(Zoom in to see the problem) Please help. I gotta turn this in in 2 hours it’s 5:43 am right now and I can’t figure this out

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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If the hypotenuse of PQR triangle is 5 and perpendicular is \(\sqrt{2}\),then value of sin²R is 2/25.

Given that the hypotenuse is 5 and perpendicular is \(\sqrt{2}\).

We are required to find the value of sin²R.

Trigonometric ratios are basically the ratios of the sides of the right angled triangle.

Sin is the ratio of perpendicular and hypotenuse of the right angled triangle. We can easily find the value of sin²R with the help of ratio of perpendicular and hypotenuse.

sin R=PQ/PR

sin R=\(\sqrt{2}\)/5

Squaring both sides,

sin² R=\((\sqrt{2} )^{2}\)/\((5)^{2}\)

sin²R=2/25

Hence if the hypotenuse is 5 and perpendicular is \(\sqrt{2}\),then value of sin²R is 2/25.

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Answer:

850

Step-by-step explanation:

500 times 0.7 plus 500

The amount in the account after 20 years is $49530.32.

What is continuous compounding?

There is no cap on how frequently interest can compound thanks to continuous compounding. A balance can compound continuously an infinite number of times, which means interest is earned on it constantly.

Given:

Lira will not make any further investments in the withdrawals from the account until it is worth $10000.

Suppose that the interest rate for the account is 8.0% , compounded continuously.

We have to find the amount in the account after 20 years.

Consider, the compounded continuously formula

\(P(t)= P_0e^r^t\)

Where

P(t) = Value at time t.

\(P_0\) = Original principle sum = $10,000

r = Interest rate = 8.0% = 0.08

t = time in years = 20

Plug the values in the above formula

\(P(t) = 10000e^0^.^0^8^*^2^0\\P(t) = 49530.32\)

Hence, the amount in the account after 20 years is $49530.32.

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Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

Answer:

Pedro: 1,482 hits

Ricky: 1,202 hits

Step-by-step explanation:

p + r = 2,684

p = r + 280

r + 280 + r = 2,684

2r = 2,404

r = 1,202

p = 1,202 + 280 = 1,482

Answer:

A. 53

Step-by-step explanation

You use tangent to find the angle measure of MAD.

Tan (x) = 16/12

x = 53 degrees

Answer:

||

Step-by-step explanation:

They are parallel, so ||

Answer:

Explanation:

Since (line b; line c) and (line b; line d) are both perpendicular and at a distance, they are parallel. If they are parallel, the correct sign would be ll.

An equation to model Mike's situation go Value = 1100 - 400x the slope is -400, indicating that the value decreases by $400 each year.The y-intercept of the equation is the initial value or the value of the computer when 'x' (the number of years) is zero.

1. To model Mike's situation, we can start with the initial value of the computer, $1,100, and subtract the depreciation amount of $400 each year. Let 'x' represent the number of years since Mike bought the computer. The equation to model Mike's situation is:

Value = 1100 - 400x

2. The slope of the equation represents the rate of change or the amount by which the value decreases per year. In this case, the slope is -400, indicating that the value decreases by $400 each year.

3. The y-intercept of the equation is the initial value or the value of the computer when 'x' (the number of years) is zero. In this case, the y-intercept is 1100, representing the initial value of the computer when Mike bought it.

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The 45th term of the sequence is 267.

The 45th term of a sequence can be calculated using the formula:

Tn = a + (n – 1)d

Where,

Tn = the nth term

a = the first term

n = the term position

d = the common difference

In this sequence, the first term is 3, the common difference is 6, and the term position is 45.

Therefore, the 45th term of the sequence is:

T45 = 3 + (45 – 1)6

T45 = 3 + (44)6

T45 = 3 + 264

T45 = 267

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Answer: True

Step-by-step explanation: This statement is true because when clusters are heterogeneous they are a "scaled-down version" of the population sampled. I hope this helped!

Answer:true

Step-by-step explanation:

Answer: scale factor = 1.5

Step-by-step explanation:

\(\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}\)

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

\(\text{For similar triangles, Corresponding sides are proportional.}\)

AB is corresponds DE (longest side of both triangles)

So, \(\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5\)

Hence, the scale factor = 1.5.

The valid reasons to use a sample instead of evaluating a much larger population are contacting the whole population would be only marginally more accurate than a sample. A sample can be chosen to validate a specific idea about the population.

Contacting the entire population would be time consuming.
1. Contacting the whole population would be only marginally more accurate than a sample: This is a valid reason because a well-designed sample can often provide an accurate estimate of the population, while using significantly fewer resources.
2. Sampling is a random process, and therefore more accurate than measuring the whole population: This statement is incorrect. A random sample can provide an unbiased estimate, but it is not necessarily more accurate than measuring the entire population.
3. A sample can be chosen to validate a specific idea about the population: This is a valid reason because sampling can be used to test hypotheses or ideas about the population without having to evaluate every member of the population.
4. Contacting the entire population would be time-consuming: This is a valid reason because sampling can save time and resources compared to attempting to gather data from every individual in a population.

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Answer:

D

Step-by-step explanation:

cus if you count the sides its 6 to 5 to 4 next is 3

Answer:

D

Step-by-step explanation:

6 sides -> 5 sides -> 4 sides -> 3 sides

Triangle has three sides so D.

Answer:

it is complementary angles.

hope it helps

Answer:

The angles are complementary angles.

Answer:

The perimeter is 80

Answer:

P = 80

Step-by-step explanation:

w = 10

L = 10 x 3

L = 30

P = L + L + w + w

P = 30 + 30 + 10 + 10

P = 80

Answer:

d'accord est-ce moi ou pas la même chose que j'ai fait

Answer:

29.33333... feet per second

Step-by-step explanation:

20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280

105600÷60=1760  You divide 105600 by 60 because there are 60 minutes in an hour

1760 ÷ 60  You divide it by 60 again because there are 60 seconds in a minute

Your answer is 29.33333...

Answer:

165 degrees Celsius

Step-by-step explanation:

Answer:

13.6125 kg

Step-by-step explanation:

luggage weight = 9/16 of weight limit

=9/16×24.2 kg

=13.6125 kg

\(\tt \dfrac{9}{16}\times 24.2=13.6125=13.61~kg\)

Answer:

C)

Step-by-step explanation:

The correct answer is C: Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4.

To solve the equation 4x = 12x + 20, Tony used the multiplicative property of equality but made an error in the application. The correct approach would be to multiply every term on both sides of the equals sign by the reciprocal of the coefficient of x, which is 1/4 in this case.

However, Tony only multiplied one term on each side by 1/4, resulting in equation x = 3x + 20. This action is incorrect because it does not apply the property to every term containing x. To solve the equation correctly, Tony should have multiplied both sides by 1/4, resulting in x/4 = (3x + 20)/4.

Answer:

y = 3x + 14

Step-by-step explanation:

Slope: 3

y-intercept: 2 - (3)(-4) = 2 + 12 = 14

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer: Yes

Step-by-step explanation:

Answer:

The answer is 3x-y-2=0

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate the slope using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = \(\frac{4-1}{2-1}\) = 3

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 3x - 2 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 2 , that is

3x - y - 2 = 0 ← in general form

Answer:

21

Step-by-step explanation:

5. (1+ 3.2)

5 x 1 = 5

5 x 3.2 = 16

16 +5  = 21.

= 21

Answer:

4.2

Step-by-step explanation:

1 + 3.2= 4.2

that is all u have have as explanation!

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

i hope this helps!

explanation:

part a.) 16 + 5m

part b.) if you walked 15 miles, you would earn $91. work:

16 + 5m

16 + 5(15)

16 + 75

91

A) 16+15m

B) 16+5m

16+5x15=91

Step by Step:

5x15=75

16+75=91

Answer:

V ≈ 2827.4 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius of the base and h is the height )

Here diameter = 20 , so radius r = 20 ÷ 2 = 10 , h = 9 , then

V = π × 10² × 9

   = π × 100 × 9

   = 900π

   ≈ 2827.4 cm² ( to 1 dec. place

Answer:

2,826 \(cm^3\)

Step-by-step explanation:

The formula for finding the volume of cylinder is V=πr^2h

height = 9 cm.

radius ( half of diameter)

20 ÷ 2 = 10

π = 3.14

Insert the values in the formula

\(V=πr^2h\\V=(3.14)(10^2)(9)\\V = (3.14)(100)(9)\\V = 2,826 cm^3\)