14/7 into mixed numbers​

Answer:

x = 6

Step-by-step explanation:

.16x + 2 * .02 = (x + 2) * .17
.16x + .4 = .17x + .34
.06 = .01x
6 = x

The function \(g(x) = x^{23} - 3x^2\) is analyzed in terms of its properties and extrema. By examining the graph, the behavior and trends of the function can be observed.

(a) By observing the graph of g(x), we can determine the behavior and trends of the function.

(b) The derivative of g(x) is found by taking the derivative of each term, resulting in \(g'(x) = 23x^{22} - 6x\).

(c) The function g(x) is strictly increasing if g'(x) > 0 for all x in the domain, and strictly decreasing if g'(x) < 0 for all x in the domain.

(d) The second derivative of g(x) is computed as g''(x) = 46x^21 - 6.

(e) For the domain [1, 2], the maximum and minimum values of g(x) are determined by evaluating g(x) at the endpoints and critical points within the interval.

(f) Similar to (e), the maximum and minimum values of g(x) are found for the domains (1, 2) and (0, ∞).

(g) The necessary conditions on the interval I for both maximum and minimum values involve analyzing the behavior of g(x) and its derivatives within the interval.

By considering these steps and analyzing the properties of the function and its derivatives, we can determine the maximum and minimum values of g(x) for different domains and discuss the necessary conditions for achieving those extrema.

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Answer:

No, because a triangle will have to add up to 180 degrees. And if the two angles are already set for both triangles, there is only one answer that will make these triangles equal 180 degrees. So no there is no way possible.

Step-by-step explanation:

Hi! I'm happy to help.

A rational number is a number that repeats, or stops.

First of all, 8/5, in fraction and decimal form (1.6), stops, So it is Rational.

Next, we have pi. This number, doesn't ever stop, or repeat. ( 3.1415926535 897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...) So, pi, is Irrational.

Next, we have 0. This number stops, so it is Rational.

Next, we have\(\sqrt{1}\), the square root of 1, is 1, because 1 squared is one. 1 stops, so it is Rational.

Next, we have 4.46466... This number doesn't stop, and it doesn't seem to repeat, so it is Irrational.

Next, we have -6. -6 stops, so it is Rational.

Finally, we have \(\sqrt{2}\). The square root of 2 is 1.41421356237...

This number doesn't stop, and doesn't repeat, so it is Irrational.

To sum it up: Number 1, 3, 4, and 6 are Rational, and Number 2, 5, and 7 are Irrational.

I hope this was helpful, keep learning! :D

Answer:

\(3 \times |x| = 0 \\ 3 \times |x| \div 3 = 0 \div 3 \\ |x | = 0 \\ x = 0\)

Answer:

-0.75

Step-by-step explanation:

-0.75 or -5/4

-0.75 or -1.25

-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

The solution to the inequality V - 4/5 ≤ -1/3 is: V ≤ 7/15

Inequality refers to a relationship between two values or expressions that are not equal. An inequality uses symbols such as <, >, ≤ (less than or equal to), ≥ (greater than or equal to) to indicate the relationship between two quantities..

To solve the inequality V - 4/5 ≤ -1/3 for V, we can use inverse operations to isolate V on one side of the inequality.

V - 4/5 ≤ -1/3

Add 4/5 to both sides:

V - 4/5 + 4/5 ≤ -1/3 + 4/5

Simplify:

V ≤ -1/3 + 4/5

To add the fractions on the right-hand side, we need a common denominator. The least common multiple of 3 and 5 is 15, so we can write:

V ≤ -5/15 + 12/15

Simplify:

V ≤ 7/15

Therefore, the solution to the inequality V - 4/5 ≤ -1/3 is:  V ≤ 7/15

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Answer:

A = 102m squared (Brainiest?)

Equation = b x h / 2

Step-by-step explanation:

A = (12 x 17) / 2

A = 204 / 2

A = 102m squared

Answer:

I know this aint no clever bro cmon that stuff is easy

Step-by-step explanation:

Given integral I=∫−23​x(x+1)δ(x3−x)dx . The value of the given integral is 0.

We are given the integral, I=∫−23​x(x+1)δ(x3−x)dx

We know that the Dirac delta function, δ(x), is zero for all values of x except x=0, where it is infinite.

Hence, we can write δ(x) asδ(x)={0if x≠0∞if x=0

Thus, the given integral becomes

\(I=\int\-23​x(x+1)\delta(x^3-x)dx\\=\int\−23​x(x+1)\delta(x(x2−1))dx\\=\int\−23​x(x+1))\delta(x))\delta(x2−1)dx\)

Now, we use the following property of the Dirac delta function:

\(\int\limits^\infty_{-\infty} f(x)\delta(x-a)dx=f\)

This property states that the integral of the product of the Dirac delta function and any other function f(x) is equal to f(a) at the point x=a and is zero everywhere else.

Using this property, we get

\(I=\int\−23​x(x+1)\delta(x)\delta(x2−1)dx\\=x(-2)(x+1)+x(2)(x-1)\\=(-2x^2-2x)+(2x^2-2x)\\=0\)

Hence, the value of the given integral is 0.

since the Dirac delta function is zero for all values of x except x=0, where it is infinite. By using the properties of the Dirac delta function, we were able to evaluate the given integral and obtain its value.

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Step-by-step explanation:

h(x)=2x-1

h(-1)=2×-1-1

h(-1)=-2-1

h(-1)=-3

Answer=-3

The value of h(-1 )= -3

Expression is defined as a mathematical statements that have a minimum of two terms variables.

Given

h(x) =2x-1

Put x = -1 in the expression

h(-1) = 2×(-1)-1

h(-1) = -2-1

h(-1 )= -3

Hence, the value of h(-1 )= -3

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Answer:

13

Step-by-step explanation:

You add the number of miles he ran to the number he walked, which is 10 + 3 to get 13, which is half of his initial goal :D

Answer:

perimeter is 36 cm

Step-by-step explanation:

Answer:

3)

Step-by-step explanation:

An equation is linear if equal changes in x produce equal changes in y.

Let's look at each choice.

1)

A decrease of 10% per year. That means each year, the value of the car is 0.9 times the value of the previous year.

For example, if the original value was $10,000, after 1 year, it is worth 0.9 * $10,000 = $9,000. In 1 year it lost $1,000. In the next year, its value is now 0.9 * $9,000. The value at the end of the 2nd year is $8,100. In the second year, it lost $900 in value. In one period of 1 year it lost $1000 in value. In another equal period of 1 year, it lost $900 in value. A change of 1 year in time produces different changes in loss of value, so it is not linear.

2)

Here, the number doubles every year. Let's say it starts with 100 fish. After 5 years, it has 200 fish. In a change of 5 years in x, the change in y is 100. In the next 5 years, it goes from 200 fish to 400 fish. The change in the second period of 5 years is 200. We see that a change of 5 years can produce a change of 100 fish, but another change of 5 years can produce a change is 100 fish. Since for equal changes in x, the changes in y are not all equal, this is not linear.

3)

Here for every change of 1 day in x, the change in y is 2 liters. Each change of 1 in x always produces a change of 2 in y. This is linear.

4)

Each 2 hours, the amount of caffeine is 2/3 of what it was before. This is similar to the choice 1), and it is not linear.

Answer: 3)

The matrix A has eigenvalues λ₁ = 5 and λ₂ = 4, with corresponding eigenvectors [2; -1] and [4; 1], respectively.

To determine the eigenvalues and eigenspaces for the given matrix A = [3 4; 6 8], we need to find the solutions to the characteristic equation.

The characteristic equation is obtained by setting the determinant of (A - λI) equal to zero, where λ is the eigenvalue and I is the identity matrix of the same size as A.

The matrix (A - λI) can be written as:

(A - λI) = [3 - λ 4; 6 8 - λ]

Taking the determinant of (A - λI) and setting it equal to zero:

det(A - λI) = (3 - λ)(8 - λ) - (4)(6) = λ² - 11λ + 20 = 0

Now we solve this quadratic equation to find the eigenvalues:

(λ - 5)(λ - 4) = 0

So, the eigenvalues are λ₁ = 5 and λ₂ = 4.

To find the eigenvectors corresponding to each eigenvalue, we substitute the eigenvalues back into the matrix equation (A - λI)X = 0, where X is the eigenvector.

For λ₁ = 5:

(A - 5I)X₁ = 0

[3 - 5 4; 6 8 - 5] X₁ = 0

[-2 4; 6 3] X₁ = 0

Solving this system of equations, we find that X₁ = [2; -1].

For λ₂ = 4:

(A - 4I)X₂ = 0

[3 - 4 4; 6 8 - 4] X₂ = 0

[-1 4; 6 4] X₂ = 0

Solving this system of equations, we find that X₂ = [4; 1].

Therefore, the eigenvalues are λ₁ = 5 and λ₂ = 4, and the corresponding eigenvectors are X₁ = [2; -1] and X₂ = [4; 1].

The basis for the eigenspace corresponding to each eigenvalue is the set of eigenvectors for that eigenvalue. So, the eigenspace corresponding to λ₁ = 5 is spanned by the vector [2; -1], and the eigenspace corresponding to λ₂ = 4 is spanned by the vector [4; 1].

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Answer:

The initial value, b = $3.50 is the skate rental fee

The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink

Step-by-step explanation:

From the question we have;

The charges of the roller skating rink = A skate rental fee + An hourly rate

The total cost to skate for 2 hours = $9.50

The total cost to skate for 5 hours = $18.50

The relationship between the total cost of skating and the duration in hours = Linear relationship

Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;

The form of the equation is y = m·x + b

Where;

m = The rate of change of the linear relationship

b = The initial value (y-intercept)

When x = 2, y = 9.50

Therefore, we can write;

9.50 = 2·m + b...(1)

When x = 5, y = 18.50

Therefore, we can write;

18.50 = 5·m + b...(2)

Subtracting equation (1) from equation (2) gives;

18.50 - 9.50 = 5·m - 2·m + b - b = 3·m

9.0 = 3 × m

∴ m = 9.0/3 = 3.0

The rate of change, m = 3.0

Similarly, we have;

From equation (1), we get;

9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b

9.50 = 6.0 + b

∴ b = 9.50 - 6.0 = 3.50

The initial value = 3.50

Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.

Both B and C could be the type of function that exhibits the behavior, the average rate of change for a function is greater from x = 1 to x = 2 than

from x = 2 to x = 3.

Given that,

the average rate of change is greater from x = 1 to x = 2 than from x = 2 to x = 3, this implies that the slope of the function is steeper in the interval [1,2] than in the interval [2,3]. This means that the function is getting steeper as x increases, but the

rate of increase is decreasing.

The following types of functions can exhibit this

behavior:

A. Linear: A linear function has a constant slope, so it cannot exhibit this behavior.

B. Quadratic: A quadratic function has a changing slope, so it can exhibit this behavior. However, it depends on the specific coefficients of the quadratic equation.

C. Exponential: An exponential function can also exhibit this behavior. For example, y =

\(2^x\)

has a steeper slope for smaller values of x, but the rate of increase slows down as x gets larger.

Therefore, both B and C could be the type of function that exhibits this behavior.

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Answer:

9 :  7, or 9/16 to 7/16

Step-by-step explanation:

We know that there are 9 blue hats.

We know there are 7 red hats.

This is a 9 : 7 ratio.

In fraction form, we must find the total ratio, use that as the denominator, then take the seperate amounts, such as bluei adn red hats, and use that as the numerator:

9+7=denominator

denominator = 16

Blue hats = 9

Ratio of red = 9/16

Red hats = 7

Ratio of red = 7/16

Hope this helps!

Answer:

pennsylvania because -9 is colder than -7

Step-by-step explanation:

give brainliest if right

Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.

To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.

First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.

Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.

By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.

Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.

Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.

By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.

Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.

Therefore, (a, b) ∈ R implies (a, b) ∈ R2.

We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.

If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.

To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.

In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.

Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.

In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.

However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.

This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

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A function is a mathematical relationship between the domain and the range, two sets of values. The range is the set of output values that the function produces, and the domain is the set of input values for which it is defined.

What is a function, exactly?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

Consider the function f(x) = x^2 as an illustration. This function generates the value f from the supplied value x. (x). This function will return the value 9 if the given value is 3, since 3^2 = 9.

Generally speaking, a function describes the relationship between two sets of values (the domain) (the range). For instance, the relationship between the input value x and the output value f(x) is described by the function f(x) = x^2.

A formula, which is a guide that explains how to calculate the output value for a specific input value, is typically used to express a function. For instance, the function f(x) = x^2 has the formula f(x) = x^2. We just enter the input value into the formula and simplify to determine the output value for a particular input value.

A fundamental idea in mathematics, functions are used to model and describe a wide variety of real-world occurrences. For instance, the quadratic function f(x) = x^2 + 2x + 1 can be used to simulate how an item would move in the presence of gravity. A population's expansion over time can be predicted using the exponential function f(x) = 3^x.

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Answer:

0.003 km

Step-by-step explanation:

KM = MM / 1,000,000

x = 3,000mm / 1,000,000 = 0.003 km

There are also 0.000001 km in 1 mm, so in reverse,

0.000001

0.001 <- move to left 3 times (1,000)

0.003 km = 3,000 mm.

\(1mm = 1 \times {10}^{ - 6} \\ 3000mm = x \\ \\ \\ x = 3000 \times {10}^{ - 6} \\ x = 0.003\)

3000 millimetre = 0.003 kilometre

Step-by-step explanation:

d = 100miles

t = 45 × 60 = 2700sec

dis = speed × time

relationship btw speed and time when d distance is 100miles is

100 = speed × 2700sec

speed = 100 = 0.037m/s

2700

Answer:

The measure of angle B would be 100°

Step-by-step explanation:

Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation:

If you divide 627 by 3, you get 209 which is a whole number.

Hope this helped! Have a nice day!
Please give Brainliest when you can!

-Jaron

Answer:

technically speaking, yes. but if you don't want any remainders, (or decimals) then no.

Step-by-step explanation:

7 isnt divisable by anything, unless you have remanders or decimals, fractions ext. so yeah.

The critical numbers of the function f(x) = -6x⁵ + 15x⁴ + 20x³ + 4 are x = 0, x = 1 + √3, and x = 1 - √3.

To find the critical numbers of the function, we need to find the values of x where the derivative of f(x) is equal to zero or undefined.

First, we can find the derivative of f(x) as follows

f(x) = -6x⁵ + 15x⁴ + 20x³ + 4

f'(x) = -30x⁴ + 60x³ + 60x²

Next, we set f'(x) equal to zero and solve for x

-30x⁴ + 60x³ + 60x² = 0

-30x²(x² - 2x - 2) = 0

Using the quadratic formula, we can solve for the roots of x² - 2x - 2

x = (2 ± √(4 + 8))/2

x = 1 ± √3

So the critical numbers of f(x) are x = 0, x = 1 + √3, and x = 1 - √3.

To classify these critical points, we can use the second derivative test.

f''(x) = -120x³ + 180x² + 120x

At x = 0, f''(x) = 0, so the second derivative test is inconclusive.

At x = 1 + √3, we have

f''(1 + √3) = -120(1 + √3)³ + 180(1 + √3)² + 120(1 + √3)

≈ -327.4

Since the second derivative is negative at this point, it is a local maximum.

At x = 1 - √3, we have

f''(1 - √3) = -120(1 - √3)³ + 180(1 - √3)² + 120(1 - √3)

≈ 73.4

Since the second derivative is positive at this point, it is a local minimum.

Therefore, the critical numbers are

x = 0 (inconclusive)

x = 1 + √3 (local maximum)

x = 1 - √3 (local minimum)

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The given question is incomplete, the complete question is:

Find the critical numbers of the function f(x) = - 6x⁵ + 15x⁴ + 20x³ + 4 and classify them.

Answer:

Step-by-step explanation:

The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared." Example 1: Two stars are the same size, (RA=RB), but star A is 2x hotter than star B (TA=2TB): Therefore: Star A is 24 or 16x brighter than Star B.

False. A linear transformation is not completely determined by its effect on the columns of the identity matrix. While the columns of the identity matrix form a basis for the vector space, and determining their images under the transformation provides some information about the transformation, it does not provide a complete characterization.

A linear transformation is defined by its action on all vectors in the vector space, not just the basis vectors. The transformation can have different effects on vectors that are not in the span of the columns of the identity matrix. Therefore, knowing only the effect on the basis vectors does not fully determine the transformation.

To completely determine a linear transformation, one needs to know its effect on a set of linearly independent vectors that span the entire vector space. This set of vectors does not have to be restricted to the columns of the identity matrix. The transformation can be uniquely defined by specifying its values on these vectors, and then extended linearly to the entire vector space.

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Answer:

Inequality Form:

2 − √ 11 < x < 2 + √ 11

Interval Notation:

( 2 − √ 11 , 2 + √ 11 )

Step-by-step explanation:

Solve the inequality for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.