The height of a kicked ball can be modeled by the quadratic function h = - 0.01x^2 + 1.18x + 2. The horizontal distance traveled by the ball in feet is represented by x, and h is the height of the ball in feet. Approximately how far does the ball travel horizontally by the time it hits the ground?

Answer:

2 3/4 square yd

Step-by-step explanation:

3/1 x 11/12 = 2 3/4

Assuming an isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object, the three-dimensional object is a: D. cone with a diameter of 12.

In Geometry, there are five (5) major types of triangle based on the length of their sides (side lengths) and angles, and these include the following;

In Mathematics, a right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees (90°).

Generally speaking, the resulting three-dimensional (3-D) geometric object that is formed when a right-angled triangle is continuously rotated about a leg would be a cone. Additionally, the radius of this cone would be equal to 6 because the base of the right-angled triangle is 6.

Therefore, the diameter of this cone can be calculated as follows;

Diameter of cone = 2 × radius of cone

Diameter of cone = 2 × 6

Diameter of cone = 12 units.

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Complete Question:

An isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object. The three-dimensional object is a

answer choices

cylinder with a diameter of 6

cylinder with a diameter of 12

cone with a diameter of 6

cone with a diameter of 12

Answer:

JK = 10 , JL = 14

Step-by-step explanation:

• opposite sides of a parallelogram are congruent

(6)

JK = ML , that is

3x - 2 = x + 6 ( subtract x from both sides )

2x - 2 = 6 ( add 2 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Then

JK = 3x - 2 = 3(4) - 2 = 12 - 2 = 10

• the diagonals of a parallelogram bisect each other

(7)

JL = 2 × JA = 2(2x - 1) = 4x - 2 ( substitute x = 4 )

JL = 4x - 2 = 4(4) - 2 = 16 - 2 = 14

Answer:

We can use the formula A = P(1 + r/n)^(nt) to find out how long it takes for William's money to triple, where A is the final amount, P is the principal, r is the interest rate, t is the time in years and n is the number of times the interest is compounded per year.

A = P(1 + r/n)^(nt) = 550(1 + 0.02/12)^(12*t) = 3P

Solving for t we get

t = (ln(3)/ln(1+0.02/12))/12 = 49.41

For Violet's account, using the formula A=Pe^(rt) where A is the final amount, P is the principal, r is the interest rate, t is the time in years, we get:

t = ln(3) / (2 * e^-2) = 49.41

Therefore, it will take approximately 49.41 years for William's money to triple, and 49.41 years for Violet's money to triple.

So the difference in time is 0.

Answer:

Line AC is 8

Since the lines are parallel, the angles are the same, and the triangles are equally proportional. The ratio of 12 and 24 is 2, so you multiply 4 by 2 to get 8.

As per the given positive divisors the second column is the prime number p, then the third is n=p2, and the right column is σ1(n)

Here we have know that Firstly we have to the function that the OP is describing is a well-known divisor function, then here let us use the common notation that can be written as

=> f(n)=σ1(n)

Then the next step is to note that σ1(n) is always an integer and then the square root in the OP's equation means that n must be a square number.

Here we have know that if n=p2 is a square of a prime number (p) then it has exactly 3 divisors then we have the those divisors are 1,p,n

And it can be written as,

=>  σ1(n)=1+p+n

Here we have also know that all other square numbers will have additional divisors is written as

=> σ1(n)>1+n−√n

Therefore the answer to the OP’s question is that the number of solutions within the range [1,2010] is equal to the number of primes squared in this range.

Here the term in which is equal to the number of primes in the range [1,√2010] and it has also do in which is number of primes in the range [2,44]

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Answer: 180 degrees

Step-by-step explanation:

If there are two parallel lines such as we could see in the problem, you can basically carry some angles to the other corners if these corners show the same direction.

In this case, you can carry "a" angle to the corner which is at the top of the "b" angle. Then, you can notice that a and b angles are complementary to 180 degrees for each other. So, this is the answer.

Note: Actually, you can also realize that these two corners at the intersections of the lines should have the same angle otherwise there would be no parallelism.

The solution set for the function f(x) ≤ 0 as required to be determined in the task content in interval notation is; ( infinity, 3 ].

It follows from the task content that the values of x for which f(x) ≤ 0 be determined considering the given graph.

As evident in the given graph; the portion of the graph which is below the x-axis (i.e below the line f (x) = 0 ) lies in the interval; ( infinity, 3 ] for variable x.

On this note, it can be inferred that the required solution set for f(x) ≤ 0 is; ( infinity, 3 ].

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0.1 is  Probability in Distribution Table X P(X).

What is Probability ?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                             Statistics describes the examination of events subject to probability.

Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.

now according to the properties of probability theory we know that sum of probabilities is 1.

so here to find the value of the probability of X coresponding to the value 53 we should use the following steps:

sum of given probabilities =(0.2+0.4+0.3) = 0.9

required probability = 1 - sum of given probabilities = 1 - 0.9 = 0.1

hence the complete probability table is

X P(X)

20 0.2

49 0.4

53 0.1

80 0.3

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y + 3 = (-4/3)(x - 6) is the equation of the line that passes through the point (-6, 3) and has slope of -4/3.

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Answer: 35.1

Step-by-step explanation:

Note that the altitude to the hypotenuse splits the hypotenuse into segments of lengths 16 and 28.

Using the geometric mean theorem, the length of the altitude to the hypotenuse is [tex]\sqrt{16(28)}=8\sqrt{7}[/tex].

Using the Pythagorean theorem, [tex]x=\sqrt{(8\sqrt{7})^2 +28^2} \approx 35.1[/tex].

Answer:

Drawf planets orbit the Sun.

Dwarf planets are round.

Pluto is a dwarf planet.

Answer:a,c,d

Step-by-step explanation:

edge 2023

Answer:

Step-by-step explanation:

(a) To work out the value of 64 - 1/2, we first need to understand that -1/2 is the same as raising the number to the power of -1/2. So, 64 -1/2 can be written as 64^(-1/2)

The value of 64^(-1/2) is equal to 1/√(64) = 1/8

(b) To work out the value of 81 - 1/2, we can write it as 81^(-1/2)

The value of 81^(-1/2) is equal to 1/√(81) = 1/9

(c) To work out the value of 64 - 1/3, we can write it as 64^(-1/3)

The value of 64^(-1/3) is equal to 1/∛(64) = 1/4

(d) To work out the value of 125 - 1/3, we can write it as 125^(-1/3)

The value of 125^(-1/3) is equal to 1/∛(125) = 1/5

Note: √ represents square root and ∛ represents cube root

The system of inequalities to represent the maximum amount of flooring needed and the maximum amount of money Samuel wants to spend is x + y <= 2000 and 4.50x + 8.25y <= 10000.

Let x be the number of square feet of carpet and y be the number of square feet of hardwood.

The most amount of flooring area he can cover is 2000 square feet. So the first inequality represents the maximum amount of flooring area that Samuel can cover:

x + y <= 2000

The carpet is $4. 50 per square foot and the hardwood is $8. 25 per square foot and Samuel has a budget of $10,000. So the second inequality represents the maximum amount of money that Samuel wants to spend:

4.50x + 8.25y <= 10000

So the system of inequalities is:

x + y <= 2000

4.50x + 8.25y <= 10000

This system represents the possible combinations of carpet and hardwood that Samuel can use while staying within his budget and the maximum amount of flooring area he can cover.

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The centimeter equivalent of Sadie's height is 142.875 cm.

(63.5×2.25) cm.

= 142.875 cm.

The pair of equations y = 0 and y = -7 have no solutions.

The pair of equations y = 0 and y = -7 have no solutions because the equations are not equal. The left side of the equation is y = 0, while the right side of the equation is y = -7. Since the two sides of the equation do not have the same value, there is no solution that can satisfy both equations.

The pair of equations y = 0 and y = -7 have no solutions because the two equations are not equal. The left side of the equation is y = 0, while the right side of the equation is y = -7. Since the two sides of the equation do not have the same value, there is no solution that can satisfy both equations simultaneously. This can be confirmed by substituting the value of y on the left side into the equation on the right side. Since the value of y would be 0 on the left side and -7 on the right side, they cannot be equal and thus there is no solution. Therefore, the pair of equations y = 0 and y = -7 have no solutions.

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Answer: 150 miles

Step-by-step explanation: the car goes 30 miles every half hours, therefore, in five half hours it goes 150 miles.

Answer:

[tex]\boxed{\displaystyle f^{-1}(x) =\left(\dfrac{x-2}{4}\right)^5 + 1\\}[/tex]

This is the last choice on the screenshot you provided

Step-by-step explanation:

Use y to represent f(x)

[tex]y=4\sqrt[5]{x-1}+2[/tex]

Replace x with y and y with x:

[tex]x=4\sqrt[5]{y-1}+2[/tex]

Solve for y in terms of x and that will be the inverse of f(x)

Answer: Last choice on the screen, namely

[tex]\boxed{\displaystyle f^{-1}(x) =\left(\dfrac{x-2}{4}\right)^5 + 1\\}[/tex]

Answer:

Step-by-step explanation:

Yes, there is an end behavior for a square root function. The end behavior of a square root function is determined by the sign of the leading coefficient of the equation. For example, if the leading coefficient is positive, then the end behavior will be asymptotic to the positive x-axis as x increases, and asymptotic to the negative x-axis as x decreases. Conversely, if the leading coefficient is negative, then the end behavior will be asymptotic to the negative x-axis as x increases, and asymptotic to the positive x-axis as x decreases.

The amount of time after which the employee will be earning $10 is 9 years.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

The raise per year = 3%

The amount received per hour = $7.54

The equation for the hourly wage after t years.

y = 7.54 x [tex]1.03^t[/tex]

Now,

For t = 9,

y = 7.54 x [tex]1.03^9[/tex]

y = 7.54 x 1.326

y = $10

Thus,

After 9 years the hourly earning is $10.

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An absolute value graph is a V-shaped graph that opens either upwards or downwards, depending on the equation. To determine if an absolute value graph opens up or down, you need to examine the value of the constant k in the equation. If k is positive, the graph opens upwards and if k is negative, the graph opens downwards.

The general form of an absolute value equation is y = |x| + k, where k is a constant. The graph of this equation will open upwards if k > 0, and downwards if k < 0.

For example, if the equation is y = |x| + 2, the graph will open upwards and will have vertex at the point (0, 2)

On the other hand, if the equation is y = |x| - 2, the graph will open downwards and will have vertex at the point (0,-2)

The vertex of the graph is the point where the graph changes direction. The x-coordinate of the vertex is always 0 and the y-coordinate is the value of k.

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Answer:

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

If you add a parallel line through the point Q, then angle TQR will be divided by two angles.

One of them is congruent to ∠STQ and another one is congruent to ∠PRQ as alternate interior angles.

Therefore:

The number of positive integers less than 1000 that are neither 7-nice nor 8-nice is 749.

N = (ke1 + 1)(ke2 + 1)· · ·(kei + 1).

This means we must have N ≡ 1 (mod k).

Yes, choose a = 2^N−1/k so that

a^k = 2^N−1

, which has N divisors.

So, we need to find the number of integers that are neither 1 mod 7

nor 1 mod 8.

We can use the principle of inclusion and exclusion.

There are [999/7]= 143 integers that are 1 mod 7.

There are [999/8]= 125 integers that are 1 mod 8.

There are [999/56 ]= 18 integers that are 1 mod 56.

By PIE, the answer is 999 − 143 − 125 + 18 = 749.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

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As per the given data, the median number of jumps that the student made before missing is 33.5.

The term Median in math is defined as the middle value or the average of the two center values of a data set.

Here we have given that the high school gym class was jumping rope. They wanted to know how many jumps each student could make before they missed.

Here the results are listed as follows:

=> 2, 5, 6, 7, 9, 11, 12, 14, 14, 15, 17, 19, 21, 22, 23, 24, 27, 32, 35, 39, 39, 44, 47, 53, 60, 61, 82, 85, 88, 90, 93, 96, 101, 103, 114, 125

Here we need to find the center values that is written as,

=> 32, 35

Now, we have to find the average of the two center values is written as,

=> (32+35)/2 = 33.5

Then the median number of jumps is 33.5.

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Answer:

3, 5, 7, 9, 11

Step-by-step explanation:

the recursive formula allows a term to be found by adding 2 to the previous term, that is

u₁ = 3

u₂ = u₁ + 2 = 3 + 2 = 5

u₃ = u₂ + 2 = 5 + 2 = 7

u₄ = u₃ + 2 = 7 + 2 = 9

u₅ = u₄ + 2 = 9 + 2 = 11

the first 5 terms are 3, 5, 7, 9, 11

Considering the expression of a line, the slope intercept form is y= -x+2.

A linear equation o line can be expressed in the form y = mx + b

where

This is known as the slope-intercept form. This form is one of the most common forms used to represent the equation of a line and can be used to find the equation of a line when given the slope of the straight line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis).

In this case, the line is x+y=2. Expressed in the form y = mx + b, you get:

y= 2 -x     or     y= -x +2

Finally,  x+y=2 in slope intercept form is y= -x+2.

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The sequence of numbers for the expression -n² - 2n + 3 is

0, -5, -12, -21, and -32.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-n² - 2n + 3

The sequence of numbers for n = 1, 2, 3, 4, 5 are:

n = 1,

-1 - 2 + 3

= -3 + 3

= 0

n = 2,

-4 - 4 + 3

= -8 + 3

= -5

n = 3,

-9 - 6 + 3

= -15 + 3

= -12

n = 4,

-4² - 2 x 4 + 3

= -16 - 8 + 3

= -21

n = 5,

-25 - 10 + 3

= -35 + 3

= -32

Thus,

The sequence of numbers is 0, -5, -12, -21, and -32.

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Answer:

11 hours

Step-by-step explanation:

First we divide 335 by 5 to get the hourly rate.

We get 67 as the answer.

Next we divide 737 by 67 and we get 11 hours.

Hope this helps. :)

It is not possible to construct a triangle with 2cm, 3cm, and 7cm.

The sides measure 2 cm, 3 cm, and 7 cm in length.

Only when the third side is greater than the sum of any two sides can a triangle be drawn. This the condition.

Let's verify the rule now.

2 + 3 > 7        Not true

2 + 7 > 3        True

3 + 7 > 2        True

As 2 + 3 > 7 does not satisfy the condition.

Hence, it is not possible to construct a triangle having 2cm, 3cm, and 7cm in length.

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So, on solving the provided question, here we can say that the  by differential equation V = max volume = x = 8 and y = 4

Sequences in which the difference between succeeding terms is constant are known as arithmetic progressions. For instance, an arithmetic progression with a tolerance of 2 is the sequence 5, 7, 9, 11, 13, and so on. An arithmetic progression (A.P.) is a progression where the tolerance between two succeeding numbers is always the same. Arithmetic progression can be of two types: There are a finite number of terms in a finite geometric progression. The series' early, late, tolerance, and number of terms can be determined. Differential equations are frequently used in everyday life to compute the flow and motion of electricity, the back and forth motion of devices like pendulums, and to clarify thermodynamic principles.

Given x + Y 12

y = 12 - x

volume = [tex]\pi x^2y[/tex]

V = [tex]12\pi x^2 - \pi x^3[/tex]

Differentiate

dV/dx = [tex]24\pi x - 3x^2[/tex]

dV/dx  = 0; x = 0,8

V = max volume = x = 8 and y = 4

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