Which of the following correctly
classifies the number -5 to all of the
number sets which it belongs?
A. Real, Irrational
B. Real, Rational, Integer
C. Real, Rational
D. Real, Rational, Integer,
Whole

Answer: The sum =14

Step-by-step explanation:

Given that n=2

And

sum = cube of a number, n, and 16 which can be expressed mathematically as

n^3 + 6

2^3 + 6

8 + 6= 14

Answer:

I dont know mommy

Step-by-step explanation:

Keep safe

I'm sorry but i can't help with this BUT i can give you a graph calculator

You can use Desmos graphing calculator to plot the inequality (y\ge-x^2-1).

h t t p s : / /w w w . d e s m o s. c o m / c a l c u l a t o r

Step-by-step explanation:

\(\tt {:}\longrightarrow |x - 10 | \leqslant 4 \\ \tt {:}\longrightarrow x - 10 \leqslant 4 \\ \tt {:}\longrightarrow x \leqslant 4 + 10 \: \\ \tt {:}\longrightarrow x \leqslant 14 \: \: \: \: \: \: \: \: \: \)

Answer:

Step-by-step explanation:

7: yogurts

12:different

7*12=84 choices

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

for more such question on distance visit

https://brainly.com/question/30395212

#SPJ8

Main Answer:The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

Supporting Question and Answer:

How can we express a vector as a linear combination of  vectors using a system of equations?

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

   2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Final Answer:Therefore,the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

To learn more about a vector as a linear combination of vectors using a system of equations from the given link

https://brainly.com/question/30758379

#SPJ4

The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

Orthogonality: We need to show that each pair of vectors is orthogonal, meaning their dot product is zero.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

  2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Therefore, the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

Learn more about linear combination

https://brainly.com/question/32297475

#SPJ4

Answer:

3.72 x 10^6

5.68 x 10^5

1 x 10^6

4.3 x 10^4

7.5 x 10^7

5 x 10^-11

8.6 x 10^-3

2.7 x 10^-4

1.9 x 10^-2

6 x 10^-6

right side of page

520 000 000

8 000 000

49 000

0.000000248

0.00036

0.000007132

Step-by-step explanation:

its just moving the point.

3.72 x 10^6 you moved the point 6 times to the left so its positive.

5 x 10^-11 moved it 11 times to the right so its negative

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

So Simply add them together and you will get 24.

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

Step-by-step explanation:

Where one is a full-time uber driver with two kids to support and a $1000 mortgage payment due in a week, note that it is possible to earn enough to pay the bill -- and make more than other players.

Note that the above question is based on a game by Financial Times. It is called The Uber Game. Note that the objective of the game is to demonstrate that it is possible to make a reasonable living by being a full-time Uber Driver.

The game is played at igdotftdotcom/uber-game.

It is crucial to note that as one would find in the game, making enough to cover one's expenses from the above game is subject to the following factors:

The objective of the game is to teach financial literacy to existing and prospective Full Time Uber Drivers. Note once again that this is an initiative of the Financial Times.

Learn more about Uber;
https://brainly.com/question/29850177
#SPJ1

Here, we are required to determine the elevation of the hole after placing the bush in the hole, relative to the ground level.

The elevation of the hole relative to the ground level is; 58 feet.

If Davis digs the hole at a rate of 34 feet every 10minutes, After digging for 40 minutes, he must have dug the hole up to;

(34 ×4) feet = 136feet.

Afterwards, Davis places a bush in the hole that fills exactly 78 feet of the hole.

Therefore, the elevation of the hole relative to the ground level is;

The difference between the initial depth of the hole and the height filled by the bush placed in the hole by Davis.

Therefore, the elevation of the hole relative to the ground level is;

(136 - 78) feet.

The elevation of the hole relative to the ground level is; 58 feet.

Read more:

https://brainly.com/question/18056980

Answer:

58 ft

Step-by-step explanation:

if youre on k12 and have a quiz on this your answer would be 58ft

The solution set for the equation \(e^x\) = 15.49, expressed in terms of logarithms, is x ≈ ln(15.49).

To express the solution in terms of logarithms, we can take the natural logarithm (ln) of both sides of the equation. The natural logarithm of \(e^x\)is simply x, so we have ln(\(e^x\)) = ln(15.49). Applying the logarithmic property, we get x ln(e) = ln(15.49). Since ln(e) equals 1, the equation simplifies to x = ln(15.49).

Using a calculator to obtain a decimal approximation, we can find the value of ln(15.49) to be approximately 2.735. Therefore, the solution set for the equation \(e^x\)= 15.49, expressed in terms of logarithms, is x ≈ 2.735.

Learn more about logarithms here:

https://brainly.com/question/30226560

#SPJ11

Answer:

Slope = -2

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-2

Step-by-step explanation:

Answer:

6 how do you not know this?

Step-by-step explanation:

8 = 1

16 = 2

24 = 3

32 = 4

40 = 5

48 = 6

maths. the more you know

By answering the presented question, we may conclude that As a result, equation the final score is 3/5.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

1/5 times 3 Equals (1/5) * 3

To answer this expression, we may apply the multiplication rule of fractions, which states that to multiple two fractions, multiply their numerators first and then their denominators. Therefore:

(1/5) * 3 = (1 * 3) / (5 * 1)

We obtain by simplifying the numerator and denominator:

3/5

As a result, the final score is 3/5.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

-10

Step-by-step explanation:

f(-4)=-(-4)-5

f(-4)=-1

g(-6)=2(-6)+3

-12+3

g(-6)=-9

add together:

-1+-9

=-10

Answer:

20 minutes

Step-by-step explanation:

12:00 - 11:40

Borrow from the hours remembering 1 hour = 60 minutes

12 becomes 11 and 00 becomes 60

11:60 - 11:40 = 20 minutes

Proficiency in statistics is a vital skill for a data analyst because it helps in analyzing and interpreting data and thereby making informed decisions based on the analyzed data.

Data analysts are responsible for ensuring that an organization's data is correct, and they do this by collecting and analyzing data. Statistics is a branch of mathematics that provides a way to systematically collect and analyze data. Statistical analysis provides a framework for identifying trends, patterns, and relationships in data and helps to understand the underlying mechanisms that produce them. It is important for a data analyst to have a good understanding of statistical methods because they need to use these techniques to analyze and interpret data. Furthermore, the statistical techniques used in data analysis help to identify patterns, relationships, and trends that may not be immediately apparent from the data. In conclusion, proficiency in statistics is an essential skill for a data analyst as it helps to make informed decisions based on data and ensures that an organization's data is accurate.

To know more about Data visit-

https://brainly.com/question/29117029

#SPJ11

The three consecutive integers are 10, 11, and 12.

To find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest, follow these steps:

1. Let the smallest integer be x. Then, the other two consecutive integers are x + 1 and x + 2.

2. The sum of their squares is x^2 + (x + 1)^2 + (x + 2)^2.

3. The given condition is that this sum is 65 more than three times the square of the smallest integer: x^2 + (x + 1)^2 + (x + 2)^2 = 3x^2 + 65.

4. Simplify the equation:
  x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) = 3x^2 + 65

5. Combine like terms:
  3x^2 + 6x + 5 = 3x^2 + 65

6. Subtract 3x^2 from both sides to eliminate the x^2 terms:
  6x + 5 = 65

7. Subtract 5 from both sides:
  6x = 60

8. Divide by 6:
  x = 10

So, the three consecutive integers are 10, 11, and 12.

Learn more about "integers": https://brainly.com/question/929808

#SPJ11

Given the principal and annual interest rate, the interest that Carla will earn at the end of 6 months is $7.81.

Simple interest is simply a method to determine the amount of interest charged on a sum at a given rate and for a given period of time.

It is expressed as;

I = prt

Given the data in the question;

Plug the given values into the formula above and solve for I.

I = p × r × t

I = $625 × 0.025 × 0.5

I = $7.81

Given the principal and annual interest rate, the interest that Carla will earn at the end of 6 months is $7.81.

Learn more about simple interest here: https://brainly.com/question/25845758

#SPJ1

Answer:

1/3

Step-by-step explanation:

The left side of FA is 6 units.

The left side of FB is 2 units.

From 6 to 2, you divide by 3.

Same for the top,

FA is 9 units, while FB is 3 units.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

a b and c

Step-by-step explanation:

a closed shape consisting of sides

hope it helps

Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

To know more about percentage change visit:

https://brainly.com/question/14801224

#SPJ1

Answer:

x = 4

Step-by-step explanation:

Knowing that:

\( log_{a}(x) = b\)

Is equal to

\(x = a {}^{b} \)

And knowing that:

\( log_{x}(256) = 4\)

\(x {}^{4} = 256\)

Solve by finding the x using the fourth root

\( \sqrt[4]{ {x}^{4} } = \sqrt[4]{256} \)

That is equal to

\(x = 4\)

Answer:

He has 0 yards

Step-by-step explanation:

Initially he lost 10 yards

This means that he is 10 yards away from the starting point which we shall call origin

Afterwards, he gained 10 yards

what this mean is that he is back at the original point before the loss

Since he gained what he lost, then he is back at the origin and then we can say that no yards was lost or gain so we have him gaining 0 yards only

Answer:

2/5

Step-by-step explanation:

The rate of change is the slope.  The equation is in slope-intercept form.  So, the slope is 2/5 = rate of change

Step-by-step explanation:

X= raspberry

X = 600 ÷ 11 = 54 batches

[ 60 minutes = 1 hour]

[600 minutes = 10 hours]

Y = peach

Y = 600 ÷ 8 = 75 batches

Answer:

its b

Step-by-step explanation:

it just is

Observe the pattern below. (The alternate numbers form a pattern)2, 3, 4, 6, 6, 9, 8, 12, 10, 15, 12, ….The next two numbers in the series:

18 , 14 ...

Answer:

Step-by-step explanation:

The discriminant is a part of the quadratic formula that tells us how many and what kind of solutions are possible for a quadratic equation . It is the expression b^2 - 4ac found under the square root symbol in the quadratic formula .

A positive discriminant indicates that the quadratic equation has two distinct real number solutions . A discriminant of zero indicates that the quadratic equation has a repeated real number solution . A negative discriminant indicates that neither of the solutions are real numbers.

Therefore, the correct response to your question is “How many and what kind of solutions are possible.” The discriminant does not tell you how many x-intercepts or y-intercepts a parabola has or whether the parabola opens up or down.

I hope this helps! Let me know if you have any other questions or if there is anything else I can help you with.