What is greater 0. 023 or 0. 3.

Answer:

ok so

Step-by-step explanation:

add them alll up which is 33. then do 33 divided by 10 because thats how many numbers there are and mean is adding all the numbers up and dividing them so 3.3  degrees celsius

The average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

The average value of a function f over a rectangle R is given by:

avg(f) = (1/Area(R)) * double integral of f over R

Here, f(x,y) = 5e^(yx) + e^y and R = [0,6] x [0,1]

The area of R is given by:

Area(R) = (6 - 0) * (1 - 0) = 6

So, the average value of f over R is:

avg(f) = (1/6) * double integral of f over R

We can evaluate the double integral using iterated integration. First, we integrate f with respect to y from 0 to 1, and then integrate the result with respect to x from 0 to 6:

integral of f(x,y) dy = integral of (5e^(yx) + e^y) dy

= (5x/2)e^(yx) + e^y + C

where C is the constant of integration.

Now, we integrate this result with respect to x from 0 to 6:

integral of [(5x/2)e^(yx) + e^y] dx = [(5/2) * integral of xe^(yx) dx] + integral of e^y dx

= [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1)] + ey + C

where C is another constant of integration.

Therefore, the average value of f over R is:

avg(f) = (1/6) * [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1) + ey] evaluated from y=0 to y=1 and x=0 to x=6

avg(f) = (1/6) * [(5/2) * (1/e^6 - 1) - (5/2)(1/e - 1/e^6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6) - (5/2)(e^-1 - e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6 - e^-1 + e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-1) + e - 1]

avg(f) ≈ 3.427

Therefore, the average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

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If a fair die with numbers 1 through 6 on the sides is rolled , then the probability that

(a) the sum is greater  than 9 is 1/6  ,

(b) the sum is not divisible by 5or 6 (or both) is 1/3  .

An ordinary die has numbers mentioned from 1 to 6 represented by painted dots  ,

if the face values of the two rolls are added together ,

the sample space for the rolling of two die is { (1,1) (2,1) (3,1) , (4,1) , (5,1) , (6,1) , (1,2) , (2,2) , (3,2) (4,2) , (5,2) , (6,2) , (1,3) , (2,3) , (3,3) , (4,3) , (5,3) (6,3) , (1,4) (2,4) , (3,4) (4,4) , (5,4) (6,4) , (1,5) , (2,5) , (3,6) , (4,6) , (3,5) (4,5) , (5,5) , (6,5) , (1,6) , (2,6) , (5,6) , (6,6) } .

the total outcomes for rolling two die is = 36 .

Part(a) ,

it is given , that Event A: The sum greater than 9

the outcome in which the sum is greater then 9 are (6,4) , (5,5) , (6,5) , (4,6) , (5,6) , (6,6) .

the number of outcomes in which the sum is greater then 9 is = 6 .

the probability that the sum is greater than 9 is = 6/36

= 1/6 .

Part(b) ,

it is given that , Event B: The sum is not divisible by 5or 6 (or both)

the outcome in which the sum is not divisible by 5or 6 (or both) are : (5,1) , (3,2) , (4,2) , (2,3) , (3,3) , (1,4) , (2,4) , (6,4) , (1,5) , (5,5) , (4,6) , (6,6) .

the number of outcomes in which sum is not divisible by 5or 6 (or both)

= 12/36

= 1/3 .

Therefore , the probability of Event A is 1/6 , and probability of Event B is 1/3 .

The given question is incomplete , the complete question is

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.

Compute the probability of each of the following events :

(a) Event A: The sum is greater than 9

(b) Event B: The sum is not divisible by 5or 6 (or both)

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Answer:

3x - y/2

Step-by-step explanation:

The required expression will be 2/x+15 as the problem says "the sum of 2 divided by x and 15".

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

2 divided by x,

=2/x

sum of 2/x and 15,

2/x+15

The conclusion is "the sum of 2 divided by x and 15," hence the necessary equation will be "2/x+15."

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The Electric field charge density (G) is 4.10 × 10^5 V/m.

To obtain the answer for Electric field charge density (G), use the formula below:

                                      E = σ/2πϵ₀d

        Where:E is electric fieldσ is the surface charge density d is the perpendicular distance between the point and the surface.ϵ₀ is the permittivity of free space.

In most textbooks, it is taken as 8.85 × 10^-12 C² N^-1 m^-2.

σ is a scalar quantity and has units of C/m². G is a scalar quantity and has units of V/m.

A scalar quantity is defined as a physical quantity with magnitude only and no direction.

To obtain the answer for Electric field charge density (G), use the formula below:

                              E = σ/2πϵ₀d

Now let's assume that the value of σ is 15 µC/m² and the value of d is 7 cm which is 0.07 m.

And the value of ϵ₀ is 8.85 × 10^-12 C² N^-1 m^-2.

Therefore, Electric field charge density (G) will be given as follows:G = Eσ=σ/2πϵ₀dG = (15 × 10^-6 C/m²)/(2π × 8.85 × 10^-12 C² N^-1 m^-2 × 0.07 m)G = 4.10 × 10^5 V/m

Therefore, the Electric field charge density (G) is 4.10 × 10^5 V/m.

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A right triangle can be drawn with an inscribed circle that is tangent to all three sides of the triangle. The circle's center is equidistant from the sides, and its radius is perpendicular to each side at the points of tangency. The circle is completely contained within the right triangle, and the angles formed at the points of tangency are right angles.

Start by drawing a right triangle with one angle measuring 90 degrees (a right angle). Let's call the two legs of the right triangle "a" and "b," and the hypotenuse "c." Place the right angle at the bottom left corner of the triangle.

Next, draw a circle inside the right triangle. The circle should be tangent to all three sides of the triangle, meaning it touches each side at exactly one point. The point where the circle touches the hypotenuse (side "c") will be the midpoint of the hypotenuse.

The circle's center will be located inside the right triangle. The center is equidistant from all three sides of the triangle, meaning the distances from the center to each side are equal. The radius of the inscribed circle is perpendicular to each side of the triangle at the points of tangency.

The inscribed circle will be completely contained within the right triangle, with no part extending beyond its boundaries. The circle and the right triangle will share some common properties, such as the angles formed at the points of tangency being right angles.

In summary, a right triangle can be drawn with an inscribed circle that is tangent to all three sides of the triangle. The circle's center is equidistant from the sides, and its radius is perpendicular to each side at the points of tangency. The circle is completely contained within the right triangle, and the angles formed at the points of tangency are right angles.

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Answer:

B) he meditated

Step-by-step explanation:

according to BBC

One day, seated beneath the Bodhi tree (the tree of awakening) Siddhartha became deeply absorbed in meditation, and reflected on his experience of life, determined to penetrate its truth.

He finally achieved Enlightenment and became the Buddha. The Mahabodhi Temple at the site of Buddha's enlightenment, is now a pilgrimage 

Answer:

3m + 9

Step-by-step explanation:

Answer:

x and y both equal 24

Answer: Option d.  0.26

Step-by-step explanation:

Since the addition of complementary angles = 90°

75° + x = 90°

x = 90° - 75 °

x = 15°  ( the complementary angle )

sine 15° = 0.25882

             = 0.26 correct to two decimal places

Answer:

1.22

Step-by-step explanation:

divide 8.54 by 7 to get one serving

After 9 years with monthly compounding and no payments, Dan will owe approximately $13,189.6

Using the formula for compound interest:

A = \(P(1 + \frac{r}{n} )^{nt}\)

Where:

A = the future amount (the amount Dan will owe after 9 years)

P = the principal amount (the initial borrowed amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Given:

P = $8000

r = 18% = 0.18 (as a decimal)

n = 12 (monthly compounding)

t = 9 years

substitute the values into the formula:

A = \(8000(1 + \frac{0.18}{12} )^{12*9}\)

A = \(8000(1 + 0.015)^{108}\)

 = \(8000(1.015)^{108}\)

 = 8000(1.6487)

A = $13,189.6

Therefore, after 9 years with monthly compounding and no payments, Dan will owe approximately $13,189.6.

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The equation of parabola is f ( x ) = -2 ( x + 5 )² - 3 and the vertex of the parabola is ( -5 , -3 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of parabola be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -2x² - 20x - 53   be equation (1)

On simplifying the equation , we get

A = -2x² - 20x - 50 - 3

Taking the common factor in the equation , we get

A = -2 ( x² + 10x + 25 ) - 3

On factorizing the equation , we get

A = -2 ( x + 5 )² - 3

So , the the equation of parabola is of the form y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Therefore , the vertex of the parabola is ( -5 , -3 )

Hence , the equation of parabola is A = -2 ( x + 5 )² - 3

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Answer:

Step-by-step explanation:

Let d be the diameter of the wheel.

Circumference = πd

(35.325 m)/(25 revolutions) = (1.413 m)/revolution

πd = 1.413

d = 1.413/π = 0.45 m

The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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Answer:

Step-by-step explanation:

Since, PN ≅ NR

RM ≅ MQ

PL ≅ LQ

QN, LR and PM are the medians and they intersect each other at point K which will be the centroid of ΔPQR.

By the property of centroid,

Point K will divide the medians in the ratio of 2 : 1

By this property,

PK : KM = 2 : 1

4 : KM = 2 : 1

\(\frac{4}{KM}=\frac{2}{1}\)

KM = 2

KQ = \(\frac{2}{(2+1)}(NQ)\)

     = \(\frac{2}{3}\times 6\)

KQ = 4

LK : RK = 1 : 2

LK : 3 = 1 : 2

\(\frac{LK}{3}=\frac{1}{2}\)

LK = 1.5

LR = LK + RK

     = 1.5 + 3

LR = 4.5

NK = \(\frac{1}{(2+1)}(QN)\)

     = \(\frac{1}{3}(6)\)

NK = 6

PM = PK + KM

PM = 4 + 2

PM = 6

Answer:

-4409/100

bcoz there is decimal next to 2 numbers

A child is given an allowance of $1.25 per day for chores. The parent says they will increase the allowance by 75 cents per day after a month. So, The child receives a 60% increase in their daily allowance.

To find the percent increase in the child's allowance, follow these steps:

1. Determine the initial allowance amount: $1.25 per day
2. Determine the new allowance amount after the increase: $1.25 + $0.75 = $2.00 per day
3. Calculate the difference between the new and initial allowance amounts: $2.00 - $1.25 = $0.75
4. Divide the difference by the initial allowance amount to find the decimal value of the percent increase: $0.75 / $1.25 = 0.6
5. Convert the decimal value to a percentage: 0.6 x 100 = 60%

The child receives a 60% increase in their daily allowance.

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Step-by-step explanation:

translations up or down are the easiest transformations.

it just means we can leave everything unchanged and just add (up) or subtract (down) a certain constant from the original function expression.

because we calculate everything as we did with the original function, and then simply add or subtract from every functional result value the translation constant.

g(x) = f(x) - 2 = (|4x + 3| + 2) - 2 = |4x + 3|

Answer:

g(x) = f(x) - 2

Step-by-step explanation:

Translating the graph of f 2 units down ,

(algebraically) has as consequence:

The equation of the image graph is equal to  f(x) - 2

Therefore,

g(x) = f(x) - 2  

It should be noted that the scientist could use the data to estimate the proportion of fish affected by copper toxicity in the entire population along this portion of the river by dividing the number of fishes affected by the fishes collected

Let the number of fish collected in sample be represented as N.

Let the number of fish affected in it be represented by X.

Therefore, the proportion will be;

= X/N

Therefore, this can be used by the scientist to estimate the proportion of fish affected by copper toxicity in the entire population.

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Answer:

2

Step-by-step explanation:

Answer:

She is incorrect

Step-by-step explanation:

Pythagorean theorem:

16^2+8^2

256+64=320

320 is 17.89

8^2+8^2

64+64=128

√128 is 11.31

Ada is incorrect. The length of diagonal SQ is bigger than the length of diagonal OM. But it is not two times bigger.

Answer:

Ada is incorrect.

Step-by-step explanation:

the length of diagonal SQ is 17.89 in, and the length of diagonal OM is 11.31 in. SQ would need to be 22.62 inches long in order to be twice as long as OM.

Answer: C. 7x^2+4x-5

Step-by-step explanation:

Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.

Answer:

x = 23

Step-by-step explanation:

the angles in a triangle add up to 180

the square means 90

90 + 67 + x = 180

157 + x = 180

157 - 157 + x = 180 - 157

x = 180 - 157

x = 23

Answer:

^ means to the power of

1. 6x

2. 4x^3 - 2x^2 + 12x

3. -14x^4 should be -16^4

4. -5^2 + 2x

5. -15x^3 + 6x^2 + 18x

6. -5x^5 + 10x^4 - 5x^3

7. 8x^2 + 16x

8. -10x^6 + 40x^5 - 30^5

9. correct

10 5y^3 - 15y^2 +5y

11. -3x^3 + 4x^2

12. 7x^4 -7x^3

Answer: 62480

Step-by-step explanation

you write down 67000 than subtract 4520 ,scrach the seven and make it a six and ad that 1 to the first zero scranche that out and make it nine add it to the next zero now ,0-0=0 , 10-2=8 ,9-5=4,4-6=2, move the 6 down you now have 62480 mph

Answer:

g=108

Step-by-step explanation:

153 = g + 45

g+45=153

1g+45-45=153-45

1g=108

1g÷1=108÷1

g=108

Answer:

I think it's 7.5 correct me if i'm wrong

Step-by-step explanation:

7.5 is half of 15

Use the midsegement theorem