Mathematics College

Khanacademy Units: Sequences
What does f(3) equal?

Answers

Answer 1

Answer:

f(3) = 100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{f(1) = 4} \atop {{f(2) = 25} \atop {f(n) = f(n - 2) \cdot f(n - 1)}} \right.[/tex]

Step 2: Evaluate

Substitute in n [Function f(n)]: f(3) = f(3 - 2) · f(3 - 1)Simplify: f(3) = f(1) · f(2)Substitute in function values: f(3) = 4 · 25Multiply: f(3) = 100

Related Questions

An educational psychologist wondered whether there was a relationship between the amount of academic pressure a high school student felt and their plans for college. They surveyed a random sample of 300 high school students throughout the country about their college plans and whether they felt academic pressure. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts):
Chi-square test:
Planned years of college vs. feeling academic pressure now
O years Up to 4 years Up to 4 years More than 4 years Total
Yes 31 48 161 240
31.2 48 160.8
No 8 12 40 60
7.8 12 40.2
Total 39 60 201 300
They want to use these results to carry out a xạ test of independence. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?
What are the values of the test statistic and P-value for their test?
A. x² = 0.002;
0.001 < P-value < 0.0025
B. x² = 0.002;
P-value > 0.25
C. x² = 0.007;
0.005 < P-value < 0.01
D. x² = 0.007;
P-value > 0.25

Answers

Answer:

D. x² = 0.007;

P-value > 0.25

Step-by-step explanation:

The observed and expected values are given below :

Yes____31 48 161 ____240

______31.2 48 160.8

No ____ 8 12 40_____ 60

______7.8 12 40.2

Total __ 39 60 201 ___300

The Chisquare statistic, χ²:

Σ(Observed - Expected)²/ Expected

Chi-Squared Values:

0.00128205 __ 0 __ 0.000248756

0.00512821 __ 0 __ 0.000995025

(0.00128205 + 0 + 0.000248756 + 0.00512821 + 0 + 0.000995025 )

= 0.007654041

The degree of freedom = (row - 1) * (column - 1)

Degree of freedom = (2-1)*(3-1) = 1*2= 2

The Pvalue = 0.9962

Pvalue > 0.25

The answer and how to find the answer

Answers

Answer:

x = 1.9

Step-by-step explanation:

Thanks to a theorem we can use this proportion

10.47 : 4.44 = 4.44 = x

x = (4.44^2)/10.47 = 1,882865 = 1.9

What are the values of A, B, C, and D?
A = 0; B = 1; C = -3; D = 3
A = 0; B = 1; C = 3; D = -3
A = 1; B = 0; C = -3; D = 3
A = 1; B = 0; C = 3; D = -3
Don’t know real answer

Answers

A=1;b=0;c=3 d=23234422

The values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3

How to solve for A, B, C and D?

From the question, we have:

x^3 + 8x - 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D

Collect like terms

x^3 + 8x - 3 = Ax^3 + Bx^2 + 5Ax + Cx + 5B + D

By comparing the coefficients, we have:

Ax^3 = x^3

Bx^2 = 0

5Ax + Cx = 8x

5B + D = -3

Remove the x factors

A = 1

B = 0

5A + C = 8

5B + D = -3

Substitute A = 1 in 5A + C = 8

5(1) + C = 8

Solve for C

C = 3

Substitute B = 0 in 5B + D = -3

5(0) + D = -3

Solve for B

D = -3

Hence, the values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3

Read more about partial fractions at:https://brainly.com/question/18958301

#SPJ6

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4?

Answers

y = mx + c

m = gradient

gradient of line:
[5 - (-3)]/[(-1) - (-3)]
= 8/2
= 4

y = mx + c
subsitute (4, 0)
0 = (4)(4) + c
0 = 16 + c
c = -16

equation of the line:

y = 4x - 16

hope this helped :)

Answer:

4, -16

Step-by-step explanation:

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of elevation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?

Answers

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

find the area of the triangle 15cm, 18cm, 5cm

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]32.62\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] is given by:

Let [tex]s=\frac{a+b+c}{2}[/tex] (semi-perimeter)

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

We're given three side lengths with lengths 15 cm, 18 cm, and 5 cm. Therefore, the semi-perimeter, [tex]s[/tex], is equal to [tex]\frac{15+18+5}{2}=\frac{38}{2}=19[/tex].

Thus, the area of this triangle is:

[tex]A=\sqrt{19(19-18)(19-15)(19-5)},\\A=\sqrt{19\cdot 1\cdot 4\cdot 14},A=\sqrt{1064}=32.6190128606\approx \boxed{32.62\:\mathrm{cm^2}}[/tex]

(a+b)²=hihihihihihihihiihihihi

Answers

Answer:

(a+b)²=a²+b²+2ab

Step-by-step explanation:

The square of sum of two terms is equal to the squared plus squared plus times product of and . In mathematics, the plus whole squared algebraic identity is called in three ways. The square of sum of two terms identity.

Which is equivalent to f/125)*? O 125+ 0 1254 125" C. 125/11

Answers

Answer:

I think choose (1)

[tex]125 ^{ \frac{1x}{3} } [/tex]

xác định m để 3 vector sau đây phụ thuộc tuyến tính
u=(m+1,1,m+1),v=(1,1,1),u(2,0,m+2

0

Answers

Answer:

i dont know hahaha

Step-by-step explanation:

soryy

Bạn dự định một năm nữa kể từ hôm nay, bạn sẽ mở một tài khoản tiết kiệm 100 triệu đồng với lãi suất niêm yết của ngân hàng là 8%/ năm
a, Nếu bạn chia tài khoản tiền gửi 100 triệu đônbf ghành 5 tài khoản tiền bằng nhau, mỗi tài khoản 20 triệu đồng để gửi vào cuối năm 1,2,3,4 và 5 thì số dư tài khoản tiền gửi của bạn sẽ là bao nhiêu vào cuối năm thứ 5, với lãi suất 8%/năm và ghép lãi hằng năm ?

Answers

Answer:

Sorry dont understand

Find the area of the composite figure.

Answers

Answer:

25m²

Step-by-step explanation:

it might be helpful for you

Solve the equation for x in terms of c.
2/3(cx+1/2)-1/4=5/2

Answers

Answer:

Step-by-step explanation:

The answer you have chosen is not correct. Let's walk through the simplification process, shall we?

Begin by adding over the 1/4, after you find the common denominator, that is. 5/2 with a denominator of 4 is 10/4:

[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}[/tex] and then multiply both sides by the reciprocal of 2/3:

[tex]cx+\frac{1}{2}=\frac{33}{8}[/tex] then subtract the 1/2 in the form of 4/8 (common denominator and all...) to get

[tex]cx=\frac{29}{8}[/tex] and finally divide both sides by c to get

[tex]x=\frac{29}{8c}[/tex] That's choice C.

I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST

Answers

Answer:

2 liter = 2000 ml

2000/250 = 8 bottles Step-by-step explanation:

The labelled quantity has been rounded to the nearest ml
The actual quantity will be between 249.5000 and 250.4999 (7 sf)
This can also be written as 249.5 <= x < 250.5
Or as the interval [249.5, 250.5) which means from 249.5 (including 249.5) to 250.5 (excluding 250.5)
If the quantity was 250.5 it would round up to 251.

Is 9/54 equivalent to 1/3

Answers

Answer: No.

Step-by-step explanation:

9/54 is equal to 1/6

Answer:

no, it is not

Step-by-step explanation:

9/54 can be simplified by dividing both sides by 3, getting 3/18. you can do this again and get 1/6. significantly smaller that l/3

You are working as an office apprentice for the bksb Newcastle Arena. You are helping collect a customer satisfaction survey for the arena. Enter the following replies into the table below.

Answers

Answer:

Step-by-step explanation:

Question 7(Multiple Choice Worth 1 points)
(02.08 LC)
To follow appropriate safety procedures, what should soccer players wear?
Goggles
Helmets
Mouth pieces
Shin guards

Answers

Answer:

The answer is Mouth pieces

The piece of safety equipment that should be worn when painting a ceiling is safety goggles. The correct option is c.

What are safety goggles?

Safety goggles are worn on the eyes. They are worn to get safety from sun, wind, and dust. If we work in a factory or some mechanical work, then goggles are must save eyes.

Here, we have,

When working with the ceiling, it has a chance to damage your eyes with the plaster and paint, so wearing safety goggles is necessary.

Thus, the correct option is c. safety goggles, in regard to being worn when painting a ceiling.

Learn more about safety goggles, here:

brainly.com/question/17225935

#SPJ2

Complete question:

Which of these pieces of safety equipment should be worn when painting a ceiling

a knee guards

b helmet

c safety goggles

d mouth guard

Given the quadriceps function ,y=ax2+bc+c what happens to the graph when "a" is a positive?

Answers

Answer:

When "a" is positive, the parabola opens upwards and the vertex is the minimum value.

Step-by-step explanation:

A rectangular Carrer has a perimeter of 240cm breadth of 50cm.What is it's length

Answers

Step-by-step explanation:

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:

Perimeter of Rectangle = 2 × Length + 2 × Breadth

The perimeter can be represented using a model as below.

Perimeter = Length + Breadth + Length + Breadth

= 2 × Length + 2 × Breadth

Length + Breadth = Perimeter ÷ 2

what'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS

Answers

Answer:

Step-by-step explanation:

5 l 25,55

l 5,11

In a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month. Find a 95% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.

Answers

Answer:

The correct answer is "0.3410, 0.4990".

Step-by-step explanation:

Given values are:

[tex]n=150[/tex]

[tex]p=\frac{63}{150}[/tex]

[tex]=0.42[/tex]

At 95% confidence interval,

C = 95%

z = 1.96

As we know,

⇒ [tex]E=z\sqrt{\frac{p(1-p)}{n} }[/tex]

By substituting the values, we get

[tex]=1.96\sqrt{\frac{0.42\times 0.58}{150} }[/tex]

[tex]=1.96\sqrt{\frac{0.2436}{150} }[/tex]

[tex]=0.0790[/tex]

hence,

The confidence interval will be:

= [tex]p \pm E[/tex]

= [tex]0.42 \pm 0.079[/tex]

= [tex](0.3410,0.4990)[/tex]

What is the standard form of 14587.25

Answers

Answer:

fourteen thousand five hundred and eighty seven point twenty five.

Step-by-step explanation:

The given number is 14587.25.

We need to write it in standard form.

7 is in ones place, 8 is in tens place, 5 is in hundreds place, 4 is in thousands place and 1 is in ten-thousands place.

So,

14587.25 = fourteen thousand five hundred and eighty seven point twenty five.

i need to see the steps for simplifying 3(m-5)+m

Answers

Answer:

4m - 15

Step-by-step explanation:

a( x + y) = ax + ay

[tex]3( m - 5 ) + m\\\\3m - 15 + m \\\\4m - 15[/tex]

Answer:

4m-15

Step-by-step explanation:

Distrubite 3 through the parentheisis

3m-15+m

Collect like terms

4m-15

Solve:
n = 8
4
O n = 2
0 n = 12
Ô n = 24
0 n = 32

Answers

Answer:

1/4 n = 8

n = 8 * 4

n = 32

so option 4 i.e.

n = 32. is the ans

Answer:

n=32

Step-by-step explanation:

Given :

[tex]\frac{1}{4} n=8[/tex]

Now,

Value of n can be calculated as :

[tex]\frac{1}{4} n=8[/tex]

n=8×4

n=32

Therefore, option (D) is correct.

seventy four lakh nine thousand eleven in numeral form

Answers

Seventy Four Lakh , Nine Thousand And Eleven=

7409011

Receipt-of-goods discounts tend to be offered in cases where?

Answers

The invoice is enclosed with the goods and arrives at the time that they do

What is the value of the expression 3m-4.2 If m equals 2.1

Answers

Answer:

2.1

Step-by-step explanation:

Given :

3m-4.2 where, m=2.1

Now,

3(2.1)-4.2

6.3-4.2

2.1

Answer is 2.1

Can you solve this problem

Answers

Answer:

x = 18

Step-by-step explanation:

8 x 18 - 3 = 141

The answer is to your question is 18

Consider the expression 63+81 how can you use the distributive property and the gcf to find an equivalent expression?explain how you can check your answer

Answers

Step-by-step explanation:

63+81

gcf = 9

63÷9=7, 81÷9=9

so, 63+81 = (9×7)+(9×9)

= 9×(7+9)

63+81 = 144

9x(7+9) = 9×16 = 144

Calculate the area of the following Circle

Answers

Answer:

324

Step-by-step explanation:

Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.

Ms. Harlow had 56 tickets. She gave 2 tickets to each of her 21 students.
Which set of equations shows how many tickets Mrs. Harlow had left?
21 x 2 = 42
OA)
56 - 42 = 14
56 - 21 = 35
ОВ)
35 - 2 = 33
21 x 2 = 42
OC)
56 + 42 = 98
56 - 21 = 35
OD)
35 + 2 = 37

Answers

Answer: 56 - 42

Step-by-step explanation: She gave 2 to EACH of her 21 students. So 2 * 21 = 42. 56 - 42

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Khanacademy Units: Sequences What does f(3) equal?

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Khanacademy Units: Sequences
What does f(3) equal?