A sequence is defined recursively by f(1)=16 and f(n)=f(n-1)+2n. Find f(4)
1) 32
2) 30
3) 28
4) 34

Answers

Answer 1

Answer: $f(1)=16 \ \ \ and \ \ \ \ f(n)=f(n-1)+2n \n \nf(2)=f(1)+2\cdot2=16+4=20\n \nf(3)=f(2)+2\cdot3=20+6=26\n \nf(4)=f(3)+2\cdot4 =26+8=34$

$Ans.\ 4)$

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Take twice the number from the product of 7 and the number, the result is 32

Answers

twice means 2 times
product means multiply
result means equals

2 times (7 times number)=32
divide both sides by 2
7 times number=16
divide both sidse by 7
number=16/7

The sum of two numbers is 35. twice the first number is equal to 5 times the second number. find the two numbers

Answers

label your numbers (I'm picking x and y)
x+y=35
2x=5y
find the relationship between your numbers
x=35-y
apply this to the other equation
2 (35-y)=5y
now simplify to find y
70-2y=5y
70=7y
y=70/7=10
now apply your newly found y to find x
x+10=35
x=25
check your answers
2 (25)=5 (10)
50=50
so our first number x is 25 and our second number y is 10

∆STV ~ ∆PQR. Find m∠P.129

9

86

6

Answers

Answer: $86^(\circ)$

Step-by-step explanation:

Given : $\triangle{STV}\sim\triangle{PQR}$

We know that the corresponding angles of two similar triangles are congruent.

i.e. $\angle{S}\cong\angle{P}$ (1)

$\angle{T}\cong\angle{Q}$

$\angle{V}\cong\angle{R}$

From the given picture , we have $\angle{S}=86^(\circ)$

Then from (1), $\angle{P}=86^(\circ)$

Hence, $\angle{P}=86^(\circ)$

m < P = m < S becuase the triangles are similar.

m < P = 86 degrees

PLEASE HELP RIGHT NOWYou randomly choose one hat from 3 green hats, 4 black hats, 2 white hats, 2 red hats, and 1 blue hat.

Find the probability of the event: NOT choosing a white hat

Answers

The probability of not choosing a white hat = 10/12 = (simplified) 5/6

Answer:

10/12

Hope it helps.

A rectangle has a perimeter of 238 meters and a length of 67 meters what is the area of the rectangle

Answers

Answer:

3,484 meters squared

Step-by-step explanation:

Since it’s a rectangle, opposite sides are the same length. This means 2 of the sides are 67 meters each, since the length of the rectangle is 67 meters. To find the width, add the 2 sides together that we know the length of (in this case it would be 67+67) and subtract it from the total perimeter (238-[67+67]). Take the result (104) and divide it by 2 (104÷2=52). Now that we know the width is 52 meters, you can find the area by multiplying the length times the width (67*52=3,484 meters)

Remember that the perimeter is the total length around the outside of the shape, and the area is the space inside of the shape

I’m not good at explaining things but I hope this helps!

Find the value of cos 7pi/6

Answers

The value of cos 7pi/6 = -√3/2.

$cos 7 /6= cos ( + /6) = cos (/6) = -√3/2.$

What is the value of cos?

cos The value of 1 degree is 0.9998476. .. .. Cos 1 degree radians are written as cos (1 ° x π / 180 °). H. cos (0.017453. .. .. ). This article describes how to find the value of cos1 using an example. Cos1 °: 0.9998476.

Trigonometric functions, fields of mathematics related to specific trigonometric functions, and their computational applications. There are six trigonometric functions commonly used in trigonometric functions. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), second (sec), and cosecant (CSC).

A function of arc or angle (sine, cosine, tangent, cotangent, second, cotangent, etc.) is most easily expressed by the ratio of the pair of sides of a right triangle.

Learn more about the value of trigonometry function here: brainly.com/question/8120556

#SPJ2

Answer: -√3/2

Step-by-step explanation: cos 7 /6= cos ( + /6) = cos (/6) = -√3/2

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Im taking the common core algebra 1 regent and im horrible at math and on top of that i have a really bad math teacher and learned no math this year can some on help he find a site or anything that can help me get at least a 70 (ps. im not a bad student i just hate math my other regents i got high 90's)