write g(x)=-3x^2+9x +5 in vertex form

We would expect her to roll a 2 approximately 5 times when rolling a fair number cube 30 times.

If a fair six-sided number cube is rolled 30 times, we can expect each face (numbers 1 to 6) to appear approximately an equal number of times. Since there are 6 equally likely outcomes (1, 2, 3, 4, 5, and 6) on the number cube, we can assume that each number has a 1/6 probability of being  rolled on any given roll. Therefore, the expected number of times she would roll a 2 can be calculated as follows:

Expected number of times to roll a 2 = (Probability of rolling a 2) * (Total number of rolls)

= (1/6) * 30

= 5

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coordinatesThe functions involves

If we take a closer look at the functions we can see that

f(x) is a function of x to give a corresponding value of y

g(x) is also a function of x to also give a corresponding value of y also

Both functions meet at the cordinate

Both since both functions are a function of x we can therefore conclude that

Hence,

The correct answer is OPTION C

The prompt provides the position of a child on a circular staircase as she descends from the top of a tower. The child's position in feet and time in minutes are given by a mathematical expression.

The task is to determine the height of the tower.The problem describes the position of a child on a circular staircase, as she descends from the top of a tower. The child's position in feet and time in minutes can be described using a mathematical expression. To determine the height of the tower, we need to use this expression and solve for the unknown variable.

One possible mathematical expression for the child's position is given by:

x(t) = h - r cos(t/2)

where h is the height of the tower, r is the radius of the circular staircase, t is the time in minutes, and x(t) is the child's position in feet from the origin at the base of the tower.

To solve for the height of the tower, we need to find the value of h that satisfies the given expression for all values of t. This can be done by using the initial condition given in the problem: at t=0, the child is at the top of the tower, so x(0) = h.

Thus, we have:

x(0) = h - r cos(0/2) = h - r = 0

Solving for h, we get:

h = r

Therefore, the height of the tower is equal to the radius of the circular staircase.

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The solution to the given system of equation is (-2,7) and (2, -1).

A system of equations are the set of equations where the solution for these equations are the intersecting point between the equations.

The graph denotes the two equations in which one is line and another one is parabola.

These system equation has two solutions.

That is, the point where the curve and line intersect is the solution for the system.

In this graph, the line and the curve intersects at two points,

i.e., (-2,7) and (2, -1).

Hence, the solution to the given system of equation is (-2,7) and (2, -1).

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Answer:

B. Angles that add up to 180°

Step-by-step explanation:

I think that's the answer because supplementary angles add up to 180°

Answer:

there are 18 boys and 6 girls

Step-by-step explanation:

The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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Answer:

1000

Step-by-step explanation!

The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:

P = the amount of money invested (the principal)

r = the interest rate per payment period expressed as a decimal fraction

t = the number of periods

Your formula is

f(x) = 1000(1 + 0.05)^x

In comparison, we can see that the term that represents the amount of money originally invested is 1000.

Answer:

(A) 1,000

Step-by-step explanation:

i just took the test

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 \(Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}\)

Find Area :

\(s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15\)

\(Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\\)

      \(= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}\)

      \(= 42 . 43 \ cm^2\)

Answer:

im not gonna lie cat i have no clue.

Step-by-step explanation:

Answer:

140785

Step-by-step explanation:

A range of fundamental, unchanging values may exist in the world, according to ethical pluralism.

According to ethical pluralism, the world may contain a variety of essential and unchangeable values. There may be more, but happiness and respect for people are two possible ones.

The notion of ethical plurality holds that there are various beliefs about what is "good" and "wrong" (moral norms), some of which may be incompatible and/or out of line with your own personal moral standards. Working in foreign societies, where you could encounter varying norms, is a component of international involvement.

The conviction that there are various viewpoints on a subject, each of which has some truth, but none of which contains the complete truth the conviction that while each moral theory somewhat captures the essence of what it means to live morally, none has the whole picture.

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Lawrence Hinman does not have a clear statement on the best baseball stat for determining the best player in a given year.

Statistics are a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. In baseball, statistics are used to measure the performance of individual players, teams, and even entire leagues. Some common baseball statistics include batting average, home runs, runs batted in, earned run average, and wins. These statistics are used to evaluate the performance of players, compare them to other players, and even predict future performance.

Baseball statistics are a set of metrics used to measure the performance of individual players and teams in baseball. Some common baseball statistics include:

It is likely that different analysts and experts would have different opinions on which stat is the most important for determining the best player in a given year. Some might argue that traditional stats like batting average, home runs, and RBIs are the most important, while others might argue that newer stats like on-base percentage, slugging percentage, and WAR are more informative.

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a) Choose a poem that appeals to you: Select a poem based on personal preference and connection.

b) Read the poem all the way through: Familiarize yourself with the entire poem by reading it from start to finish.

c) Determine the meaning and pronunciation of each word used in the poem: Understand the definitions and pronunciations of all the words in the poem, using a dictionary or seeking assistance if needed.

d) Summarize the central ideas of the poem and determine the poem's mood: Identify the main themes and message of the poem while assessing the overall emotional tone or mood it conveys.

Step 1: Plan to memorize and recite a poem.

a) Choose a poem that appeals to you:

Select a poem that resonates with you, whether it's due to its theme, style, or emotional impact.

Look for a poem that you genuinely enjoy and connect with.

b) Read the poem all the way through:

Take the time to read the entire poem multiple times to understand its structure, rhythm, and flow.

Familiarize yourself with the overall narrative or message the poem conveys.

c) Determine the meaning and pronunciation of each word used in the poem:

Go through the poem line by line, ensuring that you comprehend the meaning of each word.

If there are unfamiliar words, consult a dictionary or seek guidance from your teacher to clarify their definitions and pronunciation.

d) Summarize the central ideas of the poem and determine the poem's mood:

Identify the core themes, symbols, and metaphors present in the poem. Reflect on the emotions evoked by the poem and try to discern its overall mood.

Consider whether the poem is somber, joyful, introspective, or contemplative.

Understanding the central ideas and mood of the poem will influence how you deliver the recitation.

It will help you convey the intended emotions, emphasis, and tone during your performance.

Take your time during each step, allowing yourself to absorb the poem's essence.

Practice reciting the poem aloud, focusing on articulation, intonation, and the appropriate expression of emotions.

With dedication and practice, you will be able to confidently memorize and recite the poem, bringing its beauty and meaning to life.

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The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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Answer:

1013

Step-by-step explanation:

(6)(7)(8−0)(3)+5

=42(8−0)(3)+5

=(42)(8)(3)+5

=(336)(3)+5

=1008+5

=1013

Answer:

63

Step-by-step explanation:

28/4 = 7 windows per hour

7 × 9 = 63 windows in 9 hours

Answer:

Step-by-step explanation:

V=15

fraction of cylinder volume is=22

The original slope's reciprocal will be the opposite of the perpendicular slope. To determine the intercept, b, enter the supplied point and the new slope into the slope-intercept form (y = mx + b). Rewrite the following equation in standard form: ax + by = c.

The values of the slope and y-intercept provide details on the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the slope of the line in our equation, y = 6x + 2, is 6.

The slope is m and the y-intercept is b in the equation y=mx+b in slope-intercept form. Some equations can also be rewritten so that they resemble slope-intercept form. For instance, y=x can be written as y=1x+0, resulting in a slope and y-intercept of 1 and 0, respectively.

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Part A: The amount of ice cream increases as the temperature increases. Part B: the slope is 2 and the y-intercept will be 5.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

Part A: The relationship between the temperature of the city and the number of ice cream cones sold.

From the graph, the dots on the graph increase in the up-right direction.

Thus, The amount of ice cream increases as the temperature increases.

Part B: The line of best fit

First, if we draw a line through the points

we select any 2 points on the line:

( p,q) and (x,y) as (15, 35) and (0, 5).

The slope (m) is:

\(m = \dfrac{y-q}{x-p}\)

\(m = \dfrac{5 - 35}{0-15}\\\\m = 2\)

So, the line of best fit is:

y = mx + c

y = 2(x - 0) + 5

y = 2x + 5

The y-intercept will be when x = 0

y = 2x + 5

y = 0 + 5

y = 5

Thus, the slope is 2 and the y-intercept will be 5.

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Since no equations were provided, the solution of the equation will depend on the values of p.

The solution of an equation is the value that makes that equation true.

Given the equation q = 60 - 4p

The solution of the equation will depend on the value of p

For example; if p = 1

q = 60 - 4(1)

q = 56

Therefore, the solution of the equation will depend on the values of p.

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In statistics, p hat is used as an estimator of the population proportion (p) of a categorical variable. It is the sample proportion of the variable, which is calculated as the number of occurrences of a particular category in the sample divided by the total sample size.

The reason why p hat is used is that it provides an estimate of the unknown population proportion based on a representative sample. By using p hat, we can draw inferences about the population proportion with a certain level of confidence. This is important in hypothesis testing and confidence interval estimation, where we want to make statements about the population based on the information gathered from a sample.

Using p hat as an estimator of p is also beneficial because it has desirable statistical properties, such as being an unbiased estimator, having a sampling distribution that approaches normality, and having a known standard error.

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Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

Answer:

Step-by-step explanation:

urmom

Answer:

1st graph:

Slope-intercept is y = -7/2x + 3

Point Slope is y + 4 = -7/2(x - 2)

Standard is 7x + 2y = 6

2nd graph:

Slope-intercept is y = 1/2x - 4

Point Slope is y + 2 = 1/2(x - 4)

Standard is x - 2y = 8

3rd graph:

Slope-intercept is y = 3x - 3

Point Slope is y - 3 = 3(x - 2)

Standard is 3x - y = 3

4th graph:

Slope-intercept is y = -2/7x - 4

Point Slope is y + 2 = -2/7(x + 7)

Standard is 2x + 7y = - 28

Step-by-step explanation:

Point Slope formula⤵⤵⤵:

\(y - y _{1} = m(x - x _{1})\)

Slope-intercept formula⤵⤵⤵:

\(y = mx + b\)

Standard formula⤵⤵⤵:

\(Ax + By = C\)

Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)

The given series is Σ(-1)^n (7n – 5)/(8n + 5) for n = 1 to infinity.
To apply the Alternating Series Test, we need to check if the series satisfies the following two conditions:
1) The terms of the series alternate in sign.
2) The absolute value of the terms decreases as n increases.

1) The given series alternates in sign because of the (-1)^n factor.
2) To check if the absolute value of the terms decreases as n increases, we can find the ratio of consecutive terms:

b_n = (7n – 5)/(8n + 5)
b_n+1 = (7(n+1) – 5)/(8(n+1) + 5)

So, b_n+1/b_n = [(7n+12)/(8n+13)] * [(8n+5)/(7n-5)]
= (56n^2 + 43n + 60)/(56n^2 - 41n - 65)

We can observe that the numerator is always greater than the denominator for n >= 1. Therefore, b_n+1/b_n < 1 for all n >= 1, which means that the absolute value of the terms decreases as n increases.

Since the series satisfies both conditions of the Alternating Series Test, we can conclude that the series converges.

To evaluate lim bn as n approaches infinity, we can use the fact that bn is a rational function of n. By dividing both numerator and denominator by n, we can write:

b_n = (7 - 5/n)/(8 + 5/n)

As n approaches infinity, both the numerator and denominator approach constants (7 and 8, respectively). Therefore, lim bn = 7/8.

So, the series Σ(-1)^n (7n – 5)/(8n + 5) converges to a limit of 7/8.

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The cost is $7 per ticket.Because it is fact that 28 divide by 4.Then we get $7.

The division is one of the major operations we use in our daily life. It is the process of splitting a large group into equal smaller groups. For example, divide 25 by 5. Division fact for this example will be, 25 ÷ 5 = 5.

The three main parts of division are dividend, quotient and divisor. In addition to this when the divisor is not a factor of the dividend then we get a non-zero remainder which is the fourth part of the division.Division is sharing of  the amount equally.

Now we get

total amount =$28

member     =4

cost of per ticket =$28/4

cost of a ticket =$7

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Answer:

como explica  ebn yte ay uod y

Step-by-step explanation:

Pretty sure this is the answer:

C. slope intercept form

Answer:

a

Step-by-step explanation: