If the rectangle has an area of 24 square centimeters, what is the perimeter of the rectangle? one of the sides are 3cm
please help

To find the box to the top left, we can multiple the sides like rectangles. To find the top left box, we can multiply -1 and 0.5y to get -0.5y.

To find the box on the bottom right, we can multiply the sides like rectangles again. To find the bottom right box, we can multiply 24x and 3 to get 72x.

The volume of the solid generated when region R is revolved about the x-axis is 4.442882938158366.

The shell method is a method for finding the volume of a solid of revolution by taking thin slices of the solid and calculating the volume of each slice. In this case, the slices are horizontal, and the thickness of each slice is dx.

The radius of the base of each slice is equal to the distance from the curve y = x²/2 to the x-axis. This radius is given by y = x²/2.

The height of each slice is equal to the thickness of the slice, which is dx.

The volume of each slice is then given by:

2π * (y) * dx = 2π * (x²/2) * dx

The volume of the solid is then the sum of the volumes of all the slices, which is given by:

∫_0^1 2π * (x²/2) * dx = 4.442882938158366

Therefore, the volume of the solid is 4.442882938158366.

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Answer:

This is a personal opinion question

Step-by-step explanation:

I think your teacher asked you this on how you are feeling with proportions. There is no right or wrong answer its just how comfortable you are with it. Hope this helps :)

Answer:

y=3x-25

Step-by-step explanation:

Hope it helps you! ........

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

my guess is 1?

Step-by-step explanation:

I just guess

Answer:

x = -8

Step-by-step explanation:

I will show each step algebraically. If you need further explanation, feel free to ask questions :)

\(\frac{x}{2} +7=3\\\)                     Rewrite

\(\frac{x}{2} =-4\)                        Subtract 7

\(x =-8\)                        Multiply by reciprocal (2/1)

I hope this helps!

Answer:

X = -8

Step-by-step explanation:

So we will start with subtracting 7 from 3, which is -4.

So now you have x/2 = -4

Now we have to find what divided by 2 equals -4 so, we do 2 x -4, which is -8.

This is how we get our answer, x = -8

Answer:

I think the answer is 45 but that may be wrong

Answer:

2500

Step-by-step explanation:

5^2(3+2+5)^2

5^2(10)^2

25(100)

=2500

The answer is ( 2x-1) (3X+2)

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.

STEP 1-: Combine like terms

6z²-3Z-2+4Z

6Z²+1Z-2

STEP 2-: Multiply by 1

6Z²+1Z-2

6Z²+Z-2

STEP 3-: Use the sum-product pattern

6Z²-3Z-2+4Z

6Z²+4Z-3Z-2

STEP4-: Common factor from the two pairs

6Z²+4Z-3Z-2

2Z(3Z+20) -1 (3Z+2)

STEP 5-:Rewrite in factored form

2Z(3Z+20) -1 (3Z+2)

(2Z-1) (3Z+2)

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Answer:

After 4 coin flips, Johnny should expect to see 3 heads and 1 tails

Step-by-step explanation:

If the coin is 3 times more likely to land on heads than tails, then that means the probability ratio of the coin landing heads to tails is 3 to 1, or 3:1. This means that if a coin is flipped for times, it is statistically probable for the coin to land on heads 3 times, and tails just 1 time. This can be scaled too. If a coin is flipped 8 times, it is probable that the coin will land on heads 6 times, and tails 2 times.

904.32 inches²

Explanation:

diameter = 12 inches

diameter = 2(radius)

radius = diameter/2 = 12/2

radius = 6 inches

height = 8 inches

let π = 3.14

The formula for volume of a cylinder:

To the nearest hundredth, volume of cylinder is 904.32 inches²

Answer: The moon

Step-by-step explanation:

The cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ The volume of the cone (V )= 1/3πhr²

The number of faces of a regular cone is one, which we may partition vertically into two halves.

This means one base face and lateral face

Now, the number of faces in one half equals the number of faces in the original form.

This meets the conditions outlined in the question.

So, the cone is a solid form.

Thus, the cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

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A sample is a subset of the population. When conducting a survey, it is often impractical to gather data from every member of a population, and therefore, a sample is used. The goal of a sample is to gather data that is representative of the population. In the case of the instructional designer, they would need to identify the population of learners they are interested in (e.g. learners enrolled in their course) and take a sample of those learners to estimate the proportion who use Firefox as their primary browser.

There are various sampling procedures that can be used, but the most common is simple random sampling. In simple random sampling, each member of the population has an equal chance of being selected for the sample. The instructional designer could use a random number generator or a table of random numbers to select their sample of learners. Once they have their sample, they can count the number of learners who use Firefox as their primary browser and use this proportion to estimate the proportion in the population.

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The charge enclosed by the cylinder is simply equal to the total charge Q on the surface of the cylinder.

If the charge is only on one surface of the cylinder, then we can assume that the charge is uniformly distributed on that surface. Let's denote the surface charge density by σ.

The charge enclosed by the cylinder is given by qenc = σA, where A is the cross-sectional area of the cylinder.

We are not given the surface charge density σ, but we can relate it to the total charge Q on the surface of the cylinder as follows:

Q = σA

We can solve for σ to get:

σ = Q/A

Substituting this expression for σ into our equation for qenc, we get:

qenc = σA = (Q/A)A = Q

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Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3)    ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

\(P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)\)

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  \(\frac{3}{15}\) (or  \(\frac{1}{5}\), simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  \(\frac{1}{5}\) = \(\frac{x}{20}\)

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer: Sure, I can help you with that! Here's a step-by-step guide on how to calculate the binomial coefficient C(n, k) using the formula:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

Step 1: Input the values of n and k.

Let's say you want to calculate C(5, 2), which is the binomial coefficient of choosing 2 items from a set of 5 items. In this case, n = 5 and k = 2.

Step 2: Calculate k! and (n - k)!

In our example, k = 2, so k! = 2! = 2 * 1 = 2, and (n - k) = (5 - 2) = 3, so (n - k)! = 3! = 3 * 2 * 1 = 6.

Step 3: Calculate n!

n! = 5 * 4 * 3 * 2 * 1 = 120

Step 4: Calculate C(n, k)

C(n, k) = n! / (k! * (n - k)!) = 120 / (2 * 6) = 120 / 12 = 10

Therefore, C(5, 2) = 10, which means there are 10 ways to choose 2 items from a set of 5 items.

Step-by-step explanation:

(-2, -9) is the vertex of the given quadratic function

Given the quadratic equation below:

F(x) = x^2+4x-5

The quadratic equation in vertex form is expressed as:

f(x) = a(x - h)² + k

f(x) = x² + 4x - 5

f(x) = x² + 4x + 2² - 2² - 5

f(x) =  x² + 4x + 4 - 4 - 5

f(x) = (x + 2)² - 9

Hence the vertex of the function from the resulting function is (-2, -9)

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Answer:

8,000

I hope this helps!

Answer:

8000

Step-by-step explanation:

Answer:

Step-by-step explanation:

an equation can be made given by the detials of the problem

f(n)=5(0.5)^(x/140)

where x is the amount of days

plug in 420 for x to get

0.625

Answer:

Question 1:

Rectangular prism requires \( 10.185\: in^2\) more material to make than the cylinder.

Question 4:

The cylindrical container holds \(\bold{60.16\: in^3}\) more than the rectangular prism.

Step-by-step explanation:

Question 1:

Question 4:

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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Answer:

x = 2

Step-by-step explanation:

Since, points D, E and F are collinear.

Therefore,

DF = DE + EF

28 = 3x + 8 + 4x + 6

28 = 7x + 14

28- 14 = 7x

14 = 7x

\( \frac{14}{7} = x \\ 2 = x \\ \huge \red { \boxed{x = 2}}\)

Answer:

Step-by-step explanation:

(2 , 4)  ;      ( -1 , -1)    

\(Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

Answer:

decision-making

Step-by-step explanation:

Answer:

-1 /2

Step-by-step explanation:

Answer:

-15°

Step-by-step explanation:

We know that at 7 pm it started at -6°, and that every 2 hours until 2 am, it dropped by 2 degrees.

From that we can form this expression:

-6-2x, with x being the number of hours it dropped.

From 7 pm to 2 am is 7 hours, therefore -6-2(7) = -20°

From 2 am until 7 am, it began raising 1 degree per hour.

We can write that as:

-20 + x, with x being the number of hours it went up.

From 2 am to 7 am is 5 hours:

-20 + 5 = -15°

Therefore, the temperature at 7 am is -15°.