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.

Answers

Answer 1

Answer:

Part A:

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

Part B:

s = 32t

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

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

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3.  Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second


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activist judges believe that federal judges should

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Answer:

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

Step-by-step explanation:

what is -4(2x - 3) equal

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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

Find the value of x, y, and z.

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x is 90 degrees
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Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean
A. Each member visits the fitness center 3 or 4 days per week.
B. The average number of days that each member visits the fitness center is 3.12 days per week.
C. Half the members visit the fitness center 3 days per week or less, and the other half 4 days per week or more.
D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.

Answers

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.

What is mean?

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.

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i don't understand help me please math!!

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Answer:

A. 315 degree

B. 6480 degree

C. 63^ over 2

D. 7^ over 4

E. 945 degree

hope it help:)

On Monday, 412 students went on a trip to the zoo. All 8 buses were filled and 4
students had to travel in cars. How many students were in each bus?
Let s = number of students on each bus?

Answers

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

Can someone help and explain please!

Answers

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

Complete the shape below so that AB is a line of symmetry

Answers

Here you go I hope it helps, image attached

What is the perimeter of the inside of the track?

Answers

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.

YOU guys can write a story or a situation that can be represented by the given equation.

4a + 5 = 12a - 11

Thank you :)​

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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:

Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?

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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.

If the length of the rectangle measures (2x -4) cm and the width measures (3x) cm, what is the area of the rectangle in terms of x?




pls ANSWER THIS CORRECTLY WITH A COMPLETE SOLUTION

Answers

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

length of the rectangle= (2x-4)cmbreadth of the rectangle =3x cm

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

Area of triangle=??

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

Area of rectangle= lxb

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

➡Area of rectangle= lxb

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

➡Area of rectangle= 6x²-12x

Marlee had a certain amount of money (x) in her bank
account. She deposited $60.00 from her grandmother
for her birthday. She then spent of the money in her account on rent that totaled $550. Which equation represents this situation?

Answers

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!

Please help I don’t understand this

Answers

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]

An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.​

Answers

Add each metal together:
3+18+6+3 = 30

Now put divide each metal by 30 and multiply by 100 to get what percentage is each metal is of the alloy:

Silver- 3/30 x 100 = 10%
Copper- 18/30 x 100 = 60%
Aluminium- 6/30 x 100 = 20%
Zinc- 3/30 x 100 = 10%

(Ensure they all total 100% - which they do)

Determine the range values for x

Answers

5x+2=47
5x=45
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The y-intercept of a line has the same value as its gradient. If this line cuts the curve y = [tex]x^{3}[/tex] – 2[tex]x^{2}[/tex] – 3x – 8 at x = 3, find the equation of the line.



Select one:


a. 2x − y + 2 = 0


b. 2x + y + 2 = 0


c. 2x + y − 2 = 0


d. None of these

Answers

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

please help i need now

thank youu

Answers

Answer:

B

Step-by-step explanation:

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

A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers

Answers

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]

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

giving brainliest to anyone who solves this question CORRECTLY WITH NO LINKS

5 ti the fifth power + 16 divided by 19 times 20 plus one equals ?????

Answers

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

A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?

Answers

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:

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Who’s smart ,but it’s math

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Answer:

The answer is c

Step-by-step explanation:

22.68 ÷ 14.65 ayuden pliss

Answers

Answer:

1.54

Step-by-step explanation:

Which type of graphs can show continuous data?
a. line graph
b. bar graph
c. line plot
d. pictograph

Answers

Bar graph is the answer

Answer:

bar and line

Step-by-step explanation:

Simplify.
(5³)²
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee

Answers

Answer:

5⁶=15625...............

The answer is 5^6.
When you have a power to another power, you multiply the exponents. So 3x2 is 6. The answer is 5^6

-2x(-3x +2)- (x+2)2
giúp tôi với!

Answers

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" )

Ok done. Thank to me :>

8. If the weights of males are normally distributed with mean = 170 and standard deviation = 20, what weight (to the nearest
pound) would correspond with the 40th percentile?
A) 68
B) 165
C) 175
D) 162
E) none of the above

Answers

Answer:

E. none of the above

Step-by-step explanation:

20 doesnt fit any of these answers

find three consectutive integers such that the sum of the second and third is -17

Answers

Answer:

-7, -8, -9

Step-by-step explanation:

-8 + -9 is -17

If y=8x and y=96 what does x equal

Answers

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

Y= 96
Y= 8x
x = 96/8
x= 12

10. Find the range of possible values for the variable.

Answers

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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