The graph below represents a function.

what are the rate of change and the initial value of the function represented by the graph

A.the rate of change is 3 and the initial value is 5

B.the rate of change is 1/3 and the initial value is 5

C.the rate of change is 5 and the initial value is 3

D.the rate of change is 5 and the initial value is 1/3​

This question is of a topic called subset that is a part of set theory.

statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.

I assume the questioner has the basic understanding of set theory and what subsets are.

Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.

Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }"  that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set

{11, 13, 15} is not equal to set  { 11, 12, 13, 14, 15, 16, ... }.

statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.

statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.

Learn more about sets and subsets here https://brainly.com/question/17264325

#SPJ9

The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

More can be learned about exponent rules at https://brainly.com/question/11975096

#SPJ1

Answer:

\(\bold{y=3x-11}\)

Step-by-step explanation:

Begin with the equation \(y=mx+b\). Let's first find \(m\).

For each time \(x\) increases by 2 (the rows skip by 2), \(y\) increases by 6. Since the relationship is linear, if \(x\) were to increase by just 1 (half of 2), \(y\) would increase by 3 (since we halve each component). Therefore, \(m=3\).

To find \(b\) (the y-intercept), we plug in the first value of \(x\) we are given and notice the result. In this case, \(4 *3=12\). However, the first value of \(y\) is 1, so we must subtract 11 so that the first term is 1. Hence, \(y=3x+11\).

Step-by-step explanation:

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer:

give me brainliest first

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did this test and got this one correct.

A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

\($$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$\)

as population variance is unknown so we used sample variance

\($$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$\)

Now

\(\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$\)

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

\($$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$\)

To learn more about statistics visit:https://brainly.com/question/29093686

#SPJ4

Answer:

---------------------------------

Answer:

$582.68

Step-by-step explanation:

Total amount will be,

→ $266.63 + $317.29 + $62.78

→ 266.63 + 380.07

→ $646.7

Then the final price will be,

→ ($646.7 - 15%) + 6%

→ (646.7 - (646.7/100) × 15) + 6%

→ (646.7 - 97.005) + 6%

→ 549.695 + (549.695/100) × 6

→ 549.695 + 32.9817

→ 582.6767

→ $582.68

Hence, the answer is $582.68.

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

Read more about Degree of Polynomials at: https://brainly.com/question/1600696

#SPJ1

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

For more such questions on dedication, click on:

https://brainly.com/question/30160240

#SPJ8

Answer:

Step-by-step explanation:

Let's call the length of the field "L" and the width of the field "W".

We know that the area of the rectangular field is 800 square yards, so:

L x W = 800

We want to minimize the cost of the fencing, which is made up of two different types of material. Let's call the length of the side with the expensive material "x".

The cost of the expensive side is 9x, and the cost of the other three sides is 3(2L + 2W - x). This is because there are two lengths and two widths, but we're subtracting out the length of the expensive side (x) since we're already accounting for it separately.

So the total cost of the fencing is:

C = 9x + 3(2L + 2W - x)

Now we can use the area equation (L x W = 800) to solve for one of the variables. Let's solve for W:

W = 800/L

Now we can substitute this into our cost equation:

C = 9x + 3(2L + 2(800/L) - x)

Simplifying this equation:

C = 9x + 6L + 4800/L - 3x

C = 6L + 6x + 4800/L

To minimize this function, we can take the derivative with respect to L and set it equal to zero:

dC/dL = 6 - 4800/L^2 = 0

Solving for L:

L = 40

Now we can use the area equation to solve for W:

W = 800/40 = 20

Finally, we can use these values to find the length of the expensive side:

x = L = 40

So the minimum cost of the fencing is:

Cmin = 9x + 3(2L + 2W - x)

Cmin = 9(40) + 3(2(40) + 2(20) - 40)

Cmin = $660

Answer:true

Step-by-step explanation:

Answer:

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

Step-by-step explanation:

\(4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536\)

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

To prove this conjecture

\(4^1 = 4\\4^2 = 16\) unit digit = 6

hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1  to 8 )

A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.

In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.

Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.

If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.

The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.

Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.

Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.

This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.

For similar questions on probability

https://brainly.com/question/25870256

#SPJ11

Based on the information, we can infer that it is FALSE because it's not possible to construct a triangle with the measures of 4cm, 5cm and 9cm in length on its sides.

To find out if the statement is false or true, we must analyze the information on the lengths of the sides of the triangle and review the construction rules of a triangle to find out if its lengths have any condition.

In accordance with the above, we find that no triangle can be built with these lengths on its sides because, according to the Triangle Inequality Theorem, the sum of two of the sides of the triangle must be greater than the length of the third side. Therefore, if the sum of 4 + 5 results in 9, it is false that we can build a triangle with these measurements.

Note: This question is incomplete. Here is the complete information:

True or false.

Using this information, triangles can be constructed.

Learn more about triangles in: https://brainly.com/question/2773823

#SPJ1

Answer:

alternate interior angles are congruent

Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

Learn more about scatterplot on

https://brainly.com/question/6592115

#SPJ1

QUESTION 1

the solution is (-1,-5)

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

-y=5

y=3x-2

0=3x+3

3x=-3

x=-3/3

x=-1

Then, we use this value to find the other one

y=3x-2

y=3(-1)-2

y=-3-2

y=-5

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

x+6y=6

-6y=-2x+12

x=-2x+18

x+2x=18

x=18/3

x=6

Then, we use this value to find the other one

x+6y=6

6+6y=6

6y=6-6

y=0/6

y=6

Therefore, the solution is (6,0),

Answer:

the number of meters in the milky way

Step-by-step explanation:

becuse the world is infinite

The linear model that could be used to calculate cost of mailing a large envelope is L(x) = 0.88 + 0.2(x – 1) and used to calculate cost of mailing a package is P(x) = 1.71 + 0.17(x – 3). The weight at which the cost a large envelope and a package will cost the same amount to mail is 17 ounces.

Linear models are used to describe a continuous response variable as a function of one or more predictor variables. Let x be the weight in ounces and L be the cost of mailing a large envelope. Based on the provided information, the cost of mailing a large envelope increases with increasing weight. The cost of mailing one ounce is $0.88 and increased by $0.2 for each additional weight. Hence,

L(x) = 0.88 + 0.2(x – 1)

Let x be the weight in ounces and P be the cost of mailing a package. Based on the provided information, the cost of mailing a package remains the same for weight of 1 to 3 ounces at the cost of $1.71, and then increases by $0.17 for each additional weight. Hence,

P(x) = 1.71 + 0.17(x – 3)

The weight at which a large envelope and a package will cost the same amount to mail is determined by equating the two models.

L(x) = P(x)

0.88 + 0.2(x – 1) = 1.71 + 0.17(x – 3)

0.88 + 0.2x – 0.2 = 1.71 + 0.17x – 0.51

0.68 + 0.2 x = 0.17 x + 1.2

0.2x – 0.17x = 1.2 – 0.68

0.03x = 0.52

x = 17.33 ≈ 17 ounces

Note: The question is incomplete. The complete question probably is: Provided table indicates the U.S. Postal Rates for large envelopes and packages of different weights. a) Create a linear model that could be used to calculate the cost to mail a large envelope, given its weight in ounces. Use L to represent the cost to mail a large envelope and x to represent the envelope weight in ounces. Create a linear model that could be used to calculate the cost to mail a package, given its weight in ounces. Use P to represent the cost to mail a package and x to represent the package weight in ounces. Find the weight at which a large envelope and a package will cost the same amount to mail, assuming your linear models still apply to higher weights.

Learn more about Linear models:

https://brainly.com/question/28033207

#SPJ4

Answer:

90 feet

Step-by-step explanation:

To find the perimeter of the classroom, we need to calculate the distance between each pair of adjacent corners and add them up.

Using the distance formula, the distance between the first two corners is:

√[(-12 - (-12))^2 + (15 - (-9))^2] = √(0^2 + 24^2) = 24 feet

The distance between the second and third corners is:

√[(-12 - 9)^2 + (-9 - 15)^2] = √(21^2 + 24^2) ≈ 31.8 feet

The distance between the third and fourth corners is:

√[(9 - 9)^2 + (15 - (-9))^2] = √(0^2 + 24^2) = 24 feet

Finally, the distance between the fourth and first corners is:

√[(9 - (-12))^2 + (-9 - 15)^2] = √(21^2 + 24^2) ≈ 31.8 feet

Therefore, the perimeter of the classroom is:

24 + 31.8 + 24 + 31.8 = 111.6 feet ≈ 112 feet (rounded to the nearest foot)

So the closest option to this answer is 90 feet.

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

Read more about numbers at

https://brainly.com/question/20372424

#SPJ1

Answer:

Give me the questions and I'll edit my answer

Step-by-step explanation:

Answer:

what the question then I'll edit answer ;-;

Step-by-step explanation:

In order to avoid ambiguity, symbolic logic represents logical expressions by substituting symbols and variables for natural language, such as English. Statements with a truth value, or whether they are true or untrue, are referred to as logical expressions.

How should a symbolic message be written?

A letter, such as p, can represent a whole proposition in symbolic logic. For instance, it might symbolize the fact that a triangle has three sides. The plus sign in algebra connects two numbers to create a third number. In symbolic logic, a sign like the letter V joins two propositions to create a third one.

To learn more about Symbolic statement refer to:

https://brainly.com/question/28472775

#SPJ9

Answer:

24 apples

Step-by-step explanation:

set up the problem 6=0.25X. then divide 6 by 0.25 to get X by itself. 24 is the answer.

Answer:

Cool

Step-by-step explanation:

I'm from Puerto Rico and it is 57:08

Answer:

1/200

Step-by-step explanation:

the answer is that 0.005 is 1/200

Answer:

1/200

Step-by-step explanation:

If you calculate it out into a regular fraction, it will equal 5/1000.

Divide 5 and 1000 by 5 and you get 1/200.

Answer:

B. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6}

D. f(-1) = 6

Step-by-step explanation:

The question gives a table marking the different coordinate pairs for a function, where f(x) is y. The top row represents the x-values and the bottom row represents the y-values.

Domain

The domain of a function is the set of x-values that the graph covers. In this case, the x-values are all integers between -2 and 6. We can see this in the top row of the table. Answer choice B best represents this domain.

Solving for F(x)

F(x) represents a specific y-value, for example, f(-1) represents the y-value when x = -1. So, to test choice D, we need to find what y-value matches -1 on the table. The table shows that when x = -1, f(x) = 6. This means that answer choice D must be correct.