Is there a way to solve this equation without Calculus concepts? I am enrolled in Geometry and this is extra credit and I'm having a hard time understanding this. Please mind how stupid I may sound if I said something wrong.

Is There A Way To Solve This Equation Without Calculus Concepts? I Am Enrolled In Geometry And This Is

Answers

Answer 1

Step-by-step explanation:

ω = ω₀ + αt

θ = ω₀ t + ½ αt²

We need to eliminate t from the system of equations.  Solve for t in the first equation, then substitute it into the second equation.

t = (ω − ω₀) / α

θ = ω₀ (ω − ω₀) / α + ½ α ((ω − ω₀) / α)²

θ = ω₀ (ω − ω₀) / α + ½ (ω − ω₀)² / α

αθ = ω₀ (ω − ω₀) + ½ (ω − ω₀)²

αθ = ω₀ω − ω₀² + ½ (ω² − 2ω₀ω + ω₀²)

αθ = ω₀ω − ω₀² + ½ ω² − ω₀ω + ½ ω₀²

αθ = ½ ω² − ½ ω₀²

2αθ = ω² − ω₀²


Related Questions

The average U.S. resident uses 100 gallons of
water per day. The population of the United
States is about 3.23 X 108. About how
many gallons of water do U.S. residents use
each day? Express your answer in scientific
notation.

Answers

Answer:3.2300*10^10

Step-by-step explanation:

Choose the fraction that is equal to a repeating decimal.
2/3
1/10
1/4

Answers

Answer:

2/3

Step-by-step explanation:

2/3 is a repeating decimal of 0.666667

HELP MEEEEE?????!!!!!!

Answers

Answer:

8

Step-by-step explanation:

we can write the question out:

2              36

----     x     ------

9                1

We can now cross out divide 9 by 9 and 36 by 9:

2             36/9 = 4

----     x     ------

9/9 = 1        1

2       x      4

----          ------

1                1

= 8/1

= 8

Stumped with this row of questions please help I’ll mark as brainlyest

Answers

Answer:

4. y=-5x+2

Step-by-step explanation:

Subtract the 5x from both sides

Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use.

Answers

Answer: 30 inches

Step-by-step explanation:

Here is the complete question:

Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use. What was the total length of the boards that he needed?

From the question, we are informed that Caleb needed 2 boards that were each 6 inches long and one board that was 18 inches long.

The total length of the boards that he needed goes thus:

For the first part, we are told that Caleb needed 2 boards that were each 6 inches long. This means that he needs a total of (2 × 6 inches) = 12 inches.

We are also told that he needed one board that was 18 inches long. This mean the total length of the birds needed will be the addition of the length of all the three boards. This will be:

= 12 inches + 18 inches

= 30 inches

A ball is rolled down the hill at 3 m/s. The hill is 36 meters long. How
many seconds does it take the ball to reach the bottom of the hill? *

Answers

Answer:

12 seconds

Step-by-step explanation:

To do this you would take the rate of the ball, (the 3 m/s) and divide it from how big the hill is, (36 m)

36/3=12 seconds

So the ball would reach the bottom of the hill in 12 seconds

Whats the slope of the line on the graph (plz answer soon i have way more hw to deal with and i cant be stuck on this all day)

Answers

Answer:

-4/12

Step-by-step explanation:

The slope is negative, i did rise over run.

Lisa has only nickels and dimes in her money box

Answers

Where is the question? Maybe I could help if you put a picture or asked a question lol
is there anything more than that? does it include how many dimes or nickels there are in her box??

Which function is negative for the interval (-1, 1)?
Ty
1y
3
2
2
-3-2-1
2 3
-3-2
-3-2-14
-3-2-1
23
-2
ON
HAL
O
O

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco

The formula for the area of a trapezoid is A=\frac{1}{2}h(b_1+b_2),A= 2 1 ​ h(b 1 ​ +b 2 ​ ), where hh is the height and b_1b 1 ​ and b_2b 2 ​ are the two bases. Rewrite the formula to solve for hh in terms of A,A, b_1b 1 ​ and b_2.B 2 ​ .

Answers

Question

The formula for the area of a trapezoid is A= 1/2h(b1 + b2),

where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for h in terms of A, b1 and b2​

Answer:

h = 2A/b1 + b2

Step-by-step explanation:

Area of a Trapezoid

= 1/2h(b1 + b2)

Rewriting the formula to solve for h, this means making h the subject of the formula

A = 1/2h(b1 + b2)

Cross Multiply

2A = h(b1 + b2)

Divide both sides by b1 + b2

h(b1 + b2)/b1 + b2 = 2A/b1 + b2

Therefore,

h = 2A/b1 + b2

What is the slope of the line represented by the equation 2x+3y= –12 ?

Answers

Answer:

-2/3

Step-by-step explanation:

2x+3y= –12

3y=-2x-12

y=-2/3x-4

m=-2/3

Answer:

-2/3

Step-by-step explanation:

Subtract 3y from both sides and add 12 to both sides: 2x+12=-3yDivide by -3: -2/3x-4=ySlope is -2/3Hope this helps!

After 10 days Mr. Monasterio had eaten 43 burritos. After 15 days, he had eaten 78 burritos. What is the rate of change? Label your answer with units.

Answers

Answer:

7 burritos/day

Step-by-step explanation:

Given data

Initial day =10

Final day =15

Initial burritos consumed=43

Final burritos consumed =78

Let the constant k = rate of change

change in days = 15 - 10 = 5

change in number of burritos = 78-43=35

k = 78-43/15-10

k = 35/5

k = 7

Since k = change in number of burritos/change in days

7 burritos/day

NEED HELP ASAP PLEASE!!

Answers

Answer:

a would be 0 and b would be 33

Step-by-step explanation:

that's what I think the answer is-

what is the distributive property of -8(2b+3)

Answers

Answer:

-16b -24

Step-by-step explanation:

[tex]-8(2b+3)\\\\-8\times 2b + (-8\times 3)\\\\-16b +(-24)\\\\-16b -24[/tex]

Kayla is building a custom frame using reclaimed wood. She needs the frame to be 14 1/2 inches wide by 9 1/4 inches long. She has two pieces of wood which are 18 inches long and two pieces which are 12 inches long. How much extra wood will she have. She will have two pieces blank inches long and two pieces blank inches long

Answers

Answer:

12 1/2 inches extra wood.

Step-by-step explanation:

From the question, the measurements given for the frame are ;

Length, l = 9 1/4 in  -----write as improper fraction : 37/4 in

Width, w=  14 1/2 in -------29/2 in

This should tell you that custom frame will be rectangular in shape.

Find the total perimeter of the frame which will be total length needed in inches for the frame.

P= 2{l+w}

[tex]P=2(\frac{37}{4} +\frac{29}{2} )\\\\\\P=2( \frac{95}{4} )=\frac{95}{2}[/tex]

P= 95/2 in ------total length required for the frame

Available pieces of wood are;

Two pieces of 18 in long = 2*18 = 36 in

Two pieces of 12 in long = 2*12 = 24 in

Total available length from the pieces of wood = 36 + 24 = 60 in

Extra wood available :

60/ 1 - 95/2 = 25/2 in

In mixed fraction : 25/2 = 12 1/2 inches extra wood.

Shawn's family car holds 16 gallons of fuel. Each day the car uses 0.8 gallons to get to school and back. A warning light comes on when there is less than 1.5 gallons left in the fuel tank. How many days can Shawn drive the car before the warning lights come on?

Answers

Given :

Shawn's family car holds 16 gallons of fuel.

Each day the car uses 0.8 gallons to get to school and back.

A warning light comes on when there is less than 1.5 gallons left in the fuel tank.

To Find :

How many days can Shawn drive the car before the warning lights come on.

Solution :

Let, after x days warning come.

So,

[tex]16 - 0.8x < 1.5\\\\16-1.5<0.8x\\\\0.8x > 14.5\\\\x > \dfrac{14.5}{0.8}\\\\x > 18.125[/tex]

Therefore, at 19th day the warning light will start glowing.

Hence, this is the required solution.

describe a number x increased by 10

Answers

Answer:

x+10 ?

Step-by-step explanation:

the variable is being increased by 10 therefore add 10 to the variable

A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Answers with fractions must be entered at a decimal. For example 1 1/2 would be 1.5 and 1 1/4 would be 1.25.

Answers

Answer: 12.5cm

Step-by-step explanation:

From the question, we are informed that a scale drawing of a lake has a scale of 1 cm to 80 m. This can be represented as a fraction of 1/80.

Since the actual width of the lake is 1,000 m, the width of the lake on the scale drawing will be:

= 1/80 × 1000

= 12.5cm

The width of the lake on the scale drawing is 12.5cm.

if someone has a 76.88 and a projest is worth 20 percent then what is there final grade

Answers

Answer:

Step-by-step explanation:

if you got 100 percent on the project then you would have a 89.55

Answer:

81.50

Step-by-step explanation:

PLEASE HELP!!!!! I NEED TO KNOW THIS!!!!!

Answers

Answer:

C

Step-by-step explanation:

Every line shows its increase over 1 unit so the longest line is C

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!

Answers

Answer:

It is B or C I belive HHEHE that rhymed

Step-by-step explanation: Hope dis helped :3

Answer:a

Step-by-step explanation:

Please show all of the work you did.

Answers

9514 1404 393

Explanation:

RS ≅ RU . . . given

RT ≅ RT . . . reflexive property

TS ≅ TU . . . definition of midpoint

ΔRTS ≅ ΔRTU . . . SSS postulate

Solve.
50 = -2.5x
a. x= 115
b. x= 115
c. x= 20
d. x= -20

Answers

Answer:

x=-20

Step-by-step explanation:

50÷-2.5=-20

Answer:

d. x = -20

Step-by-step explanation:

Given 50 = -2.5x, we are told to solve for x, which only involves two steps:

50 = -2.5x

÷-2.5 ÷-2.5

(Division property of equality)

________

-20 = x

x = -20

(symmetric property of equality)

A School District transported 310 students and teachers to a zoo in buses and vans. Each bus transported a total of 20 students and teachers Each van transported a total of 10 students and teachers. There were 5 more buses than vans. What is the total number of students & teachers who rode the buses to the zoo? What is the total number of students & teachers who rode the vans to the zoo?

Answers

Answer:

240 Students and teachers rode buses

70 students and teachers rode vans

Step-by-step explanation:

Let the total number of buses be x

Let the total number of vans be y

If there were 5 more buses than vans, then x = y+5 ...... 1

If each bus transported a total of 20 students and teachers and each van transported a total of 10 students and teachers then:

20x + 10y = 310 ..... 2 (where 310 represents the total number of students and teachers in the school district)

Substitute equation 1 into 2:

20(y+5)+10y = 310

20y+100+10y = 310

30y = 310-100

30y = 210

y = 210/30

y = 7

Substitute y = 7 into equation 1 to get x:

From 1: x = y+5

x = 7+5

x = 12

The total number of buses are 12 while the total vans are 7

If each bus transported a total of 20 students and teachers, the total number of teachers and students that rode the buses to the zoo will be 20*12 = 240 teachers and students

If each van transported a total of 10 students and teachers, the total number of teachers and students that rode the vans to the zoo will be 10*7 = 70 teachers and students

What is the difference of twenty squared and the product of fifteen and twelve?

200

180

220

160

Answers

Answer:

220

Step-by-step explanation:

20 squared is 400

15 times 12 is 180

400-180 is 220

Answer:

ans

multiply all number please like

ans is 220

use an equation to find the value of k so that the line that passes through the given points had the given slope, m.

PLEASE HELP ME I DONT WANT TO FAIL ALGEBRA AND NO ONE HAS ANSWERED THE LAST TIMES I NEEDED HELP!!!!!!!!!

Answers

Answer:

k = 11

Step-by-step explanation:

Can you please help me with this?​

Answers

Answer:

–2/7

Step-by-step explanation:

The slope formula is m = y2–y1/x2–x1

Where m is slope, (x1, y1) is the coordinates of any point, (x2, y2) is another point.

So take any number on the y column, I used 2 and 4 and subtract them by each other 2-4= -2 and do their x equivalent 7-0 = 7 put them in slope format and it's -2/7

what is the sum of 43 plus 4

Answers

Answer:

47

Step-by-step explanation:

If you add 4 to 43 you get 47 man that was so hard

Simplify the expression.
(4a3 - 80 - 4a2) + (7a? - 7 - 6a)

Answers

Answer:                                                                                                                    4a3 −87−4a 2 +a

Step-by-step explanation:

Angles A and B are complementary. Angle A is 87°. Find the
measure of angle B.

Answers

Answer:

m∠B = 3°

Step-by-step explanation:

Complementary angles when combined will equal 90° in total.

∠A + ∠B = 90

m∠A = 87°     {Given}

Plug in 87 for ∠A in the given equation, and solve for ∠B

87 + ∠B = 90

Isolate the variable. Subtract 87 from both sides of the equation:

87 (-87) + ∠B = 90 (-87)

∠B = 90 - 87

∠B = 3°

m∠B = 3° is your answer.

~

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