both sides of the equation are equal.

We start by simplifying the left-hand side:

[tex]$(a^m)^n = a^{mn}$[/tex]

This is because raising a to the power of m and then to the power of n is the same as raising a to the power of mn. This property is known as the associative property of exponents.

Next, we need to show that the right-hand side of the equation is also equal to [tex]$a^{mn}$[/tex]:

[tex]$a^{mn} = a^{nm}$[/tex]

This is because multiplication is commutative in [tex]$\mathbb{Z}$[/tex], which means that [tex]$mn = nm$[/tex]

Therefore, we have shown that [tex]$(a^m)^n = a^{mn}$[/tex] for all [tex]$a \in G$[/tex] and [tex]$m, n \in \mathbb{Z}$[/tex].

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I need an answer to this,

Answers

Answer:

use what u learn from the teacher

I need help ASAP PLEASEEEEEEEEE!!!

Answers

Answer:

14 units.

Step-by-step explanation:

2(4y - 3) + 2(3y - 1) = 62  Distribute the 2's.

8y - 6 + 6y -2 = 62  Combine like terms

14y -8 = 62  Add 8 to both sides

14y = 70  Divide both sides by 14

y = 5

Now find side QR:

3y - 1

3(5) - 1

15 - 1

14

Helping in the name of Jesus.

In 2019, the average high school GPA for incoming University of Maryland freshman was 4.32 with a standard deviation of 0.285. Suppose UMD freshman are randomly assigned into groups of 25.

What is the standard deviation of the sampling distribution of all samples like this:

Give the formula with values that you entered in your calculator as a way of showing your work:

Answers

The standard deviation of the sampling distribution of all samples is 0.057.

What is the standard deviation?

The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Here, we have

Given: In 2019, the average high school GPA for incoming University of Maryland freshmen was 4.32 with a standard deviation of 0.285. Suppose UMD freshmen are randomly assigned into groups of 25.

We have to find the standard deviation of the sampling distribution of all samples.

Let x = High-school GPA scores of students in 2019.

E(x) = 4.32, S.D(x) = 0.285, n = 25

Suppose we consider the sampling distribution of the sample mean of all these samples, then we have

E(x) = 4.32

S.D(x) = 0.285/√25

= 0.057

Hence, the standard deviation of the sampling distribution of all samples is 0.057.

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rosa has a limit to the time she may play video games each day she plays for 9 mins on monday which is 30% of the time she can play how many more minutes can rosa play on monday?

Answers

According to the calculations we can conclude that Rosa can play 21 more minutes on Monday.

If 9 minutes represents 30% of the time Rosa can play video games, we can use proportional reasoning to find the total time she can play. Let x be the total time she can play in minutes.

9 / x = 30 / 100

We might cross-multiply and simplify to find x's value:

9 * 100 = 30 * x

900 = 30x

x = 900 / 30

x = 30

So Rosa can play a total of 30 minutes each day.

To find how many more minutes she can play on Monday, we subtract the time she has already played from the total time:

30 - 9 = 21

Therefore, Rosa can play 21 more minutes on Monday.

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Please help with this equation I’ll give brainliest

Answers

Answer:

a. A linear equation would best represent the total cost a shopper will pay for an order.

b. y = .7x + 5 would model this situation.

a boat is tied to a dock using 2 ropes. what is the length of rope A?​

Answers

I think it could be 10.9 ft

Need help factoring each expressions

Answers

Answer:

a. factors of 3x²-7x-6 =(x-3) and (3x+2)

b factors of 4x²-49=(2x-7) and (2x+7)

Can anyone helppppppp look at picture

Answers

The graph of the original triangle and the after the dilation are shown below:

Triangle dilation graph 8.

What is dilation?

Dilation refers to the process of expanding or stretching an object or a space in one or more directions. In mathematics, dilation is a geometric transformation that changes the size of an object or a figure by either enlarging or reducing its dimensions, while preserving its shape and orientation.

In the context of image processing and computer vision, dilation is an operation that is commonly used to enhance and extract features from images. It involves convolving an image with a small structuring element or kernel, which slides over the image and replaces each pixel with the maximum value within the kernel.

For a dilation with a scale factor of 0.5 and centered at the origin, each coordinate of the triangle will be multiplied by 0.5. Thus:

J(8,0) will become J'(4,0)

L(-2,0) will become L'(-1,0)

K(4,4) will become K'(2,2)

The graph of the original triangle and the image after the dilation are shown below:

Triangle dilation graph 6

For a dilation with a scale factor of 2 and centered at the point (8,3), each coordinate of the triangle will be multiplied by 2 and then translated by the vector (8,3). Thus:

A (9,8) will become A'(26,14)

C (0,2) will become C'(8,7)

G (3,3) will become G'(14,9)

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83
ces
Required information
[The following information applies to the questions displayed below.]
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of
$84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value.
During its second year, the machine produces 33,300 units of product.
Determine the machine's second-year depreciation and year end book value under the straight-line method.
Choose Numerator: /
Year 2 Depreciation
Year end book value (Year 2)
Straight-Line Depreciation
Choose Denominator:
=
=
Annual Depreciation
Expense
Depreciation expense

Answers

The machine's second-year depreciation is $6,660 and the year-end book value under the straight-line method is $65,280.

What is depreciation?

The cost of a tangible asset is spread out throughout the course of depreciation. It symbolises the asset's value dropping over time as a result of damage, obsolescence, or other circumstances. Depreciation is crucial because it enables firms to account for an asset's cost over the course of its useful life rather than just in the year it was purchased.

Depreciation can be calculated using a number of different approaches, such as the straight-line method, the decreasing balance method, and the sum-of-years' digits method.

The annual depreciation expense is:

Annual Depreciation Expense = (Cost of Asset - Salvage Value) / Useful Life in Units

Annual Depreciation Expense = ($84,600 - $6,000) / 393,000

Annual Depreciation Expense = $0.20 per unit

For second year we have:

Second-Year Depreciation = Annual Depreciation Expense x Units Produced in Second Year

Second-Year Depreciation = $0.20 x 33,300

Second-Year Depreciation = $6,660

Now, the year-end book value is:

Accumulated Depreciation = Annual Depreciation Expense x Number of Years

Accumulated Depreciation = $0.20 x 2

Accumulated Depreciation = $0.40 per unit

For:

Accumulated Depreciation = $0.40 x 33,300

Accumulated Depreciation = $13,320

Also,

Book Value = Cost of Asset - Accumulated Depreciation - Salvage Value

Book Value = $84,600 - $13,320 - $6,000

Book Value = $65,280

Hence, the machine's second-year depreciation is $6,660 and the year-end book value under the straight-line method is $65,280.

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What are the coordinates of x pre algebra magazine publishers stopped publishing general-interest magazines in favor of specialized magazines on almost every single topic after the advent of television in order to . A data set contains student test scores. The median test score is 75 points. The third quartile value is 85 points. The range of the test scores is 40 points. Which statement about the test scores in the data set is most likely true? A The lowest test score is 45 points. B About 25% of the test scores are between 75 and 85 points C The highest test score is 95 points. D About 25% of the test scores are less than 55 points I need help with this one quick ! Find the value of x. 69 to 38 Describe ways that you can prepare yourself and your family for fires and major disasters. Use as many examples as you can remember from the manual and presentation. Be sure to include an introductory paragraph, middle, and concluding paragraph. ESSAY Answer the question below sorry making this again consider a us treasury with 270 days to maturity the face value is 100 if the annual yeild is 3.8 percent what is the price which is a key aspect of leninism? responses socialist economic theory socialist economic theory aristocratic social structure aristocratic social structure free market economic principles free market economic principles military control of all social institutions military control of all social institutions consider the circuit shown below. what is the energy (in j) stored in each capacitor after the switch has been closed for a very long time? how is it possible for one species to produce many other species? to fill all the needed jobs in their ecosystem properly, anolis lizards diverged into exactly the amount of species necessary for their habitat. without competition from other species, the one species was able to adapt to fit all of the available habitat types. because the islands were isolated for an extended period, a lack of interbreeding between populations of the same species caused all the species to diverge. because the anolis lizards have such a diverse range of characteristics, they were able to produce many different species. for randolph company, the following information is available: investments in corporate bonds $560,000 copyrights 190,000 long-term receivables 210,000 in randolph's balance sheet, intangible assets should be reported at: Based on the measures shown, could the figure be a parallelogram?Yes, one pair of opposite sides could measure10 in., and the other pair could measure 13 in.Yes, one pair of opposite sides could measure10 in., and the other pair could measure 8 in.No, there are three different values for x when each expression is set equal to 10.No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent. proponents of rational expectations believe that: a the economy will have to experience long periods of unemployment during recessions. b the velocity of money does not exist. c monetary policies announced far in advance can still be effective in influencing real output. d changes in ad cause business cycles. e people will not be surprised by systematic monetary and fiscal policies. a copper wire has a length l and cross-sectional area a. another copper wire has a length of 2l and cross- sectional area 4a. what is the ratio of the resistivity of the second wire to the resistivity of the first one? Help plssssssssssssssss I need some help better understanding Area Volume/Differential Equations, as ive been stuck on this single string of questions in my workbook for some time now, any and all help would be appreciated."Let R be the region in quadrant 1 bounded by y=3sin(2x) and y=e^x "1) Find the area of R2) Let S be the solid generated by rotating R around the x-axis. Find the volume of S.3) Let Q be the solid generated by rotating R around the horizontal line y=5. Find the volume of Q4) Let P be the solid whose base is R and whose cross sections perpendicular to the x-axis are semicircles. Find the volume of P. On a certain day, Miquel. had a credit of $75 in her checking account and spent $240. Which represents the total change in his account that day?A. $315B. $365C. -$135D. -$165SHOW YOUR WORK!! Describe the incident, provide details of outcomes, hazards, injuries: One of the Ex-student from your college has recently been selected for the prestigious NDA (national defence academy) . He is specially invited to motivate the aspiring students of your jr. College. Imagine yourself as an interviewer and prepare a set of 8 interview questions