If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).

Answer:

297 ft squared

Step-by-step explanation:

find the area of the triangle, which is (bh)/2

(22*7)/2=77

find the area of the rectangle (bh)

22*10=220

add

77+220=297

Answer:

Perimeter of rectangle = 14x - 2

Area of rectangle = 10x² + x - 2

Step-by-step explanation:

Finding the perimeter of the rectangle:

⇒ Perimeter of rectangle = 2(L) + 2(B)

⇒ Perimeter of rectangle = 2(2x + 1) + 2(5x - 2)

⇒ Perimeter of rectangle = 4x + 2 + 10x - 4

⇒ Perimeter of rectangle = 14x - 2

Finding the area of the rectangle:

Area of rectangle = LB

⇒ Area of rectangle = (2x + 1)(5x - 2)

⇒ Area of rectangle = 10x² - 4x + 5x - 2

⇒ Area of rectangle = 10x² + x - 2

Answer:

Perimeter = 14x - 2

Area = 10x² + x - 2

Step-by-step explanation:

Formulae

(where W is the width and L is the length)

Given information

Perimeter

⇒ Perimeter = 2(2x + 1) + 2(5x - 2)

                     = 4x + 2 + 10x - 4

                     = 14x - 2

Area

⇒ Area = (2x + 1)(5x - 2)

             = 10x² - 4x + 5x - 2

             = 10x² + x - 2

Answer:

68 and 22 degrees

Step-by-step explanation:

Complimentary angles sum to 90

x  +   (x-46) = 90

2x = 90 + 46

2x = 136

x = 68    and the other is 68 - 46 = 22

Answer:

7/2(a+b)

Step-by-step explanation:

To add fractions you need to find the LCM (least common multiplier) and then combine.

least common multiplier of a+b, 2(a+b) : 2(a + b)

Adjust fractions based of LCM

2/2(a + b) + 5/2(a +b)

2+5/2 (a + b) =

7/2 (a + b)

I hope this makes sense! :)

Using the z-distribution, it is found that the data provides convincing evidence that the proportion has increased.

At the null hypotheses, it is tested if the proportion has not increased, that is, the difference of the 2017 proportion and the 2014 proportions is not positive, hence:

[tex]H_0: p_2 - p_1 \leq 0[/tex]

At the alternative hypothesis, it is tested if the proportion has increased, hence:

[tex]H_1: p_2 - p_1 > 0[/tex]

For each sample, they are given by:

[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]

[tex]p_2 = 0.383, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{p} = p_2 - p_1 = 0.383 - 0.197 = 0.186[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.186 - 0}{0.0845}[/tex]

z = 2.2

Considering a right-tailed test, as we are testing if the proportion is higher than a value, the critical value at the 0.05 significance level is [tex]z^{\ast} = 1.645[/tex].

Since the test statistic is greater than the critical value for the left tailed test, the data provides convincing evidence that the proportion has increased.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Answer:

50.0in²

Step-by-step explanation:

C=2πr

25.12/2π=r

r=3.99(taking π=22/7)

Area=πr²

=22/7×(3.99)²=50.0in²

Answer:

Step-by-step explanation:

Exponent rule:

[tex]\boxed{(a^{m})^{n}=a^{m*n}}[/tex]

[tex](x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\[/tex]

           [tex]=x^{2*2}\\\\=x^{4}[/tex]

Answer:

Its C

Step-by-step explanation:

Why? because its C

[tex]y = 2x - 7[/tex]

should be it

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

From the table, we have

The amount of the savings will be

Saving amount = $ 20

Then the amount of the expense will be

Expense amount = 150 + 75 + 2 = 227

Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be

→ savings amount - expense amount

→ 20 - 227

→ $ 207

Thus, the expense amount is more than the savings amount. No, it's short $207.

More about the statistics link is given below.

https://brainly.com/question/10951564

Answer:

2 years

Step-by-step explanation:

If it is annunal I think it would be 2 years

5 x annual year (year) =2

Answer:

0.13 miles per minute

Step-by-step explanation:

If you walk 8 miles in an hour, that is 8 miles per 60 minutes. We can divide 8 by 60 to get the miles per minute because there are 60 minutes in an hour. 8/60 = 0.13 (3 is repeating)

The system of equations of the number of bottles in both classes has two distinct equations

Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

The given parameters are:

Mr. Sanchez = $1.73

Mr. Kelly = $1.44

Represent the number of bottles in both classes with x and y,

So, we have the following equations

1.73x + 1.44y = 130.83

x + y = 83

Next, we plot the graphs of the equations

From the graph (see attachment), we have:

(x,y) = (39,44)

Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

That would be the second option:  Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

-yOuR nEiGhbOrhOoD cLEaNeR ;)

Answer:

All are complementary angles

Step-by-step explanation:

See attachment

Answer: [tex]\frac{12}{19}[/tex]

The quotient of 36 and a whole number increased by 3, is 20 less than four times the number. The solution to the algebraic equation here are 6 and -4.

An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.

The algebraic equation becomes =

[tex]\frac{36}{x+3}-20 = 4x\\[/tex]

We simplify the equation to find the value of x.

[tex]=\frac{36}{x+3}+20 = 4x\\\\= \frac{36}{x+3} = 4x -20\\\\= \frac{36}{x+3} = 4(x-5)\\\\=36 = 4(x-5)(x+3)\\\\=9 = (x-5)(x+3)\\\\=x^2-5x+3x -15 = 9\\\\= x^2-2x-24=0\\\\=x^2-6x+4x-24=0\\\\=x(x-6)+4(x-6) =0\\\\=(x+4)(x-6) =0\\\\x = -4,6[/tex]

Learn more about algebraic equation here

https://brainly.com/question/29131718

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Answer:

a = 70 degrees.

Step-by-step explanation:

Use this circle angle theorem:

The angle subtended by an arc at the center of a circle = 2 times the angle subtended by the arc on the circumference.

So m < a = 1/2 * 140 = 70 degrees.

Answer:

ok it's a good question... so answer to that is... I also don't know..

If the monthly payments mad s $200, the number of months it would take to pay off the loan is 46.54 months.

The first step is to determine the total value of the loan.

Total value of the loan = (1 + interest) x amount of the loan

Amount of the loan = 9000 - 500 = $8,500

Total value of the loan = (1.095) x $8500 = $9307.50

Number of months it would take to pay off the loan = total value of the loan / monthly payments

$9307.50 / 200 = 46.54 months

To learn more about loans, please check https://brainly.com/question/25811386

[tex]\text{Given that,} \sin x = \dfrac{\sqrt 5}3,~~ \text{and}~~~ \sin y =\dfrac{\sqrt 2}2\\\\\\~~~~~~~\sin x = \dfrac{\sqrt 5}3\\\\\implies \sin^2 x = \dfrac 59\\\\\implies 1- \cos^2 x = \dfrac 59\\\\\implies \cos^2 x =1- \dfrac59 \\\\\implies \cos^2 x = \dfrac 49\\\\\implies \cos x = \dfrac 23~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\\\[/tex]

[tex]~~~~~~\sin y =\dfrac{\sqrt{2}}2\\ \\\implies \sin y = \dfrac 1{\sqrt 2}\\\\\implies \sin^2 y = \dfrac 12\\\\\implies 1-\cos^2 y = \dfrac 12\\\\\implies \cos^2 y = 1-\dfrac 12=\dfrac 12\\\\\implies \cos y = \dfrac 1{\sqrt 2}\\\\\\[/tex]

[tex]\text{Now,}\\\\\cos(x+y) = \cos x \cos y - \sin x \sin y\\\\\\~~~~~~~~~~~~~~=\dfrac 23 \cdot \dfrac 1{\sqrt 2}- \dfrac{\sqrt 5}3 \cdot \dfrac 1{\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{2- \sqrt 5}{3\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{\sqrt2\left(2 -\sqrt 5 \right)}6[/tex]

Answer:

The answer should be about 114.

Step-by-step explanation:

Of you look at the shape of the other angles. B and D seem to be about 90 and the shape of A is just a little bit bigger than ninety. I started by adding 78, 90, and 90 together which gave me 246. Then I subtracted 246 from 360 which gave me 114. I had estimated the answer to be around 110.

Answer:

180 - 90 - 60

Step-by-step explanation:

all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30

Answer:

30

Step-by-step explanation:

A triangle always = 180 degrees :)

So first we can add :D

60 + 90 + a = 180

150 + a = 180

Now we subtract :)

180 - 150 = 30

The answer is 30!

Have an amazing day!!

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Answer:

it is 35.91, 36 to the nearest cent

Step-by-step explanation:

I don't know how to explain it to u sorry

Answer:

directly before 5/4

Step-by-step explanation:

graph a straight vertical line directly before 5/4

or maybe it's just asking for where the value 1 should is and it's the same.

Answer:

It is the line to the left of 5/4

Step-by-step explanation:

it goes 5/4 then 4/4 or 1 then 3/4,  2/4, 1/4 then 0

Answer: 214 degrees

Step-by-step explanation:

Answer:

the answer is 3.

Step-by-step explanation:

mode if what numberhappens most often