identify the graph of b(x)=8x^2

compare the graph of b to the graph of f(x) =x^2

The number of edges in various cycle graphs: C3 (triangle) has 3 edges, C4 (square) has 4 edges, C5 (pentagon) has 5 edges, and so on.  adjacent vertices in the cycle graph are never assigned the same color, we can conclude that Ck has a chromatic number of 2.

(a) The cycle graph Ck with k vertices has k edges. Each vertex is connected to the two adjacent vertices in the cycle, resulting in k edges in total. This can be observed by counting the number of edges in various cycle graphs: C3 (triangle) has 3 edges, C4 (square) has 4 edges, C5 (pentagon) has 5 edges, and so on.

(b) If k is even, then the cycle graph Ck has an even number of vertices. In such a case, we can color the vertices alternatively using two colors. Starting with any vertex, we can assign one color to it and then alternate colors as we move along the cycle. Since adjacent vertices in the cycle graph are never assigned the same color, we can conclude that Ck has a chromatic number of 2.

(c) If k is odd, then the cycle graph Ck has an odd number of vertices. We can prove that Ck has a chromatic number of 3 by contradiction. Assume that Ck can be colored using only two colors, let's say red and blue. Starting with any vertex, we assign red to it. As we move along the cycle, we alternate colors, so every other vertex is blue. However, since k is odd, we will reach the starting vertex after an odd number of steps, and it should be blue according to our coloring scheme. This contradicts our assumption that Ck can be colored with only two colors. Hence, Ck requires at least three colors, leading to a chromatic number of 3.

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The percent of area under a normal curve between the mean and −1.18 standard deviations is 38.10% and between z=−1.6 and z = 0.7 is 70.32% and the​ z-score that best satisfies the condition is z=−0.4.

To find the percent of area under a normal curve between the mean and −1.18 standard deviations from the mean, we need to use a standard normal distribution table or calculator.

The area to the left of −1.18 standard deviations is 0.1190, and the area to the left of the mean is 0.5000. To find the area between them, we subtract the smaller area from the larger area:

0.5000 - 0.1190 = 0.3810

Therefore, the percent of area under a normal curve between the mean and −1.18 standard deviations is 38.10%.

To find the percent of the total area under the standard normal curve between z=−1.6 and z = 0.7, we again need to use a standard normal distribution table or calculator.

The area to the left of −1.6 is 0.0548, and the area to the left of 0.7 is 0.7580. To find the area between them, we subtract the smaller area from the larger area:

0.7580 - 0.0548 = 0.7032

Therefore, the percent of the total area between z=−1.6 and z = 0.7 is 70.32%.

To find the​ z-score that best satisfies the condition that 36% of the total area is to the left of z, we need to use a standard normal distribution table or calculator.

We look for the z-score that corresponds to a cumulative probability of 0.36. This is approximately −0.4, which means that 36% of the total area under the standard normal curve is to the left of z=−0.4. Therefore, the​ z-score that best satisfies the condition is z=−0.4.

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Answer:

The second choice: it is -1/2 through the line

Explanation:

First, let us calculate the slope of the line. Note that points A, B and O lie on the same line, and therefore, the lines they form have the same slope (slope of AB is the same as the slope of BO).

The slope of the line is

Hence, the slope of the line is -1/2 and therefore the second answer choice is the correct answer!

The probability for the given mean and standard deviation with X is less than 53.0 is equal to 0.0401 or 4.01%  approximately.

Mean 'μ' = 60.0

Standard deviation 'σ' = 4.0.

To find the probability that X is less than 53.0,

Use the standard normal distribution.

First, standardize the value of 53.0 using the mean and standard deviation ,

The standardization formula is,

Z = (X - μ) / σ

Where,

Z is the standardized value (Z-score)

X is the value of interest

μ is the mean

σ is the standard deviation

Plugging in the values,

Z = (53.0 - 60.0) / 4.0

⇒Z = -7 / 4

⇒Z = -1.75

Now, the probability associated with this standardized value using a standard normal distribution calculator.

Using a standard normal distribution calculator,

The probability corresponding to Z = -1.75.

The area under the curve to the left of the Z-score.

The probability of X being less than 53.0 can be found as P(X < 53.0) = P(Z < -1.75).

The Z-score -1.75 in the standard normal distribution calculator, the probability is approximately 0.0401.

Therefore, the probability that X is less than 53.0 is approximately 0.0401 or 4.01%.

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The above question is incomplete, the complete question is:

The mean is μ = 60.0 and the standard deviation is σ = 4.0.

Find the probability that X is less than 53.0.

0.0401

0.0802

0.9599

0.5589

Answer:

a) is the correct answer.

Answer: She needs to be at least 3 feet 10 in.

Step-by-step explanation: You need to figure out how many feet are in 46 inches.

A unit conversion expresses the same property as a different unit of measurement.

Mrs. Bull needs to be 3 feet 8 inches to participate in the Glenwood Christman Laser Tag Party.

A unit conversion expresses the same property as a different unit of measurement.

We have,

46 inches.

We need to convert it into feet.

12 inches = 1 foot

Multiplying by 46/12 on both sides we get,

46/12 x 12 inches = 46/12 feet

46 inches = 3.8 feet

This means 46 inches is 3 feet 8 inches.

Thus Mrs. Bull needs to be 3 feet 8 inches to participate in the Glenwood Christman Laser Tag Party.

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Answer:

do you have a picture of the graph??

if not, the canoe is 6$ and hour and the equation to solve was

36=4x+12

Step-by-step explanation:

Multiplying a negative and a positive equals a negative: (-) × (+) = (-)

\( - 9 < - \frac{ 1}{5} x\)

Multiplying both side of the inequality by -5 and flip the inequality sign:

\(( - 5) \times ( - 9) = 45\)

\(45 > x\)

Now, swap the sides of the inequality and flip the inequality sign:

\(x < 45\)

Answer:

15 girls

Step-by-step explanation:

Girls  : Boys

5              3

To get to 9 boys multiply by 3

Girls  : Boys

5*3         3*3

15               9

There are 15 girls

Answer:

5/9

Step-by-step explanation:

brainliest when possible.

The words need not be English language words  142506

What is permutation and combination?

A set of elements can be divided into subsets in two different ways: combination and permutation.

                          The components of the subset may be arranged in any order when combined. The components of the subset are listed in a permutation in a certain order.

If the word has 5 different letters  then it is just 26-choose-5 or (26/5).

If the word has 4 different letters  then it is just 26-choose-4 or (26/4)

have 4 options to choose which letter to duplicate twice.

This gives =  4*(26/4)

If the word has 3 different letters  then it is just 26-choose-3 or (26/3).

you duplicate one of the three letters 3 times - 3 options for that, or you choose 2 letters and duplicate each one twice - again 3 options. In total this gives  = 6*(26/3).

If the word has 2 different letters  then it is just 26-choose-2 or (26/2).

The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is  = 4*(26/2).

The word has just 1 distinct letter you have =  (26/1).

we get :

N = (26/5)+ 4*(26/4) + 6*(26/3) + 4*(26/2) +  (26/1)

= 142506

The words need not be English language words  = 142506

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The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Sum of squares of sample means about the grand mean is 6463.27 .

Firstly,

SS(error) = SS(total) - SS(treatments)

=8474.79-2011.52

=6463.27

Now,

df (treatments)=SS (treatments) / MS (treatments)

= 2011.52/287.36

= 7

Now,

df (error) = 18-7

=11

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Calculation table and question table is attached below .

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

'A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)=at²+bt+c, where t is the time in seconds after the rock was released. After 1 second the rock was 63 m above sea level, after 2 seconds 72 m, and after 7 seconds 27 m. a. Find a, b and c and hence an expression for s(t). b. Find the height of the cliff. c. Find the time taken for the rock to reach sea level.'

Given the equation of the distance modelled as s(t)=at²+bt+c

If after 1 second the rock was 63 m, then 63 = a+b+c

If after 2 seconds, the distance was 72 m then 72 = 4a+2b+c

Also if after 7 seconds, the distance is 27 m, then 27 = 49a+7b+c

i) Solving the 3 equations simultaneously to get a, b and c we have;

a+b+c = 63 ... 1

4a+2b+c = 72 ...2

49a+7b+c = 27 ...3

Subtracting 2 from 1 and 3 from 2 we will generate 2 new equations as shown;

eqn 2- eqn1: 3a + b = 9...4

eqn 3- eqn 2: 45a + 5b = -45

eqn 3- eqn 2: 9a+b = -9 ... 5

solving 4 and 5 simultaneously

3a + b = 9 ...4

9a+b = -9 ... 5  

Taking the difference of 4 and 5 we have

6a - -9-9

6a = -18

a = -3

substituting a = -3 into equation 4 to get b we have;

3(-3)+b = 9

-9 + b = 9

b = 9+9

b = 18

substituting a = -3 and b = 18 into equation 1 to get c we have;

-3+18+c = 63

15+c = 63

c = 48

a = -3, b= 18 and c = 48

The distance function will be s(t) = -3t²+18t+48

ii) If the height of the cliff is modelled by the equation  s(t)=at²+bt+c

The height of the cliff is at when t = 0

s(0) = -3(0)²+18(0)+48

s(0) = 48m

The height of the cliff is 48m

iii) At the sea level, the height of the rock will be 0m, substituting this into the modeled equation for the height to get the time we have;

s(t)=at²+bt+c

0 = -3t²+18t+48

3t²-18t-48 = 0

t² - 6t - 16 =0

t² - 8t+2t - 16 = 0

t(t-8)+2(t-8) = 0

(t+2)(t-8) = 0

t = -2 or 8

Taking the positive value of the time, t = 8secs

Time taken for the rock to reach sea level is 8secs

In each batch, Weightages of shortbread cookies,

Market uses approximately 1.79 pounds of flour, 0.67 pounds of butter, and 1.54 pounds of sugar.

Distribution of things concept is used to find the number of ways of distributing n distinct objects in r distinct boxes.

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

To find out how many pounds of ingredients are used in each batch, we need to divide the total weight of each ingredient by the number of batches.

Flour: 21.5 pounds / 12 batches = 1.79 pounds per batch (rounded to two decimal places)

Butter: 8 pounds / 12 batches = 0.67 pounds per batch (rounded to two decimal places)

Sugar: 18.5 pounds / 12 batches = 1.54 pounds per batch (rounded to two decimal places)

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The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices. None of the options are correct.

To find the price at which sales are equal to Q=10, we need to substitute Q=10 into the inverse demand function P=342-190 and solve for P.

Let's start by substituting Q=10 into the inverse demand function:

P = 342 - 190 * Q

P = 342 - 190 * 10

P = 342 - 1900

P = -1558

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices.

Given the options provided (a, 18; b, 36; c, 152; d, 171), we can see that none of them match the calculated price of -1558.

Therefore, none of the options are correct.

It is important to note that the calculated price of -1558 may not be realistic or feasible in the context of the problem. It is possible that there may be some error or inconsistency in the information provided.

If you have any additional information or if there are any constraints or limitations mentioned in the problem, please provide them, and I will be happy to assist you further.

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Answer:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study music, the probability the person is in HS is about 44%.

Step-by-step explanation:

In the music column, we see that

total people who prefer to study with music =   153

high school students = 68

So, probability of high school students who study with music

= 68/153

= 0.44

= 44%.

College students = 85

Probability of college students who prefer to study with music

=  85/153

= 0.56

= 56%.

So, the correct statements are :

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

3 and 5

Step-by-step explanation:

2022

Given data:

The first equation is 2x+3y=-12.

The second equation is x+y=9.

The second equation can be written as,

y=9-x

Substitute the above value in second equation.

2x+3(9-x)=-12

2x+27-3x=-12

-x=-39

x=39

The value of y is,

39+y=9

y=-30.

Thus, the value of x is 39, and the value of y is -30.

Answer:

HI MATE,

Step-by-step explanation:

THE ANSWER IS 6

Answer:

Copper

Explanation:

Copper would be beacuse it's non-toxic, it's antimicrobial, it's rustproof, and it is affordable.

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

To understand why, we need to convert the mass of a single bromine atom from grams to nanograms.

There are 10^9 nanograms in a single gram, so we can use this conversion factor to make the necessary calculation:
1.327 × 10-22 g x (10^9 ng/1 g) = 1.327 × 10-13 ng

However, none of the answer choices match this value. We need to use scientific notation to convert 1.327 × 10-13 ng into one of the given answer choices.
a) 1.327 × 10-16 mg = 1.327 × 10^-10 ng (since 1 mg = 10^6 ng)
b) 1.327 × 10-25 kg = 1.327 × 10^-4 ng (since 1 kg = 10^12 ng)
c) 1.327 × 10-28 μg = 1.327 × 10^-19 ng (since 1 μg = 10^3 ng)
d) 1.327 × 10-31 ng = 1.327 × 10-31 ng

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

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Explanation:

Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.

The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

for the given question.

The parent function is f(x) = x + 1.

The translated function is g(x).

As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.

It mean both Veronica and Drawn are correct.

Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

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Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

-21 is the 17th term.

It is a sequence where there is the same pattern of difference between the consecutive terms in the sequence.

We have,

a = 27 and d = -3 _____(1)

The nth term.

Term = a + (n - 1)d _____(2)

Now,

Term = -21

Substituting (1) in (2).

Term = a + (n - 1)d

-21 = 27 + (n - 1) (-3)

-21 = 27 - 3n + 3

3n = 27 + 21 + 3

3n = 51

n = 17

Thus,

-21 is the 17th term.

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Answer:

89.6994g

Step-by-step explanation:

M = DV

   = 11.34g/cm^3 * 7.91cm^3

   = 89.6994g

Hope this helps!