What is the answer to these questions??
Plz number them 1-5.
This is pt 1.

Answer:

put it in desmos.................

Answer:

180 meters

Step-by-step explanation:

56*2 + 34*2 = 180 meters

Answer:

  55 meters

Step-by-step explanation:

The length in meters is found by converting the units from feet to meters. The length in feet is found by computing the perimeter of a rectangle with the given dimensions.

__

The formula for the perimeter of a rectangle is ...

  P = 2(L +W)

For a rectangle with length L = 56 ft and width W = 34 ft, the perimeter is ...

  P = 2(56 ft +34 ft) = 2(90 ft) = 180 ft.

__

Each foot is 0.3048 meters. Multiplying that length by the number of feet gives the number of meters.

  180(1 ft) = 180(0.3048 m) = 54.864 m

Mr. Smith will need 55 meters of fencing.

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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In both the direct proof and the indirect proof, the statement a V b, ah, b → z ⇒ h V z holds true. We have h V z, proving the statement directly. ¬(h V z) being true leads to a contradiction, and we can conclude that h V z is true.

We will provide both a direct proof and an indirect proof for the statement: a V b, ah, b → z ⇒ h V z. The direct proof involves showing the statement directly based on its logical structure, while the indirect proof will assume the negation of the conclusion and derive a contradiction.

1. First, let's explain the direct proof:

Direct Proof:

To prove a V b, ah, b → z ⇒ h V z directly, we need to show that if both a and b are true or if either h or b is true and b implies z, then either h or z is true. Assume a V b is true. If a is true, then h V z is true since h can be true regardless of the truth value of z. If b is true, then b → z is true, which implies that h V z is also true. Therefore, in both cases, we have h V z, proving the statement directly.

2. Now let's explain the indirect proof:

Indirect Proof:

Assume the negation of the conclusion, ¬(h V z), is true. This means that both h and z are false. Since b → z is true, the only way for z to be false is if b is false as well. Thus, we have both h and b false. Since ah is true, it implies that h is true. But we assumed h is false, which leads to a contradiction. Therefore, ¬(h V z) being true leads to a contradiction, and we can conclude that h V z is true.

In both the direct proof and the indirect proof, we have shown that the statement a V b, ah, b → z ⇒ h V z holds true.

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Answer:

perimeter of rectangle = 2(L+W)

Step-by-step explanation:

after solving above equation

we get,

width of rectangle is 87

Answer:

x=-5

Step-by-step explanation:

-4(x-5)=40

-4x+20=40

-4x=40-20

x=20/-4

x=-5

Answer:

see below

Step-by-step explanation:

A: radius of 12 ft

    Changing to meter

 12 ft * .305 m/ ft =3.66 meter

The radius is 3.66 meters

The diameter is twice the radius = 2*3.66 =7.32 meters

The circumference is

C = pi*d = 3.14 * 7.32 =22.9848 = 22.98 meters

B diameter is 7.5 meters

Pool B has a bigger diameter

C = pi * d = 3.14 * 7.5m = 23.55 meters

The difference is .57 meters

Answer:

7.32

B

Larger/greater

0.57

Step-by-step explanation:

Diameter = 2 × radius

= 2 × 12 = 24 feet

24 × 0.305 = 7.32 meters

7.5 > 7.32

So the diameter of pool B is greater

Difference in circumferences:

(3.14 × 7.5) - (3.14 × 7.32)

23.55 - 22.98

0.57 meters

Answer:

One possible expression that meets the given requirements is:

(2x)/(x+1) = (2x/[(x-2)(x-3)]) / ([(x+1)/(x-2)(x-3)])

This expression simplifies to 2x/(x+1) when x is not equal to -1, 0, 2, or 3, as required.

Explanation: We can rewrite 2x/(x+1) as (2x/(x-2)(x-3)) * ((x-2)(x-3)/(x+1)). The first term in this expression is a division of two rational expressions, while the second term is a multiplication of two rational expressions. Then, we can simplify the first term by cancelling the (x-2)(x-3) terms in the numerator and denominator, which gives 2x/[(x-2)(x-3)]. We can also simplify the second term by expanding the denominator, which gives (x-2)(x-3)/(x-2)(x-3)(x+1) = 1/[(x-2)(x-3)] * 1/(x+1). Then, we can combine the two simplified terms to get the expression given above.

Step-by-step explanation:

By using slope intercept , These were the two points on the line: (0,-2) and (7,2).

A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.

We may use the slope-intercept form of a line, which is y=mx+b where m is the slope and b is the y-intercept, to graph the line y=4/7x-2. Therefore, m=4/7 and b=-2.

These variables allow us to plot two spots along the line. Since the line crosses the y-axis at (0,-2) (the y-intercept), that location will be one of the points.

We can utilize the slope of 4/7 to locate a different point along the line. This indicates that we advance up 4 units in the y direction for every 7 units we move to the right (in the x direction). We can therefore move 7 units to the right and then 4 units up, starting at (0,-2), to reach (7,2).

So now we have two points on the line: (0,-2) and (7,2). These points can be plotted on a coordinate plane, and then a straight line can be drawn through them to create the graph.

Graph given below:

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Answer:

The population is 34,000. The sample is 2,000

Step-by-step explanation:

Population in statistics can be explained as the group or set of all elements which are of particular interest to a researcher or a study. In the scenario above, the research interest concerns customers who pay with a debit card, whose number amounts to 34,000, this value refers to the population. The sample is referred to as the subset of the population or larger sample, the sample from the study corresponds to number of debit card users who were selected at random to participate in the survey. This value is 2000.

Given:

The length of a rectangle is 3 inches less than three times its width.

The perimeter of the rectangle is 34 inches.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, the length of a rectangle is 3 inches less than three times its width.

Length of the rectangle = 3x-3

Now, perimeter of the rectangle is

\(Perimeter=2(Length + Width)\)

\(Perimeter=2(3x-3+x)\)

The perimeter of the rectangle is 34 inches.

\(34=2(4x-3)\)

\(34=8x-6\)

\(34+6=8x\)

\(40=8x\)

Divide both sides by 8.

\(\dfrac{40}{8}=x\)

\(5=x\)

The value of x is 5. So, width of the rectangle is 5 inches.

\(Length=3x-3\)

\(Length=3(5)-3\)

\(Length=15-3\)

\(Length=12\)

Therefore, the length of the rectangle is 12 inches and the width of the rectangle is 5 inches.

We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.

We have to find the expression for another side of the rectangle i.e it's width

We will use the formula of area of rectangle to find the expression :

Therefore,

‎ㅤ‎ㅤ➝ A = l × w

‎ㅤ‎ㅤ➝ x² - 15x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w

‎ㅤ‎ㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w

‎ㅤ‎ㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )

‎ㅤ‎ㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )

To calculate the center line of a control chart, you compute the average of the mean for every period.

A control chart is a graphical representation of a process's performance over time. It is utilized to determine whether a process is in control (i.e., consistent and predictable) or out of control (i.e., unstable and unpredictable).

The center line is used to represent the procedure average on a control chart. When the procedure is in control, the center line is the process's average. When the process is out of control, it can be utilized to assist in identifying where the out-of-control signal began.

The control chart is a valuable quality control tool because it helps detect process variability, identify the source of variability, and determine if process modifications have improved process quality. Additionally, the chart can serve as a visual guide, alerting employees to process variations and assisting them in responding appropriately.

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Answer:

it may be 30

Step-by-step explanation:

becasue 6x2 is 12 half hour $3 and kayak 15 all that is 30

Answer:

it's 30

Step-by-step explanation:

15 + 6 + 6 + 3

15+15

15 was the down payment, plus six dollars for the hours he was there and then three dollars for the half hour.

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

\(\tan\theta =\dfrac{Opposite}{Adjacent}\)

In the given triangle,

\(\tan (60^\circ) =\dfrac{18}{x}\)

\(\sqrt{3}=\dfrac{18}{x}\)

\(x=\dfrac{18}{\sqrt{3}}\)

\(x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}\)

On further simplification, we get

\(x=\dfrac{18\sqrt{3}}{3}\)

\(x=6\sqrt{3}\)

\(x=10.3923\)

\(x\approx 10.4\)

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

A test for two proportions and the null hypothesis would be the best test statistic to assess the variance in bacon consumption from 2011 to 2016.

The null hypothesis for the test is that the proportion of adults who consumed at least 3 pounds of bacon in 2011 is equivalent to the proportion of adults who consumed at least three pounds of bacon in 2016. A potential explanation would be that the percentage of adults who ate at least 3 pounds of bacon in 2011 and 2016 differed.

Additionally, the test statistic may be likened to a chi-squared distribution with one degree of freedom; hence, it is necessary to compute the test statistic's p-value in order to establish whether the null hypothesis can be ideally rejected or not.

Complete Question:

In 2011, 17 percent of a random sample of 200 adults in the United States indicated that they consumed at least 3 pounds of bacon that year. In 2016, 25 percent of a random sample of 600 adults in the United States indicated that they consumed at least 3 pounds of bacon that year.  Assuming all conditions for inference are met which is the most appropriate test statistic to determine variation of bacon consumption from 2011 to 2016 ?

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(a) The smallest positive value of n for which a simple graph on n vertices and 2n edges can exist is 3. An example of such a graph for the smallest n is a triangle, where each vertex is connected to the other two vertices.

In this case, we have 3 vertices and 2n = 2 * 3 = 6 edges, which satisfies the condition.

To determine the smallest positive value of n, we need to consider the conditions for a simple graph:

1. Each vertex must be connected to at least one other vertex.

2. There should be no multiple edges between the same pair of vertices.

3. There should be no self-loops (edges connecting a vertex to itself).

Considering these conditions, we start by trying with the smallest possible n, which is 3. We construct a graph with 3 vertices and connect each vertex to the other two vertices, resulting in a triangle. This graph satisfies the conditions and has 2n = 2 * 3 = 6 edges.

(b) To prove that G is connected, we will use a proof by contradiction.

Assume that G is not connected, meaning it has two or more components. Let's consider two distinct components, C1 and C2.

Since G has at most two components, each component can have at most 10 vertices (20 vertices / 2 components). Let's assume C1 has x vertices and C2 has y vertices, where x + y ≤ 20.

Now, let's consider two vertices u and v, where u belongs to C1 and v belongs to C2. According to the given condition, deg(u) + deg(v) > 19.

Since deg(u) represents the degree of vertex u, it means the number of edges incident to vertex u. Similarly, deg(v) represents the degree of vertex v.

In C1, the maximum possible degree for a vertex is x - 1 (since there are x vertices, each connected to at most x - 1 other vertices in C1). Similarly, in C2, the maximum possible degree for a vertex is y - 1.

Therefore, deg(u) + deg(v) ≤ (x - 1) + (y - 1) = x + y - 2.

But according to the given condition, deg(u) + deg(v) > 19. This contradicts the assumption that G has at most two components.

Hence, our assumption that G is not connected is false. Therefore, G must be connected.

In conclusion, if a simple graph G has 20 vertices, at most two components, and every pair of distinct vertices satisfies the inequality deg(u) + deg(v) > 19, then G is connected.

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The volume of the triangular prism is 420 cubic centimeters.

To find the volume of a triangular prism, you need to multiply the base area of the triangle by the height of the prism.

The triangular base has a length of 6 cm and a width of 7 cm and the height of the prism is 10 cm.

First, let's calculate the area of the triangular base:

Area of a triangle = (base × height) / 2

Area = (6 cm × 7 cm) / 2

Area = 42 cm²

Now, multiply the area of the triangular base by the height of the prism to find the volume:

Volume = Area × height

Volume = 42 cm² × 10 cm

Volume = 420 cm³

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The volume of the triangular prism is: 420 cm³

The formula to calculate the volume of a triangular prism is:

Volume = base area × height of the prism,

The parameters of the prism are given as:

Base Length = 10 cm

Base width = 7 cm

Height of the prism = 6 cm.

Thus:

Area of a base = length * width = 10 * 7

Area of a base = 70 cm²

Thus:

Volume of prism = 70 cm² * 6 cm

Volume of prism = 420 cm³

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Answer:i think its 115 degres

Step-by-step explanation:

Answer:

If two lines are parallel they have the same slope, if they are perpendicular they have opposite slopes.

Step-by-step explanation:

Example of parallel lines: y=3x+10  &  y=3x-4

Example of perpendicular lines: y=2x-9  &  y=-1/2x+1

If it is impossible for events A and B to occur simultaneously, the events are said to be mutually exclusive. For such events, P(A or B) is equal to the sum of the individual probabilities of events A and B.

In other words, if A and B are mutually exclusive events, the probability of A or B occurring is equal to the sum of the probabilities of A and B individually.

Mathematically, P(A or B) = P(A) + P(B).

This holds true because when two events are mutually exclusive, the occurrence of one event excludes the possibility of the other event happening at the same time. Therefore, there is no overlap in the outcomes, and we can simply add their probabilities to calculate the probability of either event occurring.

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Answer:

3

Step-by-step explanation:

You would do 3/5 =6 then do 13/7 = 18/6=3

Answer:

r=6

Step-by-step explanation:

(r-(-3))/(2-(-1)) = (r+3)/3

r+3/3 = 3/1

cross-multiply:

r+3 = 9

r = 6

Check:

6-(-3)/2-(-1) should equal 3

9/3 = 3

checks out correctly

Answer:

r = 6

Step-by-step explanation:

Formula

m = (y2 - y1)/(x2 - x1)

Givens

x1 = - 1

x2 = 2

y1 = - 3

y2 = r

m = 3

Solution

3 = (r - -3) / (2 - - 1)         Combine

3 = (r + 3) / 3                 Multiply both sides by 3

9 = r + 3                       Subtract 3 from both sides

6 = r + 3 - 3

6 = r

Answer:

12 power 12

Step-by-step explanation:

Since the have the same base 16-4=12

So its 12 to the twelfth power

Answer:

12 Power of 12

Step-by-step explanation:

i forgor

The type of sampling being used in this scenario is systematic sampling.

Systematic sampling refers to the process of selecting a sample from a population with a specified pattern or system. In this type of sampling, a pattern is determined beforehand, and then data are collected by choosing every n^th individual.

Systematic sampling is useful for large sample sizes since it simplifies the process of data collection. It also ensures that the sample is representative of the entire population, making the results more accurate. This type of sampling is widely used in various fields like research, surveying, and public opinion polling to ensure that the sample is random and unbiased.

In this case, the ushers place a survey card on every sixth seat, which is an example of systematic sampling. Therefore, systematic sampling is the type of sampling being used in this question.

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Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ]  inches    [ 1 ft= 12 inches]

= 63 inches      

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches    

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

\(\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.\)

Hence, the height of tree = 15 ft. 6 inches

Answer:

Your answer would be the letter a

Answer:

Step-by-step explanation:

180 -133 = 47

180-142=38

38+47= 85

180 - 85 = 95

180 - 95= 85

The answer is A

Answer:

a) The triangles are similar, and the ratio of the similar sides are both equal to 1:3. b) the scale factor from triangle abc to def is 3 because if you divide the longer corresponding side length from triangle def by the side of triangle abc, you will get 3. c) x is equal to 7.5 cm. Using the scale factor, you can just multiply 3 by 2.5.

Step-by-step explanation:

a) If you look at the two triangles, you can see that they look similar. Side AB looks similar to side DE, and the side lengths are 1 and 3. Therefore, the scale will be 1:3. b) If you divide the longer corresponding side length from triangle def by the side of triangle abc, you will get 3. c) x is equal to 7.5 cm because the scale factor is 3, which means you have to multiply the smaller side by 3.

Hope you understand!

Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

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