Math 8th grade please help !!!! ;) highly appreciated

Answer:

Step-by-step explanation:

Given the expressions :

The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent.

Write a pair of linear equations using variables of your choice to prove that these two statements are not equivalent.

Let the original price = x

Expression 1 : The list price of the item is 80 percent of the original price

List price = 80% of x

List price = 0.8x

Expression 2: The price of the item has been reduced by 80 percent

Price = x - 80% of x

Price = x - 0.8x

Price = 0.2x

Multiply by percentages is different from an Incremental or decrement in percentage. The first expression above signifies a direct multiplication by the stated percentage while the second signifies a decrease in price based on a certain percentage of the original price.

Wording of percentages are so important for clarity in other to understand if the statement signifies a direct application of the percentage prescribed or a change in quantity, amount or size relative to the base unit.

Answer:

(50/12) + (2x) = L

Step-by-step explanation:

Let's assume the length of the wall is represented by "L" feet. Since we're given that the distance between the pictures and the distances from each picture to the end of the wall are the same, we can represent that distance as "x" feet.

To form the equation, we can consider the total length of the wall and the space occupied by the two pictures and the gaps between them.

The total length of the wall is "L" feet, and each picture is 25 inches across, which is equivalent to (25/12) feet. So, the combined width of the two pictures is (2 * 25/12) feet.

We have two gaps, one between the first picture and the end of the wall, and another between the second picture and the other end of the wall. Each gap has a length of "x" feet.

To set up the equation, we can add up the widths of the pictures and the gaps, and it should equal the total length of the wall:

(2 * 25/12) + (2 * x) = L

Step-by-step explanation:

The answer is (50/12)+(2x)=L

wait do you mean that one magazine is 2/11 inches thick

Answer:

99

Step-by-step explanation:

14+85=99

The value of f¹(x) = x/5

What is function?

A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input.

We are given f(x) = 5x

and we are to find inverse of f(x).

Replace f(x) by y.

So,

y = 5x

Isolate x

x = y/5

Replace x by f'(y)

So,

f'(y) = y/5

Replace all occurrences of y by x.

So,

f'(x) = x/5

Therefore, the inverse of function f(x) = 5x is f'(x) = x/5

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we know that p(4) = 7.

This means that if we apply q to 7, we will get 4.

Therefore, q(4) = 7

If p and q are inverse functions, then p(q(x)) = x and q(p(x)) = x. This means that if you start with any number and apply p, then apply q, you will get back to the original number. Similarly, if you start with any number and apply q, then apply p, you will get back to the original number.

In this case, we know that p(4) = 7.

This means that if we apply q to 7, we will get 4.

Therefore, q(4) = 7.

Another Way.

If p and q are inverse functions, then they "undo" each other.

So, if p(4) = 7, then q must "undo" the p function to get back to 4. The only way to do this is if q(7) = 4.

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Answer:

F would be 17 or -11

The level of measurement being used in this scenario is ordinal.

Ordinal data is a type of categorical data where the values have a natural order or ranking. In this scenario, the top five companies are being ranked from first to fifth, indicating a clear order of preference. The order of the companies matters, but the difference between the rankings is not necessarily meaningful. For example, we cannot say that the difference between the first and second ranked companies is the same as the difference between the fourth and fifth ranked companies. Therefore, this data is not interval or ratio, which require a meaningful interpretation of differences between values. It is also not nominal, which is used for data that can be placed into categories without any inherent order or ranking.

what is data?

In mathematics, data refers to a collection of facts, measurements, observations, or information that are gathered through various methods such as experiments, surveys, or studies.

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Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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Answer:

Its value is 1/7.

I hope this will help you.

Suppose that p and q are statements so that p → q is false.

* p: True

* q: False

The truth values of the following statements are:

* ~p → q: False

* p ∨ q: True

* q → p: True

* p → q is false because p is true and q is false.

* ~p → q is false because the antecedent of the implication is false.

* p ∨ q is true because either p or q is true, or both are true.

* q → p is true because the antecedent of the implication is false, and the consequent is true.

In general, the truth value of an implication depends on the truth values of the antecedent and the consequent. If the antecedent is true and the consequent is false, then the implication is false. If the antecedent is false, then the implication is true regardless of the truth value of the consequent. If both the antecedent and the consequent are true, then the implication is true.

In this case, the antecedent of p → q is true and the consequent is false, so the implication is false. The antecedent of ~p → q is false, so the implication is true. The antecedent of p ∨ q is true, so the implication is true. The antecedent of q → p is false, but the consequent is true, so the implication is true.

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C) 24.10

1) Considering that rational numbers are any number that can be written as a ratio.

The number 23.07 is the same as 2307/100 and

The number 24.11 is the same as 2411/100

If we take the number line, we have a rational number 24.10 between those.

Because 24.10 can be written as 2410/100

Therefore, the value of the investment after 3.5 years, rounded to two decimal places, is approximately $2365.15.

Percent (symbol: %) is a way of expressing a fraction or a ratio as a portion of 100. It literally means "per hundred" Percentages are commonly used to express proportions or rates of change. For example, if a store has a 20% discount on a product, it means that the price of the product is reduced by 20% of its original price. Similarly, if a stock price has increased by 10%, it means that the current price is 110% of its original price.

Here,

The formula given for the value of the investment after t years is:

\(V(t) = 2000 * (1 + 0.04/12)12^{12t}\)

To find the value of the investment after 3.5 years, we can substitute t = 3.5 into this formula:

\(V(3.5) = 2000 * (1 + 0.04/12)12^{12*3.5}\)

= 2000 * (1.00333333333)⁴²

≈ 2365.15

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Answer:

above sea level

Step-by-step explanation:

Answer:

x+y=t+a

Step-by-step explanation:

its seems to be the unwanted question

To write an exponential function from a word problem, identify the pattern, determine the initial value, find the growth/decay factor, determine the independent variable, and write the function as y = a * \(b^x.\)

1. Identify the exponential growth or decay pattern: Read the word problem carefully to determine if it describes exponential growth or decay. Look for keywords such as "grows exponentially," "doubles/halves every," or "decays exponentially."

2. Determine the initial value: Identify the starting point or initial value mentioned in the problem. It could be a population size, an initial amount, or any measurable quantity at the beginning.

3. Find the growth/decay factor: Determine the factor by which the initial value increases or decreases over a specific interval. This factor is often given in the problem as a percentage or a rate.

4. Determine the independent variable: Identify the quantity that is changing over time. This could be time itself or any other variable that affects the growth or decay.

5. Write the exponential function: Use the general form of an exponential function, which is y = a * \(b^x\), where 'a' represents the initial value, 'b' is the growth/decay factor, and 'x' is the independent variable. Substitute the values you determined in steps 2-4 into the equation.

6. Simplify and interpret the function: Simplify the equation if possible and interpret the function in the context of the word problem. This involves understanding what the variables represent and how they relate to the situation described. Remember to double-check your work and ensure the function aligns with the problem's details and conditions.

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To write an exponential function from a word problem, follow these steps: identify the exponential growth or decay pattern, determine the initial value and base, write the exponential function using the form y = ab^x, substitute the given values, and simplify if necessary.

To write an exponential function from a word problem, follow these steps:

For example, let's say you have a word problem that describes exponential growth with an initial value of 100 and a growth factor of 1.05. The exponential function would be y = 100 * 1.05^x.

Remember to always carefully analyze the word problem and identify the relevant information to write the correct exponential function.

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Answer:

5 ≤ The number of packages Renna can remove

Step-by-step explanation:

The allowable mass on the elevator is given as 450 kg

The mass of Renna and the packages = 620 kg

The mass of each package = 37.4 kg

The mass Renna should remove from the elevator to meet the mass requirement = 620 - 450 = 170 kg

Therefore, the number of packages, n, Renna should remove can be found from the following inequality

170 ≤ n × 37.4

We note that since the mass of the packages are known, 5 packages weigh 187 kg which is > 170 kg

Therefore, the number of packages to be removed is 170 ≤ n × 37.4 < 187

Dividing by 37.4, we get;

Number of packages to be removed = 4.55 ≤ n < 5 ≈ 5 packages

Given that there whole number packages, we have;

5 ≤ n, which is , 5 ≤ The number of packages Renna can remove.

Answer:

37.4p  ≥ 170

Step-by-step explanation:

5 are in total packages.

Trust me this is the answer because I did this before

Hope this helps ;)

Answer:

Step-by-step explanation:

is this a bot or girl

Answer:

thirteen sixteenths

there are approximately 34 boys in the introductory geology course.

To determine the number of boys in the introductory geology course, we need to calculate the ratio of boys to girls and use the total number of students enrolled.

The given ratio states that there are six boys for every five girls. This can be expressed as 6 boys : 5 girls.

Let's assume the number of boys in the course is represented by B and the number of girls is represented by G.

According to the given information, we can set up the following equation:

6 boys / 5 girls = B / G.

Since the total number of students enrolled in the course is 374, we can write another equation:

B + G = 374.

To solve these equations simultaneously, we can use the concept of proportion.

From the first equation, we can rewrite it as:

6G = 5B.

Now we can substitute this expression into the second equation:

B + G = 374

5B + 6B = 374

11B = 374

B = 374 / 11

B ≈ 34.

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Answer:

0.39 because 1.95 divided by 5 is 0.39

Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

Answer: 0.195

Step-by-step explanation:

given data:

population = 2000 people.

people Who are over 6 feet tall = 389.

Solution:

the point estimate of people over 6feet tall

= no of people over 6 feet tall / total population size

= 389/2000

= 0.195

the point estimate of people over 6 feet tall is 0.195

The we need to find a function f(x) that satisfies the above conditions and whose integral is easy to evaluate.

The answer is (B) diverges.

The answer is (A) converges.

Let's use the integral test to determine the convergence of the following series:

Find the integrand and integrate it.

The integral test states that if f(x) is a positive, continuous, and decreasing function on [1, infinity) such that the series ∑n=1 to infinity of f(n) converges, then the series ∑n=1 to infinity of a(n) also converges, where a(n) = f(n) for all n.

Integrating f(x) from c-1 to infinity, we get:

Integrating f(x) from 1 to infinity, we get:

Compare the sum to the integral.

Since f(x) is positive and decreasing, we can use the integral test to compare the series to the integral.

If the integral converges, then the series converges as well.

If the integral diverges, then the series diverges as well.

The integral ln(11) - ln(c+9) diverges as c approaches infinity, so the series diverges as well.

Since f(x) is positive and decreasing, we can use the integral test to compare the series to the integral.

If the integral converges, then the series converges as well.

If the integral diverges, then the series diverges as well.

The integral ln(10) - ln(1+1/10) converges.

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\((3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8\)

The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

185%

Step-by-step explanation:

Answer:

the interest rate must be 5.585%

Step-by-step explanation:

Answer: The largest area of a rectangle is 32 square units. A rectangle has its base on x-axis and its upper two vertices on the parabola y= 12 - x^2.

Step-by-step explanation:

This is the answer