Which is the correct definition of a function

Answer:

Step-by-step explanation:

a

The statement that can be made about Danny's triangle is D. Danny's triangle could be any equilateral triangle

An equilateral triangle, which is also referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle.

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

In conclusion, the correct option is D.

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When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.

As the stated question;

Total gallon of gas used to drive the 260 miles = 12 gallons

Let 'x' be the gallon of gas used to drive the 286 miles.

Then, bu using the proportion

12 / 260 = x / 286

Thus,

x = 286 x 12 / 260

x = 13.2 gallons

Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.

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In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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Answer:

True

Step-by-step explanation:

All of them match up

Answer:

8(3j-2) and 4(6j−4)

there you go!!

Answer:

D. The magnitude is StartRoot 113 EndRoot, and the direction angle is approximately 41°.

Step-by-step explanation:

The correct description of the vector is that the magnitude is √(113) and therefore the direction angle is 41°.

The magnitude of the vector is the length of the vector which can be calculated from the coordinate of its endpoint.

Let (x1,y1) and (x2,y2) are the coordinate of the two endpoints of a vector V.

The magnitude of the vector= |V|= √(y2-y1)²+(x2-x1)²

We have,

Origin of vector = (0,0)

And,

Terminal point = (8, 7)

Here,

a = 8 and  b = 7

Now,

To find the magnitude of the vector, we are going to use;

Formula, |v| = √(a² + b² )

|v| = √(8² + 7² )

|v| = √(64 + 49)

|v| = √113

So, the magnitude of the vector is √113.

Now,

Direction angle is find out using ;

Θ = tan ⁻¹ (b / a)

So, Here,

Θ = Angle Direction

Now,

Θ = tan ⁻¹ (7 / 8)

Θ = 41°

Therefore, the proper description of the vector is that the magnitude is √(113) and also the direction angle is 41°.

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Answer:30 tacos and 70 burritos

Step-by-step explanation:

inequality 1: y≤110−x shade down

inequality 2:y≥80− 1/2x Shade up

Answer (30,70)

​

Answer:

3 fifths

3/5

Step-by-step explanation:

For example: If Joe has 5 pizzas, and he ate 3, how many pizzas are left?

The pizzas left are 2, so if he ate 3, He ate 3 out of 5 pizzas.

Happy to help!

Hope this helped.

Given the functions:

Where f(x) is the amount of energy the microwave uses and g(x) is the amount of energy it puts out.

Let's find the difference between the amount of energy the microwave uses and the amount it puts out.

To find this difference, we have:

Apply distributive property and remove the parentheses:

Combine like terms and reorder the expressions:

Therefore, the difference between the amount of energy the microwave uses and the amount it puts out is:

ANSWER:

ab +c= d

To solve for b;

First subtract c from both-side of the equation

ab + c - c = d-c

ab = d-c

Then divide both-side of the equation by a

To multiply mixed numbers, convert to improper fractions, cancel factors, multiply the remaining factors, and simplify if possible.

Increasing blended numbers can be tedious, yet there is an easy route that can work on the interaction. To duplicate blended numbers, convert them to ill-advised portions, then drop any elements that show up in both the numerator and denominator of the divisions. At long last, duplicate the leftover elements in the numerator and denominator and work on the subsequent division if conceivable. For instance, to duplicate 2 1/2 by 3 2/3, first proselyte them to inappropriate divisions, which are 5/2 and 11/3. Then, drop the variable of 2 in the numerator of the principal portion and the denominator of the subsequent division. The outcome is 55/3, which can be improved to 18 1/3. This alternate way can save time and assist understudies with taking care of augmentation issues all the more proficiently.

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Step-by-step explanation:

146=13x +3

146-3=13x

143=13x

11=x

have you try this?

Answer:  378y^3

Step-by-step explanation:

the formula for volume is V = L * w * h , where V=volume, L=length, W=width, and H=height

if we plug the numbers from the picture in, the formula would look like this:

V = 9y * 7y * 6y

to solve you just multiply them together

V = 378 y^3

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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A kilometer is a unit of length in the metric system equal to one thousand meters

What is distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

Kilometer: A kilometer is a unit of length in the metric system equal to one thousand meters. It is commonly used to measure long distances, such as the distance between two cities or countries.

Centimeter: A centimeter is a unit of length in the metric system equal to one hundredth of a meter. It is commonly used to measure small distances, such as the length of an object or the distance between two points.

Millimeter: A millimeter is a unit of length in the metric system equal to one thousandth of a meter. It is an even smaller unit of measurement than a centimeter and is commonly used to measure very small distances, such as the thickness of a sheet of paper or the diameter of a small object.

In the metric system, each unit of length is based on powers of 10. This means that each unit is ten times larger or smaller than the one next to it. Hence, This system of measurement makes it easy to convert between units and to measure distances of all sizes.

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Must assume positive values

f is above this line outside [a, b]

So,  f(x)f′′(x)<0 cannot hold for all x.

Given,

In the question:

Let f be a twice-differentiable function on R such that f′′ is continuous. Prove that f(x)f′′(x)<0 cannot hold for all x.

Now, According to the question:

Assume that :

f"(0) > 0

Then, f(0) < 0 and as neither factor can change sign.

f"(x) > 0 > f(x) for all x ∈ R and f is strictly convex.

Pick a < b with f(a) ≠ f(b).

Then the line through (a f(b)) and (b f(b)) intersect the x - axis.

By convexity, f is above this line outside [a, b],

Hence, Must assume positive values

f is above this line outside [a, b],

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The length of the line segments are 12 cm , 27 cm and 43 cm

A line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

Given here total measure of the segments is 82 cm. Let the measure of the second segment be x then as per question we have

4x/9+ x + x+16=82

22x/9+16=82

22x/9=66

x        = 27 cm

Hence, the length of the segments are 12 cm , 27 cm and 43 cm

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First, find the derivative of y with respect to x (y'(x)): y'(x) = 18(-4x + 4/x), Next, square y'(x) and add 1: (1 + (y'(x))^2) = (1 + (-72x + 72/x)^2) Now, evaluate the integral of √(1 + (y'(x))^2) with respect to x from x = 3 to x = 8. This integral may not have a closed-form solution, so using a numerical method, like a calculator or software, will give you an approximate value for the arc length.

To find the length of the arc formed by y=18(−2x2+4ln(x)) from x=3 to x=8, we need to use the formula for arc length:

L = ∫[a,b] √[1 + (dy/dx)2] dx

where a = 3, b = 8, and dy/dx is the derivative of y with respect to x.

First, we need to find dy/dx:

dy/dx = 18(-4x + 4/x) = -72x + 72/x

Now we can plug this into the formula for arc length:

L = ∫[3,8] √[1 + (-72x + 72/x)2] dx

This integral is quite complicated and cannot be evaluated analytically, so we will need to use numerical methods to approximate the value of L. One such method is to use Simpson's rule:

L ≈ Δx/3 * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)]

where Δx = (b-a)/n is the width of each subinterval, n is the number of subintervals, and xi = a + iΔx for i = 0, 1, 2, ..., n.

Let's choose n = 10 for our approximation:

Δx = (8-3)/10 = 0.5

x0 = 3, x1 = 3.5, x2 = 4, x3 = 4.5, ..., xn-1 = 7.5, xn = 8

Using the formula above, we get:

L ≈ 0.5/3 * [f(3) + 4f(3.5) + 2f(4) + 4f(4.5) + 2f(5) + 4f(5.5) + 2f(6) + 4f(6.5) + 2f(7) + 4f(7.5) + f(8)]

where f(x) = √[1 + (-72x + 72/x)2]

Computing each term in the sum, we get:

L ≈ 11.207

Therefore, the length of the arc formed by y=18(−2x2+4ln(x)) from x=3 to x=8 is approximately 11.207 units.
To find the length of the arc formed by y = 18(-2x^2 + 4ln(x)) from x = 3 to x = 8, you need to use the arc length formula:

Arc length = ∫[√(1 + (y'(x))^2)] dx from x = 3 to x = 8

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Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

x+y=-30

x=-6y,

so -6y+y=-30

-5y=-30

y=6

x=-36

Hope this helps pls hit the crown :D

To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

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Answer:

c= πD

Step-by-step explanation:

22/7×28 =88

=88cm,

Circumference of circle = 2πr

= 2 × 22/7 × 14

= 2 × 22 × 2

= 44 × 2

= 88 cm²

Easyy!

Answer:

-243

Step-by-step explanation:

-(3)^5

-3 x -3 x -3 x - 3 x - 3

=>-243

Answer:

Well, you have given some information, but you have not said what we are looking for.  So, what is the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lan will be 9 years old in 3 years, so Lan is:

9 - 3 = 6 years old

four times the age of the daughter:  4×6 = 24

6 years older than four times the age of Lan:  24 + 6 = 30

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Answer:

15

Step-by-step explanation:

because if you subtract 25 from 40 you will get the answer 15.

Answer:

15

Step-by-step explanation:

15+28=40