Find the value of both variables and find all angle measures.

The option that represents the distance between the two points on the graph shown above would be = 3.5. That is option B.

The formula that can be used to calculate the distance between the two points;

= √ (x2-x1)²+(y2-y1)²

where;

X1= -3

x2 = 0.5

y1 =0

y2 = 0

= √(-3-0.5)²

= √(-3.5)²

= √12.25

= 3.5

Therefore the distance between the given points = 3.5

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The number of such functions are 16,807

The number of functions that are injective are 5.

The number of functions that are surjective are 20.

The number of functions that are bijective are one.

Functions are an essential concept in mathematics and are used to describe relationships between sets. In this question, we are interested in functions from a set of five elements {A, B, C, D, E} to a set of seven elements {1, 2, 3, 4, 5, 6, 7}. Specifically, we want to know how many such functions exist and what properties they have.

To answer the first question, we need to determine how many functions are possible. A function from set A to set B assigns each element of A to a unique element of B. In this case, we have five choices for where to send each element of A, and there are seven possible choices for the destination, so there are a total of 7⁵ = 16,807 possible functions.

Next, we consider the property of injectivity, which means that each element of the codomain (set B in this case) is assigned to by at most one element of the domain (set A). In other words, no two distinct elements of A are mapped to the same element of B.

Next, we consider the property of surjectivity, which means that each element of the codomain is assigned to by at least one element of the domain. In other words, every element of B is the image of at least one element of A under the function.

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Answer:

Answer is B

Step-by-step explanation:

Hope this helps

Answer: Slope: 0

              y-intercept: (0,7)

Step-by-step explanation:

Since there are six potential combinations and each has an equal chance of being picked, each result has a probability of 1/6, or around 0.167.

The likelihood that an event will occur or that a proposition is true is determined by a field of mathematics known as probability theory. An event's probability is expressed as a number between 0 and 1, where 1 indicates certainty and roughly 0 indicates how likely it is that the event will occur. A probability is a numerical expression of the likelihood or potentiality of a given event. Probabilities can alternatively be stated as integers between 0 and 1, percentages between 0% and 100%, or as percentages between 0% and 100%. the fraction of times that all equally probable alternatives occur compared to all potential outcomes.

The probability model includes 6 possible outcomes, and each one has an exact chance of 0.167, or 1/6. List all potential pairs of fruit bars that demonstrate this:

berries and apples

cherries and apples

Apple and pears, berries and cherries, pears and apples

Since there are six potential combinations and each has an equal chance of being picked, each result has a probability of 1/6, or around 0.167.

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To find the limit of the given expression as x approaches 0, we will use l'Hospital's Rule because the expression is in the indeterminate form 0/0. The given expression is: lim (x→0) [(√(1 + 9x) - √(1 - 2x))/x]

First, let's find the derivative of the numerator and denominator with respect to x. Numerator's derivative: d/dx [√(1 + 9x) - √(1 - 2x)] = (9/2) * (1/√(1 + 9x)) - (2/2) * (1/√(1 - 2x)) Denominator's derivative: d/dx [x] = 1

Now, apply l'Hospital's Rule and find the limit of the derivative: lim (x→0) [(9/2) * (1/√(1 + 9x)) - (2/2) * (1/√(1 - 2x))]

As x approaches 0: = (9/2) * (1/√(1 + 9*0)) - (2/2) * (1/√(1 - 2*0)) = (9/2) * (1/√1) - (2/2) * (1/√1) = (9/2) - (2/2) = (9 - 2)/2 = 7/2

So the limit of the given expression as x approaches 0 is 7/2.

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Answer:

Step-by-step explanation:

sorry, kinda messy cuz i was using my mouse to write

Answer:

Step-by-step explanation:

4x4=16

16x4=64

its easy

The positive factors of 100 are 1,2,4,5,10,20,25,50,100.

In mathematics, a factor is a divisor of a given integer that divides it fully without leaving any remainder. We can use numerous methods to find the factors of a number, such as the division method and the multiplication approach.

In real life, we employ factors to split anything into equal rows and columns, compare prices, exchange money, and so on. We can use the division and multiplication methods to get the factors of a number.  

A number's factors can be good or negative. Consider the components of 8. Because 8 is divisible by 1, 2, 4, and 8, the positive factors of 8 are 1, 2, 4, and 8.

The factors of 100 are ,2,4,5,10,20,25,50,100 as they all divide the number 100 without leaving any remainder.

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It cost Tom $8,334 to buy the stock.

Tom's net gain or loss is $-666.

Tom's annual rate of return is -8.0%.

We have,

To calculate Tom's cost to buy the stock, we multiply the number of shares by the cost per share and then add the commission paid to the broker:

Cost = (750 * 11.06) + 12 = $8,322 + $12 = $8,334

To calculate Tom's proceeds from selling the stock, we multiply the number of shares by the price per share and then subtract the commission paid to the broker:

Proceeds = (750 * 10.24) - 12 = $7,680 - $12 = $7,668

To calculate Tom's net gain or loss, we subtract the cost from the proceeds:

Net gain/loss = $7,668 - $8,334 = -$666

Tom has a net loss of $666, meaning he lost money on this investment.

To calculate Tom's annual rate of return, we need to know how long he held the stock. Let's assume he held the stock for one year. Then, his rate of return is:

Rate of return = (Proceeds - Cost) / Cost * 100% * (1 / Time)

where Time is the time period for which the rate of return is being calculated (in years).

Plugging in the values we have:

Rate of return = (-$666 / $8,334) * 100% * (1 / 1) = -8.0%

Tom's annual rate of return is -8.0%, meaning he lost 8% of his investment over the course of one year.

Thus,

It cost Tom $8,334 to buy the stock.

Tom's net gain or loss is $-666.

Tom's annual rate of return is -8.0%.

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Answer: 40

Step-by-step explanation:

y = 2x (4 + x) - 2

Substitute x with 3:

y = 2(3) (4 + 3) - 2

Simplify:

y = 2(3) (7) - 2

y = 6(7) - 2

y = 42 - 2

y = 40

Answer:

C

Step-by-step explanation:

SLope is defined as  rise / run     there is zero run for this vertical line , there fore it has an undefined slope ( you cannot have zero in the denominator)

Answer:

7 * 5 and -47

Step-by-step explanation:

[tex]7*5=35[/tex]

[tex]35-47=-12[/tex]

Hope This Helps :)

Pls Brainliest...

Answer:

-7 and -5

Step-by-step explanation:

The easiest way to solve this problem is to list the simplest ways to get 35. These are the factors.

7*5=35

1*35=35

1+35 gives us 36, and 35-1 gives 34. So, 1 and 35 can not be our mystery numbers.

7-5 given 2, and 7+5 gives 12. Yay! We found a way to get 12 with numbers that multiply to 35!

But wait! This gives positive 12, not negative. Recall that a negative plus a negative will give a negative, and a negative times and negative will give a positive. So, by making 7 and 5 negative, we get:

-7*-5=35

-7+(-5)=-12

-7 and -5 are the answers.

The value of the given 8/9 / 3 1/5 is 18/5.

We are given that;

8/9 / 3 1/5

Now,

By cross multiplication

= 8/9 / 16/5

= 9/8 * 16/5

= 9/1 * 2/5

= 18/5

Therefore, by the algebra the answer will be 18/5.

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The perimeter of the ΔCOD is equal to 33 inches.

In Mathematics and Geometry, a parallelogram simply refers to a four-sided geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that is composed of two (2) equal and parallel opposite sides.

Since side AB is parallel to side DC and AD is parallel to side BC, we can logically deduce that quadrilateral ABCD is a parallelogram. Additionally, the diagonals of this parallelogram bisect each other at the midpoint O;

OC ≅ OD

OC = 1/2 × (AC) = 1/2 × 20 = 10

OD = 1/2(BD) = 1/2 × 20 = 10

Now, we can calculate the perimeter of triangle COD as follows;

Perimeter of triangle COD = OC + OD + CD

Perimeter of triangle COD = 10 + 10 + 13

Perimeter of triangle COD = 33 inches.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The system of equations associated with the augmented matrix [6 3 6 -2 -4 -9] is 6x + 3y + 6z = -2 and -4x - 9y + z = -9. The system of equations associated with the augmented matrix [3 2 1 11; 2 1 3 15; 0 2 -1 -2] is 3x + 2y + z = 11, 2x + y + 3z = 15 and -2x + 4y - z = -2.

For the first augmented matrix, the system of equations would be

6x + 3y + 6z = -2

-4x - 9y + z = 1

The coefficients of x, y, and z can be found in the first three columns of the matrix, and the constants are in the last column. The system of equations can be written by using these coefficients and constants.

For the second augmented matrix, the system of equations would be

3x + 2y + z = 11

2x + y + 3z = 15

-2x + 4y - z = -2

Again, the coefficients of x, y, and z can be found in the first three columns, and the constants are in the last column. The system of equations can be written using these coefficients and constants.

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--The given question is incomplete, the complete question is given

"Write the system of equations associated with each augmented matrix. Do not solve. 6 3 6 -2 -4 -9 1) a) 6x 3y  [ 3 2 1 11 [2 1 3 15. 02 42 -1 -2 3 15 "--

Answer:

b = 12

Step-by-step explanation:

If we substitute a = 6 and simplify the given equation, we get:

6(4x 10) = 24x + 5b

Simplifying the left-hand side, we get:

24x + 60 = 24x + 5b

Subtracting 24x from both sides, we get:

60 = 5b

Dividing both sides by 5, we get:

12 = b

Therefore, the values of a and b are a = 6 and b = 12.

Answer: Creo que la respuesta es x+3

Espero haber ayudado :D

The calculated value of the length of AB is 3π

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

central angle = 20 degrees

radius = 27 units

The length of AB is the length of the arc

So, we have

AB = central angle/360 * 2πr

substitute the known values in the above equation, so, we have the following representation

AB = 20/360 * 2π * 27

This gives

AB = 3π

Hence, the length is 3π

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Therefore the base of the triangle is 8 centimeters.

The area of the triangle is calculated by using the formula listed below,

Area of the triangle = [tex]\frac{1}{2} * base * height[/tex]

From the given data area = 28.8 square centimeters

Height = 7.2 centimeters

Therefore to find the base,

[tex]28.8 = \frac{1}{2} * base * 7.2[/tex]

base = [tex]\frac{28.8 * 2}{7.2}[/tex]

base = 8 centimeters

Therefore the base of the triangle is 8 centimeters.

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Complete question:

The area of the triangle below is 28.8 square centimeters What is the length of the base? 7.2 cm

If Joe covers the cylindrical planter having radius of 4 inches and height of  6 inches, then amount of moss required is 251.2 inches square.

In order to find the amount of moss required to cover the cylindrical-planter, we need to find the surface-area of the planter,

The formula for the Surface-Area(S) of a cylinder-planter is:

⇒ S = 2πrh + 2πr², Where: r denotes radius base, h denotes height  cylinder-planter,

We know that radius of planter is 4 inches, height is 6 inches,

Substituting the values,

We get;

S = 2×π×(4)×(6) + 2×π×(4)²

S = 48π + 32π

S = 80π = 80×3.14 = 251.2 inches square.

Therefore, the surface area of the cylindrical planter is 251.2 square inches. This is the amount of moss that Joe will need to cover it.

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[tex]\qquad \textit{Centroid of a Triangle} \\\\ \left(\cfrac{x_1+x_2+x_3}{3}~~,\cfrac{y_1+y_2+y_3}{3}~~ \right)\quad \begin{cases} A(\stackrel{x_1}{2},\stackrel{y_1}{4})\\ B(\stackrel{x_2}{3},\stackrel{y_2}{-2})\\ C(\stackrel{x_3}{-4},\stackrel{y_3}{0}) \end{cases} \\\\\\ \left(\cfrac{2+3-4}{3}~~,~~\cfrac{4-2+0}{3} \right)\implies \left( \cfrac{1}{3}~~,~~\cfrac{2}{3} \right)[/tex]

The probability of at most 8 of the students being full-time is approximately 0.988, or 98.8%.

To answer this question, we can use the binomial distribution function in R. The formula for the binomial distribution is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:
- P(X=k) is the probability of getting exactly k successes
- n is the total number of trials
- p is the probability of success in each trial
- (n choose k) is the number of ways to choose k items from a set of n items

(a) To find the probability that exactly 6 of the students will be full-time, we can use the following command in R:

dbinom(6, 10, 0.6)

This will give us the probability of getting exactly 6 full-time students out of a random sample of 10 students, assuming that the probability of a student being full-time is 0.6 (since there are 30 full-time students out of a total of 50 students).

The output of this command is:

[1] 0.2508227

So the probability of exactly 6 of the students being full-time is approximately 0.251, or 25.1%.

(b) To find the probability that at most 8 of the students will be full-time, we can use the following command in R:

pbinom(8, 10, 0.6)

This will give us the probability of getting 8 or fewer full-time students out of a random sample of 10 students.

The output of this command is:

[1] 0.9884969

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There are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

Since each doll has four exclamations, the total number of distinct dolls can be calculated as the number of ways to choose four statements from a set of 270 statements, which is given by the formula for combinations:

C(270, 4) = 270! / (4! * (270 - 4)!) = 4,012,060

Therefore, there are 4,012,060 distinct dolls with four exclamations.

To calculate the number of distinct dolls that contain the undesirable statement among their four exclamations, we can use the formula for combinations again, this time choosing three statements from the remaining 269 statements and one statement from the undesirable statement:

C(269, 3) * C(1, 1) = 269! / (3! * (269 - 3)!) * 1 = 9,405,814

Therefore, there are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

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Answer:

a) 1/2

b) 7

Step-by-step explanation:

COS 60° = 1/2

COS 60° = 8 squared + 5 squared - b square = 1/2

2 x 8 x 5

a) 1/2

b) 7

Answer: The circumference of the circle is approximately 12.57 meters

Step-by-step explanation:

The circumference of a circle can be found by multiplying its diameter by π (pi), or by multiplying twice the radius by π.

In this case, the radius is 2 meters, so twice the radius is 4 meters.

Therefore, the circumference of the circle is:

C = 2πr = 2π(2) = 4π ≈ 12.57 meters

So the circumference of the circle is approximately 12.57 meters.

Answer:

The answer for Circumference is 12.56m

Step-by-step explanation:

C=2PIr

C=2×2×3.14

C=12.56m

Answer:

$2.71 + 4j = $6.75

j = $1.01

Step-by-step explanation:

$2.71 + 4j = $6.75

4j = 6.75 - 2.71 = 4.04

j = 4.04/4 = $1.01

Answer:

$6.75 = $2.71 + 4j

j = $1.01

Step-by-step explanation:

The total amount of money Ava spent was $6.75. We can make this one side of an equation.

The other side of the equation can be what Ava bought for that $6.75. We know that she bought $2.71 of oranges and 4 juice bottles, so we can add these on the other sides of the equation.

[tex]\$6.75 = \$2.71 + 4j[/tex]

To solve this equation for [tex]j[/tex], we can first subtract $2.71 from both sides.

[tex]\textrm{ } \ \$6.75 = \$2.71 + 4j\\\underline{-\$2.71} \ \ \ \ \underline{-\$2.71 \ \ \ \ }[/tex]

  [tex]\$4.04 = 4j[/tex]

Finally, we can divide both sides by 4.

[tex]\$4.04 = 4j\\\overline{\ \ \ 4\ \ \,} \ \ \ \ \overline{\: 4 \:}[/tex]

[tex]\$1.01 = j[/tex]

[tex]\boxed{j = \$1.01}[/tex]

The surface area of the triangular prism with given dimensions in the figure is equal to 144 square centimeters.

Surface area of the triangular prism

= Area of the two triangles + Area of the three rectangular faces

In triangles,

3, 4, 5 are Pythagorean triplets.

It is a right angled triangle.

Area of triangle

= ( 1/2) × base × height

= ( 1/2) × 4 × 3

= 6 cm²

Area of two triangles = 2 × 6

                                   = 12 cm²

Area of rectangle = length × width

Rectangle 1 ,

length = 11 cm , width = 5cm

Rectangle 2 ,

length = 11 cm , width = 4cm

Rectangle 3 ,

length = 11 cm , width = 3cm

Area of three rectangles = ( 3 + 4+ 5 ) × 11

                                         = 132 cm²

Surface area of the triangular prism = 12 + 132

                                                            = 144 square centimeters

Therefore, the surface area of the triangular prism is equal to 144 square centimeters.

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Thus, there is a 1.96% chance of selecting the jack of clubs when drawing a single card from a standard deck.

The probability of selecting a jack and a club from a standard deck of 52 cards can be calculated by first determining the number of jacks and clubs in the deck. There are four jacks and 13 clubs in a standard deck, so the probability of selecting a jack and a club would be the product of the probability of selecting a jack (4/52) and the probability of selecting a club (13/51).

This can be written as:

P(jack and club) = P(jack) * P(club|jack not drawn)

= (4/52) * (13/51)

Simplifying this equation, we get:

P(jack and club) = 1/13 * 13/51

= 1/51

Therefore, the probability of selecting a jack and a club from a standard deck of 52 cards is approximately 0.0196 or 1.96%. This means that for every 51 times you draw a card from the deck, you can expect to get a jack and a club only once.

It's worth noting that the probability of selecting any two specific cards from a standard deck is the same, regardless of whether they are a jack and a club or any other combination.

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An equation for y in the terms of x is y = 16/x and the x value when y = 25 is 16/25

An inverse proportion is represented as

k = xy

So, we have

xy = 1 * 16

Evaluate

xy = 16

So, we have

y = 16/x

We have

xy = 16

This means that

25x = 16

So, we have

x = 16/25

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