Select inductive reasoning, deductive reasoning, or neither. If 5x + 7 = 12, then x = 1. Deductive reasoning neither Inductive reasoning

x=-.7+1.8734994i  and x=-.7-1.8734994i

Step-by-step explanation:

2x+5x² +7x+10+6+4+-2x=(5x²)+(2x+7x-2x)+(10+6+4)=5x²+7x+20

quadratic equation

x=(-b±√(b²-4ac))/2a

where a=5, b=7, c=20

x=(-7±√(7²-4(5)(20)))/(2(5))

x=(-7±√((49-400))/10

x=(-7±√(-351))/10

x=(-7±18.734994i)/10

x=-.7+1.8734994i  and x=-.7-1.8734994i

The required given expression are categorized on perfect cube and square.

A number is said to be a perfect cube if it can be multiplied by itself three times. X must equal Y3 if it is a perfect cube of Y. As a result, a natural integer, not a fraction, is obtained when we take the cube root of a perfect cube. Therefore, 3x Equals y. For instance, the number 8 is a perfect cube as 38 = 2.

1) x³ + 125

= x³ + (5)³

It is perfect cube.

2) 8p³ - 27

= (2p)³ - (3)³

It is difference of perfect cube.

3) 12x³ - 9

We can not make perfect cube of this expression.

4) a² - 100

= a² - 10²

It is a difference of Perfect square.

5) 4m² + 25

= (2m)² + 5²

it is a sum of Perfect square.

6) 16x² - 9

= (4x)² - 3²

It is difference of perfect square.

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Answer:

36

Step-by-step explanation:

4/5(45) = 36.00

if you are taking 1/5 off, you are leaving 4/5 on.

Answer:

Step-by-step explanation:

C

Mrs. Thakur will receive Rs 9331.2 after 2 years, with an interest rate of 8% compounded annually.

To find the total amount Mrs. Thakur will receive after 2 years,

We need to calculate the compound interest.

The formula for compound interest is: A = P * (1 + r/100)^n

Where A is the final amount, P is the principal (Rs 8000),

r is the interest rate (8%), and n is the number of years (2).

So,

A = 8000 * (1 + 8/100)^2

A = 8000 * (1.08)^2

A = 8000 * 1.1664

A = 9331.2

Therefore, Mrs. Thakur will receive Rs 9331.2 after 2 years

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Answer:

Shift down 4 units

Step-by-step explanation:

As you can see in the photo, the blue graph, 9^x -4, is 4 units down from the red graph, 9^x.

Answer:

Below

Step-by-step explanation:

Actually....NONE of those answers would show the total amount after 3 years

the correct option would be   2000 + (2000*.02 *3)     a PLUS sign rather than a multiplication sign  ....so the answer MIGHT be B if you transcribed it incorrectly

Answer:

7×(3+x)=21+7x or 7x+21

Step-by-step explanation: Simply multiply 7 by 3 and then 7 by x.

Jaime's total fortune was 4. Rosa received 28% of the fortune which is 4 x 28% = 1.12, Maria received 32% of the fortune which is 4 x 32% = 1.28 and Fidel received the remaining 160 soles.

The fortune of Jaime can be calculated with the following formula:

F = 28% x F + 32% x F + 160

Where F is the total fortune.

Therefore, to find the total fortune we need to solve the equation and we do this by multiplying both sides of the equation by F:

F = 28% x F + 32% x F + 160

F x 100% = 28% x F x 100% + 32% x F x 100% + 160

F x 100% = 28F + 32F + 160

100F = 28F + 32F + 160

100F - 60F = 160

40F = 160

F = 160 ÷ 40

F = 4

Therefore, Jaime's total fortune was 4. Rosa received 28% of the fortune which is 4 x 28% = 1.12, Maria received 32% of the fortune which is 4 x 32% = 1.28 and Fidel received the remaining 160 soles.

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Answer:

reflex angle since it's greater than 180 degrees

Step-by-step explanation:

There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).

If we know that there is 360 total degrees, we can figure out what number degree is x by using this equation:

360 - 50 = 310

Therefore, because 310 is more than 180 degrees, it is considered a reflex angle.

Answer:

R 1440

Step-by-step explanation:

Given:-

Principal Amount = R 12000

Time = 1 year

Rate = 12% pa

The Interest can be calculated using the following formula:-

Interest = (Principal Amount * Rate * Time) / 100

Substituting the respective values:-

Interest = (12000 * 12 * 1) / 100

Interest = 144000 / 100

Interest = R 1440

So, Sam will pay an interest of R 1440

The number of children and the number of adults swam at the public pool that day are 157 and 249 respectively.

The number of children and the number of adults swam at the public pool that day is calculated as follows;

let the number of children = x

let the number of adult = y

x + y = 406 ------ ( 1)

1.5x + 2y = 733.5 ---- (2)

From equation (1), y = 406 - x

Substitute the value of y into equation ( 2)

1.5x  +  2( 406 - x ) = 733.5

1.5x +  812 - 2x = 733.5

-0.5x = -78.5

x = 78.5 / 0.5

x = 157 children

y = 406 - 157

y = 249 adults

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The complete question is below:

Swimming Pool a certain summer's day, 406 people the pool, The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled $733.5. How children and how many adults swam at the public pool that day

A translation is 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin. Then the correct option is D.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

A translation is 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin. Then the correct option is D.

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Answer:

Company A

Step-by-step explanation:

Company A charges $75.50 + $0.14x per mile.

Company B charges $45.50 + $0.08x per mile.

The difference in charges is:

($75.50 + $0.14x) - ($45.50 + $0.08x) = $30 + $0.06x.

Therefore, for x miles, Company B charges $30 + $0.06x more than Company A.

Utilizing the distributive law, first multiply each term in one polynomial by each term in the other polynomial. Using the exponent rule, multiply the powers of the same variables. Then, add or remove like terms to simplify the resulting polynomial.

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The correct option is statistical inference (b).

The professor uses sample data from the population to determine the average age. Anytime inferential statistics or statistical inference is used to make inferences from samples.

Instead of gathering data from the entire institution, the professor took age samples from a class and used those data to draw conclusions about the entire university.

Descriptive statistics in statistics help you describe the facts, whereas inferential statistics assist you in drawing conclusions from the data.

Data from the sample are used in inferential statistics, which allows you to generalise about the population.

Inference generally refers to "guessing," which involves drawing conclusions about something.

So, drawing conclusions about the population is what is meant by statistical inference. It makes use of a number of statistical analytic tools to draw a conclusion about the population.

Therefore, the correct option is statistical inference.

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The volume of the cone is 615.44 cm³.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is (1/3)πr²h.

We have,

Slant height l = 14 cm.

Curved surface area of a cone = 308 cm².

This means,

πrl = 308

πr x 14 = 308

πr = 308/14

r = 308/(14π)

r = 7 cm

Now,

Volume = (1/3)πr²h.

l² = r² + h²

l² - r² = h²

h = √(l² - r²)

h = √(196 - 49)

h = √(147)

h = 12 cm

Now,

Volume.

= (1/3)πr²h

= (1/3) x π x r² x h

= (1/3) x 3.14 x 49 x 12

= 615.44 cm³

Thus,

615.44 cm³ is the volume of the cone.

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There are 720 possible three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once. Thus, 6 x 5 x 4 = 120, and 120 x 6 = 720.

There are 720 possible three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once. This is because you can have 6 different choices for the first digit, 5 choices for the second digit, and 4 choices for the third digit. This means that for each of the 6 choices for the first digit, you can have 5 choices for the second digit, and for each of those 5 choices, you can have 4 choices for the third digit. This results in 6 x 5 x 4 = 120 possible combinations for each of the 6 choices for the first digit. Since there are 6 choices for the first digit, 120 x 6 = 720 possible three-digit numbers in total.

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Answer:

5x - 4y = -20

y = x + 5

y = -x + 5

Step-by-step explanation:

The formula for slope-intercept form is y = mx + b, with b being the y-int.

If the equation does not have an x, y, or b, it is not a slope-intercept form.

5x - 4y = -20 (can be rearranged to y = 5/4x + 5)

y = 1, x = 5/4, b = 5

y = x + 5y

x = 1, y = 1, b = 5

y = -x + 5

x = -1, y = 1, b = 5.

Other answer choices does not have all three variables.

Answer: -7x^2 - 6x - 2

Step-by-step explanation:

This expression is equivalent to the sum of three terms:

1 - x + 4x^2, 2x^3 + x^2 - 6x - 3, and -5x^3 - 8x^2.

By combining like terms, the expression can be simplified to -7x^2 - 6x - 2.

The number of managers are in this survey = 96

Let us assume that A represents the set of managers with BS degree and B represents the set of managers with masters degree.

46 managers have a masters degree.

⇒ n(A) = 46

60 managers have a B.S. degree

⇒ n(B) = 60

20 have both a masters and bs degree.

⇒ n(A ∩ B) = 20

10 managers have neither degree

⇒ n(A ∪ B)c = 10

We know that the set formula,

n(P U Q) = n(P) + (n(Q) – n (P ⋂ Q)

So,  n(A ∪ B) = n(A) + n(B) – n (A ⋂ B)

n(A ∪ B) = 46 + 60 - 20

n(A ∪ B) = 86

Let n(S) be the be the total managers are in this survey.

n(S) = n(A ∪ B) + n(A ∪ B)c

n(S) = 86 + 10

n(S) = 96

Therefore, there are 96 managers in this survey.

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The required value of OK is 8.5 units for the given polygon.

A polygon is a two-dimensional flat form with straight, completely closed sides. Straight, not curved, sides are required. Polygons, on the other hand, can have any number of sides.

The two polygons shown are similar.

As we know that two similar polygons with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

So AT/OK = MH/RS

⇒ 2/OK = 4/17

⇒ OK = 34/4

⇒ OK = 8.5 units

Thus, the required value of OK is 8.5 units.

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Right Scalene Triangle.

Sides of the Triangle are,

a = 48 inches

b = 64 inches

c = 80 inches

  Area of Triangle =  (1/2 × base × height)

                              =  (1/2 × 64 × 80)

                              =  2560

A triangle is a closed figure made of three lines and three angles, where the sum of all the angles is equal to 180 degree.

In a right scalene triangle all three sides are different in length and one angle is equal to 90 degree. Right scalene triangle contains both the properties of a right triangle and scalene triangle.  

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Sorry..Bro the pic isn't clear...I can't help you..

I am so sorry bro

Salut/Hello!

Step-by-step explanation:

You can use the explanation it has above (in the screenshot) to calculate.

The area of the rectangle or square is the length x width
For a square, all sides are equal so it's enough to just know one.
If you observe you can see how the area of the triangle is exactly half of the area of the square/rectangle. So if you struggle to find it using the formula 1/2 x base x height then you can simply divide the area of the rectangle with 2

Answer:

a. square 12 x 12 = 144 cm
triangle 1/2 x 144 = 72
and we know 1/2 is equal to 0.5

b. rectangle 11 ft x 5ft = 55 ft
triangle 1/2 x 55 = 27.5

... The rest aren't clear but with that example you can definitely do it on your own!

I hope it was useful! :]

Answer:

The value of θ can be found by solving the equation 2tan2θcos2θ = 1. Using the identities tan2θ = (1 - cos2θ)/(1 + cos2θ) and cos2θ = (1 - tan2θ)/(1 + tan2θ), we get 1 = 2/(1 + cos2θ). Solving for cos2θ gives cos2θ = -1, which implies that tan2θ = 1. Thus, the value of θ is 45°.

The line joining the points (0, 2) and (-5,-4) divides the line segment joining the point (6, 3) and (-2, 1) in the ratio 2:1.

Let the point of intersection of the two lines be (x, y). Using point-slope form, the equation of the line joining the points (0, 2) and (-5,-4) is y-2 = -3/5(x-0), and the equation of the line segment joining the points (6, 3) and (-2, 1) is y-3 = -2/8(x-6).

Solving for x and y, we get x = 8/5 and y = 4/5.

So, the distance from (x, y) to (0, 2) is 2/5 and the distance from (x, y) to (6, 3) is 6/5.

Hence, the ratio of the distances is 2/5 : 6/5 = 2 : 1.

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The solution is,

x1 =  5

x2 = -1

x3 =  3

x4 =  2

x5 =  1

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

x1   + x2   − 2x3 + 3x4 + 2x5 = 6

3x1 + 3x2 − x3   + x4   + x5   = 12

2x1 + 2x2 − x3   + x4   − 2x5 = 5

4x1 + 4x2 + x3    +0x4 − 3x5 = 16

8x1 + 5x2 − 2x3 − x4   + 2x5 = 29;

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The total area of the poster would actually be 792 square cm, which includes the area of the margins (36 square cm) and the area of the printed material (756 square cm)

To find the smallest area of the poster, we need to determine the size of the poster such that the printed material takes up the maximum amount of space, while still satisfying the margin constraints. Here's the detailed explanation and calculation:

The area of the top and bottom margins is 8 cm × poster width = 8 cm × w.

The area of the side margins is 10 cm × poster height = 10 cm × h.

Total area of the margins = 2 × (8 cm × w) + 2 × (10 cm × h) = 36 cm.

Available space for the printed material = 762 cm - 36 cm = 726 cm.

The optimal dimensions of the printed material would be the closest pair of factors of 726 that add up to 36, which are 18 and 42 cm.

The area of the printed material would be 18 cm × 42 cm = 756 cm.

The total area of the poster = 756 cm + 36 cm = 792 cm.

Therefore, the dimensions of the poster with the smallest area are 756 cm and the total area of the poster is 792 square cm.

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The probability that a student chosen at random dislikes at least one of them is 0.2. Probability is the likelihood of occurrence of an event.

Probability a student likes math's = 0.7

Probability a student dislikes maths = 1 - 0.7 = 0.3

Probability a student likes history = 0.2

Probability a student dislikes history = 1 - 0.2= 0.8

Probability a student likes maths and history = 0.1

Probability a student dislikes maths = 1 - 0.1= 0.9

Probability a student dislikes at least one of them = probability he dislikes math's + Probability a student dislikes history- Probability a student dislikes math's and history = 0.3+0.8-0.9 = 0.2

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A negative correlation will be expected between smoke detector use and deaths from home fires.

A positive correlation happens when variables that are related(not zero correlation)increase together. In other words, variable an (independent variable) increases and makes variable b(dependent variable) increase too.

There will be a negative correlation if the opposite happens; that is, when related variables go in opposite directions, then one of them will increase while the other decreases.

We observe from what we are told that a negative correlation occurs here since the death rate from fires has likely(assumed) decreased as smoke detectors have increased.

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--The given question is incorrect; the correct question is

"Over the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily and has plateaued at about 95% (National Fire Protection Association website, January 2015). With this increase in the use of home smoke detectors, what has happened to the death rate from home fires? The DATAfile SmokeDetectors contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of the population.

Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Why or why not?"--