mary wants to buy a dvd. the original price was $29. the dvd is on sale for 30% off. how much was the discount? How much will mary pay for the dvd before sales tax is added?

The dimensions that maximize the area are, 96cm and 84cm.

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Let the height of poster be h and breadth be b,

bh = 15630cm square........(1)

Height of the printed area=h-10-10 = h - 20

(decrement of 10 from top and bottom)

the breadth of the printed area b-6-6 = b-12

(decrement of 9 from both sides)

for maximum printed area:

A=(h-20)(b-12) should be maximum

\(A = (h - 20)(\frac{15360 }{h}-12)\)

From equation (1)  

\(A = 15360-12h-\frac{307200}{h} +240\)

A = 15600 - 12h - (307200/h)

differentiate with respect to h (it should be=0)

\(\frac{dA}{dh}= 0-12 + \frac{307200}{h^2}\)

\(12 = \frac{307200}{h} \\h = 160 cm\)

from equation (1),

\(bh = 15630cm^2\\b = 96cm\)

dimension of printed area,

= h - 20

= 160 - 20

= 140 cm

= b - 12

= 96 - 12

= 84 cm

Therefore, the dimensions that maximize the area are, 96cm and 84cm.

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Answer:

16

Step-by-step explanation:

x=-3

g(x)=4(-4(-3)-8)

g(x)=4(4)

g(x)=16

The journaliztion of the  the adjusting entries needed for the previous items affecting Laughter Landscaping on December 31 is made.

To journalize the adjusting entries needed on December 31 for the previous items affecting Laughter Landscaping, you would make the following entries:

b. DR Insurance Expense, $4,500
  CR Prepaid Insurance, $4,500

c. DR Office Supplies Expense, $6,800
  CR Office Supplies, $6,800

d. DR Unearned Revenue, $4,200
  CR Service Revenue, $4,200

c. DR Accounts Receivable, $3,000
  CR Service Revenue, $3,000

f. DR Depreciation Expense - Equipment, $3,700
    CR Accumulated Depreciation - Equipment, $3,700

  DR Depreciation Expense - Trucks, $1,300
    CR Accumulated Depreciation - Trucks, $1,300

g. DR Interest Expense, $300
  CR Interest Payable, $300

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Answer: 234 inches

Step-by-step explanation:

The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.

To convert the length to inches therefore, convert the length from meters to centimeters first:

1 meter = 100 cm

6 meters would therefore be:

= 6 * 100

= 600 cm

1 cm = 0.39 inches so 600 cm is:

= 600 * 0.39

= 234 inches

The system of equations which can be used to model the scenario will be:

n = 2d    _(1)

0.05n + 0.10d = 1.40  _(2)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Consider that

Number of dimes = d

Number of nickels = n

Number of nickels = 2 × number of dimes

n = 2d - - - - - (1)

Then Worth of nickels and dimes:

A dime = $0.10

A nickel = $0.05

The total worth of nickel and dimes can be expressed as;

(Worth per nickel × number of nickels) + (worth per dime × number of dimes)

(0.05 × n) + (0.10 × d) = 0.05n + 0.10d = 1.40

Therefore, the systems of equation required are;

n = 2d _____________(1)

0.05n + 0.10d = 1.40 _____(2)

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Answer:

whats the whole question

Step-by-step explanation:

Answer:

study bunny

plantie

evernote

google calendar

bear

trello

Step-by-step explanation:

these are all free with premium versions

Answer:

well if you have to do some fractions and you dont know that answer and you need the answer right away and you need to show your work. Just look up fraction cauculator  or u can look up a mixed fraction cauculator. I hope this helps. :)

and the other thing that helps me stay focus is i listen to music it always helps me consatrats

The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.

This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.

It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.

In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

y < 1/4x + 3

Step-by-step explanation:

the line is dotted so we know the symbol will not include the "equal to" part

we can also see that the shading in below the y intercept, so we know that the symbol will also be less than

this means the symbol is <

now, create an equation for the line:

we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4

so the slope is 1/4

now put this together and you get 1/4x + 3

this part will go on the right side of the < symbol in your inequality

so now you can create an inequality: y < 1/4x + 3

Answer:

y < \(\frac{1}{4}\) x + 3

Step-by-step explanation:

m = \(\frac{1}{4}\) and coordinates of y-intercept are (0, 3)

y < \(\frac{1}{4}\) x + 3

The capacity of fish tank in quarts is 246.

Therefore the answer is 246.

A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.

There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.

The capacity of the fish tank in pints is 492.

Therefore, the capacity of the fish tank in quarts is

= 492 pints / 2 pints per quart

= 246 quarts

So, the capacity of the tank in quarts is 246 quarts.

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The fraction of  42 that is 6 is mathematically given as

42*1/7

Generally, the equation for the statement is mathematically given as

42/x=6

Therefore

x=42/5

x=7

In conclusion, The fraction of  42 that is 6  is

42*1/7

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The shortest length possible in the given question is 4.0×\(10^{-10}\) cm .

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

Most people interpret length to mean an object's longest dimension. Nevertheless, depending on the object's position, this is not always the case.

There are several terms for the length of a fixed object, including height, which is also known as vertical length or vertical extent, and width, breadth, or depth. When a base exists from which vertical measurements can be taken, height is used.

Nanometer(nm)- In the International System of Units (SI), a nanometer (American spelling) is a unit of length that is equal to 1000 picometres and one billionth (short scale) of a meter (0.000000001 m).

now , for find the shortest length we can covert all the given units into centimeter,

1 pm = \((10)^{-10}\) cm

1 nm = \((10)^{-7}\) cm

1 m =  100 cm

we have , 400 pm = 4× \((10)^{-8}\) cm

                4.0 nm  =  4 × \((10)^{-7}\) cm

      4.0 x \((10)^{-4}\)m = 4 × \((10)^{-2}\) cm

and   4.0 x \((10)^{-10}\) cm

hence , clearly it is shown that shortest length is 4.0 x \((10)^{-10}\) cm .

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Answer:

twenty five square meters

Step-by-step explanation:

100 divided by four

Answer:

30%

Step-by-step explanation:

this week:

4 × 7 = 28 hours

earns: 28 × 11 = £308

reduction: 440 - 308 = 132

% reduction

132/440 × 100

30%

Step-by-step explanation:

Refer to pic............

To determine whether to reject or fail to reject the null hypothesis, we typically rely on statistical hypothesis testing. After conducting a hypothesis test, we consider the test statistic and the corresponding p-value.

When the p-value is less than or equal to the predetermined significance level (usually denoted as α), we reject the null hypothesis. This indicates that the observed data provides sufficient evidence to support the alternative hypothesis. Conversely, when the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we do not have enough evidence to support the alternative hypothesis.

The significance level α is predetermined and represents the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). The choice of the significance level depends on the specific research context and the consequences of making a Type I error.

It is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true. It simply means that the observed data does not provide enough evidence to support the alternative hypothesis. There could still be other factors or limitations in the study that contribute to the lack of significant results.

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Answer:

1.67×10^-3

=(8×10^6)/(4.8×10^9)

=1.67×10^6-3

=1.67×10^-3

Answer:

Hi there!

Your answer is:

Domino's waits to reveal the price until the end because, psychologically, you're predisposed to put & LEAVE more toppings on your pizza. If you see how each topping affects the price of the pizza each time you add one, you may limit the amount you choose. If you wait until the end to see it, by that point you think "Well I need these toppings on there to make it delicious." From a business standpoint, it's more financially beneficial to use the "hide the price until the end" system. However, from a consumer standpoint, most prefer seeing a live breakdown of how each topping affects the price so we can limit what we pay to a reasonable amount.

I hope this helps!

The derivative and domain of the function f(x) = x²-2x³  is :\((-\infty, \infty)\).

The slope of a function's graph or, more precisely, the slope of the tangent line at a point can be used to interpret a function's derivative.

Its computation actually stems from the slope formula for a straight line, with the exception that curves require the employment of a limiting procedure.

Calculation for the derivative:

Step 1: Use the definition of the derivative. Remember that f(x+h) means plug (x+h) into everywhere there is an "x" in f(x).

\(\begin{aligned}f^{\prime}(x) &=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} \\&=\lim _{h \rightarrow 0} \frac{(x+h)^{2}-2(x+h)^{3}-\left(x^{2}-2 x^{3}\right)}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(x^{2}+2 h x+h^{2}\right)-2(x+h)(x+h)^{2}-x^{2}+2 x^{3}}{h} \quad \text { cancel } x^{2}\end{aligned}\)

       \(\begin{aligned}&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2(x+h)\left(x^{2}+2 h x+h^{2}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2\left(x^{3}+2 h x^{2}+h^{2} x+h x^{2}+2 h^{2} x+h^{3}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-2 x^{3}-4 h x^{2}-2 h^{2} x-2 h x^{2}-4 h^{2} x-2 h^{3}+2 x^{3}}{h}\end{aligned}\)

       \(=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-6 h x^{2}-6 h^{2} x-2 h^{3}}{h}\)

Step 2: Cancel out a factor of h from each term in the numerator with the h in the denominator. Then direct substitute h=0.

      \(\begin{aligned}&=\lim _{h \rightarrow 0}\left(2 x+h-6 x^{2}-6 h x-2 h^{2}\right) \\&=2 x+0-6 x^{2}-6(0) x-2(0)^{2} \\&=2 x-6 x^{2}\end{aligned}\)

f and f' are polynomials, so their domains are all real numbers.

Therefore,  for f(x) = x²-2x³      domain of f and f' :\((-\infty, \infty)\).

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The complete question is -

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative f(x) = x²-2x³.

There are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.

The total number of ways to form the delegation from five pairs of dance partners can be calculated using the combination formula. The combination formula is used to calculate the number of different combinations of n objects taken r at a time without repetition.

In this question, n is the total number of dance partners (5) and r is the number of people on the delegation (4).

Therefore, the calculation is as follows:

total number of ways = nCr

                    = 5C4

                    = 5! / 4!(5-4)!

                    = 5! / 4!1!

                    = 5 x 4 x 3 x 2 x 1 / 4 x 1 x 1

                    = 5 x 4 x 3 x 2

                    = 120

Hence, there are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.

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Answer: Tonya's house is 2.37 miles farther from the school than Jamal's house.

Step-by-step explanation: To solve this problem using a quick picture, we can draw a line segment to represent the distance from the school to Tonya's house, and another line segment to represent the distance from the school to Jamal's house. We can then use a ruler to measure the length of each line segment and subtract the length of the line segment representing the distance to Jamal's house from the length of the line segment representing the distance to Tonya's house.

For example, if we draw a line segment that is 3.64 inches long to represent the distance from the school to Tonya's house and a line segment that is 1.27 inches long to represent the distance from the school to Jamal's house, then we can use a ruler to measure the lengths of the line segments and find that the line segment representing the distance to Tonya's house is 3.64 - 1.27 = 2.37 inches longer than the line segment representing the distance to Jamal's house. This means that Tonya's house is 2.37 miles farther from the school than Jamal's house.

The binary search tree is better than the sorted link with respect to efficiency and intricacy.

Comparing a sorted linked list to a binary search tree for up to 1000 integer members, the intricacy of the algorithm in the sorted linked list grows over time. It differs depending on where the seeking element is located in sorted links. It requires little time if the searching element is present at the beginning of the linked list. However, in a linked list, the worst-case scenario occurs if the seeking element is present at 1000. Searching for the element in that position takes a long time.

The 1000 elements in a binary search split into two main wings. This type of search varies in difficulty depending on tree height. In the worst situation, if there are about equal numbers of elements on the left and right sides of the wing, searching for an element takes about half as long as searching for it in sorted links. Binary is more effective than Sorted as it uses a binary search algorithm instead of the linear search technique used by linked lists.

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To determine the discriminant of a quadratic equation, we substitute the values of a, b, and c into the expression b^2 - 4ac. The discriminant helps us determine the nature of the solutions of the quadratic equation.

For a quadratic equation of the form ax^2 + bx + c = 0, the discriminant (D) is given by b^2 - 4ac.

Based on the value of the discriminant (D), we can determine the nature of the solutions:

If D > 0, the quadratic equation will have two distinct real number solutions.

If D = 0, the quadratic equation will have one real number solution (a repeated root).

If D < 0, the quadratic equation will have no real number solutions (complex solutions).

Since the options provided do not include any values for a, b, or c, it is not possible to determine the discriminant or identify which quadratic equations will have two real number solutions. If you provide the specific values for a, b, and c, I would be able to calculate the discriminant and determine the nature of the solutions for the quadratic equation.

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9514 1404 393

Answer:

  E)  20

Step-by-step explanation:

The triangles are all similar, so the ratios of short to long sides are ...

  EF/FC = CF/FD

  8/CF = CF/50 . . . . . . use given values

  400 = CF² . . . . . . . . . cross multiply

  20 = CF . . . . . . . . . . . take the square root

Answer:

Length of pipe = 21 cm

Internal diameter = 4 cm

Internal radius = \frac{4}{2} = 2 cm24=2cm

Thickness = 0.5 cm

Outer radius = 2+0.5=2.5 cm

Volume of pipe =\pi R^2 h - \pi r^2 hπR2h−πr2h

Volume of pipe =\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3

=\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3722(2.5)2(21)−722(2)2(21)=148.5cm3

Hence The volume is 148.5 cubic cm.

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The thickness of a metal pipe is 1.5cm. The inner diameter is 21cm. What is the volume of metal required for a pipe of length 7cm

Answer: 20x-6 = 34

Step-by-step explanation:

Given: The length of rectangle is represented by 8x - 3.

The width of the rectangle is represented by 2x.

The perimeter is 34 inches.

Perimeter of rectangle = 2 (length + width)

Perimeter of rectangle = 2 (8x-3+2x)

Perimeter of rectangle = 2 (10x-3)

Perimeter of rectangle = 20x-6

Thus , the required equation that represent the perimeter: 20x-6 = 34

Answer:

$86.83

Step-by-step explanation:

75.50 x 15% = 11.33

75.50+11.33 = $86.83

Answer:

$86.83

Step-by-step explanation:

$75.50x15%=11.33

75.50+11.33= $86.83

Answer:

I don't know.

Answer:

It's (-3, -2)

I did the math, don't worry