There is a rack of 10 billiard balls. Balls numbered 1 through 8 are​ solid-colored. Balls numbered 9 through 10 contain stripes. If one ball is selected at​ random, determine the odds aganist it being soild-colored.

Answer:

eeeeee e e. e e e. e eeeeeeeeeeeeee

There will be a total of 210 handshakes.

We have,

To find the total number of handshakes when 15 people shake hands with each other, we can use the formula for combinations.

The number of handshakes can be calculated using the formula:

nC2 = (n x (n - 1)) / 2

Where n represents the number of people.

For 15 people,

Substituting n = 15 into the formula:

= (15 x (15 - 1)) / 2

= (15 x 14) / 2 = 210

Therefore,

There will be a total of 210 handshakes.

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Answer:If (x + 1) is a factor of the polynomial p(x), then p(x) can be written as:

p(x) = (x + 1) q(x)

for some polynomial q(x). By substituting x = -1 into this expression, we can find the value of c:

p(-1) = (-1 + 1) q(-1) = 0 q(-1) = 0

So,

0 = 5(-1)^4 + 7(-1)^3 - 2(-1)^2 - 3(-1) + c

= -5 + 7 - 2 + 3 + c

= c = 3

So, the value of c that makes (x + 1) a factor of the polynomial p(x) = 5x^4 + 7x^3 - 2x^2 - 3x + c is c = 3.

Answer:

20

Step-by-step explanation:Because thats the last two digets

The prime factorization of 720 using exponents is 2⁴×3²×5.

The given number is 720.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

The factors of 720 are

720 = 2×2×2×2×3×3×5

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, 2×2×2×2×3×3×5 = 2⁴×3²×5

Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.

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Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer: 12y+168

Step-by-step explanation:

Basically, multiply each of the numbers that are in the parenthesis by the number outside the parenthesis (12). So 12·y=12y and 12·14=168. Therfore the answer is 12y+168 .

The value of r is equal to the cube root of (V * (3π/4)).

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Answer:

Given f(x)=8sin(x)+cot(x) for -pi<x<pi :

Note that:

f'(x)=8cos(x)-csc^2(x)

f''(x)=-8sin(x)+2csc^2(x)cot(x)

(1) To find the intervals where f(x) is increasing or decreasing we use the first derivative test; if the first derivative is positive on an interval the functio is increasing, negative implies the functio is decreasing.

Using technology we find the approximate zeros of f'(x) on -pi<x<pi :

x~~-1.443401

x~~-.3752857

x~~.3752857

x~~1.443401

Plugging in test values on the intervals yields:

f'(x)<0 on (-pi,-1.443401)

f'(x)>0 on (-1.443401,-.3752857)

f'(x)<0 on

Plz correct me if wrong

To ensure that there is an equal number of glass bears in each group, Mrs. Dryson constructed a total of 17 groups, which can be calculated using arithmetic operations.

What is arithmetic operations?

The study and application of numbers in all other fields of mathematics are covered in the area of mathematics known as arithmetic operations. Addition, subtraction, multiplication, and division are included in the basic operations.

As given in the question,

Mrs. Dryson divided her collection of 52 glass bears into equal groups and She had one bear left over

The steps listed below can be used to calculate the total amount of Mrs. Dryson's products:

Step 1: Arithmetic operations can be utilized to calculate Mrs. Dryson's overall output.

Step 2: Keep in mind that there are 52 glass bears in all, and after separating them into equal groups, she was left with just one bear.

Step 3 - The total bear population to divide into groups of an equal number is calculated as follows:

= 52 - 1 = 51

Step 4: The number that is divided by 51 such that the result is an integer is 3.

Step 5 - As a result, Mrs. Dryson created a total of the following groups:

= 51/3 = 17.

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Answer: I believe its A

Step-by-step explanation:

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer

The letters of English alphabet that have parallel lines and intersecting lines and perpendicular lines are: E, F, H, I, L, and T

Parallel lines are demonstrated as the lines that are at the same distance apart from each other. These lines never intersect or meet each other in a plane.

In English alphabet, the letters E, F, H, I, M, N, W, Z are examples of parallel lines.

Intersecting lines are elucidated as the lines that cross or intersect each other at a common point in a plane. Letter X correctly exemplifies this sharing of a common point.

Perpendicular lines are described as the lines which meet or intersect each other at an angle of 90 degrees. The letters E, F, H, I, L, and T demonstrate this intersection.

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Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

If six loaves lasted seven days, and she is going for 21 days next time, that is three times the amount of days she went on her last camping trip. so you multiply the amount of loaves by 3.

Answer:

B. 5 and 6

Step-by-step explanation:

21 bean bags divided by 4 students will give you 5.25. That lies between 5 and 6. Hope this helps you and that little brainliest crown in the corner looks mighty tempting to click ;))

Answer:

B

Step-by-step explanation:

Answer:

11 degrees

Step-by-step explanation:

We can write an equation

x - 13 = -2  Add 13 to both sides

x = 11

When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.

A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart. 

It is formed by slicing a cone with a plane in a way that produces a special type of conic section.

This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:

If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.

If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.

If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.

If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.

If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.

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Answer:

23.5 is the answer

Step-by-step explanation:

X10 =235 so x=235÷10 = 23.5

Answer:

the answer is 23.5

Step-by-step explanation:

I just did that question and got it right

On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

cost for the 12 classes = $72

cost of 1 unit = $6

cost of 9 units = $54

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Answer:

y = x + 6

Step-by-step explanation:

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

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Answer:

25:16

Step-by-step explanation:

I took the

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

It's A

Step-by-step explanation:

The y-intercept is 6, as seen on the chart.

To get the slope it is y2 - y1 / x2 - x1

Use the x and y intercepts

0 - 6 / 3 - 0

-6 / 3

-2

There you have your slope, just put it together!

y = -2x + 6

Answer:

(3.0)/(0.6)

m=6-0/0-3=-2

a

Step-by-step explanation:

Answer:

Use the inequality to help you complete the statements.

w > 4

The w in the inequality is the

✔ variable.

The 4 in the inequality is the

✔ constant.

Step-by-step explanation:

The Inequality equation having w greater than -4 and less than 0 is -4<w<0 .

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Here Given that,

w is greater than -4 it means,  w>-4       ........(i)

w is lower than 0 it means,      w<0        ........(ii)

So combining both the inequalities : w will be between -4 and 0, which means :

-4<w<0

So the answer will be -4<w<0

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If  Its return on sales is 5 percent. Sharpe’s return on shareholders' equity is 8.26%.

First step is to find the fixed asset

Fixed asset = $1,870,000 + $667,000

Fixed asset = $2,537,000

Second step is to find the sales

Sales = Total assets × Fixed asset turnover

Sales =  $2,537,000 × 1

Sales = $2,537,000

Third step is to find the stockholder equity

Stockholder equity =  $1,870,000 - $335,000

Stockholder equity = $1,535,000

Fourth step is to find the net income

Net income =  $2,537,000 × 5%

Net income = $126,850

Now let find the return on shareholders' equity

Return on shareholders' equity = Net income / Shareholders' equity

Return on shareholders' equity =  $126,850 /$1,535,000

Return on shareholders' equity = 8.26%

Therefore 8.26% is the return on shareholders' equity.

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The approximate distance from A to C is 226.71 feet.

The distance across the river is 222.54 feet.

To find the distance across a river, a surveyor choose points A and B, which are 230 ft apart on one side of the river. She then chooses a reference point C on the opposite side of the river and find that ∠BAC ≈ 79 degrees and ∠ABC ≈ 50 degrees.

The distance A to C can be found as follows:

sine law can be use to find AC.

a / sin A = b / sin B = c / sin C

Therefore,

230 / sin 51° = AC / sin 50

cross multiply

230 sin 50° = AC sin 51°

176.190221917 = 0.77714596145 AC

divide both sides by 0.77714596145

AC = 176.190221917 / 0.77714596145

AC = 226.714453469

AC = 226.71 feet

The distance across the river is the height of the triangle.

Therefore,

using trigonometric ratios,

sin 79° = opposite / hypotenuse

sin 79° = h / 226.71

cross multiply

h = 226.71 sin 79°

h = 226.71 × 0.98162718344

h = 222.544698759

h = 222.54 feet.

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Answer:

1986.8m³

Step-by-step explanation:

Radius=7.8m

Volume of sphere =4/3pi r³

=4/3×3.14×7.8³=1986.8m³

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.