Out of all the readers who visit a blog, 11% click on an advertisement. Predict how many readers will click on an advertisement if 500 people visit the blog in one day.

Check the picture below.

\((x+4)+2x=115\implies 3x+4=115\implies 3x=111 \\\\\\ x=\cfrac{111}{3}\implies x=37\)

Answer:

50.266 or 50.27

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Given:

77 + 20 = 97

450 + 20 = 470

Keep multiplying 97 with random numbers until it passes 470.

97 × 4 = 388

97 × 5 = 485

So, the skier will have to pay daily passes 5 times to be more expensive than the season pass.

Hope this helped.

Answer:

D) x = 4

Step-by-step explanation:

18 - 4x = 10 - 2x

10 - 2x = 18 - 4x

10 - 2x + 4x = 18 - 4x + 4x

10 + 2x = 18

10 - 10 + 2x = 18 - 10

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

The expression that represents the trains travel in kilometers per hour (r) based on how many hours the trip takes (t) is

Information from the question

A train will travel 300 kilometers at a constant rate

the train's rate in kilometers per hour (r)

hours of trip t

Rate of travel is the ratio of the distance covered to time this is written with the formula

= distance traveled / time

The distance traveled  is given to be 300 kilometers

the train's rate in kilometers per hour (r)

r = 300 / t

Therefore the expression for  trains travel in kilometers per hour (r) is calculated to be  r = 300 / t

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Answer:

the equation needed is ,    r = 300/t

the train's rate if the trip takes 1.5 hours is =     200

Step-by-step explanation:

I just got it right on khan academy :3

In the provided triangle, there are a total of 12 lengths for TP.

A triangle is a polygon with three edges and three vertices.

It belongs to the basic geometric shapes.

A triangle having vertices A, B, and C is known as triangle ABC.

Any three locations in Euclidean geometry that are not collinear result in a distinct triangle and a distinct plane.

So, triangles TIP and TOP have sides and are isosceles triangles;

TI = 5, PI = 7, PO = 11,

The length of segment TP will therefore be equal to either segment TI's or segment PI's length because triangle TIP is an isosceles triangle, resulting in;

TP = TI 5 or TP = PI = 7.

The total lengths for TP are equal to the sum of the two unequal sides of the triangle TIP.

For TP, there are a total of 5 + 7 = 12 lengths.

Therefore, in the provided triangle, there are a total of 12 lengths for TP.

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Answer:

-32

Step-by-step explanation:

The absolute value of a number is its distance from 0. Since distance is always positive the absolute value is the same number but positive. So the absolute value of -32 and 32 would both be 32 because they have the same distance from 0.

minimum:10

output :509

maximum:5

output: 634

Explanation

Step 1

graph the function:

to do this, you need put values for x, and you will get a set of values for y, those formed pairs are the coordinates,

we can see, there are a minimun and a maximum

Step 2

find the minimum

To find the local minimum of any graph, you must first take the derivative of the graph equation, set it equal to zero and solve for

a) derivate

To take the derivative of this equation, we must use the power rule

solve for x by applying the quadratic formula

then, let's find the output when x=5

so,infelection point is (5,634)

Step 3

Now, the output when x=10

inflection point (10,509)

Step 3

so, at x=5 and x=10 we have two inflection points, to know if those points are minimum we need to check the second derivate of the fucntion

now, check if f''(x) is greater than zero

a)at x=5

it is smaller than zero, it means (5,634) is a maximum

b)at x=10

it is greater than zero, it means (10,509) is a minimum

I hope this helps you

The true statements about quadratic function are statement I and III.

We can use the discriminant of the quadratic equation to determine the validity of each statement:

The discriminant of the quadratic equation nx² + 7√n x + n = 0 is:

Δ = (7√n)² - 4n² = 49n - 4n².

I. For any n, the roots are distinct.

For the roots to be distinct, the discriminant Δ must be positive.

Therefore, we must have:

49n - 4n² > 0

n(49 - 4n) > 0

This inequality is satisfied when n < 0 or n > 49/4. However, n is a positive integer, so the only valid solution is:

n ≥ 13/4

Therefore, for any n ≥ 4, the roots are distinct. Statement I is true.

II. There are infinitely many values of n for which both roots are real.

For both roots to be real, the discriminant Δ must be non-negative.

Therefore, we must have:

49n - 4n² ≥ 0

n(49 - 4n) ≥ 0

This inequality is satisfied when 0 ≤ n ≤ 49/4. Since n is a positive integer, there are only a finite number of solutions for n, namely n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Therefore, statement II is false.

III. The product of the roots is necessarily an integer.

The product of the roots is given by:

n²/(nx² + 7√n x + n) = n/(x + 1/√n)

Since the roots are distinct, the product is:

n/(x1 + 1/√n)(x2 + 1/√n)

This expression simplifies to:

n/(nx² + 7√n x + n + 1) = 1/(x + 1/7√n)

Since x is a root of the quadratic equation, we have:

nx² + 7√n x + n = 0

Therefore, the product of the roots is:

n/(n + 1) = 1 - 1/(n + 1)

Since n is a positive integer, n + 1 is also a positive integer, and the product of the roots is an integer minus a fraction.

Therefore, statement III is true.

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The complete question is below:

Consider the quadratic equation nx² + 7√(nx) + n = 0,  where n is a positive integer.

Which of the following statements are necessarily correct?

I. For any n, the roots are distinct.

II. There are infinitely many values of n for which both roots are real.

III. The product of the roots is necessarily an integer.

Answer:

A: x=6

Step-by-step explanation:

The formula for the number of ways to distribute `m` distinguishable balls into `n` distinguishable urns is: C(m + n - 1, n - 1)

The formula for the number of ways to distribute `m` distinguishable balls into `n` distinguishable urns is:

C(m + n - 1, n - 1)

where C(n, k) represents the binomial coefficient, also known as "n choose k".

In this case, the formula becomes:

C(m + n - 1, n - 1)

This formula accounts for the fact that we can think of placing `m` balls and `n-1` dividers (or "bars") in a line, and the number of ways to arrange them represents the distribution of balls into urns.

The m + n - 1 represents the total number of spaces in the line (balls + dividers), and choosing n-1 spaces to place the dividers separates the line into n sections, corresponding to the urns.

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The interval of convergence is empty or the series converges at a single point x = 2.

We can use the rate test to determine the interval of the confluence of the power series:

lim ┬( n → ∞)|((- 8)( n 1)( n 1))(( n 1)( 2) 1).(x-2) 3|/|((- 8) n n)/( n2 1).(x-2) 3|

= lim ┬( n → ∞)|(- 8) n( n 1)( n2 1)/ n(x-2) 3( n2 2n 2)|

= lim ┬( n → ∞)|(- 8)( 1 1/ n)( 1 1/ n2)/( 1 2/ n 2/ n2) ·( 1/( 1- 2/ n) 3)|

= |(- 8)( 1)( 1)/( 1)( 13)| = 8

The rate test tells us that the series converges if the limit is lower than 1, and diverges if the limit is lesser than 1. Since the limit is 8, the series diverges for all x.

thus, the interval of confluence is empty or the series converges at a single point x = 2.

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Answer:

Six movie channels, because 5(6) + 50 = 6.5(6) + 41

Step-by-step explanation:

Answer:

okay lest see . the thing is that I can see clear the picture so . And I can see the first one

Answer:

Step-by-step explanation:

Hmmm

A scatter plot is used to identify trends in data. The points plotted in a scatter plot are composed of an X-coordinate and a Y-coordinate, which represents the value of two different variables. For example, if one variable is the height of a person, and the other variable is their weight, then a scatter plot could be used to represent the relationship between these two variables.

Scatterplots are generally used to determine the association between two quantitative variables. A scatter plot shows whether there is a positive or negative correlation or if there is no correlation between two variables.

According to the given terms, the following accurately describe this scatterplot:C- There is linear associationThe term "linear association" is used to describe a relationship between two variables where the change in one variable is proportional to the change in the other variable.

If two variables are linearly associated, their scatterplot will have a trendline that is approximately a straight line.E- There is negative slope

The term "slope" is used to describe the steepness of the trendline in a scatterplot. A negative slope means that as one variable increases, the other variable decreases.

Therefore, in this scatterplot, there is a negative association between the two variables.

A scatter plot is an efficient tool for identifying trends in data, and it can be used to represent the relationship between two different variables. In the given scatterplot, the relationship between the two variables is linear, and there is a negative slope.

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A linear function has an equation of y = mx+b where m = slope and b = y-intercept. The function also has a line graph. By a line graph, the graph must have slope. That means the slope must not equal to 0 or undefined to be a linear function.

Further Explanation

A linear function has both domain and range as set of all real numbers because you are able to solve for x-term when inputting any y-value or solve for y-term when inputting any x-value. We can also find the x-intercept by substituting the value of y to 0 and basically solve for x-term. If we want to know the y-intercept, we can substitute x-term to 0 and solve for y. But most people would only look at b-term from y = mx+b because b-term is the y-intercept of function.

From your question, the function is indeed a linear function. The m-term and b-term both are from y = mx+b where m = slope and b = y-intercept.

Therefore, from y=6x+2. The m-value would be 6 and b-value would be 2

Given:

Loan = P = $48,000

Simple interest rate = r = 2% = 0.02

Time = t = 9 years

So,

The interest = I =

Total amount =

To find the monthly payments, we will divide the total amount over the number of months of the nine years

so,

The monthly payments =

Answer:

x =2

Step-by-step explanation:

If an oil company purchased an option on land in alaska with probabilities P(high - quality oil) = 0.5, P(medium quality oil) = 0.20 and P(no oil) = 0.30 , the probability of finding oil is 0.7, or 70%.

The probability of finding oil can be calculated by adding the probabilities of finding high-quality oil and medium-quality oil, as they are the only two scenarios in which oil is present. Therefore, the probability of finding oil is:

P(oil) = P(high-quality oil) + P(medium-quality oil)

P(oil) = 0.5 + 0.20

P(oil) = 0.7

There there is 0.7 or 70% probability that the oil is found in alaska using these given probabilities.

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Complete question is:

An oil company purchased an option on land in alaska. preliminary geologic studies assigned the following prior probabilities.

P(high - quality oil) = 0.5 ,P(medium quality oil) = 0.20 ,P(no oil) = 0.30

What is the probability of finding oil?

When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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Answer: See attached for the graph. There is an undefined slope and no y-intercept.

Step-by-step explanation:

      See attached for a graph. Since this is only greater than, (>) we will use a dashed line. Then we will shade everything greater than -4.

      The slope of this graph is undefined because this line is straight up and down. If we try to write it as an equation, you end up dividing by zero (which ends up undefined)

      Lastly, there is no y-intercept. Since this line does not cross the y-axis, there is no point of intersection.

Answer:

f(10)=27000

Step-by-step explanation:

f(x)=3x^3

f(10)=(3*10)^3

f(10)=(30)^3

f(10)=27000

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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Answer:

we cant see it

Step-by-step explanation:

Answer:

Addition Property

Step-by-step explanation:

After 5 years, the car will be worth approximately $33,264. The depreciation rate of 9% per year causes the value of the car to decrease over time.

To calculate the value of the car after 5 years, we need to determine the depreciation amount for each year and subtract it from the original value.

The depreciation rate of 9% means that the car's value decreases by 9% each year. To calculate the depreciation amount for the first year, we multiply the original value of $48,000 by 9% (0.09), resulting in a depreciation of $4,320. Subtracting this amount from the original value gives us $43,680.

For subsequent years, we repeat the process by multiplying the depreciated value from the previous year by 9% and subtracting it. After 5 years, the car's value will be approximately $33,264.

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Answer:

x= negative 1 and 2/5 y=1 and 3/5

Step-by-step explanation:

1. Start by putting both equations into slope-intercept form.  (y=mx+b)

-3x+3y=9

-3x+3x+3y=9+3x

3y=9+3x

3y/3=9+3x/3

y=3+x

2x-7y=-14

2x-2x-7y=-14-2x

-7y=-14-2x

-7y/-7=-14/-7-2x/-7

y=2+2/7x

2. Graph the equations and find where they intercept.