If (− 1 3 ) + 7 = 4, then what is the value for ( 1 3 ) + 6?

Considering supplementary angles, we have that the measures of x and y are given as follows:

We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.

Supplementary angles are angles whose measures add to 180º.

The three internal angles of a triangle are supplementary, hence we can find x as follows:

90 + 40 + x = 180

130 + x = 180

x = 50º.

Angles x, y and 50º are also supplementary, hence:

x + y + 50 = 180

50 + y + 50 = 180

y = 80º.

The angles with measures x and 40º are complementary, as they add to 90º.

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Answer:

sum up to 130 but not equal

Step-by-step explanation:

Answer:   a is 4

j is 3

g is 1

Step-by-step explanation:

Answer:

A) (-4,-4) J) (0,-3) G) (3,0)

Step-by-step explanation:

Since we know the equation for a 180 clockwise rotation is (x,y) —> (-x,-y) we simply just make all coordinates negative. (except for zero ofc)

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

3x + 2x + 4x =180

9x = 180

x = 20

4x 2x 3x

= 4 ×20 = 2× 20 = 3× 20

=80 = 40 = 60

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

The product of their ages is 36

The sum of the girls age is 13

two sister=?

13 by 36

26

By using formula and solving, Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t

A collision is an event in which two or more objects come into contact with each other. In physics, a collision is defined as a rapid and forceful interaction between two or more objects that causes a transfer of energy. Collisions can be elastic or inelastic, depending on whether or not the total kinetic energy of the objects is conserved.

Force is a physical quantity that describes the interaction between two or more objects. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause an object to accelerate, change its shape, or change its direction of motion. Forces can be categorized into different types, such as contact forces, which act when two objects are in contact, and non-contact forces, which act at a distance. Some examples of non-contact forces are gravitational force, electric force, and magnetic force.

To calculate the force of impact on the bowling ball and bowling pin during the collision, you can use the formula:

Force of Impact = Change in momentum / Time of collision

The change in momentum is given by the formula:

Change in momentum = Final momentum - Initial momentum

The initial momentum of the 6 kg bowling ball traveling at 2 m/s is:

Initial momentum (ball) = 6 kg * 2 m/s = 12 kg*m/s

The final momentum of the bowling ball can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision. In this case, since the bowling pin is moving after the collision and the bowling ball is not, the final momentum of the bowling ball is zero.

Final momentum (ball) = 0

Change in momentum (ball) = Final momentum (ball) - Initial momentum (ball) = 0 - 12 kgm/s = -12 kgm/s

The force of impact on the bowling ball is:Force of impact (ball) = Change in momentum (ball) / Time of collision = -12 kg*m/s / t (t is the time of collision, assuming it's a short time)

Similarly, the initial momentum of the 1.5 kg bowling pin at rest is:

Initial momentum (pin) = 1.5 kg * 0 m/s = 0 kg*m/s

The final momentum of the bowling pin can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision.

Final momentum (pin) = Initial momentum (ball) = 12 kg*m/s

Change in momentum (pin) = Final momentum (pin) - Initial momentum (pin) = 12 kgm/s - 0 kgm/s = 12 kg*m/s

The force of impact on the bowling pin is:

Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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The general solution to the given system of linear differential equations is:

X(t) = c₁\(e^{-t}\)[a₁, a₂, a₃]ᵀ + c₂\(e^t\)[1, -1, 0]ᵀ + c₃\(e^{2t}\)[2, 1, -1]ᵀ. Here, c₁, c₂, and c₃ are constants determined by the initial conditions, and [a₁, a₂, a₃]ᵀ is the given eigenvector.

To find the general solution to the given system of linear differential equations, let's start by rewriting the system in matrix form:

X' = AX + B

where X = [x₁, x₂, x₃]ᵀ, X' is the derivative of X with respect to t, and A and B are matrices defined as follows:

A = [[-1, 2, 4],

[-1, 0, 1],

[2, 1, 1]]

B = [2, 0, 0]ᵀ

To find the general solution, we need to compute the eigenvalues and eigenvectors of matrix A. You mentioned that one eigenvector is provided, so let's denote it as v₁.

Eigenvalues (λ₁, λ₂, λ₃) and eigenvectors (v₁, v₂, v₃) of matrix A are:

λ₁ = -1 (provided)

v₁ = [a₁, a₂, a₃]ᵀ

To find the remaining eigenvalues and eigenvectors, we can solve the characteristic equation:

|A - λI| = 0

where I is the identity matrix.

Let's solve for the remaining eigenvalues (λ₂, λ₃) and eigenvectors (v₂, v₃).

Using the eigenvalue λ = -1 and eigenvector v₁, we have:

(A + I)v₁ = 0

Substituting the values of A and λ, we get:

[0, 2, 4]ᵀa = 0

Solving this system of equations, we find that the eigenvector v₁ is:

v₁ = [1, -2, 1]ᵀ

Now, let's find the remaining eigenvalues and eigenvectors by solving the characteristic equation:

|A - λI| = 0

Substituting the values of A and λ, we get:

|[-1, 2, 4],

[-1, 1, 1],

[2, 1, 2] - λ[I]| = 0

Expanding the determinant and solving, we find the remaining eigenvalues:

λ₂ = 1

λ₃ = 2

To find the corresponding eigenvectors, we solve the equations:

(A - λ₂I)v₂ = 0

(A - λ₃I)v₃ = 0

Solving these systems of equations, we find the eigenvectors:

v₂ = [1, -1, 0]ᵀ

v₃ = [2, 1, -1]ᵀ

Now that we have the eigenvalues and eigenvectors, we can write the general solution:

X(t) = c₁\(e^{\lambda_1t}\)v₁ + c₂\(e^{\lambda_2t}\)v₂ + c₃\(e^{\lambda_3t}\)v₃

where c₁, c₂, and c₃ are constants determined by the initial conditions.

By substituting the values of the eigenvalues and eigenvectors, we obtain the final general solution for X(t):

X(t) = c₁\(e^{-t}\)[a₁, a₂, a₃]ᵀ + c₂\(e^t\)[1, -1, 0]ᵀ + c₃\(e^{2t}\)[2, 1, -1]ᵀ

The complete question is:

Find the general solution to the system of linear differential equations. The independent variable is t. All of the eigenvalues and one of the eigenvectors are provided for you.

2x₁ + 2x₂ + 4x₃ = 2-x₁'

- x₁ + x₂' = 2x₂ + x₃

x₃' = 2x₁ + x₂ + x₃

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The vector field f(x, y, z) = i + 2j + 3k represents a constant vector field that points in the direction of the positive x-axis with magnitude 1, positive y-axis with magnitude 2, and positive z-axis with magnitude 3.

The plot of this vector field would consist of parallel arrows pointing in the same direction, where each arrow represents the magnitude and direction of the vector at a specific point in space. The arrows would be evenly spaced and extend indefinitely in the positive x, y, and z directions. The length of the arrows would represent the magnitude of the vector, with longer arrows indicating larger magnitudes.

In summary, the plot of the vector field f(x, y, z) = i + 2j + 3k would consist of evenly spaced, parallel arrows pointing in the positive x, y, and z directions, representing a constant vector field with magnitudes 1, 2, and 3 along the respective axes.

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Answer:

3/20

Step-by-step explanation:

probability = Number of favourable outcomes÷Total number of outcomes

total outcomes =20 juice cans

Number of favourable outcomes =3cans of grape juice

Therefore P(E)=3÷20

Probability=3/20

=3/20

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, we have that:

The probability of one quote being chosen at least two times is given by:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351\)

\(P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321\)

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328\)

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

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Step-by-step explanation:

1. a + 130 =.180 ---> a = 50°

b + 130 + 120 = 360 ---> b = 110°

c + 120 = 180 ---> c = 60°

2. p + 44 = 180 ---> p = 136°

q + 44 = 180 ---> q = 136°

r = 44° (definition of vertical angles)

t = 34° (definition of vertical angles)

3. x = 50° (definition of vertical angles)

y = 50° (definition of alternate external angles)

Answer:

Step-by-step explanation:

Let the initial side be x

New skatepark has dimensions:

Its area is:

Answer:

64.8

Step-by-step explanation:

37.88+ 26.92

64.80

Answer:

He had 64.8

Step-by-step explanation:

Just add 37.88 and 26.92 together :)

37.88

+26.92

  64.8

Hope it helps!! :D

The multiplicity of the zero at x = 1/4 in the equation y = 16x² - 8x + 1 is 2.

To determine the multiplicity of the zeros of the quadratic equation y = 16x² - 8x + 1, we need to factorize the equation or find the solutions using the quadratic formula.

The quadratic equation can be factored as follows:

y = (4x - 1)(4x - 1)

From the factored form, we can see that the equation has a repeated factor of (4x - 1), indicating that the quadratic has a repeated zero at x = 1/4.

Therefore, the multiplicity of the zero at x = 1/4 in the equation y = 16x² - 8x + 1 is 2.

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Out of the given options, Option D (a+5, b+5, c+5) does not necessarily represent side lengths of a right triangle.

For a set of three numbers to represent the side lengths of a right triangle, they must satisfy the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In mathematical terms, for side lengths a, b, and c (where c is the hypotenuse), the Pythagorean theorem can be represented as a² + b² = c²

In this case, the correct option is D.

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Answer:

so their was 3 to 4 so we need to divide 3564 by 3

and then mulitply by 4 to get 4752

Hope This Helps!!!

ATQ

\(\\ \tt\longmapsto \dfrac{3}{4}=\dfrac{x}{x+3564}\)

\(\\ \tt\longmapsto 4x=3x+10692\)

\(\\ \tt\longmapsto 4x-3x=10692\)

\(\\ \tt\longmapsto x=10692\)

Answer:

The answer is D.

Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!

Answer:

d) a+b

Step-by-step explanation:

For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).

(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)

So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer

Answer:

15

Step-by-step explanation:

add them all and divide by 5

can i have brainly if i am right please

Using the Bisector Theorem, the length of DE is 4y + 13 if we bisect (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1.

Since l bisects DE at point R, we can use the segment bisector theorem, which states that the ratio of the lengths of the two segments is equal to the ratio of the lengths of the two other segments:

DR/RE = DE/ER

Substituting DR = 2y + 9 and RE = 3y - 1, we get:

(2y + 9)/(3y - 1) = DE/ER

Since R is the midpoint of DE, we have ER = DR = 2y + 9. Substituting this into the equation above, we get:

(2y + 9)/(3y - 1) = DE/(2y + 9)

Cross-multiplying, we get:

DE = (2y + 9)²/(3y - 1)

Expanding the numerator, we get:

DE = (4y² + 36y + 81)/(3y - 1)

Simplifying the expression, we get:

DE = 4y + 13

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Answer:

\(\begin{bmatrix}\mathrm{Solution:}\:&\:x > 1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(1,\:\infty \:\right)\end{bmatrix}\)

Step-by-step explanation:

Expand all intentional values

\(-8x-4 < 3x-15\)

Add 4 to both sides

\(-8x-4+4 < 3x-15+4\)

Simplify

\(-8x < 3x-11\)

Subtract 3x from both sides

\(-8x-3x < 3x-11-3x\)

Simplify

\(-11x < -11\)

Multiply both sides by -1 (reverse the inequality)

\(\left(-11x\right)\left(-1\right) > \left(-11\right)\left(-1\right)\)

Simplify

\(-11x < -11\)

Divide both sides by 11

\(\frac{11x}{11} > \frac{11}{11}\)

Simplify

\(x > 1\)

Your answer is

\(x > 1\)

















The number of different ways in which the six villains could attack Spider-Man one by one is :

720

Doctor Octopus is suggesting that the six villains, including himself, attack Spider-Man one by one instead of all at once. This plan is based on the assumption that Spider-Man would not be able to withstand six consecutive attacks. However, Spider-Man is known for his quick thinking and agility, which may give him an advantage in this scenario.

As for the number of different possible orders in which the villains could attack Spider-Man, this can be calculated using the formula for permutations of n items taken r at a time, which is:

n!/(n-r)!.

In this case,

n = 6 (the number of villains)

r = 6 (the number of positions in which they can attack Spider-Man).

Therefore, the number of different possible orders is 6!/(6-6)! = 720.

This means that there are 720 different ways in which the six villains could attack Spider-Man one by one.

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Answer: Theoretical probability is based on mathematical analysis and predictions, while experimental probability is based on actual data collected through repeated trials or experiments.

For example, the theoretical probability of tossing a fair coin and getting heads is 1/2, because there are two equally likely outcomes (heads and tails) and only one of them is heads.

On the other hand, the experimental probability of tossing heads can be found by conducting multiple trials of coin flips and recording the frequency of getting heads. As the number of trials increases, the experimental probability should approach the theoretical probability.

Therefore, the best comparison between theoretical and experimental probability of tossing heads is that the theoretical probability is based on mathematical analysis and predictions, while the experimental probability is based on actual data collected through repeated trials or experiments. The two probabilities may be similar or different, but as the number of trials increases, the experimental probability should converge to the theoretical probability.

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

The probability that she will choose to use a cab exactly one time is 4/9.

It has been given that In the morning she has 3 transportation choices. And in the evening the same 3 choices.

i) bus

ii) cab

iii) train

Since each choice have an equal chance of being chosen,

The probability of Choosing a bus will be 1/3

The probability of Choosing a cab will be 1/3

The probability of Choosing a train will be 1/3

Now, the Probability of Not Choosing the cab will be the sum of the probabilities of choosing a bus and train i.e, 2/3

Now there will be two possibilities-Either She chooses a cab in the morning and something else in the evening Or She chooses a cab in the evening and something else in the morning.

Therefore, the probability of choosing a cab exactly one time =

( Probability of cab in morning x Probability of no cab in the evening) + (Probability of no cab in morning x Probability of cab in evening)
Probability of choosing a cab exactly once

= 1/3 x 2/3  + 2/3 x 1/3

= 4/9

Therefore, the probability that she will choose to use a cab exactly one time is 4/9.

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Answer:

Hey there!

a+b

34+(-6)

34-6

28

Let me know if this helps :)

Answer:

A

Step-by-step explanation:

took the test

The given graph respresents the function of y = 2cos(2x)+1

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the cosine  function we took,

It is clear from the graph that the function plotted is 2 times greater than the standard function i.e. cos (x)

In cos (x) ⇒ we have maxima at (0, 1)

in the graph, ⇒ we have maxima at  (0, 3)

there is a change in the graph concerning the standard cos graph.

Hence, the graph given is 2cos(2x)+1

2cos(2x)+1 is the function represented in the graph.

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