*PLEASE ANSWER TY* What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters? (Use 3.14)

*PLEASE ANSWER TY* What Is The Volume Of A Hemisphere-shaped Coffee If The Width Of The Coffee Cup Is

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

By the property of the liquids,

"Liquids have a fixed volume but don't have the fixed shape. If we put a liquid in a bottle or a cup it will acquire the shape of a bottle or cup."

In our question, coffee when kept in a cup will take the shape of the cup which is a hemisphere.

Volume of a hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]

Where 'r' = radius of the hemisphere

Radius of the cup = [tex]\frac{16.51}{2}[/tex] cm

Volume of the hemisphere = [tex]\frac{2}{3}\pi (\frac{16.51}{2} )^{3}[/tex]

                                             = [tex]\frac{2}{3}\pi (8.255)^3[/tex]

                                             = 1177.5778

                                             ≈ 1177.58 cm³

Therefore, Option (1) will be the answer.  


Related Questions

which of the following are exterior angles ? check all that apply

Answers

Answer: A, D,E

Step-by-step explanation:

The exterior angles are the angles that are out of the figure.In this case angle, 4,3 and 2 are all exterior angles.

there 5 panakes in a stack.Elise make 40 pankcankes. How many stacks does Elise make?

Answers

Answer:

There are 8 stacks

Step-by-step explanation:

Take the number of pancakes and divide by the number in a stack to determine the number of stacks

40/5 = 8

There are 8 stacks

Question 2 Multiple Choice Worth 5 points)
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
O2 units
0 6 units
O V12 units
O V20 units

Answers

Answer:

√20 units.

Step-by-step explanation:

Please see attached photo for diagram.

The other leg of the triangle is x as shown in the attached photo.

Using the pythagoras theory, we can obtain the the value of x as follow:

x² = 4² + 2²

x² = 16 + 4

x² = 20

Take the square root of both side.

x = √20 units

Therefore, the value of the other leg x of the triangle is √20 units

Answer:

[tex]\sqrt{} 20[/tex] is your answer hope this helps

Step-by-step explanation:

-10(x+5) with steps canvas

Answers

Answer:

[tex]\Large \boxed{-10x-50}[/tex]

Step-by-step explanation:

[tex]-10(x+5)[/tex]

Distribute -10 to the terms in the brackets.

[tex]-10(x)-10(5)[/tex]

[tex]-10x-50[/tex]

Answer: -10x - 50

Step-by-step explanation:

Distribute -10 to both terms.

-10 * x = -10x

-10 * 5 = -50

The equation now looks like this:

-10x - 50

You have nothing to simplify, so you're finished.

Hope this helps!

What else would need to be congruent to show that AABC = APQR by SSS?
Giver
AC =PR
BC = QR

A AC = PQ
B. AB = PQ
C. ZAZP
D. ABBA

Answers

Answer:

B, because that's the side that wasn't given

Step-by-step explanation:

The statement AB ≅ PQ is required to be congruent.

Option B is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

Now,

ΔABC and ΔPQR

AC ≅ PR  (given) (side)

BC ≅ QR (given ) (side)

AB ≅ PQ (side)

ΔABC ≅ ΔPQR (SSS)

Thus,

AB ≅ PQ is required to be congruent.

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Use the figure shown. Find the slope of the line.
у
4
3
C(-2,2)
B(-4, 2)
2
1
A(-2, 1)
-7-6-5-4-3-2
OY
X
The slope is

Answers

Answer:

The slope is [tex] -\frac{1}{2} [/tex]

Step-by-step explanation:

With points A(-2, 1), and B(-4, 2), slope (m) of the line can be calculated using the formula [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex],

Where,

[tex] y_2 = 2 [/tex]

[tex] y_1 = 1 [/tex]

[tex] x_2 = -4 [/tex]

[tex] x_1 = -2 [/tex]

Plug in the values into the slope formula:

[tex] m = \frac{2 - 1}{-4 -(-2)} [/tex]

[tex] m = \frac{2 - 1}{-4 + 2} [/tex]

[tex] m = \frac{1}{-2} [/tex]

[tex] m = -\frac{1}{2} [/tex]

Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .

Answers

Answer: The correct answer is no solution.

The required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

Let the two unknown numbers be x and y;

The smaller number is x

The larger number is y

If one number is twice the other number, hence;

y = 2x ................. 1

Also, if the difference of the smaller number and half the larger number is 20, then:

x - y/2 = 20 .................. 2

Substitute the equation 1 into 2 to have:

x - (2x/2) = 20

x - x = 20

Hence the required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

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Find x

A. 33
B. 44√3
C. 33√2
D. 11√3

Answers

Answer:

d

Step-by-step explanation:answer is d on edg

Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Answers

Answer:[tex]14cm^{2}[/tex]

Step-by-step explanation:

diameter=7.3cm

radius=[tex]\frac{diameter}{2}[/tex]

          =[tex]\frac{7.3}{2}[/tex]

          =3.65cm

angle =120°

area=[tex]\frac{angle (tita)}{360}[/tex] × [tex]\frac{\pi r^{2} }{1}[/tex]

=[tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] ×[tex]3.65^{2}[/tex]

=[tex]13.95cm^{2}[/tex]

≅[tex]14cm^{2}[/tex]

inscribed angles. I need answers asap, thank you!​

Answers

Answer:

60°

Step-by-step explanation:

The whole circunference is 360° from a central angle

so from an inscribed angle is 180°

notice that arc ABC + arc ADC make the whole circunference

so the inscribed angles that support those arc together must add to 180°

120°+b=180

b=60

from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180

Point P' (1, 5) is the image of P (-3,1) under a translation. Determine the translation. Use non-negative numbers.

Answers

Answer:

T: 4 units right, 4 units up

Step-by-step explanation:

From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.

From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.

T: 4 units right, 4 units up

The translation vector is (4, 4).

Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.[tex]P'(x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.

If we know that [tex]P(x,y) = (-3, 1)[/tex] and [tex]P'(x,y) = (1,5)[/tex], then the translation vector is:

[tex]T(x,y) = P'(x,y) - P(x,y)[/tex]

[tex]T(x,y) = (1,5) - (-3, 1)[/tex]

[tex]T(x,y) = (4,4)[/tex]

The translation vector is (4, 4).

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jumbo fancy store wants to place an order for candles , if one box contains 144 candles, how many boxes must the shop order for a stock of 100 080 candles?

Answers

Answer: The shop must order 695 boxes

Step-by-step explanation:

To find how many boxes that holds 100,080 candles, first divide the amount of candles that is needed to the measured amount of candles that is in a box.

144 candles= 1 box

100,080= ? Box(es)

So:

100,080 ÷ 144= 695 boxes

I hope this helps! I'm sorry if it's wrong.

If a 100-pound block of ice is placed on an inclined plane that makes an angle of 35° with the horizontal, how much friction force will be required to keep it from sliding down the plane? Choose the equation that could be used to solve the problem if x represents the force required to keep the block from sliding down the plane.

Answers

Answer:

F = 100(.5736)  

= 57.36 lbs. (rounded off to 2 decimal places)  

2) sin60 = .866  

F = 18(.866)  

= 15.59 lbs. (rounded off to 2 decimal places)

Step-by-step explanation:

F = friction

Answer:

100sin35° = x

Step-by-step explanation:

I did the assignment, this was the correct answer for me.

22/55 of a number is what percentage of that number

Answers

Answer:

[tex]\boxed{40}[/tex]

Step-by-step explanation:

Divide 22/55 to get 0.4.

Multiply 0.4 * 100 to get 40.

That value is your percentage.

Answer:

40 percent

Step-by-step explanation:

22/55

simplify by 11

2/5

multiply by 20

40/100

turn to percent

40 percent

land and sea corporation has just purchased some shoreline property, and according to their calculations it will cost 2.5 times as much to develop the land as much as it did to buy it. If land and sea believe it will end up spending a combined total of $13,457,500 on both the land and its developments, how much must be the land alone have cost?

Answers

Answer:

5,383,000  / *improvments cost 8,074,500

Step-by-step explanation:

if 2.5 is by 'times' then,

13,457,500 / 2.5 =

5,383,000

Which means the cost of the land is 5,383,000

To check just multiply:

5,383,000 x 2.5 = 13,457,500

*Extra

13,457,500 - 5,383,000

= the cost of improvements =  8,074,500

Hope this helps, and have a good day :)

Answer:

$3,845,000

Step-by-step explanation:

Land cost = lDevelopment cost = dTotal cost = $13,457,500

As per given:

d= 2.5 l

Then total is:

l+2.5l= 134575003.5l= 13457500l= 13457500/3.5l= $3845000

Cost of the land alone is  $3,845,000

Solve (s)(-3st)(-1/3)

Answers

Answer:

Step-by-step explanation

What the answer now

Answers

Answer:

35.6 yd²

Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21°  => sum of triangle

v = ??

Plug in the values and solve for v

[tex] \frac{v}{sin(21)} = \frac{19}{sin(137)} [/tex]

Multiply both sides by sin(21)

[tex] \frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21) [/tex]

[tex] v = \frac{19*sin(21)}{sin(137)} [/tex]

[tex] v = 10 yd [/tex] (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

= ½*10*19*sin(22)

Area = 35.6 yd² (to nearest tenth)

30 times the square of a nonzero number is equal to eight times the number what is the number

Answers

Answer: 4/15

Step-by-step explanation:

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]

You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8

Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]

Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:

[tex]\frac{8}{30} = \frac{4}{15}[/tex].

Therefore, the number is [tex]\frac{4}{15}[/tex].

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Answers

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

[tex]2^x=1-3^x[/tex]

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

[tex]2^{-0.75}=1-3^{-0.75}[/tex]

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

[tex]2^{-1.25}=1-3^{-1.25}[/tex]

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

[tex]2^{0.75}=1-3^{0.75}[/tex]

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

[tex]2^{1.25}=1-3^{1.25}[/tex]

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

PLZZZ help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answers

Answer:

[tex]A_s = 36\pi - 72[/tex]

Step-by-step explanation:

[tex]A_{shaded} = \frac{A_{circle}}{4} - A_{triangle}\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = \frac{b * h}{2} \\\\A_t = \frac{12 * 12}{2} \\\\A_t = 72\\\\\\A_s = \frac{144\pi }{4} - 72\\A_s = 36\pi - 72[/tex]

the sum of two integers is 116. if one of them is -79 find the other integers

Answers

Answer:

195

Step-by-step explanation:

So -79 + x = 116

then x = 116 + 79 = 195

Answer:

The sum of two consecutive integers will always be an odd number.

Step-by-step explanation:

-79 + x = 116

x = 116 + 79 = 195

195 is the answer

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*PLEASE MARK ME BRAINIEST*

Thank you, have a nice day

Hugh works in a Fish Packing Plant at Rocky Bay in British Columbia. He work 30 hours per week, 40 weeks a year, and earns $12.08 per hour. Find his weekly gross salary. Find his weekly net pay (deduct Federal, Provincial Income tax, CPP, EI Premiums).Calculate his yearly net pay and Calculate the percent of his gross income that is deducted each year.

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Weekly gross salary is the product of the number of hours worked per week and earnings per hour. It is given as:

Weekly gross salary = number of hours worked per week × earnings per hour = 30 hrs / week × $12.08/hr = $362.4

b) Using claim code 2 for the weekly gross salary, Federal tax = $16.05, CPP = $14.61, provisional income tax = $0.6 and EI = $6.27

Total deductions = $16.05 + $14.61 + $0.6 + $6.27 = $37.53

Weekly net pay = Weekly gross salary - Total deductions = $362.4 - $37.53 = $324.87

c) Yearly net pay = weekly net pay × number of weeks in a year = $324.87 × 52 = $16893.24

d) percent of his gross income deducted yearly = weekly deductions / weekly gross income × 100% = 37.53 / 362.4 × 100% = 10.4%

evaluate 15.2% of a 726 + 12.8% of 673

Answers

Answer:

196.496

Step-by-step explanation:

0.152x726+0.128x673

110.352+86.144

=196.496

Victor fue al mercado para comprar manzanas, naranjas y platanos; las naranjas costaron el doble de lo 1ue pago por las manzanas y los platanos costaron 8 pesos menos que pas manzanas, en total gasto 100 pesos. Determina el precio de las manzanas, naranjas y platanos

Answers

Answer:

El precio de las manzanas = 27 pesos

El precio de las naranjas = 54 pesos

El precio de las bananas = 19 pesos

Step-by-step explanation:

Los parámetros dados son;

El monto total gastado = 100 pesos

Sea el precio de las naranjas = x

Sea el precio de las manzanas = y

Sea el precio de los plátanos = z

La cantidad pagada por las naranjas = 2 · y = x

La cantidad pagada por los plátanos = y - 8 = z

Por lo tanto, tenemos;

La cantidad total gastada = La cantidad pagada por las naranjas + La cantidad pagada por las bananas + La cantidad pagada por las manzanas

∴ El monto total gastado = 100 pesos = 2 · y + y - 8 + y

100 = 4 · años - 8

4 · y = 100 + 8 = 108

y = 108/4 = 27

y = 27

De

z = y - 8 tenemos;

z = 27 - 8 = 19

De 2 · y = x, tenemos;

2 × 27 = x

x = 54

Por lo tanto;

El precio de las naranjas = 54 pesos

El precio de las manzanas = 27 pesos

El precio de los plátanos = 19 pesos.

What is the average time for the toy car to move 1.0 m on dirt? 20.2 s, 24.4 s, 28.1 s or 60.7 A student collected data about the distance a ball falls over time. Which type of graph should he use to represent the data? circle graph, scatterplot, histogram or bar graph

Answers

Answer:

1) Incomplete question

2) Scatterplot

Step-by-step explanation:

1) The question is incomplete. To calculate the average time required for the toy car to move, the formula to be used will be

velocity = distance ÷ time

Hence; time = distance ÷ velocity

2) There are two variables in the question; the distance (it takes the ball to fall) and the time. The type of graph (from the option) that can have two variables represented on it is a scatterplot.

Answer:

answer; A. 20.2 s.

Step-by-step explanation:

i had the same question but i had a graph to help me anyways

20.0 + 19.2 + 21.5 = 60.7 s, but you divide the total by 3, then here is your answer: 20.23333333333333 and you simplify it to 20.2 s,

Solve for X in the diagram below
PLS HELP BRAINLIST AND A THANK YOU WILL BE REWARDED :)

Answers

The 3 angles need to equal 180

The middle angle is given as 100.

180 -100 = 80

There is an x on each side so you have 2x

2x = 80

X = 80/2

X = 40 degrees

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?

Answers

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

Answer:

D: 6

Step-by-step explanation:

I got it right on the test Edge nuity

A plane set off to Paris at a speed of 300mph. On the return flight of 12 hours, the plane cruised at 242mph. How many hours long was the flight to Paris

Answers

Answer:well the answer is 2 hours 16 minutes.

Step-by-step explanation:

To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.

A cotton candy vendor has 27 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?

Answers

Answer:

36

Step-by-step explanation:

Let the total number of cotton candy = A

Number of blue cotton candy = 27 cones

Percentage of blue cotton candy = 75%

Therefore, the total number of cotton candy is calculated as:

27/A × 100 = 75%

2700/A = 75

Cross Multiply

75A = 2700

A = 2700/75

A = 36

Therefore, the amount of total cotton candy that we have is 36.

How many and of which kind of roots does the equation f(x) = x3 – x2 – x + 1 have?
A. 2 real; 1 complex
B. 1 real; 2 complex
C. 3 real
D. 3 complex

Answers

C i think.................

The kind of roots does the equation f(x) is option (C) 3 real roots is the correct answer.

What is a polynomial equation?

A polynomial equation is a sum of constants and variables. A polynomial is an expression consisting of indeterminate's (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

For the given situation,

The equation [tex]f(x) = x^3 - x^2 - x + 1[/tex]

The roots of the polynomial equation can be found as follows,

Step 1:

Substitute the value of x in which the equation f(x) equals zero.

⇒ Put [tex]x = 1[/tex], the equation becomes

⇒ [tex]f(1) = 1^3 - 1^2 - 1 + 1[/tex]

⇒ [tex]f(1) = 0[/tex]

Thus [tex](x - 1)[/tex] is the one root of the equation.

Step 2:

The other roots can be found by framing the quadratic equation on dividing the equation [tex]f(x) = x^3 - x^2 - x + 1[/tex] by [tex](x - 1)[/tex]

On dividing [tex]f(x) = x^3 - x^2 - x + 1[/tex] by [tex](x - 1)[/tex] we get the quotient,

⇒ [tex](x^{2} -1)[/tex]

Step 3:

Now factorize the quadratic equation, [tex](x^{2} -1)[/tex]

It can be expand using the identity,

⇒ [tex](x^{2} -1^{2} ) = (x+1)(x-1)[/tex]            [∵ (a^2 - b^2) = (a+b)(a-b) ]

Thus the factors of the equation are [tex](x-1)(x+1)(x-1)[/tex]. So the roots are [tex]1,-1,1[/tex].

Hence we can conclude that the kind of roots does the equation f(x) is option (C) 3 real roots is the correct answer.

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A projectile is shot from the edge of a cliff 80 m above ground level with an initial speed of 60 m/sec at an angle of 30 with the horizontal. Determine the time taken by the projectile to hit the ground below. For each of the processes, determine whether the entropy of the system is increasing or decreasing.a. A snowman melts on a spring day.b. A document goes through a paper shredder.c. A water bottle cools down in a refrigerator.d. Silver tarnishese. Dissolved sugar precipitates out of water to form rock candy. Bing engaged Dill to perform personal services for $2,200 a month for a period of four months. The contract was entered into orally on July 1, 1984, and performance was to commence on September 1, 1984. On August 10, Dill anticipatorily repudiated the contract. As a result, Bing: Put the following numbers in order from least to greatest: /2,-4,0.09,17,3,-1/7,225 On July 1, Shady Creek Resort borrowed $320,000 cash by signing a 10-year, 11.5% installment note requiring equal payments each June 30 of $55,480. What amount of interest expense will be included in the first annual payment EWhat is the value of x in the equation 3x.. by y 18, when y27 In the Zechariah third vision he saw a man with a measuring rod, surveying Jerusalem in preparation for the rebuilding of its walls.a. Trueb. False A train is running at the speed of 90 mph. The length of the train is 300 ft. How long would it take to cross a railway platform 492 ft long? 1.Maine was once owned by WHICHcolony?VermontNew YorkConnecticutMassachusetts Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line m-m-1/2=1-m-2/3 ( will mark brainiest) True or False: Polar molecules do not have a difference in electrical charge. Paige Company estimates that unit sales will be 10,800 in quarter 1, 12,700 in quarter 2, 14,800 in quarter 3, and 18,500 in quarter 4. Using a sales price of $85 per unit. Prepare the sales budget by quarters for the year ending December 31, 2017. How many petals are on the graph? Find the trigonometric form of a given function. Evaluate the following expression.28 10 15 = 3 =and this is the order of operations PROVE THAT:cos 20 - sin 20 = \sqrt{2}sin25 List out analog computer You are rolling a 6-sided number cube with the numbers 1 through 6. Which of the following represents the probability of rolling an even number?01/61/21 A son is 8 years old. His father is 5 times as old. How old was the father when his son was born? The image below shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?