Select the tables that show a proportional relationship between x and y.

Answer:

a) The stone takes approximately 6.704 second to reach the ground.

b) The stone takes approximately 6.704 second to reach the ground.

c) The stone hits the ground at a velocity of -215.695 meters per second.

Step-by-step explanation:

a) The stone experiments a free fall, which is a uniform accelerated motion due to gravity and in which effects from air friction and Earth's rotation are negliglble. Then, the vertical distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)

Where:

[tex]y_{o}[/tex] - Initial height of the stone, measured in meters.

[tex]v_{o}[/tex] - Initial velocity of the stone, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If we know that [tex]y_{o} = 723\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = 723 -16.087\cdot t^{2}[/tex] (2)

b) If we know that [tex]y = 0[/tex], then the time taken by the stone to reach the ground is:

[tex]723-16.087\cdot t^{2} = 0[/tex]

[tex]t = \sqrt{\frac{723}{16.087} }\,s[/tex]

[tex]t \approx 6.704\,s[/tex]

The stone takes approximately 6.704 second to reach the ground.

c) The function velocity is found by differentiating (2) once:

[tex]v = -32.174\cdot t[/tex] (3)

If we know that [tex]t \approx 6.704\,s[/tex], then the velocity when it hits the ground is:

[tex]v = -32.174\cdot (6.704)[/tex]

[tex]v = -215.695\,\frac{m}{s}[/tex]

The stone hits the ground at a velocity of -215.695 meters per second.

Answer:

no because its supposed to be 24j-36

Step-by-step explanation:

so basically im trying to say is that they did the problem wrong.

Answer:

1 penny 3 nickels 2 dimes = 36 cents

quarter

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The calculation can be done by any method that adds 6% of the original salary to the original salary. That's equivalent to multiplying the original salary by 1.06 or 106%. The attachment shows some possibilities.

Answer:

_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

4(x-3)-8=16

1. Distribute

(4x) - (4*3) - 8 =16

4x-12-8=16

Combine the 12 and the 8

4x-20=16

Add 20 to both sides

4x-20+20=16+20

4x=36

Divide by 4.

x=9

Hope this helps plz hit the crown :D

Answer:

120/2 = x/5....120 miles to 2 hrs = x miles to 5 hrs

cross multiply

(2)(x) = (120)(5)

2x = 600

x = 600/2

x = 300....the motorcyclist would travel 300 miles in 5 hrs

or u could do it this way..

120/2 = 60 miles per hr

60 * 5 = 300 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let chocolate bar cost = c and blow pops cost = b

As per given we have equations below:

13 times the first equation minus 8 times the second to eliminate b and find c:

Each chocolate bar costs $2.65

Answer:

6

Step-by-step explanation:

Answer:

6x^2+40x

Step-by-step explanation:

2x(3x+20)

6x^2 +40x

That's your answer. you won't be able to find x

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

[tex]y=3a^{\frac{x}{10}[/tex]

[tex]y=a3^{\frac{x}{10}[/tex]

Therefore the daily rate is given by [tex]3^{\frac{x}{10}[/tex].

To learn more about the daily rates visit:

https://brainly.com/question/25793394

Answer:

Step-by-step explanation:

Given:

The segment QR is horizontal as both have same y- coordinate of -6.

The distance between Q and R is the distance between x- coordinates:

Answer:

10

Step-by-step explanation:

i took the test flvs right segmant exam

Answer:

20 :3

Step-by-step explanation:

Answer:

lol currently I'm at 14, good job! I hope you have a good day, stay safe, and Happy holidays!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

16 x 100 = 1600

1600 / 40 = 40.0

Answer:

A. 40.0

Step-by-step explanation:

Answer:

sorry didnt get to find the anwser

Step-by-step explanation:

Answer:

Since angle G is  

✔ the largest

 angle, the opposite side, JH, is  

✔ the longest side

. The order of the side lengths from longest to shortest is  

✔ HJ, GH, and GJ

.

Step-by-step explanation:

Answer: the answers are

              -the largest

              -the longest side

              -HJ, GH, and GJ                  

Step-by-step explanation: put them in edge 2020, got them right Hope this helps :)

Answer:

translation

W(-10, 0)

X(-10, -8)

Y(-18, -4)

Z(-14, 8)

dilation

W(-8, 16)

X(-8, 0)

Y(-24, 8)

Z(-16, 32)

Step-by-step explanation:

In translation, all you are doing is taking each point and subtracting 6 from the x, and subtracting 8 from the y. The point of W is (-4, 8). Thus you do (-4 - 6 , 8-8) and you get the new point (-10,0). Repeat this for all the others.

In dilation you are multiply both x and y by 2. For point W you do (-4*2, 8*2) to get the new point (-8, 16). You repeat this for the remaining points.

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Answers:

1.) -x - 5

2.) 11x^2 + 5x

3.) 13x + 2y +3y^2

4.) -12x - 2

5.) -24

Sorry, it won’t somehow let me attach a picture of my work on paper :(

But hopefully this helps! :)

Answer:

2) Seems like 11x² +9x , 6) seems like 42

Step-by-step explanation:

Group the ones with the same variables :

3x²t8x²-2x+7x

Then add or subtract the ones with same variables from the left :

3x²+8x²=11x²

2x+7x = 9x

therefore; 11x²-9x

holdig several tools because he do someting or she :

I think is a person

Step-by-step explanation:

Answer:

[tex]\displaystyle s=5,000p-50,000[/tex]

Step-by-step explanation:

Linear Model

The supply of cartons of oil in January 2021 is predicted to reach 50,000 cartons for Tawfiq Trading Company with the carton selling for $20.

If we call s the supply of cartons and p the price, the ordered pair (p,s) for this condition is (20 ; 50,000).

It's predicted that the supply will fall by 20,000 if the price falls by 20%. The new supply will be 50,000-20,000=30,000 and the new price will be 0.8*$20=$16. This gives us the second point (16 ; 30,000)

The equation of a line passing through points (p1,s1) and (p2,s2) can be found as follows:

[tex]\displaystyle s-s_1=\frac{s_2-s_1}{p_2-p_1}(p-p_1)[/tex]

Substituting the given points:

[tex]\displaystyle s-50,000=\frac{30,000-50,000}{16-20}(p-20)[/tex]

Calculating:

[tex]\displaystyle s-50,000=\frac{-20,000}{-4}(p-20)[/tex]

[tex]\displaystyle s-50,000=5000(p-20)[/tex]

Operating and simplifying:

[tex]\displaystyle s-50,000=5,000p-100,000[/tex]

[tex]\mathbf{\displaystyle s=5,000p-50,000}[/tex]

Answer:

Diana finshed playing volleyball at 8am

Step-by-step explanation:

So we know she started at 5:35 AM

And she hiked for an hour and 30 minutes

so 5:35+1 hour is 6:35

and 6:35+35 is 7:05

So before playing volley ball, the time is 7:05 am

Now volley ball was 55 minutes

so 7:05+55 is 8

So 8am

Answer:

She finish playing valleyball at 8:00 am

Step-by-step explanation:

Hike at 5:30 => 1h 30 min => 7:05

valleyball at 7:05 => 55 min => 8:00

Answer:

the answer is the third option (C)

Answer:

OB - Older Brother

YB - Younger Brother

A) OB -YB = 4

B) OB * YB = 96

B) OB = 96 / YB

Multiplying A) by -1

A) -OB + YB = -4 then we add B)

B) OB = 96 / YB

YB = -4 + 96 / YB

Multiplying both sides by YB

YB^2 = -4YB +96 then re-arranging

YB^2 + 4YB -96 = 0 solving by quadratic equation

AS OF 5 years AGO:

Younger Brother's age = 8

Older Brother's age = 12

NOW THEIR AGES ARE:

8 + 4 = 12  YB and

12 + 4 = 16 OB

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

please mark me as brainliest

Answer:

3/4

Step-by-step explanation:

You just multiply the whole number by the numerator.

Answer:

8.75

Step-by-step explanation:

In order to find the unit rate, you need to divide the variable by the independent variable. In this case, your dependent variable would be $122.50 because the cost depends on how much you are buying; you're independent variable will be 14 because it doesn't depend on the other.

Divide 122.5 by 14 and your answer would be 8.75

Hope this helps!!!  :)

Also, please give me brainliest if you don't mind.  :)

If you don't want to, then it's okay.  

8.75 hope this answers your question.

The solutions to the quadratic equation x² + 12x - 1 = 0 are given by:

[tex]x = -6 \pm \sqrt{37}[/tex]

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are given as follows:

In which:

[tex]\Delta = b^2 - 4ac[/tex]

For this problem, the equation is given by:

x² + 12x - 1 = 0.

The coefficients are:

a = 1, b = 12, c = -1.

Hence:

Since [tex]\sqrt{148} = 2\sqrt{37}[/tex], the solutions are given as follows, simplifying by 2:

[tex]x = -6 \pm \sqrt{37}[/tex]

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

Answer:

y=2/5x + 2

Step-by-step explanation:

find slope by using formula between these two points: (0,2) and (-5,0); then put into slope-intercept form (y=mx+b)

Answer:

Approximately [tex]101\; \rm ft[/tex] (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

Angles:

Let the length of segment [tex]\rm BR[/tex] (vertical distance between the base of the tree and the base of the hill) be [tex]x\; \rm ft[/tex].

The question is asking for the length of segment [tex]\rm AB[/tex]. Notice that the length of this segment is [tex]\mathrm{AB} = (x + 20)\; \rm ft[/tex].

The length of segment [tex]\rm OB[/tex] could be represented in two ways:

For example, in right triangle [tex]\rm \triangle OBR[/tex], the length of the side opposite to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex] is segment [tex]\rm BR[/tex]. The length of that segment is [tex]x\; \rm ft[/tex].

[tex]\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}[/tex].

Rearrange to find an expression for the length of [tex]\rm OB[/tex] (in [tex]\rm ft[/tex]) in terms of [tex]x[/tex]:

[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}[/tex].

Similarly, in right triangle [tex]\rm \triangle OBA[/tex]:

[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}[/tex].

Equate the right-hand side of these two equations:

[tex]0.810\, x \approx 0.649\, (x + 20)[/tex].

Solve for [tex]x[/tex]:

[tex]x \approx 81\; \rm ft[/tex].

Hence, the height of the top of this tree relative to the base of the hill would be [tex](x + 20)\; {\rm ft}\approx 101\; \rm ft[/tex].

Answer:

52 , 165 , 173 is Pythagorean triple.

Step-by-step explanation:

Pythagorean triple;

a² + b² = c²

Computation:

88² + 105² ≠ 139²

39² + 80² ≠ 119²

38² + 198² ≠ 202²

52² + 165² = 173²

So,

52 , 165 , 173 is Pythagorean triple.

Answer:

1 3/4 gallon or 1.75

Step-by-step explanation:

1 (1/4) = 5/7

5/4 = 5/7

5/4 = 1.25

1.25/x = 5/7

7(1.25) = 5x

5x = 8.75

x = 1 3/4