PLEASE HELP!!!
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A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
T. A. =

PLEASE HELP!!!Click An Item In The List Or Group Of Pictures At The Bottom Of The Problem And, Holding

Answers

Answer 1

The total area of the pyramid is (24√3 + 72) square units or 113.57 square units.

What is a hexagonal pyramid?

A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides.

Given a hexagonal pyramid,

base length = 4

slant height = 6

area of pyramid = sum of the area of the base to the lateral area

area of pyramid = A(base) + A(lateral)

Area of base = 3√3/2*(a²)

a = base length = 4

Area of base = 3√3/2*(4²)

Area of base = 24√3 square units

now lateral area or area of triangular faces,

lateral area = 6*1/2*b*h

h = height of triangle = 6

b = base of triangle = 4

lateral area = 6*1/2*4*6

lateral area = 72 square units

total area =  A(base) + A(lateral)

total area = (24√3 + 72) square units

Total area = 113.57 square units.

Hence the area of the pyramid is (24√3 + 72) square units or 113.57 square units.

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Related Questions

The area of a rectangle is 81m'n' square units. If the length of the rectangle is 9mn', how many
units wide is the rectangle?

Answers

Answer:

9

Step-by-step explanation:

9x9=81

Answer:

Step-by-step explanation:

So the rectangle is 9 units wide.

becuase given that the area of the rectangle is 81m'n' square units and the length of the rectangle is 9mn', we can set up the equation as:

81 = 9 x width

To solve for width, we can divide both sides of the equation by 9:

width = 81/9

width = 9

AJSKASJASJJAJSKJSAKSJAJKS What is x

Answers

These are similar triangles (proportional), so:

15 x 3 = 45
20 x 3 = 60
5 x 3 = x
15 = x

Answer: JAKAJAKAJKAJJAKJJAJSK 15

Which equation can be used to describe the relationship between x and y in the table below?

Answers

Answer: i think y =  x + 5

Step-by-step explanation:

Please help me!!! Sorry about small photo!​

Answers

Answer:

I think 9/10 but I am not sure

Write a ratio in words to compare a whole to a part. Then write the ratio using words. An example is needed

Answers

Answer:

A ratio in words compares a whole to a part. For example, the ratio of apples to oranges in a basket is "three to one." This can also be written as "3:1" or "3/1."

Another example: is the ratio of students to teachers in a class is "twenty to one." This can also be written as "20:1" or "20/1."

Step-by-step explanation:

Part 2 out of 2 Isabella spends $5.86 on paint brushes and paint. How many of each item does she buy? Complete the explanation how you found your answer. By using compatible numbers, you find a total of used guess and check to find that she buys items that had a total cost of $5.86. Then you paint brushes and jars of paint. Check Next

Answers

Based on the information, it can be concluded Isabella bought  2 paintbrushes and 3 jars of paint.

How many items can Isabella buy?

The average of buying a product is 0.97, which means Isabella can buy a total of 5 items (0.97 x 5 = 4.85)

Based on this different combinations of products are possible, for example, 1 paintbrush and 4 jars or 3 jars and 2 paintbrushes. However, the one that fits the final price is:

2 paintbrushes x 0.95 = $1.9

3 jars of paint x 0.99 = $2.97

$2.97 + 1.9 = $4.87

Note: This question is incomplete, here is the missing information

The paintbrushes cost $0.95 and the jar of paint cost $.099

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I need help this is due tomorrow!

Answers

Used the distributive property a(b+c)=ab+ac, the value of x is x>1/2

Solving inequality using distribution property includes change of inequality signs when multiplied or divided by negative number but, not in the equation.

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Curran:

-4(x-6)< 22

Used the distributive property a(b+c)=ab+ac

-4x+24<22

Then subtracted 24 from bot the sides

-4x<22-24

-4x< -2

Divide both sides by -4 ( inequality changes because of dividing by negative number)

x>1/2

Anjani:

-4(x-6)< 22

Divide both sides by -4

x-6> -22/4

add 6 on both sides

x> -22/4 + 6

x> -11/2 + 6

x> 1/2

Solving inequality using distribution property includes change of inequality signs when multiplied or divided by negative number but, not in the equation.

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a tank holds 4000 liters of water in which 100 grams of salt have been dissolved. saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. write initial the value problem for:

Answers

The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900[tex]e^{\frac{-t}{400}}[/tex]

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

[tex]\int p(t)dt = \int\frac{1}{400}dt[/tex][tex]\int p(t)dt = \frac{1}{400}t[/tex]

[tex]\mu=e^{\int p(t)dt}[/tex]

[tex]\mu=e^{\frac{t}{400}}[/tex]

So, S(t) = [tex]\frac{\int\mu q(t)dt+C}{\mu}[/tex]

S(t) = [tex]\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}[/tex]

S(t) = [tex]e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)[/tex]

S(t) = [tex]e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)[/tex]

S(t) = [tex]e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)[/tex]

Now solving the bracket

S(t) = 4000 + [tex]e^{\frac{-t}{400}}[/tex]C.....(1)

At S(0) = 100

100 = 4000 + [tex]e^{\frac{-0}{400}}[/tex] C

100 = 4000 + [tex]e^{0}[/tex] C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900[tex]e^{\frac{-t}{400}}[/tex]

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The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =

You know your cousin's phone number is
8675309, so you dial that number to call
him. Is person being called a function of phone
number dialed?

Function? Explain.

Answers

The person being called is a function of the phone number, as for each phone number, there is only one person associated with the number.

When does a relation represents a function?

A relation represents a function when each input value is mapped to a single output value.

The input and output variables for this problem are given as follows:

Input: phone number.Output: person.

Each phone number is mapped to a single person, meaning that the relation is in fact a function.

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100 points Factor completely and then place the factors in the proper location on the grid. 5 y2 - 2 y - 3

Answers

Answer:

is try ur hardest

Step-by-step explanation:

be sure to answer all parts. a small hole in the wing of a space shuttle requires a 21.9 cm2 patch. (a) what is the patch's area in square kilometers (km2)? enter your answer in scientific notation. (b) if the patching material costs nasa $3.91/in2, what is the cost of the patch to the nearest cent?

Answers

(a) The area of the space shuttle is:2.07x10⁻⁹km²

(b) $11.0321 is the cost of the patch.

Area of the patch of the space shuttle = 21.9cm²

a) 1 cm=0.00001 km

1cm²=(0.00001 km)²=10⁻¹⁰km²

21.9cm²=21.9x10⁻¹⁰km²=21.9x10⁻⁹km²

the patch's area =21.9x10⁻⁹km²

b) 1 cm = 0.393701 inch

1cm²=0.1550inch²

21.9cm²=21.9x0.1550inch²=3.3945inch²

The cost of patching area = 3.3945inch²

The cost of patching is are: 3.3945inch²

3.25inch²x3.3945inch²=11.0321

the cost of the patch to the nearest cent=11.0321

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I need help in this problem

Answers

The measurement of indicated angle is 20 degree.

What is congruent angle?Congruent angles are those with equal measure. As a result, all angles with equal measure will be referred to as congruent angles.All congruent angles are not supplementary angles in general. Angles that add up to 180 must be supplementary angles. So only right angles and supplementary angles are congruent because they have the same measure and add up to 180.If the corresponding sides and angles of two angles are of equal size, they are said to be congruent. Two angles that are superimposed are also congruent. That is, if they turn and/or move to coincide with each other. The diagonals of a parallelogram also produce congruent vertex angles.

Here opposite angles are congruent .

Therefore the indicated angle is 20 degree.

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Clare describes her morning at school yesterday: “ I entered the school on the first floor . Then walked up to the third floor floor and stayed for my class for an hour afterwards, I had an hour long class in the basement, and after I went back to the ground level and sat outside to eat my lunch “. Sketch a possible graph of her height from the ground floor as a function of time

Answers

The Centers for Disease Control and Prevention (CDC) states that the average height for men and women in the United States is around 5 feet, 9 inches and 5 feet, 4 inches, respectively.

What height do you think is normal?The Centers for Disease Control and Prevention (CDC) states that the average height for men and women in the United States is around 5 feet, 9 inches and 5 feet, 4 inches, respectively.14-year-old boys typically stand 162.4 cm (5 ft 3 in) tall, compared to 159.8 cm for girls (5 ft 2). At this age, you should expect a sizable range in height. Puberty, however, will vary from person to person; some may have already passed through it, while others may not.The Centers for Disease Control and Prevention (CDC) states that the average height for men and women in the United States is around 5 feet, 9 inches and 5 feet, 4 inches, respectively.        

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A shipping container is in the form of a right rectangular prism, with
dimensions of 20 ft by 8 ft by 8 ft 9 in. How many cubic feet of shipped goods
would it hold when it's a quarter full? Round your answer to the nearest tenth
if necessary.

Answers

When it's a quarter full, the shipping container holds a volume of 350 cubic feet.

How many cubic feet of shipped goods would it hold when it's a quarter full?

Bassically, we want to find one quarter (1/4) of the volume of the rectangular prims.

The dimensions are 20ft by 8ft by (8ft + 9in)

Let's rewrite that last part only using feet.

Remember that 12 in = 1ft

Then:

9 in = (9/12)ft = 0.75 ft

Then we can rewrite the dimensions as:

20ft by 8ft by 8.75 ft

The volume is the product between these numbers, and we want one fourt of the volume, so we need to find:

V = (1/4)*(20ft)*(8 ft)*(8 .75 ft) = 350ft³

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Another submarine’s descent can be represented as y=-3100xy=−3100x , where y is the elevation and x is time in hours. How long will it take this submarine to make the descent? Explain in detail how you found your answer in Part C

Answers

The time taken by the submarine to make the descent when the equation of descent is given is 0.677 hours.

Submarine's descent can be represented by the equation, y = -3100 x

where,  

y is elevation

x is time in hours

We need to determine how long it will take this submarine to travel 2,100 feet below the surface of the ocean.

Since the submarine to make the descent to the seafloor 2,100 feet below the surface

So, y = - 2100

y = - 3100x gives

- 2100 = - -3100 x

Divide both sides by -3100,

x = 2100/3100 = 0.677 hours

As a result, the submarine will need 0.677 hours to complete the descent.

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Seorang mengendarai mobil dengan kecepatan 72 km/jam, tiba-tiba melihat seorang anak kecil di tengah jalan pada jarak 50 m dimukanya. Jika mobil direm dengan perlambatan maksimum sebesar 4 m/s2 , maka terjadi peristiwa ....

Answers

If people like chicken then people like chicken a lot of black people
Love 4 m/s2 which is great to I eat chicken but I like forty have

An artist connects stained glass pieces with lead strips. In this rectangular window, the strips are cut so that FH = 28 in. Find JG. Complete the explanation

Answers

An artist connects stained glass pieces with lead strips and cut the strips so that FH = 28 in and JG = 14 in.  

Now, According to the question:

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.

Here, we have

FH ≅ GH

FH = EG = 28in

If diagonals bisect each other then, an artist connects stained glass pieces with lead strips

1/2(EG) = JG

1/2 (28) = JG

14 = JG

Hence, an artist connects stained glass pieces with lead strips and cut the strips so that FH = 28 in and JG = 14 in.  

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39:11

Heights of four-year-olds are Normally distributed, with a mean of 40 inches and a standard deviation of 3 inches. At

his four-year checkup, Marlon's height is measured as taller than 70% of boys his age. How tall is Marlon?

Find the z-table here.

SECCO

38. 4 inches

41. 6 inches

42. 5 inches

43. 8 inches

Answers

Marlon's height is 42.52 inches.

Since the heights of four-year-old's are normally distributed with a mean of 40 inches and a standard deviation of 3 inches, we can use the z-score formula to find Marlon's height.

z = (x - mean) / standard deviation

where x is Marlon's height, mean is the population mean of 40 inches, and standard deviation is the population standard deviation of 3 inches.

We know that Marlon's height is taller than 70% of boys his age, so we can find his z-score using the cumulative standard normal distribution table, which tells us the proportion of the population that is less than a given value.

A z-score of 0.84 corresponds to a cumulative probability of 0.70.

So we can substitute this value into the z-score formula:

0.84 = (x - 40) / 3

Solving for x, we get:

x = 40 + (3 * 0.84) = 40 + 2.52 = 42.52 inches

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Gloria mows her lawn every 12 days and washes
her windows every 20 days. She mowed her lawn
and washed her windows today.

How many days from now will it be until she next
mows her lawn and washes her windows on the
same day?

Answers

The number of days before she mows the lawn and washes her window on the same day is 60 days.

How many days before she mows her lawn and waters the plant on the same day?

The day she would mow the lawn and wash her window on the same day would be the least common multiple of 12 and 20.

A multiple of a number is the product of an integer and that number. A common multiple is a multiple that two or more numbers share. The least common multiple is the smallest multiple that two or more numbers share.

Multiple of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 120

Multiple of 20 = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Least common multiple = 60

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Find the lateral area for the prism.

36 in 2
54 in 2
27 in 2
81 in 2

Answers

The lateral area for the prism is equal to 54 square inches. (Correct choice: B)

How to determine the lateral area of the prism

Herein we have the case of a prism with five faces, two triangles and three rectangles. The lateral area for the prism is the sume of the areas of the three rectangular faces, whose formula is described below:

Rectangle

A = w · l

Where:

l - Length of the rectangle, in inches.w - Width, in inches.A - Area, in square inches.

Finally, we proceed to determine the lateral area of the prism:

A = 3 · (3 in) · (6 in)

A = 54 in²

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If I Got 7 "(tokens or whatever you prefer) a minute for 9 hours/ 540 minutes, how many tokens would I have

Answers

Given 1 min = a
•Then,
a = 7 tokens
540a = 7 x 540
= 3780 tokens

A net of a rectangular pyramid is shown. The rectangular base has length 25 ft and width 22 ft. The net of the pyramid has length 74.8 ft and width 70.4 ft. Find the surface area of the pyramid.

Answers

The surface area of the pyramid is 5,685 ft².

Solving for the surface area of the pyramid:

To find the surface area of the pyramid, we need to find the area of the base and the area of the four triangular faces. Since the base is a rectangle, we can find its area by multiplying the length and width:

length, l = 25 ft

width,w = 22 ft

Area = l x w

Area = 25 ft x 22 ft

Area = 550 ft².

To find the area of each triangular face, we first need to find the slant height of the pyramid, which can be found by using the Pythagorean theorem on the net dimensions. The slant height is the square root of

Net dimensions of the pyramid:

length, l = 74.8 ft

width, w = 70.4 ft

h = [tex]\sqrt{l ^{2} +w^{2} }[/tex]

h = [tex]\sqrt{(74.8^{2} + 70.4^{2} ) }[/tex]

h = 102.7 ft.

Now, we can use the formula for the area of a triangle:

Area = (1/2) x base x height,

where,

base,b = the length of the rectangular base (25 ft)

height = the slant height (102.7  ft).

So, the area of each triangular face is:

A = (1/2) x 25 ft x 102.7  ft

A = 1283.75 ft².

Since there are four triangular faces, the total area of all the triangular faces is:

A= 4 x 1283.75 ft²

A = 5,135 ft².

To find the surface area of the pyramid, we add the area of the base to the area of the triangular faces:

SA= 550 ft² +  5,135 ft² = 5,685 ft².

Hence, the surface area of the pyramid is 5,685 ft².

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– 0.2× – 5÷( – 1– – 0.5)

Answers

Answer:

Step-by-step explanation:

35

The answer is 35.
Have a Great day :)

On March 14 at 1:59, people celebrate Pi Day by eating pie. Why do you
think people celebrate on thi day at thi time?

Answers

People celebrate Pi Day on March 14th at 1:59 because this date and time is an easy way to remember the mathematical constant pi (π).

Pi, which is represented by the Greek letter π, is an irrational number that starts with 3.14 and continues for an infinite amount of digits. The numerical value of pi is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.1415926535897932384626433832795. The date and time of March 14th, 1:59 is a way to represent the first four digits of pi (3.14). People celebrate Pi Day by eating pie, making pi-related crafts, and sharing facts about pi. People celebrate Pi Day on March 14th at 1:59 because this date and time is an easy way to remember the mathematical constant pi (π).

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how to find

127.98+35.261
(for my cuz)

Answers

The simplification of the given expression after addition would be = 163.241.

What is addition?

Addition is the combination of two or more given values and it's one of the major arithmetic operations in mathematics.

The given expression is a s follows;

127.98+35.261 = 163.241

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What is AC?

A. 25‾√
B. 35‾√
C. 6
D. 9

Answers

The side length of AC is 6 units for the shown triangle. The correct answer would be an option (C).

What are Similar Triangles?

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

The right triangle is given in the question, as shown.

AD = 4 cm and BD = 5

In ΔACD and ΔABC

∠ACD = ∠ABC

∠ACD = ∠BAC = 90°

∠CAD = ∠ACD (remaining)

So ΔACD and ΔABC are similar

Hence

AD / AC = AC/ BC

Apply the cross-multiplication operation, and we get

AC² = AD × BC

AC² = 4 × 9

AC² = 36

AC = 6 cm

So, the side length of AC is 6 units.

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Which of the following triangle types is impossible to draw?
a scalene, right-angled triangle
an isosceles, acute-angled triangle
an isosceles, obtuse-angled triangle
an equilateral, right-angled triangle

Answers

The triangle types is impossible to draw is

an isosceles, obtuse-angled trianglean equilateral, right-angled triangleWhat is Right Angled Triangle?

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle.

Given:

First, a scalene with right-angled triangle is possible to make.

Now, an isosceles with acute-angled triangle is possible to make such triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement.

Now, an isosceles with obtuse-angled triangle is not possible to make because if two angles are greater than 90 then sum of angles exceed 180.

and, an equilateral with right-angled triangle is not possible to make because in Equilateral triangle are angles are of equal measurement 60.

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An acute angle, θ, is in a right triangle such that sin of theta is equal to 2/5. What is the value of cot θ?

Answers

Answer:

cotθ=√21/2

Step-by-step explanation:

we have,

sinθ= 2/5= perpendicular/hypotenuse

here,

perpendicular=2

hypotenuse = 5

Now using Pythagorean theorem,

h^2 = p^2+ b^2

(5)^2 = 2^2 +b^2

b= √21

so,

cotθ= base/perpendicular = √21 /2

Hope you like the explanation.

If the quotient of three times a number and five is increased by
four, the result is no more than 34.

Answers

Answer: We can start by using algebra to represent the given information. Let's call the number we're trying to find "x".

We know that:

quotient = (3x)/5

quotient + 4 <= 34

We can simplify the first equation:

(3x)/5 + 4 <= 34

We can then solve this inequality for x:

(3x)/5 + 4 <= 34

3x/5 <= 30

3x <= 150

x <= 50

So the quotient of three times a number and five is no more than 34 if that number is less than or equal to 50.

Step-by-step explanation:

(2x 2 −6x−5)+(−9x 2 +5x−4)

Answers

Answer: -15x - 9

Step-by-step explanation:

(2x ×2 −6x−5)+(−9x ×2 +5x−4)

(4x-6x-5)+(-18x+5x-4)

(-2x-5)+(-13x-4)

-2x-5-13x-4

-15x -

The value of the given equation is −7x2−x−9.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The equation (2x 2 −6x−5)+(−9x 2 +5x−4)

Now,

We need to add the two polynomials by combining like terms. Like terms are terms that have the same variable and exponent. For example, 2x2 and −9x2 are like terms because they both have x2

To add like terms, we just add their coefficients. For example, 2x2+(−9x2)=(−7x2)

We can apply this rule to each pair of like terms in the problem and get:

(2x2−6x−5)+(−9x2+5x−4)

=(2x2+(−9x2))+(−6x+5x)+(−5+(−4))

=(−7x2)+(−x)+(−9)

=−7x2−x−9

Therefore, by algebra the answer will be −7x2−x−9.

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Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train is 3mph greater than the speed of the eastbound train. After 4 hours, they are 648 miles apart. Find the rate of each train. Assume that the trains travel in a straight line in directly opposite directions. consider the energy diagram for a solution formed between molecules a and b. what can be said about this solution? Colleen and Nigel have bedrooms with the same perimeter. Nigel's bedroom has a width 34 times the width of Colleen's bedroom.What is the length, l, of Nigel's bedroom?Multiple choice questions.A)9 ftB)10 ftC)11 ftD)12 ft please helpppExamine the two news headlines from real observational studies and determine at least one plausible lurking variable that could explain the cause and effect. Remember, do not argue about the link expressed in the headline, but rather accept the association as true. Your task is to determine the other variable(s) that could be the actual cause(s). b. Is Gluten the Culprit in Our Fight Against Obesity? can you think of other images in our visual culture the meaning of which we too easily accept without examining? a good place to look might be the apps on your phone. Filomina is preparing to sell her home and thinks she should test for radon. Which of the following options about radon testing is true?O Filomina can hire a professional to perform the test, or she can buy a test kit and submit it to a lab for analysis.O Filomina can purchase a home test kit and interpret the results herself.O Filomina is required to test for radon and perform any necessary mitigation before placing her property on the market.O Filomina must hire a certified testing company to perform the radon test and interpret the results. a circle is circumscribes around an isosceles triangle whose two congruent angles have degree measure x when the price of a gallon of gasoline increases, people look for ways to reduce their consumption by combining several errands, commuting by carpool or mass transit, or taking weekend or vacation trips closer to home. economists refer to this as Consider the composition. information from the SDS. What is a possible name of this compound? A. Glycine B. Glycogen C. Glycerol A 32 flat screen television measures 32 inches across its diagonal. The diagonal makes a 35 degrees angle with the bottom of the television. What equation can be used to solve for the height,H, of the television screen? which of the following is a best practice for ensuring treatment fidelity in a behavioral intervention Two stores are advertising specials on apples.Store A 8 apples for $4.40 Store B 12 apples for $5.76Apples are sold individually.a) What is the cost for 1 apple at Store A?b) What is the cost of 1 apple at Store B?C) How much less would 30 apples cost at Store B than at Store A? You and a coworker are presenting a status report to a client. The project is a little behind schedule and may need to be adjusted. You have prepared a detailed presentation updating the client on the current state of research and development for the project.While you are meeting with the client, your coworker frequently checks his email, shuffles through papers, and interrupts you. The client is getting noticeably agitated with your coworker. The client seems worried about the project and unable to get a clear idea of why it is behind schedule. You fear that the client will begin to question your teams credibility.You decide to take control of the meeting. You ask the client to present all his questions and concerns. You indicate that he will not be interrupted. Your coworker takes the cue and begins taking copious notes, trying to record every word that the client says.After expressing his concerns, the client then asks for your response. To calm the clients fears and to get the meeting back on track, you attempt to get to the core of his concerns. Unfortunately, your coworker doesnt really understand what the client has said and gets hung up on inconsequential details.During the meeting, you know that your coworker is not listening well. Which of the following bad listening habits does he have? Check all that apply.Allowing disruptionsOverlisteningFaking attentionStereotypingDismissing subjects as uninterestingFailing to observe nonverbal aids the subjects in this dataset answered a call for volunteers to participate in this study. assuming every subject who volunteered has a recorded response for every variable, what type of bias could possible result from this sampling design? why is the game of go so challenging for computers to play, and how did machine learning play a role in defeating a human player? this territory was purchase for $20 million and annexed by the u.s. instead of being granted independence Read the excerpt from the article "Art and Entertainment in the 1930s and 1940s" from the Library of Congress. Select three sentences from the highlighted text that mention a common form of escapism that people enjoyed during the Great Depression. A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 15 ft by 5 ft by 10 ft. If the container is entirely full and, on average, its contents weigh 0.09 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary. Statement of cost of goods manufactured; cost of goods soldThe following data are taken from the general ledger and other records of Valley View Manufacturing Co. on January 31, the end of the first month of operations in the current fiscal year:Sales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $75,000Materials inventory (January 1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25,000Work in process inventory (January 1) . . . . . . . . . . . . . . . . . . . . . . . 24,000Finished goods inventory (January 1) . . . . . . . . . . . . . . . . . . . . . . . . 32,000Materials purchased. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21,000Direct labor cost. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18,000Factory overhead (including $1,000 of indirect materials used and $3,000 of indirect labor cost) 12,000Selling and administrative expenses . . . . . . . . . . . . . . . . . . . . . . . . . 10,000Inventories at January 31:Materials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22,000Work in process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20,000Finished goods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30,000a. Prepare a statement of cost of goods manufactured.b. Prepare the cost of goods sold section of the income statement. If an asteroid created enough dust to block out the Sun, what would be the effect on green plants, as well as other life on Earth? Why?