what are odds of winning mega millions

The volume of the solid here which is enclosed by paraboloids is 81π.

Use cylindrical coordinates.

z = x² + y² ==> z = r²

z = 18 - (x² + y²) ==> z = 18 - r².

Curve of intersection:

r² = 18 - r² ==> r = 3, a circle.

So, the volume ∫∫∫ 1 dV equals

∫(θ = 0 to 2π) ∫(r = 0 to 3) ∫(z = r² to 18 - r²) 1 * (r dz dr dθ)

= 2π ∫(r = 0 to 3) rz {for z = r² to 18 - r²} dr

= 2π ∫(r = 0 to 3) r(18 - 2r²) dr

= π ∫(r = 0 to 3) (36r - 4r³) dr

= π(18r² - r⁴) {for r = 0 to 3}

= 81π.

The intersecting curves that are transversally intersecting make up an intersection curve in most cases, which means that the surface normals are never parallel at any common point. This limitation does not apply in situations when the surfaces touch or share surface elements. The intersections of two revolution cylinders form the bicylindrical curves.

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Using the laws of exponents, we can rewrite the expression as:

b^4 * b^(-1/4) = b^(4 - 1/4) Simplifying the exponent, we get:

b^(15/4). Therefore, the expression in the form bn is b^(15/4).

To rewrite the expression b^4 * b^(-1/4) in the form bn, we need to apply the laws of exponents. The law of exponents states that when multiplying two powers with the same base, we can add the exponents. In this case, we have b^4 multiplied by b^(-1/4), which means that we have the same base b. Using the law of exponents, we add the exponents 4 and -1/4 to get 4 - 1/4 = 15/4. Thus, we have simplified the expression b^4 * b^(-1/4) to b^(15/4). This is in the form of bn, where b is the base and n is the exponent. Therefore, the expression b^4 * b^(-1/4) is equivalent to b^(15/4).

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93 centimeter is approximately equal to 36.6142 inches ( rounded to four decimal places )

To convert 93 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

93 cm = 93 x 0.393701

Multiply the numbers

= 36.6142 inches ( rounded to four decimal places )

Therefore, 93 centimeter is 36.6142 inches

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The rounded off form of the number 836534 into 2 Significantly digits as required is; 840000.

It follows from the task content that the number 836534 is to be rounded into 2 significant digits as required.

On this note, since the given number is; 836534.

The 2 greatest place value digits are 8 and 3. Hence, the third digit is considered to round the number off.

Since the third digit is 6, it is rounded to 1 and added to 3 so that the rounded off form of the given number to 2 SD is; 840000.

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Rounding off 836534 into 2 significant fiqure will give us  840000.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Round up if the number you're rounding has a 5, 6, 7, 8, or 9. For instance, 30 is equal to 28, rounded to the nearest tens place. Round down if the number you are rounding has a 0, 1, 2, 3, or 4 after it. For instance, 10 is the result of rounding 13 to the nearest ten.

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The expression 1 + 3² can be evaluated as follows:

First, we calculate 3², which is equal to 9.

Then, we add 1 to 9, which gives us 10.

Therefore, 1 + 3² = 10.

Answer:

Step-by-step explanation:

1 +[tex]3^{2}[/tex]

= 1 + (3*3)

= 1 + 9

= 10

Slice a cylinder so that the cross section is parallel to the bases. The cross section is rectangular in form.

A cylinder's cross-section, for instance, is a circle when it is cut parallel to the base. The cross-sectional area of this slice is therefore equal to the area of a circle whose radius is the same as the radius of the cylinder supplied.

The cross-section has a rectangular form. It is identical in size and form to the base. We will now cut it with a plane that is parallel to the base. Keep in mind that perpendicular lines cross the base at  ninety degrees.

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The expression 350 ml is equivalent to approximately 11.83 fluid ounces (fl oz).

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

350 ml = x oz

To convert milliliters to fluid ounces

We can use the conversion factor of 1 milliliter = 0.033814 fluid ounces.

So, to convert 350 ml to fluid ounces, we can multiply 350 by 0.033814, which gives us:

350 ml x 0.033814 fl oz/ml = 11.83 fl

So, 350 ml is approximately equal to 11.83 fluid ounces.

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The procedure to obtain the equation of the graphed line is presented in this answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The standard definition of a linear function is given as follows:

mx - y = -b.

To obtain the intercept b, you must observe the value of y when x = 0, which is the value of y when the graph of the function touches the y-axis.

To obtain the slope, you must take two points, and then calculate the rate of change between the two points.

Suppose that the points are (a,b) and (c,d), then the slope is given as follows:

m = (d - b)/(c - a).

In case the slope is fractional, you should multiply the entire equation by the denominator of the fraction all the coefficients of the standard form of the equation are integers.

The problem is incomplete, hence the general procedure to obtain the equation of the line is presented.

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the answer is somewhere here

Answer:

Step-by-step explanation:

10^3 is equal to 1,000.

To fill in the blanks with two numbers that multiply to 1,000, we need to factorize 1,000. One way to do this is to divide by 2 repeatedly until we get an odd number:

1,000 ÷ 2 = 500

500 ÷ 2 = 250

250 ÷ 2 = 125

So the prime factorization of 1,000 is:

1,000 = 2^3 × 5^3

Therefore, we can fill in the blanks as follows:

10^3 = 2^3 × 5^3

Answer:

392ft²

Step-by-step explanation:

We need to find out the area of the side walk .The area of the sidewalk will the difference of the areas of rectangles ABCD and EFGH .

The dimensions of rectangle EFGH is 35ft * 14ft

So it's area would be ,

A = l*b

A = 14ft * 35ft

A = 490ft²

Now the length of the rectangle EFGH will be,

l = 35ft + 2*3.5ft

l = 35ft + 7ft

l = 42ft

Again,its breadth will be,

b = 14ft + 2*3.5ft

b = 14ft + 7ft

b = 21ft

So it's area would be,

A = l * b

A = 42ft * 21ft

A = 882ft²

Therefore the area of the sidewalk will be,

ar(sidewalk) = ar(ABCD) - ar(EFGH)

ar(sidewalk) = 882ft² - 490ft2

ar(sidewalk) = 392ft²

and we are done!

Georges sunflower grew the most.

How to compare two decimal numbers ?

Given :

Georges sunflower grew : 2.218 inches

Brians grew : 2.21 inches

Since , two decimal number is compared using Compare the digits starting with the greatest place value and If the digits are the same, compare the digits in the next place value to the right. Keep comparing digits with the same place value until you find digits that are different.

Therefore , we can see that

2.218 inches > 2.21 inches

Hence , georges sunflower grew the most.

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Sergio observes thickening and discoloration of the nail of the Index finger. His doctor diagnosed Sergio with a nail infection. Sergio is most likely suffering from a fungal infection.

Fungal infections are also called as mycosis. They are usually caused by different species of fungi.Fungal infections that cause thickening and discoloration of nails, a condition known as onychomycosis.

Onychomycosis is a fungal infection of the nail. It is a common condition that affects both fingernails and toenails. The infection typically starts at the tip of the nail and then spreads towards the base. Fungal infections of the nail can cause the nail to thicken, become brittle and discolored, and can also cause separation of the nail from the nail bed.

Fungal infections of the nail are typically caused by dermatophytes, but other types of fungi can also be responsible. The diagnosis includes laboratory tests, and treatment may include antifungal medication.Therefore, the correct word is fungal.

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The question is incomplete, but most probably the complete question is,

Type the correct answer in the box. Spell all words correctly.

Fill in the box with one of the following words: bacterial, fungal, parasitic, protozoan, viral.

Sergio observes thickening and discoloration of the nail of the Index finger. His doctor diagnosed Sergio with a nail infection. Sergio is most likely suffering from a/an _______ infection.

The converted value of the units 3000 meters to the required miles is given by 1. 8641 miles ( round up to four decimal places ) .

Standard form to Convert meters and miles is equal to :

1 meter = 0.000621371 miles

Now,  the value of 3000 meters in miles we get by multiplying it by 0.000621371 we get,

3000 meters = ( 3000 ) × ( 0.000621371 ) miles

                      = ( 1.864113 ) miles

                      = ( 1.8641 ) miles ( round up to four decimals places )

Therefore, the value of 3000 meters to miles is equal to ( 1.8641 ) miles ( round up to four decimals places ) .

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Anser 15

Step-by-step explanation:

Answer: commensalism

Step-by-step explanation:

Melody and her mother aren't hurting each other but also aren't of the same benefit

The relationship that Melody has with her mother is that They have a close bond, but not much mutual understanding.

A story is a fiction or a non fiction narrative which tells us about a series of events or verse, which is narrated in such a way that it takes the interest of the reader.

Most of the fictions convey a certain moral or idea that should be taken in to our life.

Given is a story of a little girl Melody and her mother.

We can clearly seen from the story that, Melody is five year old.

She has a pet named Ollie, which is a fish.

When the fish come out of the bowl by itself, Melody was scared and screamed for help.

But non one heard.

So as a method to rescue Ollie, she put the bowl upside down to save it.

When mother sees it, she misunderstood the situation.

So the relationship between Melody and mother is close bond, but not much mutual understanding.

Hence the correct answer is option D.

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El par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.

El par ordenado que formaría una relación proporcional con el punto que se muestra a continuación es (90, 60). Para encontrar una relación proporcional en un plano coordenado, debemos encontrar dos puntos que tengan la misma pendiente.

La pendiente de una línea se calcula utilizando la fórmula (y2 - y1) / (x2 - x1).

Usando los puntos dados (0, 0) y (45, 30), podemos calcular la pendiente de la línea:

Pendiente = (30 - 0) / (45 - 0)

= 30 / 45

= 2 / 3

Ahora, podemos calcular la pendiente de cada uno de los pares ordenados dados y compararlos con la pendiente de la línea:

(10, 10):

Pendiente = (10 - 0) / (10 - 0)

= 10 / 10

= 1 (no es proporcional)

(25, 35):

Pendiente = (35 - 0) / (25 - 0)

= 35 / 25 = 7 / 5 (no es proporcional)

(70, 50):

Pendiente = (50 - 0) / (70 - 0)

= 50 / 70 = 5 / 7 (no es proporcional)

(90, 60):

Pendiente = (60 - 0) / (90 - 0)

= 60 / 90 = 2 / 3 (es proporcional)

Por lo tanto, el par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.

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Answer:

John went grocery shopping over the weekend and used algebra to find the best deals. He compared the unit price of similar products to determine which one was the most cost-effective. Later that day, John practiced basketball with his friends, and he used algebra to track his progress. He calculated his shooting percentage by dividing the number of shots he made by the total number of shots he attempted, giving him insight into how he was improving over time. Finally, John cooked dinner and used algebra to adjust the recipe. He needed to make a meal for eight people, but the recipe was only for four, so he had to double the quantities of ingredients while keeping the ratios the same. By using algebra, he was able to create a delicious meal that was the right size for his gathering.

The constant acceleration equations are:

The position equation: x = x0 + v0t + 1/2at^2

The velocity equation: v = v0 + at

The acceleration equation: a = (v - v0)/t

Constant acceleration equations describe the motion of an object that is experiencing a constant acceleration. When an object experiences a constant acceleration, its velocity changes by the same amount in equal time intervals. The equations that describe this motion are as follows:

The position equation: x = x0 + v0t + 1/2at^2

where x is the position of the object at time t, x0 is the initial position of the object, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The velocity equation: v = v0 + at

where v is the velocity of the object at time t, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The acceleration equation: a = (v - v0)/t

where a is the constant acceleration of the object, v is the velocity of the object at time t, v0 is the initial velocity of the object, and t is the time elapsed.

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The cross section of a cylinder is a circle. This is because a cylinder is formed by two circular bases connected by a curved surface. When the cylinder is sliced perpendicularly to its bases, the cross section will be a circle.

To prove this mathematically, let us consider a cylinder with radius r and height h. The volume of the cylinder is V = πr²h. If the cylinder is sliced perpendicularly to its bases, its cross section can be considered as a circle with radius r. The area of the circle is A = πr². Since the volume of the cylinder is equal to the area of the cross section multiplied by the height, we can say that V = A * h. This implies that A = V/h. Since we already know that V = πr²h, we can substitute the value of V in the above equation to get A = πr²h/h. Cancelling both h from the equation, we get A = πr². This means that the area of the cross section of the cylinder is equal to the area of a circle with radius r. Therefore, the shape of the cross section of the cylinder is a circle. Hence, the shape of the cross section of a cylinder is a circle.

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Answer:

Step-by-step explanation:

First, we split the triangles into two

Δ ADC and ΔAEB

Then we look for similar things

First, both triangles have ∠A which makes the angles equal

Then we can see that side BE is // to line CD

That makes ∠D =∠E and ∠B = ∠C

Now we can have a ratio of the sides

AE/AD = AB/AC = EB/DC

AB/AC = AE/AD

12/12 + x = 16/24

Cross multiply

12 × 3 = 2 (12 + x)

36 = 24 + 2x

36 - 24 = 2x

12 = 2x

x = 6

BC = 6cm

Cody's profit from selling 9 scarves at $25 each, after spending $34 on materials and paying a $10 fee to sell at the craft fair, was $181.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

To calculate Cody's profit using the expression np - (m + 10), we need to substitute the given values:

n = 9 (number of scarves sold)

p = $25 (price per scarf)

m = $34 (amount spent on materials)

Using these values, we can calculate Cody's profit as:

= np - (m + 10)

= (9 * 25) - (34 + 10)

= 225 - 44

= $181

Therefore, Cody's profit from selling 9 scarves at $25 each and spending $34 on materials is $181.

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One foot is equal to 12 inches. Therefore, to convert feet to inches, you need to multiply the number of feet by 12.

So, the value of 66.9 feet is equal to 802.8 inches.

Feet is measure from the back of your heel to the tip of your longest toe on the floor using a ruler or tape measure.

Inch is the British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). One inch is  equal to 1/36 of a yard.

Here we want to convert  66.9 feet in inches.

To convert feet to inches, you can multiply the number of feet by 12.

So to convert 66.9 feet to inches:

66.9 feet x 12 inches/foot

= 802.8 inches

Therefore, 66.9 feet is equal to 802.8 inches.

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The answer is: A. tan P= 3/4, tan Q=5/4

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratio of the lengths of its sides. There are three primary trigonometric ratios, known as sine, cosine, and tangent, and their reciprocal functions, known as cosecant, secant, and cotangent.

The primary trigonometric ratios are defined as follows:

Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle.

sin θ = opposite/hypotenuse

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle.

cos θ = adjacent/hypotenuse

Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

tan θ = opposite/adjacent

The reciprocal trigonometric ratios are defined as follows:

Cosecant (csc): The cosecant of an angle is the reciprocal of the sine of the angle.

csc θ = 1/sin θ

Secant (sec): The secant of an angle is the reciprocal of the cosine of the angle.

sec θ = 1/cos θ

Cotangent (cot): The cotangent of an angle is the reciprocal of the tangent of the angle.

cot θ = 1/tan θ

Trigonometric ratios are widely used in mathematics, science, and engineering to solve problems involving right triangles, as well as to model and analyze periodic phenomena such as sound waves, light waves, and electromagnetic waves.

Since angle R is a right angle, we can use the tangent ratio for angles P and Q as follows:

tan P = RP / RQ = 12 / 16 = 3 / 4

tan Q = PQ / RQ = 20 / 16 = 5 / 4

Therefore, the answer is: A. tan P= 3/4, tan Q=5/4

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Answer:

12,370.34 square yards

Step-by-step explanation:

The shaded area between the two circles is known as an annulus.

This can be computed by the formula
A₂ - A₁

where
A₁ = area of the inner (smaller circle)
A₂ = area of the outer (larger circle)

We also have
A₁  = π · r₁²
A₂ = π · r₂²

where
r₁ = radius of inner circle
r₂ = radius of outer circle

So

Area of shaded region (area of annulus)
= π · r₂² - π · r₁²
= π (r₂² - r₁²)

We are given r₁ = 25.9 yds

Outer circle has a radius r₂  = inner circle radius + annulus width
r₂ = 25.9 + 42
r₂ = 67.9 yds

Area of the shaded region
= π (67.9² - 25.9²)

= π (4,610.41 - 670.81)

= π  x 3,939.6

=  12,370.344  square yards (using π = 3.14)
=  12,370.34 square yards (rounded to nearest hundredth)

The value of the variable x in the trapezium is 6 .

The diagram above is a trapezium. The mid segment of the trapezium is EF. The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.

Therefore, using the mid segment rule,

EF = 1 / 2 (AB + CD)

EF = 4x - 1

AB = 3x

CD = x² - x - 2

Therefore,

4x - 1 = 1 / 2(3x + x² - x - 2)

4x - 1 = 1 / 2 (x² + 2x - 2)

8x - 2 = x² + 2x - 2

x² + 2x - 8x  = 0

x² - 6x = 0

x² = 6x

x = 6

Therefore,

x = 6

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Three possible lengths for the chameleon when its tongue is extended are 25 inches, 30 inches and 32 inches

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

Length = 23 3/4 inches

Extension = 35 1/4 inches

Using the above as a guide, we have the following:

The possible lengths are between 23 3/4 inches and 35 1/4 inches

Examples of lengths within this range are

25 inches, 30 inches and 32 inches

Hence, the possible lengths are 25 inches, 30 inches and 32 inches

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The values of the function g⁻¹(2) is  {(12, 0), (14, -4), (-4, -14), (-18, 18)}, h⁻¹(x) is  11x / (x + 14) and (h o h⁻¹)(2) is 235 / 176

In mathematics, a function is a relation between a set of inputs, called the domain, and a set of outputs, called the range, such that each input is associated with exactly one output.

More formally, a function f from a set A to a set B is a rule or correspondence that assigns to each element x in the set A exactly one element y in the set B. The set A is called the domain of the function, and the set B is called the range or codomain. The output y is called the image of x under the function f, and is often denoted as f(x).

From the question;

g = {(0, 6), (2, -7), (7, 2), (9, -9)}

h(x) = (x + 14) / 11

g⁻¹(2) = {(12, 0), (14, -4), (-4, -14), (-18, 18)}

h⁻¹(x) = 11x / (x + 14)

(h o h⁻¹)(2) = 235 / 176

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A option (c) marginal distribution summarizes the information from one variable ONLY, without considering ANY information from another variable.

A distribution is a mathematical function that shows the likelihood of different values occurring for a given variable.

Now, a marginal distribution summarizes the information from one variable ONLY, without considering ANY information from another variable. It shows the probability of each value occurring for that variable.

In mathematical terms, we can represent a marginal distribution as follows:

P(X = x) = ∑P(X = x, Y = y) for all possible values of y

Here, X is the variable we're interested in, and Y is the other variable that we're not considering. P(X = x) is the probability of X taking on the value x, and P(X = x, Y = y) is the joint probability of X taking on the value x and Y taking on the value y. The summation is taken over all possible values of y.

Therefore, option (c) is correct.

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As per the conversion factor, 33 inches is equivalent to 2.75 feet.

When we want to convert one unit to another, we use conversion factors to do so. A conversion factor is a ratio that represents the relationship between two units of measurement. In this case, we want to convert inches to feet.

To convert inches to feet, we need to use the conversion factor of 1 foot equals 12 inches. This means that for every 12 inches, we have 1 foot. To convert 33 inches to feet, we divide 33 by 12.

33 inches ÷ 12 inches/foot = 2.75 feet

To summarize, we used the conversion factor of 1 foot equals 12 inches to convert 33 inches to feet. We divided 33 by 12 to get the equivalent value in feet, which is 2.75. Always remember to use the appropriate conversion factor when converting units to avoid mistakes.

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The greatest percent change occurred in the first five-year period, between the first and second year, with a percent change of 60%.

Percentage is a number or ratio expressed as a fraction of 100.

We can calculate the percent change between two values using the following formula:

percent change = (new value - old value) / old value x 100%

To compare the percent change over a five-year period, we need to consider the percent change between each pair of values, as follows:

Percent change between the first and second year:

percent change = (320 - 200) / 200 x 100% = 60%

Percent change between the second and third year:

percent change = (400 - 320) / 320 x 100% = 25%

Therefore, the greatest percent change occurred in the first five-year period, between the first and second year, with a percent change of 60%.

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