Explain why it does not matter which point you choose when writing the
equation of the line in point-slope form, given two points.

Answer:

x>1/2

Step-by-step explanation:

4x>2

4x/4

2/4

x>2/4

2/4 divided by 2= 1/2

x>1/2

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:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

Answer:

-16

Step-by-step explanation:

Use everyone's favourite thing: ALGEBRA!!!

16=x+32

16-32=x

-16=x

Hope that helps

Step-by-step explanation:

16=x+32

16-x=32

-x=32-16

-x=16

X=-16

Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425

Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).

How do you solve fractions step by step?

   Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10

   a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1

   b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

   0.7/1 = 7/10

   Note: 7/10 is called a decimal fraction.

   c) Simplify and reduce the fraction

   7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1

   Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus four minus seven tenths = minus forty-seven tenths.

   Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.

   Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40

   Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.

Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:

a1=5

d=9-5=4

a20=5+19×4=81

Answer:

-6

Step-by-step explanation:

h(x)=3x+3

g(x)=-4x+1

(h+g)(x) = 3x+3 -4x+1 = -x+4

(h+g)(10) = -(10)+4 =-6

Answer:ce  6x^2=216

Step-by-step explanation:

since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216

Answer:

Answer=69

Step-by-step explanation:

8% of 75=6

75-6=69

Answer:

good luck i need to conquer europe

Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.

Veremos que cada integrante debe registrar 580m^2 por día.

La informacion que se nos da es:

Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:

a = 174,000 m^2/10 = 17,400 m^2

Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:

d = a/30 = 17,400 m^2/30  = 580m^2

Eso es lo que cada integrante debe registrar por día,

Sí quieres aprender más, puedes leer:

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Answer:

I asked this same question and I got this answer

Step-by-step explanation:

g (x) = 2x7x24 = 336

I'm not sure bc I asked the same question and got this answer from someone...

Answer:

4,800 student's actually enroll.

Step-by-step explanation:

40% of 30,000 is 12,000.

40% of 12,000 is 4,800.

Answer:

x=−5+3–√2

x=−5−3–√2

Step-by-step explanation:

Answer:

m<M is 98°............

__________

[tex] \: [/tex]

6f = $15

8f = $20

10f = ?

Soo :

2f = 5

f = 2,5

10f = 10(2,5) = $25✔

The cost of the wire of the third length in the table is, 25 dollars

We have to give that,

The cost of a certain type of wire varies directly with its length.

Now, From the table the equation between cost and length is,

y - 15 = (20 - 15)/(8 - 6) (x - 6)

y - 15 = (5/2) (x - 6)

y - 15 = 2.5x - 15

y = 2.5x

Where y represents the cost and x represent the length.

Hence, At x = 10 feet

y = 2.5 (10)

y = 25 dollars

So, The cost of the wire is, 25 dollars

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Answer:

wheres the line

Step-by-step explanation:

Step-by-step explanation:

refer to the picture.. hope this helps :)

Answer:

b.

Step-by-step explanation:

Answer:

3 inches

Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.

A square also have the same length for all 4 sides.

So each side of the square is 6cm, to find the perimeter you do 6*4=24.

then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8

so each side of the triangle will be 8cm

Answer:

348.

Step-by-step explanation:

Step-by-step explanation:

1262 enjoy brainliest appreciated

Answer:

SSS~

RQP

Step-by-step explanation:

36/15 = 2.4

48/20 = 2.4

72/30 = 2.4

Triangles are similar by SSS~.

triangle JKL is similar to triangle RQP

Answer:

0.05 in decimal form

Step-by-step explanation:

I don't know if you accidentally left something out but if you did I can edit my answer or put the answer in the comments.

Answer:

[tex]3\dfrac{4}{5}[/tex]

Step-by-step explanation:

19 = 7x - 2x

19 = (7 - 2)x

19 = 5x

Divide both side by 5

19/5 = x

[tex]x=3\dfrac{4}{5}[/tex]

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Value of x is equal to ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]