Graph the function f(x) = 14(0.87)x. Does this function show growth or decay? What is the equation of the asymptote? Growth; y = 0 Growth; y = 14 Decay; y = 0 Decay; y = 14

Answer:

1.75

Step-by-step explanation:

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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Charlie 50 miles per hour

Violet 60 miles per hour

It is given that the distance between Memphis and New Orleans is 395 miles. This means, the total distance both covered = 395 miles

Charlie drove for 5.5 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour

Since, distance = speed × time

Distance covered by Charlie = 5.5x

Distance covered by Violet = 2(x + 10)

Altogether they covered 395 miles,

So,

395 = Distance covered by Charlie + Distance covered by Violet

395 = 5.5x + 2(x + 10)

395 = 5.5x + 2x + 20

375 = 7.5x

x = 375/7.5

x = 50 mph

Since, x represents the speed of Charlie, the speed of charlie was 50 miles per hour and speed of Violet =

Speed of Charlie +10

50+10 =60

speed of Violet =60mph

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Answer:

A

Step-by-step explanation:

as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

C. 11.33

Step-by-step explanation:

7•3=21

21 height of blue square

width of blue square÷3= width of red square

34/3= 11.33

Answer:

y = 2x-7

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀,y₀):

y-y₀ = m(x-x₀)

y-1 = 2(x-4)

Put into slope-intercept form:

y = 2(x-4) + 1

y = 2x - 7

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

-19

Step-by-step explanation:

becuase its -19

\((x_1,y_1) = (-10,-7),~~(x_2, y_2) =(-5,-9)\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 - x_1} =\dfrac{-9+7}{-5+10} = -\dfrac{2}{5} \\\\\\\text{Equation of line:}\\y -y_1 = m(x-x_1)\\\\\implies y +7 = -\dfrac{2}5 \left(x+10 \right)\\\\\implies 5y+35 = -2x -20\\\\\implies 5y+2x +35 +20 =0\\\\\implies 2x +5y +55=0\)

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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The height of the ladder will be 39.19 feet.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the base of a 40 feet ladder is 8 feet from the wall. The height will be calculated as,

H = √ ( 40² - 8² )

H = √ ( 1600 - 64 )

H = √ ( 1536 )

H = 39 feet

The height will be 39 feet.

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Answer:

32

Step-by-step explanation:

Step 1: change 22 - ( -  10) into 22 + 10

Step 2: solve it like normal

The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.

The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.

In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.

For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.

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Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

Answer:

2?

Step-by-step explanation:

From my understanding, all numbers 300 and below represent defective mp3s, so there's two.

Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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Answer:

20 becuase thats how many shells are in the table

Step-by-step explanation:

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

angle 8 is congruent to angles 3, 6, and 1

Step-by-step explanation:

If n and q are parallel then corresponding and vertical angles would be congruent. So: angle 8 is congruent to angles 3, 6, and 1.

Answer:

To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.

First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.

Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.

Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.

However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.

True; the point (-1/5, -3/2) does lie on the graph of f(x) = 7.5x.

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

f(x) = 7.5x

The point is given as

(x, y) = (-1/5, -3/2)

To determine whether the point (-1/5, -3/2) lies on the graph of f(x) = 7.5x, we can substitute x = -1/5 into the equation and see if it gives us y = -3/2.

f(x) = 7.5x

By substitution, we have

f(-1/5) = 7.5(-1/5)

Evaluate

f(-1/5) = -1.5

Express as fraction

f(-1/5) = -3/2

So, the point (-1/5, -3/2) does lie on the graph of f(x) = 7.5x.

Hence, the statement is false.

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Complete question

True or False. The point (-1/5, -3/2) lies on the graph of f(x).

Where f(x) = 7.5x

The point slope form of the equation is y-5=4(x-3).

What is point slope form of the equation?

The slope of a straight line and a point on the line are both components of the point-slope form. The equations of infinite lines with a specified slope can be written, however when we specify that the line passes through a certain point, we obtain a singular straight line. In order to calculate the equation of a straight line in the point-slope form, only the line's slope and a point on it are needed.

Here the given point \((x_1,y_1)=(3,5)\) and slope m=4 then using equation of line formula,

=> \(y-y_1=m(x-x_1)\)

=> y-5 =4(x-3)

Hence the point slope form of the equation is y-5=4(x-3).

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Answer:

x=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(x+3)=39 first you distribute the the then you get 3x+9=39 then you subtract so then you have 3x=30 then divide 30 by 3 and you have 10! hoped it helped some. ( the answer is x=10)  

The required expected value of the pointer landing on the blue is 9.4 times.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
From the table,
Frequency of blue color = 14
Total outcome = 75

Probability of landing on blue = P(b) = 14 / 75

Now,
The spinner is spun 50 times,
The expected value of the color blue is given as,
E(b) = n × P(b)

E(b) = 50 × 14/75

E(b) = 9.4 times

Thus, the required expected value of the pointer landing on the blue is 9.4 times.

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The approximate volume of the astroid is 2.57 * 10^9 m^3

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

Radius = 8.5 × 10^2 m.

Using the formula 4/3 π r^3 for the volume, we get

Volume = 4/3 * (22/7) * (8.5 × 10^2)^3

Evaluate

Volume = 2.57 * 10^9 m^3

Hence, the volume is 2.57 * 10^9 m^3

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Answer:

2

Step-by-step explanation:

(3/4)/(9/2)=1/6 tank of gas used every hour.

1/6*12=2 tanks of gas used in 12 hours.

By using the unitary method we will get 2 tanks of gas will anna use after 12 hours.

The unitary method is a method of determining the value of a single unit and based on that value you can find the value for the number of units you need.

Let the volume of the tank of gas  be x units

Volume of the tank of gas  uses for  9/2 hours = 3/4 of total volume

                                                         = 3/4 x

Volume of the tank of gas uses after 1 hour = 3/4 x ÷ 9/2

                                                                         = 3/4 x × 2/9

                                                                          = x/6

Volume of the tank of gas uses after 12 hours =x/6  x× 12 = 2x

Here, 2x  shows that 2 tanks of gas will anna use after 12 hours.

Therefore , 2 tanks of gas will be used by anna.

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