A pre-image has coordinates N(3, -2), A(5, 0) and P(2, 4). The image has coordinates N’ (2, 0), A'(4, 2) and P'(1, 6). Write a transformation rule to describe the path the pre-image made to arrive at the image.

Answers

Answer 1

Answer:

f(x + 1) + 2

Step-by-step explanation:

All the points are translated 1 unit to the left and 2 units up.
To write a translation along the x-axis, movement to the right would be written as f(x - a), where a is the amount translated, and movement to the left would be written as f(x + a). In this case, we would need to write the translation as f(x + 1), since it is moving 1 unit to the left.
As for translations along the y-axis, movement upward would be written as f(x) + a, and movement downward would be written as f(x) - a. Thus, the transformation rule to describe the path the pre-image made to arrive at the image would be f(x + 1) + 2.

P.S. I'm a bit rusty with this stuff, so I apologize in advance if I messed something up.


Related Questions

a cylinder has a radius of 3 cm and a height of 8 cm. what is the longest segment, in centimeters, that would fit inside the cylinder?

Answers

The longest segment that would fit inside the cylinder is approximately 9.06 centimeters.

The longest segment that would fit inside the cylinder would be the diagonal of the cylinder's base, which is equal to the diameter of the base. The diameter of the base is equal to twice the radius, so it is 6 cm. Using the Pythagorean theorem, we can find the length of the diagonal:

[tex]diagonal^2 = radius^2 + height^2 \\diagonal^2 = 3^2 + 8^2 \\diagonal^2 = 9 + 64 \\diagonal^2 = 73 \\diagonal = sqrt(73)[/tex]


Therefore, the longest segment that would fit inside the cylinder is approximately 8.54 cm (rounded to the nearest hundredth).
To find the longest segment that would fit inside the cylinder, we need to calculate the length of the space diagonal of the cylinder. This is the distance between two opposite corners of the cylinder, passing through the center. We can use the Pythagorean theorem in 3D for this calculation.

The terms we'll use are:
- Radius (r): 3 cm
- Height (h): 8 cm

To find the space diagonal (d), we can use the following formula:

[tex]d = \sqrt{r^2 + r^2 + h^2}[/tex]
Plug in the values:

[tex]d = \sqrt{((3 cm)^2 + (3 cm)^2 + (8 cm)^2)} d = \sqrt{(9 cm^2 + 9 cm^2 + 64 cm^2)} d = \sqrt{(82 cm^2)}[/tex]
d ≈ 9.06 cm

Learn more about cylinder here:

https://brainly.com/question/23991640

#SPJ11

The longest segment that can fit inside the cylinder is. [tex]$\sqrt{73}$ cm[/tex].

The longest segment that can fit inside a cylinder is a diagonal that connects two opposite vertices of the cylinder.

The length of this diagonal by using the Pythagorean theorem.

Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.

It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation:[1]

[tex]{\displaystyle a^{2}+b^{2}=c^{2}.}[/tex]

The theorem is named for the Greek philosopher Pythagoras, born around 570 BC.

The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem.

The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.

Consider a right triangle with legs equal to the radius.

[tex]$r$[/tex] and the height [tex]$h$[/tex] of the cylinder, and with the diagonal as the hypotenuse.

Then, by the Pythagorean theorem, the length of the diagonal is:

[tex]$\sqrt{r^2 + h^2} = \sqrt{3^2 + 8^2} = \sqrt{73}$[/tex]

For similar questions on cylinder

https://brainly.com/question/23935577

#SPJ11

a password consists of four alphanumeric characters (case insensitive). a valid password must contain at least one digit and at least one letter. how many different passwords are there

Answers

There are 1,280,240 different passwords that meet the criteria of containing at least one letter and at least one digit, and consisting of four alphanumeric characters (case insensitive).

How to calculate the total number of different passwords?

To calculate the total number of different passwords, we can break the problem down into several steps:

Step 1: Calculate the number of possible characters for each position in the password. Since the password consists of four alphanumeric characters, there are 26 letters (A-Z) and 10 digits (0-9) for each position.

Therefore, there are 36 possible characters for each position.

Step 2: Calculate the total number of possible passwords without any restrictions.

Since there are 36 possible characters for each position and the password has four positions, the total number of possible passwords without any restrictions is:

36 x 36 x 36 x 36 = 1,679,616

Step 3: Calculate the number of passwords that do not contain at least one digit or at least one letter.

To do this, we can calculate the number of passwords that do not contain any digits and subtract it from the total number of possible passwords, and then do the same for passwords that do not contain any letters.

The number of passwords that do not contain any digits is:

26 x 26 x 26 x 26 = 456,976

The number of passwords that do not contain any letters is:

10 x 10 x 10 x 10 = 10,000

However, we have to be careful not to double-count the passwords that do not contain both letters and digits.

The number of passwords that do not contain both letters and digits is:

26 x 26 x 10 x 10 = 67,600

So the total number of passwords that do not contain at least one digit or at least one letter is:

456,976 + 10,000 - 67,600 = 399,376

Step 4: Subtract the number of invalid passwords from the total number of possible passwords:

1,679,616 - 399,376 = 1,280,240

Therefore, there are 1,280,240 different passwords that meet the criteria of containing at least one letter and at least one digit, and consisting of four alphanumeric characters (case insensitive).

Learn more about calculate the total number of different passwords

brainly.com/question/17303313

#SPJ11

I NEED HELP ON THIS ASAP!

Answers

The exponential function that models the situation in this problem is defined as follows:

y = 3(4)^x.

How to define an exponential function?

The standard definition of an exponential function is given as follows:

y = ab^x.

In which:

a is the initial value.b is the rate of change.

Three friends start the project, hence the initial value represented by the parameter a is given as follows:

a = 3.

Each day, the number of people in the project is multiplied by four, hence the parameter b is given as follows:

b = 4.

Hence the function is:

y = 3(4)^x.

More can be learned about exponential functions at https://brainly.com/question/2456547

#SPJ1

Rewrite the expression with rational exponents.

Answers

[tex]7^{(1/3)}[/tex] is the equivalent expression to ∛7 with rational exponents.

What are rational exponents?

Rational exponents are exponents that are expressed as fractions. Specifically, a rational exponent of the form m/n is equivalent to taking the nth root of a number and then raising it to the power of m.

When we talk about rational exponents, we are referring to exponents that are written as fractions. Specifically, a rational exponent of the form m/n is equivalent to taking the nth root of a number and then raising it to the power of m.

So, in the case of ∛7, we can rewrite the cube root symbol (∛) as a rational exponent with a denominator of 3. That is, ∛7 can be expressed as [tex]7^{(1/3)}[/tex] , where the 1/3 exponent means "take the cube root of 7".

Therefore, [tex]7^{(1/3)}[/tex] is the equivalent expression to ∛7 with rational exponents.

To learn more about rationlal exponents from the given link:

https://brainly.com/question/3009444

#SPJ1

Maxine graphs the function m(x) which has a vertex of (-3,4) and passes through the point (-1,-8). Ricardo graphs p(x) = (x+3)² +4
Maxine thinks that both functions have the same axis of symmetry equation. Do you agree or disagree?

Answers

Both functions have the same axis of symmetry equation, which is x = -3.

Given that, Maxine graphs a function m(x) which has a vertex of (-3,4) and passes through the point (-1,-8).

Ricardo graphs p(x) = (x+3)² + 4

We need to check if both the function axis of symmetry equation.

So,

Both functions have a vertex of (-3,4), which means that the axis of symmetry must be a vertical line passing through x = -3.

Axis of symmetry = The axis of symmetry is an imaginary straight line that divides the shape into two identical parts or that makes the shape symmetrical.

For the function p(x) = (x+3)² +4, the axis of symmetry is indeed x = -3.

For the function m(x), since it has a vertex of (-3,4), the equation of the axis of symmetry is x = -3.

To know more about function,

brainly.com/question/28193995

#SPJ1

In art class students are mixing black and white paint to make gray paint. Hassan mixes 2 cups of black paint and 3 cups of white paint. Aaliyah mixes 4 cups of black paint and 5 cups of white paint. Use Hassan and Aaliyah’s proportions of black paint to determine whose gray paint will be darker.

Hassan black paint proportion (out of total) as fraction =

Aaliyah black paint proportion (out of total) as fraction =

Hassan’s gray paint will be darker.
Aaliyah’s gray paint will be darker.
The two gray paints will be equally dark.

attempt 1 out of 2
Miracle Jackson
Which is more? (Fraction Comparison)
Apr 11, 8:08:47 AM
Watch help video
In art class students are mixing black and white paint to make gray paint. Hassan mixes 2 cups of black paint and 3 cups of white paint. Aaliyah mixes 4 cups of black paint and 5 cups of white paint. Use Hassan and Aaliyah’s proportions of black paint to determine whose gray paint will be darker.

$x$$y$$($$)$
$=$$\surd$$a^{2}$$a^{b}$

$7$$8$$9$$\div$
$4$

Answers

The correct answer is: Aaliyah’s gray paint will be darker.

What is proportion?

In mathematics, a proportion is an equation that states that two ratios are equal. A ratio is a comparison of two numbers or quantities that are usually written in the form of a fraction. For example, the ratio of apples to oranges in a basket could be written as 3/5, meaning that there are three apples for every five oranges.

Hassan mixed 2 cups of black paint and 3 cups of white paint, so the total amount of paint he mixed is 2 + 3 = 5 cups. The proportion of black paint in his mixture is 2/5.

Aaliyah mixed 4 cups of black paint and 5 cups of white paint, so the total amount of paint she mixed is 4 + 5 = 9 cups. The proportion of black paint in her mixture is 4/9.

Comparing the two proportions, we see that Aaliyah's proportion of black paint is greater than Hassan's proportion of black paint, so Aaliyah's gray paint will be darker.

Therefore, the correct answer is: Aaliyah’s gray paint will be darker.

To learn more about proportion visit the link:

https://brainly.com/question/1496357

#SPJ1

PLEASE HELP ME ITS DUE TODAY :(
I will give brainliest if you help me answer this!!!

Answers

Answer: it would be (b) because the number 64 7th graders hights are less than

65 inches tall

Step-by-step explanation:

Hoped this helped have a good day pl z mark me as brainliest :)

Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in Example 4.

Answers

The expression in terms of the first power of sine is 1 + 3[tex]sin^{4}[/tex]x - 3[tex]sin^{2}[/tex]x - [tex]sin^{6}[/tex]x. The solution has been obtained by using the trigonometric identities.

What are trigonometric identities?

All possible values of the variables in the equation must satisfy the equality condition known as a trigonometric identity. A triangle's side length and angle can be used to express a variety of unusual trigonometric identities.

We are given expression as [tex]cos^{6}[/tex] (x).

This can be written as a cosine function as  [tex](cos^{2} x)^{3}[/tex].

We know that [tex]sin^{2}[/tex]x + [tex]cos^{2}[/tex]x = 1.

So, we get

⇒ (1 - [tex]sin^{2}[/tex]x[tex])^{3}[/tex]

⇒ 1 + 3[tex]sin^{4}[/tex]x - 3[tex]sin^{2}[/tex]x - [tex]sin^{6}[/tex]x

Hence, the required expression has been obtained.

Learn more about trigonometric identities from the given link

https://brainly.com/question/3785172

#SPJ1

9. Patricia has 5 cups of rice cereal. She
uses 3 cups of rice cereal to make
granola bars, then borrows 0.5 cup of
rice cereal from her friend. Her recipe
for cereal clusters calls for 3 cups of
rice cereal. Does Patricia have enough?
How much will she have left over, or
how much more will she need?
A Yes, she has 1/2cup left.
B No, she needs 1/2cup more.
C Yes, she 1/4 has cup left.
D No, she needs 1/4cup more.

Answers

Therefore, the correct answer is (B) No, she needs 1/2 cup more.

To determine if Patricia has enough rice cereal for her recipe, we need to calculate the total amount of rice cereal she has after all her actions and compare it to the 3 cups required for the cereal clusters.

Initially, Patricia had 5 cups of rice cereal. She used 3 cups to make granola bars, leaving her with 2 cups. She then borrowed 0.5 cup from her friend, which brings her total to 2.5 cups.

Finally, she needs 3 cups of rice cereal for the cereal clusters recipe. Since she only has 2.5 cups, she does not have enough rice cereal and needs to get more. Therefore, the correct answer is B) No, she needs 1/2 cup more.

She then borrows 0.5 cup, so she now has 2 + 0.5 = 2.5 cups.

needs 3 - 2.5 = 0.5 cups more.

To know more about amount visit:

https://brainly.com/question/22661325

#SPJ1

If the area is halfway between two entries, use the z-score halfway between the corresponding z-score s. If convenient, use technology to find the z-score. 37. 0. 4364. 38. 0. 1 39. 993. 40. P2. 41. P67. 42. P46. The z-score that has 20. 9% of the distribution’s area to its right

Answers

The z- score that has 20.9 of the distribution's area to its right is roughly 0.84.

To find the z- score that has 20.9 of the distribution's area to its right, we can use a standard normal distribution table or a calculator with a normal distribution function.

Using a standard normal distribution table, we can look for the area to the left of the z- score with an area of 1-0.209 = 0.791. The closest value we can find in the table is 0.7901, which corresponds to a z- score of 0.84.

Alternatively, we can use a calculator with a normal distribution function.However, 0, 1) = 0, If we use the formula" normalcdf(z. 209" to find the z- score, we get z = 0.84.

therefore, the z- score that has 20.9 of the distribution's area to its right is roughly 0.84.

Learn more about the z- score;

https://brainly.com/question/25638875

#SPJ4

c. what is the probability that the duration of a rainfall event at this location is between 2 and 3 hours? d. what is the probability that a rainfall duration exceeds the mean value by more than 2 standard deviations?

Answers

The probability that a rainfall event exceeds the mean by more than 2 standard deviations is approximately 0.0498.

a. The exponential distribution with a mean of 2.725 hours can be expressed as λ = 1/2.725. Using this parameter, we can calculate the probabilities as follows:

P(X ≥ 2) = [tex]e^{(-λ2) }= e^{(-1/2.7252)[/tex] ≈ 0.4800

P(X ≤ 3) = 1 - [tex]e^{(-λ3)} = 1 - e^{(-1/2.7253)[/tex] ≈ 0.6674

P(2 ≤ X ≤ 3) = [tex]e^{(-λ2)} - e^{(-λ3)} = e^{(-1/2.7252)} - e^{(-1/2.7253)}[/tex] ≈ 0.1474

b. The standard deviation of an exponential distribution is equal to the mean, so 2 standard deviations above the mean would be 2*2.725 = 5.45 hours. The probability that a rainfall event exceeds this duration can be calculated as follows:

P(X > 5.45) =[tex]e^{(-λ5.45)} = e^{(-1/2.7255.45)}[/tex] ≈ 0.0498

Therefore, the probability that a rainfall event exceeds the mean by more than 2 standard deviations is approximately 0.0498.

Learn more about probability

https://brainly.com/question/24756209

#SPJ4

Complete Question:

Suppose that rainfall duration follows an exponential distribution with mean value 2.725 hours.

a. What is the probability that the duration of a particular rainfall event is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (.4800, .6674, .1474)

b. What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations? (.0498)

1/2 x^4=8
Solve the equation ​

Answers

Answer:

x=2

Step-by-step explanation:

x^4=16

x=[tex]\sqrt[4]{16}[/tex]

x=[tex]2[/tex]

The answers are in the picture. I need help ASAP!

Answers

The perimeter and the area of the regular polygon are 20 inches and 27.53 square inches.

How to calculate the area and the perimeter of a regular polygon

The figure representing a regular polygon with five sides of same length, whose perimeter and area is well described by following formulas:

Perimeter

p = n · l

Area

A = (n · l · a) / 2

Where:

A - Area of the polygon, in square inches. n - Number of sides.l - Side length, in inches. a - Apothema, in inches. p - Perimeter, in inches.

Where the apothema is:

a = 0.5 · l / tan (180° / n)

If we know that l = 4 in and n = 5, then the perimeter and the area of the polygon are:

Perimeter

p = 5 · (4 in)

p = 20 in

Area

a = 0.5 · (4 in) / tan (180° / 5)

a = 0.5 · (4 in) / tan 36°

a = 2.753 in

A = [5 · (4 in) · (2.753 in)] / 2

A = 27.53 in²

To learn more on area of regular polygons: https://brainly.com/question/12291395

#SPJ1

how do i solve this trigonometry question?

Answers

Answer:

2.07 cm

Step-by-step explanation:

Hypotenuse = 2 cm

Adjacent side = a

Formula

cos θ = Hypotenuse/Adjacent side

cos 15 = 2/a

Note

The value of cos 15 is approximately 0.965.

0.965 = 2/a

a = 2/0.965

a = 2.07 cm ( approximately )

An industrial/organizational psychologist has been consulting with a company that runs weekend job-seeking workshops for the unemployed. She collected data on several issues related to these workshops and, after conducting statistical tests, obtained statistically significant findings. She needs to find a way to evaluate effect size so that she can make recommendations to the company. One of the psychologist's findings is that 18 months after the workshop, a sample of 81 job seekers who received training on using the Internet to find job listings worked more than 30 hours per week an average of 8. 7 months in the last year, with a standard deviation of 4. 1. The typical job seeker works 7. 4 months. The psychologist finds that the estimated Cohen's d is _____, the t statistic is 2. 83, and r^2 is ______. Using Cohen's d and Cohen's guidelines for interpreting the effect size with the estimated Cohen's d, there is a ______ treatment effect. Using r^2 and the extension of Cohen's guidelines for interpreting the effect size using r^2, there is a ______ treatment effect. Another one of the psychologist's findings is that a sample of 81 job seekers who received training on interview skills scored an average of 8. 1 as measured on a 9-point job search motivation scale, with a standard deviation of. 8. The typical job seeker scores 7. 4 points. She finds that the estimated Cohen's d is _____, the t statistic is 7. 78, and r^2 is _____ Using Cohen's d and Cohen's guidelines for interpreting the effect size with the estimated Cohen's d, there is a treatment effect. Using r^2 and the extension of Cohen's guidelines for interpreting the effect size with r^2, there is a ___ treatment effect

Answers

The psychologist finds that the estimated Cohen's d is  0.32, the t statistic is 2. 83, and r² is 0.073.  Using r² and the extension of Cohen's guidelines for interpreting the effect size using r², there is a small treatment effect.   job seeker finds that the estimated Cohen's d is 0.88, the t statistic is 7. 78, and r² is 0.479.Using r² and the extension of Cohen's guidelines for interpreting the effect size with r², there is a large treatment effect

To calculate the estimated Cohen's d, we use the formula

d = (M - M0) / SD

where M is the mean of the treatment group (job seekers who received training on using the Internet to find job listings), M0 is the mean of the control group (typical job seeker), and SD is the pooled standard deviation of the two groups. Using the given values, we have

M = 8.7 months

M0 = 7.4 months

SD = 4.1 months

So, d = (8.7 - 7.4) / 4.1 = 0.32

Using Cohen's guidelines for interpreting effect size with Cohen's d, a value of 0.2 is considered a small effect, 0.5 a medium effect, and 0.8 a large effect. Therefore, with an estimated Cohen's d of 0.32, there is a small treatment effect.

To calculate r², we use the formula

r² = t² / (t² + df)

where t is the t statistic, df is the degrees of freedom (n-2 for a two-group design), and n is the sample size. Using the given values for the Internet training group, we have

t = 2.83

n = 81

df = 79

So, r² = 2.83² / (2.83² + 79) = 0.073

Using the extension of Cohen's guidelines for interpreting effect size with r², a value of 0.01 is considered a small effect, 0.09 a medium effect, and 0.25 a large effect. Therefore, with an r² of 0.073, there is a small treatment effect.

For the job seekers who received training on interview skills, we can calculate Cohen's d and r² in a similar way

d = (M - M0) / SD = (8.1 - 7.4) / 0.8 = 0.88

t = 7.78

n = 81

df = 79

r² = 7.78² / (7.78² + 79) = 0.479

Using Cohen's guidelines for interpreting effect size with Cohen's d, a value of 0.2 is considered a small effect, 0.5 a medium effect, and 0.8 a large effect. Therefore, with an estimated Cohen's d of 0.88, there is a large treatment effect.

Using the extension of Cohen's guidelines for interpreting effect size with r², a value of 0.01 is considered a small effect, 0.09 a medium effect, and 0.25 a large effect. Therefore, with an  r² of 0.479, there is a medium to large treatment effect.

To know more about estimated Cohen's d:

https://brainly.com/question/31427772

#SPJ4

Answer:.317

.091

Small to med

Med

.875

.431

Large

Large

Step-by-step explanation:

!!PLEASE HELPPPP MEEE!!

Answers

Answer:

Step-by-step explanation:

5989.87

The diameter of a semicircle is 4 feet. What is the semicircle's perimeter?

Answers

Perimeter is circumference 2pie r so semicircular is pie *r radius is half the diameter so 2 feet so perimeter is 2pie feet

All help is appreciated thank you.

Answers

Using the fact that the triangles are similar we can see that the value of x is  36

How to find the value of x?

We can see that the triangles are similar due to the same interior angles, then ther is a scale factor k between them.

So we can write:

20*k = 48

k = 48/20 = 2.4

Then:

x = 15*2.4

x = 36

That is the value of x.

Learn more about similar triangles at:

https://brainly.com/question/14285697

#SPJ1

A bag of poker chips contains 4 purple, 6 red, 3 pink, and 2 black chips. What is the probability of pulling from the bag A black chip?

Answers

The answer of the given question based on the probability is ,  the probability of pulling a black chip from the bag is 2/15 or approximately 0.133 or 13.3%.

What is Probability?

Probability is  measure of  likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event. For example, the probability of flipping a coin and getting heads is 0.5, or 50%, assuming a fair coin. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes

The total number of poker chips in the bag is:

total = 4 + 6 + 3 + 2 = 15

The probability of pulling a black chip from the bag is the number of black chips divided by the total number of chips:

P(black) = number of black chips / total number of chips

P(black) = 2 / 15

Therefore, the probability of pulling a black chip from the bag is 2/15 or approximately 0.133 or 13.3%.

To know more about Possible outcome visit:

https://brainly.com/question/28259612

#SPJ1

help me please please ​

Answers

Answers below

x^4 * x^3 = x^12
Rule: multiply exponents you multiply coefficients but add the exponents.
*They multiplied the exponents
✅ = x^7

4w^5 * 5w^7 = 9w^12
Rule: multiply exponents you multiply coefficients but add the exponents,
*they added the coefficients
✅ = 20w^12

( g^2)^5
Rule: exponent of exponent you multiply the exponents,
*they added the exponents
✅ g^10

(2m^3)^4 = 2m^12
Rule: exponent of exponent with coefficient, distribute the outside exponent to the terms inside the parentheses, simplify the terms and combine them. * they only multiplied the exponents and neglected the coefficient term.
2^4 and (m^3)^4
16 and m^12
combine both terms
✅ 16m^12

y^-2 * y*5 = y^3
✅ this one is correct, add the exponents
-2 + 5 = 3 exponent, so y^3

2k^0 = 1
Rule; exponent of 0 zero makes the term value 1, * they made the whole term 1 and neglected the coefficient
✅ (2)(1) = 2

f^6 + f^1 = f^7
Rule: you cannot add unlike terms. It’s like adding apples and oranges. You cannot add f^6 and f^1, they are not the same. *they multiplied instead of added
So your answer is
✅ f^6 + f^1

your school wants to maximize their profit, P, from the sales of tickets, T, to the homecoming football game. They determine the function, P(t)=60t^2+420t-440 models the profit they can earn in hundreds of dollars in terms of price per ticket, in dollars.

Answers

The maximum profit occurs at the endpoint t = 100, where the profit is $5551.20.

Maximum profit calculation

To maximize the profit function P(t) = 60t^2 + 420t - 440, we need to find the value of t that will give us the maximum profit.

One way to do this is to use calculus. We can take the derivative of P(t) with respect to t and set it equal to zero to find the critical points:

P'(t) = 120t + 420

Set P'(t) = 0 and solve for t:

120t + 420 = 0

t = -3.5

This gives us one critical point at t = -3.5. However, this value of t doesn't make sense in the context of the problem - we can't sell tickets at a negative price!

So we need to check the endpoints of the domain of the function, which is given by the constraint that t is greater than or equal to zero (we can't charge a negative price for tickets either).

When t = 0, P(0) = -440.

When t is very large, say t = 100, P(100) = 600000 - 44000 - 440 = 555120.

Therefore, the maximum profit occurs at the endpoint t = 100, where the profit is $5551.20.

More on maximum functions can be found here: https://brainly.com/question/13581879

#SPJ1

write it as a fraction

Answers

Answer:

[tex] \frac{11}{13} \times \frac{1}{4} \times \frac{1}{3} = \frac{11}{156} [/tex]

So the volume of this rectangular prism is 11/156 of a cubic foot.

To celebrate the first day of school, Grace brought in a tray of caramel brownies and walnut brownies. She brought 80 brownies in all. 56 of the brownies were caramel. What percentage of the brownies were caramel?

Answers

Answer: 70% of the brownies are caramel.

Step-by-step explanation: First take 56/80 because 56 of the brownies were caramel out of the 80. Which divided that give you 0.7. Multiply then by 100 which will give you 70. So the answer is there are 70% caramel brownies.

A single marble tile measures 25 cm by 20 cm. How many tiles will be required to cover a floor with dimensions 2 meters by 3 meters?
A. 320 tiles
B. 240 tiles
C. 180 tiles
D. 120 tiles

(Please do step by step and the answer)

Answers

The number of tiles that will be required to cover a floor with dimensions 2 meters by 3 meters is given as follows:

D. 120 tiles.

How to obtain the area of a rectangle?

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width

The area of the floor is given as follows:

2 x 3 = 6 m².

The area in m² of each tile is given as follows:

0.25 x 0.2 = 0.05.

Hence the number of tiles that will be required to cover the floor is given as follows:

6/0.05 = 120 tiles.

More can be learned about the area of a rectangle at https://brainly.com/question/25292087

#SPJ1

If it is 15°c outside ang the temperature will drop by 16° in the next 8 hours,What is the temperature after 8 hours

Answers

Answer:

-17°C

Step-by-step explanation:

Correct me if I'm wrong hope it's help ◉‿◉

PLEASE HELP!!!
The picture explains the problem

Answers

The inequality represented by the given number line is: -60 ≥ m.

Explain about the inequality on number line:

We can see the values that an inequality represents by placing it on a number line.

On a number line, inequalities are represented by drawing a straight line and designating the end points as an open or closed circle.

An empty circle indicates that the value is not included.A closed circle indicates that the value is included.

On a number line, inequality is represented as follows:

Choose the value or values that must be displayed on the number line.Determine if an > or < open circle or a ≥ or ≤closed circle is required; the situation either requires an open circle or a closed circle.Draw a straight line either to the number's left or right side or in between the circles to indicate the solution set.

For the given number line,

-6 is shown with the closed circle, with lines extending towards +∞

Thus, the inequality represented by the given number line is: -60 ≥ m.

Know more about the inequality

https://brainly.com/question/30853768

#SPJ1

the graph of polygon fghi is shown. graph the image of fghi after a refelction across the line y=-1. include the line of reflection. then write the coordinates of the image

Answers

The coordinates of the reflected polygon F'G'H'I' are as follows:

F'(-2, -1), G'(5, -4), H'(8, -5), and I'(6, -2).

What is the reflection?

In mathematics, reflection is defined as the mirror image of a figure crossing a line (drawn or imagined), known as the line of reflection.

The vertices of the polygon FGHI are as follows:

F(2, -1)

G(5, 2)

H(8, 3)

I(6, 0)

To reflect the polygon FGHI across the line y = -1, we need to flip the points over the line.

Now we can reflect each of the points of the polygon across the line y = -1 to get the image:

F(2, -1) stays in the same place because it lies on the line of reflection.

G(5, 2) is reflected to G'(5, -4) by flipping it vertically across the line y = -1.

H(8, 3) is reflected to H'(8, -5), and

I(6, 0) is reflected to I'(6, -2).

Hence, The coordinates of the reflected polygon F'G'H'I' are as:

F'(-2, -1), G'(5, -4), H'(8, -5), and I'(6, -2).

To learn more about the reflection visit:

brainly.com/question/2375657

#SPJ1

Complete question:

The complete question is attached in the image.

PLEASE HELP ME I BEEGGGG

Answers

Answer:miami is 43431.16 rounded to 43431 because you can't have .16 of a person.

washington dc is 4249.22 which is round to 4249 because you can't have .22 of a person.

and new york city is 27348.99 which is rounded to 27349 because you can't have .99 of a person.

Step-by-step explanation:

im smart and im really good at math

IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST***
Find the area of the shaded sector. Round to the nearest tenth.
167°
17. 8 yd
Area = [ ? ]yd? Enter​

Answers

The area of the shaded sector is approximately 463.8 square yards.

To find the area of the shaded sector, we need to use the formula for the area of a sector, which is given by

Area of sector = (central angle / 360°) x πr²

where r is the radius of the sector, and the central angle is the angle between the two radii that form the sector.

In this case, we are given that the central angle of the shaded sector is 167°, and the radius is 17.8 yards. So, we can substitute these values into the formula as follows

Area of sector = (167° / 360°) x π(17.8)²

Simplifying this expression, we get:

Area of sector = 0.464 x 998.92

Multiplying these two numbers, we get

Area of sector = 463.8 square yards

Learn more about area here

brainly.com/question/7512468

#SPJ4

The given question is incomplete, the complete question is:

Find the area of the shaded sector. Round to the nearest tenth.

what is the expected ratio of two heads : heads/tails : tails/heads : two tails when two coins are repeatedly flipped? (this question is asking about probability, which is a prediction, rather than your actual observed results.)

Answers

When two coins are repeatedly flipped, the probability of getting two heads is 1/4, the probability of getting a head and a tail is 1/2, and the probability of getting two tails is also 1/4.

Therefore, the expected ratio of two heads : heads/tails : tails/heads : two tails is 1:2:2:1, respectively. This means that out of every six flips, we would expect to see one outcome of two heads, two outcomes of heads/tails and tails/heads each, and one outcome of two tails.

However, it is important to note that this is only a prediction and the actual results may differ due to chance.

Learn more about probability:

https://brainly.com/question/24756209

#SPJ11

Other Questions
The length of a side of an equilateral triangle is 14 centimeters.What is the length of the altitude of the triangle? 2 7cm 3 7 cm 7 2 cm 7 3 cm The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 84 square inches. Solve for the dimensions (length and width) of the poster. a student dissolves of resveratrol in of a solvent with a density of . the student notices that the volume of the solvent does not change when the resveratrol dissolves in it.calculate the molarity and molality of the student's solution. round both of your answers to significant digits.molaritymolality karl-anthony is trying to plate gold onto his silver ring. he constructs an electrolytic cell using his ring as one of the electrodes. he runs this cell for 94.7 minutes at 220.8 ma. how many moles of electrons were transferred in this process? a physical inventory taken on december 31, 2020, resulted in an ending inventory of $1,050,000. jep's markup on cost has remained constant at 32% in recent years. jep suspects that an unusual amount of inventory may have been damaged and disposed of without appropriate tracking. at december 31, 2020, what is the estimated cost of missing inventory? product mix breadth. corporate stakeholder relations. profitability. brand liability. perceived brand personality. discuss the powers used by the Texas Governor during the COVID-19 pandemic. Were the Governor's powers too extensive or not extensive enough? who was the first to ever creat a fire arm In a _____, all network devices are connected to a common backbone that serves as a shared communications medium. a. star network b. bus network c. ring network knowing this was a legal win for southern slave onwer how do you think this decision still could have contributed to the civil war ? what is the purpose of kelley's rhetorical one a group of related organelles in plant cells that are involved in the storage of starches, fats, proteins, and pigments. is called? Watters Umbrella Corp. issued 15-year bonds 2 years ago at a coupon rate of 8 percent. The bonds make semiannual payments. If these bonds currently sell for 115 percent of par value, what is the YTM? evolutionary changes that create new species, impacting the diversity of organisms over long periods of time through the evolution and extinction of many species, best describes which process? Your stock has a = 2.77, the expected return on the stockmarket is 16.67%, and the yield on T-bills is 6%. What is theexpected return on your stock? I need some help bro please help! and explain and show work of how you got the answer. I will mark you brainliest. I need help with this problem it's is 8x+5+3x+8=90 A classmate of yours stated that a solid line is not a good representation of an arithmetic sequences. What logical assumption is your classmate using?The classmate is not correct. A line is a good representation of an arithmetic sequence.A line is a series of dots that represent each value of the sequence.A line has the same slope as the common difference in the sequence.An arithmetic sequence is a set of discrete values, whereas a line is a continuous set of values. you are a project manager of a technical team. which approach would you take to help the team members balance their perfectionism and creativity so they are within scope?