Find the equation of the line perpendicular to the line y=-1, going through the points (-5,4) using the formula y-y1=m(x-x1)

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

The evaluation of the statements with regards to the graph of a function are;

A function maps an input value to an output based on a definition or rule.

First part of the statement;

The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞

The equation of a straight line function is of the form; y = m·x + c

Therefore;

The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.

Second part of the statement.

The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.

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The required solution is 5+39e.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 5, so we write it as (X+5). The product is four times (X+5), so we write it as 39(X+5). Set it equal to e, as per the question, 5+39e

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer: To solve this problem, we need to calculate the interest earned by Golda on her loan to Tida and subtract the interest paid to Yovvne.

First, let's calculate the interest paid by Golda to Yovvne on the loan of 4500 at a rate of 10% per year for 4 years:

Interest paid by Golda to Yovvne = Principal x Rate x Time

= 4500 x 0.10 x 4

= 1800

So Golda paid 1800 in interest to Yovvne over 4 years.

Next, let's calculate the interest earned by Golda on her loan to Tida of 4500 at a rate of 11.5% per year for 4 years:

Interest earned by Golda from Tida = Principal x Rate x Time

= 4500 x 0.115 x 4

= 2070

So Golda earned 2070 in interest from Tida over 4 years.

Therefore, Golda's net gain after 4 years is:

Net gain = Interest earned from Tida - Interest paid to Yovvne

= 2070 - 1800

= 270

Golda's net gain after 4 years is 270.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

25/5=5, 5+7=12, 4*3=12, 12-12=0

Answer:

The answer is 0

Step-by-step explanation:

The order of the operations is:

So first multiply \(4 \cdot 3 = 12\) and after divide \(\frac{25}{5} = 5\) and sum this result to 7 for substract to -12.

We get the number of nonnegative integer solution for the given pair of equations as 36 and 105 respectively.

The number of non-negative integer solutions of x1+x2+x3=7 is the number of permutations of a multiset with seven 1's, and two +'s. This is

9!/7!2! = 36

Similarly, the number of non-negative integer solutions of x4+x5+x6=13 is the number of permutations of thirteen 1's, and two +'s. This is

15!/13!2! = 105

This is why the first number in your combination is what the variables equal, and the second is "one less" the amount of variables, since you're permuting the +'s.

Hence we get the required answer.

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How many nonnegative integer solutions are there to the pair of equations x1+x2+…+x6=20 and x1+x2+x3=7?

Answer:

do you no mythpat i don't known this ans because i am In class 5

Answer:

45/18 = 2.5

Step-by-step explanation:

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).

To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.

The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

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Answer:

iT IS A FUNCTION

Step-by-step explanation:

Example: In {8, 11, 5, 9, 7, 6, 3616}:

\(\huge \bf༆ Answer ༄\)

Let's solve ~

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

Parallelograms and trapezoids are both two-dimensional shapes with four sides. While they share similarities, there are some key differences between the two that help to distinguish them from each other. In this essay, we will discuss the key differences between parallelograms and trapezoids and explore how these differences can help us to identify each shape.

A parallelogram is a two-dimensional shape with four sides and two sets of parallel lines. It is a quadrilateral with opposite sides parallel to each other and opposite angles equal. A parallelogram can also have opposite sides of equal length, which is known as a rhombus. Examples of shapes that are parallelograms include squares, rectangles, and rhombuses.

A trapezoid is also a two-dimensional shape with four sides. However, unlike a parallelogram, a trapezoid only has one set of parallel lines. The two non-parallel sides of a trapezoid are called the legs, while the two parallel sides are called the bases.

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H0 is the null hypothesis stating with that the population proportion of

puppies who are spotted is less than or equal to 0.25,

H0: p <= 0.25

H1: p > 0.25

In a scientific setting, a hypothesis (plural: hypotheses) is a tested

claim regarding the causal connection between two or more variables

or a suggested explanation for a phenomenon that has been

observed.

where H0 is the null hypothesis stating that the population proportion

of puppies who are spotted is less than or equal to 0.25, and H1 is the

alternative hypothesis stating that the population proportion of puppies

who are spotted is greater than 0.25.

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Answer: 80

Step-by-step explanation: If he is 20% complete, then 20 x 5 is 100. So if we want to get 100%, then we have the multiply. Now he did 16 questions, so we have to multiply 16 five times. 16 x 5

Hoped this helped!

Answer:

Area = 200 + 50 + x

Step-by-step explanation:

Given

Length = 20

Width = 30

Side Walk = x

Required

Determine the area.

To do this we need to get the new worth and length by adding the length of the sidewalk.

This gives:

Length = 20 + x.

Width = 30 + x

So, area becomes.

Area = (20 + x)(30 + x)

Area = 600 + 20x + 30x + x²

Area = 200 + 50 + x²

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Answer:

7x + 2

Step-by-step explanation:

4(3x-2)-10x+5(x+2)

12x - 8 - 10x + 5x + 10 = 7x + 2

Answer:

7x-6

Step-by-step explanation:

ok so um to remove the brackets you would want to multiply the number outside the brackets

12x-8-10x+5x+2

now you want to combine like terms

7x-6

I hope this helps you!!!

Have a good day!!!!!

Answer:  see below

Step-by-step explanation:

1) Foci is plural for Focus.  Since a hyperbola has two focus points, they are referred to as foci.  The foci is where the sum of the distances from any point on the curve to the foci is constant.

2) When determining the equation of a hyperbola you need the following:

    a)  does the hyperbola open up or to the right?

    b)  what is the center (h, k) of the hyperbola?

    c)  What is the slope of the asymptotes of the hyperbola?

3) The equation of a hyperbola is:

\(\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1\)

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

g(x) = f(x + 2) - 4

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

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According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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The given statement 53 + x = x - 4 is not a valid equation and 53 = -4 it means that there is no solution.

The expression on the left-hand side of the equals sign is usually referred to as the "left-hand side" or "LHS" of the equation, and the expression on the right-hand side of the equals sign is usually referred to as the "right-hand side" or "RHS" of the equation.

Let's call the unknown number "x".

According to the problem, the sum of 53 and x is 4 less than x. This can be expressed as:

53 + x = x - 4

We must place x on one side of the equation alone in order to solve for it. By removing x from both sides of the equation, we can do this:

53 = -4

This is not a valid equation, and it means that there is no solution.

For example, the equation 2x + 3 = 7 is a simple equation with one variable (x). In this equation, 2x + 3 is the left-hand side and 7 is the right-hand side. To solve this equation, we need to find the value of x that makes both sides equal. We can do this by subtracting 3 from both sides of the equation, and then dividing both sides by 2. This gives us:

2x + 3 - 3 = 7 - 3

2x = 4

x = 2

So the solution to this equation is x = 2.

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The sum of 53 and a number is 4 less than the number. Find the numbers?

Answer:

y=-x+4

The equation is in the form y=mx+c, where m is the slope and c is the y-intercept, so we know that the slope (m) is -1, and the y-intercept (c) is 4.

The y-intercept is the value of y when x=0. So you can mark (0,4) as a point on the line.

The next thing I would do is take any value for x and find another point on the line. Let's let x=2:

y=-2+4

y=2

So now we know another point on the line (2,2). Mark this on the graph too.

Then connect these two points and extend to the line to finish off your graph, and you're done!

(PS: if the whole 'y-intercept' thing gives you a headache, you can just pick any two values for x, sub them in to find the points, mark those points and connect. There's also a method for graphing using just the slope and y-intercept, but the method above is usually what people prefer to do)

I've attached a sketch that corresponds to my answer to give you an idea: