A book cost $18 that is 3 times more than a dvd how much does a dvd cost

Answer:

[tex](u \circ \; w)(2) = \boxed{7}[/tex]

[tex](w \circ \;u)(2) = \boxed{3}[/tex]

Step-by-step explanation:

We have the two functions as

[tex]u(x) = x^2 + 3\\\\w(x) = \sqrt{x + 2}[/tex]

[tex](u \circ w)(x)[/tex] also written as [tex]u(w(x))[/tex]  is the composite function;  it means that
[tex]x = w(x)[/tex] should be substituted in [tex]u(x)[/tex]

To determine [tex](u \circ w)(x)[/tex], simply substitute the expression for [tex]w(x)[/tex] wherever there is an x in [tex]u(x)[/tex]

For a specific value of x, in this case x = 2,

Part 1
[tex](u \circ w)(2):\\\\w(2) = \sqrt{2 + 2} = 4(u \circ w)(2) = 2^2 + 3 = 4 + 3 = 7[/tex]

For [tex](w \circ u)(x),[/tex] we substitute the expression for [tex]u(x)[/tex] into [tex]w(x)[/tex] wherever an [tex]x[/tex] appears in [tex]w(x)[/tex]

For a specific value of x, say 2, find the value of u(2) and substitute it into [tex]w(x)[/tex]

[tex]u(2) = 2^2 + 3 = 7[/tex]

[tex](w \circ u)(2), = \sqrt{7 + 2} = \sqrt{9} = 3\\[/tex]

The value of tan V as a fraction in simplest terms is 4/3

From the question, we have the following parameters that can be used in our computation:

The triangle

From the triangle, we have the following readings

Opposite of V = √(35² - 21²) = 28

Adjacent of V = 21

The formula for tan V is then calculated as

tan V = Opposite /Adjacent

Substitute the known values in the above equation, so, we have the following representation

tan V = 28/21

Simplify

tan V = 4/3

Hence, the solution is 4/3

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The initial value of the investment is denoted by 480 in the function.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

V(t) = 480 [tex](1.065)^t[/tex]

V is the total value after t years.

Now,

480 is constant and it indicates the initial value of the investment.

1.065 indicates that there is an increase of 6.5% each year.

Thus,

480 in the function denotes the initial value of the investment.

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The distance between two cities are 7000 miles apart.

What is distance ?

Distance is the amount of space between two points or objects. In the context of the question you asked earlier, "distance between two cities" refers to the actual physical distance between the two cities in terms of miles.

Given by the question:
On the map, 500 miles is represented by each 0.5 inches. Therefore, 1 inch represents 1000 miles.

So, the distance between the two cities on the map is 7 inches. This corresponds to a real-world distance of:

distance on map / scale on map = actual distance

7 inches * 1000 miles/inch = 7000 miles

Therefore, the two cities are 7000 miles apart.

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Answer:

Ms. Perry needs to make an additional 1/24 kg of fudge.

Step-by-step explanation:

Ms. Perry has a total of 8/8 + 1/6 = 13/6 kg of fudge. She needs 1 1/8 kg of fudge for the brownies, which is equivalent to 9/8 kg. To find how much more fudge she needs to make, we can subtract the amount of fudge she already has from the amount she needs:

9/8 - 13/6 = 27/24 - 26/24 = 1/24

Therefore, Ms. Perry needs to make an additional 1/24 kg of fudge.

The original price of the article without the discount is %60.

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods.

Let us suppose original price = x.

Given that, after a discount, the marked price of an article is 48$ and the discount is 20%.

Thus,

48 = x(1 - 20/100)

48 = x(80/100)

x = 60

Hence, the original price of the article without the discount is %60.

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Answer:

we can assume that m = 90% cause the square so the we know that all the angles add up to 180° so ad 30 +90 and then subtract you sum from 180 and that is the angle of x

The number of days when there were at least 40 children in the park is 5 days.

To find the number of days that saw at least 40 children in the park, check the instances when there were either 40 children or more in the park.

Given the stem and leaf plot, the children in the park on days when there were more than 40 children or 40 children was:

The number of days is therefore 5 days.

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Option D. Nominal measurement is used primarily to name or categorical data.

Nominal measurement is one of the four levels of measurement used in statistics, along with ordinal, interval, and ratio measurement. Nominal data are qualitative or categorical data that can be assigned to discrete categories based on some characteristic or attribute, such as color, gender, or species. Nominal data do not have a natural ordering, so they cannot be ranked or ordered based on magnitude or size.

Nominal measurement is a type of measurement in which data are named or categorized based on some characteristic or attribute. Nominal data are typically qualitative or categorical in nature, meaning that they are not numerical in value. Examples of nominal data include gender, race, religion, color, or type of animal.

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The solution is found by slope of the graph and the solution is 2,200.

Let x the amount of money per hour and y the total amount of money.

Studio A:-

Rents for 100 dollars plus 50 dollars per hour.

[tex]y= 100 + 50x[/tex]

So the slope is 50 and the y intercept is 100.

Studio B:-

rents for 50 dollars plus 75 dollars per hour.

[tex]y= 50 + 75x[/tex]

So the slope is 75 and the y intercept is 50.

ThrTh solution is 2200 , see the gragraphph.

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Complete question:- You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $50 per hour. Great Sounds Studio rents for $50 plus $75 per hour. Solve the system by graphic method.

The number of  used games consoles is 9 and the number of new game consoles is 5

Here we use the Linear equation method to solve the problem. Since we don't know the number games, represent them with variables x and y.

Now for two linear equations according to the conditions as given in the problem. Solve the equations for the values of both x and y by using the substitution method.

Here we have

An electronics store sells used game consoles for $79.00 and new ones for $149.00

Let 'x' and 'y' be the number of used and new game consoles respectively

Cost of 'x' used games consoles = 79x

Cost of 'y' new game consoles = 149y

Given total profit =$ 1456    

=> 79x + 149y = 1456 ----- (1)

The total number of game consoles = 14

=> x + y = 14

=> x = 14 - y ---- (2)

Substitute (2) in (1)

=> 79(14 - y)  + 149y = 1456

=> 1104 - 79y + 149y = 1456

=> 70y = 350

=> y = 5

From (2) => x = 14 - 5 = 9

Therefore,

The number of  used games consoles is 9 and the number of new game consoles is 5

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By using the Pythagoras theorem, AC + AD = BC is proved.

The relationship between the sides of a triangle can be proven using the properties of triangles.

Let us denote the length of AC as a and the length of AD as b. Since the triangle is right angled at A, the lengths of its sides must adhere to the Pythagorean theorem, that is a² + b² = (AB)². Additionally, since the bisector of ∠ C intersects the side AB at D, the length of AC must equal the length of AD, that is a = b.

Using the two equations above, we can substitute b for a in the equation a² + b² = (AB)² and solve for a. This results in a = AB/2. Substituting a for AB/2, we get

=> (AB/2)² + b² = (AB)².

Finally, multiplying by 2, we can get AB + 2b² = 2(AB)², which can be simplified to AB + 2b² = 2a².

Since a = b, this can be simplified to

=> AB + 2b² = 4b²,

resulting in AB = 2b².

Therefore, AC + AD = AB = 2b² = 2(AC) = BC, proving that the statement AC + AD = BC holds true for any right triangle right angled at A such that AB = AC and the bisector of ∠ C intersects the side AB at D

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Complete Question:

△ ABC is a right triangle right angled at A such that AB = AC and bisector of ∠ C intersects the side AB at D. Prove that AC + AD = BC.

The value of 350 milliliters to ounce after conversion the unit is equal to  11.8349 ounce.

Formula used to convert milliliters to ounce is written as:

One milliliter is equal to 0.033814 fluid ounce .

Now substitute the value 350 milliliters to convert into ounce we get,

⇒ 350 milliliters = ( 350 ) × (  0.033814 ) fluid ounce

⇒ 350 milliliters = ( 11.8349 ) fluid ounce

Therefore, the converted value of the milliliters to ounce for 350 milliliters is equal to  ( 11.8349 ) fluid ounce.

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As per weight measurement, half cup of butter is equal to 113 grams or eight tablespoons of butter. In ounces it is actually 4oz.

An object's weight serves as a gauge for its weight. Weight is expressed in common units of measurement. The weight of an object can be measured with tools using the gram and kilogram. The metric system that is universally accepted as a reference for measurements is called the International System of Units. The kilogram is the SI unit for mass or weight.

A common unit of measurement for cooking volume is the cup, which is used to determine serving and cooking sizes. Normal conversion: 1 cup = 8 liquid ounces = 1/2 pint. 16 fluid ounces divided by 2 cups equals one pint. 4 cups are equivalent to 32 fluid ounces, 2 pints, and 1 quart. 8 cups equal 64 fluid ounces, or 4 pints.

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The length of the addition to the room will be 8 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that Teri has a living room that is 9 feet wide and has an area of 108 square feet. She is adding to the room. The remodelled living room will have a total area of 180 square feet.

The added length will be calculated as:-

TA = A₁ + A₂

180 = 108 + 9x

72 = 9x

x = 72 / 9

x = 8 feet

Therefore, the length of the room addition will be 8 feet.

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The value of millimeter in elevation can be calculated by simply dividing the millimeter by25.4 so 10 mm is0.394 elevation.

Unit conversion is the process of rephrasing the dimension of a given quantum between different units, constantly through multiplicative conversion factors that change the value of the measured volume without changing its goods.

Converting from millimetres to elevation

Between millimetres( mm) and elevation( in)

computation of elevation( dec) in elevation( frac) in bases plus Inches ft mm to elevation

* The value is rounded to the nearest1/64 bit for the elevation bit.

How to change metric units to elevation

elevation are equal to0.03937007874 millimetres in length

1 mm = (1/25.4) ″ = 0.03937007874 ″

The distance d in millimetres( mm) divided by25.4 gives the distance d in elevation( ′ ′)

d( ″) = d( mm)/25.4

illustration of 20 mm converted to elevation

d( ″) = 20 mm/25.4 = 0.7874 ″

How numerous millimetres are in one inch

elevation are equal to one millimetre

1 mm = 1 mm/25.4 mm/ in

= 0.03937 in.

What's the millimetre to inch conversion

millimetres make up one inch.

1 inch Equals 25.4 millimetres per inch.

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Answer:

1 Microliter = 0.001 Milliliter

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 microliter it is equivalent to 0.001 Milliliter.

The correct statement regarding the impact of the mass increase in the mean and median are given as follows:

The mean will increase, and the median will stay the same.

The mean of a data-set is given by the sum of all the observations in the data-set divided by the number of observations in the data-set.

Hence, if one observation is increased, the sum of all the observations also increases, and thus the mean of the data-set increases.

The median of a data-set is the middle value of the data-set, the value which 50% of the measures are less than and 50% are greater than.

The data-set in this problem has an odd cardinality of 5, meaning that the median is the third element of the data-set, which is not affected by the weight of the heaviest elevant, and thus the median remains constant.

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Answer:

Her final number is 594.

Step-by-step explanation:

Increase 600 by !0%:

0.1 * 600 = 60

600 + 60 = 660

Decrease result by 10%:

0.1 * 660 = 66

660 - 66 = 594

Answer:

It will take Ashley 3 hours to be 9 miles ahead of Gina, since she is traveling 6 mph faster. This can be calculated by dividing 9 miles by 6 mph to get 1.5 hours. Therefore, the answer is 1.5 hours, or 1.5 as a decimal.

The decimal value of the 38 percentage is 0.38

The percentage is defined as the ratio that represent the fraction of 100. The percentage can be represented by the sign %.

To convert a percentage to a decimal, you need to divide the percentage by 100.

Here the percentage value is 38. So to convert to decimal we have to divide the  given number by the number 100.

To convert 38% to decimal, you would perform the following calculation:

= 38 ÷ 100

Divide the number and find the decimal number

=38 / 100

= 0.38

Therefore, 38% as a decimal is 0.38.

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The given question is incomplete, the complete question is:

How to convert 38% to decimal ?

Answer:

110

Step-by-step explanation:

Answer:thxx

Step-by-step explanation:

Usually there are 52 Sundays in a year approximately.

There are a total of 52 weeks in a year if we take a rough estimate.

Every week has one sunday in it. So, going by this logic, each year will have about 52 sundays in it.

Now, one thing that we should notice here is that is not certain that there will be definitely 52 sundays. This number of 52 can increase also by a number of one or two because it is possible that the year might not starting from sunday. Because when we do 365/7 we get 52.14 so, this decimal place might include one or two Sundays in it.

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According to the paragraph, some people prefer to step away from conflict for the meantime. More time allows them to contemplate their next action.

Conflicts result from conflicts of interest, viewpoints, or even philosophical concepts. The basis of conflict can be personal, racial, class, caste, political, or even international, thus it will always exist in society.

The scenario in the picture shows how people react or respond to conflict and some people prefer to talk about it right away, while some people prefer to give it some time.

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Answer:

  7 units

Step-by-step explanation:

You want the length of the longer side of the rectangle defined by the coordinates (−4, 2), (3, 2), (3, −2), and (−4, −2).

When you plot the points, or simply consider the coordinates, you see the sides of the rectangle are vertical and horizontal line segments.

The length of a vertical segment is the difference of its endpoint y-coordinates:

  2 -(-2) = 4

The length of a horizontal segment is the difference of the x-coordinates of its endpoints:

  3 -(-4) = 7

The longer side is 7 units long.

The eigenvalues are λ₁= 2 and λ₂=4. The eigenvectors are [tex]\vec{v_1}=\left[\begin{array}{c}-1\\1\end{array}\right][/tex] and [tex]\vec{v_2}=\left[\begin{array}{c}1\\1\end{array}\right][/tex]. The general solution is [tex]\begin{aligned}x(t)&=-C_1e^{2t}+C_2e^{4t}\\y(t)&=C_1e^{2t}+C_2e^{4t}\end{aligned}[/tex].

An eigenvector is considered as a non-zero vector x of matrix A such that Ax=λx. This scalar (λ) is the eigenvalue.

Given the equations are x'(t) = 3x(t) + y(t) and y'(t) = x(t) + 3y(t). Now, let's write them in the matrix form as follows,

[tex]\begin{aligned}\left[\begin{array}{c}x'\\y'\end{array}\right] &=\left[\begin{array}{cc}3&1\\1&3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]\\X'&=AX\end{aligned}[/tex]

From, the above expression, the coefficient matrix A is written as [tex]A=\left[\begin{array}{cc}3&1\\1&3\end{array}\right][/tex].

Now let's write the characteristic equation |A-λI|=0 as follows,

[tex]\begin{aligned}\left|\begin{array}{cc}3-\lambda&1\\1&3-\lambda\end{array}\right|&=0\\\lambda^2-6\lambda+8&=0\end{aligned}[/tex]

Solving the above equation, we get λ₁= 2 and λ₂=4.

For λ₁= 2, we obtain the eigenvector as follows,

[tex]\left[\begin{array}{cc}3&1\\1&3\end{array}\right]\left[\begin{array}{c}x_1\\x_2\end{array}\right]=\left[\begin{array}{c}2x_1\\2x_2\end{array}\right][/tex].

From this, the equations are written as 3x₁+x₂=2x₁ and x₁+3x₂=2x₂. Solving we get, x₁=-x₂ and x₂=x₂. Then, the eigenvector is written as[tex]\vec{v_1}=\left[\begin{array}{c}-1\\1\end{array}\right][/tex].

For λ₂=4, we obtain the eigenvector as follows,

[tex]\left[\begin{array}{cc}3&1\\1&3\end{array}\right]\left[\begin{array}{c}x_1\\x_2\end{array}\right]=\left[\begin{array}{c}4x_1\\4x_2\end{array}\right][/tex].

From this, the equations are written as 3x₁+x₂=4x₁ and x₁+3x₂=4x₂. Solving we get, x₁=x₂ and x₂=x₂. Then, the eigenvector is written as[tex]\vec{v_2}=\left[\begin{array}{c}1\\1\end{array}\right][/tex].

Then, the general solution is,

[tex]\begin{aligned}X(t)&=C_1e^{\lambda_1t}\vec{v_1}+C_2e^{\lambda_2t}\vec{v_2}\\ \left[\begin{array}{c}x\\y\end{array}\right]& =C_1e^{2t}\left[\begin{array}{c}-1\\1\end{array}\right] +C_2e^{4t}\left[\begin{array}{c}1\\1\end{array}\right] \end{aligned}[/tex]

And, the component-wise, the general solution is written as

[tex]\begin{aligned}x(t)&=-C_1e^{2t}+C_2e^{4t}\\y(t)&=C_1e^{2t}+C_2e^{4t}\end{aligned}[/tex]

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If the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The number of marbles you have will depend on the total mass of the marbles, as the number of moles is a measure of the amount of substance (in this case, marbles) rather than the actual number of marbles.

To calculate the number of marbles, you would need to know the mass of one marble, and then divide the total mass of the marbles by the mass of one marble.

For example, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would first calculate the total mass:

mass = number of moles x molar mass

where the molar mass of a single marble is equal to its mass in grams, and the number of moles is given as 2:

mass = 2 moles x 5 grams/mole = 10 grams

Then, you can calculate the number of marbles by dividing the total mass by the mass of one marble:

number of marbles = total mass / mass of one marble

number of marbles = 10 grams / 5 grams/marble = 2 marbles

Therefore, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

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The conversion of 64kg in pounds  is equivalent to approximately 141.09568 pounds.

The kilogram (kg) is the SI unit of mass. It is equal to the mass of the international prototype of the kilogram. This prototype is a platinum-iridium international prototype kept at the International Bureau of Weights and Measures. One kg is approximately equal to 2.20462262184878 pounds.One pound, the international avoirdupois pound, is legally defined as exactly 0.45359237 kilograms.

To convert 64 kilograms to pounds, you can use the conversion factor of 1 kilogram = 2.20462 pounds.

Therefore,64 kilograms = 64 x 2.20462 pounds

= 141.09568 pounds (rounded to 5 decimal places)

So, 64 kilograms is equivalent to approximately 141.09568 pounds.

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a. The probability of finding oil is 0.45

b. The probability of finding high-quality oil is 0.25

c. P(medium quality oil) = 0.20

d. P(no oil) = 0.55

The probabilty of finding oil

P(oil) = P(high quality oil) + P(medium quality oil)

= 0.25 + 0.20

= 0.45

b. P(soil high quality oil) = 0.20

P(medium qty) = 0.80

P(no oil) = 0.20

The probability of finding oil is good.

Given the probability of finding good soil, the oil company is more likely to find medium quality oil.

The new probability of finding oil is

P(High quality) + P(medium quality) =

0.15625 + 0.5

= 0.65625

Using the conditional probabilty formula

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