What is the slope of the line shown?
Answers
A: 3
B:2
C:1/2
D:-3

By running this code, you will obtain the value of the mass m that satisfies the given conditions with an accuracy level of 0.1%.

To find the mass m that satisfies the given conditions, we can use the false position method (also known as the regula falsi method). This method involves finding a bracketing interval [a, b] where the function changes sign, and iteratively refining the interval to converge to the desired solution.

In this case, we want to find the mass m such that the velocity v is 35 m/s at 9 seconds. We'll set up the false position method to solve for m.

First, let's define the function f(m) as:

f(m) = gm - 35(1 - e^(-15m))

The false position method starts with an initial bracketing interval [a, b] where f(a) and f(b) have opposite signs. We can choose an initial interval by evaluating f(m) at some initial values.

Let's assume an initial interval [a, b] where f(a) is negative and f(b) is positive:

a = 0 (we can start with a mass of 0)

b = 10 (we can choose an arbitrary upper bound)

Next, we'll iterate the false position method until we reach the desired level of accuracy.

The false position iteration formula is:

m_new = a - (f(a) * (b - a)) / (f(b) - f(a))

We'll repeat this iteration until the absolute relative approximate error (ERel) is less than or equal to 0.1% (0.001).

Here's the Python code to implement the false position method:

```python

import math

def f(m):

   g = 9.8

   v = 35

   c = 15

   return g*m - v*(1 - math.exp(-c*m))

def false_position_method(a, b, max_error):

   m_new = a

   error = 1.0  # Set an initial error greater than the desired error

   while error > max_error:

       m_old = m_new

       f_a = f(a)

       f_b = f(b)

       m_new = a - (f_a * (b - a)) / (f_b - f_a)

       error = abs((m_new - m_old) / m_new) * 100  # Calculate the absolute relative approximate error

       if f(m_new) * f_a < 0:

           b = m_new

       else:

           a = m_new

   return m_new

# Set the initial bracketing interval [a, b] and the maximum error

a = 0

b = 10

max_error = 0.001

# Apply the false position method to find the mass m

m_solution = false_position_method(a, b, max_error)

print("The mass m that satisfies the given conditions is:", m_solution)

```

By running this code, you will obtain the value of the mass m that satisfies the given conditions with an accuracy level of 0.1%.

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To understand which options are members of f(4), we need to first understand what the function f is doing.

The function takes an element x from the set Z12 and returns a set of elements y from Z12 such that y^2 (y squared) is equal to x. In other words, f(x) gives us all the elements in Z12 that have a square equal to x. Now, let's apply this definition to f(4). We want to find all the elements y in Z12 such that y^2 is equal to 4. One way to do this is to simply try squaring each element in Z12 until we find one that equals 4.

However, we can also use some algebraic tricks to simplify the process. For example, we can notice that (12-2)^2 = 4, which means that -2 is a member of f(4). Similarly, we can notice that (12+2)^2 = 4, which means that 2 is also a member of f(4). We can also use the fact that (a+b)^2 = a^2 + 2ab + b^2 to see that 8 and 10 are also members of f(4), since 8+8 = 16 = 4 mod 12 and 10+10 = 20 = 8 mod 12.

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Answer:

Im not sure what type of solution you are looking for. You should be more specific. Though I will still give you some helpful solutions and you use the one you need.

Step-by-step explanation:

Factored: y=168x+67y-49

Solved for Y; -28x/11 + 49/66

Solved for X: -11y/28 + 7/24

X and Y intercepts:

X=( 7/24, 0 )

Y= ( 0, 49/66 )

I hope these answers help. Next time be more specific to what your looking for and make sure your equation is written correctly.

Answer:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

Step-by-step explanation:

Given the data:

2,7,13,18,18,20,25,27,28,32

Prepare an ordered stem plot:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

KEY:

20 = 2 | 0

Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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Answer:

3

Step-by-step explanation:

so six people want 4 slices each or 24 slices in all

1 pizza= 8 slices

24/8= 3 pizzas

if my answer helps please mark as brainliest.

So the right answer is √314 units.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

125, 27

Step-by-step explanation:

5×5×5

=125

3×3×3

=27

The length of the third side can be in range of [1, 17].

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

Given is that in triangle ABC, AB = 6 and BC = 11.

In a triangle, the sum of two sides of a triangle is always greater than the third side. This means -

AB + BC > AC

(6 + 11) > AC

AC < 17

Therefore, the length of the third side can be in range of [1, 17].

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Answer:

B. 3 x 3 x 3 x 3 = 81

Step-by-step explanation:

exponential expression 3⁴

This means multiplying 3 four times

= 3 × 3 × 3 × 3

= 81

B. 3 x 3 x 3 x 3 = 81 is the answer

Similarly, if you have 5³

This means you'll multiply 5 three times

5³ = 5 × 5 × 5

= 125

And

3¹ =

3 one time

3¹ = 3

The expression that shows how many inches tall Tess is t = i - 3.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, Tess is 3 inches shorter than Johnny. and Johnny is i inches tall. Since Tess is shorter, we will subtract.

Therefore, the expression will be:

t = i - 3

where t = Tess height.

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Answer: A) Buddhism

Step-by-step explanation:

Answer:

Thee answer is A. Buddhism. Hope this helps!

Step-by-step explanation:

The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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When selecting a random sample of people to survey, Julio should consider a few important elements. Firstly, he should ensure that his sample is representative of the population he is trying to study. This means that he should try to include a diverse range of people from different ages, genders, socioeconomic backgrounds, and so on.

Additionally, he should consider the size of his sample, as larger samples generally provide more accurate results. Finally, he should strive for a random sample, where each person in the population has an equal chance of being selected, to avoid bias and ensure that his results are generalizable to the larger population. In summary, when selecting a random sample for his survey, Julio should consider factors such as representativeness, sample size, and randomness to ensure accurate and reliable results.


1. Representativeness: Ensure the sample accurately represents the population he's studying, covering various demographics such as age, gender, and socioeconomic status.

2. Sample Size: Choose an appropriate sample size (e.g., 100 people) to ensure the survey results are statistically significant and minimize sampling error.

3. Randomization: Use a random selection method, like a random number generator or drawing names from a hat, to ensure each individual has an equal chance of being chosen.

4. Avoid Bias: Make sure the selection process is free from personal or external influence, so the sample remains truly random and unbiased.

By considering these elements, Julio can ensure his random sample provides accurate and reliable data for his newspaper article.

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The answer is B, 1/9.

To determine the result of the integral ∫(1 to ∞) x^2/(x^3+2)^2 dx, we can use the comparison test for improper integrals:

First, observe that x^2/(x^3+2)^2 < x^2/x^6 = 1/x^4 for x > 1, since the denominator in the original integrand is larger than x^6.

Now, consider the integral of 1/x^4 from 1 to ∞:

∫(1 to ∞) 1/x^4 dx = [(-1/3)x^(-3)](1 to ∞) = (-1/3)(0 - 1/3) = 1/9

Since 0 < x^2/(x^3+2)^2 < 1/x^4 for x > 1 and the integral ∫(1 to ∞) 1/x^4 dx converges, the given integral ∫(1 to ∞) x^2/(x^3+2)^2 dx also converges by the comparison test.

Hence, the answer is B, 1/9.

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Answer:

6cm

Step-by-step explanation:

Given data

Width= 4.6cm

Length= 9cm

Volume= 82.8cm^3

The expression for the volume is given as

V= lwh/3

82.8= 9*4.6*h/3

cross multiply

82.8*3= 9*4.6*h

248.4= 41.4h

h= 248.4/41.4

h= 6cm

A relation R on Z is an equivalence relation if and only if it is reflexive, symmetric, and transitive. Specifically, in this case, xRy if and only if x^2+y^2 is even.

Reflexive: for any x in Z, x^2+x^2 is even, thus xRx. So, R is reflexive.

Symmetric: for any x,y in Z, if xRy, then x^2+y^2 is even, which implies y^2+x^2 is even, thus yRx. So, R is symmetric.

Transitive: for any x,y,z in Z, if xRy and yRz, then x^2+y^2 and y^2+z^2 are both even, thus x^2+z^2 is even, thus xRz. So, R is transitive.

Therefore, R is an equivalence relation.

To describe the equivalence classes, we need to find all the integers that are related to a given integer x under the relation R.

Let [x] denote the equivalence class of x.

For any integer x, we can observe that xR0 if and only if x^2 is even, which occurs when x is even.

Therefore, every even integer is related to 0 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any even integer x.

Similarly, for any odd integer x, we can observe that xR1 if and only if x^2 is odd, which occurs when x is odd. Therefore, every odd integer is related to 1 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any odd integer x.

In summary, the equivalence classes of R are of the form {x + 2k: k in Z}, where x is an integer and the parity of x determines whether the class contains all even or odd integers.

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Answer:

diydit xukzyidy yzidi

Step-by-step explanation:

u many visits would be needed for the cost to be the same for "Pay As You Go" and Value Plans? What about Value and Divers Plans?

c. If Alvira will probably only visit the pool a few times a year, which plan

should she choose? Why?

Answer:

Step-by-step explanation:

a. Let x represent the amount of times Alvira uses the community pool.

Pay As You Go Plan: 7x

Value Plan: 3x+24

Divers Plan: 2x+35

b.

Method 1: Solve algebraically

Set the Pay As You Go Plan equal to the Value Plan and solve for x. We do this as you x represents the amount of visits, and you want to find the amount of visits needed for the two of them to be equal.

\(7x=3x+24\\4x=24\\x=6\)

Alvira would need to go 6 times for the cost to be the same for the Pay As You Go and the Value Plans.

Set the Pay As You Go Plan equal to the Divers Plan and solve for x to find the amount of visits needed for the cost to be the same for these two plans.

\(7x=2x+35\\5x=35\\x=7\)

Alvira would need to go 7 times for the cost to be the same for the Pay As You Go and the Value Plans.

Method 2: Graph

You can hand graph, graph from a calculator, or visit a graphing website such as Desmos.

Have the equations y=7x, y=3x+24, and y=2x+35. See where y=7x intersects y=3x+24 and then find where it intersects y=2x+35. You should find that the answers will be the same as Method 1, 6 times and 7 times, respectively

.

c. If Alvira will only visit the pool a few times a year, she should choose the Pay As You Go Plan. If she goes less than 6 times, then she should use this plan as it is the cheapest and therefore can save money.

Esta pregunta está incompleta. A continuación, la pregunta completa

A 10 m. DE LA CASA DE JUAN HAY UN ÁRBOL QUE DEBE SER CORTADO. JUAN TEME QUE SU CASA PUEDA SER AFECTADA AL CAER EL ÁRBOL, PERO LE ES IMPOSIBLE MEDIR DIRECTAMENTE LA ALTURA DE ÉSTE. EN ESE INSTANTE SE DA CUENTA QUE EL ÁRBOL PROYECTA UNA SOMBRA DE 4 m. Y ÉL, QUE TIENE 1,60 m. DE ESTATURA, PROYECTA UNA SOMBRA DE 80 cm. CON ÉSTOS DATOS RESOLVIÓ SU PROBLEMA Y AVERIGUÓ LA ALTURA DEL ÁRBOL, ¿CÚAL ES DICHA ALTURA?

A. 8 m

B. 6 m

C. 7 m

D. 10 m

E. 5 m

Answer: A. 8 m

Step-by-step explanation:

Este problema se puede solucionar con una regla de tres simple directa, la cual es aplicable cuando contamos con dos magnitudes directamente proporcionales, como las sombras/altura en este caso.  

La regla de tres simple directa tiene la siguiente fórmula:

A ---- B

C ---- x

x =  (B×C)÷A

En nuestro ejemplo:

sombra 0,8 m -------- altura 1,60 m

sombra 4 m    -------- altura x

(4×1,60)÷0,8= 8 m (altura del árbol)

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.

In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.

a. To find the probability distribution for Y, we can use the formula for the binomial distribution:

P(Y = y) = (nCk) * p^k * (1-p)^(n-k)

where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.

For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375

For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375

For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125

For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125

So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125

b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.

c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:

P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725

Therefore, the probability that the auditor will detect more than one error is 0.00725.

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answer:

x + 5 \(\leq\) - 19

simplified answer:

x \(\leq\) - 19 - 5

x \(\leq\) -24

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer: Choice C

\(0 \le d \le 2\)

Graph with filled in circles at d = 0 and d = 2, shading in between

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

Explanation:

d = amount downloaded in gigabytes

The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.

The largest amount allowed is d = 2. This is the cap that the ISP has set up.

So basically d can be anything between d = 0 and d = 2, including both endpoints. This means \(0 \le d \le 2\)

We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.

Answer:

2√424 + 62 ≈ 103.1825205639 ≈ 103.2 units

Explanation:

Given the two baselengths, and the perpendicular height of the trapezoid, you can actually find the perimeter through the pythangorean theorem because the perpendicular height or height that forms a right or 90 degree angle makes a right triangle(2 be exact because this is an isoceles trapezoid which has two adjacent right triangles).

This is true of the trapezoid is icosceles.

Answer:

You cannot find the perimeter with numbers given.

Step-by-step explanation:

The top length, base length, and height are not sufficient to determine the perimeter of a trapezoid

Answer:

-6

Step-by-step explanation:

Plug in -1/3for t

W(-1/3)=15(-1/3)-1=-5-1=-6

Answer:

-6

Step-by-step explanation:

substitute -1/3 into w(t) = 15t - 1

=>  w(-1/3) = 15(-1/3) - 1

=> w(-1/3) = -6

Answer:

1990

Step-by-step explanation:

Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was 24/6 = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

Answer In 1990 the mother doubles her daughter's age

Check In 1990 mother's age is/was 24 + 16 = 40 years.

In 1990 the daughter's age is/was 4 + 16 = 20 years.

Answer:

10=x

Step-by-step explanation:

3= 2x-17

+17=2x

20=2x

10=x