which of the following expressions has a coefficient of 10 and a constact of 5

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

This is defined as the ratio of distance to time taken usually in kilometers per hour, miles per hour.

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

How to write equation

Distance Saul biked = 300 kilometers

Number of hours it takes train travel = t

Speed of train travel (kilometers per hour) = r

Speed = Total distance travelled / Time taken

r = 300 / t

Equation that represents how many hours

Make t the subject of formula

r = 300 / t

cross product

r × t = 300

t = 300/r

Therefore,

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

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Answer:

-3x-14xy+15

Step-by-step explanation:

\((8-9xy+3x^2-5x)-(3x^2-2x+5xy-7)\\\\=8-9xy+3x^2-5x-(3x^2)-(-2x)-(5xy)-(-7)\\\\=8-9xy+3x^2-5x-3x^2+2x-5xy+7\\\\=(8+7)+(-9xy-5xy)+(3x^2-3x^2)+(-5x+2x)\\\\=15-14xy+0-3x\\\\=-3x-14xy+15\)

Answer:

a

Step-by-step explanation:

5x - 3(x + 9) + 10 = 4

\( \implies \)\(5x - 3x - 27 + 10 = 4\)

\( \implies \)\(2x - 17 = 4\)

\( \implies \)\(2x = 4 + 17\)

\( \implies \)\(2x = 21\)

\( \implies \)\(x = \frac{21}{2} \)

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = \(3^{4}\) × 5², that is

\(3^{4}\) × 5² = \(3^{k}\) × \(5^{t}\)

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

To evaluate the integral ∫5t sin²(t) dt, we can use integration by parts.

Let u = t and dv = 5sin²(t) dt.

Differentiating u with respect to t, we get du = dt.

To find v, we need to integrate dv. Rewrite sin²(t) as (1/2)(1 - cos(2t)) to simplify the integral.

dv = 5sin²(t) dt

  = 5(1/2)(1 - cos(2t)) dt

  = (5/2)(1 - cos(2t)) dt.

Integrating dv, we have:

v = ∫(5/2)(1 - cos(2t)) dt

  = (5/2)(t - (1/2)sin(2t)) + C,

where C is the constant of integration.

Now we can apply integration by parts:

∫5t sin²(t) dt = uv - ∫v du

             = t * (5/2)(1 - cos(2t)) - ∫(5/2)(t - (1/2)sin(2t)) dt

             = (5/2)t - (5/2)(t/2)sin(2t) - (5/2)∫(t - (1/2)sin(2t)) dt

             = (5/2)t - (5/4)sin(2t) - (5/2)∫t dt + (5/4)∫sin(2t) dt

             = (5/2)t - (5/4)sin(2t) - (5/4)(t²/2) - (5/4)(-1/2)cos(2t) + C

             = (5/2)t - (5/4)sin(2t) - (5/8)t² + (5/8)cos(2t) + C,

where C is the constant of integration.

Therefore, the integral evaluates to (5/2)t - (5/4)sin(2t) - (5/8)t² + (5/8)cos(2t) + C.

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The following statements must be true based on the diagram below i.e. parallelogram is None of the above.

What is an alternate interior angle?

The angles created when a transversal crosses two coplanar lines are known as alternate interior angles. They are located on the transverse sides of the parallel lines but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar. These angles indicate whether or not the two provided lines are parallel to one another. The lines of the transversal crosses are parallel if these angles are equal to one another.

From the given figure,

angle GJH and angle JHI are equal because they are alternate interior angles. These results provide that opposite sides are parallel.

And, none of the above is a valid option for the given diagram.

Hence, the following statements must be true based on the diagram below is None of the above.

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The number of degrees of freedom in a real symmetric matrix is equal to the number of unique entries in the matrix.

If a matrix is n x n, then it has n^2 total entries. However, since it is symmetric, the diagonal entries are repeated, leaving (n^2 + n) / 2 unique entries. Therefore, the number of degrees of freedom in a real symmetric matrix is (n^2 + n) / 2.

The number of degrees of freedom in a real diagonal matrix is simply the number of diagonal entries, which is equal to the dimension of the matrix. Therefore, if the matrix is n x n, the number of degrees of freedom is n.

Finally, the number of degrees of freedom in a real orthogonal matrix is equal to the number of independent variables needed to specify the matrix. An orthogonal matrix is defined as a matrix whose columns are orthonormal, which means that they are unit vectors that are orthogonal (perpendicular) to each other. Since each column must be a unit vector, there are n independent variables needed to specify the first column (the magnitude and direction), n-1 independent variables needed to specify the second column (since it must be orthogonal to the first), and so on. Therefore, the total number of degrees of freedom in a real orthogonal matrix is the sum of the integers from 1 to n-1, which is (n-1)n/2.

Using the hint given in the question, we can add up the number of degrees of freedom in a real diagonal matrix and a real orthogonal matrix to get (n + (n-1)n/2), which simplifies to (n^2 + n)/2, which is the same as the number of degrees of freedom in a real symmetric matrix.

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the formula of the kinet

Answer:

1570 meters

Step-by-step explanation:

The circumference of a circle is 2πr, so we would start by finding the radius. The radius is half of the diameter, so r=1/2(500)=250. We would then plug in numbers to the equation getting:

2(250)(3.14)

=500(3.14)

=1570 meters

An equation of the plane through the origin and the points (4,−5,2) and (1,1,1) can be found using the cross product of two vectors.

To find the equation of a plane through the origin and two given points, we need to use the cross product of two vectors. The two points given are (4,-5,2) and (1,1,1). We can use these two points to find two vectors that lie on the plane.To find the first vector, we subtract the coordinates of the second point from the coordinates of the first point. This gives us:

vector 1 = <4-1, -5-1, 2-1> = <3, -6, 1>

To find the second vector, we subtract the coordinates of the origin from the coordinates of the first point. This gives us:

vector 2 = <4-0, -5-0, 2-0> = <4, -5, 2>

Now, we take the cross product of these two vectors to find a normal vector to the plane. We can do this by using the determinant:

i j k  
3 -6 1  
4 -5 2  

First, we find the determinant of the 2x2 matrix in the i row:

-6 1
-5 2

This gives us:

i = (-6*2) - (1*(-5)) = -12 + 5 = -7

Next, we find the determinant of the 2x2 matrix in the j row:

3 1
4 2

This gives us:

j = (3*2) - (1*4) = 6 - 4 = 2

Finally, we find the determinant of the 2x2 matrix in the k row:

3 -6
4 -5

This gives us:

k = (3*(-5)) - ((-6)*4) = -15 + 24 = 9

So, our normal vector is < -7, 2, 9 >.Now, we can use this normal vector and the coordinates of the origin to find the equation of the plane. The equation of a plane in point-normal form is:

Ax + By + Cz = D

where < A, B, C > is the normal vector and D is a constant. Plugging in the values we found, we get:

-7x + 2y + 9z = 0

This is the equation of the plane that passes through the origin and the points (4,-5,2) and (1,1,1).

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Answer:

Multiply Length times Width times Height.

Step-by-step explanation:

sq root 24 x sq root 18 x sq root 8 = 58.78

The value of x in the similar triangle is 12 units. The triangle are similar because they only vary in sizes but have the same shape.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles are also similar because they have the same shape but different sizes.

Hence, let's find the value of x as follows:

3 / 9 = 4  / x

cross multiply

3x = 36

divide both sides by 3

x = 36 / 3

x = 12

Therefore, the value of x is 12 units.

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Answer:

ok did you really just say brain fart I'm dying I cant stop laughing

By using implicit differentiation:

∂z/∂x=yz/8\(e^{8z}\)-xy

∂z/∂y=xz/8\(e^{8z}\)-xy

Without first having to solve the supplied equation for y, implicit differentiation enables you to determine the derivative of y with respect to x. Because we assume that y may be represented as a function of x, the chain rule must always be applied whenever the function y is being differentiated. If you need to determine the derivative dy/dx but x and y are not related to one another in a straightforward way, such as y = x, implicit differentiation is incredibly helpful (x). Instead, it's possible that x and y are related by a more challenging equation, such as sin(x + y) = x, where it may be challenging to describe y in terms of x.

Given function is,

\(e^{8z}\)=xyz

By using implicit differentiation,

We have to differentiate with respect to x, we get:

∂/∂x(\(e^{8z}\))=∂/∂x(xyz)

\(e^{8z}\)(∂/∂x(8z)=yz(1)+xy(∂z/∂x)

8\(e^{8z}\)∂z/∂x=yz+xy∂z/∂x

(8\(e^{8z}\)-xy)∂z/∂x=yz

∂z/∂x=yz/8\(e^{8z}\)-xy

Now, we have to differentiate again implicitly with respect to y, we get:

∂/∂y(\(e^{8z}\))= ∂/∂y(xyz)

\(e^{8z}\)(∂/∂y(8z)=xz(1)+xy(∂z/∂y)

8\(e^{8z}\)∂z/∂y=xz+xy∂z/∂y

(8\(e^{8z}\)-xy)∂z/∂y=xz

∂z/∂y=xz/8\(e^{8z}\)-xy

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The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

Answer:

The formula for the volume of a cylinder = height x π x (diameter / 2)^2

volume = 18 x π x (8/2)^2

volume = 502.654825 cm^3

volume = 502.7 cm^3

Answer:

904.8

Step-by-step explanation:

delta math

Answer:  I think that the answer for that is fh

Step-by-step explanation:

Answer:

36:1

Step-by-step explanation:

If the ratio of corresponding edge lengths is a:b, then the ratio of corresponding surface areas is a²:b², and the ratio of volumes is a³:b³.

a³/b³ = 3240/15

a³/b³ = 216/1

The ratio of the volumes is 216:1.

a/b = 6/1

a²/b² = 36/1

Answer:

Please mark me the brainliest

Bank Balance  | Amount Owed

---------------------|-------------

-$150               | $150

-$325              | $325

-$275              | $275

To find the amount owed, we simply take the absolute value of each bank balance. The player who owes the greatest amount is the one with the largest absolute value bank balance. In this case, that would be Malcolm, who owes $325.

Step-by-step explanation:

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

Therefore, the measure of ∠x is 33 degrees.

Step-by-step explanation:

As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:

∠R + ∠x = 90 degrees

Substituting the given values, we get:

57 + ∠x = 90

∠x = 90 - 57

∠x = 33 degrees

Answer: x = 32°

Step-by-step explanation: triangle of ABC = 58°, 90° & x°

                                              x = 180°-148° = 32°

(x° is equal to the unknown° where C is, as well as 58° where A is)

Answer:

It will be located in the explanation

Step-by-step explanation:

Answer:

5x-3(9)=-12

5x-27=-12

+27. +27

5x = 15

÷5. ÷5

x= 3

Answer:

Let's solve for x.

y=95x−3y

Step 1: Flip the equation.

95x−3y=y

Step 2: Add 3y to both sides.

95x−3y+3y=y+3y

95x=4y

Step 3: Divide both sides by 95.

95x

95

=

4y

95

x=

4

95

y

Step-by-step explanation:

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Answer:

x = - 4, x = 1

Step-by-step explanation:

x²+3x-4=0

- 4 = 4*(-1)

3 = 4 + (-1)

(x + 4)(x - 1) = 0

x + 4 = 0, x - 1 = 0

x = - 4, x = 1

Answer:

$1500

.................

Answer:

$1,500

Step-by-step explanation: