anyone who is willing to answer the question in the image sent, i will give you brainiest!

The constant of proportionality for the considered equation is 29.4

Firstly, there is proportional relationship.

Two values \(x\) and \(y\) are said to be in a proportional relationship if \(x=ky\), where \(x\) and \(y\) are variables and \(k\) is a constant.

The constant k is called constant of proportionality.

The proportional relationship between x and y can be written symbolically as

\(x \propto y\)

That middle sign is called sign of proportionality.

For the given case, we've got the equation as:

\(m = 29.4h\)

Here, m and h are variables.

Thus, using the aforesaid definition, in this equation, the constant of proportionality is  29.4

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Answer:

\(y^{5}\times y^{3}=y^8\)

Step-by-step explanation:

exponent property :

\(\left( a\right)^{n} \times \left( a\right)^{m} =\left( a\right)^{n+m}\)

………………………………………

\(\Longrightarrow y^{5}\times y^{3}=y^{5+3}=y^8\)

Answer:

Step-by-step explanation:

(2^6)^-5 is the expression that should be multiplied

Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

Answer:

135

Step-by-step explanation:

this seems like a continuation of the question which was answered previously

we know angle AEB=135, using vertical angle theorem, AEB and CED are congruent, so CED=135

Answer:

left handed = 7 ; right handed = 12

Step-by-step explanation:

r = right handed

l = left handed

r + l = 19

r = l + 5

If we use substitution method we have:

l +5 + l = 19

2 l = 14

l = 7

r = 7 + 5 = 12

Answers:

The system of equations is

\(\begin{cases}y = x-5\\x+y = 19\end{cases}\)

where x and y is the number of right-handed and left-handed people respectively.

The system solves to (x,y) = (12,7)

Interpretation:

There are  12   right-handed people and  7   left-handed people in the class.

=========================================================

Explanation:

x = number of right-handed people

y = number of left-handed people

x and y are positive whole numbers.

There are 5 more right-handed people compared to left-handed people, so we can say x = y+5 which is the same as y = x-5. So you could go for either equation. Let's go for the one where y is isolated.

The second equation to form is x+y = 19 because there are 19 people in the class, and you can only be one or the other (left-handed or right-handed but not both). I'm not considering the possibility anyone is ambidextrous though of course that may happen in a realistic setting.

The two equations then form the system

\(\begin{cases}y = x-5\\x+y = 19\end{cases}\)

There are a number of ways we can solve this system. Substitution is possibly the quickest way.

x+y = 19

x+(x-5) = 19 ... replace y with x-5; due to the first equation

2x-5 = 19

2x = 19+5

2x = 24

x = 24/2

x = 12 .... this is the number of right-handed people

y = x-5

y = 12-5

y = 7 .... this is the number of left-handed people

I'll do the first two to get you started

See the diagram below for the filled out answers.

====================================================

Problem 1

You are correct in saying that 10 goes in the first box. This is from 2*5 = 10 when you apply the distributive property a*(b+c) = a*b+a*c.

For the next box, you'll have x go inside it. This is because we subtract 2x from both sides and then note how 3x-2x becomes x. This x is found on the right side of the third line.

For the last box, we have 9 go inside it. This is from subtracting 1 from both sides, so 10-1 becomes 9.

Answers:

in that order

====================================================

Problem 2

We add 2y to both sides so that 3y becomes 5y. Ie, 2y+3y = 5y

As a way to check the answer, note how 5y is on the left side of line 2.

Then we'll add 4 to both sides. So 6 updates to 6+4 = 10 on the right side. We type 10 in the second box.

The last step is to divide both sides by 2. The equation 5y = 10 solves to y = 2

Answers:

in that order

See the diagram below for the filled out answers.

The expression 12p - 33q + 104 is equivalent form of 12(p + 5) − 11(3q + 4).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression below which is given in the question:

12(p + 5) − 11(3q + 4)

Apply the distributive property of multiplication,

12p + 12 × 5 − 11 × 3q + 11 × 4

12p + 60 - 33q + 44

Rearrange the terms likewise and apply the arithmetic operation,

12p - 33q + 60  + 44

12p - 33q + 104

Therefore, the expression 12p - 33q + 104 is equivalent form of 12(p + 5) − 11(3q + 4).

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The expression 12p - 33q + 104 is equivalent form of 12(p + 5) − 11(3q + 4).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression below which is given in the question:

12(p + 5) − 11(3q + 4)

Apply the distributive property of multiplication,

12p + 12 × 5 − 11 × 3q + 11 × 4

12p + 60 - 33q + 44

Rearrange the terms likewise and apply the arithmetic operation,

12p - 33q + 60  + 44

12p - 33q + 104

Therefore, the expression 12p - 33q + 104 is equivalent form of 12(p + 5) − 11(3q + 4).

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The tangent of <S is 8/15

Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Given:

ST = 68

UT = 60

so, SU = √ST² - UT²

           = √68² - 60²

           = √4624  - 3600

           = √1024

           = 32

So, Tangent of <S = P/ B

tan S = SU / UT

tan S = 32 / 60

tan S = 8/15

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Answer:

10.y=22 degrees

12.y=14 degrees

Step-by-step explanation:

The relationship between the mean and MAD is used. Then the mean absolute deviation (MAD) is 0.

It is the average distance between each data point and the mean.

Dr. Oguz counted the number of cubs in 10 tiger cub litters and then arranged the numbers from smallest to largest.

The numbers of cubs in each litter were 1, 1, 2, 2, 3, 3, 3, 4, 5, and 6.

The mean of these measurements is 3.

The mean absolute deviation (MAD) is given by

\(\rm MAD = \dfrac{\Sigma |x -\mu| }{N}\)

N be the number of observation

μ be the mean

\(\rm MAD = \dfrac{2+2+1+1+0+0+0-1-2-3}{10}\\\\MAD = \dfrac{6-6}{0}\\\\MAD = 0\)

The mean absolute deviation (MAD) is 0.

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Answer:

205.60 yards

Step-by-step explanation:

The slope of the perpendicular line to the tangent line of curve y = f(x) at point A(7,f(7)) is -1/f'(7), where f'(7) represents the derivative of f(x) evaluated at x = 7.

To find the slope of the perpendicular line to the tangent line at a given point, we need to consider the negative reciprocal of the slope of the tangent line. The slope of the tangent line is given by the derivative of f(x) evaluated at the point of tangency.

Therefore, we calculate f'(x), the derivative of f(x), and then evaluate it at x = 7 to get f'(7). The negative reciprocal of f'(7) gives us the slope of the perpendicular line.

the expression -1/f'(7) represents the slope of the perpendicular line to the tangent line of the curve y = f(x) at point A(7,f(7)).

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Step-by-step explanation:

a

Given that the table shows   the maximum daily temperatures, in degrees Fahrenheit, recorded in a Texas town in May.

84 86 84 88 83 85 90 84 88 84 85 83 85 84 90 84 85 85 83 85

In ascending order,

83 83 83 84 84 84 84 84 84 85 85 85 85 85 85 86 88 90 90

Median = middle entry =85

Histogram is the one which can be used to find the median of the maximum daily temperature.

THe median divides the histogram into two equal parts

Answer:

£756

Step-by-step explanation:

To fill the tank completely, Mr. Patel needed:

500 liters initially + (total capacity of the tank - 500 liters) = 500 + (tank capacity - 500) = tank capacity

To find the tank capacity, we need to know how many liters of oil Mr. Patel bought initially:

Total cost of oil bought initially = 900

Cost per liter of oil = £0.60

Number of liters of oil bought initially = 900 / 0.60 = 1500

Therefore, the tank capacity is:

500 + (tank capacity - 500) = 1500

Tank capacity - 500 = 1000

Tank capacity = 1500 liters

At the beginning of February, Mr. Patel had 300 liters of oil left in his tank, so he needed to buy:

1500 - 300 = 1200 liters of oil

The cost of oil had increased by 5%, so the cost per liter was:

£0.60 + (£0.60 x 0.05) = £0.63

Therefore, the total cost of the oil in February was:

1200 x £0.63 = £756

Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

Answer:

1. 295.262 liters

2. 107770.63 liters in a year

Step-by-step explanation:

i'm not sure about number 2, but i got that by multiplying 295.262 liters times 365 cuz there are 365 days in a year. i hope this helps!

Answer:

Step-by-step explanation:

Take two points on the line:

The slope-intercept form:

Find the slope:

The y- intercept is b = 3 according to the first point.

The line is:

Answer:

C. 14x^7-56x^6-126x^5+35x^4-140x^3-315x^2

I'm only providing an answer but if you need an explanation you can ask me because I did it in my journal.

Pls mark as brainliest ;)

Answer:5*(x-2)^2 + 5

Step-by-step explanation:that would be the answer 5x^2-20x+25

Answer:

M-mental

A-abuse

T-to

H-human

I just think this is funny, lol....pls mark me brainliest:)

Step-by-step explanation:

Answer:

me..............

Step-by-step explanation:

He worked 16 hours overtime.

He is paid $14.40 an hour for a regular 40-hour week.

His overtime pay is 1.5 times his regular hourly rate.

This week Rafael earned $921.60 in total pay.

Therefore, the numbers of hours he worked overtime can be solved as follows:

Hence,

Hourly pay for Rafael = $14.40

Weekly hours = 40 Hours

Basic earning = 14.40 × 40 = $576

Therefore,

the overtime pay = 921.60 - 576 = $345.6

Overtime pay = 1.5 × (hourly rate) × x

Overtime pay = 1.5 × (hourly rate) × x

where

Overtime pay = 1.5 × 14.4x

345.6 =  21.6x

Therefore,

x = 345.6  / 21.6

x = 16 hours

Hence he worked 16 hours overtime.

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The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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The inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

The one inequality is

y ≤−2x−1

The inequality is represents the relationship between two variables with inequality sign. The inequality will be less than, greater than, less than or equal to and greater than or equal to.

Both lines are parallel therefore the slope of the line will be same that is -2.

The y intercept of the line is +2

The shade is on the top side of the line

Therefore the inequality will be

y>−2x+2

Hence, the inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

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An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.

The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.

So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.

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The correct statements that explain why events A and B are independent events are choosing a certain book does not affect the choice of a pear and choosing a certain pear does not affect the choice of a book. Therefore, the correct option is C and D.

Choosing a certain book does not affect the choice of a pear, and choosing a certain pear does not affect the choice of a book. This is because the two events are happening in different stores and have no direct relationship with each other. The choice of a pear does not depend on the choice of a book and vice versa.

Therefore, the occurrence or non-occurrence of one event does not affect the probability of the other event occurring or not occurring, which is the definition of independent events. Statement A and B are incorrect because they suggest a relationship between the two events, which does not exist.

Hence, events A and B are independent events because choosing a certain pear (event A) from the grocery store and choosing a certain book (event B) from the book store do not affect each other. The correct statements explaining why events A and B are independent are option C: Choosing a certain book does not affect the choice of a pear and option D: Choosing a certain pear does not affect the choice of a book.

Note: The question is incomplete. The complete question probably is: Events A and B are independent. Let event A be the event that a person chooses and buys a certain pear from the grocery store. Let event B be the event that a person chooses and buys a certain book from the book store. Which statements explain why events A and B are independent? Choose all that apply. A Choosing a certain book affects the choice of a pear. B. Choosing a certain pear affects the choice of a book. C. Choosing a certain book does not affect the choice of a pear. D. Choosing a certain pear does not affect the choice of a book.

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Given:

Taking the first equation:

Taking the second equation:

If 4m=5n,

If 4m=-5n,

Range of n in terms of p:

Step-by-step explanation:

x - 5x = -74 - 14

-4x = -88

x = 22

Answer:

x = 5x - 74

-4x = -88x

x = 22

Answer:

(\(\frac{5}{2}\)), \(-\frac{1}{2}\)

Step-by-step explanation:

Formula:

Add both "x" coordinates, divide by 2

Add both "y" coordinates, divide by 2

~I hope I helped you! :)~