lake erie line graph text-based description: line graph showing declining snowfall totals with distance from the shore of lake erie. the gradual decline from around 425 cm to 375 cm between 0 and 30 km increases with total snowfall at 250 cm by 50 km. there is little decline in the following 10 km but it does drop again by around 50 cm over the next 10 km. the remaining decline is relatively consistent out to 100km, with snowfall there at 150 cm. what is the spatial scale at which the data was collected?

The sum of the next 100 terms is 65250.

An arithmetic sequence is a sequence of numbers such that the difference between any two consecutive terms is constant. If we let "a" be the first term of the sequence and "d" be a common difference, then the nth term of the sequence is given by a + (n-1)d.

Since the sum of the first 100 terms is 15250 and the sum of the next 100 terms is 45250, we can write two equations to represent these sums:

We can use these equations to find the value of "d". Once we have found the value of "d", we can use the equation for the nth term to find the sum of the next 100 terms.

Subtracting the first equation from the second, we get:

Dividing both sides by 100/2, we get:

Finally, using the equation for the nth term and n = 201, we get:

So, the sum of the next 100 terms is 65250.

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The book value of the building in 2014 was $3.96 million. The book value of the building in 2028 will be $2.28 million.

a) The book value of the building in 2014 can be calculated as follows:

Book Value = Original Cost - (Depreciation Rate * Years Depreciated)

Depreciation Rate = Original Cost / Number of Years

Depreciation Rate = 6 million / 50 years = $120,000 per year

Years Depreciated = 2014 - 1997 = 17 years

Book Value = 6 million - (120,000 * 17) = 6 million - 2.04 million = $3.96 million

So, the book value of the building in 2014 was $3.96 million.

b) The book value of the building in 2028 can be calculated in a similar manner:

Years Depreciated = 2028 - 1997 = 31 years

Book Value = 6 million - (120,000 * 31) = 6 million - 3.72 million = $2.28 million.

So, the book value of the building in 2028 will be $2.28 million.

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Answer:

Below

Step-by-step explanation:

y/40 = 5/8    multiply both sides of the equation by 40

y = 40 * 5/8 = 200/8 = 25

The value of 'x' and 'y' in the given diagram are 24° and 25° respectively.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know the sum of linear pair of angles is equal to 180°,

(4x + 9)° +(3y)° = 180°.

We also know that pair of alternate interior angles are equal,

3y° = 75°.

y = 25°.

And (4x + 9)° + 75° = 180°.

4x + 84° = 180°.

4x = 96°.

x = 24°.

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The value of x is equal to 5.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

By applying the vertical angles theorem to the geometric figure, we have the following:

110 degrees = 4x + 90 degrees

4x = 110 degrees - 90 degrees

4x = 20 degrees

x = 5.

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The graduated cylinder is most precise in measuring volume.

Precision is the degree to which separate measurements agree with one another. The general rule is that you can estimate one additional digit past the measuring device's smallest division, 100-mL graduated cylinders are read to 1 decimal, and the smallest graduated cylinder will hold the entire volume.

Precision refers to the number of significant figures in a measurement. When measuring liquid volumes, it is critical to read the graduated scale from the lowest point on the curved surface of the liquid, known as the liquid meniscus.

This means that the balance provides the most accurate and detailed measurement of volume compared to the other two devices.

Hence, the graduated cylinder is most precise in measuring volume.

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A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

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All the correct fractions are,

⇒ 2 yd / 8 ft = 3 / 4

⇒ 24 in / 3 ft = 2 / 3

⇒ 4 ft / 4 yd = 1 / 3

⇒ 32 in / 2 ft = 4 / 3

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

All the fractions are,

⇒ 2 yd / 8 ft

⇒ 24 in / 3 ft

⇒ 4 ft / 4 yd

⇒ 32 in / 2 ft

Now, We know that;

⇒ 1 yard = 3 feet

⇒ 1 feet = 12 inches

So, By the fractions we get;

⇒ 2 yd / 8 ft

⇒ 6 ft / 8 ft

⇒ 6 / 8

⇒ 3 / 4

⇒ 24 in / 3 ft

⇒ 24 in / 36 in

⇒ 12 / 18

⇒ 2 / 3

⇒ 4 ft / 4 yd

⇒ 4 ft / 12 ft

⇒ 1 / 3

⇒ 32 in / 2 ft

⇒ 32 in / 24 in

⇒ 4 / 3

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Answer:

D

Step-by-step explanation:

i think this is the same example?

Acute is less than 90° degrees, obtuse is more than 90° degrees, and a right angle equals 90° degrees.

K = RIGHT, M = ACUTE J =OBTUSE and L = ACUTE

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{y = 4x - 2}\\\mathsf{18 = 4x - 2}\\\mathsf{4x - 2 = 18}\\\large\textbf{ADD 2 to both sides:}\\\mathsf{4x - 2 + 2 = 18 + 2}\\\large\textbf{Simplify it:}\\\mathsf{4x = 18 + 2}\\\mathsf{4x = 20}\\\large\textbf{Divide 4 to both sides:}\\\mathsf{\dfrac{4x}4{} = \dfrac{20}{4}}\\\large\textbf{Simplify it:}\\\mathsf{x = \dfrac{20}{4}}\\\mathsf{x = 5}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 5}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ y = 4x - 2

Now we have to use,

→ y = 18

Then the value of x will be,

→ y = 4x - 2

→ 18 = 4x - 2

→ 18 + 2 = 4x

→ 20 = 4x

→ 4x = 20

→ x = 20 ÷ 4

→ [ x = 5 ]

Hence, the value of x is 5.

The location of earths center relative to a great circle defined by a pair of widely spaced flagpoles on earths surface is:

directly beneath the great circle defined by the two flagpoles.

The great circle defined by two flagpoles on the Earth's surface is a line that bisects the sphere of the Earth into two equal parts. This line passes directly through the center of the Earth, so the center of the Earth is located directly beneath the great circle.

The Earth is a three-dimensional object, so if two points on its surface are connected with a line, that line must pass directly through the center of the Earth.

This line is called a great circle because it is the largest possible circle that can be drawn on the surface of the Earth. The great circle formed by two widely spaced flagpoles on the Earth's surface serves as a reference point for determining the exact location of the Earth's center relative to the surface.

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Answer: 3.73

Step-by-step explanation: Search math w ay on the internet

The sample size, n is 9 and the sample mean, m is 41.33.

The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.

We are asked to determine the sample size(n) and sample mean(m).

Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.

Now, the formula of the sample mean(m) is given as  

                m = Sum of all observations/Total Number of observations

          m =  30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9

          m = 372/9

          m = 41.33

Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.

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The linear equation has only one solution, and it is x = 2/5.

Here we want to see how many solutions does the linear equation have.

The equation is:

2 - 5x = 2x - 2 + 3x

To check that, let's try to solve the equation.

We can simplify the right side to get:

2 - 5x = (2x + 3x) - 2

2 - 5x = 5x - 2

Nowwe canadd 5x in both sides to get:

2 - 5x + 5x = 5x -2 + 5x

2 = 10x - 2

Now add 2 in both sides:

2 + 2= 10x - 2 + 2

4 = 10x

4/10 = x

2/5 = x

So that is the solution (and we know that there is only one because this is a linear equation).

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Answer: To add numbers with exponents, you need to make sure that the bases are the same. Then you can add the exponents.

For example:

3^2 + 3^3 =

9 + 27 =

36

So 3^2 + 3^3 = 36.

Here are a few more examples:

(2^3) + (2^2) =
8 + 4 = 12

(5^2) + (5^3) =
25 + 125 = 150

(4^4) + (4^3) =
256 + 64 = 320

(3^3) + (3^2) =
27 + 9 = 36

(6^4) + (6^3) =
1296 + 216 = 1512

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

We know the order is

1/5, 4/15, 1/3, 2/5

We can rewrite these as

3/15, 4/15, 5/15, 6/15

So, the next fraction in this sequence is 7/15

Answer:

8%

Step-by-step explanation:

3.51 - 3.25 = $0.26

0.26 divided by 3.25, time 100 = 8%

So, the sale tax rate is 8%

Answer:

Rate of sales tax rate is 8%

Step-by-step explanation:

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

Price of an ice cream cone excluding tax = $3.25

Price of an ice cream cone including tax = $3.51

So,

Amount of tax = Price of an ice cream cone including tax  Price of an ice cream cone excluding tax =3.51 - 3.25 = $0.26

                 Sales tax rate = [tex]\frac{0.26}{3.25} x 100 = 8%[/tex]

Please give brainliest answer

Answer: A.

Step-by-step explanation: 0.4 is 40 so 40 is greater than 35 :)

Answer: The answer is the first one

Step-by-step explanation:

0.35 is equal to 35/100 or 35% and 0.4 is equal to 40/100 or 40%

She thought is was 0.35 is equal to 35% and 0.4 is equal to 4%

So it is the first answer

To find ΔHrxn for Zn(s) + HCl(aq) heat, we use q = cmΔT and track down q = - 582.4 J, it is exothermic to show the response. ΔHrxn is equivalent to - 582.4 J, meaning the response discharges heat.

We can involve the condition for the adjustment of intensity energy, q = cmΔT, to ascertain ΔHrxn for this response.

q = heat energy change = cmΔT

where c = explicit intensity limit of the arrangement = 4.18 J/g⋅∘C

m = mass of the arrangement = thickness of the arrangement x volume = 1.0 g/mL x 50.0 mL = 50.0 g

ΔT = change in temperature = 24.3 ∘C - 21.5 ∘C = 2.8 ∘C

In this way, q = (4.18 J/g⋅∘C)(50.0 g)(2.8 ∘C) = 582.4 J

Since the response is exothermic (the arrangement discharges heat), the ΔHrxn will be negative, meaning the response discharges heat.

ΔHrxn = - q = - 582.4 J

Subsequently, the ΔHrxn of Zn(s) with HCl(aq) is - 582.4 J.

To find ΔHrxn, the intensity energy change, for the response of Zn(s) with HCl(aq), we utilize the condition q = cmΔT. The particular intensity limit of the arrangement is 4.18 J/g⋅∘C, the mass of the arrangement is 50.0 g, and the adjustment of temperature is 2.8 ∘C. In this way, q = - 582.4 J, meaning the response discharges heat, and ΔHrxn = - 582.4 J. This computation shows that the response of Zn(s) and HCl(aq) discharges heat, making it exothermic.

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The complete question is:

Zinc metal reacts with hydrochloric acid according to the following balanced equation.

Zn(s)+2HCl(aq)→ZnCl2(aq)+H2(g)

When 0.105 g of Zn(s) is combined with enough HCl to make 50.0 mL of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 21.5 ∘C to 24.3 ∘C.

Find ΔHrxn for this reaction as written. (Use 1.0 g/mL for the density of the solution and 4.18 J/g⋅∘C as the specific heat capacity.)

The expression can be written as 5¹/₂₅.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is 5 and 1 over 25. The mixed fraction can be written as:-

E = 5 and 1 over 25

E = 5¹/₂₅.

Therefore, the expression can be written as 5¹/₂₅.

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68.26% of all possible z values are contained between -1 and 1.

The formula for the 68-95-99.7 rule states that 68% of the data should fall within 1 standard deviation of the mean, 95% of the data should fall within 2 standard deviations of the mean, and 99.7% of the data should fall within 3 standard deviations of the mean. Therefore, for a standardized normal distribution, 68.26% of all possible z values are contained between -1 and 1.

To calculate this, first recall that for a normal distribution, the mean is 0 and the standard deviation is 1. Then use the 68-95-99.7 rule to determine that 68% of the data should be contained within 1 standard of the mean. Since the mean is 0, this means that 68% of the data should be contained between -1 and 1. Therefore, 68.26% of all possible z values are contained between -1 and 1.

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Answer:

32

2×2×2×2×2 = 32

2^5 = 32

Answer:

y = 3x - 11

Step-by-step explanation:

parallel lines have the same slope

y - y1 = m(x - x1)     point slope form, plug in the point (5,4)

y - 4 = 3(x - 5)    put this in slope-intercept form

y - 4 = 3x - 15

y = 3x - 11

The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

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There are 756,756 ways to select the senatorial committee from the given pool of candidates.

The number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats can be calculated as the number of combinations of 10 items taken 5 at a time (number of ways to select 5 Democrats) multiplied by the number of combinations of 15 items taken 5 at a time (number of ways to select 5 Republicans).

The number of combinations of 10 items taken 5 at a time is given by:

10 choose 5 = 10! / (5! * (10 - 5)!) = 252

The number of combinations of 15 items taken 5 at a time is given by:

15 choose 5 = 15! / (5! * (15 - 5)!) = 3003

Multiplying these two combinations, we get the total number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats:

252 * 3003 = 756756

Therefore, there are 756,756 ways to select the senatorial committee from the given pool of candidates.

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True , Their mistakes will be connected if you fit a slope and intercept at the same time. If more than one theory can explain a measurement, then the measurement cannot be used to differentiate between the two hypotheses.

What are theories and an example?

An assertion that reflects the relationship between precisely two variables is known as a simple hypothesis. a dependant and a single independent.

                                      As an illustration, consider the statement "Smoking is a significant cause of lung cancer." Smoking is an independent variable whose effect on lung cancer is dependent.

What is hypotheses, and what are its purposes?

A hypothesis serves as an answer to the research question and directs the gathering and analysis of data, as was previously mentioned.

                         Using a hypothesis, researchers can predict relationships between variables based on theoretical precepts and/or actual data in addition to discovering relationships between variables.

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Answer:

n/a

Step-by-step explanation:

Where's the diagram?

The value of x is 12.

When two or more parallel lines are intersected by a straight line, then the line is said to be a transversal. These produces a series of angles which have some common properties.

In the given question, the lines l, m and n were cut by two transversals. Thus we can compare the corresponding parts of line segments.

We have;

x/ 35 = 14/ 41

cross multiply to have;

41x = 35*14

     = 490

x = 490/ 41

  = 11.9512

Thus, the value of x is 12.

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