The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )StartFraction m Over sec EndFraction for all t. If sequals0 when tequals​0, find the value of s when tequalsStartFraction pi Over 2 EndFraction sec.

Answer:

3 1/3 is the answer im pretty sure

The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

Answer:

30 degrees

Step-by-step explanation:

Hope this helped and Hi!!!!!!!!! Give brainliest plz

Answer:

That is a lot of questions to answer. But I will try.

5)

a) 6 square units

b) 5/6

Second picture

1. Area = 6

2. Area = 4.5

3. Area = 20

4. Area = 9

5. Area = 17.5

Third picture

a) 8 units because if you move the bottom triangle to the top of the other triangle it makes a rectangle with height of 2 and length of 4.

I'm sorry I have to go I would love to finish this but I hope what I gave helps you!

Answer:

no

Step-by-step explanation:

The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

10.92

Step-by-step explanation:

136.5*(8/100)that is tax

Answer:10.92

Step-by-step explanation:

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

Answer:

A≈12.57

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·42≈12.56637

Answer:

353 tickets.

Step-by-step explanation:

Let's say that there are s student tickets and n nonstudent tickets.

s + n = 669

5s + 8n = 4293

Multiply -5 by the entire first equation to get...

-5s - 5n = -3345

Combine the two equations.

5s - 5s + 8n - 5n = 4293 - 3345

3n = 948

n = 316

Now, put the number of nonstudent tickets sold back into the first equation.

s + 316 = 669

s = 353 tickets.

Hope this helps!

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

In order to determine the value of x, use the

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The missing part of the question showing the figure and other earlier questions has been attached.

Answer:

A) dy/dx = (2x + y)/(-x - 2y)

B) the lower horizontal tangent line is defined by the equation: y = -⅔√15

C) the right most tangent is; x = ⅔√15

D) point at which the rightmost vertical tangent line touches the Ellipse is y = -⅓√15.

Tangent point is at: (⅔√15, -⅓√15)

Step-by-step explanation:

We are given the equation as:

x² + xy + y² = 5. Looking at this equation and the image given, we can see that it is an Ellipse.

A) Using implicit differentiation, we have;

2x(dx) + y(dx) + x(dy) + 2y(dy) = 0

Collecting like terms and rearranging gives us;

(2x + y)dx = (-x - 2y)dy

Thus;

dy/dx = (2x + y)/(-x - 2y)

b) The horizontal tangent will be the point where dy/dx = 0

Thus;

(2x + y)/(-x - 2y) = 0

Therefore,

2x + y = 0

y = -2x

Now, since the horizontal tangent has y to be a constant, then x = -y/2

Putting -y/2 for x in the initial Ellipse equation gives;

(-y/2)² + (-y/2)y + y² = 5

¼y² - ½y² + y² = 5

¾y² = 5

y² = 20/3

y = √(20/3)

y = ± ⅔√15

Therefore,the lower horizontal tangent line is defined by the equation: y = -⅔√15

c) The vertical tangent is gotten by equating the denominator of dy/dx to 0

Thus;

(-x - 2y) = 0

Or when rearranging gives; x + 2y = 0

From symmetry, we can say that the solution is x = ± ⅔√15, with the right most tangent being x = ⅔√15

d) The point at which the right most tangent touches the Ellipse is at;

y = -x/2

Since x = ⅔√15 from C above, then;

y = -(⅔√15)/2

y = -⅓√15

Therefore,the tangent point is at; (⅔√15, -⅓√15)

use graph paper.

draw lines thru the graph wait go on my image above!

15 pieces will there be.

 .5 is the same as  1/2, while 7.5 is the same as 7 1/2. To determine how many strips may be cut, use the following expression:

.5x = 7.5

This is due to the fact that the ribbon length that has to be cut is .5 feet, and we are attempting to determine how many pieces of that length might be cut from a roll of ribbon that is 7.5 feet long.

Divide both sides by 2.5 to separate the variable, and that's all there is to it.

7.5/.5 is 15.

x = 15.

Eli is able to slice a ribbon into three pieces that are each .5 feet long.

The complete question is: The red strips that are  1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression could be one of the steps in determining how many strips can be cut?

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You have the following algebraic expression:

-6у - 9х - 1 - 3х - у

in order to simplify the previous expression, order like terms first:

-6у - 9х - 1 - 3х - у =

-6y - y - 9x - 3x - 1

next, simplify like terms:

-6y - y - 9x - 3x - 1 =

-7y - 12x - 1

Hence, the simplified expression is -7y - 12x - 1

Answer:

b=12, perimeter=36

Answer:

(3 x - 5)^{2}

Step-by-step explanation:

Rewrite the expression into the form of a^2\pm 2ab+b^2:(3 x)^{2} - 2 \times 3 x \times 5 + 5^{2}

Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(3 x - 5)^{2}

Answer: (3 x - 5)^{2}

The margin of error for a 90% confidence interval in this scenario is 0.0068.

The sample consists of 250 individuals with a mean BAC of 145.

Based on past data, the researcher assumes a population standard deviation of 0.065.

We have to determine the margin of error for a 90% confidence interval in this scenario.

The z critical value at 90% confidence interval is 1.645 from the standard normal table.

The margin of error = Z × (standard deviation/√sample size)

The margin of error = 1.645 × (0.065/√250)

The margin of error = 1.645 × (0.065/15.81)

The margin of error = 1.645 × 0.0041

The margin of error = 0.0068

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The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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Answer:

blue and white

Step-by-step explanation:

yes swag forever

Answer: 108

Step-by-step explanation: Let the total number of sweets be x

Therefore, Anna  - (x/3)+8

After Anna, remaining amount is x - ((x/3)+8) = 2x/3 + 8

Betty took (2x/3 + 8)/2 + 18 = x/3 + 22

Remaining = x - ((x/3)+8) - (x/3 + 22) = x/3 -30

Candy took the rest which is 6 i.e.

x/3 - 30 = 6

x/3 = 36

x = 108