The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answer:

(15,0)

(0,−5)

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 2x=30 for x

The x and y intercepts of the equation of line 2x – 6y = 30 are;

x-intercept = (15, 0)

y - intercept = (0, -5)

In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.

We are given the equation of line as;

2x - 6y = 30

Thus, x-intercept, we will put y = 0;

2x - 6(0) = 30

2x = 30

divide both sides by 2 to get;

x = 30/2

x = 15

Thus, y-intercept, we will put x = 0;

2(0) - 6y = 30

0 - 6y = 30

-6y = 30

y = 30/-6

y = -5

In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)

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Given:

A local carpenter uses the function f(x) to determine the amount earned after selling x number of book cases.

[tex]f(x)=180x[/tex]

He has to sell between 5 and 10 bookcases each month in order to meet his sales goal.

To find:

The domain for this situation.  

Solution:

We have,

[tex]f(x)=180x[/tex]

where, f(x) is the amount earned be carpenter after selling x number of book cases.

Domain is the set of input values.

Here, input values are number of books he has to sell, which can be a fraction value.

Since, he has to sell between 5 and 10 bookcases each month in order to meet his sales goal, therefore the x values must be integers between 5 and 10.

Therefore, the domain for this situation is set of integers between 5 and 10, i.e., {5,6,7,8,9,10}.

20 (> greater than or equal to sign) 1.50t + 1.25t + 10

Answer:

1) The engine torque is approximately 134.33 N·m

2) The speed of the engine  is approximately 4,469.15 revolutions per minute

Step-by-step explanation:

1) The drag coefficient, [tex]c_d[/tex], is given by the formula;

[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]

Where;

[tex]c_d[/tex] = 0.28

[tex]F_d[/tex] = The drag force

ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³

u = The object's flow speed = 130 mi/h = 58.1152 m/s

A = The frontal area = 19.8 ft² = 1.83948 m²

[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]

∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N

We have;

[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]

Where;

[tex]M_e[/tex] = The engine torque

ε₀ = The overall gear reduction ratio = 2.5

[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88

r = The wheel radius = 12.6 inches = 0.32004 meters

[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]

[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]

The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m

The engine torque ≈ 134.33 N·m

2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;

[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]

Where;

v = The vehicle's speed = 130 mi/h = 58.1152 m/s

r = The wheel radius = 12.6 inches = 0.32004 meters

i = The drive axle slippage = 3% = 3/100 = 0.03

ε₀ = The overall gear reduction ratio = 2.5

[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]

The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute

The speed of the engine  ≈ 4,469.15 revolutions per minute.

17x = 32

x = 1.882

23x = 23 x 1.882 = 43.286 = 43 balls

Answer:

The answer is 0.4mph

Step-by-step explanation:

To find the speed of an object, you do distance ÷ time.

So you do 8 ÷ 20 which is 0.4.

So the object travels 0.4mph

Answer:

6 mugs

Step-by-step explanation:

6*4=24

add the remainder 2 to get 26,

since its just asking for the 4 boxes the answer is 6

Answer:

blank A->(Law of cosines)

blank B->(Pythagorean theorem/theory)

Step-by-step explanation:

Reason to get the correct measurement's of angles in a figure you must apply Cosines or Law of Cosines(same thing) which simply means angle edges

and to get the measurements of the angles length use the Pythagorean theorem which is (a²+b²=c²)

Answer:

First drop down menu answer is Option 3

Second drop down menu is Option 1

Step-by-step explanation:

A relation between a collection of inputs and outputs exists comprehended as a function.

If the equation be 12x + 8y = 240 then the value of y exists  30 - (12x/8).

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A relation between a collection of inputs and outputs exists comprehended as a function.

Let the equation be 12x + 8y = 240

8y = 240 - 12x

simplifying the above equation, we get

y = (240 - 12x) / 8

y = 30 - (12x/8)

Therefore, the value of y = 30 - (12x/8).

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Answer:

Correct

Step-by-step explanation:

Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.

Answer:

3x+12=9

Step-by-step explanation:

5 and 7 are like terms so you add them.

Answer:

D.

Step-by-step explanation:

D. 60 + 12w = 95 + 7W

Answer:

Step-by-step explanation:

huh huh huh huh whatttttttttttttt

Answer:

hi blair. we go to school together.

Step-by-step explanation:

Answer:

4b-32

Step-by-step explanation:

(b-8) •4

=4(b-8)

=4b-4•8

=4b-32

Answer:

x^3 + 2x - 3

Just divide x^5-3x^3-3x^2-10x+15 by the quotient and you get the polynomial searched.

Step-by-step explanation:

hope it helps , i am in 6th grade and i have got this answer from an elder student.

Answer:

I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.

Answer:

P(2,3) thats the answer ;)

Answer:

2/3

Step-by-step explanation:

2/3 is equal to 0.6 repeating. Hope this helps and good luck on your assignment.

Answer:

i think its c

Step-by-step explanation:

Answer:

Your answer is: (x , -1 -7x/9 )

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

Hope this helped : )

Answer:

B= 2

Step-by-step explanation:

4b+14=22

   -14  -14

4b=8

/4   /4

b=2

The value of b in the expression is,

b = 2

We have to given that,

An expression to simplify,

4b + 14 = 22

Now, We can simplify it as,

4b + 14 = 22

Subtract 14 both side,

4b + 14 - 14 = 22 - 14

4b = 8

Divide by 4;

b = 8/4

b = 2

Therefore, The solution of expression is,

b = 2

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Answer:

$93.75

Step-by-step explanation:

The computation of the total cost of order is shown below:

The Cost of 8 pounds of Pepperoni is

=  8 × $3.15

= 25.2

The Cost of 15 pounds of cheese is

= 15 × $1.85

= $27.75

The Cost of 12 pounds of sausage is

= 12 × $3.40

= $40.8

So, The total cost is

= $25.2 + 27.75 + $40.80

= $93.75

Answer:

a

Step-by-step explanation:

Answer:

y=.75x-2

Step-by-step explanation:

4,1

8,4

3/4 or .75x

to check answer:

(.75*8)=6

6-2

4

The equation of the line shown in the graph is y = 4x / 5 -2.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points located on the graph that lies on the line are (0, -2), and (2.5, 0)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the value in the above equation,

m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5

The equation of the line is given as

y - y₁ = m (x - x₁)

Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)

y = 4x / 5 -2

Thus, the equation of the line shown in the graph is y = 4x / 5 -2.

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Answer: They are equal.

Step-by-step explanation:

34 1/2 equals 34.5 in decimal form

34.5 equals 34 1/2 in fractional form

(.5 equals 1/2)

Answer:

90 degrees

Step-by-step explanation:

if you add a line from point B to point D, you will make a square and all sides are equal to 90 degrees.

use angle 3 and 4 which equal 90. divide that by 2 and each side is equal to 45. since we know that all sides are equal, angle 3 is equal to angle 2. so from here you add 45 + 45 and get 90 degrees.

HOPE THIS HELPS. can i have brainliest please?

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.