Answer the following questions: (a) The initial value problem is described with the following equation
0.125 dy(t)/dt - y(t) = 2
with the initial condition, y(0) = 0.25. Using the explicit Euler finite difference method to find the values of y(t) at t = 0.25 and t = 0.5. (Hint: Set timestep to 0.125).

Answer:

B. the rate of change of item I is equal to the rate of change of item II

Step-by-step explanation:

rate of change = rise / run (change in y value / change in x value)

for item I: the x and y values are increasing by 1

so rise / run = 1 / 1 = 1

for item II: the x and y values are increasing by 1

so rise / run = 1 / 1 = 1

Using the range concept, for the following situation, it is described by the following inequality:

0 ≤ y ≤ 2000.

The range of a function is the set that contains all the output values that the function assumes.

In the context of this problem, we have that the input and the output are given as follows:

The weight of an amount will never assume a negative value, and the maximum weight is of 2,000 pounds, as stated in the problem, hence the range in the context of this problem is modeled by the following inequality:

0 ≤ y ≤ 2000.

More can be learned about the range of a data-set at https://brainly.com/question/10197594

#SPJ1

The mean, median number and the the outlier of the number of letters in the box is 5, 4.5 and no outlier respectively.

The complete question:

A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3.

= (9 + 2 + 2 + 11 + 1 + 8 + 8 + 2 + 6 + 1 + 7 + 3) ÷ 12

= 60 ÷ 12

= 5

In ascending order; 1,1,2,2,2,3,6,7,8,8,9,11

Median = (6 + 3) / 2

= 9/2

= 4.5

Learn more about mean and median:

https://brainly.com/question/14532771

Answer:

5

4.5

There is no outlier

Step-by-step explanation:

Using the cosine ratio, the value of AD in the diagram is: 2√3π in.

If we have the following given in a right triangle like triangle ADC in the diagram:

AC = 4π (hypotenuse)

AD = ? (adjacent side)

The cosine ratio, CAH would be applied, which is:

Cos 30 = adjacent/hypotenuse

Cos 30 = AD/4π

AD = cos 30 × 4π = √3/2 × 4π [cos 30 = √3/2]

AD = 2√3π in.

Learn more about the cosine ratio on:

https://brainly.com/question/15793827

#SPJ1

Answer:

  4

Step-by-step explanation:

You want to know the leaf unit corresponding to data value 0.014 when values are rounded to thousandths.

The leaf unit for data values in a stem-and-leaf plot is the least-significant digit of the data value, when all data values are expressed to the same precision.

The least significant digit of 0.014 is 4. The leaf unit is 4.

<95141404393>

Answer:

The answer of A= 3×5×5×5=375. In Exponential form as 3¹-5³.

The answer of B. The highest common factor of 375 and 150 is 75.

Step-by-step explanation:

hope it helps you.

Answer:

a)3 x 5 x 5 x 5 = 375

b) 75

Step-by-step explanation:

b)The gcf of 150 and 375 is 75.

Steps to find GCF

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 375

375 = 3 × 5 × 5 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 5 × 5

GCF = 75

Answer:

Step-by-step explanation:

Help this person she really needs help! XD

To determine the first interval for the histogram, we need to divide the range of the data into six equal intervals. The first interval will represent the smallest values in the data set.

To find the range, we subtract the minimum value from the maximum value in the data set. Once we have the range, we divide it by the number of intervals (six) to determine the width of each interval.

The first interval will start at the minimum value and extend to the minimum value plus the width of each interval. This will give us the range of values covered by the first interval.

Without knowledge of the specific data set provided, it is not possible to determine the exact values for the intervals. However, by following the steps outlined above, you can determine the first interval for the histogram based on the data you have.

To know more about histogram click here: brainly.com/question/16819077

#SPJ11

Answer:

roughly 8.58

Step-by-step explanation:

long division I hope this helps bye !!! have a great day!!! :D

Answer:

many

a = 0.2

b = 0.7

Step-by-step explanation:

if a÷b is less than 1, then a must be smaller than b, so you can use any two decimals as long as a is the smaller of the two.

Answer:

Step-by-step explanation:

Given function:

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

The given function has:

Find the value of b:

The function is:

The y-coordinate of the vertex is:

Answer:

Solution given:

y = -x² + bx + 3

we have

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

x = \( \frac{ - b}{2a} \)

we have

x = 10, and a = -1

Substituting value of a in -b/2a

we get

b = 20

now

The y-coordinate of the vertex is:

y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.

Answer:

Angle 5=60°

Step-by-step explanation:

Angle 4 = 180°-116° (adj angles on a str line)

= 64°

Angle 5 = 180°-64°-56° (angle sum of triangle)

= 60°

Answer:

<5 = 60 degrees

Step-by-step explanation:

<4 = 180-116 = 64 degrees

64 + 56 + <5 = 180 degrees

<5 = 180-56-64

what is the problem

Answer:

b

Step-by-step explanation:

A. you can just sum the two terms containing a "b"

3b + 10b = 13b

B. can be writen like 3 × b × 10 × b

3b. 10b = 3×b×10×b = 30×b×b = 30b²

c. same as in A.

9b +21b = 30b

D. is any of those numbers a power? if not, it's the same as in B.

9b21b = 9×b×21×b = 189b²

There are two steps of solving the equation -3(2x+6)=12.

The steps are given below.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given equation:

-3(2x+6)=12

The first step:

Solving the parenthesis first,

-6x -18 = 12

Adding 18 to both sides,

-6x = 30

Divide by -6,

x = -5

The alternate step:

-3(2x+6)=12

Divide by -3,

2x + 6 = -4

2x = -10

x = -5

Therefore, x = -5 is the solution of the equation.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ1

The expressions are evaluated to give;

13. 929.4

14. 150

Given the expressions;

3/5(-2x² - 10) - (-2x-11x)²

For x = -3 and y = -5

Substitute the value of x as -3 in the expression, we have;

3/5(-2(-3)² - 10) - (-2(-3) - 11(-3))²

expand the bracket

3/5(-18 - 10) - (6 + 33)²

find the square

3/5(-28) - 1521

This gives;

3/5 × 1549

929.4

-x² - y³ + (-x)² + (-y²)

-(-3)² - (-5)³ + (-3)² + (-5)²

Find the values

-9 + 125 +9 + 25

Add the values

150

Hence, the values are 929. 4 and 150

Learn about algebraic expressions on:

https://brainly.com/question/4344214

#SPJ1

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

Read more about Equilateral triangle construction at: https://brainly.com/question/28564643

#SPJ1

The  Bernoulli equation of given differential equation Xdydx + y = 1y² is ln (1 - x/y - x) = c

Any equation with one or more derivates and one or more terms of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)

-1/y = u

y¹/y² = u¹

xy¹ - (1 + x)y = xy²

now take the y² on other side,

xy¹/y² - (1 + x)/y = c

now replace the values by u¹,

xu¹ + (1 + x)u = x

xu¹ + u + ux = x

xu = s      ....[1]

Substitute the value of xu as s

u + xu¹ = s¹

s¹ + s = v

s - x  = t

s¹ - 1 = t¹

t¹ + 1 + t = 0

Now take the integration of both the sides,

dt/dx = - ( 1 + t)

-∫ dt/1+t =  ∫dx

-ln ( 1+ t ) = x + c

now ,put the value of t,

-in ( 1 + s - x ) = x + c

now put the value of s,

-ln ( 1 + xu - x ) = x + c

-ln ( 1 - x/y - x) = c.

Learn  more about bernoulli equation here :-

https://brainly.com/question/9506577

#SPJ4

Answer:

48

Step-by-step explanation:

55+65=120 and 2/5 of 120 is 48

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

Learn more about median on

https://brainly.com/question/14532771

#SPJ1

Answers:

==========================================================

Explanation:

The point estimate is the midpoint of the two ends. We add up the endpoints and divide by 2 to get the midpoint. We have p = 0.43 and q = 0.55, so we get the midpoint (p+q)/2 = (0.43+0.55)/2 = 0.98/2 = 0.49, then this converts to 49%. Meaning 49% is exactly at the midway point of 43% and 55%

---------

The margin of error is the distance from the midpoint to either endpoint. If we try to aim for 49%, but have some error, then we have an error of 55-49 = 6%, or we could say 49-43 = 6%; either way the margin of error is 6 percentage points.

The formula we can use is (q-p)/2 where p and q are the left and right endpoints of the interval. So in this case, we'd have,

(q-p)/2 = (0.55-0.43)/2 = 0.12/2 = 0.06 = 6% margin of error

---------

Side note: We can think of it as if 49 is the center and 6 is the radius of the circle. We want to hit the center of the circle, but we have an error of 6 (meaning that's how far we could go in either direction).

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

please mark as brainliest

Therefore, the formula for converting 35 liters to milliliters is 35000, with a conversion factor of 1000.

This is further explained below.

Generally,  The amount that is supplied in liters must be multiplied by 1000 in order to be converted to milliliters.

A conversion factor is a number that may be multiplied or divided to shift the units of measurement used for one set to another.

In situations when a conversion is required, the correct conversion factor that results in the same value must be used. For the purpose of converting inches to feet, for instance, the correct value for the conversion is 12 inches equaling 1 foot.

In conclusion, Therefore 35 liters to milliliters is given as 35000, conversion factor of 1000

Read more about the conversion factors

https://brainly.com/question/20822566

#SPJ4

Answer:

1000ml and 1 liter

Step-by-step explanation:

The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

The potential energy of the roller coaster at the top of the hill can be calculated as:

PE = mgh

where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:

PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)

At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:

\(KE = (1/2)mv^2\)

where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:

\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)

Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

for such more question on kinetic energy

https://brainly.com/question/28109294

#SPJ4

Using the standard normal distribution table or a calculator, the probability is approximately 0.8849.

Using the standard normal distribution table or a calculator, the probability is the area to the right of the z-score, which is approximately 0.9088.

Therefore, the probability that x lies between 28.24 and 33.82 kg is approximately 0.4738.

Therefore, the probability that x lies between 28.24 and 33.82 kg is approximately 0.4738.

(a) To find the probability that a fawn chosen at random has a weight less than 30.59 kg, we need to find the area under the standard normal curve to the left of the z-score corresponding to 30.59 kg.

First, we calculate the z-score using the formula:

z = (x - μ) / σ

For x = 30.59 kg:

z = (30.59 - 25.41) / 4.32 = 1.20

Now, we look up the z-score in the standard normal distribution table or use a calculator to find the corresponding probability. The probability that x is less than 30.59 kg is the area to the left of the z-score.

Using the standard normal distribution table or a calculator, the probability is approximately 0.8849.

(b) To find the probability that a fawn chosen at random has a weight greater than 19.64 kg, we need to find the area under the standard normal curve to the right of the z-score corresponding to 19.64 kg.

For x = 19.64 kg:

z = (19.64 - 25.41) / 4.32 = -1.34

Using the standard normal distribution table or a calculator, the probability is the area to the right of the z-score, which is approximately 0.9088.

(c) To find the probability that a fawn chosen at random has a weight between 28.24 and 33.82 kg, we need to find the area under the standard normal curve between the corresponding z-scores.

For x = 28.24 kg:

z1 = (28.24 - 25.41) / 4.32 = 0.66

For x = 33.82 kg:

z2 = (33.82 - 25.41) / 4.32 = 1.95

Using the standard normal distribution table or a calculator, we find the area between z1 and z2, which is approximately 0.4738.

Therefore, the probability that x lies between 28.24 and 33.82 kg is approximately 0.4738.

Learn more about probability  here

https://brainly.com/question/32117953

#SPJ11

Answer:

I'm thinking the answer is 76 but I could be wrong

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(21) + 4b = 200

63 + 4b = 200

4b = 200 - 63

4b = 137

b = 137/4

b = 34.25...so each bracelet (b) costs $ 34.25