Does 2x-4=x+1+x have exactly one solution

Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.

Given 10 toppings

10C3 =10!/3! 7! =120

10P5 =10!/5! =30240 ways

A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.

In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.

The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.

Learn more about combination here: https://brainly.com/question/11732255

#SPJ4

The columns of A are linearly independent if and only if A has n pivot columns.

Fill in the blank:

If A is an m x n matrix, then the columns of A are linearly independent if and only if A has n pivot columns.

Explanation:

A pivot column of a matrix A is a column that contains a pivot element in the row echelon form of A.

In other words, a pivot column is a column that has a leading non-zero entry in the row echelon form of A.

Suppose A is an m x n matrix with columns. \(a1, a2, ..., an\).

If the columns of A are linearly independent, then there is no non-trivial solution to the equation. \(c1a1 + c2a2 + ... + cnan\) \(= 0\), where \(c1, c2, ..., cn\)are not all zero.

This implies that the coefficient matrix.\([a1, a2, ..., an]\)has full rank n, and so the row echelon form of A has n pivot columns.

Tthe row echelon form of A has n pivot columns, then the coefficient matrix [a1, a2, ..., an] has full rank n.

This implies that the columns of A are linearly independent, because if there were a non-trivial linear combination of the columns of A that gave the zero vector, then the coefficient matrix would not have full rank n.

For similar questions on columns

https://brainly.com/question/25740584

#SPJ11

Answer:divideing by the whole number

Step-by-step explanation:

Answer:

10/3 of a kitchen cabinet

Step-by-step explanation:

To make a full hour, 1/5 would be multiplied by 5- and so would their progress.

2/3 * 5 = 10/3, which is also an improper fraction.

There is a change of 1/2 for Adam to get strictly more heads than Ben.

The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)

If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.

Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.

Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.

To know more about the probability, here

https://brainly.com/question/13604758

#SPJ4

The perimeter = the sum of the length of each side.

The shape with missing sides is a rectangle, and we know that rectangles have equal opposite sides.

The top of the rectangle = 3.5 and now we know all the values of each side.

3.5 + 3.5 + 2.4 + 2 + 2 = 13.4 cm.

The perimeter = 13.4cm

The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

To learn more about sampling click here:brainly.com/question/32907665

#SPJ11

The correct elements he left out by mistake are (B) (H, 6) and (T, 4).

Sample space is the set of all possible outcomes the considered random experiment can result to. Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We are Given that Sam is playing a game where he flips a coin and rolls a number cube labeled 1 through 6.

He listed the possible outcomes in the sample space as :

S' = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 5), (T, 6)}.

We need to find the two elements that he left out while writing the sample space.

The complete sample space is;

S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

All the elements of S are in S' except the two (H, 6) and (T, 4).

Hence Sam left out the elements (H, 6) and (T, 4).

Learn more about the sample space of a random experiment here:

https://brainly.com/question/9773761

#SPJ1

The area bounded by the curves is \((2/3) - (4/21)(2/7)^(3/2)\)square units.

Given curves are:y = 8x², y = x² + 2Therefore, the area bounded by the curves is given by integrating the difference of the curves from their intersection point.

The intersection point is given by equating the two curves:\(8x² = x² + 2⇒ 7x² = 2⇒ x² = 2/7⇒ x = ±(2/7)^(1/2)\)The two curves intersect at \(x = (2/7)^(1/2)\).

Therefore, the required area, A is given by:

\(A = ∫[x=-(2/7)^(1/2)]^[x=(2/7)^(1/2)] [(x² + 2) - 8x²] \\dx⇒ A = ∫[x=-(2/7)^(1/2)]^[x=(2/7)^(1/2)] (2 - 7x²) \\dx⇒ A = [2x - (7/3)x³] [x=-(2/7)^(1/2)]^[x=(2/7)^(1/2)\\]⇒ A = [(4/7)^(1/2) - (14/21)(2/7)^(3/2)] [since 2x = 2(2/7)^(1/2)]\\⇒ A = (2/3) - (4/21)(2/7)^(3/2)\) square units

Learn more about curves

https://brainly.com/question/29736815

#SPJ11

In the expression 7x + 15, 15 is a COEFFICIENT: False.

In the expression 7x + 15, 15 is a constant.

3x + 7 means (3x + 7) DIVIDED BY 2: False.

3x + 7 means 3x plus 7.

You can rewrite 2(4 + 8) as (2)(4) + (2)(8) using the DISTRIBUTIVE PROPERTY: True.

In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

By applying the distributive property of multiplication to left side of the equation, we have the following:

2(4 + 8) = (2)(4) + (2)(8)

2(12) = 8 + 16

24 = 24

Read more on equation here; brainly.com/question/12421589

#SPJ1

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

m=k-3

or if you meant this answer

m=1.5

Step-by-step explanation:

This should be correct but I apologize if it is not. I would appreciate the brainiest.

To estimate the area under the graph of f(x) = 3√x from x = 0 to x = 4 using four approximating rectangles, we can divide the interval [0, 4] into four subintervals of equal width and calculate the area of each rectangle using either the right endpoints or the left endpoints.

(a) Using right endpoints:

The width of each rectangle is Δx = (4 - 0) / 4 = 1.

The right endpoints for the four subintervals are x = 1, 2, 3, and 4.

We can calculate the height of each rectangle by evaluating f(x) = 3√x at the right endpoints:

f(1) = 3√1 = 3

f(2) = 3√2

f(3) = 3√3

f(4) = 3√4 = 6

The area of each rectangle is then the product of the width and the height.

R1 = 1 * 3 = 3

R2 = 1 * f(2)

R3 = 1 * f(3)

R4 = 1 * 6

To estimate the total area, we sum up the areas of the four rectangles:

R4 = R1 + R2 + R3 + R4

(b) Using left endpoints:

Similar to part (a), the width of each rectangle is Δx = (4 - 0) / 4 = 1.

The left endpoints for the four subintervals are x = 0, 1, 2, and 3.

We can calculate the height of each rectangle by evaluating f(x) = 3√x at the left endpoints:

f(0) = 3√0 = 0

f(1) = 3√1 = 3

f(2) = 3√2

f(3) = 3√3

The area of each rectangle is the product of the width and the height.

L1 = 1 * 0 = 0

L2 = 1 * f(1)

L3 = 1 * f(2)

L4 = 1 * f(3)

To estimate the total area, we sum up the areas of the four rectangles:

L4 = L1 + L2 + L3 + L4

Now, to determine whether the estimates are underestimates or overestimates, we compare them to the actual area under the curve.

To know more about endpoints refer here:

https://brainly.com/question/29164764?#

#SPJ11

when a ball travels in an arc, reaches its peak, and then returns to the ground in an arc. It can be claimed that the acceleration is pointing downward when the ball is in flight.

The rate at which an object's velocity with respect to time changes is known as its acceleration. Accelerations are vector quantities (in that they have magnitude and direction). The direction of the net force acting on an object determines its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the result of two causes working together.

The given statement states that the throw of a ball is at an angle. It travels in an arc, ascends to its peak, and then descends in an arc to the earth.

Acceleration from gravity is always constant and downward at all points in the projectile motion, so it is pointing downward.

To learn more about acceleration here-

brainly.com/question/12550364

#SPJ4

Answer:

I really don't know , I am in 7th grade

Answer:

x = 121°

Step-by-step explanation:

The lower left vertex and 115 are adjacent and supplementary, thus

left vertex = 180° - 115° = 65°

The angle round a point = 360°, so the top vertex is

360° - 304° = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

Concentric circles are internally tangent circles which is the true statement.

Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons)

Concentric circles are circles that have the same center but different radii.

When two concentric circles are drawn, it is possible for them to be internally tangent, meaning that they touch each other at exactly one point and the point of tangency is inside both circles.

In this case, one circle is entirely contained within the other circle.

Learn more about the circles here:

brainly.com/question/1554214

#SPJ1

The Vieth-Müller Circle is an imaginary circle that passes between both retinae and the fixation point.

The Vieth-Müller Circle is an ophthalmology concept that depicts an imaginary circle that passes across the foveas (the primary points of the retinae that are responsible for acute, detailed vision) and the fixation point (the point at which the eyes are directed).

The Vieth-Müller Circle is significant because it helps to explain the phenomenon of binocular vision, which is the ability to perceive depth and three-dimensional space using both eyes together. The circle aids in the definition of the equivalent locations on the two retinae, which are sites that receive visual field information and are critical in combining the images from the two eyes into a single, three-dimensional perception.

To know more about retinae and fixation point, visit,

https://brainly.com/question/27123882

#SPJ4

The imaginary circle that passes through both retinae and the fixation point is called the horopter. The horopter is important in visual perception as it represents the set of points in space that stimulate corresponding points on each retina, which is necessary for binocular vision and depth perception.

The Horopter is an imaginary circle that passes through both retinae and the fixation point. In this context:

1. "Imaginary" refers to the fact that the Horopter is a theoretical concept rather than a physical object.
2. "Retinae" are the light-sensitive layers at the back of both eyes, which play a crucial role in processing visual information.
3. "Fixation" is the point where both eyes are focused on a single object in the visual field.

In brief, the Horopter represents a collection of points in the 3D space that are perceived as having the same depth or distance as the fixation point. It helps in understanding binocular vision and depth perception, as points on the Horopter contribute to forming a single, fused image from both eyes.

To learn more about depth perception : brainly.com/question/2372629

#SPJ11

The probability that the other player has the ace of hearts is 25/102.

There are a total of 52 cards in a standard deck, and since one player has the Ace of Spades, that leaves 51 cards remaining.

Of those remaining 51 cards, there is only one Ace of Hearts,

So, the probability of the other player having the Ace of Hearts is 1/51.

However, there are 4 suits in a deck of cards, and since we don't know the suit of the Ace of Spades, we must account for the possibility that the Ace of Hearts has already been dealt. If the Ace of Hearts has been dealt, then there are only 50 cards remaining, and the probability of the other player having the Ace of Hearts is 0.

So the overall probability is the probability that the Ace of Hearts hasn't been dealt, which is 50/51, multiplied by the probability that the Ace of Hearts is in the same suit as the Ace of Spades, which is 3/12.

(since there are 3 Aces remaining in the same suit as the Ace of Spades, out of 12 remaining cards of that suit)

So the overall probability is:

(50/51) * (3/12) = 25/102

To know more about the "probability": https://brainly.com/question/25688842

#SPJ11

The relation R on the set (1, 2, 3, 4) can be represented by an arrow diagram and a matrix. The arrow diagram visually depicts the connections between the elements.

To represent the relation R on the set (1, 2, 3, 4) using an arrow diagram, we draw a directed arrow from each element in the set to the element it is related to. For example, we draw an arrow from 1 to 3 and 4, an arrow from 2 to 1, an arrow from 3 to 2 and 4, and an arrow from 4 to 2. The resulting arrow diagram shows the connections between the elements in the relation.

The matrix representation of a relation uses a table to show the presence or absence of connections between elements. For the relation R on the set (1, 2, 3, 4), we create a 4x4 matrix where the rows and columns correspond to the elements of the set. We fill in the matrix with 1s to indicate that there is a connection between the respective elements and 0s otherwise. In this case, the matrix would be:

| 0 0 1 1 |

| 1 0 0 0 |

| 0 1 0 1 |

| 0 1 0 0 |

In the matrix, a 1 in the i-th row and j-th column indicates that the element i is related to the element j. For example, the entry in the first row and third column is 1, indicating that 1 is related to 3.

Learn more about matrix here:

https://brainly.com/question/29132693

#SPJ11

From the question, , KL ≈ 34.32 and KM ≈ 55.81.

Since KL ║ NM, we have m∠KLM = m∠M = 50° (alternate interior angles)

Also, KN ⊥ NM and NL ⊥ LM, so KNL and LNM are right triangles.

From KNL, we have:

sin(50°) = KN/KL

KN = KL sin(50°)

From LNM, we have:

LM + MN = 45

MN = KL cos(50°)

Since KN ⊥ NM, we have:

KM = KN + MN

KM = KL sin(50°) + KL cos(50°)

KM = KL(sin(50°) + cos(50°))

We can solve for KL using MN and LM:

MN = KL cos(50°)

MN = 45 - LM

KL cos(50°) = 45 - LM

KL = (45 - LM) / cos(50°)

Substituting into the equation for KM:

KM = [(45 - LM) / cos(50°)] (sin(50°) + cos(50°))

Simplifying, we get:

KM ≈ 55.81

And substituting back into the equation for KL:

KL ≈ 34.32

Therefore, KL ≈ 34.32 and KM ≈ 55.81.

Learn more about angles at:https://brainly.com/question/26961508

#SPJ1

Answer:

83.3=width

30÷18=k

k=1.66666

k·50=83.3

w=83.3

The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

For more such questions on equations, click on:

https://brainly.com/question/17145398

#SPJ8

Answer:

even integer = { 0,2 }

odd integer = { 1,3 }

Step-by-step explanation:

-1 < x < 4 = { 0, 1 , 2, 3 }

x is an integer then the value of x is

= even integer = { 0,2 }

= odd integer = { 1,3 }

THANKS ʘ‿ʘ

I COME FROM INDONESIA

Answer:

20

Step-by-step explanation:

What is 25 percent (calculated percentage %) of number 80? Answer: 20.

Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.

Illinois city-to-airport distances can be discovered using a distance spatial join.

Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

To know more about the GIS, here

https://brainly.com/question/13210143

#SPJ4

Answer:

B) L(x) = -x + 2

Step-by-step explanation:

To find the tangent at (1,1), we differentiate x² - ln(x/y) = 1 with resect to x.

So, x² - ln(x/y) = 1  

x² - (lnx - lny) = 1

x² - lnx + lny = 1

differentiating both sides with respect to x, we have

d{x² - lnx + lny]/dx = d1/dx

dx²/dx - dlnx/dx + dlny]/dx = d1/dx

2x - 1/x + 1/y(dy/dx) = 0

1/y(dy/dx) = 1/x - 2x

dy/dx = y(1/x - 2x)

dy/dx evaluated at (1,1) is

dy/dx = y(1/x - 2x)

= (1)(1/1 - 2(1))

= 1 - 2

= -1

This is the gradient of the tangent line.

To find the equation of the tangent line, we use (y - y')/(x - x') = m where y' = 1, x' = 1 and m = gradient of line = dy/dx = - 1

(y - y')/(x - x') = m

(y - y')/(x - x') = dy/dx

(y - 1)/(x - 1) = -1

cross-multiplying,

y - 1 = -1(x - 1)

expanding the bracket, we have

y - 1 = -x + 1

adding + 1 to both sides, we have

y -1 + 1 = -x + 1 + 1

y = -x + 2

So, L(x) = -x + 2

Answer:

\(s(u(2)) = 135\)

Step-by-step explanation:

\(u(t) = 7t - 2 \\ u(2) = 7(2) - 2 \\ u(2) = 14 - 2 \\ u(2) = 12 \\ \\ s(t) = {t}^{2} - 9 \\ s(u(2)) = {(12)}^{2} - 9 \\ s(u(2)) = 144 - 9 \\ \\ s(u(2)) = 135\)

I hope I helped you^_^

For the functions u(t) = 7t - 2 and s(t) = t² - 9. s(u(2)) = 135

A function is a mathematical equation that shows the relationship between two variables.

For the functions u(t) = 7t - 2 and s(t) = t² - 9.To find what is s(u(2)), we proceed as follows.

Since u(t) = 7t - 2. Then u(2) is evaluated when t = 2. So, we have that

u(t) = 7t - 2

u(2) = 7(2) - 2

u(2) = 14 - 2

u(2) = 12

Now, since u(2) = 12 and s(t) = t² - 9

s(u(2)) is evaluated as follows

s(t) = t² - 9

s(u(2)) = 12² - 9

s(u(2)) = 144 - 9

s(u(2)) = 135

So, s(u(2)) = 135

Learn more about function here:

https://brainly.com/question/29631554

#SPJ3