The table shows the amount of each ingredient in 52 ounces of punch. If you have 130 ounces of punch, how much lime juice does the punch contain?

Answer:

28800 square feet

Step-by-step explanation:

We solve this using the Heron's formula

Area of a Triangle = √s(s - a)(s - b)(s - c)

s = a + b + c/2

s = 100 + 580 + 600/2 = 640

Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)

= √640 × (540) ×( 60) × (40)

= √(829440000)

= 28800 square feet

Therefore, the approximate the area of the land is 28800 square feet.

\(\huge\boxed{\bold{Hello~there!}}\)

We are given the slope and the y-intercept of the line.

We can use the Slope-Intercept formula:

\(\huge\boxed{\boxed{y=mx+b}}\)

Where m is the slope, and b is the y-intercept.

Since we are given the slope and the y-intercept, we can use the formula to determine the equation of the line.

All we have to do is plug in -3 instead of m, and 5 instead of b:

y=-3x+5

\(\huge\boxed{\mathbb{ANSWER:{\boxed{\tt{y=-3x+5}}}}}\)

\(\boxed{\bigstar}\) I really hope that my answer is helpful!

\(\bold{Have~an~awesome~day!}\)

\(\rm{FabulousKingdom:-)\)

Answer:

Option 4

Step-by-step explanation:

2x² + 32 = 0

2x² = -32

x² = -16

sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)

Answer:

  f(f(n)) = -n^4 -8n^2 -20

Step-by-step explanation:

As with any function evaluation, you substitute the argument for the variable and simplify.

  \(f(f(n))=f(-n^2-4)=-(-n^2-4)^2-4\\\\=-(n^4+8n^2+16)-4\\\\\boxed{f(f(n))=-n^4-8n^2-20}\)

\(\\ \rm\hookrightarrow f(f(n))\)

\(\\ \rm\hookrightarrow f(-n^2-4)\)

\(\\ \rm\hookrightarrow -(-n^2-4)^2-4\)

\(\\ \rm\hookrightarrow -(n^4+8n^2+16)-4\)

\(\\ \rm\hookrightarrow -n^4-8n^2-16-4\)

\(\\ \rm\hookrightarrow -n^4-8n^2-20\)

Ethical issue: Randomized controlled trial in Minneapolis Experiment; Sherman proposed phased implementation. Selection bias may have affected results; alternative methods could have mitigated bias.

1. The ethical issue that presented itself in the Minneapolis Experiment was the use of a randomized controlled trial (RCT) to test the effectiveness of police interventions, specifically focusing on hotspots policing. Critics argued that it was unethical to randomly assign certain areas to receive less police presence or intervention, potentially exposing those areas to higher crime rates and putting residents at risk.

Sherman argued that the ethical concern could be addressed by using a phased implementation of the intervention. This means that instead of randomly assigning areas to different treatments, the intervention could be gradually implemented over time, allowing for a more controlled and ethical approach. He argued that the phased implementation would minimize the potential harm to the control areas and ensure that the overall impact of the intervention is accurately measured.

Whether or not one agrees with Sherman's argument depends on individual perspectives and ethical considerations. While phased implementation may address some ethical concerns, it still raises questions about the potential unequal distribution of resources and the impact on vulnerable communities. It is crucial to carefully consider the potential risks and benefits of any experimental design involving human subjects and ensure that ethical guidelines are followed.

2. Selection bias could have influenced the results of the experiment if there were systematic differences between the areas assigned to different treatments. For example, if the areas with higher crime rates were intentionally or unintentionally assigned to the treatment group, it could lead to biased results, as the differences observed may be due to the initial characteristics of the areas rather than the intervention itself.

To mitigate selection bias, random assignment is often used in experiments to ensure that the treatment and control groups are comparable in terms of their characteristics and potential confounding factors. However, in the case of the Minneapolis Experiment, random assignment may not have been feasible or ethically justifiable.

Alternative methods, such as matched-pair design or propensity score matching, could have been considered to minimize selection bias. These methods aim to create comparable groups by matching areas based on relevant characteristics before assigning treatments. However, implementing these methods may have their own limitations and practical challenges, especially in the context of policing interventions.

Ultimately, the influence of selection bias and the possibility of avoiding it depend on the specific circumstances, available resources, and ethical considerations surrounding the experiment. It is important to acknowledge and address potential biases when interpreting the results of any study or experiment.

To know more about the randomized controlled trial refer here :

https://brainly.com/question/14209363#

#SPJ11

The box dimensions with the least surface area are length and width x = 8 feet, and height h = 4 feet.

To find the dimensions of the box with a square base and no top that has a volume of 256 cubic feet and the least (minimum) surface area, we can follow these steps:
Define the variables
Let x be the length and width of the square base, and let h be the height of the box.
Write the volume equation
The volume of the box is given by the product of its length, width, and height: V = x * x * h = x^2 * h.
Since the volume is 256 cubic feet, we have x^2 * h = 256.
Write the surface area equation
The surface area of the box (without the top) is given by the sum of the areas of its sides: S = x^2 + 4 * x * h.
Solve for h from the volume equation
From the volume equation x^2 * h = 256, we can solve for h in terms of x: h = 256 / x^2.
Substitute h into the surface area equation
Substitute the expression for h into the surface area equation: S = x^2 + 4 * x * (256 / x^2).
Simplify the surface area equation
Simplify the surface area equation by canceling out terms: S = x^2 + 1024 / x.
Minimize the surface area
To minimize the surface area, take the derivative of S with respect to x and set it equal to zero:
dS/dx = 2 * x - 1024 / x^2 = 0.
Solve for x
To solve for x, multiply both sides by x^2 and rearrange the equation:
2 * x^3 = 1024.
Now, divide by 2 and take the cube root to find x:
x = (512)^(1/3) = 8 feet.
Find h
Using the value of x, find the height h:
h = 256 / x^2 = 256 / 64 = 4 feet.

for more questions on dimensions

https://brainly.com/question/19819849

#SPJ11

Answer:

the answer is c

Step-by-step explanation:

To find the total cost of purchasing the video game at the local Big Box store with a \(10\) % discount and  \(6.5\) % sales tax, we can use the following formula:

Total cost = (Sale amount—Discount) x (1 + Tax rate)

Plugging in the values we have:

Total cost \(= (49.95–4.995) \times 1.065\)

Total cost  \(= 44.955 \times 1.065\)

Total cost \(= 47.83\)

Therefore, the total cost of purchasing the video game at the local Big Box store would be $ \(47.83\).

At the online store, the game costs $  \(44.95\) plus a shipping charge of $ \(4.00\) , which comes to a total of $ \(48.95.\)

So, purchasing the game at the online store would be slightly cheaper.

To calculate the total cost and interest earned for each principal amount and time period, we can use the following formula:

Total cost = Principal + Interest earned

Interest earned = Principal x Annual rate x Time period (in years)

Plugging in the values we have:

For the first row:

Interest earned \(= 2400 \times 0.049 \times0.5\)

Interest earned = $58.80

Total cost \(= 2400 + 58.80\)

Total cost = $ \(2,458.80\)

For the second row:

Interest earned \(= 9460.12 \times 0.022 \times 2\)

Interest earned = $ \(415.24\)

Total cost  \(= 9460.12 + 415.24\)

Total cost = $ \(9,875.36\)

For the third row:

Interest earned = \(3923.87 \times 0.02 \times5\)

Interest earned = $ \(392.39\)

Total cost  \(= 3923.87 + 392.39\)

Total cost = $ \(4,316.26\)

Let's assume Jorge's commission for the month was C. We can set up the following equation:

\(C = 0.09 \times 89400\)

We know that Harris sold the same amount, but made $447 more in commission. So we can set up another equation:

\(C + 447 = \times89400\)

Where x is the commission rate for Harris.

We can substitute the value of C from the first equation into the second equation:

\(0.09 \times 89400 + 447 = \times 89400\)

Simplifying:

\(8046 + 447 = 89400x\)

\(8493 = 89400x\)

\(x = 0.095\) or  \(9.5\) %

Therefore, Harris' commission rate is \(9.5%\)%  .

Learn more about cost here:

https://brainly.com/question/28446697

#SPJ1

the volume of the solid obtained by rotating the rectangle with width a and height x about the x-axis is (2π/3) a^3

Assuming you meant "a rectangle with width x", we can find the volume of the solid obtained by rotating this rectangle about the x-axis using the method of cylindrical shells.

Consider a thin vertical strip of width dx at a distance x from the y-axis. The length of this strip is the height of the rectangle, which is x. When this strip is rotated about the x-axis, it sweeps out a cylindrical shell of radius x and thickness dx. The volume of this cylindrical shell is given by 2πx(x dx) = 2πx^2 dx.

To find the total volume of the solid, we integrate the volume of each cylindrical shell from x = 0 to x = a, where a is the width of the rectangle. Therefore, the volume of the solid is given by:

V = ∫ 2πx^2 dx (from x = 0 to x = a)

V = [2π/3 x^3] (from x = 0 to x = a)

V = (2π/3) a^3

To learn  more about volume visit:

brainly.com/question/28058531

#SPJ11

Answer:

espero y te sirva hay esta todo lo que necesitas

Answer:

Step-by-step explanation:

a)

b)

Step-by-step explanation:

please mark me as brainlest

Answer:

0

Step-by-step explanation:

g(4)=3(4-2)+1

=3(2)+1

=6+1

=7

hog(4)= –2(7)+14

=–14+14

=0

Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

False. The bandwagon fallacy is when someone believes that an argument is valid because most people believe it to be true.

The idea is that since everyone believes it, then it must be true. It is also called an argument from popularity, argumentum ad populum, appeal to the masses, appeal to belief, and consensus fallacy.The fallacy occurs when one claims that an idea is true or false because many other people believe it to be so.

The fallacy works because humans are social animals and they tend to believe things that others believe. Therefore, when people see that many others believe in an idea, they are more likely to accept it as true without giving much thought to whether it is actually true or not. The bandwagon fallacy is a logical error because the truth of an idea does not depend on how many people believe it.

To know more about most visit:

https://brainly.com/question/438014

#SPJ11

Base of the Prism = 5 cm

Height of the Prism = 4 cm

Length of the Prism = 6 cm

The volume of a triangular prism = 1/2 x base x height x length

⇒ Volume = 1/2 x 5 x 4 x 6

⇒ Volume = 60 cm^3

To learn more about Triangular Prism, refer to:

https://brainly.com/question/23178481

#SPJ13

10 choose 3 with replacement gives you a mere 220 combinations. A “combination” lock uses permutations, so there would be 1000 possibilities.

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

Mathematically, a combination is a selection of things without regard for order.

The formula for “combination with replacement” is:

   \(C^{R} (n,r)=\frac{(n+r-1)!}{r! (n-r)!}\)

10 choose 3 with replacement gives you a mere 220 combinations.

The toss of three identical 10-sided dice would have 220 possible outcomes.

Hence, A “combination” lock uses permutations, so there would be 1000 possibilities.

To know more about Combination visit,

https://brainly.com/question/11732255

#SPJ4

The two values or x of roots of the polynomial are

\(x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}\)

This is further explained below.

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Generally, the equation for polynomial the is mathematically given as

x^2 - 11x + 13

Therefore

We know that,

\(x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}\)

Here,

a=1

b=-11

c=13

Putting the values,

\(x=\frac{-(-11) \pm \sqrt{(-11)^2-4 \times 1 \times 13}}{2 \times 1} \\\)

\(&=\frac{11 \pm \sqrt{121-52}}{2} \\\\&=\frac{11 \pm \sqrt{69}}{2} \\\)

Therefore

\(x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}\)

Read more about polynomials

https://brainly.com/question/11536910?referrer=searchResults

#SPJ1

The number 5 can be either a geometric sequence or a arthimetic sequence

A geometric sequence is a series in which each term is found by multiplying the preceding term by the same value. Its general term is. aₙ= a₁rⁿ⁻¹.

The r represents the common ratio, and a is the initial term. r is found by taking any term in the sequence and dividing it by its preceding term.

The example of a geometric sequence with 5 as initial term is

5, 10, 20, 40.....

In an arithmetic sequence, the difference between consecutive terms is always the same.

aₙ = a + (n - 1)d

The example of a arithmetric sequence with 5 as initial term is

5, 7, 9, 11 .....

Therefore, The number 5 can be either a geometric sequence or a arthimetic sequence.

To learn more about series refer here

https://brainly.com/question/24643676

#SPJ4

The situation that probably does not have a lurking variable operating in some way is, option D: Neighborhoods with more station wagons tend to have more playgrounds. So, the correct option is, option D.

This is because it is unlikely that there is a hidden variable that is causing both the presence of station wagons and the presence of playgrounds. It is possible that neighborhoods with more families and children tend to have both more station wagons and more playgrounds, but this is not a hidden variable as it is already known and understood.

In contrast, the other options all involve relationships between variables that could be explained by a hidden variable.

For example, in option A, it is possible that the lurking variable is the weather, which affects both the sales of cold medication and the sales of ice cream.

Similarly, in option E, the lurking variable could be the overall economic health of the town, which affects both the number of teachers and the sales of floor wax and cat litter.

Know more about lurking variable here:

https://brainly.com/question/13285819

#SPJ11

Answer:

C.10

Step-by-step explanation:

x=10

You can enter it into the calculator to check it.

Hope this helped! ;)

Answer: 13

Step-by-step explanation:

Answer:

A =78.5

Step-by-step explanation:

We need the radius to find the area of a circle

r = d/2 = 10/2 =5

The area of a circle is given by

A = pi r^2

A = 3.14 (5)^2

A =3.14 (25)

A =78.5

(a) Option A, if its value is a large positive number, statistic A x2 provides strong evidence for the alternative hypothesis.

(b) Option B, the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals.

(c) Option B, the variables considered in the chi-square test for the evaluation of contingency table B are categorical variables.

(a) If the x2 statistic is a large positive number, it provides strong evidence for the alternative hypothesis. The x2 statistic is used in hypothesis testing to determine if there is a significant difference between observed and expected frequencies. Large positive values ​​indicate that the observed frequency is significantly different from the expected frequency, supporting the alternative hypothesis.

(b) The hypotheses tested in the chi-square test for the contingency table are the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals. personal goals. This test determines whether there is a significant relationship between two categorical variables.

(c) The variables considered in the chi-square test used to evaluate the contingency table are categorical variables. These variables cannot be assumed to be mean or normally distributed. The chi-square test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

Complete Question:

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.

Learn more about Variables:

https://brainly.com/question/2403687

#SPJ4

Out of the given options, the set of variables that is most likely to have a cause-and-effect relationship is A. The age of a teacher and the income of the teacher. A cause-and-effect relationship implies that one variable is the cause of changes in the other variable.

In this case, it is possible to argue that the age of a teacher can cause changes in their income. For example, as teachers gain more experience and seniority, they may be eligible for higher salaries. Additionally, teachers who have been in the profession for longer may have more qualifications or skills that make them more desirable to schools and therefore more likely to earn higher incomes. On the other hand, the other options do not necessarily have a clear cause- and- effect relationship. For example, while a person's weight may influence their height to some extent, it is not a direct cause-and-effect relationship. Similarly, while the make of a car may influence its mileage, it is not a direct cause-and-effect relationship. In conclusion, while it is important to consider all variables when analyzing data, it is essential to identify which variables have a direct cause-and-effect relationship. In this case, the set of variables with a cause-and-effect relationship is A. The age of a teacher and the income of the teacher. Based on the given options, the set of two variables most likely to have a cause-and-effect relationship is C. The weight of a box and the postage rate we have to pay to ship the box to California.This relationship is likely cause-and-effect because shipping companies typically charge postage rates based on the weight of the package being sent. As the weight of a box increases, the cost to ship it usually increases as well, demonstrating a direct cause-and-effect relationship between these two variables

Learn more about height here: https://brainly.com/question/10726356

#SPJ11

Answer:

Supplementary and Linear Pair

Step-by-step explanation:

The angles 1 and 2 form 180 degrees. That is the definition of a Supplementary Angle and Linear Pair.

The  values of x is (4,-8) he two vectors will be orthogonal.

Let u=(x+4) i-4 j

x=x i+8 j

Now, U and v are orthogonal.

A number of vectors that are mutually perpendicular to each other, meaning they form an angle of 90° with a magnitude of one unit with each other, are called orthogonal unit vectors.

Therefore, u.v=0

⇒\(((x+4) i-4 j) \cdot(x i+8 j)=0 \\\)

⇒\(x(x+4)-32=0 \\\)

⇒\(x^2+4 x-32=0 \\\)

⇒\(x^2+8 x-4 x-32=0 \\\)

⇒\(x(x+8)-4(x+8)=0 \\\)

⇒x=4, x=-8

Therefore, the value of x=4 and x=-8 the two vectors will be orthogonal.

For more such questions on dot product of orthogonal vectors

https://brainly.com/question/29129901

#SPJ4

The question is an illustration of remainder theorem

The remainder of \(\mathbf{P(x) = x^3 - 5x^2 + 2x - 10}\) divided by \(\mathbf{x - 5}\) is 0

The polynomial is given as:

\(\mathbf{P(x) = x^3 - 5x^2 + 2x - 10}\)

The divisor is given as:

\(\mathbf{x - 5}\)

First, we set the divisor to 0

\(\mathbf{x - 5 = 0}\)

Solve for x

\(\mathbf{x = 5}\)

Substitute 5 for x in the polynomial

\(\mathbf{P(x) = x^3 - 5x^2 + 2x - 10}\)

\(\mathbf{P(5) = 5^3 - 5 \times 5^2 + 2 \times 5 - 10}\)

\(\mathbf{P(5) = 125 - 125 + 10 - 10}\)

\(\mathbf{P(5) = 0}\)

The above equation means that:

The remainder of \(\mathbf{P(x) = x^3 - 5x^2 + 2x - 10}\) divided by \(\mathbf{x - 5}\) is 0

Read more about remainder theorem at:

https://brainly.com/question/4782198

Answer:

1. x= 5, x=1

2. x= -4, x=2

3. x= -6, x=7

4. x= -7, x=5

5. x= -9, x=0

Step-by-step explanation:

You do the X factoring-

1.

A   B   C

x²+6x+5

(A)(C) and B

(1)(5)=5      6

Then figure out what two numbers multiply to get 5

but also add to 6. In this case, it would be 5 and 1

5x1= 5 and 5+1= 6

so it is:

x= 5, x= 1

Hope this helps!