Please help!
A rock is dropped down from the top of a​ 500-foot cliff. After 1​ second, the rock is traveling 32 feet per second. After 4 ​seconds, the rock is traveling 128 feet per second.

a. Assume that the relationship between​ time, t, and​ speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form​ (time, speed).

b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.

Answer:

B

Step-by-step explanation:

if you cannot recognize the right equation, just start evaluating some points... try 5, 6, 4

Answer:

E. none of the above

Step-by-step explanation:

20 doesnt fit any of these answers

[tex]\large\huge\green{\sf{Given:-}}[/tex]

[tex]\large\huge\green{\sf{ToFind:-}}[/tex]

[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]

[tex]\large\huge\green{\sf{Solution:-}}[/tex]

➡Area of rectangle= lxb

➡Area of rectangle= (2x - 4) x (3x) cm²

➡Area of rectangle= 6x²-12x

Answer:

5.2

Step-by-step explanation:

ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.

Answer:

51

Step-by-step explanation:

Let x be the number of people in a bus. Since we have the total and the people in the car in addition to the number of busses, we can write an equation like this:

total students = (number of people in a bus) * (number of busses) + leftovers

Our equation we come up with is:

412 = s * 8 + 4

Solve

s*8=408

s=51

Answer:

The answer is c

Step-by-step explanation:

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  [tex]\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}[/tex]

At this point, you're supposed to know the factoring of the difference of squares:

  [tex]\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}[/tex]

Answer:

x-490=t

Step-by-step explanation:

Marlee has x money

She deposited $60 meaning adding $60 to the bank

So x+60

THen Marlee need to withdraw $550 from her bank to rent

So the equation is now

x+60-550

60-550 is -490

Thus:

x-490

(I will represent (t) as the money she has left for the equation)

Thus the equation is

x-490=t

Hope this helps!

Answer:

1.54

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

2 inches : 1.5 miles

8 inches : 4(2 inches)

8 inches : 4(1.5 miles)

8 inches : 6 miles

6 miles away

-Chetan K

The actual distance between the two trails is 6 miles.

Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.

Let x represent the actual distance between the trails in miles. The proportion would be:

(2 inches / 1.5 miles) = (8 inches / x miles)

Now, solving for x:

2/1.5 = 8/x

Cross-multiplying:

2x = 1.5 × 8

2x = 12

Divide by 2:

x = 6

So, the actual distance between the two trails is 6 miles.

Learn more about proportion here:

https://brainly.com/question/1496357

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Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

[tex]182000x=240*42000\\[/tex]

[tex]182000x=10080000[/tex]

[tex]\frac{182000x}{182000} =\frac{1008000}{182000}[/tex]

[tex]x =55.38min[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

Answer: D

Step-by-step explanation:

The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Let the random variable X represent the number of days per week that a member visits.
The mean of X is 3.12.
This mean describes that on an average 3.12 day in a week members visit the fitness center, it implies that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

Thus, the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

Learn more about mean here:

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Answer:

3307.31578947

Step-by-step explanation:

Answer:

I believe it's [tex]\frac{62839}{19}[/tex], or 3307.31578947

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

brainliest will be immensely appreciated uwu

Answer:

B. 2x+y+2+=0

Step-by-step explanation:

Given: x=3

First: you substitute for x in y=x^3-2x^2-3x-8

y=(3)^3-2(3)^2-3(3)-8

y=-8

Now all you have to do is plug y in each of the answers until you get 3 for x.

A. 2x-(-8)+2=0

   2x+10=0

   2x=-10

   x=-5

B. 2x+(-8)+2=0

   2x-6=0

   2x=6

   x=3

C. 2x+(-8)-2=0

   2x-10=0

   2x=10

   x=5

Answer:

bar and line

Step-by-step explanation:

Answer:

-32 or 4x -8

Step-by-step explanation:

-2 ( -3x + 2 ) : 6x - 4

= 6x -4 - 2 ( x + 2 )

- 2 ( x + 2 ) : - 2x -4

=6x - 4 - 2x - 4

= 6x -2x - 4 - 4

= 6x - 2x - 8

= 4x - 8

= -32  

( Im not really sure what is the answer )

( the "x" is alphabet, not "times" )

Answer:

-7, -8, -9

Step-by-step explanation:

-8 + -9 is -17

Answer:

Well add up the sides you can make the curving part into a full circle and calculate for the circumference.

So if the half of the circle straight part is 62 you times it by π. But π (pi) can be a fraction and a decimal: 22/7 or 3.14 although (pi) is 3.14 that is because after .14 there is ton of number so it constantly continues.

Method:

C = 2πr

or

C = πr

I hope this gives you a hint.

Answer:

394.68 m

Step-by-step explanation:

The 2 ends are half circles, so together they make a circle.

The diameter is 62 m, so the circumference is pi x diameter, or 3.14 x 62 = 194.68.

The top and bottom parts of the track are each 100 m, so add 2 of them = 200 m.

Add all 3 parts 194.68 + 200 = 394.68 m.

Answer:

A. 315 degree

B. 6480 degree

C. 63^ over 2

D. 7^ over 4

E. 945 degree

hope it help:)

Answer:

19.56

Step-by-step explanation:

Discount 25% of $24.60 is :

(25/100) x 24.6 = 6.15

$24.60 - 6.15 = $18.45

Tax 4.5% of $24.60 is :

(4.5/100) x 24.6 = 1.107 approx. 1.11

Amount to be paid = $18.45 + $1.11 = $19.56

Answer:

-8x + 12

Step-by-step explanation:

-4(2x - 3)

then -4*2x and -4*-3(an even number of negative signs multiplied equals to a positive sign)

therefore= -8x + 12

Answer:

If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.

Step-by-step explanation:

Answer:

5⁶=15625...............

Answer:

beyond the words of a constitution or statute to consider the broader societal implications of their decisions.

Step-by-step explanation:

The range of possible values for the variable is x < 12

From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.

30 > 3x - 6

Swap sides

3x - 6 < 30

Add 6 to both sides

3x - 6 + 6 < 30 + 6

3x < 36

Divide both sides by 3

3x/3 < 36/3

x < 12

Hence the range of possible values for the variable is x < 12

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