A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Answers

Answer 1

Answer:

2 pi •10•210

Step-by-step explanation:

Khan academy


Related Questions

The phone company offers to long-distance plans the first charges a flat value of five dollars per month plus $.99 each minute used and the second charge is $10 a month plus $.79 for each minute used if X represents the number of minutes use each month which system each of equations represent the amount of money why are you spin

Answers

Answer:

The systems of equation for the amount spent are as follows

[tex]Y= 0.99x+5[/tex]

[tex]Y= 0.79x+10[/tex]

Step-by-step explanation:

In this problem we are expect to give a model or an equation that represents the amount of money spent per month given a fix subscription amount and a variable fee which is based on extra minutes spent.

let Y represent the amount of money spent in total for the month

The first case:

Subscription =$5

charges per minutes = $0.99

therefore the amount spent can be modeled as

[tex]Y= 0.99x+5[/tex]

The second case:

Subscription =$10

charges per minutes = $0.79

therefore the amount spent can be modeled as

[tex]Y= 0.79x+10[/tex]

The common difference of an ap is -2 find its sum of first term is hundred and last term is minus 10

Answers

Answer:

The sum of the arithmetic progression is 2520

Step-by-step explanation:

The sum, Sₙ, of an arithmetic progression, AP, is given as follows;

[tex]S_{n}=\dfrac{n}{2}\cdot \left (2\cdot a+\left (n-1 \right )\cdot d \right )[/tex]

Where;

n = The nth term of the progression

a = The first term = 100

d = The common difference = -2

Given that the last term = -10, we have;

-10 = 100 + (n - 1) ×(-2)

n = (-10 - 100)/(-2) + 1 = 56

Therefore, the sum of the 56 terms of the arithmetic progression is [tex]S_{56}=\dfrac{56}{2}\cdot \left (2\cdot 100+\left (56-1 \right )\cdot (-2) \right )[/tex]

Which gives;

[tex]S_{56}={28}\cdot \left (200-\left 110 \right ) = 2520[/tex]

Look at the figure below: Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE = EC and ED = BE Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? HELPPPPP MEEEEEE WILL GIVE BRAIN POINTS

Answers

Answer:

AEB and  CED

Step-by-step explanation:

Given the two pairs of congruent sides, you now use the vertical angles as the pair of congruent included angles, <AEB and <DEC.

The congruent triangles are:

AEB and  CED

Answer:

B-   Triangle AEB and triangle CED

Step-by-step explanation:

I took the test and it was correct

A candy store sells only one type of candy, which comes in different colors. Each color is a different flavor, and some flavors cost more than others. Specifically, 1 red piece costs the same as 3 blue pieces, 2 orange pieces cost the same as 5 green pieces, and 2 blue pieces cost the same as 10 green pieces. If 1 orange piece costs 13 cents, how much will 8 red pieces cost?

Answers

Answer:

$6.24

Step-by-step explanation:

1 orange=%0.13

2 orange=5 green=$0.26

10 green=2 blue= $0.52

.52+.26=.78

1 red=3 blue=$0.78

0.78*8=6.24

What is the perimeter (in centimeters) of a rectangle with length 4.5 cm and width 8.2 cm

Answers

Answer:

25.4 cm

Step-by-step explanation:

will make it simple and short

2*b + 2*h

2*4.5 + 2*8.2 = 25.4 cm

Hey there! I'm happy to help!

The perimeter is the distance around the rectangle.

In a rectangle, there are two pairs of opposite sides, and those opposite sides are equal. They are known as the length and the width.

In a rectangle, you have two sides that have the same length and two that have the same width. If you add these all up, you get the perimeter.

If our length is L and our width is W, we can write this equation.

P=2L+2W

So, we can plug in our lengths and widths to find the perimeter!

P=2(4.5)+2(8.2)

P=9+16.4

P=25.4

Therefore, our perimeter is 25.4 cm.

Have a wonderful day! Feel free to message me if you have any questions! :D

how many are 4 raised to 5 ???​

Answers

Answer:

Step-by-step explanation:

4^5 is equivalent to 4^2*4*3, which, in turn, is equivalent to:

16*64 = 1024.

Also:  

8*128 = 1024, and

4*256 = 1024, and so on.

What is the y-intercept of the line that passes through the points (2, 5) and (3, 6)?

Answers

Answer:

(0, 3)

Step-by-step explanation:

First, find the slope using rise/run (y2 - y1) / (x2 - x1)

Plug in the points:

(6 - 5) / (3 - 2)

1/1 = 1

Now, we can plug in the slope and a point into the equation y = mx + b to find b (y-intercept)

y = 1x + b

5 = (1)(2) + b

5 = 2 + b

3 = b

= (0, 3)

Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-1673) e) 490 x 98

Answers

Step-by-step explanation:

a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

b) 400 ÷ { 40 – (-2) -3 – ( -1)}

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

c) 40 x -23 + 40 x -17

(40 x 23) + (40 x -17)

920 + (-680)

= 240

d) 1673 x 99 – (-1673)

(1673 x 99) + 1673

1673 x 100

= 167300

e) 490 x 98 = 48020

Hope this helps ^-^

Find all complex numbers $z$ such that $z^4 = -4.$

Note: All solutions should be expressed in the form $a+bi$, where $a$ and $b$ are real numbers.

Answers

Converting -4 to polar form gives [tex]-4=4\exp(i\pi)[/tex].

Then the 4th roots of -4 would be the numbers

[tex]4^{1/4}\exp\left(i\dfrac{\pi+2k\pi}4\right)[/tex]

where k is taken from {0, 1, 2, 3}.

So we have

[tex]z_1=4^{1/4}\exp\left(\dfrac{i\pi}4\right)=\sqrt2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)=1+i[/tex]

[tex]z_2=\sqrt2\left(\cos\dfrac{3\pi}4+i\sin\dfrac{3\pi}4\right)=-1+i[/tex]

[tex]z_3=\sqrt2\left(\cos\dfrac{5\pi}4+i\sin\dfrac{5\pi}4\right)=-1-i[/tex]

[tex]z_4=\sqrt2\left(\cos\dfrac{7\pi}4+i\sin\dfrac{7\pi}4\right)=1-i[/tex]

how to do this question plz answer me step by step plzz plz ​

Answers

Answer:

2 Pi

Step-by-step explanation:

Notice that the shape is made of:

● 1 square with a side of 1 meter length

● 4 half-circles wich means 2 cicles with a diameter lf 1 meter.

■■■■■■■■■■■■■■■■■■■■■■■■■■

The square is inside so it isn't necessary to calculate the perimeter.

The perimeter of a circle is:

P' = d × Pi

We have 4 half-squares wich means two circles

So the total perimeter is:

● P = 2×P'

● P = 2 × d × Pi

● P = 2 × 1 × Pi

● P = 2Pi

The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.

Answers

Answer:

The upper bound is 97.5 cm

Step-by-step explanation:

The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound  is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation

Where the number is given to the nearest 100, add and subtract  half of hundred to obtain the upper bound and lower bound respectively

For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;

Upper bound = 95 cm + 5/2 cm = 97.5 cm

The upper bound = 97.5 cm.

___H2 + ___Br2 → ___HBr

Answers

Answer:

H2+Br2 HBrH2+Br2. 2HBr

An isosceles triangle has a side that measures 12 inches. What is the length of the hypotenuse

Answers

Answer:

[tex] \boxed{12 \sqrt{2} }[/tex]

Step-by-step explanation:

Isosceles triangle are those triangle which have two equal sides.

Perpendicular ( p ) = 12 inches

Base ( b ) = 12 inches

Hypotenuse ( h ) = ?

Now,Using Pythagoras theorem,

[tex] \mathsf{ {h}^{2} = {p}^{2} + {b}^{2} }[/tex]

Plug the values

[tex] \mathsf{ {h}^{2} = {12}^{2} + {12}^{2} }[/tex]

Evaluate the power

[tex] \mathsf{ {h}^{2} = 144 + 144}[/tex]

Calculate the sum

[tex] \mathsf{ {h}^{2} = 288}[/tex]

Squaring on both sides

[tex] \mathsf{h = 12 \sqrt{2} }[/tex]

Hope I helped!

Best regards!

55.5% repeating as a decimal​

Answers

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

The solution is, as a decimal​ of 55.5% is, 0.555

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

To learn more on division click:

brainly.com/question/21416852

#SPJ2

the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.

Answers

Answer:

215483 cm³

Step-by-step explanation:

Formula for volume of a cylinder = πr² · h

radius = 1/2diameter

1. Set up the equation

(3.14)(15²)(305)

2. Solve

215482.5

rounded to the nearest cubic centimeter = 215483 cm³

Answer:

215483 cm³

Step-by-step explanation:

credit goes to person up top

What is the equation for the line of symmetry in this figure?

Answers

Answer:

y=3

Step-by-step explanation:

what is an equivalent expression for 3a + 5 ?​

Answers

Answer:

Equivalent  expression:

6a + 10

or

9a + 15

Musah stands at the center of a rectangular field.He takes 50 steps north,then 25 steps West and finally 50 on a bearing of 315°. Sketch Musah's movement How far west is Musah's final point from the center? How far north is Musah's final point from the center?

Answers

Answer:

The distance of  Musah's final point from the center in the west direction is   60.355 steps

The distance of  Musah's final point from the center in the north direction is   85.355 steps

Step-by-step explanation:

Given that :

Musah stands at the center of a rectangular field.

He takes 50 steps north, then 25 steps West and finally 50 on a bearing of 315°.

The sketch for Musah's movement is seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far west;

Then d = BC + CD cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex]  )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

How far north is Musah's final point from the center?

Let d₁ be the distance of how far North;

Then d₁ = AB + CD sin  θ

d₁ = 50 + 50  sin  45°

d₁ = 50 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex]  )

d₁ = 50 + 50( 0.7071)

d₁ = 50 + 35.355

d₁ = 85.355  steps

Which graph has a slope of 4/5?

Answers

Answer:

[tex]\boxed{ Graph. B}[/tex]

Step-by-step explanation:

Hey there!

Well slope is aka rise/run,

so starting at the red dot and rising 4 units an ruing to the right 5 units,

graph b is the correct answer.

Hope this helps :)

Graph B has a slope of 4/5.

How is a slope calculated?

Slope is calculated with the aid of finding the ratio of the "vertical change" to the "horizontal alternate" among (any) distinct factors on a line.

What is a slope in a straight line?

Typically, the slope of a line offers the measure of its steepness and path. The slope of an instant line among two factors says (x1,y1) and (x2,y2) may be without problems decided by finding the difference between the coordinates of the points. The slope is commonly represented by using the letter 'm'.

Learn more about slope here https://brainly.com/question/1884491

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Compare the functions shown below: f(x) cosine graph with points at 0, negative 1 and pi over 2, 1 and pi, 3 and 3 pi over 2, 1 and 2 pi, negative 1 g(x) x y −6 −11 −5 −6 −4 −3 −3 −2 −2 −3 −1 −6 0 −11 h(x) = 2 cos x + 1 Which function has the greatest maximum y-value?

Answers

Answer:

  f(x) and h(x) have the same maximum value: 3

Step-by-step explanation:

The maximum value of f(x) is 3 at (π, 3).

The maximum value of g(x) is -2 at (-3, -2).

The maximum value of h(x) is 3 at (0, 3).

Both f(x) and h(x) have the same (greatest) maximum value.

Clarissa and Shawna, working together, can paint the exterior of a house in 6 days. Clarissa by herself can complete this in 5 days less than Shawna. how long will it take Clarissa to complete the job by herself?

Answers

Answer:

Clarissa will take 10 hours by herself

Step-by-step explanation:

Let s = time for shawna

s-5 = time for clarissa

The formula for determining the time is

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/s + 1/(s-5) = 1/6

Multiply each side by 6s(s-5) to clear the fractions

6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)

Distribute

6(s-5) + 6s = s(s-5)

Distribute

6s -30 +6s = s^2 -5s

Combine like terms

12s -30 = s^2 -5s

Move everything to the right

0 = s^2 -5s -12s +30

0 = s^2 -17s +30

Factor

0 = ( s-15) (s-2)

Using the zero product property

s-15 =0   s-2 =0

s =15     s=2 ( This is not a reasonable answer since it is less than the time together)

s=15

s-5 = 10

Clarissa will take 10 hours by herself

How do I solve this question 5x - [7 - (2x - 1)] = 3(x - 5) + 4(x + 3)

Answers

Answer:

x = 6/4, or x = 3/2, OR x = 1 1/2

Step-by-step explanation:

5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)

Pick one side to work on first, I will chose the right side,

Distribute on the right side.

5x - [7 - (2x-1)] = 3x - 15 + 4x + 3

Now, add like terms on the right side.

5x - [7 - (2x-1)] = 7x - 12

Now, to isolate 7 - (2x -1), subtract 5x from both sides.

so now,

-7 - (2x-1) = 2x - 12

Now, we can add 7 to both sides of the equation to isolate -(2x-1)

we add instead of subtract because the seven is a negative.

-(2x-1) = 2x - 5

Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.

-2x + 1 = 2x - 5

Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.

6 = 4x

Divide both sides by 4

x = 6/4, or x = 3/2, OR x = 1 1/2

select all options that represents the side lengths of a 30 60 90 triangle.

Answers

Answer:

Options (B) and (D)

Step-by-step explanation:

If a triangle is a 30° - 60° - 90° triangle, measure of the angle between the leg and hypotenuse will be either 60° or 90°.

Therefore, by applying Cosine rule in the given options.

c² = a² + b² - 2abCosC

All the given options are the right triangles.

[Since they follow the Pythagoras theorem]

Option (A),

Angle between the sides having measures 3 and 5 units,

4² = 3² + 5² - 2(3)(5)CosC

16 = 9 + 25 - 30.CosC

30.CosC = 18

[tex]C=\text{Cos}^{-1}(\frac{5}{6} )[/tex]

C = 33.56°

Therefore, this triangle is not a 30-60-90 triangle.

Option (B),

Angle between the sides measuring 5 and 10 units,

[tex](5\sqrt{3})^2=5^2+10^2-2(5)(10)\text{CosC}[/tex]

75 = 125 - 100(CosC)

Cos(C) = 0.5

C = 60°

Therefore, other angles of the triangle will be 30° and 90°.

And it's a 30°-60°-90° triangle.

Option (C),

10, 10, 10√2

It's a right triangle and the measure of legs are equal.

Since legs of this sides are equal, angles opposite to these equal sides will be equal.

Sum of all interior angles = 180°

m∠A + m∠B + m∠C = 180°

If m∠B = 90°

m∠A + 90° + m∠C = 180°

2(m∠A) = 90°

m∠A = 45°

Therefore, the given sides make a 45°- 45°- 90° triangle.

Option (D).

Angle between the sides 3 and 6,

(3√3)² = 3² + 6² -2(3)(6)CosC

27 = 9 + 36 - 36.(CosC)

CosC = [tex]\frac{18}{36}[/tex]

C = [tex]\text{Cos}^{-1}(\frac{1}{2})[/tex]

C = 60°

Therefore,

These sides make a 30°- 60°- 90° triangle.

Options (B) and (D) are the 30°- 60°- 90° triangle.  

PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if c=a+b.

Answers

Answer:

i. a = 7

ii. b = 7

iii. c = 14

Step-by-step explanation:

1. In a parallelogram, the pair of opposite sides are equal, thus;

6a + 10 = 8a -4

4 + 10 = 8a - 6a

14 = 2a

Divide both sides by 2,

a = 7

2. <SPQ + <PSR = [tex]180^{0}[/tex]

(18b - 11) + (9b + 2) =  [tex]180^{0}[/tex]

18b + 9b + 2 -11 =  [tex]180^{0}[/tex]

27b -9 =  [tex]180^{0}[/tex]

27b =  [tex]180^{0}[/tex] + [tex]9^{0}[/tex]

27b = [tex]189^{0}[/tex]

Divide both sides by 27,

b = 7

Therefore,

c = a + b

  = 7 + 7

  = 14

c = 14

what is the equation, in factored form, of the quadratic functions shown in the graph?

Answers

Answer:

(x+3)(x-2)

Step-by-step explanation:

We can immediately see that there are roots at x = -3, and x = 2.

Because the website gives us that this in the form of (x + _) (x - _), our anwser is (x+3)(x-2)

oops I just saw your comment. Too late i guess...

Answer:

f(x)=1(x+3)(x-2)

Step-by-step explanation:

A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following points could be a vertex of the triangle?

Answers

Answer:

We know that our triangle has one side along the line:

y = (1/4)*x

And other side along the line:

y = -(1/4)*x.

Now, we want to find the vertex.

And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.

Then we have:

y = (1/4)*x = -(1/4)*x

x = -x

The only solution to that equation is x = 0.

now we evaluate our lines in x = 0 and get:

y = (1/4)*0 = 0

y = -(1/4)*0 = 0

Then the lines intersect in the point (0, 0)

Then the vertex must be in the point (0, 0)

3. A ship sails 35 km on a bearing of 042º.
a) How far north has it travelled?
b) How far east has it travelled?
4 A ship sails 200 km on a bearing of 243.7°
a) How far south has it travelled?
b) How far west has it travelled?




3 and 4 please

Answers

Answer:

3(a). The ship travelled in north is 26.0 km.

(b). The ship travelled in east is 23.4 km.

4(a). The ship travelled in south is -88.61 km.

(b). The ship travelled in west is -179.29 km.

Step-by-step explanation:

Given that,

(3). Distance = 35 km

Angle = 42°

Let distance in north is y km.

We need to calculate the distance

Using vertical component

[tex]y = d\cos\theta[/tex]

Put the value into the formula

[tex]y = 35\cos42[/tex]

[tex]y=26.0\ km[/tex]

Let distance in east is x  km

We need to calculate the distance

Using horizontal component

[tex]x =d\sin\theta[/tex]

Put the value into the formula

[tex]x = 35\sin42[/tex]

[tex]x=23.4\ km[/tex]

(4). A ship sails 200 km on a bearing of 243.7°

Let distance in south is y km.

We need to calculate the distance

Using vertical component

[tex]y = d\cos\theta[/tex]

Put the value into the formula

[tex]y = 200\cos243.7[/tex]

[tex]y=-88.61\ km[/tex]

Let distance in west is x  km

We need to calculate the distance

Using horizontal component

[tex]x =d\sin\theta[/tex]

Put the value into the formula

[tex]x = 200\sin243.7[/tex]

[tex]x=-179.29\ km[/tex]

Hence, 3(a). The ship travelled in north is 26.0 km.

(b). The ship travelled in east is 23.4 km.

4(a). The ship travelled in south is -88.61 km.

(b). The ship travelled in west is -179.29 km.

Find the approximate volume of this prism (Image down below)

Answers

Answer:

about 62m^3

Step-by-step explanation:

Simplify 3 x times the fraction 1 over x to the power of negative 4 times x to the power of negative 3.

Answers

Answer:

3x^2

Step-by-step explanation:

Given:

(3x) * {(1/x)^-4 }* (x^-3)

=(3x) * {1 ÷ (1/x)^4} * {1/x^3}

=(3x) * {1(x/1)^4} * (1/x^3)

=(3x) * (x^4) * (1/x^3)

=(3x) (x^4) (1) / x^3

Multiply the denominators

=3x^5 / x^3

Can also be written as

=3*x*x*x*x*x / x*x*x

Divide the x

= 3*x*x / 1

=3x^2

A random number generator chooses 2 numbers between 1 and 5. This table demonstrates all possible outcomes. 1 2 3 4 5 1, 1 1, 2 1, 3 1, 4 1, 5 2 2, 1 2, 2 2, 3 2, 4 2, 5 3 3, 1 3, 2 3, 3 3, 4 3, 5 4 4, 1 4, 2 4, 3 4, 4 4, 5 5 5, 1 5, 2 5, 3 5, 4 5, 5 What is the probability that the computer will pick two 5s?

Answers

Answer as a fraction = 1/25

Answer in decimal form = 0.04

Answer in percent form = 4%

Explanation:

There are 5*5 = 25 different outcomes, of which only one outcome has 5,5. The probability of picking two 5s is 1/25 = 0.04 = 4%

Answer:

4%

Step-by-step explanation:

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the religion of Persia If 2^x =30 find 2^(x+3) A)8 B)5 C)240 D)200 E)250 (Good Luck! Plz solve fast!) help plz I think the first one is correct but I'm not sure ChemistryWhat is a chemical reaction Wingate Company, a wholesale distributor of electronic equipment, has been experiencing losses for some time, as shown by its most recent monthly contribution format income statement: Sales $ 1,546,000 Variable expenses 573,480 Contribution margin 972,520 Fixed expenses 1,070,000 Net operating income (loss) $ (97,480) In an effort to resolve the problem, the company would like to prepare an income statement segmented by division. Accordingly, the Accounting Department has developed the following information: Division East Central West Sales $ 416,000 $ 630,000 $ 500,000 Variable expenses as a percentage of sales 48 % 26 % 42 % Traceable fixed expenses $ 282,000 $ 324,000 $ 206,000 Required: 1. Prepare a contribution format income statement segmented by divisions. 2-a. The Marketing Department has proposed increasing the West Division's monthly advertising by $28,000 based on the belief that it would increase that division's sales by 13%. Assuming these estimates are accurate, how much would the company's net operating income increase (decrease) if the proposal is implemented? 2-b. Would you recommend the increased advertising? The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of 0.4. See the figure below. Suppose that the height of the candle after 11 hours is 16.6 centimeters. What was the height of the candle after 6 hours? "If a beam of monochromatic light is passed though a slit of width 15 m and the second order dark fringe of the diffraction pattern is at an angle of 5.2o from the central axis, what is the wavelength of the light?" If Ac={vt2/r) and vt=2 and r=2 find Aca. 4b. 2C. 1D. 8 Which device does Baldwin use when he says,"This fight begins, however, in the heart"?similefigurative languageANSWER: Figurative Language Indica si lo que dice el texto es cierto o falso.El objetivo de Cristbal Coln al salir del Puerto de Palos es llegar a la Repblica Dominicana. What is the value of a company's current assets if the company has \$5500$5500dollar sign, 5500 in inventory, \$1500$1500dollar sign, 1500 in prepaid expenses, \$8000$8000dollar sign, 8000 in current liabilities and a quick ratio of 0.70.70, point, 7 Read the following short passage and determine if it contains a fragmentBingham believed that these ruins were the Inca empire's last capital. Known as the lost city of the Incas."O A. No, this passage does not contain any fragments.O B. Yes, the fragment is "Bingham believed that these ruins were the Incaempire's last capital."OC. Yes, the fragment is Known as the lost city of the Incas.*** Nathan, a tutor, buys 5 calculators for $7.50 each at a store, planning to provide one to each of his clients. However, the next day, he discovers that the same calculators has gone on sale for $5.00 and also discovers that he will only have three tutoring clients instead of five. He returns the five calculators and purchases three calculators at the new sale price. He uses the following expression to determine the amount he should receive back from the store. (5 x $7.50) - (3 x $5.00) Which of the following expressions could Nathan have used. 5 ($7.50 - $5.00). $7.50 - $5.00. (5 x $7.50) - $5.00. (5 x $7.50) - $5.00. 3 ($7.50 - $5.00) +2 x $7.50 distinguish between Urban and rural poverty Why does a dog circle its bed before lying down? The "family resources" element of Family stress theory suggests that family-based resources such as cohesion, adaptability, and problem-solving may be important factors in whether families survive or deteriorate when stressors are introduced. Group of answer choices A movie theater is having a special. If a group of four pays $7.25 each for tickets, each person can get popcorn and a drink for $5.75. Use the expression 4(5.75 + 7.25) to find the total cost for 4 friends. Select the function completion that satisfies this docstring description: def convert_to_string(nums): """ (list of number) -> NoneType Replace each item in nums with its string equivalent. >>> nums 7. Diminishing returns to an input set in: A) when all inputs are fixed. B) when some inputs are fixed and some are variable. C) when all inputs are variable. D) only in the long run. What launched the era of modern science in the 17th century?