The diagram below shows a quadratic curve. Determine the equation of the curve, giving your answer in the form ax²+bx+c y = = 03 where a, b and care integers. y i 32 (2.0) (8.0)​

The sector is a part of the circle. Then the area of the sector will be 161 square centimeters.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/3 radians and a radius of 12.4 m.

Then the area of the sector will be given as

\(\rm Area\ of\ sector = \dfrac{\theta}{2\pi} \ \pi r^2\\\\\\Area\ of\ sector = \dfrac{\pi / 3}{\pi } *\pi * 12.4^2 \\\\\\Area\ of\ sector = 161.01 \approx 161\)

The area of the sector is 161 square m.

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Answer:

Step-by-step explanation:

12/15 or simplified: 4/5

Answer:

DC and AB

Step-by-step explanation:

I just did it

Answer:

dc and ab

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

1. Combine like terms: -14x -2 = -14x -4

2. Add 2 on both sides to isolate x: -14x = -14x -2

3. Add 14x on both sides: 0 = -2

There is no solution because 0 does not equal to -2.

Based on the given conditions, we can conclude the following:

The number is greater than 40.

The number is not on a red mailbox.

The number has more ones than tens.

Let's analyze these conditions:

The number is greater than 40: This means the number could be any number greater than 40, such as 41, 42, 43, and so on.

The number is not on a red mailbox: This condition implies that the number cannot be associated with a red mailbox, but it doesn't provide any specific information about the number itself.

The number has more ones than tens: This condition suggests that the number must have a greater quantity of ones digits compared to tens digits. For example, 41 has more ones than tens, while 14 does not.

Considering all of these conditions, we can conclude that any number greater than 40 that has more ones than tens and is not associated with a red mailbox would satisfy the given criteria.

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Answer:

The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Hope this helped :)

Step-by-step explanation:

Answer:

Find the area to all sides.

Step-by-step explanation:

Find the area of all the triangles (b*h*1/2), and find all the area's of the squares/rectangles (b*h), then add all the areas together.

Answer:

Step-by-step explanation:

Let age of Jane = x

Mary's age = x + 1

Sum of both their ages = 15

x + x +1 = 15

2x + 1 = 15

Solution:

Subtract 1 from both sides

2x = 15- 1

2x = 14

Divide both sides by 2

x = 14/2

x = 7

Jane's age = 7

Mary's age = 8

Answer:

48 months

Step-by-step explanation:

12 times 4 48

Answer:

48 months

There's 12 months in 1 year.

So we would multiply 12 months by 4 years to get 48 months

Answer:

196

Step-by-step explanation:

2 times 14 times 7=196

Hope this helps!

Answer:

-25 and 2

Step-by-step explanation:

Answer:

-2 and 25

Step-by-step explanation:

-2*25=-50

25+(-2)=23

The solution is

1) The diameter of Circle A = 12 feet

2) The diameter of Circle B = 8 feet

3) The radius of Circle A = 6 feet

4) The radius of Circle B = 4 feet

5) The radius and diameter of the two circles A and B are in the ratio

    A : B = 3 : 2

6)

a)The proportion Circumference of Circle P = dπ , where d is the diameter

P = 3π

b) The circumference of Circle P is 9 cm

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the two circles be A and B

The radius of the circle = ( diameter of the circle ) / 2

Substituting the values in the equation , we get

1) The diameter of Circle A = 12 feet

2) The diameter of Circle B = 8 feet

3) The radius of Circle A = 6 feet

4) The radius of Circle B = 4 feet

5) The ratio of radius of circle A to radius of circle B is given by

A : B = radius of Circle A : radius of Circle B

A : B = 6 : 4

A : B = 3 : 2

Therefore , the radius of circle A and circle B are in the ratio 3 : 2

The diameter of circle A to diameter of circle B is given by

A : B = diameter of Circle A : diameter of Circle B

A : B = 12 : 8

A : B = 3 : 2

Therefore , the diameter of circle A and circle B are in the ratio 3 : 2

6)

a)

The circumference of circle Q = 21 cm

The formula to find the circumference is C = 2πr

Now , the diameter of the circle = 7 cm

So , the radius r of the circle = 7 / 2 cm

The radius r of the circle = 3.5 cm

Substituting the values in the equation , we get

2πr = 21 cm

2 x π x 3.5 = 21

7π = 21

Divide by 7 on both sides , we get

π = 3

Now , to find the proportion to calculate the circumference of circle P

The diameter of circle P = 3 cm

The radius of circle P = 3/2

The radius of circle P = 1.5

Now , the circumference of circle P = 2πr

Substituting the values in the equation , we get

P = 2 x 1.5 x π

P = 3π

The proportion Circumference of Circle P = dπ , where d is the diameter

P = 3π

b)

The circumference of circle P = 3π

Hence ,

1) The diameter of Circle A = 12 feet

2) The diameter of Circle B = 8 feet

3) The radius of Circle A = 6 feet

4) The radius of Circle B = 4 feet

5) The radius and diameter of the two circles A and B are in the ratio

    A : B = 3 : 2

6)

a)The proportion Circumference of Circle P = dπ , where d is the diameter

P = 3π

b) The circumference of Circle P is 9 cm

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Answer:

3

Step-by-step explanation:

I believe it is 3 because you are multiplying each number by 3 to get your bigger shape

\(\text{Plug in and solve:}\\\\2(10)(-5) + -3(10(-5))\\\\2(-50) + -3(10(-5))\\\\2(-50) + -3(-50)\\\\-100+ -3(-50)\\\\-100+150\\\\\boxed{50}\)

Answer:

What technology devices do you use everyday?

Step-by-step explanation:

Christian is trying to see which technology device is the most popular. The first question doesn't ask about different types of technology devices, but rather the amount of time spent on them. The second asks what they are used for and the third asks if you have a technology device. Neither of these questions answers which device is the most popular, except for the fourth or last option. Which technology devices are used everyday can help him see which one is the most popular.

Answer:

What technology devices do you use everyday?

Step-by-step explanation:

Christian is trying to see which technology device is the most popular. The first question doesn't ask about different types of technology devices, but rather the amount of time spent on them. The second asks what they are used for and the third asks if you have a technology device. Neither of these questions answers which device is the most popular, except for the fourth or last option. Which technology devices are used everyday can help him see which one is the most popular.

The length of an arc with central angle of 45 degrees and radius of 8 inches is 6.3 inches.

length of an arc = ∅ / 360 × 2πr

where

Hence,

r = 8 inches

∅ = 45 degrees

Therefore,

length of an arc = 45 / 360 × 2 × 3.14 × 8

length of an arc = 2260.8 / 360

length of an arc = 6.28 inches

length of an arc = 6.3 inches

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Answer:

b

Step-by-step explanation:

Operant conditioning is the theory that behavior is influenced by consequences. Behaviorists believe that behavior is shaped through reward and punishment, so a behavior that is followed by a favorable outcome is likely to be repeated while a behavior that is followed by an unfavorable outcome is less likely to be repeated.

The example of operant conditioning among the given options is: when a dog learns to roll over toy being rewarded for the behavior.

Operant conditioning, a concept developed by B.F Skinner, consists of three elements: the antecedent (the stimulus that comes before the behavior), the behavior, and the consequence.

In the example given in the question, the antecedent is the dog being taught to roll over, the behavior is the dog rolling over, and the consequence is being rewarded with a toy.

When a dog learns to roll over toy being rewarded for the behavior is an example of operant conditioning.

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Answer:

\(\frac{dr}{da} = \frac{3a^2 + 2a + 7}{2a^{\frac{3}{2} }}\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Calculus

Derivatives

Derivative Notation

The derivative of a constant is equal to 0

Basic Power Rule:

Quotient Rule: \(\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}\)

Step-by-step explanation:

Step 1: Define

\(r = \frac{a^2+2a-7}{\sqrt{a}}\)

Step 2: Rewrite

\(r = \frac{a^2+2a-7}{a^{\frac{1}{2} }}\)

Step 3: Differentiate

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

The flour needed for 18 dozen cookies is 4.5 pounds.

The number of cookies that can be made with 10 pounds of flour is 40 cookies.

The first step is to determine the flour needed for 1 dozen cookies.

Flour needed = 3/12

Flour neeeded for 18 dozens = 3/12 x 18 = 4.5 pounds

The first step is to determine the number of cookies that can be made with one pound of flour:

12/3 = 4

Number of cookies that can be made iwth 10 pounds of flour = 4 x 10= 40 cookies

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Answer

967.1  squared cm, multiply area of base by two, and perimeter by 15.

The equation for the plane tangent to the surface z = x’y + xy² + Inx+R at (1,0, R) is is: z - R = x - 1 + y

To find the equation of the tangent plane to the surface z = x'y + xy² + ln(x) + R at the point (1,0,R), we need to first compute the partial derivatives of the function with respect to x and y, which represent the slopes of the tangent plane in the x and y directions.

The partial derivative with respect to x is: ∂z/∂x = y² + y' + 1/x The partial derivative with respect to y is: ∂z/∂y = x² + x' Now, we evaluate the partial derivatives at the given point (1,0,R): ∂z/∂x(1,0) = 0² + 0 + 1 = 1 ∂z/∂y(1,0) = 1² + 0 = 1

The tangent plane's equation can be given by: z - R = (1)(x - 1) + (1)(y - 0) Thus, the equation of the tangent plane is: z - R = x - 1 + y

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Answer:

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

The factored form of the trinomial = (x+2) (x+8)

Step-by-step explanation:

ax² + bx + c = 0

This is in the form of a trinomial algebraic expression

Given trinomial: = ax² + 10x + 16

Where a = 1, b= 10, c= 16

To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.

Using factorisation method:

ac = a×c = 1×16 = 16

Let's find the factors of 16 whose sum gives +10 and product gives +16

Factors of 16 = 1, 2, 8, 16

+2 + +8 = +10

+2 × +8 = +16

The factors are +2 and +8

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

x² + 10x + 16 = x + 2x + 8x + 16

x² + 10x + 16 = x(x+2) + 8(x+2)

= (x+2) (x+8)

The factored form of the trinomial = (x+2) (x+8)

Answer:

(x+2) (x+8)

Step-by-step explanation:

As per the concept of subtraction, the integer number that representing the change in population is y - x = 1,379,048

Subtraction:

Subtraction means the difference or change between two or more things.  Basically, it is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-).

Given,

Between July​ 1, 2011, and July​ 1, 2012, the population of a specific country increased by approximately 1,379,048.

Here we need to find the change in the population.

In order to find the change in the population, we have to subtract one from another,

Such that,

Change = Population in July 1, 2011 - Population in July 1, 2012

Here the changed value is only presented in the question, so let us consider that

Population in July 1, 2011 as x and

Population in July 1, 2012 as y,

Then we get, the equation as,

y - x = 1,379,048

Here we first placed the y because the population is increasing.

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Answer:

x=37/20

Step-by-step explanation:

4(2x-7)+3(3x-1)=3(2-x)

8x-28+9x-3=6-3x

17x+3x=6+31

20x=37

Answer:

x = \(\frac{71}{3}\)

Step-by-step explanation:

1. Simplify/distribute each side.

\(4(2)(-7)+3(3)(-1)=3(2-x)\)

\(4(2)(-7)+3(3)(-1)=(3)(2)+(3)(-x)\)

\(-56+-9=6+-3x\)

2. Flip the equation around.

\(-3x+6=-65\)

3. Subtract 6 to balance the equation.

\(-3x+6-6=-65-6\)

\(-3x=-71\)

4. Divide each side by 3. We know they are in the same fact family.

\(\frac{-3x}{-3} = \frac{-71}{3}\)

In a hash table of size 6 with chaining, the keys 31, 32, and 19 will be placed in the table as follows:

Key 31: The hash value of 31 will be calculated using a hash function, which will generate a value between 0 and 5. Let's assume that the hash function generates a value of 1 for key 31. The value 31 will be placed in the linked list at index 1 of the hash table.

Key 32: The hash value of 32 will be calculated using the same hash function, which may generate a value different from 1. Let's assume that the hash function generates a value of 3 for key 32. The value 32 will be placed in the linked list at index 3 of the hash table.

Key 19: The hash value of 19 will be calculated using the same hash function, which may generate a value different from 1 and 3. Let's assume that the hash function generates a value of 0 for key 19. The value 19 will be placed in the linked list at index 0 of the hash table.

The evolution of the hash table for each key placement can be illustrated as follows:

Initially, the hash table is empty:
| | | | | | |

After placing key 31 in index 1:
| |31| | | | |

After placing key 32 in index 3:
| |31| |32| | |

After placing key 19 in index 0:
|19|31| |32| | |

As you can see, the values are placed in the linked lists at the respective indices of the hash table. This allows for efficient retrieval of values based on their keys, as the hash table can quickly locate the linked list where the value is stored.

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Answer:

Step-by-step explanation:

Let the present age be X

Let the later be Y

5/8 of x + 5/6 of y

= 5/8+5/6= 35/24

The improper integral |sin x + cos x| (x + 1) dx converges.

In the given problem, we will split the interval (0,∞) into two parts: (0,1) and (1,∞).Consider (1,∞).

In this region, both sin x and cos x are between -1 and 1.

Therefore, their sum is also between -2 and 2.

Therefore, |sin x + cos x| ≤ 2 for all x > 1.Now, we know that the integral of 2(x + 1)dx from 1 to ∞ is finite.

Therefore, the integral of |sin x + cos x| (x + 1) dx from 1 to ∞ is also finite.

Consider (0,1). In this region, both sin x and cos x are between -1 and 1. Therefore, their absolute values are also between 0 and 1.

Therefore, |sin x + cos x| ≤ |sin x| + |cos x|.Now, we know that |sin x| ≤ 1 for all x.

Similarly, |cos x| ≤ 1 for all x. Therefore, |sin x + cos x| ≤ 2 for all x in (0,1).

Now, we know that the integral of 2(x + 1)dx from 0 to 1 is finite. Therefore, the integral of |sin x + cos x| (x + 1) dx from 0 to 1 is also finite.

Since the integral of |sin x + cos x| (x + 1) dx is finite on both (0,1) and (1,∞), it is also finite on (0,∞). Therefore, the given integral converges.

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Answer:

use symbolab

Step-by-step explanation:

it works