What are your chances of winning a raffle in which 325 tickets have been sold, if you haveone ticket?

Answer:

49

Step-by-step explanation:

First you must do x times 6, x is really just 1. After you do that, you times it by 7.

Answer:

7x + 42.

Step-by-step explanation:

Just distribute (multiply) both x and 6 by 7.

7 x X is 7x.

7 x 6 is 42.

Thus, your answer is 7x + 42.

Hope this helps!

Answer:

The probability of not spinning a 3 is \(\frac{8}{9}\)

Step-by-step explanation:

The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?

Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So

\(\frac{1}{9} + p = 1\)

\(p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}\)

The probability of not spinning a 3 is \(\frac{8}{9}\)

At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.

To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.

So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.

Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.

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To find the shortest distance the three boys must walk before they are in step again, we need to determine the least common multiple (LCM) of the three step lengths.

The step lengths given are 54 cm, 60 cm, and 72 cm. To find the LCM of these numbers, we can find the prime factorization of each number and then take the highest power of each prime factor.

Let's calculate the prime factorization of each number:

54 = 2 * 3^3

60 = 2^2 * 3 * 5

72 = 2^3 * 3^2

Now, we take the highest power of each prime factor:

2^3

3^3

5^1

Multiplying these highest powers together, we get:

2^3 * 3^3 * 5^1 = 8 * 27 * 5 = 1080

Therefore, the LCM of 54 cm, 60 cm, and 72 cm is 1080 cm.

Hence, the three boys must walk a distance of 1080 cm before they are in step again.

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Answer:

perennials in education

The region inside the cylinder with the radial distance r must range from 3 to √(16 - z²).

In polar coordinates, we express points in terms of a radial distance (r) and an angle (θ). To find the volume of the solid, we need to determine the limits of integration for r, θ, and z.

The equation of the sphere x² + y² + z² = 16 can be expressed in polar form as r² + z² = 16. This implies that the radial distance r ranges from 0 to √(16 - z²). The angle θ spans from 0 to 2π, representing a complete revolution around the z-axis. The height z ranges from -4 to 4, as the sphere extends from -4 to 4 along the z-axis.

The equation of the cylinder x² + y² = 9 translates to r = 3 in polar form. However, we need to exclude the region inside the cylinder. Therefore, the radial distance r must range from 3 to √(16 - z²).

To find the volume, we integrate the expression r dz dθ dr over the given limits of integration. The volume is calculated by evaluating the triple integral using the appropriate limits.

It is important to note that without further information about the region of interest, such as any boundaries or additional constraints, a more precise volume calculation cannot be provided.

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The equation formed from the givens sentence is 84y + 273 = 79 - y.

Given the sentence is :

Write the sentence as an equation.

273 increased by the product of 84 and y equals 79 minus y

product of 84 and y = 84×y

= 84y

273 is increased from the product of 84 and y.

= 84y + 273

which is equal to 79 subtracted from y.

79 - y

now frame the equation:

84y + 273 = 79 - y

arrange the like terms.

84y + y = 79 - 273

85y = 79 - 273

85y = -194

y = -194/85

y = -2.28

Hence we framed the equation.

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The most probable color marble which could be picked up without looking is red colored marble because there quantity is comparatively higher than others.

As per the data given, the probability that the specific colored balls are picked up is given. So depending upon the total number of balls be any number x, then the number of red balls is half of the total balls, blue balls is quarter of total balls, green balls is one sixth of total balls and yellows balls are one twelfth of total balls.

Hence, yellow balls are least in number and red colored balls are higher in number and hence the probability that a red colored ball is picked up first is 1/2*100 = 50%.

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Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.

Distance covered by John = Distance covered by Jane

Therefore, \($(x + 5) = (x + 11)$\)

Thus, x = 6

Now, we need to find the speed of both, which is given by the formulae:

Speed = Distance / Time

So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph

Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)

Speed of Jane = \($17 / 7$\) mph

Since both have to be equal, Speed of John = Speed of Jane Therefore,

\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)

Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph

Speed of Jane = \($7 / 3$\) mph

Thus, their speed was \($7 / 3$\) mph.

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When completing the square is carried out on the quadratic \(x^2+11x\) we get

\(x^2+11x+\dfrac{121}{4}\)

when expressed as a binomial squared, we get

\(\left(x+\dfrac{11}{2}\right)^2\)

To complete the square, we need to add a term to the expression

\(x^2+11x\)

that would make it a perfect square. Generally, given the quadratic expression

\(x^2+bx\)

to make it a perfect square, we have to add half the square of the coefficient of \(x\). That is, add \(\left(\frac{b}{2}\right)^2\), or \(\frac{b^2}{4}\) to the quadratic expression to get

\(x^2+bx+\dfrac{b^2}{4}\)

which, when factored into a binomial squared becomes

\(\left(x+\dfrac{b}{2}\right)^2\)

In our case, the quadratic \(x^2+11x\) will become

\(x^2+11x+\dfrac{121}{4}\)

and when expressed as a binomial squared, we get

\(\left(x+\dfrac{11}{2}\right)^2\)

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Answer:

\(x^{2}\) +11x+ \(\frac{121}{4}\)= \((x+\frac{11}{2} )^{2}\)

Step-by-step explanation:

.

Answer:

1.96 meters / second2

Step-by-step explanation:

In linear equation, The mathematical sentence that expresses the information above is s / 2 ≤ 17

What is linear equation?

Therefore,

s = the number of students in Mr. Jones's algebra class

Therefore, the mathematical sentence that expresses the information above is as follows;

= s / 2 ≤ 17

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The complete question is -

Mr. Jones's algebra class has too many students in it. If the class were split exactly in half to form 2 new classes, each class would have no more than 17 students in it. If s = the number of students in Mr. Jones's algebra class, which mathematical sentence expresses the information above?

Answer:

Positive and Negative

Step-by-step explanation:

If you are adding positive and negative numbers together, subtract the smaller number from the larger one and use the sign from the larger number.

Answer:

keep the same sign and add the absolute value of each number.

A sinusoidal function of the form y = a sin(x - c) + d is changed by increasing d by 2. The new graph will have moved right.

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function. The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse.

Given,

A sinusoidal function of the form y = a sin(x - c) + d is changed by increasing d by 2.

The new graph will have moved right.

For periodic functions, phase shift refers to a horizontal shift to the left or the right. The sine wave is moved to the left if c = 2. if, the sine wave is then three degrees to the right. Despite going in the opposite way from what you may anticipate, this follows the general transformational principles for all functions.

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

y = - \(\frac{3}{4}\) x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \(\frac{0-3}{4-0}\) = - \(\frac{3}{4}\)

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \(\frac{3}{4}\) x + 3 ← equation of line

Answer:

three times

Step-by-step explanation:

Answer:

Step-by-step explanation:

the triangle is ... 1/2 b h = 1/2 * 3.6 * 4.8 the semi-circle is ... 1/2 π r^2 = 1/2 * 3.14 * 1.8^2

in other words

What you do is 4.8*3.6=A then divide your answer in half which is the area of the triangle than to find the area of the semi circle you do 3.14*1.8^{2}=A then divide that in half than add the two together then round to the nearest tenth.

Answer: 2144

Step-by-step explanation: thank you to the guy above lol!

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

Explanation: Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used.3 inches is the measurement of the scar in customary units. To convert 3 inches to metric units, multiply it by the conversion factor. There are 2.54 centimeters in one inch, which is the conversion factor. To find the equivalent metric length of a 3-inch scar, multiply 3 by 2.54. Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.  The equivalent metric length of a 3-inch scar would be 7.62 centimeters. Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used. There are 2.54 centimeters in one inch, which is the conversion factor.

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

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Hello !

Answer:

\(\Large \boxed{\sf r=\frac{3}{2} }\)

Step-by-step explanation:

Let's remember :

We know that the volume of the sphere is equal to half its surface area.

\(\sf V_{sphere}=\frac{1}{2} A_{sphere}\\\\\sf \frac{4}{3}\pi r^3=\frac{1}{2} 4\pi r^2\\\\\sf \frac{4}{3}\pi r^3=2\pi r^2\)

Let's solve this equation for r.

First, substract \(\sf 2\pi r^2\)  from both sides :

\(\sf \frac{4}{3} \pi r^3-2\pi r^2=0\)

We can now factorize by taking out the highest common factor: 2r²

\(\sf 2r^2(\frac{2}{3} \pi r-\pi )=0\)

We can use the zero-product property.

There are two solutions :

The first solution is absurd : The radius of a sphere cannot be 0.

We conclude that we must keep the second solution.

Have a nice day ;)

The value of MN is 3.05

Along with arithmetic, geometry is one of the earliest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions.

Since MN=NK,

draw an isosceles triangle (two sides are equal).

Mark the angle N as 110 degrees.

Now, draw a line from N to the opposite side at a right angle. This line will divide MK=5 in half since MN = NK.

It will also divide angle N into half. So, we will end up with a right triangle with one side 5/2 = 2.5 and the opposite angle 55 degrees.

sin(55) = opposite / hypotenuse = 2.5 / MN = 0.82

MN = 2.5 / 0.82 = 3.05

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Since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

If every term of the sequence is either greater than or equal to (≥) some number M or less than or equal to (≤) some number N (finite numbers), then the sequence is said to be bounded.

Otherwise, the sequence is said to be unbounded. And, if a sequence has a convergent subsequence, then the sequence is called bounded.

Let’s look at the example to answer the question.

Example of an unbounded sequence that has a convergent subsequence:

Let {an} = 1, 2, 3, 4, 5, 6, 7, …It is an unbounded sequence since there is no number that can be defined as M or N, that will make every term of the sequence less than or equal to (≤) or greater than or equal to (≥) this number (M or N).

However, {an} = 1, 2, 3, 4, 5, 6, 7, … has a convergent subsequence which is {an} = 1, 2, 3, 4, 5, 6, 7, … itself.

And, since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

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Answer:

30°

Hope this answer is right!

Step-by-step explanation:

to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.

The sequence 200, 40, 8, ... is a geometric sequence. Let's define the geometric sequence before we explain why the above sequence is geometric. In a geometric sequence, each term is multiplied by the same common ratio to obtain the next term.

A geometric sequence can be represented by the formula a, ar, ar^2, ar^3, ... , where a is the first term, r is the common ratio, and ar, ar^2, ar^3, ... are the successive terms. The common ratio can be calculated using any two consecutive terms in the sequence.To determine if a sequence is geometric or not, we need to check whether the ratio of successive terms is the same. In the given sequence, 200 is the first term, 40 is the second term, and 8 is the third term.

So, the common ratio is =0.2Similarly, the ratio between 40 and 8 is Therefore, the ratio of successive terms is 0.2, which is constant. Hence, the given sequence is a geometric sequence.

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Answer:

12 and 9

Step-by-step explanation:

Answer:

D -0.69

Step-by-step explanation:

Divided 20 and 29 :)

Answer:

Step-by-step explanation:

(1/2)*x+4=-8

x+4/2=-8

x+4=-8*2

x+4=-16

x=-16-4

x=-20

Answer:

x = -20

Step-by-step explanation:

1/2(x + 4) = -8

1/2x + 2 = -8

1/2x = -10

x = -10(2)

x = -20

Hope this helps!