Given
f
(
x
)
=
1
2
(
8
−
x
)
, what is the value of
f
(
−
10
)
?

The equation that has a solution of x = 2 is given as follows:

A number represents a solution to an equation when we replace each instance of the unknown variable by the number and the equality is true.

For this problem, we have that option b will have a solution of x = 2, as:

-3(7 - 2x) = -1 - 4x

-21 + 6x = -1 - 4x

10x = 20

x = 2.

Hence, replacing x = 2 on the equations, we have that:

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Answer:

A.

Step-by-step explanation:

For every ride you, pay an extra 50 cents with a 10 dollars for admission

i think its C becuase it goes perfectly

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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The logistic model is a modification of the exponential growth model, which takes into account the limitation of environmental resources.

This means that the logistic model considers the carrying capacity of the environment, preventing unrestricted exponential growth forever.

In summary, the logistic model takes into account the limitation of environmental resources and provides a more realistic representation of population growth compared to the exponential growth model.

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Answer:

b = 11.31

a = 12

Step-by-step explanation:

a.

64 + 64 = c^2

c^2 = 128

c = 11.31

answer b = 11.31

b.

soh cah toa

cos = adj/hyp

cos 60 = 6/hyp

hyp = 6/cos 60

hyp = 6/.50

hyp = 12

Step-by-step explanation:

'a' region is    53  out of (53+81+106+85 + 64 = 389)

53/389 ths of the 360 degree circle would be the  a's

53/389  * 360 =    49 degrees

Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:

n = 100, p = 0.5.

The mean and the standard deviation are given by:

Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (59.5 - 50)/5

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

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Answer:

Volume of a sphere can be calculated by this equation

\(v=\frac{4}{3} \pi r^3\)

=> radius is diameter divide by 2

\(v=\frac{4}{3}\:\pi \:\left(\frac{15}{2}\right)^3\)

\(v=\frac{5^3\cdot \:3^2\pi }{2}\)

\(v=\frac{1125\pi }{2}\)

or 1767.14 cm cube

The answer is C

No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

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Answer:

y = -2x+3

Step-by-step explanation:

This is assuming you want the answer in slope-intercept (y = mx+b)

You need to know:

y = The line

m = The slope

b = The y-intercept

Step 1, replace the slope (m):

y = -2x+b

Step 2, replace the y-intercept (b):

y = -2x+3

Conclusion to 'complete the equation of the line whose slope is -2 and y intercept is (0,3)': y = -2x+3

Answer:

90 is the median and 86 is the mean

Step-by-step explanation:

:)

The median of any set of numbers is the middle number of the set when then all the numbers are arranged from smallest to greatest. However, if there is an even number of numbers in the set, just take the average of the two numbers close to the middle

The mode of any set is the number that shows up the most often in the set

The mean of any set is all the numbers in the set divided by the number of numbers in the set

The range is the smallest number of the set subtracted from the largest number of the set.

Hope that helped!

Answer:

\(\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}\)

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

\(\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup }}\)

• The sum of n terms of an AP is

\(\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}\)

• nth term of an AP is given by ,

\(\boxed{\blue{\sf T_n = a+(n-1)d }}\)

Answer: 10.2 (nearest tenth)

Step-by-step explanation:

For this question, you have to find out whether you are using Sin, Cos, or Tan.

For that, you can use SOH CAH TOA to help you.

SOH-the 'S' is for Sin then the 'O' and the 'H' stands for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then then 'O' and the 'A' is for Opposite over Adjacent.

Because you have the Adjacent (the side next to the 22°) and the Hypotenuse (the side opposite the right angle) you would be using Cos.

First you would write:

Cos 22=x/11

Then because you want x on it's own you would do the inverse so you would times Cos 22 by 11.

This would be written as:

11 Cos 22=x

So, x=10.2 (nearest tenth)

Hope this helps :)

The total area of the composite figure, which includes a rectangle and a semicircle, is 119.25 square units.

To calculate the area of the composite figure consisting of a rectangle and a semicircle, we need to find the areas of the individual components and then add them together.

Rectangle: The rectangle has dimensions 8 by 10. The area of a rectangle is calculated by multiplying its length by its width.

Area of rectangle = length * width = 8 * 10 = 80 square units.

Semicircle:

The semicircle has a diameter of 10. The area of a semicircle is half the area of a full circle with the same diameter.

Radius of the semicircle = diameter / 2 = 10 / 2 = 5 units.

Area of semicircle = (π * radius^2) / 2 = (3.14 * 5^2) / 2 = 3.14 * 25 / 2 = 39.25 square units.

Composite Figure:

To find the total area, we add the area of the rectangle and the area of the semicircle.

Total area = Area of rectangle + Area of semicircle = 80 + 39.25 = 119.25 square units.

Therefore, the area of the composite figure is 119.25 square units.

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here is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.

The meteorologist can use probability to determine the likelihood of it raining on a certain number of days in a random sample of 18 days. Based on the past year's records, the probability of it raining on any given day is 21/365, or approximately 0.0575. Using the binomial distribution formula, the probability of it raining exactly 4 times in a random sample of 18 days is:

P(4) = (18 choose 4) * (0.0575)^4 * (1 - 0.0575)^(18 - 4)
P(4) = 0.198

Therefore, there is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.

This probability is based on the assumption that the weather patterns will remain similar to the past year's records.  

more

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Answer:

it can't go to simplest form it has no common numbers  

Step-by-step explanation:

Answer:

35/54 is already in the simplest form. It can be written as 0.648148 in decimal form (rounded to 6 decimal places).

The system of inequalities that represents the number of quarters, x, and the number of dimes, y, that Mai could have is given by:

x + y ≥ 10 and 0.25x + 0.1y < 2

These are the two systems of inequalities that represent the number of quarters, x, and the number of dimes, y, that Mai could have.

Let x be the number of quarters and y be the number of dimes that Mai has. Then, the system of inequalities can be represented as:

Thus, the first inequality is x + y ≥ 10.

Also, Mai has less than $2.00, therefore, the second inequality is 0.25x + 0.1y < 2. The value of x and y are assumed to be non-negative integers.+

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The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.

Therefore, the p-value for study b exists 0.080.

The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.

In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)

Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -

\($p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$\)

simplifying the above equation, we get

\($P \frac{\alpha}{2}=0.040$\)

Substituting the given value in above equation, we get -

Probability values for a two tailed test

= 0.040 + 0.040

= 0.080

Therefore, the p-value for study b exists 0.080.

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Answer:

the following points: (6,-1),(2,-4), and (-2,3)

Step-by-step explanation:

imagine that the y axis is a mirror. Everything that happens is reflected. So (1,2) becomes (-1,2) so your three points are (-6, -1),(-2,-4), and (2,3) when you reflect them, you get the following points: (6,-1),(2,-4), and (-2,3)

Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

Step-by-step explanation:

first a quick check that we really deal with 100 events (experiment results).

14+19+16+16+17+18 = 100

perfect.

so, based on this particular die its own probabilty distribution of the 6 different possible outcomes shows that there might be some imbalances inside the die, or its outside dimensions are not exactly the same, or simply the process of rolling the die is not neutral (not fully random).

in any case, it seems there are some deviations from the normal expected behavior of 1/6 per number.

so, the observed experimental probabilty of rolling a 1 is

(as always, desired cases / total cases)

14/100 = 7/50 = 0.14

which is a little bit less then 1/7.

Answer:

Function

Step-by-step explanation:

A function has each input marked to an output. No two inputs can be the same and have different outputs. However, two different inputs can have the same outputs.

Given the information above, there are three different inputs that have the same output, so this mapping diagram is a function.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

l=-4

Step-by-step explanation:

3l=l-8 3l-l=-8 2l=-8 l=-4

The graph of y = [1/2(x -10)] - 3, compared to the graph of 1/x, represents these following transformations:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The translations for this problem are given as follows:

Additionally, there was a multiplication by 2 in the domain, meaning that the parent function was horizontally compressed by a factor of 2.

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Answer:

9x^8

Step-by-step explanation:

f(x) is a binomial.  Multiplying a binomial by itself results in a trinomial.  In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.

Here this is obtained by squaring the coefficient −3x^4.  We get"

(-3)^2*(x^4)^2  =  9x^8

Answer:

so It A -1{4 + (-4)}

Step-by-step explanation:

take the quiz

Answer:

d, e, f would be the answer but wait for someone to double check me

Answer:

yes it's d,. e,. f.

sorry if it is wrkbg

Given the following equation:

You can solve for "x" by following these steps:

1. You must distribute the negative sign of the left side of the equation:

2. Now you need to add the like terms of the left side of the equation:

3. Apply the Subtraction property of equality by subtracting 7 from both sides of the equation:

4. Finally, you can apply the Division property of equality by dividing both sides of the equation by -2:

The answer is:

Answer:

Part A:  \(\frac{1}{2}\)

Part B: \(\frac{10}{9}\)

Step-by-step explanation:

Part A: What is the reciprocal of 2.

2 is just \(\frac{2}{1}\) in fraction terms. To find the reciprocal, you just have to flip it over. That would get to \(\frac{1}{2}\). Therefore, the reciprocal is \(\frac{1}{2}\).

Part B: What is the reciprocal of 9 over 10?

9 over 10 in numerical terms is just \(\frac{9}{10}\). o find the reciprocal, you just have to flip it over. That would get to \(\frac{10}{9}\). Therefore, the reciprocal is \(\frac{10}{9}\).

Hope this helped! If not, please let me know! <3

Answer:

10/29

Step-by-step explanation:

\(2\frac{9}{10}=\frac{29}{10}\)

Reciprocal of \(\frac{29}{10}= \frac{10}{29}\)