A storage cube that has an edge length of 16 centimeters is being packed in a cardboard box with a length of 28 centimeters, a width of 18 centimeters, and a height of 22 centimeters. The extra space is filled with packing peanuts. The packing peanuts cost $0.002 per cubic centimeter. How much will it cost to fill the extra space with packing peanuts?

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = (\(\sqrt{-1}\))^2 = -1

(9 - 4(-1))

Add

(9 + 4)

= 13

Answer:

13.

Step-by-step explanation:

(3 - 2i)(3 + 2i)

= (3 * 3) + (-2i * 3) + (2i * 3) + (-2i * 2i)

= 9 - 6i + 6i - 4\(\sqrt{-1} ^{2}\)

= 9 - 4(-1)

= 9 + 4

= 13

Hope this helps!

The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

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Answer:

\(j = 7 \pm \sqrt{44}\)

Step-by-step explanation:

First, move the constant term to the other side of the equation.

\(j\² + 14j + 5 = 0\)

\(j\² + 14j = -5\)

Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.

\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)

\(j^2 + 14j + (7)^2 = -5 + (7)^2\)

\(j^2 + 14j + 49 = -5 + 49\)

\(j^2 + 14j + 49 = 44\)

Now, we can factor the left side as a square.

\((j+7)(j+7) = 44\)

\((j+7)^2 = 44\)

Finally, we can take the square root of both sides to solve for j.

\(\sqrt{(j+7)^2} = \sqrt{44\)

\(j+7=\pm\sqrt{44}\)

\(\boxed{j = 7 \pm \sqrt{44}}\)

Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:

if \(x^2 = a^2\),

then \(x = \pm a\)

because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

The value of x can be found by using the Tangent Trigonometric ratio, which is given as

From the question, we have the following values:

Substituting the values, we have

Solving, we have:

The correct answer is 24.3 units.

Answer:

-12

Step-by-step explanation:

-10 + (-2)

-10 - 2

Answer: -12

Answer:

-12is the answer,hope it will help you.

\(=-10+(-2)\\=-10-2\\=-12\)

Answer:

is 267 the answer your looking for

Answer:263

Step-by-step explanation:

Start from the ones place and subtract.

The new pyramid has a volume that is 2 times the volume of the original pyramid .

Given,

The new pyramid has a volume that is 2 times the volume of the original pyramid.

The volume of a rectangular pyramid is given by:

V = l × b × h

Where l is the length ,b is the width and h is the height

Now,

l'=l/2

b'=b/2

h'=2h

V' = Volume of new pyramid

= l' × b' × h'

= l/2×b/2×2h

= lbh/2

=V/2

Hence, Volume of new pyramid=2×Volume of old pyramid .

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Answer:

D. 5.9%

Step-by-step explanation:

I took the quiz and got it wrong but it did reveal the right answer.

Answer:

(x - 1)(x - 2)

Step-by-step explanation:

x² - 3x + 2

x² - x - 2x + 2

x(x - 1) - 2(x - 1)

(x - 1)(x - 2)

-TheUnknownScientist

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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The percent of the area that is not covered is 80 percent

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

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The amount provided by each offer after each year depends on the first

salary and the added amount or percentage series.

Reasons:

The given parameters of the job offers are;

Starting salary of offer A = $58,000

Amount by which the salary increases for 5 years = 3%

The starting salary offer B = $56,000

Amount by which the salary increases per year = $3,000

Part A: The salary amount received in the first month = $58,000

The salary in the second month, aₙ = 58,000 × (1 + 0.03)

a₂ = 58,000 × (1 + 0.03) = 58,000 × (1.03)

The salary in the third month is given as follows;

a₃ = a₂ × (1.03) = 58,000 × (1.03) × (1.03) = 58,000 × (1.03)²

The salary on the nth month is therefore;

aₙ = 58,000 × (1.03)⁽ⁿ⁻¹⁾

The above formula is in the form of the geometric series formula, which is presented as follows;

aₙ = a·r⁽ⁿ⁻¹⁾

Where;

a = The first term = 58,000

r = The common ratio = 1.03

n = The number of years

Therefore;

Offer A can be represented by an arithmetic series

Part B: The first year salary for offer B = $58,000

The salary on the second year, B₂ = 58,000 + 3,000 = 61,000

Salary on the third year, B₃ = 58,000 + 3000 + 3000 = 58,000 + 2 × 3,000

Therefore;

Salary on the nth year, Bₙ = 58,000 + (n - 1)×3,000

The above equation is in the form of aₙ = a + (n - 1)·d

Where;

a = The first term = 58,000

n = The number of years

d = The common difference = 3,000

Therefore;

Offer B can be represented by an arithmetic series

Part C: The income gained on offer A after 5 years, a₅, is given as follows;

a₅ = 58,000 × (1.03)⁽⁵ ⁻ ¹⁾ = 58,000 × 1.03⁴ ≈ 65,279.51098

The income gained on offer A after 5 years ≈ $65,279.51098

On offer B, we have;

a₅ = 58,000 + (5 - 1) × 3,000 = 70,000

The income gained on offer B after 5 years = $70,000

Therefore;

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Answer:

Step-by-step explanation:

Answer:

a) 6ab

b) c^6

c) 10y^7

d) 12g^4h^5

Step-by-step explanation:

a) 3 × a × 2 × b = 3 × 2 × a × b = 6ab

b) c^5 × c = c^(5 + 1) = c^6

c) 2y^4 × 5y^3 = 2 × 5 × y^4 × y^3 = 10y^(4 + 3) = 10y^7

d) 3gh^2 × 4g^3h^3 = 12g^4h^5

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

?=4

Step-by-step explanation:

First, we have to tell how we got from 9700 to 0.97. so we know that it is divided by 10^?. When you divide by 10, it is the same as moving the decimal point one space to the left. SO all you have to do is count how many times the decimal point got moved to get from 9700 to 0.97. This number is 4 so the question mark is 4 because 9700/10^4 will move the decimal place 4 to the right and give you 0.97.

a ruler is not the best tool to use to measure the field of view on medium- and high-power lenses.

Using a ruler to measure the field of view on medium- and high-power lenses would be difficult and inaccurate. This is because the magnification of the lenses changes the field of view, so a ruler would not be able to measure the field of view accurately at different magnifications. Additionally, a ruler is too small to measure the field of view accurately since it is usually measured in degrees. Therefore, Using a ruler to measure the field of view on medium- and high-power lenses is difficult and inaccurate. This is because the magnification of the lenses changes the field of view, and a ruler is not designed to measure this change. A ruler is also too small to measure the field of view accurately since it is usually measured in degrees. Therefore, using a ruler is not the most reliable tool for measuring field of view on medium- and high-power lenses. Instead, it is better to use a protractor or other specialized tools to accurately measure the field of view. Additionally, it is important to remember that the field of view changes with magnification and should be checked at different magnifications to get the most accurate measurement.

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Answer:

$ 100 is saved by paying the total amount at the time of purchase

Step-by-step explanation:

its Originally 800 but You put down 200 leaving it At 600 But 50 time 10 is 500 plus 200 more Because you pay 200 more for the last 4 months So 500 plus 200 is 700 plus the 200 you put down And it would be 900 instead of 800

Answer: 13

Step-by-step explanation:

Answer:

Hey Dude....

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Hey there!

We have 10 pieces of paper. The probability of drawing a 10 is 1/10.  Therefore, if we were to draw ten times, the ten should probably be drawn once. If we multiplied our number of drawings by four (10*4=40), our outcome of seeing our slip with the ten should also quadruple and become four times. (1*4=4)

I hope that this helps! Have an awesome day!

\( \large \bf \implies{ {x}^{2} + 3x - 10}\)

\((x + 5)(x - 2)\)

Step 1) : Using the identity

\( \bf \longrightarrow{(x+a)(x+b) = x² + (a+b)x + ab}\)

Step 2) : Simplify it with using the identity told earlier in step 1) .

\( \bf \longrightarrow(x + 5)(x - 2) \\ \\ \bf \longrightarrow{x}^{2} + (5 + ( - 2))x + (5)( - 2) \\ \\\bf \longrightarrow {x}^{2} + (5 - 2)x + ( - 10) \\ \\\bf \longrightarrow {x}^{2} +3x - 10\)

Step 3) : We have got the answer in step 2) .

\( \large\bf \longrightarrow { {x}^{2} + 3x - 10}\)

Based on the scatter plot on perishable and nonperishable items purchased by customers, the following is true:

Looking at the y-axis which shows the number of nonperishable items bought, the number of dots we find at 5 is 3 which means 3 people bought 5 nonperishable items.

The median of perishable items requires that we order the perishable items bought:

2, 2, 5, 6, 7, 8, 9, 10, 11

The median is 7 perishable items.

The number of people with the same number of perishable and nonperishables are 2 people.

One purchased 8 nonperishables and 8 perishables and the other purchased 9 of both items.

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The number of ways to draw the socks in each case is given as follows:

a) 90 ways.

b) 48 ways.

c) 42 ways.

The Fundamental Counting Theorem states that if there are m ways for one trial and n ways for another trial, then there are m x n ways in which the two trials can happen simultaneously.

This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual trial, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For item a, we have that there are no restrictions, hence there are 10 options for the first sock and 9 for the second, hence:

10 x 9 = 90.

For item b, we need one of each, hence the possible combinations are:

Hence:

6 x 4 + 4 x 6 = 48.

For item c, we can take 6 then five(two blue) or 4 then 3(two white), hence:

6 x 5 + 4 x 3 = 42.

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The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Answer:

3.33

Step-by-step explanation:

1st get the line in point slope form (y = mx + b)

-2X + 3y + 3 = 0

3y = 2x - 3

y = (2/3)x - (3/3)

y = (2/3)x - 1   (slope = 2/3 and y-intercept is -1)

The distance from a point to a line is line segment starting at the point and perpendicular (shortest distance) to 1st line. A line perpendicular to the 1st line will have a negative inverse slope. So the line created in point slope form will look like

y = mx + b

y = (-3/2)x + b and using the given point (3,5)

5 = (-3/2)3 + b

5 - (-3/2)3 = b

5 + 9/2 = b

b = 19/2   So it's equation is

y = (-3/2)x + 19/2

At the point where the segment intersects the 1st line, that point must solve both equations, so we can set the equation equal to each other (both y's and both x's same).

(2/3)x -1 = (-3/2)x + 19/2

(2/3)x - (-3/2)x = 1 + 19/2

(2/3 + 3/2)x = 21/2

x = (21/2) / (2/3 + 3/2) = 4.846, now plug that into the 1st equation to get y

y = (2/3)x - 1

y = (2/3)4.846 - 1

y = 2.231 so the intersection point is (4.846,2.231) from (3,5).

Because of the pythagorean theorem (the two points form a right triangle) the distance will be

C**2 = A**2 + B**2

        = (4.846 - 3)**2 + (2.231 - 5)**2

        = 1.846**2 + (2.769)**2

   C     = 3.33