PLEASE HELP!!!
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.

This is not the line of best fit because the line ____________.
A.) Is close to the data points
B.) does not fit every data point exactly.
C.) Is not through the middle of the data points.

Anna could get a better fit by _____
A.) Decreasing
B.) Increasing
C.) Keeping

the y-intercept and ______ the slope.
A.) Decreasing
B.) Increasing
C.) Keeping
​

Answer:

See below ~

Step-by-step explanation:

Domain = range of x values

Range = range of y-values

Answer:

common ratio(r)= 8÷(-16/5)= -20/8= -2.5 or -5/2

Gn=G1r^(n-1)

the next term will be the 4th term, means n=4

G4= (-16/5)((-5/2)^(4-1)

=(-16/5)(-125/8)

=50

Therefore the next term will be 4th term(G4)=50.

The next term of Sequence is 50.

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio, or r.

An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

Given:

-16/5 ,8, -20,

First, common ratio(r) = 8÷ (-16/5)

                                    = -20/8

                                    = -2.5 or -5/2

Now,\(G_n=G_1r^{(n-1)\) and for n=4

\(G_4\) = (-16/5) \((-5/2)^{(4-1)\)

=(-16/5)(-125/8)

=50

Hence, the next term is 50.

Learn more about Geometric Sequence here:

https://brainly.com/question/11266123

#SPJ2

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

Answer:

a and c

Step-by-step explanation:

im just a god like that

x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x

Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that

2.11 + 6x = 11.41

6x = 11.41 - 2.11

6x = 9.3

x = 9.3/6

x = 1.55

The cost of each bottle of juice is $1.55

Answer:

1500 people

Step-by-step explanation:

Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.

60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500

Hope this helps!

The ending values in vector `x` after executing the given code snippet would be `7 3 0 8 8`.

The given code snippet appears to be incorrect and incomplete. There are a few issues:

1. The loop condition is not properly defined. Instead of `i < x.size() - 1`, it should be `i < x.size() - 1` to ensure that `i` does not exceed the valid index range of the vector `x`.

2. The increment expression `i` is missing in the loop statement, causing an infinite loop since `i` never changes.

Assuming the correct loop condition is `i < x.size() - 1` and the missing increment expression is `i++`, let's correct the code:

cpp

#include <iostream>

#include <vector>

int main() {

   std::vector<int> x = {4, 7, 3, 0, 8};

   int i;

   for (i = 0; i < x.size() - 1; i++) {

       x.at(i) = x.at(i + 1);

   }

   // Printing the modified vector x

   for (int element : x) {

       std::cout << element << " ";

   }

   std::cout << std::endl;

  return 0;

}

Now, running this corrected code will give the following output:

7 3 0 8 8

After executing the loop, the vector `x` will have the ending values `7, 3, 0, 8, 8`. The last element `x.at(4)` is assigned the value of `x.at(4 + 1)`, which is `8`.

Learn more about loop here: https://brainly.com/question/32065825

#SPJ11

(a) The probability that between 2,500 and 4,200 acres will be burned in any given year is 0.4401 and

(b) 4067.5 number of burnt acres corresponds to the 38th percentile.

What is percentile?

A number at or below which a particular % falls in its frequency distribution, or a score below which a given percentage falls, is known as the k-th percentile in statistics.

As given, the average number of acres burned by forest and range fires in a large new Mexico county is 4,300 acres per year, with a standard deviation of 750 acres.

The distribution of the number of acres burned is normal.

First to find the probability that between 2,500 and 4,200 acres will be burned in any given year,

Let, µ = 4300 , σ = 750

P(2500 < X < 4200)

z = (2500-4300)/(750) = -2.40

z = (4200-4300)/(750) = -0 13333

P(2500 < X < 4200) = P(-2.40 < Z < -0.13)

P(-2.40 < Z < -0.13) = P(Z < -0.13) - P(Z < -2.40)

P(-2.40 < Z < -0.13) = 0.4483 - 0.0082 = 0.4401

Now to find the number of burnt acres corresponds to the 38th percentile.

P(X < ?) = 0.38 ⇒ P(Z < ?) = 0.38 ⇒ Z = -0.31

X = 4300 + (-0.31)(750)

X = 4300 – 232.5

X = 4067.5

Therefore, the probability that between 2,500 and 4,200 acres will be burned in any given year is 0.4401 and

4067.5 number of burnt acres corresponds to the 38th percentile.

To know more about the percentile, click on the link

https://brainly.com/question/2263719

#SPJ4

The coordinates of point A is(-1,5) of coordinate  plane.

What is the short definition of a coordinate plane?

For point (x1,y1) and (x2,y2) on coordinate plane if m is the midpoint of these points, then coordinate of mid point  is given by

(x1+x2)/2,  (y1+y2)/ 2

Given point

B= (-5,1)

M = (-3,3)

we have to find point A, let it be (x,y)

using the above formula , midpoint m is

-3= (-5+x)/ 2                    3=  (1+y)/ 2

-3*2= -5+x                           6= 1 +y

-6 +5 = x                             6-1 =y

x = -1                                    y = 5

Thus, the coordinates of point A is(-1,5).

Learn more about coordinate plane

brainly.com/question/24134413

#SPJ9

Answer:

T

F

T

T

F

F

F

F

Step-by-step explanation:

....................

Answer:

7:5

Step-by-step explanation:

1. You put the ratio together (Dog:Cats):

21:15

2. 21:15 are factors of three, so you simplify by three and you get 7:5.

The axis and angle always uniquely defined for a rotation As we know that, From the Euler's rotation theorem

What is Angle?

An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. Angles formed by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles.

a)  As we know that, From the Euler's rotation theorem, we know that any rotation can be expressed as a single rotation about some axis. The axis is the unit vector (unique except for sign) which remains unchanged by the rotation. The magnitude of the angle is also unique, with its sign being determined by the sign of the rotation axis.

b)

\(\sqrt{3/2}x^{2} +1/2(\sqrt{3-1}x^{2} =x^{2} \\\\\sqrt{3/2}x^{2} +\sqrt{3/2} x^{2} - 1/2x^{2} =x^{2}\)

now using x = 0 will get xcube =0 but x cos x square one should be non zero because eigen vector always non zero so take aribatary

A rotation's axis and angle are always uniquely determined. As we know from Euler's rotation theorem,

To learn more about Angle visit:

brainly.com/question/14569348

#SPJ4

Answer:

Last year sales increased by 200%. This year sales decreased by 50%.

Step-by-step explanation:

a) Positive integers: 23, 4, 12, 1, 33

b) Negative integers: -10, -6, -2

c) Zero (0) is a number that is neither positive nor negative.

d) The additive inverse of -10 is 10.

what is Positive integers?

Positive integers are whole numbers greater than zero. Examples of positive integers include 1, 2, 3, 4, 5, and so on.

what is Negative integers?

Negative integers are the set of integers less than zero, including zero. They are represented by a "-" sign before the integer, such as -1, -2, -3, and so on.

what is additive inverse?

The additive inverse of a number is the number that when added to the original number, results in zero. For example, the additive inverse of 5 is -5, because 5 + (-5) = 0. Similarly, the additive inverse of -10 is 10, because -10 + 10 = 0.

To learn more about number visit:

brainly.com/question/17429689

#SPJ11

The formula to calculate the magic number in MLB is: Magic number = 163 - (number of wins by leading team) + (number of losses by trailing team) - 1.

The "magic number" in Major League Baseball (MLB) represents the combination of wins by the leading team and losses by the trailing team required for the leading team to clinch a playoff spot. To calculate the magic number, follow these steps:

1. Determine the total number of games in the season. In MLB, this is typically 162 games.

2. Subtract the number of games in the season from 163. For example, 163 - 162 = 1.

3. Subtract the number of wins by the leading team from 163. For example, if the leading team has 90 wins, 163 - 90 = 73.

4. Add the result from step 2 to the result from step 3. For example, 73 + 1 = 74.

5. Finally, subtract the number of losses by the trailing team from the result of step 4. For example, if the trailing team has 80 losses, 74 - 80 = -6. In this case, the magic number is zero, meaning that the leading team has already clinched a playoff spot.

Learn more about MLB magic number here: brainly.com/question/28764583

#SPJ4

Here are the Laplace transforms of the given functions:

(a) The Laplace transform of the function te^(-at)u(t - a) is:

L{te^(-at)u(t - a)} = 1/(s + a)^2

(b) The Laplace transform of the function (ta)e^(-at)u(t - a) is:

L{(ta)e^(-at)u(t - a)} = 2a/(s + a)^3

(c) The Laplace transform of the function 8δ(t) + (a - b)e^(-bt)u(t) is:

L{8δ(t) + (a - b)e^(-bt)u(t)} = 8 + (a - b)/(s + b)

(d) The Laplace transform of the function (t^3 + 1)e^(-2t)u(t) is:

L{(t^3 + 1)e^(-2t)u(t)} = (6/s^4) + (8/s^3) + (2/s^2) + (1/(s + 2))

Note: In the Laplace transform, u(t) represents the unit step function, and δ(t) represents the Dirac delta function.

To know more about Laplace transforms, visit:

https://brainly.com/question/31689149

#SPJ11

c) The range of the tangent function is all real numbers. This can be represented as (-∞, ∞) in interval notation

a. The domain of the cosine function (cos) is all real numbers. This can be represented as (-∞, ∞) in interval notation.

The range of the cosine function is [-1, 1]. This can be represented as [-1, 1] in interval notation.

b. The domain of the sine function (sin) is all real numbers. This can be represented as (-∞, ∞) in interval notation.

The range of the sine function is [-1, 1]. This can be represented as [-1, 1] in interval notation.

c. The domain of the tangent function (tan) is all real numbers except the values where the function is undefined, which occur when the input angle is equal to (2k + 1)π/2, where k is an integer. This can be represented as (-∞, (2k + 1)π/2) ∪ ((2k + 1)π/2, ∞) in interval notation.

To know more about interval visit;

brainly.com/question/11051767

#SPJ11

Answer:

Polynomial

\(x^4 +3x^3 -5x^2 -7x +20\\\\x^3 -2x^2 +x -12\\\\x^2 + 3x^5 -6x +12x^3\)

not a polynomial

\(4\sqrt[3]{x} -\sqrt{x} -20\\\\x^{-3}-x}^{-2}-6x^{-1}+8\\\\\frac{5}{x^3} -\frac{1}{x^2} +\frac{8}{x} -40\\\\\)

The SSS Similarity Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are similar. This theorem is also known as the Side-Side-Side Similarity Theorem or the SSS Similarity Postulate.

What is the similarity theorem of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).

SSS or Side-Side-Side Similarity.
If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
From this result, we can conclude that-
∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z
Hence, we have described the SSS similarity theorem.

To learn more about the SSS similarity theorem, visit:

https://brainly.com/question/4163594

#SPJ4

The answer is 406 apples.

2436 apples divided by 6 boxes gives you the number of apples in each box.

Answer:

35

Step-by-step explanation:

Answer:

Step-by-step explanation:

We must use system of equations:

horses = h     chickens = c

horses have 4 legs & chickens have 2 and there are 120 legs total so to set up the first part of the equation...

4h + 2c = 120

They both have only 1 head each and there are 48 heads total so to set up the second part of the equation...

h + c = 48

Now we combine the equations and solve:

4h + 2c = 120

h + c = 48

Now we solve...

4h + 2c = 120

h = 48 - c         (subtract c on both sides to single out h)

--------------------

4(48 - c) + 2c = 120

192 - 4c + 2c = 120

-192                  -192

----------------------------

-2c = -72           (divide both sides by -2)

c = 36

Now we go back and find the value of h...

h = 48 - c

h = 48 - 36

h = 12

So there are 36 chickens & 12 horses!

Answer:

D

Step-by-step explanation:

Prime factorize 60

\(\sqrt{60}=\sqrt{2*2*3*5}=2\sqrt{3*5}=2\sqrt{15}\)

The answer is A) Line y = 5x + 6 intersects the line y = −x − 7.

Here, we have,

given that,

the equations are:

y = 5x + 6

y = −x − 7

so, solving the given equations ,we get,

5x + 6 = -x - 7

6x + 6 = -7

6x = -13

x = -13/6

y = 5(-13/6) + 6

y = -29/6

The solution is (-13/6, -29/6) and that tells us that the two lines do not intersect at the origin or any of the two axis.

If they intersected at the origin, then the solution should have been (0, 0).

If they intersected at the x-axis, the solution should have been (x, 0).

If the two lines intersected at the y-axis, the solution would have been (0, y).

The answer is A) Line y = 5x + 6 intersects the line y = −x − 7.

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

complete question:

Consider the following system of equations: y = 5x + 6 y = −x − 7 Which description best describes the solution to the system of equations?

Line y = 5x + 6 intersects line y = −x − 7.

Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.

Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.

Line y = 5x + 6 intersects the origin.

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

  Learn more about Derivations

  brainly.com/question/30365299

  #SPJ11

Kaelyn wants to use yarn to make hats and scarves. Each hat requires 0.2 kg of yarn, while each scarf requires 0.1 kg. She plans to make 333 times more scarves than hats and use a total of 555 kg of yarn.

Let h be the number of hats and s be the number of scarves Kaelyn makes. The first equation represents the total yarn used, which is 0.2h (for hats) plus 0.1s (for scarves) equal to 555 kg. The second equation represents the ratio of scarves to hats, where s is 333 times greater than h, i.e., s = 333h. So the system of equations is:

0.2h + 0.1s = 555

s = 333h

Kaelyn plans to use her yarn to make hats and scarves, with hats requiring 0.2 kilograms of yarn and scarves needing 0.1 kilograms. She aims to make 333 times more scarves than hats using a total of 555 kilograms of yarn.

For more information on yarn visit: brainly.com/question/19426338

#SPJ11

The probability of selecting three marbles of the same color from the jar is 54/990, which can be simplified to 3/55

To calculate the probability of selecting three marbles of the same color, we need to consider each color separately.

The probability of selecting three red marbles can be calculated as the product of selecting the first red marble (4/11), the second red marble (3/10), and the third red marble (2/9) without replacement. This gives us (4/11) * (3/10) * (2/9) = 24/990.

Similarly, the probability of selecting three blue marbles is (3/11) * (2/10) * (1/9) = 6/990.

Lastly, the probability of selecting three green marbles is (4/11) * (3/10) * (2/9) = 24/990.

Adding up the probabilities for each color, we have (24/990) + (6/990) + (24/990) = 54/990.

Therefore, the probability of selecting three marbles of the same color from the jar is 54/990, which can be simplified to 3/55.

Learn more about adding up here: https://brainly.com/question/15488591

#SPJ11

Answer:

The Standard form becomes - y = \(-\frac{2}{3}\) x² \(-\frac{4}{3}\) x + \(\frac{70}{3}\)

Step-by-step explanation:

To find - Write the quadratic function in three forms using the three points it goes through (-1,24),(5,0), and (-4,18)

Proof -

There are there forms of quadratic equation :

1) Standard form: y = ax²+ bx + c

where the a,b, and c are constants

2) Factored form: y = (ax + c)(bx + d)

where a,b,c, and d are constants

3) Vertex form: y = a(x + b)² + c

where a, b, and c are constants

Now,

For Standard form -

Given that the quadratic equation passes through three points

(-1, 24), (5, 0), (-4, 18)

24 = a(-1)²+ b(-1) + c

⇒24 = a - b + c                       ............(1)

0 = a(5)²+ b(5) + c

⇒0 = 25a + 5b + c                       ............(2)

18 = a(-4)²+ b(-4) + c

⇒18 = 16a - 4b + c                       ............(3)

By solving equation (1), (2), (3), we get

a = \(-\frac{2}{3}\), b = \(-\frac{4}{3}\), c = \(\frac{70}{3}\)

So,

The Standard form becomes - y = \(-\frac{2}{3}\) x² \(-\frac{4}{3}\) x + \(\frac{70}{3}\)