Determine whether the set of points represent a function relationship.
(2, 4) (4, 6) (6, 8) (3,4) (5,7) (8,2) is this a function?

Answer:

\(\frac{x+2}{3x-1}\)

Explanation:

→ \(\frac{(x^2-9)(x+2)}{(3x^2 +8x -3)(x-3)}\)

→ \(\frac{\left(x+3\right)\left(x-3\right)\left(x+2\right)}{\left(3x^2+8x-3\right)\left(x-3\right)}\)

→ \(\frac{\left(x+3\right)\left(x+2\right)}{3x^2+8x-3}\)

→ \(\frac{\left(x+3\right)\left(x+2\right)}{\left(3x-1\right)\left(x+3\right)}\)

→ \(\frac{x+2}{3x-1}\)

Answer:

Infinite population

Step-by-step explanation:

Population refers to an entire set of people or objects present for the purpose of gathering data and when the population is unlimited in size i.e. it cannot be ascertained easily, it is known as infinite population.

hope it helps you a follow would be appreciated

Answer:

The answer is infinite population.

"Fair Warden Cap 25% Discount " showed the greatest percentage discount in price for buying in bulk.

This is further explained below.

Generally, In the context of finance, discount refers to a process in which a debtor acquires the right to defer payments to a creditor for a certain amount of time in return for a charge or fee. This privilege is known as "discounting." To put it simply, the party that is now in debt acquires the right to postpone the payment until some unspecified time in the future.

In conclusion, The phrase "Fair Warden Cap 25% Discount" displayed the maximum percentage price reduction available for purchasing in large quantities.

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CQ

High Visibility Safety Clothing

Item

Purchases of 1 to 10 Purchases of more than 10

Jacket

$25.00 each

$21.00 each

Trousers

$15.00 each

$12.00 each

Rucksack

$22.00 each

$19.50 each

Belt

$5.00 each

$4.00 each

Fire Warden Cap

$10.00 each

$7.50 each

Fire Warden Armband $7.50 each

$6.50 each

First Aid Armband

$7.00 each

$6.00 each

Which of the following items showed the greatest percentage discount in price for

buying in bulk?

Jackets

() Trousers

() Rucksacks

Belts

O) Fire Warden Cap

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

As a result, option two (3.50) is correct.

Step-by-step explanation:                                                    
                                   
The code chunk that allows you to filter the data frame for chocolate bars with at least 70% cocoa and a rating of at least 3.5 pounds is as follows

∴ filter(Cocoa, percent>='70%'&Rating>=3.5)


Therefore, the code you write is facet wrap(Cocoa. Percent). Facet wrap() is a function in this code chunk that allows you to wrap a variable's facets. All of the ingredients are derived from cocoa beans. Cacao solids (the "brown" part, which contains health benefits and the unmistakable chocolatey flavor) and cacao butter (the "white" part, which contains the chocolate's fatty component) are split in proportion.


As a result, 3.5 appears in row 1 of your Tibble.

Other options I (iii), and (iv) are incorrect because the question states that any rating greater than or equal to 3.5 points can be considered a
high rating, and the rating here should be 3.5, not 3.75, 4.25, or 4

So, option (ii) is correct.  


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Step-by-step explanation:

1. 6(9+3)=57

2. 3(12+6)+2(4)=29

3. 5(3-16)=65

(3×4+12(4)=48

Answer:

5

Step-by-step explanation:

By question,

=> y = kx

When y = 16 , x = 8

=> 16 = x(8)

=> x = 2

When y = 10 ,

=> 10 = 2x

=> x = 5

Answer:

5

it is the correct answer

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

D.)

15040000 <= k <=19840000

Step-by-step explanation:

V = 1200 -0.00002k

Value V after one year falls in the range of $803.20 and $899.20.

Let's substract these values from 1200.

1200-803.20=396.80

1200-899.20=300.80

So it means that

0.00002k= 396.80

And

0.00002k= 300.80

So

0.00002k= 396.80

K= 396.80/0.00002

K= 19840000

And

0.00002k= 300.80

K = 300.80/0.00002

K= 15040000

So range is between

15040000 <= k <=19840000

Lunch

Step-by-step explanation:

she eats 900 cals at lunch, but at dinner she has 800 and breakfast she has 600. 900 is the most cals so lunch is the meal with the most calories.

Answer: t _(α/2) = 2.060

Step-by-step explanation:

Given that;

sample size n = 26

confidence interval = 95%

level of significance α = ( 1 - 95/100 ) = 0.05

but from the question the salaries (26) are use to estimate the mean of the population so, its a two tail test

therefore our level if significance α will be divided by 2 = 0.05/2 = 0.025

now our degree of freedom df = 26 - 1 = 25

FROM standard t-table value

the critical value of t for the level of significance 0.025

and 25 degree of freedom is 2.060

therefore, t _(α/2) = 2.060

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

2.5%

Step-by-step explanation:

Thorazine is available in the strength of 25mg/mL.

To find out the percentage strength,

W/V = g/mL  (weight in grams of solute/milliliters of solute.)

1mL of Thorazine contains 25mg.

Dissolve Thorazine with the 100mL solution.

Therefore, 25 x 100 = 2500mg

Which is equals to 2.5g

100mL solution contains 2.5g of Thorazine.

Percentage Strength (W/V) = 2.5 / 100 x 100 = 2.5%.

The percentage strength of Thorazine 25mg/mL has 2.5%

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

1. B. 6. G.

2. H. 7. D.

3. A. 8. I.

4. H. 9. A.

5. C. 10. answer not found.

Carlene's employer's contribution to the 401(k) was of $3,200., using proportions.

A proportion is a fraction of a total amount, and this fraction is combined with basic arithmetic operations, especially multiplication and division, to find the desired measures in the context of a problem.

The proportion of her salary that she contributed to the 401(k) plan is of:

4000/40000 = 0.1.

The first 6% of her salary is:

0.06 x 40000 = $2,400.

Hence her employee contributed $2,400 relative to the first 6% of her salary.

For the 4% between 6% and 10%, the employee contributed 50% of her contributions, hence:

0.5 x (4000 - 2400) = 0.5 x 1600 = $800.

Hence the total contribution by the employee is of:

2400 + 800 = $3,200.

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a) The hypotheses for this study would be the Null hypothesis and Alternative hypothesis.

b) The completed ANOVA summary table would be the Sum of Squares.

c) The calculator would give a p-value of approximately 0.03.

d) The results of the ANOVA test may not be reliable.

(a) The hypotheses for this study would be:

Null hypothesis (\(H_0\)): There is no difference in the average lifetime of the four types of batteries.

Alternative hypothesis (\(H_1\)): There is a difference in the average lifetime of the four types of batteries.

(b) The completed ANOVA summary table would be:

Sum of Squares (SS) df Mean Squares (MS) F

Between (Factor) 25.7375 3 8.578 3.77

Within (Error) 75 56 1.34

Total 100 59

(c) To find the p-value, you would use the Fcdf function on your calculator. The syntax for this would be Fcdf(F, 10000, df Between, df Within). In this case, the F value is 3.77, the df Between is 3, and the df Within is 56. Plugging these values into the calculator would give a p-value of approximately 0.03.

(d) Based on the p-value, we can reject the null hypothesis and conclude that there is a significant difference in the average lifetime of the four types of batteries. This suggests that the type of battery has an effect on its lifetime. However, it is important to note that this conclusion is based on the assumptions of the ANOVA test, including the assumption of equal variances among the groups. If these assumptions are not met, the results of the ANOVA test may not be reliable.

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Answer:

The answer is

Step-by-step explanation:

First of all convert the mixed number to an improper fraction

We have

So we have

Since they have the same denominator we can subtract them directly

We have

Reduce the fraction with 2

We have the final answer as

Hope this helps you

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

Step-by-step explanation:

You want to know which trig functions on the given list have a value of zero.

Sine

The sine function is zero at x=0 and multiples of π.

Cosine

The cosine function is zero at x = π/2 and for odd multiples of π.

Tangent

The tangent function is zero at x=0 and multiples of π. It is zero in the same places the sine function is zero.

These values are zero:

These function values are something different:

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

\(\sf 1. \quad \dfrac{3}{8}\)

\(\sf 2. \quad \dfrac{7}{24}\)

Step-by-step explanation:

Spinner 1 is divided into 6 congruent sections.

There are 3 red sections, 2 blue sections and 1 yellow section.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)

    \(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)

Spinner 2 is divided into 3 sections of differing sizes.

The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)

    \(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)

If each spinner is spun once, then:

The probability that both spinners both show red is:

\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)

The probability that both spinners both show blue is:

\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)

The probability that both spinners both show yellow is:

\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)

Therefore, the probability that both spinners show the same colour is:

\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)

If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:

\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)

The probability of getting a blue from spinner 1 and a red from spinner 2 is:

\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)

Therefore, the probability of getting a red-blue combination is:

\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)

\(\large\underline{\sf{Solution-}}\)

First equation is

\(\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) \)

can be further simplified to

\(\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab\)

\(\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay \)

\(\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay\)

\(\rm \longmapsto\: - \dfrac{bx}{2} = - ay\)

\(\rm \longmapsto\: \dfrac{bx}{2} = ay\)

\(\rm \longmapsto\:bx = 2ay\)

\(\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)\)

Second equation is

\(\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} \)

\(\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy\)

\(\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5\)

\(\rm \longmapsto\: \dfrac{x + aby}{2b} = 5\)

\(\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)\)

So, we have two equations in simplest form as

\(\rm \longmapsto\:bx - 2ay = 0 \)

and

\(\rm \longmapsto\:x + aby = 10b\)

Now, Consider

\(\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b\)

\(\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} \)

\(\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} \)

This implies, System of equations is consistent having unique solution.

So, The student is correct as lines are intersecting.

So, option (b) is correct.

Answer:

14 is 45

Step-by-step explanation:

Answer:   She practices 5 hours a day

Step-by-step explanation:  6 days a week x 4 weeks = 24 days

120 hours of practice / 24 days = 5 hours of practice a day

Answer:

5hrs

Step-by-step explanation:

120 ÷ 4 = 30. 30 ÷ 6 = 5. She practices for 5hrs a week.

The scale factor of the dilated pentagon is the ratio of the side length of the original pentagon to the side length of the dilated pentagon.

In this case, the side length of the original pentagon is 5 and the side length of the dilated pentagon is 1. Therefore, the scale factor is 5:1 or 5/1. To calculate the scale factor, divide the side length of the original pentagon by the side length of the dilated pentagon. In this case, the calculation would be 5 / 1 = 5. The scale factor of the dilated pentagon is 5.

We can also use the formula for finding the scale factor of two figures: Scale Factor = Length of figure 1 / Length of figure 2. In this case, the length of figure 1 is 5 and the length of figure 2 is 1. So, the scale factor is 5.

Therefore, the scale factor of the first pentagon to the second pentagon is 5.

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Answer:

the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent