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sammy [17]
3 years ago
12

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

Mathematics
1 answer:
lord [1]3 years ago
8 0
Hi,

f(1)=16
f(2)=f(1)+2*2=16+4=20
f(3)=f(2)+2*3=20+6=26
f(4)=f(3)+2*4=26+8=34

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Find the area of the trapezoid.
goldenfox [79]

Answer:

<h3>105m²</h3>

Step-by-step explanation:

AREA=

\frac{(a + b)}{2}  \times h

\frac{15 + 6}{2}  \times 10

=105m²

6 0
3 years ago
Write two formulas for the area of a triangle
kotegsom [21]

Answer:

Hi mate your answer is

Step-by-step explanation:

Area of traingle equal 1/2×base×height

We have divided by two this is because you know the are of a rectangle is base + height but a triangle is like cut rectangle into two half pieces of you look carefully than to make any traingle a rectangle you will have to take another on opposite side so that's why we divide it by two

If you need further help plz ask

8 0
3 years ago
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Workers on the assembly line produce 4x + 6 boats each day. Which expression shows how many boats they produced in 12 days?
vagabundo [1.1K]
The answer would be A. If 4x + 6 is the number of boats made in 1 day, then multiplying that by 12 would give us the number of boats made in 12 days so the equation would look like this:
12(4x + 6)
4 0
2 years ago
Read 2 more answers
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?
Marianna [84]

Answer:

Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Step-by-step explanation:

From the given graph  it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).

The formula to find x intercept.

x=\frac{m}{m+n}(x_2-x_1)+x_1

The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.

x=\frac{2}{2+5}(8-(-6))+(-6)

x=\frac{2}{7}(14)-6

x=4-6

x=-2

Therefore the x-coordinate is -2 and second option is correct.

6 0
2 years ago
Read 2 more answers
In another state, all license plates consist of from four to six symbols chosen from the 26 letters of the alphabet together wit
fredd [130]
A)
First note that the plates can have between 4 and 6 symbols so we will need to find the number of plates with 4 symbols, 5 symbols and 6 symbols. We add these to get the total. In this part repetition of symbols is allowed. Since there are 26 + 10 =36 possible symbols we look at each position on the plate and think of how many choices there are. We multiply the number f choices using the counting principal since the choices are each independent -- one symbol does not affect another. There are 36 choices for the first symbol, 35 for the second and so on. The number of plates is:
4-symbols = (36)(36)(36)(36)=36^4
5 symbols = (36)^5
6 symbols = 36^6
So the total here is: 36^4+36^5+36^6

B) Here we do not repeat symbols so there are 36 choices for the first symbol but only 35 for the next and 34 for the one after and so on.
4-symbols = (36)(35)(34)(33)
5 symbols = (36)(35)(34)(33)(32)
6 symbols = (36)(35)(34)(33)(32)(31)
So the total here is: (36)(35)(34)(33)+(36)(35)(34)(33)(32)+(36)(35)(34)(33)(32)(31)

c)
In order for there to be a repeated symbol we have 36 choices for the first symbol, 36 for the next and so on. However, for the last symbol we have to pick from one of the ones already selected so there are 3, 4 or 5 choices respectively.
4-symbols = (36)(36)(36)(3)
5 symbols = (36)(36)(36)(36)(4)
6 symbols = (36)(36)(36)(36)(36)(5)
So the total here is: (36^3)(3)+(36^4)(4)+(36^5)(5)

D)
The probability is given by (the number of plates with at least one repeated symbol)/(the total number of plates if repetitions are allowed) = (the answer to c) / (the answer to a)
3 0
3 years ago
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