STATE THE MODULES THAT ARE INCLUDED WHEN LEARNING PRECALCULUS.

hi  i hope this works <3

Answer:2x(5x+1)/4×-1

Step-by-step explanation:

I just took the test

Answer:

0.25 and 25%

Step-by-step explanation:

25% is the same as 1/4

0.25 is the same as 1/4

Answer:

1/4 = 0.25

1/4 = 25%

1/4 or 1 divided by 4 equals 0.25 (decimal) and 25% (percentage).

Answer:

{(-5, -5),(-9,0),(-8,5), (-6,5)}

Step-by-step explanation:

A function cannot have a domain that is assigned to multiple values (range).

The first set has 6 assigned to both 7 and -6.

The second set has -7 assigned to both 7 and -7.

The third set has -9 assigned to both 2 and -8.

Answer: n=0 or n=2

Step-by-step explanation: Step 1: Subtract 2n from both sides.

n²−2n=2n−2n

n²−2n=0

Step 2: Factor left side of equation.

n(n−2)=0

Step 3: Set factors equal to 0.

n=0 or n−2=0

n=0 or n=2

Answer:

I think it's 3

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square.

Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.

Here,

The phrase "shade 3/8 of the square" might be interpreted in a variety of ways, which might result in various solutions. Here are a few potential explanations and their accompanying responses:

1) The most straightforward interpretation is to shade 3/8 of the square as a single, continuous area.

There are countless ways to shade precisely 3/8 of the square in this interpretation.

2) Discrete Interpretation: Using a grid or discrete cells to shade 3/8 of the square.

The number of alternative ways relies on the size of the grid or the number of discrete cells if the square is divided into a grid or cells and the requirement is to shade exactly 3/8 of the cells. F

3) Interpretation based on constraints: Shading 3/8 of the square with specific restrictions.

In conclusion, the exact interpretation and any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square. It is challenging to estimate the precise number of potential solutions in the absence of more details.

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Answer:

Cho hình chóp S ABCD . có đáy ABCD là hình thoi cạnh a và góc BAD =  60 , SA ABCD ⊥( ).

Biết rằng khoảng cách từ A đến cạnh SC bằng a . Thể tích khối chóp S ABCD . là

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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The solution is, the Factor out the greatest common factor from the expression is 5(5p+6).

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.

here, we have,

given expression is,

16p+5+9p+25

=25p+30

=5(5p+6)

Hence, The solution is, the Factor out the greatest common factor from the expression is 5(5p+6).

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Answer:

f(x) = 2 + x^3

Step-by-step explanation:

The function f(x)=2+x^3 satisfies all the values given in the table.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the third option C we will check all the values of x in the function.

\(f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218\)

Hence the function f(x)=2+x^3 satisfies all the values given in the table.

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Answer:

multiple everything by three so say 3×-9x is -27x and 3 ×8 is 24 and you would then divide -27x by 24 and you would get -27x+24 I think

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer: 15 swimmer younger than 30 years old

Step-by-step explanation:

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Step-by-step explanation:

18.5-6.69

11.81

The question is asking what of the percent forms given equals 0.075.

Recall that the expression % is not really a mathematical expression, but one designed for business.

In math, we use fractions, quotients and their decimal forms to express and use them in calculations.

So, notice that the value of 6 % for example, means the following in math terminology: 6/100, which can be easily converted to its decimal form by moving the decimal point on 6. two places to the left: 0.06

So,now for the questions you have:

3 % is equivalent to the math form: 0.03

12/16 (which is in math form) equals 0.75 when you do the quotient, and that is in percent form 75%

75% is as we mentioned above given by 0.75 in math terms

0.34 (math form) has the following percent form: 34%

0.75 as we saw above is the same as 75% (in business notation)

Answer: r = 121.92 cm

              Volume = 4/3 x 3.14 x \(121.92^{3}\)

              7587404.65

Step-by-step explanation:

The radius is given. It's the distance from the center of the sphere to the end. The radius is 4 ft. 1 ft is 30.48cm so 4ft is 121.92cm  

(radius) r = 121.92 cm

Volume = 4/3 x 3.14 x \(121.92^{3}\)

             = 4/3 x 3.14 x 1812278.18

             = 4/3 x 5690553.49

             = 7587404.65

Answer:

ok so we know the amount we know the interest amount but we do know know the period of time so the equation would look like this

28000(0.4)T=I

T=Time

I=interest

The theorem correctly justifies why the lines m and n are parallel when cut by transversal k converse of the alternate interior angles theorem

The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines.

According to the ques

m and n are horizontal parallel line and k is transverse

The intersection of lines k and m, the bottom left angle = 50 degrees

The intersection of lines k and n, the uppercase right angle = 50 degrees.

Now,

Both angles are equal because of the theorem of alternate interior angles  or line are parallel because of this theorem .

Hence, The theorem correctly justifies why the lines m and n are parallel when cut by transversal k converse of the alternate interior angles theorem

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Answer:

b

Step-by-step explanation:

The revenue is given by the product of the price and the demand function

Reasons:

The given parameters are;

The demand function for the Sky Eagle, DS = 229 - 0.60·PS + 0.35·PH

The demand function for the Horizon, DH = 269 + 0.10·PS - 0.64·PH

The above demand functions gives the quantity demanded

Therefore, the revenue function is given by the product of the price and the demand function as follows;

RS = PS × DS = PS × (229 - 0.60·PS + 0.35·PH) = 229·PS - 0.60·PS² + 0.35·PS·PH

The revenue for Sky Eagle RS = 229·PS - 0.60·PS² + 0.35·PS·PH

Revenue for Horizon is found as follows;

RH = PH ×(269 + 0.10·PS - 0.64·PH) = 269·PH + 0.10·PS·PH - 0.64·PH²

The revenue for Horizon, RH =  269·PH + 0.10·PS·PH - 0.64·PH²

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Answer:

A=πr(r+h2+r2)

Step-by-step explanation:

A. hope this helps.

The value of surface area of the right cone is,

⇒ 175.8 units²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of cone = 4 units

Slant height = 10 units

Now, The formula for the total surface area of a right cone is,

T. S. A = πrl + πr²

Hence, We get;

The value of surface area of the right cone is,

⇒ 3.14 x 4 x 10 + 3.14 x 4²

⇒ 125.6 + 50.24

⇒ 175.8 units²

Thus, The value of surface area of the right cone is,

⇒ 175.8 units²

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The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

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The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\)  has a value of  \(-29/2\) .

To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

If  \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate   \(12 - 3y2 + (v=4) / (2y - 2)\) for  \(y = 3\)  .

\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)

\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)

Therefore, The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

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Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

3x                    3x(x)                                     x-2                   (x-2)(x+3)

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

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

x(x+3)

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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the car is approximately 22.4 meters away from the tower.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

we can write:

tan(55 degrees) = 32 / d

To solve for "d", we can rearrange the equation:

d = 32 / tan(55 degrees)

Using a calculator, we can evaluate the tangent of 55 degrees:

tan(55 degrees) = 1.428

d = 22.4 meters

Therefore, the car is approximately 22.4 meters away from the tower.

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The probability that the word formed is STATISTICS

= 1/10! = 1/3628800

What is meant by probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place. According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.

The total number of tiles in a bag = 10

It is given that once a tile is drawn, we will not place the tile back in the bag.

We should find the probability that randomly selected tiles spell the word, STATISTICS, which is a 10 letter word.

Now when we draw the first tile, it can be any of the 10 tiles.

1 st tile = 1/10

Now there are only 9 tiles left.

2nd tile probability = 1/9

Now only 8 tiles left.

3rd tile probability = 1/8

Similarly, we take each tile's probability.

Therefore the probability that the word formed is STATISTICS

= 1/10 * 1/9 * 1/8 * 1/7 * 1/6 * 1/5 * 1/4 * 1/3 * 1/2

= 1/10! = 1/3628800

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Answer:

The minimum value is 18.55 and the maximum value is 18.64. When rounding to one decimal place, you must look at the number two places after the decimal. If this is bigger than 5 round up and lower than 4 round down.

Step-by-step explanation: