Encuentra la razón de cambio de la siguiente tabla:
x 1 2 3 4 5
y 6 11 16 21 27​

Answer:

Step-by-step explanation:

n x 5

The formula Z = (x− μ)/ σ is used to calculate the z-score, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

What is a z-score?

When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score.

Here,

We have to find out the use of the formula Z = (x− μ)/ σ.

We concluded that the formula Z = (x− μ)/ σ is used to calculate the z-score.where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.

Hence, the formula Z = (x− μ)/ σ is used to calculate the z-score.

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Answer:

(x+1)^2=49

x=6. x=-8

Step-by-step explanation:

x^2 + 2x - 48 = 0

add 48 to each side

x^2+2x=48

take the coefficient of x

2

divide by 2

2/2=1

Square it

1^2=1

x^2+2x+1=48+1

x^2+2x+1=49

(x+1)^2=49

take the squere root of each side

sqrt((x+1)^2)=+sqrt(49)

x+1=+7

subtract 1 from each side

x+1-1=-1+7

x=-1+7. x=-1-7

x=6. x=-8

The length of the rectangle is 26 centimeters and the width of the rectangle is 24 centimeter

From the question, we are to determine the length and width of the rectangle

Let the length be l and the width be w

From the given information,

"The length and width of a rectangle are consecutive even integers"

That is,

l = w + 2

Also, from the given information

"The perimeter of the rectangle is 100 centimeters"

From the formula for perimeter of a rectangle,

P = 2(l + w)

Then,

100 = 2(l + w)

Substitute the first equation into the second equation

100 = 2((w + 2) + w)

100 = 2(w + 2 + w)

100 = 2(2w + 2)

Divide both sides by 2

50 = 2w + 2

2w = 50 - 2

2w = 48

w = 48/2

w = 24 cm

Substitute the value of w into the first equation

l = w + 2

l = 24 + 2

l = 26 cm

Hence, the length is 26 cm and the width is 24 cm

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Answer:

The two numbers are 56 and 23.

Step-by-step explanation:

Let the two numbers be A and B.

We are told that:

A+B = 79, and

2)  3A + 5B = 283

Rearrange the first expression to isolate A:

A = 79-B

Now use this value of B in the second expression:

3A + 5B = 283

3(79-B) + 5B = 283

237-3B + 5B = 283

2B = 46

B = 23

If B=23, we can find A from (1):  

A+B = 79

A+23 = 79

A = 56

CHECK:

Does A+B = 79?

56 + 23 = 79?  YES

Does 3A + 5B = 283?

  3(56) + 5(23) = 283?

 168 + 115 = 283?  YES

The total cost of the laptop with sales tax included is to the nearest cents is 747.24 dollars.

A sales tax is a consumption tax imposed by the government on the sale of goods and services

In other words, sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at a retail

A laptop has a listed price of $699.99 before tax.

The sales tax rate is 6.75%.

Total cost of the laptop with sales tax included can be calculated as follows:

sale tax = 6.75% of 699.99

sale tax = 6.75 / 100 × 699.99

sale tax =  4724.9325 / 100

sale tax = 47.249325 dollars

Therefore,

Total cost of the laptop with sales tax included =  47.249325 + 699.99 = 747.239325 dollars = 747.24 dollars.

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After 3 years, the balance in the account would be approximately $2,708.

To find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final balance

P is the principal amount (initial deposit)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

In this case:

P = $2500

r = 2.5% = 0.025 (as a decimal)

n = 12 (monthly compounding)

t = 3 years

Plugging in these values into the formula, we get:

A = $2500(1 + 0.025/12)^(12*3)

A = $2500(1.00208333333)^(36)

Using a calculator, we can evaluate the expression inside the parentheses and calculate the final balance:

A ≈ $2500(1.083282498) ≈ $2708.21

Therefore, after 3 years, the balance in the account would be approximately $2,708.

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Answer:

C) 23

Step-by-step explanation:

If the computer monitor is 20 inches wide, and 12 inches high, we can solve for the diagonal by using the Pythagorean theorem.

Let a = the width, let b= the height, let c = the diagonal.

a^2 + b^2 = c^2

20^2 +12^2 =c^2

400 + 144 = c^2

544 = c^2

C is approximately equal to 23 inches.

Let me know if this helps!

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:This is FALSE Linear equations that share the same slope are PARALLEL.

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A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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she would have saved $650

The BEST choice for two perpendicular lines is: e) Their slopes are the reciprocal negatives of one another.

Perpendicular lines are those that cross at a correct angle when two separate lines share a plane. Vertical and horizontal lines, or the axes of a coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.

If two lines intersect at the a right angle in Euclidean geometry, they are said to be parallel (90 degrees).

When two lines are parallel, their slopes are the reciprocal of each other's negative values. A slope of the second line would be "-1/m" if the curve of the initial line is "m."

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Answer:

It's rational because it's not a decimal numbet

Based on the data shown by the scatterplot on the distances in the solar system, a. an exponential model is appropriate because the scatterplot relating distance to temperature is curved.

The usage of the natural log to transform some of the variables resulted in the scatterplot of temperature v. distance ratio being curved.

As a result, a linear model cannot be used. The best model will therefore be an exponential model which is best for curves in a scatterplot.

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Answer:

the person above me is correct.

Step-by-step explanation:

Based on the part amortization schedule, the TRUE statement is C. The amount applied to ...

Data and Calculations:

Loan amount or principal = $12,240

Interest rate on loan = 8.71%

Month    Payment     Principal     Interest      Balance

13           $387.58       325.82         61.76       $8,182.71

14           $387.58       328.19         59.39       7,854.52

15           $387.58      330.57         57.01        7,523.95

16           $387.58      332.97         54.61        7,190.99

17           $387.58      335.38         52.19       6,855.60

18           $387.58      337.82        49.76        6,517.78

19           $387.58     340.27         47.31         6,177.51

The payment amount does not change each month.  The principal amount is not decreasing each month, nor is the interest amount is not increasing.

Thus, based on the part amortization table, the TRUE statement is C. The amount applied to ...

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Answer:

The correct answer is D. Enough to feel rested.

The Type I error in this case would be if we conclude that the mean number of years Americans work before retiring is not 34, when in reality it is 34 years.

In statistical hypothesis testing, there are two different sorts of errors that might happen: type I and type II.

while the null hypothesis is wrongly rejected while it is true, this is referred to as a type I error, also referred to as a false positive.

The null hypothesis is mistakenly accepted when it is wrong, which is known as a type II error, or false negative.

This would mean that we have falsely rejected the null hypothesis (that the mean is 34 years) and made a mistake by assuming that the mean is different than it actually is. The Type II error would be if we conclude that the mean is 34 years, when in reality it is not 34 years. This would mean that we have falsely accepted the null hypothesis and made a mistake by assuming that the mean is the same as it actually is not.

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In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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Answer:

c. Y= x - 4

Step-by-step explanation:

slope is 1, y intercept is -4

you can also solve by plugging points into each equation

Answer:

1,000,000

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Hi,

4 + 2x - x = -3x - 4

4 + x = -3x - 4

x = -3x - 8

4x = -8

x = -2

Hope this helps :)

Geometric sequence

an = a1 r ^(n-1)

____________________

f(n)=1/2*4^n, n≥0

in this case a1= 1/2

r = 4

n= 0 (you just replace n)

f( 0 )=1/2*4^0

f(0) = 1/2 =1/ 2

n f(n)

0 f(0) = 1/ 2 f( 0 )=1/2*4^0

1 f(1) = 2 f( 0 )=1/2*4^2 = 4/2

2 f(2) = 8 f( 0 )=1/2*4^2 = 16/2

3 f(3) = 32 f( 0 )=1/2*4^2 =64/2

4 f(4) = 128 f( 0 )=1/2*4^2 = 256/2

We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

Answer:

Step-by-step explanation:

2 subtraction symbols equals a plus

so the answer is 9

Expression consist of numbers, variables, and mathematical operations. The equation that is true is x²+mx+m= (x+2)².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the x²+mx+m is a perfect square trinomial, and we know that the general equation of perfect square trinomial  is given as,

ax²+bx+c=0

where a,b and c are real numbers, and a≠0,

if we compare the equation with our equation

\(ax^2+bx+c=0\\x^2+mx+m=0\)

We will get the value of 'a' as 1, b=c=m, therefore, we need a binomial which is when expanded then in its perfect square trinomial the value of b=c, therefore, the only feasible option here is (x+2)².

Hence, the equation that is true is x²+mx+m= (x+2)².

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Answer:

The answer is 6

Step-by-step explanation:

y=3

-3+y²

-3+(3)²

-3+6=6