9. Write the equation of the line in slope-intercept form that has the following points: (2, -1)(5,-3)
O y=-2x+1/3
Oy = -2x + 1
Oy=-2/3x+ 1
Oy=-2/3x + 1/3

Answer:

3$

Step-by-step explanation:

If the chicken was 4 times the amount of potatoes you would have to divide 12 by 4 to get you answer which would be 3$

12/4 = 3

potato's = 3$

to check you answer you would do 3 times 4 and if it gives you the cost of chicken (12) then it is correct.

Answer: $3

Step-by-step explanation:

If the chicken is 4 times as much, you can divide the cost of the chicken, which is $12. So, 12 divided by 4 is 3. The potatoes cost 3 dollars.

Answer:

12

Step-by-step explanation:

area of a rectangle is equal to one side multipyed by the other one

here we have an area and one side so only thing we have to do is divide area by the side we have and we will get the other side (lenght)

:)

The option D is correct answer which is has minimal assumptions.

What is chi-square test?

When the sample sizes are big, the statistical hypothesis test known as the chi-squared test is employed in the study of contingency tables. It is also known as chi-square or χ2 test.

The formula for chi-square test is,

χc2=∑ (Oi−Ei)²/ Ei

Where:

c = Degree of freedom

O = Observed value

E = Expected value.

What are the other inferential statistical procedures?

The three most popular inferential statistics techniques are regression analysis, confidence intervals, and hypothesis testing. Interestingly, these inferential techniques can generate summary values that are comparable to those produced by descriptive statistics like the mean and standard deviation.

Hence, the one advantage of the chi-square test over most other inferential statistical procedures is that it has minimal assumptions.

To learn more about chi-square test from the given link.

https://brainly.com/question/4543358

#SPJ4

Complete question is,

One advantage of the chi-square test over most other inferential statistical procedures is that it.

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

Answer:

K= -10

Step-by-step explanation:

The integral for finding the area of the region is:

A = ∫[lower bound]^[upper bound] [rightmost bound] dy

A = ∫[1/6]^∞ [6] dy

To sketch the region enclosed by the curves and determine whether to integrate with respect to x or y, let's analyze the given equations:

y = 1/x

y = 1/x^2

x = 6

To begin, let's plot these curves on a coordinate plane:

First, we can observe that both equations involve hyperbolas. The equation y = 1/x represents a hyperbola that passes through the points (1,1), (2,0.5), (-1,-1), etc. The equation y = 1/x^2 represents a hyperbola that passes through the points (1,1), (2,0.25), (-1,1), etc.

Next, the equation x = 6 represents a vertical line passing through the point (6,0) on the x-axis.

Now, to determine the enclosed region, we need to find the limits of integration.

Since the curves intersect at certain points, we need to find these points of intersection. Equating the two equations for y and solving, we get:

1/x = 1/x^2

Multiplying both sides by x^2 yields:

x = 1

Hence, the curves intersect at x = 1.

Therefore, the region enclosed by the curves is bounded by the following:

The curve y = 1/x,

The curve y = 1/x^2,

The vertical line x = 6, and

The x-axis.

To determine whether to integrate with respect to x or y, we need to consider the orientation of the curves. In this case, the curves are defined in terms of y = f(x). Thus, it is more convenient to integrate with respect to y.

To find the area of the region, we need to set up the integral bounds. Since the region is bounded by the curves y = 1/x and y = 1/x^2, we need to find the limits of y.

The lower bound is determined by the curve y = 1/x^2, and the upper bound is determined by the curve y = 1/x. The vertical line x = 6 acts as the rightmost boundary.

Therefore, the integral for finding the area of the region is:

A = ∫[lower bound]^[upper bound] [rightmost bound] dy

A = ∫[1/6]^∞ [6] dy

Now, we can proceed with evaluating this integral to find the area of the enclosed region.

Learn more about area from

https://brainly.com/question/25292087

#SPJ11

Answer:

(X+3)(x+2)(x-1)(x-30)

Step-by-step explanation:

Haven’t done this in a while so I may be incorrect but that’s factored form

Answer:

c = 2.5m + 3

Step-by-step explanation:

because m is number of miles it is just like x in y = mx + b

c is basically y because it is the result

the equation is

c = 2.5m + 3

2.5 per mile and adding 3 for each trip

when graphing this your y intercept is at 3

2.5 is also 5/2 when turned into a fraction so you go up 5 and left 2 to find the next point on the line

Answer: 30

Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...

a² + b² = c²

24² + 18² = c²

576 + 324 = c²

c² = 900

\(\sqrt{900}\)

30

30 = c

I hope this helps!

The balloons were never at the same altitude because the gold balloon was already 1515 meters above the purple balloon at the start.

Let t be the number of seconds since the balloons took off, and Hp(t) and Hg(t) be the altitude of the purple and gold balloons respectively at time t.

We know that:

Hp(t) = 0 + 2.5t (the purple balloon starts at sea level and climbs at a rate of 2.5 m/s)

Hg(t) = 1515 + 222t (the gold balloon starts 1515 m above sea level and climbs at a rate of 2*22 m/s)

We want to find the time t when the balloons are at the same altitude, so we can set Hp(t) = Hg(t) and solve for t:

0 + 2.5t = 1515 + 222t

2.5t = 1515 + 222t

2.5t - 222t = 1515

0.5t = 1515 - 1515

t = 0

So the balloons were never at the same altitude because the gold balloon was already 1515 meters above the purple balloon at the start.

To learn more about linear equations visit: brainly.com/question/11897796

#SPJ4

Note that the above inequality fits the given information.

Given the solutions and non-solutions provided, we can write an inequality as follows:

x < -1.5 OR x ≥ -5

This inequality states that x is less than -1.5 or greater than or equal to -5.

The solutions -2/3, -1.5, and -5 satisfy the inequality.

The non-solutions 2, 0, and 100 do not satisfy the inequality.

Therefore, this inequality fits the given information.

An inequality is a mathematical statement that compares two values using symbols such as <, >, ≤, or ≥. It is important in mathematics and real-world applications to express relationships between quantities and make comparisons, such as in determining ranges or constraints.

Learn more about inequality  at:

https://brainly.com/question/30228778?

#SPJ1

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

Learn more about Euler's method here

https://brainly.com/question/21245378

#SPJ11

Answer:

2x4=8+3=11

Step-by-step explanation:

first multiply 2 times 4 equals 8 and add 3 which equals 11.

Answer: 1/3

Step-by-step explanation:

Answe3/9

Step-by-step explanation: You just subtract the 2 from the 5 because the denominators are the same. You subtract because there is one subtraction sign and one addition sign.

The area of the given polygon is 30 square units.

The area of a triangle can be calculated using the formula 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)] where (x₁, y₁), (x₂, y₂) and (x₃, y₃) are the coordinates of its vertices. This formula is also useful in finding the area of any polygon with given coordinates.

The area of the given polygon can be calculated by the expression of the area of triangle as 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)].

The given polygon can be divided into two ΔABC and  ΔACD,

Then, the area is given as follows,

Area of ΔABC +  Area of ΔACD

= 1/2|[-3(4 - 1) + -3(1 - 1) + 7(1  - 4)]| + 1/2|[-3(1 - 4) + 7(4 - 1) + 7(1 - 1)]|

= 1/2 × 30 + 1/2 × 30

= 30

Hence, the area of the given polygon is 30 square units.

To know more about area of triangle click on,

https://brainly.com/question/19305981

#SPJ1

Answer:

x = 144

Step-by-step explanation:

3/4x + 24 = x - 12

3/4x - x = -12 - 24

3/4x - 4/4x = -36

-1/4x = -36

x = -36/-1/4

x = 144

Answer:

see explanation

Step-by-step explanation:

The statements tells us that w is inversely proportional to v and the equation relating them is

v = \(\frac{k}{w}\) ← k is the constant of proportion

To find k use the condition v = 9, w = 5, that is

9 = \(\frac{k}{5}\) ( multiply both sides by 5 )

45 = k

v = \(\frac{45}{w}\) ← equation of proportion

When w = 4 , then

v = \(\frac{45}{4}\) = 11.25

Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

Learn more about allele frequency here

https://brainly.com/question/6139888

#SPJ4

Answer:

18

Step-by-step explanation:

Bisecting a line means to cut it at the middle.

Meaning we can set 3x = 27.

x=9

2x=18

Brainliest Please

Answer:

12 ,,............,.,...,,,.

The value of x is 12 (Option a) if m∠2 = 6x - 12.

The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.

From the given information, we have:

m∠2 = 6x - 12

Since all angles of an equilateral triangle are equal, we can set up the equation:

m∠2 = m∠1 = m∠3

Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).

We can equate the measures of the angles:

y = 6x - 12

Now, let's solve this equation to find the value of x:

6x - 12 = y

Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).

6x - 12 = 60

Adding 12 to both sides:

6x = 72

Dividing both sides by 6:

x = 12

Therefore, the value of x is 12.

So, the correct option is: (a) 12

To know more about value, refer here:

https://brainly.com/question/22572776

#SPJ2

1. Quadratic monomials.

2.  Biquadratic five-term polynomials.

3. Quadratic trinomials.

4. x³ + 3x² - 5x - 4

5. -\(x^{5}\) + 4\(x^{4}\) +2x³ + 2x - 7

6. - x² + 5x + 9

7. y² - 3y - 9

8. 5(x³ + x)

9. 2x² + 2x -5

Algebraic expressions called polynomials only have non-negative integer powers for their variables. A polynomial is, for instance, 5x² - x + 1. The polynomial 3x³ + 4x + 5/x + 6\(x^{3/2}\) is not a polynomial since one of the powers of "x" is a fraction and the other is negative.

Expressions with one or more terms that have a non-zero coefficient are called polynomials. Variables, exponents, and constants make up polynomial terms. The "leading term" refers to the first term of the polynomial in standard form.

Here in the given question,

We can see the highest degree of the variable and we can determine the name of each polynomial.

Likewise, we can just arrange the expressions as per the highest value of the power of the variable.

And simplify the expression by adding or subtracting the like terms.

To know more about polynomials, visit:

https://brainly.com/question/14488034

#SPJ1

(A) A person's chance of experiencing neither symptom is 30%. (b) Seventy percent of people are likely to experience at least one symptom. (c) If a person has symptom B, there is a 25% chance that they will also have both symptoms.

(A) The individual exhibits neither symptom:

Let's write P(A) for the likelihood of having symptom A and P(B) for the likelihood of having symptom B. Given that 20% of people only have symptom A, 40% only have symptom B, and 10% only have both symptoms, the likelihood of having neither symptom can be determined as follows:

100% - P(A) - P(B) - P(both symptoms) - P(neither symptom)

P(none of the symptoms) = 100% – 20% – 40% – 10% = 30%

As a result, there is a 30% chance that a randomly selected person will exhibit neither symptom.

(b) At least one symptom is present in the person.

We can use the complement rule to calculate the likelihood that at least one symptom will be present. Neither symptom is the opposite of having at least one symptom. Because of this, P(at least one symptom) = 1 - P(neither symptom), and P(at least one symptom) = 1 - 0.30 = 0.70.

Therefore, there is a 70% chance that a randomly selected individual has at least one symptom.

(c) The person has both symptoms, given that they have symptom B:

To calculate this conditional probability, we use the formula:

P(both symptoms | symptom B) is equal to the product of P(both symptoms and symptom B) / P(symptom B).

We are informed that 40% of people only have symptom B whereas 10% have both symptoms. P(both symptoms | symptom B) = (10% / 40%) = 0.25 as a result.

Given that they have symptom B, a randomly selected person has a 25% chance of having both symptoms.

Learn more about probability here: https://brainly.com/question/32117953

#SPJ11

Answer:

CD = 16

Step-by-step explanation:

We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE

We are given BE, and we found the length of AB, so we can substitute and solve for AE:

AB = AE + BE

17 = AE + 2

AE = 15

Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.

Now, we can use the pythagorean theorem to find the length of CE.

a^2 + b^2 = c^2

We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:

CE^2 + AE^2 = AC^2

CE^2 + 15^2 = 17^2

CE^2 + 225 = 289

CE^2 = 64

CE = 8

Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.

Again, using segment addition postulate, we can say:

CE + DE = CD

CD = 8 + 8

CD = 16

Step-by-step explanation:

f(x) = 2x - 1

Putting value of x = - 8

f(-8) = 2(-8) - 1

= - 16 - 1

= - 17

Answer:

B

Step-by-step explanation:

given f(x) then f(x ± a ) is a horizontal translation of f(x)

• if + a , then a shift left of a units

• if - a then a shift right of a units

here g(x) is the graph of f(x) moved 2 units right , then

g(x) = (x - 2)²

A.  The film's overall message seems to emphasize the importance of personal growth, self-discovery, and finding one's own path amidst societal and religious expectations.

B. Both films offer nuanced perspectives on the role of Islam in society, encouraging viewers to critically examine the complexities and implications of religious beliefs and practices.

Among the three films mentioned, "Year of the Elephant" and "Bab el-Oued City" feature representations of Islam. Let's discuss how Islam is portrayed in these two works, compare and contrast their depictions, and analyze how these representations contribute to the overall messages of the films.

"Year of the Elephant": "Year of the Elephant" is a Moroccan film directed by Hamid Bennani. It is based on a novella by renowned Moroccan author Tahar Ben Jelloun. The story revolves around Zahra, a young woman struggling with her faith and personal identity. Islam is a central theme in the film, explored through Zahra's spiritual journey.

Islam is portrayed as a deeply ingrained cultural and religious force in Zahra's life. Zahra grapples with societal expectations and norms associated with being a Muslim woman. The film highlights traditional interpretations of Islam that restrict women's freedom and agency. There is a focus on the pressures faced by Zahra, including her arranged marriage and adherence to conservative gender roles prescribed by her community.

The portrayal of Islam in "Year of the Elephant" raises questions about the intersection of religion, culture, and personal autonomy. It examines the tension between adhering to religious traditions and pursuing individual desires. The film's overall message seems to emphasize the importance of personal growth, self-discovery, and finding one's own path amidst societal and religious expectations.

"Bab el-Oued City": "Bab el-Oued City" is an Algerian film directed by Merzak Allouache. The narrative revolves around societal tensions and political unrest in Algeria during the 1990s. While Islam is not the primary focus of the film, it is depicted as an influential aspect of Algerian society, particularly within the context of political and ideological struggles.

In "Bab el-Oued City," Islam is portrayed through various characters representing different perspectives and interpretations. Some characters are depicted as devout Muslims, engaging in rituals and prayers, while others exploit religion for personal gain or political manipulation. There is a portrayal of religious fundamentalism and its impact on society, highlighting the extremist views held by certain individuals.

The film explores the complex relationship between Islam, politics, and social dynamics. It sheds light on how religious ideologies can be manipulated to serve political agendas, leading to division and conflict within communities. The representation of Islam in "Bab el-Oued City" serves to provoke thought about the consequences of radicalization and the need for societal unity amidst ideological differences.

While both films touch upon the theme of Islam, their portrayals differ in focus and approach. "Year of the Elephant" primarily explores the personal struggles and identity crisis of an individual Muslim woman within a traditionalist society. On the other hand, "Bab el-Oued City" delves into the broader socio-political implications of Islam within a country undergoing significant turmoil.

In terms of their overall messages, "Year of the Elephant" emphasizes individual liberty and self-discovery within the confines of religious and societal expectations. It encourages viewers to question and challenge prevailing norms to find personal fulfillment. Conversely, "Bab el-Oued City" draws attention to the dangers of extremism and manipulation of religious beliefs for political purposes. It underscores the importance of understanding and bridging ideological divides to foster harmony and progress.

Both films offer nuanced perspectives on the role of Islam in society, encouraging viewers to critically examine the complexities and implications of religious beliefs and practices.

Learn more about growth from

https://brainly.com/question/30611694

#SPJ11

Answer:

A.$3,600

Step-by-step explanation:

24,000*15% = 3600

or

24,000*0.15 = 3600

Answer:

A

Step-by-step explanation:

24000x15/100

according to question the answer is (E) 35.

First, let's simplify the expression for x:

x = (21)(3^7) - (112)

x = 3^3(3^4)(7) - 2^4(7)

x = (7)(3^4)(3^3 - 2^4)

x = (7)(3^4)(65)

Now, we need to check which of the given integers does not divide x. We can use the divisibility rules for each one:

A. 7: x is divisible by 7 since it has a factor of 7.

B. 11: We can use the alternating sum of digits rule for divisibility by 11. Adding the digits of x, we get:

1 + 4 + 8 + 5 = 18

Then, 1 - 8 + 5 = -2, which is not divisible by 11. Therefore, 11 does not divide x.

C. 15: We can use the divisibility rule for 3 and 5 to check if 15 divides x. Adding the digits of x, we get:

1 + 4 + 8 + 5 = 18

Since 18 is divisible by 3, x is also divisible by 3. However, x does not end in 0 or 5, so it is not divisible by 5. Therefore, 15 does not divide x.

D. 17: We can use the divisibility rule for 17, which states that we need to subtract 5 times the units digit from the remaining digits, and the result should be divisible by 17. The units digit of x is 5, so we have:

3^4(6) - 2^4 = 96

Then, 9 - 5(6) = -21, which is divisible by 17. Therefore, 17 divides x.

E. 35: We can use the divisibility rule for 5 and the fact that x is not divisible by 7 (since it has a factor of 7). Since x ends in 5, it is divisible by 5 if and only if it is not divisible by 7. Therefore, 35 does not divide x.

To know more about expression visit:

brainly.com/question/28170201

#SPJ11