Help with a question on canvas

The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

To learn more about Functions refer to :

https://brainly.com/question/30169765

#SPJ1

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that \(N = 8 + 10 = 18\)

We want 3 boys, so \(k = 8\)

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that \(n = 8\)

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323\)

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

To determine the depth of the fish we just need to multiply the total depth by the fraction, then we have:

Therefore, the depth of the fish is 28 ft.

Answer:

I don't understand the meaning of question

Answer:

the answer is b, c, d, a, respectively

All this leads to the conclusion that the scale of dilation is 3 but the center of dilation about which the dilation is made is the point C.  

Center of dilation

This is a point in the coordinate plane about which all the points are expanded or contracted.

Scaling is the process of resizing or transforming an object. This is a transform that makes an object smaller or larger using a given scaling factor. The new shape obtained after extension is called an image, and the original image is called a prototype. There are two types of extensions.

Extraction - When an object increases in size.

Contraction- When an object is scaled down.

Extended geometry has an important concept called "extended centers". Expansion transforms the size of a shape so it can grow or shrink. Scaling is done at a point called the Expansion Center. This is the expansion center where the object/shape expands or contracts.

How to we can get the Center of Dilation:

We can see that CK is one unit and CC' is 3 units also,

CB is 2 units but CA is 6 units

CD is 2 units but CA' is 6 units

All this leads to the conclusion that the scale of dilation is 3 but the center of dilation about which the dilation is made is the point C.  

Learn more about Center of Dilation:

https://brainly.com/question/29229399

#SPJ4

Answer:

D.An equal chance or 50-50

Step-by-step explanation:

Also my name is Levi and my B-day is the 19th of Dec! (This is my mom's account)

Answer:

26

Step-by-step explanation:

7(4)+-2

28-2=26

Step-by-step explanation:

y = 4 and z = -2

\( = 7y + z\)

\( = 7 \times 4 + ( - 2)\)

\( = 28 - 2\)

\( = 26...\)

a constant is a term.

A term refers to a number or variable or a combination of number and variable

A constant is a term without variables

For instance:

5x - 8

5x is a term as it is a combination of number and a variable

x is the variable

-8 is a number and a constant as it doesn't have a variable attached to it.

-8 is also a term.

Hence, a constant is a form of a term.

Answer:

Sorry i have no idea hahha

Step-by-step explanation:

Good luck

The absolute value of the number - 2.25 plotted on the number line is 2.25.

It is the distance from zero that a number is on the number line, without considering direction.

The range of the vertical number line is from negative 5 to positive 5.

A single unit is marked as 0.25.

The point labelled is -2.25.

The absolute value of the number -2.25, plotted on the number line, is

|-2.25| = 2.25

As a result, the absolute value of the labelled number -2.25 is 2.25.

To learn more about absolute value, use the link given below:

https://brainly.com/question/1301718

#SPJ1

Answer

40.5

Step-by-step explanation

Answer:

The question's most likely incorrect

Step-by-step explanation:

Because if it were to be rearranged as 15 being the hypotenuse, and 9 and 12 being the two other sides, that would have been more valid.

Because according to Pythagoras, 15 squared = 12 squared + 9 squared

225 = 144 + 81.

And then it WOULD form a right angled triangle.

So...

Answer:

No, Ariel should have added 92 and 122 and compared that to 152.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Trust me.

Answer:

1.9*10^4   kg

Step-by-step explanation:

1.9*10^4   kg

Answer:

1.9 × 10⁴

Step-by-step explanation:

Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.

Answer:

31120 ounce

Step-by-step explanation:

Answer:31120

Step-by-step explanation:Use google

Answer:

15cm and 45cm

Step-by-step explanation:

If one part is one third of the other, then the long one is three times as long as the short one.

If the short one has length x

x + 3x = 60cm

4x = 60cm

x = 15cm

So short one is 15cm and the long one is 3*15cm = 45cm

Check the picture below.

The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =

The given dimensions for cylinders are:

r = 1.75 in, h = 2.2 in Surface Area of Cylinder:

S = 2πr² + 2πrh

The surface area formula of a cylinder is  S = (2 * pi * \(r^2\)) + (2 * pi * r * h).

S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)

= 44.33 + 38.49

= 82.82 square inches.

Volume of Cylinder: V = πr²h

The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.

Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.

Volume = π(1.75)²(2.2)

Volume ≈ π(3.0625)(2.2)

Volume ≈ 6.7375π cubic inches

The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm

Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.

Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.

For more related questions on surface area:

https://brainly.com/question/2835293

#SPJ8

Answer:

8

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

5*x = 4*10

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

Answer:

$287.68

Step-by-step explanation:

The five thousand three hundred mexican pesos is worth $287.68 (USD) today or two hundred eighty-seven us dollars 68 cents as of 10:00AM UTC.

Answer:

$288.59 american dollars

Answer:

x < 3

Step-by-step explanation:

Simplify both sides of the inequality by subtracting 26 from 29 to isolate the variable. The line will start at 3 and continue to the left (anything less than 3).

Answer: x<3

Step-by-step explanation: 29>26+x

29>x+26

x+26−26<29−26

x<3

Let [r, s] denote the least common multiple of positive integers r and s. Find the number of ordered triples (a, b, c) of positive integers for which [a, b] = 1000, [b, c] = 2000, and [c, a] = 2000.

Solution 1

It's clear that we must have a = 2^j5^k, b = 2^m^6 and c = 2^p5^q for some nonnegative integers j, k, m, n, p, q. Dealing first with the powers of 2: from the given conditions, max(j, m)=3, max(m, p) = max(p, j) = 4. Thus we must have p = 4 and at least one of m, j equal to 3. This gives 7 possible triples (j,m,p): (0, 3, 4), (1, 3, 4), (2, 3, 4), (3, 3, 4), (3, 2, 4), (3, 1, 4) and (3, 0, 4).

Now, for the powers of 5: we have max (k, n) = max(n, q) = max(q, k) = 3. Thus, at least two of k, n, g must be equal to 3, and the other can take any value between 0 and 3. This gives us a total of 10 possible triples: (3, 3, 3) and three possibilities of each of the forms (3, 3, n), (3, n, 3) and (n, 3, 3).

Since the exponents of 2 and 5 must satisfy these conditions independently, we have a total of 7. 10= 70 possible valid triples.

Solution 2

1000=2³5³ and 2000= 2⁴5³. By looking at the prime factorization of 2000, c must have a factor of 2¹. If c has a factor of 53, then there are two cases: either (1) a or b = 5³2³, or (2) one of a and has a factor of 5³ and the other a factor of 2³. For case 1, the other number will be in the form of 2^x5^y, so there are 4 4 16 possible such numbers; since this can be either a orb there are a total of 2(16)-1=31 possibilities. For case 2, a and b are in the form of 2³5^x and 2^y5³, with a x<3 and y<3 (if they were equal to 3, it would overlap with case 1). Thus, there are 2(3-3)= 18 cases.

If c does not have a factor of 5³, then at least one of a and b must be 2³5³, and both must have a factor of 5³. Then, there are 4 solutions possible just considering a = 2353, and a total of 4.2-17 possibilities. Multiplying by three, as 0<=c<=2, there are 7.3 = 21.

Together, that makes 31 +18+21= 70 solutions for (a, b, c).

Learn more about integers at https://brainly.com/question/15276410.

#SPJ4

Answer:

2x+6

Step-by-step explanation:

distribute negative 2-2x-4×2-4 combine like terms 2x+8-2=2x+6

Answer:

the answer is C.because it is a suitable combination for the question

The proportion equivalent with Two-thirds would be 6/9.

Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that the  proportion with Two-thirds

If you actually divide it’ll make since , so first  we want to divide the 2 , then you want to multiply the third of the two

2/3 x 3/3

6/9

thus, the answer will be 6/9.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ1

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

To learn more on travelled distances: https://brainly.com/question/29055485

#SPJ1

Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.

So we can determine that the measure of the missing angle

of our first triangle is 40° because 90 + 50 + 40 = 180.

Now we have two pairs of congruent angles,

the 40° angles, and the 90° angles.

Therefore, since two of the angles of one triangle are congruent to

two of the angles of the other triangle, we can say that yes, the

triangles are similar by the Angle-Angle Similarity Postulate (AA~).

Area of rectangular prism: Base x Height.

so 3x1/3x2/5=0.4 0r 2/5