Solve 12x < 96. Graph the solution

Check the picture below.

so following the template below, a shift 2 units to the left, means C=2

\(G(x)=\sqrt{x+2}\)

Answer:

471%

Step-by-step explanation:

If you divide 3.72 by .79 you get 4.7088...

Multiply by 100 to get your percentage is 470.88...

Rounded to nearest percentage is 471

hope this helps

Answer:

B) 204

Step-by-step explanation:

Rectangle 12 * 12 = 144

+

(2) Triangle A=h (b/2) = 12*(5/2) = 30 each

Answer:

0.3

Step-by-step explanation:

9514 1404 393

Answer:

  y = 4x +3

Step-by-step explanation:

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find the slope to be ...

  m = (11 -7)/(2 -1) = 4/1 = 4

__

The y-intercept can be found from the relation ...

  b = y -mx

Using the slope we found, and the first line of the table, we find the intercept to be ...

  b = 7 -4(1) = 3

__

Then the equation is ...

  y = mx +b . . . . . . slope-intercept form of the equation for a line

  y = 4x +3

Clay and ott are correct but stacie is wrong.

An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…

Given here, the sequence as 2,4,6..... thus this is an arithmetic sequence with common difference 2 and therefore the subsequent terms are as follows : 2,4,6,8,18......

∴ Clay and Ott predicted correctly.

Hence, Clay and ott are correct but stacie is wrong.

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According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer:

\(135^\circ\)

Step-by-step explanation:

Given that, a regular octagon is to be constructed.

To find:

Each angle in the octagon = ?

Solution:

We know that a regular triangle (polygon with 3 sides) has an interior angle of \(60^\circ\).

And a regular quadrilateral (square) has an interior angle of \(90^\circ\).

Therefore, formula for interior angle of a regular polygon with \(n\) number of sides can be given as:

\(\dfrac{n-2}{n}\times 180^\circ\)

For an octagon, we have \(n=8\).

Value of Interior angle in a regular octagon:

\(\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}\)

Kindly refer to the attached image for the angle of \(135^\circ\)

Answer:

that is all I could do. hope you have gotten your answer.good day.

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.

Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.

Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.

Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.

Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.

Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.

Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.

For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.

The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.

Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.

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a) The expression for the stable fixed point is P* = (1 + sqrt(1 - 4h)) / 2

b) There exists a fixed point for all values of h less than or equal to 1/4.

The fixed points of the model are the values of P at which dP/dt = 0. Therefore, we need to solve the equation

P(1-P) - h = 0

Expanding the left-hand side, we get

P - P^2 - h = 0

Rearranging, we get a quadratic equation

P^2 - P + h = 0

Using the quadratic formula, the two solutions for P are

P = (1 ± sqrt(1 - 4h)) / 2

a) The larger root is the stable fixed point, as it corresponds to a minimum of the fish population growth function. Therefore, the expression for the stable fixed point is

P* = (1 + sqrt(1 - 4h)) / 2

b) For the model to have a fixed point, the quadratic equation must have real roots. This occurs when the discriminant (the expression inside the square root) is non-negative

1 - 4h ≥ 0

Solving for h, we get

h ≤ 1/4

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The given question is incomplete, the complete question is:

This problem explores some questions regarding the fishery model

dP/dt =P(1−P)−h

If you have not yet run the Jupyter notebook please do so now. Find analytical expressions for the two fixed points of the model, in terms of h

a) Give an expression for the stable fixed point. You may assume that the larger fixed point is the stable one. b) For what values of h does there exist a fixed point?

Based on the information, it should be noted that the perimeter that they need is 130 yds to build up the fence.

Attached you can find a picture that will guide the explanation. We will assume that each line is supposed to be a fence. We will assume also that the diagonals that cross any subfield that has the same vegetable is unnecessary.

On the same fashion, the diagonal of the spinach-celery sector is 10. Recall that the field is a rectangle, so the perimeter of the outter fence is 2*(12+6)+2*(8+9) = 70 yds. Then, the total perimeter is given by

outter fence (70)+

fence spinach-watermelon (8) +

fence red peppers-watermelon(12)+

fence red peppers-carrots (15)+

fence carrots-tomatoes (9)+

fence celery-tomatoes(6) +

fence spinach-celery(10)

= 130 yds

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Answer: 90

Step-by-step explanation:

9 and 10 do not have a common factor either, so their lcm is 9*10 = 90.

Answer:

a - 145

b - 35

c - 145

d - 70

e - 70

f - 110

g - 55

h - 125

i - 55

j - 50

k - 50

l - 130

m - 50

n - 80

o - 50

p - 23

q - 89

r - 68

s - 157

t - 112

u - 48

v - 132

w - 132

x - 48

y - 48

z - 132

A - 48

B - 94

C - 86

D - 94

E - 47

F - 133

If the random number is less than the winning probability of 0.0028, the player wins $20 and we add that to the amount variable.

Otherwise, the player loses $1 and we subtract that from the amount variable.

To simulate this scenario in Python.

Here's a possible implementation:

import random

# Set the seed number

random.seed(77)

# Initialize the starting amount and the number of bets

amount = 18

num_bets = 0

# Loop until the player runs out of money

while amount >= 1:

   # Increment the number of bets

   num_bets += 1

   # Check if the player wins

   if random.random() < 0.0028:

       amount += 20 - 1  # The net earnings are $10

          # Otherwise, the player loses $1

   else:

       amount -= 1

# Report the total number of bets

print(f"Total number of bets: {num_bets}")

In this implementation, we use the random module in Python to simulate the outcome of each bet.

We set the seed number to 77 to ensure that the results are reproducible.

We initialize the starting amount to $18 and the number of bets to 0. We then loop until the player runs out of money (i.e., the amount variable is less than $1).

Inside the loop, we increment the number of bets by 1 and simulate the outcome of the bet using random.

random() which returns a random float between 0 and 1.

If the random number is less than the winning probability of 0.0028, the player wins $20 and we add that to the amount variable.

Otherwise, the player loses $1 and we subtract that from the amount variable.

After the loop ends, we print the total number of bets.

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Answer:

p=16?

16+5=21?

Step-by-step explanation:

16+5=21

If the acceleration of the object becomes 9m/s², the force will be 24N

From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:

y = k/x

y = force.

x = acceleration

k = constant of proportionality.

k = 36 × 6

k = 216

If the acceleration of the object becomes 9m/s², the force will be:

= 216 / 9

= 24

The force is 24N.

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Answer:

A. AB = AC because of the definition of an isosceles triangle

B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.

D. BM = CM because of the definition of a midpoint

Step-by-step explanation:

A. An isosceles triangle is a triangle with two equal sides, hence:

AB = AC because of the definition of an isosceles triangle. option A is correct.

D. Since Point M is drawn as the midpoint of BC, hence:

BM = CM because of the definition of a midpoint. Option D is correct.

E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.

AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.

C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.

Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion

ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.

D. Corresponding parts of congruent triangles are congruent. hence:

∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

Answer:

To find the y-intercept, set x = 0 and solve for y:

13 * 0 - 21 * y = 7

-21 * y = 7

y = -7/21

y = -1/3

So the y-intercept is at (0, -1/3).

Answer: -1/3

Step-by-step explanation:

13x-21y=7

y=13x/21-1/3

y=-1/3

Answer:

i think its 1 or 3 or 5 if not what i moslty think it is is    ((((  4   )))

Step-by-step explanation:

i hope this helps  may luck be with YOU!  :)

The centroid of a triangle is the point where the three medians coincide,

The centroid theorem states that the centroid is 2/3 distance from each vertex to the midpoint of the opposite side.

Given:

VG = 32

VG = 2/3 VN

VN = 3/2 VG

VN= 3/2 (32)

VN = 48

Answer:

VN= 48

Answer:

Line A overlaps line B

Step-by-step explanation:

find gradient of both A and B and use it to find the equation of both lines

final answer will reveal that both lines are the same implying that one overlaps the other