what is 103 as a decimal?

Answers

Answer 1

103 in decimal terms can be denoted by simply dividing the term by 100 so the value will be given as 1.03.

The division method can be used to convert 103/100 to a decimal. Here is a brief recap on fractions before we go to the method: A fraction is a representation of a number that has been divided into two parts: the numerator, which is the number at the top, and the denominator, which is the number at the bottom. Divide the numerator (103 in this case) by the denominator (100 in this case) to produce a decimal using the division method:

100 (denominator) minus 103 (numerator) equals 1.03.

So there you have it! When you convert 103/100 to a decimal, the result is 1.03.

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Related Questions

Select the addition problem that is shown by the fraction strips below.

Answers

Answer:2/8 + 2/8

Step-by-step explanation:

so, you start at 2/8

then, you add the extra 2/8

then, you add them together ( don’t forget: when the bottom numbers of the fraction are the same the stay at the same number ex: 3/8 + 3/8 = 6/8)

then after adding them up you get 4/8 which could also mean 1/2

ANSWER QUICKLY PLEASE
If XY = 24. XZ = 22, JQ = 9, and the radius of the circumscribed circle of AXYZ is 15, find QK.

Answers

The required, measure of QK is approximately 10.82.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.

First, we can use the Pythagorean theorem to find the length of side XZ:

[tex]XZ^2 = XY^2 - YZ^2[/tex]

[tex]YZ = \sqrt{(XY^2 - XZ^2) }[/tex]
[tex]= \sqrt(24^2 - 22^2) = 10[/tex]

The length of the perpendicular bisector of XY is half the distance between points A and the midpoint of XY. The midpoint of XY can be found by dividing the length of XY by 2:

midpoint of XY = (X + Y)/2

Since we are given the length of XY, we can find the coordinates of its endpoints X and Y. Let X be the origin (0,0) and let Y have coordinates (24,0) (since XY = 24). Then the midpoint of XY is the midpoint of XY
= (X + Y)/2
= (0 + 24)/2
= (12,0)

Now we can use the distance formula to find the distance between A and the midpoint of XY distance between A and the midpoint of XY
= [tex]= \sqrt((12 - 0)^2 + (0 - 15)^2)[/tex]
= [tex]\sqrt(12^2 + 15^2)[/tex]
=[tex]3 \sqrt(29)[/tex]

This is the length of the perpendicular bisector of XY, which passes through the center of the circumscribed circle. So the distance from Q to the center of the circle is the distance from Q to center = 15 - 9 = 6

Finally, we can use the Pythagorean theorem to find QK:

[tex]QK^2 = QJ^2 + JK^2 = QJ^2 + (distance \ from \ Q \ to\ center)^2[/tex]

[tex]QK^2 = 9^2 + 6^2 = 81 + 36 = 117[/tex]

[tex]QK = \sqrt(117)\\ = 10.82[/tex]

Therefore, QK is approximately 10.82.

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An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
P(high-quality oil)=0.45
p(medium-quality oil)=0.15
p(no oil)=0.40
a. What is the probability of finding oil (to 2 decimals)?
b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are given below.

Answers

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

How to solve this

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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what is the exact decimal equivalent of 7/10

Answers

Answer:

Step-by-step explanation:

Decimals are out of 100.

7/10 = 70/100

Which equals to 0.70 or 0.7

So your answer is 0.70 (0.7)

Answer:

The exact decimal equivalent of 7/10 is 0.7

Step-by-step explanation:

The reason for this is because when you divide something by ten you move the decimal place one place to the left.

So then 7.0 becomes 0.7 because the decimal place is moved once divided by ten.

The current exchange rate between Australia and the US is $AUD 1 = $USD 0.77.
How much $AUD can I get with $US 100,000?

Answers

Answer:

$129,870.13 AUD

Step-by-step explanation:

To find out what we need to solve, we can use these exchange rates:

1 AUD = 0.77 USD? AUD = 100,000 USD

Now, we need to divide 100,000 by 0.77.

100,000 ÷ 0.77 = 129,870.13

Why do we do this?

We do this because we need to figure out how many times 0.77 must be multiplied to get 100,000. Then, we take that amount, and multiply that by however many AUD's you have.

129870.13 × 1 = 129870.13

Therefore, for every $100,000 USD, there is $129,870.13 AUD.

What is the conversion of 64kg in pounds?

Answers

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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what is defference continuous vs discrete variable?

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A continuous variable is a variable that can take on any value within a certain range, and often takes the form of real numbers but a discrete variable is a variable that can only take on specific values within a certain range, and often takes the form of integers

Continuous and discrete variables are two types of quantitative variables in statistics.

A continuous variable is a variable that can take on any value within a certain range, and often takes the form of real numbers. Examples of continuous variables include height, weight, time, temperature, and distance. These variables can be measured using instruments with varying degrees of precision, but they can theoretically take on an infinite number of values.

On the other hand, a discrete variable is a variable that can only take on specific values within a certain range, and often takes the form of integers. Examples of discrete variables include the number of siblings a person has, the number of cars in a parking lot, and the number of points a basketball team scores in a game. These variables can only take on a limited number of values, and often represent counts or whole numbers.

The main difference between continuous and discrete variables is the way they can be measured and the number of possible values they can take. Continuous variables can take on an infinite number of values and can be measured with varying degrees of precision, while discrete variables can only take on specific values and are often measured with exact precision.

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Two pools are being filled with water. To start, the first pool contains 915 Liters of water and the second pool is empty. Water is being added to the first pool at a rate of 15.25 liters per minute. Water is being added to the second pool at a rate of 45.75 Liters per minute. After how many minutes will the two pools have the same amount of water? How much water will be in each pool when they have the same amount?

Answers

a) 30 minutes are taken to have the same amount of water.

b) Both pools have an amount of 1372.5 liters when 30 minutes have passed.

What is Linear Function?

A linear function is one that produces a straight line when plotted. Generally, it is a polynomial function with a maximum degree of 1 or 0. 

Now in the given question ,

a) Physically speaking, the capacity (Q) of each pool, in liters, is equal to the product of flow rate , in liters per minute, and time (t), in minutes. Hence, we derive the following functions :

First pool,

[tex]Q_1=915+15.25t\\[/tex]           ...... (1)

Second pool,

[tex]Q_2=45.75t[/tex]                   ....... (2)

The following expression can be used to calculate how long it will take to find two pools with the same amount of water:

[tex]Q_1=Q_2[/tex]                       ........ (3)

By putting value of (1) and (2) in (3),

915 + 15.25 t = 45.75 t

30.5 t = 915

t = 915 ÷ 30.5

t = 30 minutes

30 minutes are taken to have the same amount of water.

b) By (2) and knowing that t = 30 , then we have the corresponding amount:

[tex]Q_2=45.75t\\\\Q_2=45.75*30\\\\Q_2=1372.5L[/tex]

Both pools have an amount of 1372.5 liters when 30 minutes have passed.

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A fruit seller had 2520 apples and oranges. There were 2/3 as many apples as oranges. He threw some rotten apples away and the ratio of apples to oranges became 1 : 4. How many rotten apples did he throw away?

Answers

If the  fruit seller threw some rotten apples away and the ratio of apples to oranges became 1 : 4. The fruit seller threw away 630 rotten apples.

To find the number of rotten apples that the fruit seller threw away, we will need to use the given information and set up equations to solve for the unknown variable.

Let's start by using the given information that there were 2/3 as many apples as oranges. We can set up an equation to represent this relationship:

2/3 O = A

Where O is the number of oranges and A is the number of apples.

We are also given that the fruit seller had 2520 apples and oranges in total. We can set up another equation to represent this relationship:

O + A = 2520

Now, we can use the first equation to solve for one of the variables in terms of the other. Let's solve for A in terms of O:

A = (2/3)O

Now we can substitute this expression for A into the second equation:

O + (2/3)O = 2520

Simplifying this equation gives us:

(5/3)O = 2520

Now we can solve for O:

O = (3/5)(2520) = 1512

Now that we know the number of oranges, we can use the first equation to solve for the number of apples:

A = (2/3)(1512) = 1008

So the fruit seller originally had 1008 apples and 1512 oranges.

We are also given that after throwing away some rotten apples, the ratio of apples to oranges became 1:4. We can set up an equation to represent this relationship:

(A - X)/O = 1/4

Where X is the number of rotten apples that were thrown away.

Substituting the values we found for A and O into this equation gives us:

(1008 - X)/1512 = 1/4

Cross-multiplying and simplifying gives us:

4(1008 - X) = 1512

4032 - 4X = 1512

4X = 2520

X = 630


Therefore, the answer to the question is 630.

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For a large order of brownies. Ms. Perry made 8/8 kg of fudge in her kitchen. She then got 1/6 kg from Mrs. Marshall. If she needs a total of 1 1/8kg for brownies, how much more fudge does she needs to make?

Answers

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.

find the exact side values?

Answers

Answer:

[tex]a = \frac{5 \sqrt{2} }{2} [/tex]

[tex]c = \frac{3 \sqrt{3} }{2} [/tex]

Step-by-step explanation:

The first triangle is an isoceles right triangle, so the length of the hypotenuse is √2 times the length of each leg. So we have:

[tex]a \sqrt{2} = 5[/tex]

[tex]a = \frac{5}{ \sqrt{2} } = \frac{5 \sqrt{2} }{2} [/tex]

The second right triangle is a 30°-60°-90° triangle, so the length of the shorter leg is one-half the length of the hypotenuse, and the length of the longer leg is √3 times the length of the shorter leg. Here, the length of the shorter leg is 3/2, or 1.5, and so we have:

[tex] {( \frac{3}{2}) }^{2} + {c}^{2} = {3}^{2} [/tex]

[tex] {c}^{2} = \frac{27}{4} [/tex]

[tex]c = \frac{3 \sqrt{3} }{2} [/tex]

Nominal measurement is used primarily to:
a. rank order data.
b. both "name or categorize data" and "rank order data" are correct.
c. none of these answers is correct.
d. name or categorize data.

Answers

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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Can someone help me answer the second one

Answers

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,

first find w(x2)substitute this value for x in u(x)


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]



how to convert 20cm to in?

Answers

20 centimeter is approximately equal to 7.8740 inches ( rounded to four decimal places )

To convert 20 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in centimeter

Substitute the values in the equation

20 cm = 20 x 0.393701

Multiply the numbers

= 7.8740 inches ( rounded to four decimal places )

Therefore, 20 centimeter is 7.8740 inches

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what is 10mm to inch?

Answers

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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Solve the system of differential equations using eigenvectors
also find the eigenvalues and eigenvectors (they are all real) of the coefficient matrix and write the general solution
x'(t) = 3x(t) + y(t)
y'(t) = x(t) + 3y(t)

Answers

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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Find the volume of the complex figure below.

Answers

The volume of the rectangular prism in the image is 480 cubic units.

What is volume ?

Volume is a measurement of the amount of space occupied by a three-dimensional object. It is a physical quantity that is measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

The image shows a rectangular prism with a length of 12 units, a width of 8 units, and a height of 5 units.

To find the volume of a rectangular prism, you need to multiply its length, width, and height.

So, the volume of the rectangular prism in the image is:

Volume = length x width x height

Volume = 12 units x 8 units x 5 units

Volume = 480 cubic units

Therefore, the volume of the rectangular prism in the image is 480 cubic units.

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what is -22 x -5 someone please helpppp

Answers

Answer:

110

Step-by-step explanation:

On a world map, the distance between 2 cities is 7 inches. The scale on the map states that
every 500 miles is represented by each half-inch.
How many miles apart are the 2 cities?

Answers

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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Working out must be seen clearly and correctly

Answers

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

How to find the number 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:

48 children 49 children 52 children 53 children 56 children

The number of days is therefore 5 days.

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randomization in an experiment is important because it ensures that

Answers

Randomization ensures that each patient has an equal chance of receiving any of the treatments under study, generate comparable intervention groups, which are alike in all the important aspects except for the intervention each groups receives.

so.. the answer is “ Randomization ensures that each patient has an equal chance of receiving any of the treatments under study, generate comparable intervention groups! “

hope this helps!!!


If you have 2 moles of marbles how many marbles do you have

Answers

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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how to convert microliter to ml

Answers

Answer:

1 Microliter = 0.001 Milliliter

Step-by-step explanation:

What are units?

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

Converting these units:

1 Microliter = 0.001 Milliliter1 Milliliter = 1,000 Microliter

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

set up but do not evaluate the integral for the mass of a thin wire in the shape of a parabola density x^2 y^2

Answers

The integral for the mass of a thin wire in the shape of a parabola density is [tex]\int[-1,1]\int[0,x^2] x^2 y^2 dy dx[/tex]

To find the mass of the thin wire in the shape of a parabola with density function ρ(x, y) = [tex]x^2 y^2[/tex],

we can set up a double integral over the region that describes the parabola. The mass M is given by the following integral:

M = ∬ρ(x,y) dA

where dA represents the area element in the xy-plane. To set up this integral, we need to first determine the limits of integration for x and y.

The parabola can be described by the equation y =[tex]x^2[/tex], where x ranges from -1 to 1. Therefore, the limits of integration for x are -1 to 1.

For each value of x, the y-values range from the parabola to the x-axis, which is the region between y = 0 and y = [tex]x^2[/tex]. Therefore, the limits of integration for y are 0 to[tex]x^2[/tex].

Using these limits of integration, the integral for the mass of the thin wire is:

M = ∫∫ρ(x,y) dA

=[tex]\int[-1,1]\int[0,x^2] x^2 y^2 dy dx[/tex]

This integral can be evaluated using standard integration techniques.

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how many sundays in a year

Answers

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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What is the conversion of 350 ml to oz ?

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

Milliliters and ounce are the units which help us measure the volume of the things.

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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Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is either in the circle or in the trapezoid.

Answers

Answer:

0.06

Step-by-step explanation:

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle either is in the hexagon or in the circle

Area of rectangle = 26.2 * 13 =  340.6 sq inch

Area of Hexagon  = 3√3(side)²/2 = 3√3 (1.8)²/2 = 8.42 sq inch

Area of circle = π(radius)² = 3.14 * (2)² = 12.56 sq inch

Area of hexagon + area of circle = 12.56 + 8.42 = 20.98 sq inch

Probability of selecting point inside the hexagon or in the circle  = 20.98/340.6

= 0.06

After a discount, the marked price of an article is 48$. Calculate the original price if a 20% discount was given

Answers

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

What is discount?

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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You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $60 per hour. Great Sounds Studio rents for $25 plus $80 per hour. Determine the number of hours for which the cost of 1 Step renting the studios is the same. Work needs to be showed btw

Answers

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.

Rob put some money in an investment account. He uses the function V(t)=480(1.065)t to model the total value of the account, in dollars, after t years. What does the number 480 represent?

Answers

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

What is a function?

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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