Value of peters house has risen 20% a year for the last three years. If the value of peters home three years ago was $120 thousand what is the value now

Answer:

E) C and D. is the answer to ur q

Answer:

\(\sf 113 \ km^3\)

Step-by-step explanation:

Volume of cylinder:

Find radius from the diameter.

        r = 12 ÷ 2

        r = 6 km

       h = 1 km

Substitute r and h in the below formula,

      \(\boxed{\text{\bf Volume of cylinder = $\bf \pi r^2h$}}\)

                                           \(\sf = 3.14*6*6*1\\\\= 113.04 \\\\ =113 \ km^3\)

Hello !

Answer:

\(\Large \boxed{\sf V\approx 113.0\ km^3}\)

Step-by-step explanation:

The volume of a cylinder is given by \(\sf V=\pi\times r^2\times h\) where r is the radius and h is the heigth.

Given :

Let's replace r and h with their values in the prevous formula :

\(\sf V=\pi\times6^2\times1\\V\approx 3.14\times 36\\\boxed{\sf V\approx 113.0\ km^3}\)

Have a nice day ;)

Area: 68

Perimeter: 50

Answer:

Step-by-step explanation:

Find a rational number between 1/4 and 1/3

(1/4 + 1/3) : 2 =

7/12 : 2 =

7/24

Answer: the measure of H is 39 the measure of G is 51

Step-by-step explanation:

6x-15+3x+6=90

9x-9=90

9x=99

x=11

6(11)-15=51

3(11)+6=39

Answer:

47% or47/100

Step-by-step explanation:

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.

Distance equals speed multiplied by time.

Distance between Alice and Bob=1000 feet.

Distance between the bird and Bob=1000 feet.

Speed of Alice and Bob=10 feet per second.

The combined speed of Alice and Bob=20 feet per second.

Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)

The time covered at the meeting point=20 second (1000/50)

Speed of the bird=20 feet per second.

The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).

Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.

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Answer:

4x^4y^8

Step-by-step explanation:

The gain equation for the differential amplifier is Vo = (R2/R1) * Vin * (R4 / (R3 + R4)), considering perfect conditions and accepting coordinated transistors.

To determine the gain equation for the given  differential enhancer  circuit, we'll analyze it step by step:

1. Differential Input stage:

Accepting perfect op-amps and superbly coordinated transistors, the input organize opens up the voltage distinction between V1 and V2. Let's indicate this voltage contrast as Vin = V1 - V2.

The streams streaming through resistors R1 and R2 rise to, given by I1 = I2 = Vin / R1, expecting no current streams into the op-amp inputs.

Utilizing Kirchhoff's Current Law at the hub where R3 and R4 meet, we discover the streams Iout1 and Iout2 as takes after:

Iout1 = I1 * (R4 / (R3 + R4))

Iout2 = I2 * (R4 / (R3 + R4))

2. output stage:

The output stage changes over the differential enhancer  Iout1 and Iout2 into a voltage yield, Vo. Expecting a stack resistor RL, the voltage over it is given by Vo = (Iout1 - Iout2) * RL.

Substituting the values of Iout1 and Iout2, we get:

Vo = (Vin / R1) * (R4 / (R3 + R4)) * RL

Rearranging encourage:

Vo = (Vin * R4 * RL) / (R1 * (R3 + R4))

At last, presenting the ideal figure G = R2 / R1, the ideal condition for the differential intensifier is gotten as:

Vo = G * Vin * (R4 / (R3 + R4))

In this manner, the determined ideal condition for the given differential enhancer circuit is Vo = (R2 / R1) * Vin * (R4 / (R3 + R4)).

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Answer:

Step-by-step explanation: < thsi one is the answer

The result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

To calculate log4 57 to the nearest thousandth, we can use a scientific calculator or a logarithmic table.

Using a calculator, we can find the logarithm of 57 to the base 4 directly:

log4 57 ≈ 3.682

Therefore, the correct answer is option C: 3.682.

If you prefer to verify the result using logarithmic properties, you can do so as follows:

Let's assume log4 57 = x. This means \(4^x\) = 57.

Taking the logarithm of both sides with base 10:

log (\(4^x\)) = log 57

Using the logarithmic property log (\(a^b\)) = b \(\times\) log a:

x \(\times\) log 4 = log 57

Dividing both sides by log 4:

x = log 57 / log 4

Using a calculator to evaluate the logarithms:

x ≈ 3.682

Thus, the result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

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Child is prescribed amoxicillin to be given 3 times per day. If she weighs 81 pounds, the maximum dose that she should receive is 500mg.

First, we need to convert the weight of the child from pounds to kilograms. We can do this by dividing the weight in pounds by 2.205 to get the weight in kilograms:

81 pounds÷2.205=36.74 kg

Next, we can calculate the maximum dose of amoxicillin that the child should receive per day by multiplying her weight in kilograms by 40 mg/kg:

36.74 kg×40 mg/kg=1469.6 mg

Since the maximum dose should not exceed 1500 mg per 24 hour period, the child should receive no more than 1500 mg of amoxicillin per day.

Finally, we need to divide the maximum daily dose by 3 to determine the maximum dose per individual dose, since the medication is prescribed to be given 3 times per day:

1500 mg÷3=500 mg

Therefore, the maximum dose of amoxicillin that the child should receive per individual dose is 500 mg.

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Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

The solution to the equation below rounded to 2 decimal places is 22.20.

Given the logarithmic expressions

ln x = 3.1

We are to determine the value of "x"

ln x = 3.1

Take the exponent of both sides

e^ln x = e^3.1

The exponent will cancel out the log function to have:

x = e^3.1

x = 22.197

Hence the solution to the equation below rounded to 2 decimal places is 22.20.

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Answer:

12,000

Step-by-step explanation:

You can simply do this in your head by multiplying 3 x 4.

If the data is expectedly normally distributed, then adopting the standard deviation could be considered a reasonable way of calculating spread in order to review box plots.

When comparing box plots, which measure of spread is the better option ultimately relies upon the particular characteristics of the data being studied and the research question targeted.

The visualization presented by a box plot grants an indicative summary of the information’s distribution and dispersal, displaying the median, quartiles, as well as absolute minimum and maximum values. Nevertheless, it is possible for two similar box lengths to have mismatched spreads or outliers.

If the data is expectedly normally distributed, then adopting the standard deviation could be considered a reasonable way of calculating spread in order to review box plots. On the other hand, if the data does not conform to normalcy or hosts outliers, then some other ways of measuring spread may be more pertinent such as interquartile range (IQR) or the range.

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There are total 35 students in the class.

Given that,

Vikas ranks 9th in the class,

Assume that there are 'n' number of students in the class  

Therefore,

There are 8 students who have scored better than him.

So, The total number of students with a rank better or equal to Vikas,

= 8 + 1 (Vikas himself)

= 9.

Now, his friend got the 35th rank which is the last rank

This means that there are a total of 35 students in the class.

Also, also given that,

Vikas's rank from the last is 27th,

This means that there are 26 students who have scored lower than Vikas.

So, the total number of students with a rank worse or equal to Vikas,

= 26 + 1 (Vikas himself)

 = 27.

Therefore, The total number of students in the class = 35.

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The option D is the correct option.

According to the statement

we have to define the sample variance in the words.

So,

The sample variance is the sum of the squared deviations from the mean divided by the number of measurements minus one.

and in the case of the population variance it becomes

The population variance is the average of the squared distances of the measurements on all units in the population from the mean.

This is the method by which we define the sample variance and population variance.

So, The option D is the correct option.

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Sorry I don't know good luck

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

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Answer:

35.

Step-by-step explanation:

The term "absolute value" asks for the number without any negativity, e.g. distance. Even if you go backwards from your original spot, you still move.

No, the matrix A is not orthogonal. To determine if a matrix is orthogonal, we need to check if the product of the matrix and its transpose equals the identity matrix.

However, for matrix A, if we calculate A * A^T (where A^T is the transpose of A), we do not obtain the identity matrix.

Let's calculate x' = λx, where x and λ are given quantities. We multiply the matrix λ with the matrix x, resulting in the matrix x'.

Next, we calculate x^T * x, which is the dot product of the matrix x with its transpose. This gives us a scalar value.

Finally, we calculate (x')^T * (x'), which is the dot product of the matrix x' with its transpose. This also gives us a scalar value.

By performing these calculations, we can determine the quantities x', x^T * x, and (x')^T * (x'), which proves the matrix A is not orthogonal.

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1.The indifference curves for the utility function u(x1, x2) = (x1 + x2)^2 hit the axes at the points (0,1) and (1,0).The reason the indifference curves hit the axes is that the utility function is defined as the squared sum of x1 and x2. When one of the goods is consumed exclusively, the utility level is positive but lower than when both goods are consumed. Thus, the consumer is indifferent between consuming only one good and consuming a positive quantity of the other good, resulting in indifference curves hitting the axes.

2.Marshallian demand functions for goods 1 and 2 will be:
x1(p1, p2, I) = I / (2p1)
x2(p1, p2, I) = I / (2p2)

Hicksian demand functions for goods 1 and 2 are:
h1(p1, p2, u) = u / (p1^2)
h2(p1, p2, u) = u / (p2^2)

To graph the indifference curves for the utility function u(x1, x2) = (x1 + x2)^2, we need to plot various combinations of x1 and x2 that yield the same utility level. Let's start by graphing the indifference curves through the consumption bundles (1,1) and (2,2).
Step 1: Choose a range of values for x1 and x2.
Let's select values for x1 and x2 ranging from 0 to 3.
Step 2: Calculate the utility level for each combination of x1 and x2.
Using the utility function u(x1, x2) = (x1 + x2)^2, we can calculate the utility level for each combination.
For (1,1):
u(1,1) = (1 + 1)^2 = 4
For (2,2):
u(2,2) = (2 + 2)^2 = 16
Step 3: Plot the points on a graph.
On a graph with x1 on the x-axis and x2 on the y-axis, plot the points (1,1) and (2,2) corresponding to the given consumption bundles.
Step 4: Draw the indifference curves.
Connect the points that have the same utility level to draw the indifference curves. Since the utility function is quadratic, the indifference curves will be concave and symmetric.
Step 5: Determine if the indifference curves hit the axes.
In this case, the indifference curves do hit the axes.
At the point (0,1), the utility level is u(0,1) = (0 + 1)^2 = 1.
At the point (1,0), the utility level is u(1,0) = (1 + 0)^2 = 1.
Therefore, the indifference curves for the utility function u(x1, x2) = (x1 + x2)^2 hit the axes at the points (0,1) and (1,0).
The reason the indifference curves hit the axes is that the utility function is defined as the squared sum of x1 and x2. When one of the goods is consumed exclusively, the utility level is positive but lower than when both goods are consumed. Thus, the consumer is indifferent between consuming only one good and consuming a positive quantity of the other good, resulting in indifference curves hitting the axes.

(2)Finding the Marshallian and Hicksian demand functions:
The Marshallian demand function represents the consumer's optimal choice of goods based on prices and income. The Hicksian demand function represents the consumer's optimal choice of goods based on prices and utility.
To find the Marshallian demand function, we maximize the utility function subject to the budget constraint. However, since the utility function is already maximized when the quantities of both goods are equal, the Marshallian demand functions for goods 1 and 2 will be:
x1(p1, p2, I) = I / (2p1)
x2(p1, p2, I) = I / (2p2)
For the Hicksian demand function, we differentiate the expenditure function e(p1, p2, u) = p1 + p2u/(p1p2) with respect to p1 and p2. The Hicksian demand functions for goods 1 and 2 are:
h1(p1, p2, u) = u / (p1^2)
h2(p1, p2, u) = u / (p2^2)

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Answer:

The correct answer is B. -3.

Step-by-step explanation:

To solve this problem, we need to plug in -3 for all of the values of x in the equation.  If we do this, we get:

f(x) = 2x + 3

f(-3) = 2(-3) + 3

Now, we can just simplify the expression found on the right side of the equation using PEMDAS.  First, we should perform the multiplication.

f(-3) = -6 + 3

Next, we should add our final two terms together.

f(-3) = -3

Therefore, the correct answer is -3.

Hope this helps!

Answer:

B :)

Step-by-step explanation:

calculate the percentage increase in working hours, we use the formula: (New Value - Old Value) / Old Value * 100. By substituting the given values, we find that the working hours increased by approximately 22.22%.

the percentage increase in working hours from August to September, we follow these steps:

Calculate the difference between the hours worked in September and August:

Difference = 44 hours - 36 hours = 8 hours.

Calculate the percentage increase using the formula:

Percentage Increase = (Difference / August hours) * 100.

Substituting the values, we have:

Percentage Increase = (8 hours / 36 hours) * 100 ≈ 0.2222 * 100 ≈ 22.22%.

Therefore, the working hours increased by approximately 22.22% from August to September.

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The side-side-side shortcut is a congruence technique (SSS). Side-angle-side (SAS), which uses two sets of sides and an angle between them that is known to be congruent, is another shortcut.

All three pairs of matching sides and all three pairs of corresponding angles are congruent when two triangles are congruent. The triangles are congruent if all three sets of comparable sides are present. When solving proofs, it's crucial to be aware of the shortcuts SSS and SAS.

SSS Similarity - Two geometric figures are similar if one is a scaled version of the other.  As a consequence, their angles will be the same.  This includes triangles, and the scaling factor can be thought of as a ratio of side lengths.

SAS Similarity- If two triangles have a common angle and the ratios of the sides that include this angle are equal, then the triangles are similar by SAS similarity.

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Answer:

B

Step-by-step explanation:

that means we put -6 into every place, where n is showing in the expression, and then we simply calculate.

cubic root(4n - 3) + n

n = -6

cubic root(4×-6 - 3) - 6 = cubic root(-27) - 6 =

= -3 - 6 = -9

The graph will consist of two diagonal lines: one representing Mary's initial walk, turnaround, and return to the classroom, and the other representing her run to lunch with a gradual decrease in speed as she approaches the cafeteria.

To sketch a distance vs. time graph based on the given description, we'll represent the time on the x-axis and the distance on the y-axis.

A. Mary left her classroom and walked at a steady pace to head to lunch:

In this portion, Mary is walking at a steady pace, indicating a constant speed. We can represent this as a straight, diagonal line on the graph, starting from the initial distance (0) and increasing gradually over time until she reaches halfway to the lunch area.

B. Halfway there, Mary stopped to look through her bag for her phone but couldn't find it:

At the halfway point, Mary stops to search her bag. Since she is stationary during this time, the graph will show a horizontal line at the same distance she reached before stopping. This horizontal line represents the time Mary spends searching her bag.

C. Mary turned around to quickly return to her classroom to get her phone that she left at her desk:

After realizing her phone is in the classroom, Mary turns around to go back. This is represented by a straight, diagonal line on the graph, but in the opposite direction. The distance decreases as she retraces her steps until she reaches the classroom.

D. Mary then ran all the way to lunch, gradually decreasing her speed as she neared the cafeteria:

Once Mary retrieves her phone, she runs all the way to lunch. Initially, the graph will show a steeper diagonal line, indicating an increase in distance covered over time. However, as she approaches the cafeteria, her speed gradually decreases. This is represented by a shallower diagonal line on the graph, showing a slower increase in distance over time.

Overall, the graph will consist of two diagonal lines: one representing Mary's initial walk, turnaround, and return to the classroom, and the other representing her run to lunch with a gradual decrease in speed as she approaches the cafeteria. The horizontal line in the middle represents the time Mary spends searching her bag.

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Answer:

Step-by-step explanation:

49.3488

The multiplicative rate of change of the function f(x) = 2 * 5ˣ is 5

From the question, we have the following parameters that can be used in our computation:

f(x) = 2 * 5ˣ

Also, we have the following points on the line

(1, 10), (2, 50), and (3, 250).

An exponential function is represented as

f(x) = a * bˣ

Where

a = initial value

b = multiplicative rate

using the above as a guide, we have the following:

b = multiplicative rate = 5

Hence, the multiplicative rate of change of the function is 5

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