MATHEMATICS MIDDLE SCHOOL

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

Answers

Answer 1
Answer: If you would like to find f(4), you can calculate this using the following steps:

f(1) = 16
f(n) = 3 * f(n-1) + 2
f(2) = 3 * f(2-1) + 2 = 3 * f(1) + 2 = 3 * 16 + 2 = 48 + 2 = 50
f(3) = 3 * f(3-1) + 2 = 3 * f(2) + 2 = 3 * 50 + 2 = 152
f(4) = 3 * f(4-1) + 2 = 3 * f(3) + 2 = 3 * 152 + 2 = 458

The correct result would be f(4) = 458.

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Post A and post B are 120 meters apart Post B and Post C are 300 meters apart. Ben cycled from post A to B in 15 sec and post B to post C in 55 sec. Find the average speed from post A to C

Answers

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What is the surface area of a prism whose bases each have area 16 m' and whose lateral surfacearea is 64 m2
A.80
B.144
C.96
D.160

Answers

a prism, like those two in the example in the picture below, will have two bases, one at the bottom and one atop, and then the sides.

now, this prism has two bases each of which is 16, and the sides are 64 altogether, so the surface area is simply 16 + 16 + 64 = 96.

Michael has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt what is the probability that he chooses blue or red?

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4 is the correct answer

Step-by-step explanation:

I just did the assignment and got 100

Rectangle with a side length of 11" and a diagonal of 14" what is the perimeter

Answers

Hello!

The answer is:

The perimeter of the rectangle is equal to 39.32".

Perimeter=39.32in

Why?

Since we are working with a rectangle, we can use the Pythagorean theorem to find the missing side of the rectangle and calculate its perimeter. We must remember that we can divide a rectangle into two equal right triangles.

According to the Pythagorean Theorem, we have:

a^(2)=b^(2)+c^(2)

Where:

a, represents the hypotenuse of the triangle which is equal to the diagonal of the given rectangle (14")

b and c are the other sides of the triangle.

Now, let be "a" 14" and "b" 11"

So, solving we have:

a^(2)=b^(2)+c^(2)

14^(2)=11^(2)+c^(2)

14^(2)-11^(2)=c^(2)

14^(2)-11^(2)=c^(2)\n\nc=\sqrt{14^(2) -11^(2) }=√(196-121)=√(75)=8.66in

Now, that we already know the the missing side of the rectangle, we can calculate the perimeter using the following formula:

Perimeter=2base+2length\n\nPerimeter=2*11in+2*8.66in=22in+17.32in=39.32n

Hence, we have that the perimeter of the rectangle is equal to 39.32".

Have a nice day!

Answer:

10sqrt3+22

Step-by-step explanation:

Ok, let us imagine it as a sort of rectangle split upon its diagonal.

Using that, we can Pythag it out,

11^2+b^2=14^2

121+b^2=196

b^2=75

b=sqrt75

b=5sqrt3

Ok, using this info, we find the perimeter,

5sqrt3+5sqrt3+11+11

10sqrt3+22

The answer is 10sqrt3+22

Which is the correct answer?

Answers

Answer:

a

Step-by-step explanation:

i've given a attachment that may help you with this work you are doing

*HELP PLEASE WILL THANK AND AWARD BRAINLIEST ANSWER*Given figure ABCD ~ figure KLMN, what is the value of y?   

A.1.2 cm  
B.3.6 cm 
C.4 cm 
D.12 cm

Answers

big trapezoid: upper base = 4 cm ; lower base = 12cm ; side = 10cm
small trapezoid: upper base = y ; lower base = ? ; side = 3cm

Figure ABCD is contracted into figure KLMN, this means that they have the same proportion as to the other sides of the figure.

side: 10 cm / 3cm = 3.33
upper base: 4cm / 3.33 = 1.20  value of y.
lower base: 12cm / 3.33 = 3.60

4/10 = 0.40 ; 1.20/3 = 0.40
4/12 = 0.33 ; 1.20/3.6 = 0.33
10/12 = 0.83; 3/3.60 = 0.833
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