Deondre drops a nickel from a balcony that is 125 meters in the air. The function y=-5t+125 can be used to represent y, the height of the coin in meters after t seconds. Write and solve an equation to find the time it will take for the coin to hit the ground. ​

Applying Euler's method:

Let f(x, y) = 2x - 3y + 1, and consider the following recurrence relations:

[tex]\begin{cases}x_0=1\\x_n=x_{n-1}+h&\text{for }n\ge1\end{cases}[/tex]

[tex]\begin{cases}y_0=5\\y_n=y_{n-1}+f(x_n,y_n)h&\text{for }n\ge1\end{cases}[/tex]

For step size h = 0.1, we can approximate y (1.2) with just 2 steps:

[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.1=3.8[/tex]

[tex]\begin{cases}x_1=1+0.1=1.1\\y_1=3.8\end{cases}\implies y_2=3.8+f(1.1,3.8)\times0.1=\boxed{2.98}[/tex]

For step size h = 0.05, we need 4 steps:

[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.05=4.4[/tex]

[tex]\begin{cases}x_1=1+0.05=1.05\\y_1=4.4\end{cases}\implies y_2=4.4+f(1.05,4.4)\times0.05=3.895[/tex]

[tex]\begin{cases}x_2=1.05+0.05=1.1\\y_2=3.895\end{cases}\implies y_3=3.895+f(1.1,3.895)\times0.05=3.47075[/tex]

[tex]\begin{cases}x_3=1.1+0.05=1.15\\y_3=3.47075\end{cases}\implies y_4=3.47075+f(1.15,3.47075)\times0.05\approx\boxed{3.1151375}[/tex]

(Compare these to the value of y (1.2) found using the exact solution to the differential equation, about 3.22832.)

Answer:

y=3x+12

y-12=3x

x=y/3 - 4

f(y)=y/3 - 4

or

f(x)=x/3 - 4

where f(x) is the inverse of y.

Hope this helps ;]

Step-by-step explanation:

Answer:

She buys 5 pounds of sweet potatoes.

Step-by-step explanation:

Answer:

Total paint left over = [tex]\frac{13}{12}L[/tex]

Step-by-step explanation:

Given - To paint a house, 5/4 L of white paint and 1/2 L of blue paint

             were mixed. In the end only 2/3 L of the mixture were used.

To find - How many liters of paint were left over ?

Proof -

Given that,

5/4 L of white paint and 1/2 L of blue paint were mixed.

So, total mixture = [tex](\frac{5}{4} + \frac{1}{2})L[/tex]

                          = [tex]\frac{5 + 2}{4}L[/tex]

                          = [tex]\frac{7}{4}L[/tex]

⇒Total mixture =  [tex]\frac{7}{4}L[/tex]

Now,

Given that ,

In the end only 2/3 L of the mixture were used.

So, total mixture left = [tex](\frac{7}{4} - \frac{2}{3})L[/tex]

                                = [tex]\frac{21 - 8}{12}L[/tex]

                                = [tex]\frac{13}{12}L[/tex]

∴ we get

Total paint left over = [tex]\frac{13}{12}L[/tex]

Answer:

Step-by-step explanation:

= 13/20*100

= 60

David spent 60% of his money which was in his wallet.

Answer:

252 cupcakes were mocha flavored

Step-by-step explanation:

(63*400)/100 = 25200/100 = 252

Answer:

252 cupcakes were mocha flavored.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

15/20 times 5 is 75/20, simplified that is 3 15/20

16/20 times 5 is 80/20, simplified that is 4

Answer:

[tex]b-2[/tex]

Step-by-step explanation:

[tex](3b+4) + (-2b-6)[/tex]

We will need to add like terms. 3b and -2b are like terms and 4 and -6 are like terms.

Let's add 3b and -2b.

[tex]b+4-6[/tex]

We can now add the like terms 4 and -6.

[tex]b-2[/tex]

Answer:

B

Step-by-step explanation:

if half of the trail mix is split in to 4, let's say the same for the other half. then there will be 8 bags.

Answer:

Step-by-step explanation:

x = 3, y = -3, & z = 0.

Answer:

the answer is A

Step-by-step explanation:

add 17 to both sides

Answer:

8

Step-by-step explanation:

A complete circle is 360 degrees so we divide 360/45 and that is equal to 8

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Variable costs are costs that change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over all units produced. They can also be considered normal costs. Fixed costs and variable costs make up the two components of total cost. 

Hope it helps you!

Mark me brainliest pls....

Follow me!:)

Answer:

105m by 105m

Step-by-step explanation:

multiply 7 x 15 to get 105.

Hope it helps!!! :)))

Answer:

A. (y - 2) = 3/2 ( x + 1)

Explanation:

The point-slope formula is ( y - y1) = m ( x - x1). Just distribute the given where m is 3/2, x1 = - 1 and y1 = 2.

Answer:

just add 386+165 which equals 551

Step-by-step explanation:

Answer:

from 3 o’clock until 3:20, the minute hand will move 1/3 of the way around the circle or 120 degrees. But the hour hand has also moved 1/3 of the way to the next number, or 10 degrees.

Answer:

42deg

Step-by-step explanation:

Let's see.

We'll consider 12:00 the "starting position"

The minute hand moves with the speed of 360deg in an hour, so 6deg per minute.

The hour hand moves with the speed of 360deg in 12hours, so 30deg per hour, so 0.5deg per minute.

at 3:24, the minute hand has moved 24*6deg=144deg from the starting position, while the hour hand has moved by 3*30deg + 24*0.5deg = 102deg

The absolute difference of the angles is 144deg-102deg = 42deg and it's the angle between the hands.

Answer:

it's b

Step-by-step explanation:

correct on edge!

The equivalent expression is tanx.

We have given that,

tan(x – pi)

We have to determine the expression equivalent to the given expression

tan(x)=sinx/cosx

[tex]=\frac{\sin \left(x\right)}{\cos \left(x\right)}[/tex]

[tex]=\tan \left(x\right)[/tex]

Therefore the equivalent expression is tanx.

To learn more about the equivalent expression visit:

https://brainly.com/question/24734894

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Answer:

volume for cube = length cubed I.e. 6x6×6 = 216

Answer:

the top left

Step-by-step explanation:

i did the math

Answer:

-A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

-A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Please give me brainliest, I really need it.

The scenarios in which the statistics are misleading; option 1 and 3.

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

The  numbers which summarize information about the sample are called statistic.

The scenarios in which the statistics are misleading;

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Learn more about z-statistic here:

https://brainly.com/question/1640298

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9514 1404 393

Answer:

Step-by-step explanation:

1. x is the hypotenuse of a right triangle with legs 4.4 and 8.3. The Pythagorean theorem can be used.

  x² = 4.4² +8.3² = 19.36 +68.89 = 88.25

  x = √88.25 ≈ 9.394

  x = 9.4 . . . . rounded to tenths

__

2. The product of segment lengths to the near and far circle intercept is the same for both secants.

  7(7+11) = 6(6+x)

  7(18)/6 = 6 +x . . . . . divide by 6

  21 -6 = x = 15 . . . . . subtract 6

Answer:

163 I would think

Step-by-step explanation:

Answer:

You have an right angle which is like an L and is 90 degrees. A acute angle and it just like if you was to close a L just a little bit you would get an acute angle which is 30 degrees. Last you have the the obtuse angle it´s like is you pulled the top of L and pulled it back a little bit you would get that. I mean those are the basic angles.

Step-by-step explanation:

Answer:

well the highest number you could get in a dice is 6 and the lowest is a 1

6=100%

5=85%

4=65%

3=45%

2=25%

1=5%

so the % chance of you getting a 4 or 5 is around 70%

Answer:

You have it correct, it is the 3rd one.

Step-by-step explanation:

The commutative property is the equation, flip-flopped. So, if you had 1+8 = 8+1, that would be right.

Answer:

3rd one.....

Step-by-step explanation: