You can walk 4/5 of a mile in 1/4 of an hour (15 minutes). How far can you walk in an hour?

Answer: k = √27-i

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

63 x 2 = 126

180 - 126 = 54

===================================================

Explanation:

It is a function because it passes the vertical line test. We cannot draw a single vertical line through more than one point on the red curve. Any x input leads to exactly one and only one y output.

A similar test is the horizontal line test. We cannot draw a single horizontal line through more than one point on the red curve, so this red curve passes the horizontal line test. Each y is only paired with one x value only. This helps set up an inverse function.

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In short:

If the curve passes the vertical line test, then we have a function

If the curve passes the horizontal line test, then it is one-to-one.

Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Answer:

4 and 6

Step-by-step explanation:

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer: It's C. 8

Trust me i've done the work for it :)

Answer:

See below

Step-by-step explanation:

Factor the numerator and denominator

\(\displaystyle f(x)=\frac{x^2-9}{(x^2-x-6)(x^2+6x+9)}\\\\f(x)=\frac{(x+3)(x-3)}{(x-3)(x+2)(x+3)(x+3)}\\\\f(x)=\frac{x-3}{(x-3)(x+2)(x+3)}\)

Because \(x-3\) exists in both the numerator and denominator, there will be a hole at \(x=3\) because the function is not continuous at that point.

If we check if the function is continuous at \(x=2\), we can see that the denominator will not be 0, thus, the function is continuous at \(x=2\).

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:

Translation 6 units left and 3 units down

Step-by-step explanation:

Answer:

the answer would be 6,600ft

Step-by-step explanation:

I hope this helps!!

Answer:

A, y = -40x+300

Step-by-step explanation:

y=180

x=3

180=-40(3)+300

180=300-120

The equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

In this problem we have a case of direct variation between two variables, which is mathematically described by a direct proportionality model, whose form and characteristics are shown below:

b ∝ √c

b = k · √c      (1)

Where k is the proportionality constant.

First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)

k = b / √c

k = 100 / √4

k = 100 / 2

k = 50

Then, the equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

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Data categorization is a process of organizing and grouping data into meaningful classes or categories.

This process is often used to simplify data and make it easier to understand and analyze. Data categorization involves breaking down a large set of data into smaller, more manageable groups. For example, a company may group customers into categories based on their age, income, or location. Each group can then be analyzed separately to better understand customer behavior. Categorizing data can also help identify trends or patterns that may not be visible when looking at the data as a whole. Categorization can also be used to identify outliers or anomalies in the data. By breaking down the data into smaller groups, it becomes easier to see which elements don’t fit the pattern or are not part of the normal range. Categorizing data can be done using a variety of methods. For example, data can be divided into numerical ranges or grouped into categories such as low, medium, and high. Data can also be grouped using descriptive terms, such as customer type or product type. Once the data is categorized, calculations such as averages, medians, and modes can be used to analyze the data. This can help to identify patterns or trends that can be used to make decisions or draw conclusions.

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(a)  The probability of the with replacement is 3/80.

(b) The probability of the without replacement is 15/380.

Two cards are selected at random Of a deck of 20 cards ranging from 1 to 5 with monkeys, frogs, lions, and birds on them all numbered 1 through 5 .

a) with replacement.

5/20 * 3/20 = 3/80.

b) without replacement.

5/20 3/19 = 15/380.

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Answer:

Decrease in amount= $578

Year-end amount= $7,922

Step-by-step explanation:

0.068=x/8500

Isolate x to multiply 0.068 by 8500= 578 which is the decrease in dollars.

so, 8500-578= $7,922 is how much money was in his account at the end of last year.

Decrease in amount: $578

Year-end amount: $7922

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Last year, Chang opened an investment account with, $8500.

At the end of the year, the amount in the account had decreased by 6.8%

To find the decrease in amount;

6.8% of $8500

= 8500 x 6.8 / 100

= 57800/100

= $578

At the end of the last year, amount,

$8500 - $578

= $7922

Therefore, the required amounts are $578 and $7922.

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Answer:

Let's first find the volume of the original cuboidal box:

Volume = Length x Width x Height = 3 x 3 x 2 = 18 cubic units

We can then set up an equation to relate the volume of the original box to the volume of the new cuboid:

Volume of new cuboid = Volume of original box

Let's call the length and height of the new cuboid "x" (since we know that the length and height are the same). We know that the width of the new cuboid is 15 units. Therefore, we can write:

Volume of new cuboid = Length x Width x Height = x x 15 x x = 15x^2

Now we can set up the equation:

15x^2 = 18

Dividing both sides of the equation by 15 gives:

x^2 = 18/15

Simplifying the right side of the equation gives:

x^2 = 1.2

Taking the square root of both sides of the equation gives:

x ≈ 1.095

Therefore, the length and height of the new cuboid are approximately 1.095 units.

Answer:

OPA OPA OPA OPA OPA OPA OPA OPA

Step-by-step explanation:

_. ._

\_(``-)_/

Answer:

its by chance yk

Step-by-step explanation:

Answer:

Step-by-step explanation:

144/25=x/5

times both sides by 5

144/5=x

simplify

x=144/5 or 28.8

Answer: x= 144/5

Step-by-step explanation:

Cross-Multiply

144/25 = 25x

Swap the sides so you can solve

720 =25x

Divide both sides

25x=720

x=144/5

The second derivative of the wave function ψn(x) in the interval 0≤x≤l is expressed as d²ψn(x)/dx² = -(n²π²c/l²) sin(nπx/l). This result tells us about the curvature of the wave and can help us understand the energy levels of the particle.

To determine the second derivative of the wave function ψn(x) in the interval 0≤x≤l, we first need to understand the function and its derivative. The wave function represents the probability density of finding a particle in a particular state, while the derivative of the wave function gives the momentum of the particle.
Therefore, the second derivative of the wave function gives the curvature of the wave and can tell us about the energy levels of the particle.
Expressing the answer in terms of n, x, l, and c, we can use the Schrödinger equation and the general solution of the wave function to find the second derivative. We know that the wave function ψn(x) is given by ψn(x) = c sin(nπx/l), where c is a constant and n is the energy level.
Taking the derivative of this wave function, we get dψn(x)/dx = (nπc/l) cos(nπx/l). And taking the derivative of this function again, we get the second derivative as d²ψn(x)/dx² = -(n²π²c/l²) sin(nπx/l).
Therefore, the second derivative of the wave function ψn(x) in the interval 0≤x≤l is expressed as d²ψn(x)/dx² = -(n²π²c/l²) sin(nπx/l). This result tells us about the curvature of the wave and can help us understand the energy levels of the particle.

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The factors of the expression 25x² + 10x + 1 will be (5x + 1)². Thus, the correct option is A.

Given that:

Expression, 25x² + 10x + 1

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Factorize the expression, then we have

25x² + 10x + 1 = 25x² + 5x + 5x + 1

25x² + 10x + 1 = 5x(5x + 1) + 1(5x + 1)

25x² + 10x + 1 = (5x + 1)(5x + 1)

25x² + 10x + 1 = (5x + 1)²

Thus, the correct option is A.

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The complete question is given below.

Write the factors of the expression 25x² + 10x + 1.
A. (5x + 1)²
B. (25x + 1)(x + 1)
C. (5x + 1)(5x - 1)

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer:

d

Step-by-step explanation:

g

Answer:

C

Step-by-step explanation:

They are all more in the modern era

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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The purchase value of an office compute

Value= 12350

Anuall depreciation = 1930

Value of computer in 9 years t=9

then we can create the formula

then

after 9 years the value of the computer is

since we have a negative value, the minimum value of the computer is 0

then 3

the value after 9 years of the computer is

$0

New question

V=12780

Depreciation=1947

time = 6 years

in 6 years The value of the computer is 1098

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Answer:

  A -- only

Step-by-step explanation:

A segment bisector intersects a segment at its midpoint.

S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)

No other midpoints are shown in this drawing.

__

A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.

__

An angle bisector divides an angle into two congruent parts. None are shown in this drawing.

__

The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)

Answer:

Step-by-step explanation: