Eli cut out a 12-inch square. Then he cut off 2-inch squares from each corner of his large square. Which expression can be used to find the remaining area of the larger square?

Answer:

oo answer A

Step-by-step explanation:

Oo answer A

Sna amaktukong po

The recursion that models the dynamics of drug concentration is: ct+1 = (1 - k) * ct + a.

This equation describes how the drug concentration in the bloodstream changes over time. At each time step, the concentration of the drug in the bloodstream is updated by adding the concentration of the drug that is administered (a) and subtracting the fraction of the drug that is metabolized (k * ct). This updated concentration is then used as the starting concentration for the next time step.

The value of k is typically a constant that is specific to the drug being administered and the metabolic rate of the patient. The value of a can vary depending on the dosage and frequency of drug administration. The recursion can be used to model the concentration of the drug over time, which is important for determining the effectiveness and potential side effects of the drug.

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Answer:

4

Step-by-step explanation:

25% is the same as 1/4.

1 is 1/4 of what number?

Answer: 4

You can also answer it with an equation.

Let x = the number you are looking for.

1 is 25% of x can be written as the following equation.

25% of x = 1

0.25x = 1

Multiply both sides by 4.

x = 4

Answer: 4

To find the consumer surplus at the equilibrium point (1600, 80), we need to integrate the demand function from 0 to 1600 and subtract it from the equilibrium price of $80.

Consumer surplus = ∫[0,1600] D(x) dx - (equilibrium price)

First, let's find the demand function:

D(x) = 3200/√x

Now, we can integrate the demand function from 0 to 1600:

∫[0,1600] D(x) dx = ∫[0,1600] 3200/√x dx = 2(3200)√x ∣∣∣0 to 1600

= 2(3200)√1600 - 2(3200)√0

= 2(3200)(40) - 0

= 256000

So, the consumer surplus at the equilibrium point is:

Consumer surplus = 256000 - 80 = $255920

Therefore, the consumer surplus at the equilibrium point is $255920.

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The means for groups A, B, and C are 4, 6, and 8, respectively. The omega-squared is 0.25.

The Omega-squared calculation is used to determine how much variance is explained by a specific component or therapy. It is represented as 2 and ranges from 0 to 1, with higher values indicating a greater relationship between the independent and dependent variables.

Omega-squared is calculated as follows:

                        ω2=SSBetween / SSTotalSSWithin

                             = SSTotal - SS Between

where SSTotal is the entire variance's sum of squares. Between and Within are the sums of the squares within and between the groups, respectively.

The following formula can be used to find the sum of squares between the groups:

                       SSTotal = SSBetween + SSWithinSSTotal

                                     = (nA + nB + nC - 1) × (σA² + σB² +σC²)SSBetween

                                     = SSTotal - SS Within SS Between

                                     = (3 - 1) × (42 + 62 + 82) - 120SSBetween

                                     = 80 Next,

  You can compute the total variance as follows:

                     SSTotal = SSWithin + SSBetweenSSTotal

                                   = 120 + 80SSTotal

                                    = 200

      Omega-squared can now be calculated as follows:

                    ω2 = SSBetween / SSTotalω2

                          = 80/200ω2

                          =0.4

      Omega-squared therefore has a value of 0.25.

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Answer:

$440.10

Step-by-step explanation:

We know

Peter bought a snowboard for $326.

Marcy bought a snowboard for 135% of this price.

How much did Marcy pay?

135% = 1.35

We Take

326 x 1.35 = $440.10

So, Marcy pay $440.10

Option D is correct, a dilation by a scale factor of 2, centered at the origin, followed by the translation (x, y) --> (x + 5, y)

Dilate triangle ABC by a scale factor of 2, centered at the origin.

This will stretch the triangle by a factor of 2 in both the x and y directions.

Perform a translation of the dilated triangle by 5 units to the right (in the positive x-direction) and leave the y-coordinate unchanged.

This sequence of transformations will match the corresponding vertices of triangle ABC to triangle DEF, resulting in the desired transformation.

Hence, a dilation by a scale factor of 2, centered at the origin, followed by the translation (x, y) --> (x + 5, y)

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Answer:

800

Step-by-step explanation:

The true population proportion p of customers who prefer the fast food restaurant, based on Marco's poll survey, can be estimated using a 95% confidence interval.

Out of the 600 randomly selected customers, 320 indicated their preference for the restaurant. By applying the formula for a proportion, we find that the sample proportion is 0.5333. With a sample size of 600 and a 95% confidence level corresponding to a z-score of approximately 1.96, we can calculate the confidence interval for p. The true population proportion p of customers who prefer the fast food restaurant, based on Marco's poll survey, can be estimated using a 95% confidence interval. The sample proportion is 0.5333, with 320 out of 600 customers indicating their preference. Using the formula for a proportion and a 95% confidence level, we find that the confidence interval for p is approximately 0.4934 to 0.5732. The true population proportion p of customers who prefer the fast food restaurant, based on Marco's poll survey, falls within the 95% confidence interval of approximately 0.4934 to 0.5732. The sample proportion is 0.5333, obtained from 320 out of 600 customers indicating their preference. This confidence interval provides an estimate of the likely range in which the true population proportion lies, with a 95% level of confidence.

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Answer:

y=1.25x+3

Step-by-step explanation:

Answer:

8 and -1.4

Step-by-step explanation:

2(4x)=8x

-.7x2=1.4

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

Answer:

5 weeks

Step-by-step explanation:

She would need to work at least 8 weeks because the bicycle is $80 and she has $35.

Answer:

5 weeks

Step-by-step explanation:

i took 80 - 35 to get 45 (money she still needs)

then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)

and if you get 10 dollars per week and its asking how many weeks

you have to up the 4 by one because it has a .5

so it would be 5 weeks

Vertical Axis: The vertical extent ranges from the maximum to the minimum points of the two periods. In the case of f(x) = sin(x), the range would be -1 to 1.

To show two periods of the function, an appropriate viewing rectangle would be the one that ranges from one point of one period to the corresponding point of the second period, and the vertical extent ranges from the maximum to the minimum points of the two periods.

For example, we want to graph the function f(x) = sin(x) over the interval [0, 6π].

To show two periods of the function in this interval, we must first determine the period of the function.

In this case, the period of the sine function is 2π.

Therefore, we can graph two periods of the function by using a viewing rectangle that ranges from 0 to 4π on the horizontal axis (one point of the first period to the corresponding point of the second period) and ranges from -1 to 1 on the vertical axis (the minimum and maximum points of the two periods).

So, an appropriate viewing rectangle to show two periods of the function would be:

Horizontal Axis: Range from one point of one period to the corresponding point of the second period. In the case of f(x) = sin(x), the range would be 0 to 4π.

Vertical Axis: The vertical extent ranges from the maximum to the minimum points of the two periods. In the case of f(x) = sin(x), the range would be -1 to 1.

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It is proved that Cos A = (3+5cosB)/(5+3cosB).

Here it is provided that

tan A/2 = 1/2tan B/2

As we know, trigonometric ratios can be converted into one another,

One such standard conversion is

tanA = √(1-cosA)/√(1+cosA)

Using the above conversion we can write,

\(\sqrt{\frac{1 - cos A}{1 + cos A} } = \frac{1}{2} \sqrt{\frac{1 - cos B}{1 + cos B} }\\\\ (\frac{1 - cos A}{1 + cos A}) = \frac{1}{4} (\frac{1 - cos B}{1 + cos B})\)

4(1-cosA)(1+cosB) = (1-cosB)(1+cosA)

4(1+cosB-cosA-cosAcosB) = (1+cosA -cosB-cosAcosB)

4 + 4cosB - 4cosA - 4cosAcosB = 1 + cosA - cosB - cosAcosB

3 + 5cosB = 3cosAcosB + 5cosA

3 + 5cosB = cosA(3cosB - 5)

cos A = (3+5cosB)/(5+3cosB)

Hence, it is proved that

\(cosA = \frac{3+5cosB}{5+3cosB}\)

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The depth of the well is approximately 402.5 feet.

To calculate the depth of the well, we can use the equation of motion for free-falling objects. The equation is given by:

d = (1/2) * g * t^2

where:
d is the depth of the well
g is the acceleration due to gravity (approximately 32.2 ft/s^2)
t is the time taken for the penny to fall (5 seconds)

Plugging in the values into the equation, we have:

d = (1/2) * 32.2 * (5^2)

Simplifying the equation, we get:

d = 0.5 * 32.2 * 25
d = 16.1 * 25
d = 402.5 feet

Therefore, the depth of the well is approximately 402.5 feet.

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the HCF of x, 2y, 3y, 4z, x², 3z, and 5, where x, y, z are

distinct prime numbers is 1.

To find the highest common factor (HCF) of the given numbers, we need to find the common factors of each pair of numbers and then find the highest common factor of all the resulting common factors.

First, let's find the prime factors of the given numbers:

x = a prime number (distinct from y and z)

2y = 2 × y

3y = 3 × y

4z = 2² × z

3z = 3 × z

x² = a prime number squared (distinct from y and z)

5 = a prime number

Next, we can pair up the numbers and find their common factors:

Common factors of x and 2y: 1, 2, y

Common factors of 3y and 4z: 1, 2, 3, y, z, 6

Common factors of x² and 3z: 1, 3, x, z, xz

Common factors of 5 and 2: 1

Finally, we find the highest common factor of all the resulting common factors:

The highest common factor of x, 2y, 3y, 4z, x², 3z, and 5 is 1, since it is the only factor that is common to all the pairs.

Therefore, the HCF of x, 2y, 3y, 4z, x², 3z, and 5 is 1.

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Answer:

6hr 48mins

Step-by-step explanation:

10:35 + 1hr = 11:35

11:35 + 1hr = 12:35

12:35 + 1hr = 1:35

1:35 + 1hr =2:35

2:35 + 1hr = 3:35

3:35 + 1hr = 4:35

4:35 + 1hr = 5:35

5:35 - 12min = 5:23

1 + 1 + 1 + 1 + 1 + 1 + = 7hrs - 12 = 6hr 48mins

Answer:

6 hours and 48 minutes

Step-by-step explanation:

10:35 to 4:35 is 6 hours. For 4:35 to 5:23, you can do 5:23 in minutes (323) and 4:35 in minutes (275) and then do 323-275, which is 48 minutes. So Gregory slept for 6 hours and 48 minutes.

Answer: A) 2.95 units

Step-by-step explanation:

The diameter of a circle is twice the radius.  Thus, simply do 5.9/2 to get that the radius is 2.95 units long.

Hope it helps <3

Answer:

your answer would be A-2.95

5.9/2=2.95

Step-by-step explanation:

Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

There are 832 different three-course meals that can be ordered at the I Love Food restaurant.

Since there are 13 appetizers to choose from, 16 entrees, and 4 desserts, the number of possible three-course meals is:

13 x 16 x 4 = 832

A food restaurant is a business establishment that specializes in preparing and serving food to customers. These restaurants may offer a variety of cuisines, from traditional and regional dishes to fusion and international flavors. They are typically divided into different categories based on their menus and service styles, such as fast food, casual dining, fine dining, or ethnic restaurants.

Food restaurants are designed to provide a comfortable and enjoyable dining experience for customers, often with attractive decor, seating arrangements, and music. They employ chefs, cooks, servers, and other staff who work together to prepare and serve high-quality food and drinks. Many food restaurants offer takeout or delivery services, allowing customers to enjoy their meals at home or on the go. Some restaurants also provide catering services for events, parties, and other special occasions.

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In mathematics, a number is considered to be "even" if it is divisible by 2, and "odd" if it is not divisible by 2. The numbers from 1 to 100 can be divided into two groups: even numbers and odd numbers.

Even numbers are numbers that are divisible by 2, such as 2, 4, 6, 8, and so on. When you divide an even number by 2, the remainder will always be 0. Some examples of even numbers between 1 and 100 include: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, and 100.

Odd numbers are numbers that are not divisible by 2, such as 1, 3, 5, 7, and so on. When you divide an odd number by 2, the remainder will always be 1. Some examples of odd numbers between 1 and 100 include: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, and 99.

It is important to note that 0 is not a positive or negative number and it is not considered as odd or even.

Knowing the difference between even and odd numbers is an important concept in math, especially when working with patterns, sequences, and operations. Understanding even and odd numbers can help you better understand the properties of numbers and how they can be used in different contexts.

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Answer:

Just do 700*32 and put the decimal after two places from right side

700*32=22400

decimal two side right is

224.00

700*.32=224

alternatively .32 is 1/.32=3.125 so you can do

700/3.125=224

well, when doing decimals, we can think of them without the decimal point and then we'll be adding it later.

so in this case, let's just multiply 700 times 032, which is just the same as 700 * 32, which is the same as 7 * 32 and then we add the zeros.

So 7 * 32 = 224, now let's add the zeros from the 700, and that's 22400, now let's add the decimals hmmm well, 0.32 had two decimals so it needs two, so 224.00, wait a second! that's just 224.

Answer:

34° is the closest to the record high in degree Fahrenheit ⇒ C

Step-by-step explanation:

∵ The formula F = \(\frac{9}{5}\) C + 32 is used to convert the temperature from

    degrees Celsius (C) to degree Fahrenheit (F)

∵ The high temperature in Chicago is 1° Celsius

→ Substitute C in the formula above by 1

∴ F = \(\frac{9}{5}\) (1) + 32

∴ F =  \(\frac{9}{5}\)  + 32

∴ F = 33.8°

→ Round it to the nearest degree Fahrenheit

∴ F ≅ 34°

∴ 34° is the closest to the record high in degree Fahrenheit

Answer:

3/4= 0.75

9/10= 0.9

8/25= 0.32

5/8= 0.625

Step-by-step explanation:

Answer:

3/4 = 0.75, 9/10 = 0.90, 8/25 = 0.32, 5/8 = 0.625

Step-by-step explanation:

hope this helps!

Answer:

B

Step-by-step explanation:

Reflection over x axis

This is a reflection over the x-axis (B)

The current is constant over time as long as the magnetic field strength and other parameters remain constant.

The current through a solenoid can be calculated using the formula:

I = (B * A * N) / R

where I is the current, B is the magnetic field, A is the cross-sectional area of the solenoid, N is the number of turns, and R is the resistance of the solenoid.

Assuming that the solenoid is made of a material with negligible resistance, the resistance can be ignored and the formula reduces to:

I = (B * A * N) / R

The magnetic field inside the solenoid can be calculated using the formula:

B = (μ * N * I) / L

where μ is the permeability of free space, N is the number of turns, I is the current, and L is the length of the solenoid.

Assuming that the magnetic field is uniform across the cross-sectional area of the solenoid, the formula for current can be further simplified to:

I = (μ * A * N^2 * V) / (L * R)

where V is the volume of the solenoid.

Plugging in the given values for the solenoid (A = πr^2, r = 2.0 cm, N = 400, L = 20 cm) and assuming a magnetic field strength of 1 tesla, the current through the solenoid can be calculated to be approximately 0.63 A. The current is constant over time as long as the magnetic field strength and other parameters remain constant.

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