mariah is reading a book. the number of pages shhe has left to read can be modeled by the equation p = 300 - 50h where p is the number of pages she has left to read and h is the number of hours she has read. Based on this model, how many hours of reading does it take Mariah to read 200 pages

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Answer:

If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.

Step-by-step explanation:

Answer:

let's say (5x + 2) = y

then that means 118° + y = 180°(angle in a straight line)

therefore y =180 - 118= 62°

since y = 5x + 2

and y= 62°

therefore 5x + 2 = 62°

5x = 62- 2= 60°

therefore 5x = 60°

this means that x = 60 ÷5 = 12°

The mean of the remaining temperature will be 1.7°C

Since the mean of her six recorded temperatures was 2.1 °C, the total temperature will be:

= 6 × 2.1

= 12.6°

Since the temperature on one of the days was 4.1 °C, the mean of the remaining temperature will be:

= (12.6 - 4.1)/5

= 8.5 / 5

= 1.7

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The given sequence is not geometric.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: [tex]\frac{1}{2}, \frac{1}{4},\frac{1}{6},\frac{1}{8},...[/tex]

Here, [tex]\frac{\frac{1}{4}}{\frac{1}{2}}\neq \frac{\frac{1}{6}}{\frac{1}{4}}\neq \frac{\frac{1}{8}}{\frac{1}{6}}[/tex]

That is, the given sequence doesn't follow the only required condition for a sequence to be geometric.

Hence, The given sequence is not geometric.

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Answer:

slope of ST = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

calculate the slope of PT using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = P (2, 2 ) and (x₂, y₂ ) = T (- 1, - 4 )

[tex]m_{PT}[/tex] = [tex]\frac{-4-2}{-1-2}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{ST}[/tex] = - [tex]\frac{1}{m_{PT} }[/tex] = - [tex]\frac{1}{2}[/tex]

The total fencing material needed for the triangular plot is 537.03 feet.

A trigonometric law: the square of a plane triangle's side equals the sum of the squares of a remaining sides minus double the the product of such sides as well as the cosine of a angle between them.

If the triangle ABC is having the sides a, b and c.

Then, the formula for law of cosine is;

c² = a² + b² - 2abcosC

Now, as per the given question;

The first step is to compute the length of the fence's third side. The following formula can be used to calculate the length of a third side:

c² = a² + b² - 2abcosC

Where a,b and c are the three sides and C is the angle forming between sides a and b.

The sides are a = 160 feet, b = 160 feet.

The angle between the sides a and b is 85 degrees.

Now, estimate for c by substituting all the value in the formula.

c² = 160² + 160² - (2 x 160 x 160)cos85

c² = 51,200 - 51200 x0.087

c = √47104

c = 217.03 feet

Now, the total length of the perimeter = 160 + 160 + 217.03

                                                               = 537.03 feet                

Therefore, the total length of the perimeter of the fencing material is found to be 537.03 feet.

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If an artist uses gold leaf foil in his work and he wants to cover a piece of canvas that is 22.5 by 34 inches with this foil and the foil costs $4.15 per square inch, then the money the artist spent on gold leaf foil for this project is equal to $3174.75

The money spent on gold leaf foil for the project can be calculated by the multiplication of the area or square inch of the foil needed to cover the piece of canvas with the price per square inch.

The area or square inches can be calculated by multiplying the length in inches by the width in inches.

Area = 22.5 × 34

Area = 765 square inches

Now, money spent on gold leaf foil can be calculated by multiplication of the area of the need with the price per square inch.

Area × price per square inch

765 ×  4.15 = $3174.75

Hence the money the artist spent on gold leaf foil is calculated to be $3174.75

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From the given graph, we have that:

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, in the case of a direct relationship, as follows:

y = kx

In the case of an inverse relationship, we have that:

y = k/x.

k is the constant of proportionality for both cases.

For this problem, the function goes through point (2,10), that is, when x = 2, y = 10, meaning that we can find the constant k as follows:

2k = 10

k = 10/2

k = 5.

The constant of the relationship on the graph is of 5.

For the relationship, we have that:

Hence:

The point (7,35) in the proportional relationship graphed in this problem means that 35 gallons of water were used in 7 minutes.

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Question:

Which part of the story begins the development of a character? (5 points)

Exposition

Climax

Falling action

Resolution

Answer: It is (3,5) other one is 5. I did two of them lol.

Answer:

A is the answer.

Step-by-step explanation:

The lower line has slope 2 and passes through (0, 0). The clear circle indicates that the point where x = 1 is not included.

So, if x < 1 the function is  2x.

if x >= 1 the line is 1/2x + 5/2.

The two numbers include 1.6682 and 4.3378 and this will give a sum of 6.006.

From the information, the sum of two numbers is 6.006 One number has a 6 in the tenths place and a 2 in the thousandths place and the other number has a 3 in the ones place and a 7 in the hundredths place.

In this case, the two numbers include 1.6682 and 4.3378 and this will give a sum of 6.006. The sum will be:

= 1.6682 +4.3378

= 6.006

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The isosceles triangle's base can be positioned along the x-axis. Because QR is b units long, you can position point R along the x-axis and calculate the coordinates (b, 0).

An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.

By putting Q at the origin, the isosceles triangle's base can be positioned along the x-axis. Because QR is b units long, you can position point R along the x-axis and calculate the coordinates (b, 0). Because the vertex of the isosceles triangle, point T, is directly above the midpoint of the base, its x-value is half the length of QR and its coordinates are (b/2, c).

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Step-by-step explanation:

2x - 11 = 3

2x = 3 + 11

2x = 14 (divide both sides by 2 to get x)

2x/2 = 14/2

x = 7

Answer:      x= neagtive 4

Step-by-step explanation:

Answer:

h = (S - 2nr) / 2nr

Step-by-step explanation:

S = 2nr + 2nrh

2nrh = S - 2nr

h = (S - 2nr) / 2nr

Answer:

x=3

Step-by-step explanation:

8x-3x=27-12

5x=15

x=15/5=3

x=3

Answer:

x=3

Step-by-step explanation:

8x + 12 = 3x + 27

Subtract 3x from both sides.

5x+12=27

Subtract 12 from both sides.

5x=15

Divide 5 from both sides.

x=3

Hope this helps!

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  The value of the geometric mean of the numbers 40 and 15 is.

Gm ( 40, 15) = 10√6

   The geometric mean is defined as a type of measure that is calculated as the root of a product between a set of numbers, it can be expressed as follows:

Gm (a,b) = √ab

  Then in our case that we have the values 40 and 15, these are equivalent to the variables a and b

  We substitute and solve for the square root

Gm (40, 15) = √40×15

Gm (40, 15) = √600

Gm (40, 15) = √6×100

Gm ( 40, 15) = 10√6

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The domain of the function that models Salvatore's price scale is;  {x 0 < x < 8}.

The domain of a graph is defined as the set of possible input values of a function.

Now, we are told that he charges $100  for all work that is completed in less than 2 hours and also that he charges $400 for work that takes between 5 and 8 hours.

This means that the number of hours will be less than 2 but cannot be zero but it is less than or equal to 8

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Answer:

y= 15

Step-by-step explanation:

well I did first was I took eight and added seven because we're trying to find out what why is and whatever why is y - 7 is 8 so I added eight and seven together to get 15 and then I subtracted something and got me beat again .

True, this sentence is true .

The set of all possible outcomes is the sample space.

In statistics, what does a probability mean?

True, this sentence is true .

The set of all possible outcomes is the sample space.

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Measure of angle 4 i.e. m∠4 = 50°

The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.

As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.

In the question,

Let given angle is ∠8.

Given, ∠8 = 50°

Now, according to vertical angle property

∠5 = ∠8

therefore, ∠5 = 50°

Also, ∠5 = ∠4 (alternate interior angles)

Thus, m∠4 = 50°

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The complete question is :

Find measures of numbered angle.

a. ∠2

b. ∠3

c. ∠4

Answer:

EFBGCADHI

That one is confusing, I'm not really sure.

By solving a linear equation we can see that:

Here we have two consecutive even integers, we can write these as x and x + 2

We know that half of the smaller of the two is equal to 2 more than the larger one, this can be writen as:

x/2 = (x + 2) + 2

Now we can solve that linear equation for x:

x/2 = x + 2 + 2

x/2 = x + 4

-4 = x - x/2

-4 = x/2

-4*2  = x = -8

The smaller number is -8

The larger number is -8 + 2 = -6

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Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.

Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.

Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).

Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.

Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.

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Answer:

12 inches = 1 foot

Step-by-step explanation:

Really?

Answer:

1000.6  (The 6 is a repeating so make sure to put a line over it)

Step-by-step explanation:

175+210+180+195+208+196

1164/6

1000.6 ( Put line over 6 is repeating decimal )

The blanks in the  question has same value and it is equal to 9

Given data

6x​ + ____ =7x-​____ ​, solution is 18

let the missing number be in the left hand side of the equation be equal to  the missing number at the right hand side of the equation and both be represented by y.

if the solution is x which is 18 we substitute for y as follows

6x + y = 7x - y

y + y = 7x + 6x

plugging in the values of x

y + y = 7 * 18 - 6 * 18

2y = 126 - 108

2y = 18

y = 9

testing y = 9 in both equations

6x + y = 6 * 18 + 9 = 108 + 9 = 117

7x + y = 7 * 18 - 9 = 126 - 9 = 117

Hence we can say that the blanks in the  question has same value and it is equal to 9

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True, The sequence an = 8, 13, 18, 23, ...is the same as the sequence a₁ = 8,

an = an-1 +5.

An arithmetic sequence is a set of integers which follow a specific pattern. It is an arithmetic sequence if you pick any number in the sequence and subtract it from the preceding one, and the result is always the same or constant.

The common difference, indicated by the letter d, is the constant difference between all pairs of consecutive or succeeding numbers in a sequence. To transition from one phrase to another, we use the common difference. How? To get to the following term, take the current term and add the common difference, and so on. That is how the sequence's terms are formed.

The first equation is as follows: a(sub n) = 8, 13, 18, 23.

The second equation is: a(sub 1)=8; a(sub n)= a(sub n-1)+5

To obtain the second term, enter two into the equation for n 8+5=13. To find the third, enter the second term, 13, into the equation for n 13+5=18.

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Thus the tax rate is 1.5% and the 1.5% tax value of $135,000 is $2025.

We are given that;

A homeowner whose house was assessed at $120,000 pays $1,800 in taxes.

At the same rate, we need to find out what the tax value on a house assessed at $135,000.

The rate is always in percentage. Thus;

Tax value = 5% of 100

= 5/100 x 100

= $5

We have,

House cost = $120,000

Tax amount = $1800.

Let the rate be R%

Now;

R/100 * 120,000 = 1800

R * 1200 = 1800

R = 1800/1200

R = 18/12 = 1.5

R = 1.5%

The tax rate is 1.5%

The 1.5% tax value of $135,000 = 1.5 / 100 * 135,000

= 15/1000 x 135,000

= 15 x 135

= $2025

The tax value is $2025.

Thus the tax rate is 1.5% and the 1.5% tax value of $135,000 is $2025.

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The missing angles of triangles are - 30°, 50°, 40°.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the internal angles of a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

There are 5 triangles in the given diagram,

We will see them anti - clock wise.

All the triangles are right - angled triangle.

The measures of 1 triangle are -

90°, Let the other 2 angles be x,y

The measures of the 2nd triangle are -

Given,

60°, 90°

Using angle sum property,

The measure of third angle = 180°

= 60 + 90 + third angle = 180

third angle = 180 - 150

= 30.

The measures of 3rd triangle are -

Given,

40°, 90°

Using angle sum property,

The measure of third angle = 180°

= 40 + 90 + third angle = 180

third angle = 180 - 130

= 50.

The measures of 4th triangle are -

50°, 90°

Using angle sum property,

The measure of third angle = 180°

= 50 + 90 + third angle = 180

third angle = 180 - 140

= 40.

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