Someone please help me

Rates of change are the change of a quantity over another.

The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

The given parameters are:

[tex]\mathbf{A = |5|}[/tex] -- the amplitude

[tex]\mathbf{T = \frac 13}[/tex] --- the period

The position of the mass is modeled by:

[tex]\mathbf{y= Acos(wt)}[/tex]

Where:

[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]

So, we have:

[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]

[tex]\mathbf{w = 6\pi }[/tex]

[tex]\mathbf{y= Acos(wt)}[/tex] becomes

[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]

[tex]\mathbf{y = 5cos(6\pi t)}[/tex]

Differentiate

[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]

[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]

When t = 2.1, we have:

[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]

[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]

[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]

[tex]\mathbf{y' = -89.6296}[/tex]

Approximate

[tex]\mathbf{y' = -89.6}[/tex]

Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

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Answer:

16,733 lbs

Step-by-step explanation:

1 ton= 2,000 lbs. Hope this helps!

8/12 is your answer hope i could help

Answer:

.

Step-by-step explanation:

3x + x^2 + 2x

= x^2 + 5x

As x goes to negative infinity,

x^2 is always positive and will be higher than  5x as x  increases so

f(x) goes to infinity

Answer:

As it gets closer to the sun

Step-by-step explanation:

just trust me

The tail of comet will appear to become longer : (c) as it gets closer to sun.

The tail of a comet becomes longer and more pronounced as it gets closer to sun. Comets are made up of ice, dust, and volatile gases. As a comet approaches the sun, the sun's heat causes the ices within the comet to vaporize, creating a glowing coma (a cloud of gas and dust) around the nucleus.

The solar wind and radiation pressure then push the gas and dust particles away from the coma, forming the tail that points away from the sun due to the solar wind's influence. This tail becomes more visible and elongated as the comet gets closer to the sun, making it a sight in night sky.

Therefore, the correct option is (c).

Learn more about Comet here

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The given question is incomplete, the complete question is

When would the tail of a comet appear to become longer?

(a) as it gets farther from Earth

(b) as it gets closer to Earth

(c) as it gets closer to the sun

(d) as it gets farther from the sun

Answer:

Four possible numbers

-4

-32

-2

-10

Four numbers that are not possible

100

120

20

10

Step-by-step explanation:

I choose the 4 possible numbers because if you add a negative to a negative, the answer will always be a negative. However if you added a positive like 100 to -3, the answer wouldn't be negative so that's why I chose those numbers.

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

19y - 9

Step-by-step explanation:

- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3

= 12y - 9 + 7y ← collect like terms

= 19y - 9

Answer: Choice C

y = 4x

Direct variation

=====================================================

Explanation:

We add 4x to both sides to isolate y. That leads to y = 4x

This is a direct variation equation because it's in the form y = kx, for some constant k.

Answer:

Isabella

Step-by-step explanation:

4:2, is Isabella's ratio of honey:lime.

5:4, is Santiagio's ratio of honey:lime.

Therefore, Isabella has 6 equal parts over all and 4/6 of those parts are honey.

Santiago, has 9 equal parts, so he has 5/9 parts of honey.

Next is to make the denominators the same:

That would make the denominators 54 and then you just multiply the opposite denominator to the numerator:

5/9=36/54

4/6=30/54.

This means that Isabella's dressing is sweeter.

Answer:

is a Step-by-step explanation:

combination

A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:

2

+

2

=

4

.equation

A mathematical statement that says two expressions have the same value; any number sentence with an

=

.

ordered pair

Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates

(

x

,

y

)

, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.

solution

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Answer:200:150

Step-by-step explanation:

Answer: 3:4

Step-by-step explanation:

Choice B is the correct answer. The number of students using Photobooth is equal to

500 - (150+200) = 150

people. To find the ratio of students using Photobooth to those using Instapic:

150/200 = 3/4

This fraction can be converted to a ratio, of 3:4

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the slope of the line using the points (0 , 4) and (-8 , 0) from the given graph :

Slope (m) :

hence, the correct choice is C

Answer:

Answer:

Greatest:

16/5

/5

-3

6/7

I think, I am no t sure

Answer:

Can't answer

Step-by-step explanation:

I need more information to help you...

Could you please add a pic or screenshot for me to help?

Answer:

To find the area of the shaded region

A = Area of circle - Area of square

12cm is the diagonal of the square and diameter of the circle.

To find the side of the square,

d = √2 * s

12cm = √2 * s

s = 8.49cm

Area of square = L²

As = (8.49)²

As = 72.1cm²

Area of circle = πr²

r = 6cm

Ac = (π*36)cm²

Ac = 113.1cm²

A = Ac - As

A = 113.1cm² - 72.1cm²

A = 41cm²

The area of the shaded region is 41cm².

Answer: I can't tell from the photo which is the shaded part. I'll answer on the assumption it is either the square in the circle, or the 4 areas defined by the semicircles outside the square, but inside the circle.

Step-by-step explanation: Note the caveat above.

Circle Area = pi*r^2 or (3.14)*(6cm)^2 = 113.1 cm^2

Area of the square: The 12cm line forms an hypotenuse with either side. The sides are all equal, so if x is 1 side, we can say the area is x^2. We also know tha x^2 + x^2 = 12

x^2 = 6 cm^2 (the area of the square)

The two possible answers:

1) Shaded portion is the square: 6 cm^2

2) Shaded area means the 4 semicircles outside the square but within the circle: 113.1 cm^2 - 6 cm^2 = 107.1 cm^2

Answer:

l-5l+l4l=9

l . l means total value from zero.

Answer: $2/child and $4/adult

Step-by-step explanation:

The total fare is $14 for 2 adults and 3 children

x is the child's fare

y is the adults fare

We can say:

1)  3x + 2y = $14

2)  We are told that x = (1/2)y  [each child's fare is 1/2 each adult's fare]

3) use (2) in (1)

  3x + 2y = $14

  3(1/2)y + 2y = $14

 (3/2)y + 2y = $14

  (7/2)y = $14

  y = ($14)*(2/7)

  y = $4/adult

   x = (1/2)y; x = (1/2)(4)

   x = $2/child

Check:  Does 3x + 2y = $14 when x = $2/child and y = $4/adult?

    3x + 2y = $14

    3($2/child) + 2($4/adult) = $14

      $6   +   $8 = $14   YES

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

Answer:

7 bottles of paint and 15 canvases

Step-by-step explanation:

I'm letting x stand for the number of bottles of paint and y stand for the number of canvases

1.29x+1.89y=37.38

and y=x+8

Since the y value is isolated I can just substitute the right side of the y= equation into the original like so

1.29x+1.89(x+8)=37.38

I then distributed the 1.89 to each of the terms in the parentheses

1.29x+1.89x+15.12=37.38

I then combined like terms to get

3.18x+15.12=37.38

Then you subtract 15.12 from both sides to get

3.18x=22.26

and last we divide both sides by 3.18 to get

x=7

Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get

y=7+8

y=15

Don't forget the labels you gave each variable earlier in the problem when answering!

Answer:

12 miles per gallon (answer A)

Step-by-step explanation:

300:25

Divide each side by 25:

12:1

12 is your answer

Hope that helps

Answer:

77/125 = 37/60?

If this is a true or false problem it would be marked false.

8 and 6

20:8 and x:6

ask urself: what is the scale factor?

[tex]20:8 = \frac{20}{8} = 2.5\\so, multiply 6 by 2.5, which is 15\\therefore, x = 15[/tex]

Step-by-step explanation:

6y=3y+6(congruent triangles)

6y-3y=6

3y = 6

y=2

ST =6(2) =12

TU = 3(2) + 6 =12

Answer:

10

Step-by-step explanation:

[tex]2^{2} +10^{2} =c^{2}[/tex]

4+100=[tex]c^{2}[/tex]

c=[tex]\sqrt{104}[/tex]

c=10.198

Round to nearest thousandth

c=10

Hope this helps :)

Comment if you need more help :) :)