Helppppppppp asappppppp

No, it is not required to be accurate. The growth rates of the two functions can vary.

It's not necessary for log f(n) to equal log g(n). Depending on the equation's constants and the inputs to the two functions, the growth rates of the two functions may differ. For instance, log f(n) = 2 log n and log

g(n) = 3 log n,

which are not equal, if

f(n) = n2 and g(n) = n3.

In this instance, log f(n) is equal to (log n) and log g(n) to (log n3), indicating that the two functions grow at various rates. Likely not equal are log f(n) and log g(n) if

f(n) = n and g(n) = n2,

respectively. Log f(n) is defined as (log n) and log Therefore, the statement "log f(n) = (log g(n)" is not necessarily true.

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Answer:

A

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

A

y = \(\frac{4}{3}\) x + 2 → has slope m = \(\frac{4}{3}\)

y = - \(\frac{3}{4}\) x - 7 → has slope m = - \(\frac{3}{4}\)

and \(\frac{4}{3}\) × - \(\frac{3}{4}\) = - 1

Thus this pair of lines are perpendicular

B are neither parallel nor perpendicular

C have equal slope and are parallel

D are neither parallel nor perpendicular

Answer:

26.6667

Step-by-step explanation:

.15x=100

Divide each side by .15.

x=666.6667

.04(666.6667)=26.6667

Answer:

26(approx.)

Step-by-step explanation:

15/100 times x = 100

3/20 times x = 100

3x/20 = 100

3x = 2000

X= 666 2/3

So,

4/100 x 666.67

1/25 x 666.67 = 26

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

119\(\frac{2}{3}\)

Step-by-step explanation:

First, divide the 300 by 3 to get 100

then, divide 50 by 3 to get 16 with a remainder of 2

and then, divide 9 by 3 to get 3

Add them all up to get 100 + 16 + 6 = 119 plus a remainder of 2:

so it would be 119\(\frac{2}{3}\)

Answer:

Step-by-step explanation:

2x - 6 = 10

2x = 16

x = 8

Answer:

The first one.

Step-by-step explanation:

1. 2,500,000

2. 360,000

Answer:

20

Step-by-step explanation:

There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third

6*5*4

But order doesn't matter

Divide by the number of items factorial

3! = 3*2*1 = 6

6*5*4

--------

6

20

Answer:

hmm bro it's kinda blurry can u retake the pic? i will help u to solve it

The σ(n) and µ(n) for each n value is (a) Therefore, 105σ(n) of 105 is -1. (b) Hence the sum of divisor of 15! is 1. (c)Therefore,μ(79^79) = μ(79)^79 = (-1)^79 = -1

(a) Compute σ(n) and µ(n) for n = 105σ(n) of 105:

Here we need to find the sum of divisors of 105:Sum of divisors = (1 + 3 + 5 + 7 + 15 + 21 + 35 + 105) = 192μ(n) of 105.

Let us first write down the prime factorization of 105 which is given by105 = 3 × 5 × 7So μ(105) will be given by:μ(105) = (-1)3 = -1

Therefore, 105σ(n) of 105 is -1

(b) Compute σ(n) and µ(n) for n = 15!σ(n) of 15!:

Here we need to find the sum of divisors of 15!:We know that if n = p1^a1 . p2^a2 . … pk^ak

then the sum of divisors will be given by{(1 - p1^(a1+1))/(1 - p1)} . {(1 - p2^(a2+1))/(1 - p2)} … {(1 - pk^(ak+1))/(1 - pk)}

Hence sum of divisors of 15! = {1 + 2 + 4 + 8 + 16 + 32 + 64 + 128} × {1 + 3 + 9 + 27 + 81 + 243 + 729} × {1 + 5 + 25 + 125 + 625} × {1 + 7 + 49 + 343} × {1 + 11 + 121} × {1 + 13 + 169} × {1 + 17 + 289} × {1 + 19 + 361} = 5585458640832840072960000μ(n) of 15!:15! = 2^11 . 3^6 . 5^3 . 7^2 . 11 . 13So μ(15!) = (-1)24 = 1

Hence the sum of divisor of 15! is 1.

(c) Compute σ(n) and µ(n) for n = 79^79σ(n) of 79^79:Here we need to find the sum of divisors of 79^79 which is given by(1 + 79 + 79^2 + ... + 79^79) = (79^80 - 1)/(79 - 1)

Hence σ(79^79) = (79^80 - 1)/78μ(n) of 79^79:Let us first write down the prime factorization of 79 which is given by79 = 79So μ(79) will be given by:μ(79) = (-1)1 = -1

Therefore,μ(79^79) = μ(79)^79 = (-1)^79 = -1

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Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

1)  XY' + Z + X'Z' + YZ'

2) equation 2 is correct.

3) equation 3 is incorrect .

1)

Simplifying algebraically,

XY' +Z+ (X' + Y)Z'

So,

XY' + Z + X'Z' + YZ'

2)

D(A + B)(A + B')C

Simplifying,

(AD + DB) (A + B')C

Further,

ADC + AB'CD + ABCD + BB'CD

ACD + ABCD + AB'CD

= ACD

Thus equation 2 is correct .

Hence proved .

3)

(a + b)(b + c)(c + a) = f1

Simplifying further,

abc + ab + bc + ac = f1

Let f2 = (a'+ b')(b' + c')(c' + a')

Simplify further,

f2 = a'b'c' + a'b' + b'c' + a'c'

Here,

f1 ≠ f2

Thus we disprove equation 3 .

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Answer:

z=500

Step-by-step explanation:

since we know that the whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

250=750-z

-500=-z

z=500

The value of z for the function f(x)=150/x-z is z=500.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function f is defined by f(x)=150/x-z where z is a constant. The value of the function at x = 1/5 is 250.

The value of the constant z will be calculated as,

The whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

Simplify the equation and solve for the value of z,

250=750-z

-500=-z

z=500

Therefore, the value of z for the function f(x)=150/x-z is z=500.

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Answer:

1. -2x + 6y - 4

2. -6y - 1

3. -10x - 2y - 7

4. -2x - 6

5. 2x - 12y - 4

Step-by-step explanation:

1. 2x+3y-6-4x+3y+2

(2x-4x) + (3y+3y) + (-6+2)

-2x + 6y - 4

2. 4x-3y-3-4x-3y+2

(4x-4x) + (-3y-3y) + (-3+2)

-6y - 1

3. -8x+2y-8-2x-4y+1

(-8x-2x) + (2y-4y) + (-8+1)

-10x - 2y - 7

4. -X+Y-3-X-Y-3

(-x-x) + (y-y) + (-3-3)

-2x - 6

5. 4x-8y-6-2x+4y+2

(4x-2x) + (-8y-4x) + (-6+2)

2x - 12y - 4

The angle of depression should be 26.57 degrees so the security camera should be directed downwards from the wall.

To find the angle of depression, we can use the tangent function. Let's call the angle of depression "θ". The tangent of an angle is equal to the opposite side (the difference in height between the camera and the spot) divided by the adjacent side (the horizontal distance between the camera and the spot). So, in this case:

tan(θ) = 6/12 = 1/2

Now that we have the tangent value, we can use the inverse tangent function (arctan) to find the actual angle:

θ = arctan(1/2)

Using a calculator, we can find that the angle of depression is approximately 26.57 degrees. So the security camera should be directed downward at an angle of 26.57 degrees to be directed at the spot 6 feet above the floor and 12 feet from the wall.

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Answer: I need a picture to go along with it because I see nothing.

Step-by-step explanation:

Answer:

65 years old.

Step-by-step explanation:

Set up variables first:

\(U = 4A\\A = A\\U+ A = 65\)

U is the Uncle, A is Alex.

Substitiute U for the last equation.

\(4A + A = 65\)

Solve:

\(5A = 65\\A = 13\)

This means that Alex is 13 years old.

This also means that the Uncle is 52 years old.

Together they are 65 years old.

Hope this Helps!

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A nearby hamburger joint sold 416 hamburgers and cheeseburgers in total on Monday. 104 hamburgers were sold.

Given that,

A nearby hamburger joint sold 416 hamburgers and cheeseburgers in total on Monday. Three times as many cheeseburgers were sold as regular hamburgers.

We have to find on Monday, how many hamburgers were sold.

Let us take hamburgers were sold as h and cheeseburgers were sold as c.

Quantity equation is h+c=416

c=3h

Substitute c =3h in h+c=416

h+3h=416

4h=416

h=104

Now,

Substitute h=104 in c=3h

c=3×104

c=312

Therefore, 104 hamburgers were sold.

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1. The vertical intercept refers to the value of \(p\) when all other variables are held constant and \(q = 0\), \(l = 0\), \(y = 0\), and \(z = 0\). Substituting these values into the demand function, we get \(p = 100\). Therefore, the vertical intercept is 100.

2. The slope represents the rate at which \(p\) changes concerning \(q\), assuming other variables are held constant. In this case, when all other variables are held constant, the coefficient of \(q\) is -0.5. Thus, the slope of the demand function is -0.5.

3. The smallest value of the independent variable, \(q\), that makes economic sense within the domain of the demand function would depend on the specific context of the problem. Without additional information, it is not possible to determine the exact value.

4. Similarly, the largest number that makes sense in the domain of the demand function, considering \(p = 142.5 - 0.5q\), would depend on the specific context and constraints. Without further information, it is not possible to provide a precise value.

5. To draw a properly labeled picture of the demand function, you would need to plot a graph with the quantity (\(q\)) on the horizontal axis and the price (\(p\)) on the vertical axis. However, since the equation provided involves additional variables (\(l\), \(y\), and \(z\)), it is not possible to provide a complete graph without specific values for those variables.

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Answer:

Student tickets sold 66

Adult tickets sold 34

Step-by-step explanation:

x=6.     y=11

x+y=100. Multiply by -6

6x+11y=770 Then combine terms

5y=170 Divide 5 on both sides

y=34 Then do 100-34

x=66

This is the solution for the club to not earn anything but able to cover the fees.

The inequality form can be written as,

total revenue=66x+34y in this case total revenue=0

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

Explanation:

Compare the equation

\(y = (x-2)^2 - 4\)

to the vertex form

\(y = a(x-h)^2 + k\)

we have:

The vertex is located at (h,k) = (2, -4). Nice job on getting the correct answer for the vertex.

The axis of symmetry is x = 2 since the axis of symmetry goes through the vertex. It's the vertical mirror line.

Because a = 1 is positive, the parabola opens upward. It forms a bowl shape. The vertex is the lowest point.

If a < 0, then the parabola would open downward and have a highest point.

The polygon shape that possesses the bigger area from the two given is: Hexagon

Polygons are defined as closed shapes that are two-dimensional. They possess straight sides and have the same number of sides as they have angles. Polygons have names that relate to how many sides they have.

A hexagon has more sides than a pentagon.

A hexagon is a polygon that has six sides and a pentagon is a polygon that has five sides.

Now, the more sides the polygon has, the more area it covers inside the circle as it will obviously be wider.

Thus, we can infer that the hexagon will have a bigger area.

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Answer:

N-8

Step-by-step explanation:

If T is the midpoint of PQ and PT = 3x+3, TQ = 7x-9, then PT = 12 units.

Determining the Value of PT

It is given that,

T is the midpoint of PQ ........ (1)

PT=3x+3 ......... (2)

TQ=7x-9 .......... (3)

From (1), the distance from P to T and the distance from T to Q will be equal.

⇒ PT = TQ [Since, a midpoint divides a line into two equal segments]

Hence, equating the equations of PT and TQ given in (2) and (3) respectively, equal, we get the following,

3x + 3 = 7x - 9

or 7x - 9 = 3x + 3

or 7x - 3x = 9 + 3

or 4x = 12

or x = 12/4

⇒ x = 3

Substitute this obtained value of x in equation (2)

PT = 3(3) + 3

PT = 9 + 3

PT = 12 units

Thus, if T is the midpoint of PQ, then the measure of PT and TQ is equal to 12 units.

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The current population density on Plumeria Island is 125 people per square kilometer.

Plumeria Island is currently home to 500,000 people and spans 4,000 square kilometers. Last year, 150,000 children were born on the island and 50,000 people immigrated there. However, during the same period, 100,000 people died and 10,000 emigrated from the island.

To determine the current population density, we need to divide the total population by the total area. So, we divide 500,000 by 4,000 to get 125 people per square kilometer.

However, the paragraph states that the island could support up to 350 people per square kilometer. Since the current population density is lower than the island's capacity, it indicates that the island is not yet overcrowded.

In conclusion, the current population density on Plumeria Island is 125 people per square kilometer.

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Answer:

The answer to your question is option 3) 93,000,000 miles