A packet of 33 Marbles needs to be split between Gavin and Howard in the ratio of 5:6. How many marbles will each boy get. ​

Cutting at less than a right angle to the axis but more than the angle made by the side of the cone produces an ellipse.

Therefore, with this above statement, the statement which best describes how to slice a cone so that the resulting cross-section is an ellipse is

A plane slicing the cone diagonally without intersecting the base

The correct option, therefore, is OPTION B

Answer:

b=11

Step-by-step explanation:

lets set up the equation. we know that both sides equal each other so the equation is

2b+7=3b-4 let's move the 2b to the other side so we get

7=b-4 now add the 4 to the other side

11=b

Answer:

B is 11

Step-by-step explanation:

The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.

To convert the polar form of n = (2.80∠–29.9°) to rectangular form, we can use the following equations:

a = r*cos(θ)
b = r*sin(θ)

where r is the magnitude of the complex number and θ is its angle in polar form.

Using the given values, we have:

r = 2.80
θ = –29.9°

Converting θ to radians:

θ = –29.9° * π/180 = –0.522 radians

Substituting the values in the equations, we get:

a = 2.80*cos(–0.522) = 2.45
b = 2.80*sin(–0.522) = –1.38

Therefore, the rectangular form of n = (2.80∠–29.9°) is:

n = 2.45 – 1.38j

So,  The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.

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Answer:

2n - 10 = 12

Step-by-step explanation:

the difference of twice a number and 10 is equal to 12

= twice a number minus 10 equal to 12

=> 2n - 10 = 12

The equation to represent the given phrase is 2n-10=12. Therefore, option C is the correct answer.

The given phrase is the difference of twice a number and 10 is equal to 12.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the unknown number be n.

The difference of twice a number and 10

= 2n-10

So, equation is 2n-10=12

Now, 2n=22

n=11

The equation to represent the given phrase is 2n-10=12. Therefore, option C is the correct answer.

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The relationship between significant digits and calculations is; Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers

Precision refers to how closely individual measurements agree with each other. In any measurement, the number of significant figures is critical. The number of significant figures is the number of digits believed to be correct by the person doing the measuring. It includes one estimated digit.

Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers. It is important to estimate uncertainty in the final result, and this is where significant figures become very important.

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Answer:

The percentage is 45 percent.

Step-by-step explanation:

Answer:

juba

Step-by-step explanation:

Answer:

Juba is the capital city of South Sudan

Answer:

Point Form:

( − 9 , 9 )

Equation Form:

x = − 9 , y = 9

Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

We need to examine the two-way table provided in the study. The table has four age categories (8-10, 11-12, 13-14, and 15+), and two groups: male and female. We are interested in finding the percentage of males who had their first crush before the age of 13.

Looking at the table, we can see that out of the total number of males surveyed (which is not given), 34.5% had their first crush between the ages of 8-10, 18.9% between the ages of 11-12, and 22.4% between the ages of 13-14. We do not know the percentage of males who had their first crush at the age of 15 or above, but that is not relevant to this question.

To find the percentage of males who had their first crush before the age of 13, we need to add up the percentages for the 8-10 and 11-12 age categories. Therefore, the percentage of males who had their first crush before the age of 13 is 34.5% + 18.9% = 53.4%.

In conclusion, the answer to the question is not one of the options provided, but rather 53.4%. It's important to note that we cannot determine the total number of males surveyed based on the information given in the table, and that the study only includes data from college freshmen, which may not be representative of the entire population.

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For the statement to happen, the number should be 2.

An algebraic expression is is defined as the combination of numbers and variables in solving a particular mathematical question. Variable, usually letters, are used to denote the unknown quantity.

Let x = number

Based on the information given, add the number to the numerator of 11/35 and add twice the number to the denominator of 11/35, and the result should be equal to 1/3.

Hence, (11 + x) / (35 + 2x) = 1/3.

Simplify and solve for the value of x.

3(11 + x) = (35 + 2x)

33 + 3x = 35 + 2x

3x - 2x = 35 - 33

x = 2

number = 2

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Answer:

4x² - x

Step-by-step explanation:

Add:

3x² + 2x - 1

x² - 3x + 1

= 4x² - x

Answer:

Step-by-step explanation:

    3x2 + 2x – 1

+      x2 – 3x + 1

= 4x2 – x

1. 3(n+5)

2. 6w-15w=-9w=-9(w)

3. 4(x+5)

4. y(4-z)

5. 3v(1-2z)

6. 2y(3-7z)

7. 7x-3x=4x=4(x)

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 given angles and equate to 180

x + 6 + 3x - 2 + 7x = 180, that is

11x + 4 = 180 ( subtract 4 from both sides )

11x = 176 ( divide both sides by 11 )

x = 16

Thus

∠ V = x + 6 = 16 + 6 = 22°

∠ W = 3x - 2 = 3(16) - 2 = 48 - 2 = 46°

∠ X = 7x = 7(16) = 112°

The percentage of category shelf facings for Brand F is 10% out of the total facings allotted for all brands in that category, based on the information provided.

To calculate the percentage of category shelf facings for Brand F, we need to determine the proportion of shelf facings allotted to Brand F out of the total facings allotted for all brands in that category.
Company U has 100 outlets, and half of those outlets carry Brand F. This means that there are 50 outlets that carry Brand F.
Out of the 50 facings allotted for all brands in that category, Company U allots Brand F 5 shelf facings.
To find the percentage, we divide the facings allotted to Brand F (5) by the total facings allotted for all brands in the category (50), and then multiply by 100 to express it as a percentage.
(5 facings / 50 facings) * 100 = 10%
Therefore, the percentage of category shelf facings for Brand F is 10%. This indicates that Brand F occupies 10% of the available shelf space in the category across Company U's outlets.



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Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Therefore, percentage accuracy he had with predicting his scores is 92.86%.  

Answer: False for sure

Answer:

\(\boxed{\mathrm{False}}\)

Step-by-step explanation:

\(-2<6\)

-2 is less than 6.

6 is a greater value than -2.

Answer:

2.5

Step-by-step explanation:

You can do rise over run and you get 25/10 which is 2.5 or 5/2. So you are correct

Answer:

2.5

Step-by-step explanation:

Slope = change in y/ change in x

In this case the change in y between two spots is 25 and the change in x is 10. So the slope would be 25/10 which can be simplified to 2.5

Hope this helps :D

A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).

An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.

For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.

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The client with hypotension weighing 60 kg is prescribed nitroprusside at a rate of 3 mcg/kg/min. The solution concentration is 100 mg in 250 ml of D5W.

To calculate the infusion rate in ml/hr, we need to convert the dose from mcg/kg/min to mg/hr.

First, we calculate the total dose per minute by multiplying the weight of the client (60 kg) by the prescribed dose (3 mcg/kg/min):

Total dose per minute = 60 kg * 3 mcg/kg/min = 180 mcg/min.

Next, we convert the total dose from mcg to mg by dividing by 1,000:

Total dose per minute = 180 mcg/min / 1,000 = 0.18 mg/min.

To calculate the ml/hr, we need to find the total volume of the solution infused per hour. Given that the solution concentration is 100 mg in 250 ml of D5W, we can set up a proportion:

0.18 mg/min / X ml/hr = 100 mg / 250 ml.

Solving for X, we have:

X = (0.18 mg/min * 250 ml) / 100 mg ≈ 0.45 ml/hr.

Therefore, for a client weighing 60 kg using a solution concentration of 100 mg in 250 ml of D5W.

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The required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.

Given that,
To determine the slope of the line through the points (-6, 3) and (-7,-4).

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the line is given by,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the point in the above equation,
m = 3 + 4/ -6 + 7
m =7 / 1
m = 7

Thus, the required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.

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The period of the pendulum is approximately 1.57 seconds.

The period of a simple pendulum can be calculated using the formula: T = 2π√(L/g), where T is the period of the pendulum, L is the length of the pendulum, and g is the acceleration due to gravity. To calculate the period of the pendulum,

we need to first calculate the value of g. The acceleration due to gravity at the surface of the Earth is approximately 9.81 m/s^2. Substituting the values, we get:

T = 2π√(0.255/9.81) = 1.57 seconds

Therefore, the period of the pendulum is approximately 1.57 seconds.

It is important to note that this calculation assumes that the angle through which the pendulum is pulled and released is small. If the angle is too large, the pendulum will not follow a simple harmonic motion and the period calculated using this formula may not be accurate.

Additionally, other factors such as air resistance and friction may affect the motion of the pendulum and cause the period to deviate from the calculated value.

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                                  "Complete question"

t: You pull a simple pendulum of length 0.255 m to the side through an angle of 3.50 degree and release it. How much time does it take the pendulum bob to reach its highest speed? Take free fall acceleration to be 9.80 m/s^2. t = _____ s How much time does it take if the pendulum is released at an angle of 1.75 degree instead of 3.50 degree? t = _____ s

6 × 10³ is the multiplication of 3 × 10⁷ and 2 × 10⁻⁴.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

Another example could be 7² = 7³/7 here we divide to obtain power 2.

Let's say x is 3 × 10⁷ times as great as 2 × 10⁻⁴.

Then,

x = (3 × 10⁷) × (2 × 10⁻⁴)

x = (3 × 2) × (10⁷ × 10⁻⁴)

x = 6 × 10⁷⁻⁴

x = 6  × 10³

Hence "6 × 10³ is the multiplication of 3 × 10⁷ and 2 × 10⁻⁴".

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Answer:

Step-by-step explanation:

principle=1000

time= 2 years

rate = 2×12=24/100=0.24%

simple intrest= p×r×t

= 1000 × 0.24 × 2

=480 rupees

total amount will be 1000 + 480= 1480

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

\(-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7\)

Answer:

D undefined

Step-by-step explanation:

The number of triangles that can be formed from a common vertex on the polygon shown is three triangles.

To form triangles on polygons, you can draw diagonals connecting the vertices of the polygon. A diagonal is a line segment that connects two non-adjacent vertices of a polygon. By drawing diagonals, you can create triangles within the polygon.

From a hexagon, we can draw three diagonals from each vertex. So, from a common vertex, we can draw three diagonals and form three triangles. Since there are six vertices in a hexagon, we can choose any one of these vertices as the common vertex and form three triangles.

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Answer: Domain

Step-by-step explanation: I don’t know how to explain it but I hope you understand it!