Click on the number until you find the right quotient. 36m5n5 ÷ (12m3)

9mn^2
7m^4n^2
3m^2n^5

Answer:

The value of printer will $23,219.72 after 8 years.

Step-by-step explanation:

Given that, Daniels print shop purchases a new printer for $35,000.

Each year it depreciates at a rate 5%.

Exponential function:

[tex]P(t)=P_0(1-r)^t[/tex]

P(t)= Price of printer after t years

[tex]P_0[/tex]= Initial price of printer

r= rate of depreciate.

t=Time

Here, [tex]P_0[/tex] = $35,000,r=5%=0.05, t=8 years

[tex]P(8)= 35000(1-0.05)^8[/tex]

      =$23,219.72

The value of printer will $23,219.72 after 8 years.

The exponential equation is solved and the cost of printer is A = $ 23219.71

Given data:

To find the approximate value of the printer after 8 years, considering a depreciation rate of 5% per year, we can use the formula for exponential decay:

V = P * (1 - r)^t

Where:

V = Value after t years

P = Initial value (purchase price)

r = Depreciation rate (as a decimal)

t = Number of years

In this case, the initial value (P) is $35,000, the depreciation rate (r) is 5% or 0.05, and the number of years (t) is 8.

Plugging in these values into the formula:

V = 35,000 * (1 - 0.05)⁸

V = 35,000 * (0.95)⁸

On simplifying the equation , we get

V ≈ 35,000 * 0.6634

V ≈ $ 23219.71

Hence, the approximate value of the printer after 8 years, considering a 5% depreciation rate per year, is $ 23219.71

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The number of unit cubes in one layer may vary depending on the type of cubic lattice structure. In a simple cubic lattice, there is one atom per unit cell. However, without specific dimensions or the exact structure type, the exact number of cubes per layer cannot be determined.

When we talk about the number of unit cubes in one layer, we must understand the geometry of the structure we are discussing. In a simple cubic lattice, each layer is made up of unit cubes that sit next to each other on each side. If the structure is in fact a simple cubic unit cell, then according to Figure 10.49 which describes this as having an atom at each of its eight corners and being shared by eight unit cells, there would be a total of one atom per unit cell.

In the context of a body-centered cubic structure mentioned, which is depicted in Figure 10.51, atoms in a specific layer do not touch each other, making the calculation of unit cubes in a single layer less straightforward; the cubes in the layers above and below touch the atom at the center.

Without specific dimensions or the type of cubic structure (simple cubic, face-centered cubic, or body-centered cubic), the exact number of unit cubes per layer cannot be determined. If we consider a cube made up of smaller unit cubes with a known side length, such as the polystyrene cube measuring 10 cm per side as mentioned, the number of unit cubes per layer would simply be the area of the cube's face divided by the area of one unit cube face. For a 10 cm cube, if each unit cube is 1 cm3, then there would be 10 x 10 = 100 unit cubes per layer.

Answer:

D

Step-by-step explanation:

If it is half the distance, it would be divided by 2. plus 5 miles more would be added after the division.

Answer:

Most students ride the bus since the pie chart section is biggest at the bus section.

23 people walking / 100 people is 23% and 23% of 100 is 23 people.

Step-by-step explanation:

Answer:

Do most students walk, bike, or bus to school?

Most students

✔ bus to school.

If 100 students were surveyed, how many students walk to school each day?

✔ 23 students

Step-by-step explanation: I just did it, it's 100% correct!

Answer:

SE=$128.13

Step-by-step explanation:

-Given the sample mean is $34,250 and standard deviation is $2,050 with n=256:

-Standard error is calculated using the formula:

[tex]SE=\frac{s}{\sqrt{n}}[/tex]

Where s is the sample standard deviation.

#We substitute our values to solve for SE:

[tex]SE=\frac{s}{\sqrt{n}}\\\\=\frac{2050}{\sqrt{256}}\\\\=128.125\approx128.13[/tex]

Hence, the standard error is $128.13

Answer:

No solution

Step-by-step explaination

i got it right have a great day  

There is no solution because the variables level out to zero. Option D

A simultaneous equation, also known as a system of equations, refers to a set of two or more equations with multiple variables that are solved together. To find a solution to the system, we are looking for values of x and y that make both Equation 1 and Equation 2 true at the same time.

We have the equation as;

5x – 4y = 6  ---(1)

–5x + 4y = –10 ---- (2)

Add (1) and (2)

When we add the both equations, we would arrive at no possible solution because the variables would be levelled out to zero.

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Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

Answer:

He spent 5km walking and 30km on the bus

Step-by-step explanation:

This is the complete question;

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.

How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

solution;

In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.

We proceed as follows;

Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.

Mathematically;

x + y = 35 ••••••••••(i)

Now we know that total distance is 60km at a time of 1.5hours.

Total time = total distance/total time

Time taken to walk = x/5

Time used on the bus = y/60

Adding both will give the total time of 1.5 hours

x/5 + y/60 = 1.5

12x + y = 90 •••••••••(ii)

let’s subtract i from ii

11x =55

x = 55/11 = 5km

Recall x + y = 35

y = 35-5

y = 30km

Answer:

(2,-1)

Step-by-step explanation:

Multiply everything by 1/3:

6*1/3=2

-3*1/3=-1

This makes it smaller, so you know what the dilation is.

Answer:

first person is correct

Step-by-step explanation:

Answer:

24 candies originally

Step-by-step explanation:

Add the 4 to how many you had left, then think about that number, 16, and what goes into 16 evenly 2 times? 8 and originally she gave away 1/3 of the box and if you were to add another 8 to the box it would be 24 divided by 1/3, -,-4,= 12.

Answer:

Interquartile Range

Step-by-step explanation:

In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data.

Answer:

Median

Step-by-step explanation:

Median is the middle number in a data set, or the middle value in a list of numbers.

I tried.

Answer:

-45

Step-by-step explanation:

I think it means that you just solve it.

Answer:

Those numbers are factored to

3(2x+3)2 <-------- the last 2 is squared

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

Answer: 1,833,615

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 800,000 (1+ 5/100)^17

A = 1,833,615  

Feel free to ask for more if needed or if you did not understand something.

Answer: A. Experimental Study

Answer and Step-by-step explanation:

First, you want to graph the line of x = -1. This line is simply a vertical line running through (-1, 0).

The coordinates of each of the points are:

G(5, 9)

F(8, 9)

D(5, 6)

E(8, 6)

When we reflect point G over the line x = -1, we will get a point with the same y-coordinate, but with a different x-coordinate. Since 5 is 6 units away from -1, when you reflect G, the new x-coordinate will be -1 - 6 = -7. So, the new point for G is (-7, 9).

By similar reasoning for all the other points, we have:

F'(-10, 9)

D'(-7, 6)

E'(-10, 6)

Finally, just graph the points G'(-7, 9), F'(-10, 9), D'(-7, 6), and E'(-10, 6), and that's your new shape.

Hope this helps!

Answer:

D': (-7,6)

E': (-10,6)

F': (-10,9)

G': (-7,9)

Step-by-step explanation:

D: (5,6)

E: (8,6)

F: (8,9)

G: (5,9)

After reflection in x = -1

D': (-1-6,6)

E': (-1-9,6)

F': (-1-9,9)

G': (-1-6,9)

D': (-7,6)

E': (-10,6)

F': (-10,9)

G': (-7,9)

Answer:

2/3

Step-by-step explanation:

Well, it supplied the formula, so let's start from there.

    P(A or B) = P(A) + P(B) - P(A and B)

Let A = the probability that the red die shows a number larger than three

Let B = the probability that the green die shows a number less than three

I'm assuming they both have 6 numbers on them, like a regular die.

    So there are 3 possibilities that are larger than 3 (4, 5, and 6) and 6 total possibilities, so A = 3/6.

    There are 2 possibilities that are less than 3 (1 and 2) and 6 total possibilities, so B = 2/6.

Plug that into the formula.

    P(A or B) = 3/6 + 2/6 - P(A and B)

Now we have to subtract the probability that both A and B happen, which is 3/6 * 2/6 = 6/36 = 1/6.

    P(A or B) = 3/6 + 2/6 - 1/6

    P(A or B) = 4/6 = 2/3

Answer:

18.75%

Step-by-step explanation:

The probability of the coin is 1/2, because it only has two options (tail or head).

Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8

Now the final probability is the multiplication of the probability of both events:

(1/2) * (3/8) = 0.1875 s 18.75%

In other words, the probability of these two events happening, that the tail comes out and is red, i

Answer:

3.88

4n + 0.24 = 15.76

     - 0.24   - 0.24

______________

4n            = 15.52

4n = 15.52

__    ____

4         4  

n = 3.88

Answer:

1. Compliment: 30 degrees. Supplement: 120 degrees.

2. Compliment: 42 degrees. Supplement: 132 degrees.

3. Compliment: None. Supplement: 83 degrees.

Answer:

43.17 ft/s

Step-by-step explanation:

Let the height of the wall is y.

distance of wall from light is 20 feet.

[tex]tan\theta =\frac{y}{20}[/tex]    

y = 20 tanθ    .... (1)

time period, T = 3 second

[tex]\frac{d\theta}{dt}=\frac{2\pi}{3}[/tex]

Differentiate equation (1) with respect to t.

[tex]\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}[/tex]

[tex]\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}[/tex]

dy/dt = 20 x 2.16

dy/dt = 43.17 ft/s

Answer: can u help me with an equation then I will help you?

Step-by-step explanation:

Answer:

Dilation

Step-by-step explanation:

Dialation-A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

Answer:

B) 112 cm²; 336 cm²

Step-by-step explanation:

The lateral area would be without the bases. In this case, the bases are the top and the bottom

Lateral Area

(2)(2.54)(8) = 40.64

(2)(2.54)(14) = 71.12

Add together and get 111.76 cm²

Surface Area

LA + Bases

Bases

(2)(14)(8) = 224

Add with lateral area and get 335.76 cm²

Answer:

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Corrected question;

In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes

Step-by-step explanation:

Given;

Total number of students = 65

Number of students with either blue or brown eyes;

= 10+30 = 40

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Probability is the likelihood of an event happening. In this case, the probability of picking a student with blue or brown eyes is 19/13.

Probability is the likelihood of an event happening, calculated by dividing the number of favorable outcomes by the total number of outcomes.

In this case, the total number of students is 65. The probability of picking a student with brown eyes is 65/65 = 1, and the probability of picking a student with blue eyes is 30/65. To find the probability of picking a student with either blue or brown eyes, you add the probabilities, getting 1 + 30/65 = 95/65, which simplifies to 19/13.

Answer:

2

Step-by-step explanation:

|a+x|/2 − |a−x|/2 , if a=−2; x=−6

Evaluate this expression

Simply plug in the numbers

| -2 + -6 | /2   -   |-2 - -6|/2

|-8| /2  -   |4|/2

4 - 2

2

Answer:

2

Step-by-step explanation:

So you're dealing with absolute value which means that whatever is inside these symbols |  | will be positive after all the calculations inside are done.

Plug in your values

|(-2) + (-6)|/2

-2 - 6 = -8

absolute value of -8 is 8

8/2 = 4

First part is 4

|(-2) - (-6)|/2

-2 + 6 = 4

4/2 = 2

Second part is 2

Put the two values back into your original equation

4-2 = 2

Answer:

[tex]\frac{1}{2}[/tex] of an hour

Step-by-step explanation:

Given:

Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening

To find:

Additional hours spent by Wayne exercising in the morning than in the evening.

Solution:

Time spent by Wayne in the morning = [tex]\frac{5}{6}[/tex] of an hour

Time spent by Wayne in the evening = [tex]\frac{1}{3}[/tex] of an hour = [tex]\frac{2}{6}[/tex] of an hour

So, Wayne spends [tex]\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}[/tex] more in the morning than in the evening.

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3​% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be [tex]A.[/tex]

Population ([tex]P[/tex]) = 300,000.

Rate per year ([tex]r[/tex]) = 3%.

Time ([tex]t[/tex]) = 13 years.

Now, we put formula to get the population of the city in 13 years:

[tex]A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.[/tex]

Therefore, the population of this city in 13 years is 440,550.

Answer:

The slope is 1 and the y-intercept is 2

Answer:

110 yd cubed

Step-by-step explanation:

The volume of a triangular pyramid is denoted by: [tex]V=\frac{1}{3} Bh[/tex] , where B is the base area and h is the height. We already know here that B = 22 and h = 15, so we can just plug in these values:

[tex]V=\frac{1}{3} *22*15=110[/tex]

Thus, the volume is 110 yards cubed.

Hope this helps!

Answer:

330

Step-by-step explanation:

Because the formula for volume is Base time height (BH) so the base was 22 and the height was 15 so you just multiply them

Answer:

The area of the surface that needs to be iced is 480 m².

Step-by-step explanation:

A cake has the same shape as a rectangular prism. A rectangular prism has six faces. The first one is formed by the length and the width, the second is formed by the length and the height and the third is formed by the width and the height, each of these faces is mirrored, so the surface area for the cake is:

surface area = 2*width*height + 2*width*length + 2*length*height

surface area = 2*12*4 + 2*12*12 + 2*12*4

surface area = 96 + 288 + 96 = 480 m²

The area of the surface that needs to be iced is 480 m².

Answer:

480 m².

Step-by-step explanation:

A cake will be similar to rectangular prism i.e a solid (3-dimensional) object which has six faces that are rectangle.

Finding surface area for all rectangular prisms involves both addition and multiplication. so the surface area for the cake is given by:

surface area = 2(widthxheight) + 2(widthxlength) + 2(lengthxheight)

surface area = 2(12 x 4) + 2(12 x 12) + 2(12 x 4)

surface area = 96 + 288 + 96 = 480 m²

Therefore, the cake will need the surface area of  480 m² to be iced.