What Is The Explicit Formula For This Sequence? (2024)

Answer:

y = 1/4x

Step-by-step explanation:

Answers:

smaller = 45larger = 135

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Explanation:

Let x and y be the two angles such that x < y. Also, we'll make both values to be positive numbers.

Since one angle is 1/3 of the other angle, this means

smaller angle = (1/3)*(larger angle)

x = (1/3)y

3x = y

y = 3x

The two angles add to 180 degrees since they are a linear pair. A linear pair of angles always forms a straight line.

x+y = 180

x+3x = 180

4x = 180

x = 180/4

x = 45

Use that x value to find y.

y = 3x

y = 3*45

y = 135

The two angles are x = 45 and y = 135

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Check:

x+y = 45+135 = 180

so the answer is confirmed.

Answer:

A

Step-by-step explanation:

Because I think so

Example of a permutation are as follows

A. The number of ways that 2 students can represent a school at a state competition.

B. The number of ways that 5 people can sit in a car with 5 seats.

What is permutation?

"Permutation is defined as the method of arranging the number of ways of the given object."

What is combination?

"Combination is defined as the method of selecting the given collection of object."

According to the question,

As per the definition of permutation and combination we have,

Option(A) represents the permutation as number of ways 2 students represent a school at a state competition.

Option(B) represents the combination as the selection of CD's from the collection of 100 CD's.

Option(C) represents the combination as the selection of 4 books out of 30 .

Option(D) represents the permutation as the number of ways that 5 people can sit in a car with 5 seats.

Hence, Option(A) and Option(D) are example of a permutation.

Learn more about permutation and combination here

https://brainly.com/question/13387529

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Answer:

Rotary motion.

Step-by-step explanation:

Motion describes the movement of objects with respect to time.

When an object performs a circular or rotary motion, every point on the object moves around a central point in a continuous manner. Examples of objects that performs circular motion are: blades of an electric fan, rotation of the earth about its axis, the wheel of a moving bicycle etc.

From the cited examples, it would be observed that all points on the objects moves around a fixed central point.

The opposite of a function is its inverse

The ordered pairs that represent the inverse of function f(x) are (-2,4), (-2,-2), (-2,-1)

From the function, we have the following ordered pairs

(x,y) = (4,-2), (-2,-2), (-1,-2)

The inverse of a function (x,y) is (y,x).

So, we have:

(y,x) = (-2,4), (-2,-2), (-2,-1)

Hence, the ordered pairs that represent the inverse of function f(x) are (-2,4), (-2,-2), (-2,-1)

Read more about inverse functions at:

https://brainly.com/question/16991390

The image graph for this question is missing, so i have attached it.

Answer:

The greatest amount of Rainfall is 16 times the least amount of Rainfall.

Step-by-step explanation:

From the image, we can see the average monthly Rainfall and the frequency of each size in inches.

The largest is 2 inches while the smallest is ⅛ inches.

We are basically required to find the number that will be multiplied by the least amount of Rainfall to get the greatest amount.

Thus, we will just divide the greatest amount of Rainfall be the least.

This is; 2 ÷ ⅛ = 16

Answer:

1476 termites after 7 days.

Step-by-step explanation:

initial population, P = 1200

rate of growth, r = 1.03

time, t = 7 days

Final population

= Pr^t

= 1200 (1.03^7)

= 1475.8

Answer:

$6 per week (ratio 6/1)

Step-by-step explanation:

18/3=6

30/5=6

Answer:

Step-by-step explanation:

(-3,-2)

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

Cos ( 37 ) = 30 / x

0.7986 = 30 / x

x = 30 / 0.7986

x = 37.5657

x = 37.5660

x = 37.5700

x = 37.6000

x = 37.6 yard

Answer:

Value of x is 30°

Step-by-step explanation:

Step 1: Find value of x by using the trigonometric ratio cosine of x. Here, given that adjacent side is 16 and hypotenuse is 18cos x° = adjacent side/hypotenuse = 16/18 = 8/9

x° = cos inverse(8/9) = 27.12° = 30° (Rounded off to nearest ten)

Step-by-step explanation:

#hopeithelpsstay safe and keep wellmark me as your brainliest pls

Answer: Approximately 17.8606 feet

Round this value however you need to. The exact length is sqrt(319)

In other words, sqrt(319) = 17.8606

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Work Shown:

a = 9 is one of the legsb = unknown is the other legc = 20 is the hypotenuse, aka longest side

Apply the pythagorean theorem to solve for b.

a^2+b^2 = c^2

9^2 + b^2 = 20^2

81 + b^2 = 400

b^2 = 400-81

b^2 = 319

b = sqrt(319)

b = 17.8606 which is approximate

I'm going with the approximate value it makes more sense to do so in this case. Saying "the length is sqrt(319)" to someone not familiar with math, would probably not convey just how long the third side must be. Round the value in bold however you need to.

Answer:

38.10511777

Step-by-step explanation:

Use calculator

Answer:

[tex]22\sqrt{3}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

$23551.67

Step-by-step explanation:

Answer:

I the answer would be 150 millimeters.

Answer: 150 mm

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Work Shown:

1 cm = 10 mm

15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15

15 cm = 150 mm

1= x^4-16

Given
(x^2-4)(x^2+4)

2. Answer B

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

y = 2x+4

Perpendicular lines, when you multiply their gradient, you will get -1. You can also find the negative reciprocal, which is 2. The point (0,4) is the y intercept, which is for. Hence, the equation is y=2x+4

Hope this helps!

Hi there!

»»————-　★　————-««

I believe your answer is:

65% has the greater value.

»»————-　★　————-««

Here’s why:

We can convert both numbers into decimals and then compare the values.

⸻⸻⸻⸻

[tex]\boxed{\text{Comparing Numbers:}}\\\\-------------\\\rightarrow\frac{16}{25}= 0.64\\\\\rightarrow 65\%=\frac{65}{100}=0.65\\ -------------\\\\\boxed{0.65 > 0.64}\\\\\text{Therefore:}\\\\\boxed{65\% > \frac{16}{25}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²

Answer:

x = 2

Perimeter = 22 cm

Area = 21 cm²

Step-by-step explanation:

=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;

6x - 4 = 8

6x = 8 + 4

6x = 12

x = 12/6

x = 2

Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;

Side 1 + Side 2 + Side 3 = Perimeter

8 + 8 + 6 = Perimeter

22 = Perimeter

Lastly to find the Area of the triangle, follow the formula of;

A = 1/2 (b * h)

A = 1/2 (6 * 7)

A = 1/2 (42)

Area = 21

Hope this helps!

Answer:

Step-by-step explanation:

5 red

3 blue

6 white

2 green

total 16 marbles.

Note: P(E) = probability of event E happening

P(~E) = probability of event E NOT happening.

We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.

A. choose one marble at random.

P(W) = 6 white / 16 total = 3/8

B. choose one marble at random.

P(~R) = (16-5)/16 = 11/16

C. choose one marble at random, then a second one without replacement,

there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.

P(BB) = (3/16)*(2/15) = 1 / 40

D. choose two with replacement

5 red out of 16 for first draw, still 5 red out of 16 for second draw.

P(RR) = (5/16)^2 = 25/256

Answer:

6

Step-by-step explanation:

Answer:

The answer would be 6

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

c = 50 + .2m

c = 50 + .2(200)

c = 50 + 40

c = 90

Answer:

the right answer is -5 (B)

Step-by-step explanation:

-(-5) +5(-5+2)

5 + -15 = -10

Answer:

B. r = -5 is the answer.

Answer:

y=15/16x+19/8

Step-by-step explanation:

Hi there!

We are given the points (6,8) and (-10, -7) and we need to find the equation of the line

There are 3 ways to write the equation of the line, but the most common format is slope-intercept form, or y=mx+b form, where m is the slope and b is the y intercept

First, we need to find the slope

The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1, y1) and (x2,y2) are points

Our (x1,y1), and (x2,y2) are (6,8) and (-10, -7)

we can label their values to avoid confusion:

x1=6

y1=8

x2=-10

y2=-7

substitute into the formula

m=(-7-8)/(-10-6)

m=15/16

so the slope is 15/16

here's our equation so far:

y=15/16x+b

we need to solve for b

Because the line will pass through (6,8) and (-10,-7), we can substitute either one of them into the equation to solve for b

Let's take (6,8) as an example

Substitute x as 6 and y as 8

8=15/16(6)+b

Multiply

8=45/8+b

subtract

19/8=b

therefore, the equation of the line is:

y=15/16x+19/8

Hope this helps! :)

Answer:

30:50 OR Can reduce it to 3:5

Step-by-step explanation:

30: 50 OR 3.5

Answer:

3 : 5

Step-by-step explanation:

30boys : 50girls= 30 : 50 = 30/50 = simplify = 3/5= 3/5 change into ratio is 3 : 53 : 5

Answer:

x = -6

Step-by-step explanation:

soln

given,

f(x) = 1

Now,

f(x) = 4x+11

or, -1 =4x +11

or,4x = 11+1

or, 4x = 12

or, x. =12/4

or x. = 3

Therefore, The value of x is 3.

Answer:

angle one=122 because it is using the alternate interior angle theorem

angle 2=58 because it is using the consecutive interior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58

since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle