The rectangles in the figure below are folded along the dotted lines at 90 * angles to make a completely closed rectangle box with no overlap. What is the volume of the resulting box?

The Rectangles In The Figure Below Are Folded Along The Dotted Lines At 90 * Angles To Make A Completely

Answers

Answer 1

The Volume of the resulting rectangular box is calculated as: 72 cubic units.

What is the Volume of a Rectangular Box?

A rectangular box's volume can be calculated using the formula expressed below:

Volume = length * width * height.

Using the image of the net of the rectangular box, when folded, the dimensions of the box would be:

Length = 6 units

Width = 10 - 6 = 4 units

Height = 11 - 4 - 4 = 3 units

Plug in the values:

Volume of rectangular box = 6 * 4 * 3 = 72 cubic units.

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Related Questions

is 1 over 16 the same as 16 A: Yes B.NO ​

Answers

Answer:

1 over 16 is not the same as 16.

1 over 16 is a fraction, which means that it represents a part of a whole. It can be written as 1/16, which means one part out of a total of sixteen equal parts.

On the other hand, 16 is a whole number, which represents a quantity of sixteen units.

So, 1/16 is not equal to 16.

Step-by-step explanation:

1/16 is definitely not the same as 16. 1/16 is seen as 1 part of 16 when 16 is seen as a whole

A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 29 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 15% rate of defects?

Answers

Answer:

Step-by-step explanation:

This problem can be solved using the binomial distribution, which gives the probability of obtaining a certain number of successes in a fixed number of independent trials.

Let p be the probability that a single ibuprofen tablet has a defect, which is given as 15% or 0.15. Then, the probability that a single ibuprofen tablet does not have a defect is 1 - p = 0.85.

The acceptance sampling plan requires that at most one tablet does not meet the required specifications out of 29 tablets. This means that the shipment will be accepted if there are 0 or 1 defective tablets in the sample of 29.

The probability of getting exactly k defective tablets in a sample of n tablets is given by the binomial probability formula:

P(k) = (n choose k) * p^k * (1 - p)^(n - k)

where (n choose k) = n! / (k! * (n - k)!) is the number of ways to choose k defective tablets out of n, and ! denotes the factorial function.

To find the probability that the whole shipment will be accepted, we need to find the probability that there are 0 or 1 defective tablets in the sample of 29:

P(0 or 1 defects) = P(0 defects) + P(1 defect)

= (29 choose 0) * 0.15^0 * 0.85^29 + (29 choose 1) * 0.15^1 * 0.85^28

≈ 0.1098

Therefore, the probability that the whole shipment will be accepted is approximately 0.1098 or 10.98%

Write the equation of a line parallel to 2y = x – 3 and that passes through point (-4,3) in slope intercept form.

Answers

Answer:

The equation of the line parallel to 2y = x – 3 and passing through point (-4,3) in slope-intercept form is y = (1/2)x + 5.

Step-by-step explanation:

To find the equation of a line that is parallel to 2y = x – 3, we need to determine the slope of the given line.

2y = x - 3 can be written in slope-intercept form y = (1/2)x - 3/2.

The slope of this line is 1/2.

Since we want a line parallel to this line, the slope of the new line will also be 1/2.

Next, we can use the point-slope form of a line to write the equation of the new line.

Point-slope form: y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values, we get:

y - 3 = (1/2)(x - (-4))

Simplifying, we get:

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

Adding 3 to both sides, we get the final equation in slope-intercept form:

y = (1/2)x + 5

Therefore, the equation of the line parallel to 2y = x – 3 and passing through point (-4,3) in slope-intercept form is y = (1/2)x + 5.

3x^6 • 5x^-2 simplified

Answers

Answer:

First, you distribute the 3 into the brackets,

3(x - 2) + 5x

=3(x) + 3(-2) + 5x

=3x - 6 + 5x

Adding the like terms, 3x and 5x, gives you

=8x - 6

Step-by-step explanation:

14 15. A composite figure is created from a cylinder and a cone like in the image below. Use the informative given in the image to find the volume of the composite figure. Select the closest estimate for the volume of the figure. 15 7 feet h​

Answers

The volume of the composite figure made of a cone and cylinder is derived to be equal to 3388 cubic feet.

How to evaluate for the volume of the composite figure

We shall calculate for the volumes of the cone and the cylinder, the sum of each volume will give the volume of the composite figure

The cone have;

radius = 7 ft

height = 34ft - 16ft = 18ft

Volume of the cone = 1/3 × 22/7 × 7ft × 7ft × 18ft

Volume of the cone = (22 × 7 × 6) ft³

Volume of the cone = 924 ft³

The cylinder have;

radius = 7 ft

height = 16 ft

Volume of the cylinder = 22/7 × 7ft × 7ft × 16ft

Volume of the cylinder = (22 × 7 × 16) ft³

Volume of the cylinder = 2464 ft³

Volume of the composite figure = 924 ft³ + 2464 ft³

Volume of the composite figure = 3388 ft³

Therefore, the volume of the composite figure made of a cone and cylinder is derived to be equal to 3388 cubic feet.

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someone pls help i really need help with this

Answers

Answer:

50° F

Step-by-step explanation:

35 - -15= 50

Check
-15 + 50 = 35

And 35 - 50 = -15

Please help Thanks
there is a FRACTION symbol two variable symbols y and x


I need to write an equation

Answers

The required equation of line is y = 2x

What is equation of line?

A straight line's equation is y=mx+c, where m denotes the gradient and c denotes the height at which the line crosses the y-intercept, also known as the y-axis.

According to question:

Given points:

(1,2) and (2,4)

then

[tex]Slope of line = \frac{4-2}{2-1}= 2[/tex]

then

y-2 = 2(x-1)

y = 2x - 2 + 2

y = 2x

Thus, required equation of line is y = 2x

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Given that the coefficient of x⁵ in the expansion of (1+kx)⁵ is -672 find the value of k

Answers

The value of k that satisfies the given condition is approximately 0.4041.

In the expansion of (1+kx)⁵, the coefficient of x⁵ is given by the term:

C(5,k) * (kx)⁵ = k⁵ * C(5,k) * x⁵

where C(5,k) is the binomial coefficient or the number of ways to choose 5 items out of k.

So, we have the equation:

k⁵ * C(5,k) = -672

We can use a table of binomial coefficients to find C(5,k) for different values of k, but this can be time-consuming. Alternatively, we can use the fact that C(5,k) = C(5,5-k) and rewrite the equation as:

k⁵ * C(5,5-k) = -672

Expanding C(5,5-k), we get:

k⁵ * C(5,5-k) = k⁵ * C(5,k) = -672

Now, we can use trial and error to solve for k. Using this method, we can find that k = -4 or k ≈ 0.4041. However, since k must be positive (since it appears as a factor in the expansion), the only valid solution is k ≈ 0.4041.

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What is the meaning of "Finally [tex]s _{i}\circ s_{i}=s _{j}\circ s_{i}=1[/tex] hence [tex]s _{j}=s_{i}\circ r_{i-j}[/tex] and [tex]s _{i}=r_{i-j}\circ s_{j}[/tex]?

Answers

This statement describes the relationship between symmetries and rotations

Explaining the meaning of the statement as stated

This statement describes a relation between two symmetry operations, denoted by [tex]s_i[/tex] and [tex]s_j[/tex], and a rotation operation denoted by [tex]r_{i-j}[/tex]. The notation [tex]"s_i \circ s_i"[/tex] and [tex]"s_j \circ s_i"[/tex] denotes the composition of these operations, which means applying one operation after the other.

The statement says that [tex]s_i[/tex] and [tex]s_j[/tex] are both symmetries, and that they have a specific relationship with each other: when [tex]s_i[/tex] is composed with itself, it gives the identity operation (denoted by 1), and when [tex]s_j[/tex] is composed with [tex]s_i[/tex], it also gives the identity operation.

Then the statement concludes that this relationship implies that [tex]s_j[/tex] can be obtained by first applying [tex]s_i[/tex] and then applying a rotation operation [tex]r_{i-j}[/tex], and that [tex]s_i[/tex] can be obtained by first applying a rotation operation [tex]r_{i-j}[/tex] and then applying [tex]s_j[/tex].

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Guys can someone help me with these 2 problems please that's the matrix

Answers

The solution of the matrix is [tex]4G + 2F = \begin{bmatrix}32 &-20 &-32& -8 &-40 \\-24& -28 &4 &36 &8 \\16& 24 &12 &28 &20 \\-16&-12 &0 &-40 &-36\end{bmatrix}[/tex]

A matrix is a rectangular array of numbers arranged in rows and columns. The size of a matrix is given by its dimensions, which indicate the number of rows and columns in the matrix. In this question, both matrices G and F have 4 rows and 5 columns, so we say that they are 4x5 matrices.

Scalar multiplication is performed by multiplying each element of a matrix by a scalar, which is simply a number.

Now, to find the value of 4G + 2F, we need to perform scalar multiplication on each matrix and then add the results. We get:

[tex]4G = 4 * \begin{bmatrix}8 &-5 &-8& -2 &-10 \\-6& -7 &1 &9 &2 \\4& 6 &3 &7 &5 \\-4&-3 &0 &-10 & -9\end{bmatrix}\\= \begin{bmatrix}32 &-20 &-32& -8 &-40 \\-24& -28 &4 &36 &8 \\16& 24 &12 &28 &20 \\-16&-12 &0 &-40 & -36\end{bmatrix}[/tex]

[tex]2F = 2 * \begin{bmatrix}1 &8 &-2& -5 &9 \\-9& 10 &6 &-3 &0 \\4& 5 &-4 &3 &7 \\2&-10 &-6 &-1 & -8\end{bmatrix}= \begin{bmatrix}2 &16 &-4& -10 &18 \\-18& 20 &12 &-6 &0\\8& 10 &-8 &6 &14 \\4&-20 &-12 &-2 & -16\end{bmatrix}[/tex]

Now, we can perform matrix addition on 4G and 2F to get:

[tex]4G + 2F = \begin{bmatrix}32 &-20 &-32& -8 &-40 \\-24& -28 &4 &36 &8 \\16& 24 &12 &28 &20 \\-16&-12 &0 &-40 &-36\end{bmatrix}[/tex]

Therefore, the value of 4G + 2F is the 4x5 matrix given above.

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3. Write the following using exponential notation:
(5.
5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7)

Answers

Answer:

5.5.5.5.5.5.5.5.5 in exponential notation is 5^9

7.7.7.7.7.7.7.7.7.7.7.7.7.7 in exponential notation is 7^13

Therefore, (5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7) in exponential notation is:

5^9 * 7^13

Which of the following statements about the number line
is true?

A. Number lines can't help you compare numerals.

B. Numbers get larger as you move to the left on the
number line.

C. Numbers get smaller as you move to the left on the
number line.

D. Number lines end with the number 10.

Answers

Hi the answer is C hope this helps have a great day

Reasoning What is the height of the square​ pyramid? Use pencil and paper. Once you know which length represents the​ hypotenuse, does it matter which length you substitute for a and which length you substitute for​ b? Explain.

Answers

The height of the square pyramid is 35.5 in.

From the given figure we can see that the figure is a pyramid.

The base of the pyramid is a square.

The each side of base square i = 24.8 in.

The slant height is = 37.6 in.

So the right angle formed in between prism has hypotenuse = 37.6 in.

one of the rest two sides = 24.8/2 = 12.4 in.

So another side is the height of the pyramid. Let that side be = x in.

By Pythagoras Theorem we get,

(12.4)² + x² = (37.6)²

153.76 + x² = 1413.76

x² = 1413.76 - 153.76

x² = 1260

x = 35.5 (rounding off to nearest tenth and neglecting the negative value obtained from square root as length cannot be negative.)

Hence the height of the square pyramid is 35.5 in.

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Kyle has three times as much money in his savings account as Hayden Hayden has twice as much money in his savings account as Jeremy combine Kyle Hayden and Jeremy have a total of 612 how much money does Kyle have in his account

Answers

Kyle has $306 in his account so, right answer is Option D.

Let Kyle's money = x

Hayden's money = y

Jeremy's money = z

Given that Kyle has three times as much money in his savings account as  Hayden.

x = 3y   .....Eqn 1

Hayden has twice as much money in his savings account  as Jeremy.

z = 2y  ..... Eqn 2

Now Combined Kyle, Hayden, and Jeremy have a total of  $612.

x+y+z=612   .....Eqn 3

Putting value of x and z from Eqn 1 and 2 in Eqn 3

6y = 612

y = 106

Putting in Eqn 1;

x = 306

Thus, Kyle has $306 in his account.

The right answer is Option D.

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what are the coordinates of each point after quadrillateral MNPQ is trans;ated 2units right and 5 units down

Answers

The coordinates of each point after the quadrilateral MNPQ is translated 2 units right and 5 units down are:

M' = (x1 + 2, y1 - 5)

N' = (x2 + 2, y2 - 5)

P' = (x3 + 2, y3 - 5)

Q' = (x4 + 2, y4 - 5)

How to calculate the coordinates?

To calculate the coordinates, we shall assume that the coordinates of the points of the quadrilateral MNPQ are:

M = (x1, y1)

N = (x2, y2)

P = (x3, y3)

Q = (x4, y4)

Next, we translate the quadrilateral 2 units right and 5 units down by adding 2 to the x-coordinate and subtracting 5 from the y-coordinate of each point.

The new coordinates of the points after the translation will be:

M' = (x1 + 2, y1 - 5)

N' = (x2 + 2, y2 - 5)

P' = (x3 + 2, y3 - 5)

Q' = (x4 + 2, y4 - 5)

Therefore, the coordinates of each point after the quadrilateral is translated 2 units right and 5 units down are:

M' = (x1 + 2, y1 - 5)

N' = (x2 + 2, y2 - 5)

P' = (x3 + 2, y3 - 5)

Q' = (x4 + 2, y4 - 5)

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Question completion:

Although part of your question is missing, you might be referring to the below question:

What are the coordinates of each point after quadrilateral MNPQ is translated 2 units right and 5 units down?

Examine the steps below. Between which two lines was a mistake made?

A.
between line 1 and line 2
B.
between line 2 and line 3
C.
between line 3 and line 4
D.
between line 4 and line 5

Answers

Answer:

A and D

Step-by-step explanation:

A- when multiplying -5 and -3 it should be positive 15.

D- when dividing 3 they just outta nowhere forgot about the negative, it should've been -5

Hello please I don't understand this exercise..
In an orthonormal frame (o; i; j), we give the points A(3; 1), B(1; 2) and the line (AC) with equation 2x-y-5=0.
1) Determine the equation of the line (AB).
2)a) Show that the direction vectors AB and AB of the lines (AC) and (AB) are orthogonal.
b) Then determine the coordinates of C.

Answers

The equation of the line AB,with slope of -1/2 is  y = (-1/2)x + 7/2. We then use the dot product to show that the direction vectors of the lines AB and AC are orthogonal, and the coordinates of point C is (6,7).

In an orthonormal frame (o; i; j), the points A and B are given as A(3;1) and B(1;2), and the line (AC) is given by the equation 2x-y-5=0.

To determine the equation of line (AB), we need to find the slope (or gradient) of the line passing through A and B. We can find this by using the formula

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Substituting the values of A and B, we get

slope = (2 - 1) / (1 - 3) = -1/2

Now that we have the slope, we can use the point-slope form of a line to find the equation of line (AB). Let (x,y) be any point on the line, then we have

y - 1 = (-1/2)(x - 3)

Simplifying, we get

y = (-1/2)x + 7/2

So the equation of line (AB) is y = (-1/2)x + 7/2.

To show that the direction vectors AB and AC of the lines (AB) and (AC) are orthogonal, we need to find the direction vectors of these lines and show that their dot product is zero. The direction vector of a line is just the vector that "points" in the direction of the line. To find it, we can take any two points on the line and subtract their coordinates to get a vector.

For line (AC), we can take A and C as two points on the line. Since we don't know the coordinates of C yet, we can solve the equation of line (AC) for x to get

x = (y + 5) / 2

Now substituting x by the above expression in the coordinates of point A we get

C((y + 5)/2, y)

Thus, the direction vector of line (AC) is

AC = C - A = ((y + 5)/2 - 3, y - 1) = (y/2 - 7/2, y - 1)

Similarly, we can take A and B as two points on the line (AB) to get the direction vector of line (AB):

AB = B - A = (1-3, 2-1) = (-2, 1)

Now, the dot product of AB and AC is

AB · AC = (-2)(y/2 - 7/2) + (1)(y - 1) = -y + 7

We can see that the dot product is zero when y=7. Hence, direction vectors AB and AC are orthogonal at point C(3,7).

To determine the coordinates of C, we substitute y=7 in the equation of line (AC) we obtained earlier

2x - y - 5 = 0

2x - 7 - 5 = 0

2x = 12

x = 6

Therefore, C has coordinates (6,7).

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Use the unit circle to find exact value of the trig function
sin(135°)

Answers

The exact value of sin is √2/2

The volume of a juice box is about 24 cubic inches.

Answers

1. Length = 4 cm, width = 3 cm, height = 2 cm
The volume of this juice box is 4 x 3 x 2 = 24 cubic cm.

What does |23| mean?

Answers

The vertical lines on each side of the number are used to mean the absolute value of the number. If the number is negative, make it positive. If the number is positive, leave it alone.

|23| = 23
|-23| = 23

Solve for x. Round to the nearest tenth, if necessary.

50 points

Answers

Answer: 8.7

Step-by-step explanation:

Given:

hypotenuse = 9

Angle x =75

opposite of angle = x

Solution:

From SOH CAH TOA, use SOH

sin x = [tex]\frac{opposite}{hypotenuse}[/tex]                  > substitute

sin 75  = [tex]\frac{x}{9}[/tex]                           > multiply both sides by 9

9*sin 75 =x

x=8.7

Screenshot below i have no idea how to solve this

Answers

Answer:

x^1/4 + 8x^1/4 + 12

Step-by-step explanation:

Using the FOIL method, we get x^1/4 + 8x^1/4 + 12

The mass of 12 packets of flour and 8 packets of salt is 19 kg. When 7 packets of flour are removed, the mass became 9.9 kg. Find the mass of each packet of salt in kilogram.​

Answers

Answer:

1.235 kg

Step-by-step explanation:

Let's assume that each packet of flour and salt weighs the same.

When we remove 7 packets of flour, we are left with 5 packets of flour and 8 packets of salt. The total number of packets is 13 and their total mass is 9.9 kg.

Therefore, the average mass of each packet is 9.9 kg ÷ 13 = 0.76 kg.

Since we know that 12 packets of flour and 8 packets of salt have a total mass of 19 kg, we can subtract the mass of the 12 packets of flour (12 × 0.76 kg = 9.12 kg) from the total mass to find the mass of the 8 packets of salt:

19 kg - 9.12 kg = 9.88 kg

Finally, we can divide the mass of the 8 packets of salt by the number of packets to find the mass of each packet:

9.88 kg ÷ 8 = 1.235 kg

Therefore, each packet of salt weighs approximately 1.235 kg.

A cube has shaded shapes on three of its faces. Here is a net of the cube. Draw in the two missing shaded shapes.​

Answers

The appropriate diagram to illustrate the cube is given.

What is a cube?

A cube is a three-dimensional shape featureing six equal square faces, with its edges and vertices being of congruent length. It counts as one of the five platonic solids distinguished by all of its features having matching sizes.

The cube can be perceived as a special instance of a rectangular parallelepiped where all six are perfectly square in shape. In order to calculate the volume of such an ordinary cube, the number of its edge needs to be multiplied by itself thrice (V = a³).

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Helppppppp anyoneeee?

Answers

Answer:

( -6, 6)

Step-by-step explanation:

Total score:
of 15 points
(Score for Question 1: of 5 points)
1. The diagram shown is two intersecting lines. The measure of 22 is 29
2
(a) What is the measure of 24? How do you know? Explain your answer in complete sentences.
(b) Suppose the measure of 3 can be represented by (3x - 8)*. What equation can be written to solve for the value of x?
(c) What is the value of x? Show all work.
Answer:
•(Score for Question 2: _ of 5 points)
2. Draw a right triangle with side lengths of 6, 8, and 10 units. For full credit, be sure to include appropriate labels and symbols where necessary. © Stride, Inc. All rights reserved. No reproduction without written consent of Stride, Inc.
Answer:
•Score for Question 3:
_ of 5 points)
3. At a park, a statue has a ring-shaped brick path around it. The outer edge of the brick path is a circle with a radius of 13 m. The inner edge of the brick path is a circle with a radius of 8 m.
Brick path
13 m
8 m
Statue
(a) Write and simplify an expression for the exact area of the brick path. Show all work.
(b) Find the approximate area of the brick path. Use 3.14 to approximate r. Show all work.

Answers

The measure of angle ∠4 is 29°, the equation is 3x = 159 and the value of x is 53

The right angle using the given lengths is attachedThe exact area is 105π square meters and the approximate area is 330 square meters

The two intersecting lines

Given that, we have

∠2 = 29°

(a)

Angles 2 and 4 are vertical angles

So, we have

∠4 = 29°

(b) and (c)

We have

∠3 = (3x - 8)°

Angles 3 and 4 are angles on a straight line

So, we have the equation to be

3x - 8 + 29 = 180

Solving for x, we have

3x = 159

Divide by 3

x = 53

This means that the equation is 3x = 159 and the value of x is 53

The right angle with the given lengths

In this section, we have the following side lengths

Lengths = 6, 8 and 10

This means that

Side lengths = 6 and 8

Hypotenuse = 10

Next, we create the right angle using the given lengths of the legs and the hypotenuse

Calculating the area of the brick path

Here, we have

R = 13

r = 8

The exact area is calculated as

A = π(R² - r²)

So, we have

A = π(13² - 8²)

Evaluate

A = 105π

For the approximate area, we have

A = 105 * 22/7

A = 330

This means that the exact area of the brick path is 105π square meters and the approximate area is 330 square meters

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Find the average rate of change of g(x)= 4x^2+3 on the interval [-4,1]

Answers

The rate of change is 4/1

The pair of polygons is similar. Find the missing side measure

Answers

The missing side measure is equal to: A. 14.

What is scale factor?

In Mathematics and Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image (original figure)

By substituting the given parameters into the formula for scale factor, we have the following;

Scale factor = Dimension of image/Dimension of pre-image

4/5.6 = 10/x

4x = 56

x = 56/4

x = 14

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Function g is a transformation of f(x) = 2x. Compare the graphs of the functions. Select all that apply.
g(x)
(Table)
0 1 2 3 4
1/2 1 2 4 8

A.They have the same y-intercept.
B.They have the same asymptote.
c. They have the same range.
D.They have the same domain.

Answers

The functions have the following characteristics:

A. They have the same y-intercept.

D. They have the same domain.

How to compare the graphs of the functions

When a function f(x) is transformed by multiplying its input by a constant "a", it results in a new function g(x) = f(ax). In this case, f(x) = 2x, so when we multiply x by a constant "a", we get g(x) = f(ax) = 2ax.

Therefore, the functions f(x) = 2x and g(x) = 2ax have the same y-intercept (0,0) and the same domain (-∞, +∞).

The range of g(x) is determined by the value of "a", which is different from the range of f(x), so option C is not correct. Asymptotes are not relevant for linear functions, so option B is not correct.

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what is the interquartile range of this data set? enter answer in box

Answers

Answer:

do it by yourself what you do while teacher is teaching

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What has been the u. S. Foreign policy approach to israel?. Please answer the question correctly and neatly. Will upvote ifcorrect.Using a Table of Integrals with the appropriate substitution, find e3r + 6e2x + 7e et - 64 peste da Answer: ] +0 It's january 1st, and jillian is starting a new savings plan. her savings account charges a $\$10$ monthly fee for any month where she does not have an ending balance of $\$1,\!000$ or higher. at the beginning of each month, she deposits $\$100$ into her account. at the end of the year, her bank awards her an interest at the rate of $1\%$, rounded to the nearest dollar, calculated on the ending balance. after three years, what is her ending balance after interest A cubic container is at rest on a rough horizontal warehouse floor. if the mass of the container is 60.6 kg and the coefficient of static friction is 0.570, determine the minimum horizontal force that must be applied to the top of the container to cause tipping. At the performance of Seussical the Musical at your local high school, there are adult tickets and student/child tickets. You're trying to remember the cost of each to tell your music extended family to come see the musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that another family paid $39 for two adults and three students. If x is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as: A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach? Vertical analysis Sharma Company reported the following operating results for two consecutive years. Year 3 Amount Percentage of Sales Sales Cost of goods sold $ 800,000 450,000 Gross margin on sales Operating expenses 350,000 100,000 Income before taxes Income taxes 250,000 50,000 Net Income $ 200,000 Year 4 Amount Percentage of Sales Sales Cost of goods sold $1,000,000 590,000 Gross margin on sales Operating expenses 410,000 120,000 Income before taxes Income taxes 290,000 60,000 Net income $ 230,000 You are required to: Express each income statement component for each of the two years as a percentage of sales. Round percentages to one decimal point. what happens to the core of a high-mass star after it runs out of hydrogen? what happens to the core of a high-mass star after it runs out of hydrogen? it shrinks and heats up. it shrinks and cools down. helium fusion begins right away. What genre, or kind, of novel is 1984?Question 2 options:realistic fictiondystopian fictionscience fictionhistorical fiction Jordan buys candy at a store that costs $1.25 per candy bar. Create a table that could represent Jordan's cost depending on the number of candy bars purchased. Create a rule that represents the relationship. 3. la mam de jordan compr 7 cajas de envases de jugo para despus del entrenamiento del equipo. cada caja tena 8 envases de jugo. despus que el equipo bebi todo el jugo que quiso, quedaron 29 envases de jugo. el equipo abri una nueva caja solo despus de beber todo el jugo de la caja anterior. cuntas cajas de jugo abri el equipo? Waterways Corporation is preparing its budget for the coming year, 2022. The first step is to plan for the first quarter of that coming year. The company has gathered information from its managers in preparation of the budgeting process. SalesUnit sales for November 2021112,000Unit sales for December 2021104,000Expected unit sales for January 2022113,000Expected unit sales for February 2022112,000Expected unit sales for March 2022116,000Expected unit sales for April 2022125,000Expected unit sales for May 2022138,000Unit selling price$12Waterways likes to keep 10% of the next months unit sales in ending inventory. All sales are on account. 85% of the Accounts Receivable are collected in the month of sale, and 15% of the Accounts Receivable are collected in the month after sale. Accounts receivable on December 31, 2021, totaled $187,200. Direct MaterialsDirect materials cost 80 cents per pound. Two pounds of direct materials are required to produce each unit. Waterways likes to keep 5% of the materials needed for the next month in its ending inventory. Raw Materials on December 31, 2021 totaled 11,290 pounds. Payment for materials is made within 15 days. 50% is paid in the month of purchase, and 50% is paid in the month after purchase. Accounts Payable on December 31, 2021, totaled $120,595. Labor requires 12 minutes per unit for completion and is paid at a rate of $9 per hour. Manufacturing OverheadIndirect materials30per labor hourIndirect labor50per labor hourUtilities50per labor hourMaintenance20per labor hourSalaries$41,000per monthDepreciation$18,000per monthProperty taxes$2,900per monthInsurance$1,200per monthMaintenance$1,300per monthSelling and AdministrativeVariable selling and administrative cost per unit is $1. 60. Advertising$15,000a monthInsurance$1,400a monthSalaries$70,000a monthDepreciation$2,800a monthOther fixed costs$3,300a monthOther InformationThe Cash balance on December 31, 2021, totaled $99,000, but management has decided it would like to maintain a cash balance of at least $700,000 beginning on January 31, 2022. Dividends are paid each month at the rate of $2. 70 per share for 4,610 shares outstanding. The company has an open line of credit with Romneys Bank. The terms of the agreement requires borrowing to be in $1,000 increments at 9% interest. Waterways borrows on the first day of the month and repays on the last day of the month. A $480,000 equipment purchase is planned for February Un globo de helio se utiliza para elevar una carga de 110 N. El peso de la cubierta del globo es de 50 N y su volumen cuando est totalmente hinchado es de 32 m3. La temperatura del aire es de 0 C, y la presin atmosfrica es de 1 atm. El globo se infla con el gas helio suficiente para que la fuerza neta sobre l y su carga sea de 30 N. Despreciar los cambios de temperatura con la altura. A. Encuentre una expresin para la densidad de un gas ideal. B. Usando la expresin anterior y la ecuacin dd= , encuentre una expresin para la variacin de la presin de la atmsfera considerando que toda la atmsfera tiene una temperatura uniforme de 0 C, y una masa molecular = 28,810-3kg/mol. C. Encuentre el volumen del globo a una presin de 1 atm capaz de levantar el globo con la una fuerza de 30 N. (aire = 1,293 kg/m3 y He = 0,179 kg/m3). D. Encuentre el nmero de moles de helio que debe contener el globo para flotar con las condiciones del inciso c). E. Explique que debe de pasar con el globo al comenzar a subir, si la temperatura gas se mantiene constante e igual a la temperatura de la atmsfera. F. Encuentre la presin y la altitud en la que el globo se encuentra totalmente hinchado. G. Explique que debe de pasar con la densidad de un gas ideal al disminuir la presin. Es posible que el globo se detenga a alguna altura o simplemente se va a escapar de la atmsfera When calcium metal is placed in water, hydrogen gas is produced. Determine the mass of H2 produced at 25 C and 0.967 atm when 525 mL of the gas is collected over water. Consider vapour pressure of water be 0.0313 atm. Find the prime factorization of each number. Record without and then with exponents. 75 A rectangular box will have a square cross section and a volume of 500 cubic centimeters. A. Sketch the box and sketch a net for the box. Assume the box will have an open top. Label the dimensions. B. Using w for the width and h for the height, find an expression in h and w for w the surface area of the box. C. Find the width and height that will make the surface area as small as possible Simple machines make work easier. You must left a move this load of Saul for your parents. It is heavy youre using to simple machines when you use this wheel barrow wight simple machine included in the wheelbarrow makes it easier to move the song from one place to another. a price a store sells its item for is the What is the range?89 86 93 86 85 87 6. How fast is each train traveling (km/h)? Round to the nearest whole number. a) Train A travels 520.4 km in 4.8 h b) Train B travels 72.1 km in 0.8 h