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2 years ago

What is the equivalent to 16 3/4

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

5 0

Answer:

16 and 3/4 is 7/4

Step-by-step explanation:

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F(1)=-12, f(n)=2f(n-1) find first 4 terms

amid [387]

<h3>First four terms are: -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

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Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24) ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0

2 years ago

A maritime flag is shown. What is the area of the shaded part of the flag? Explain

Rom4ik [11]

Answer:

$Area = 72in^2$

Step-by-step explanation:

Your question is incomplete without an attachment (See attachment)

Required

Determine the area of the shaded part

From the attachment;

Assume that the shaded portion is closed to the right;

Calculate the Area:

$Area_1 = Length * Width$

$Area_2 = 8in * (6in + 6in)$

$Area_2 = 8in * 12in$

$Area_1 = 96in^2$

Next;

Calculate the Area of the imaginary triangle (on the right)

$Area_2 = \frac{1}{2} * base * height$

$Area_2 = \frac{1}{2} * (6in + 6in) * 4in$

$Area_2 = \frac{1}{2} * 12in * 4in$

$Area_2 = \frac{1}{2} * 48in^2$

$Area_2 = 24in^2$

Lastly, calculate the Area of the Shaded Part

$Area = Area_1 - Area_2$

$Area = 96in^2 - 24in^2$

$Area = 72in^2$

Hence,

The area of the shaded part is 72in²

3 0

2 years ago

Round 418 to the nearest ten.

marissa [1.9K]

Answer:

The answer should be 420.

Step-by-step explanation:

7 0

2 years ago

Ray MN and ray ML are two sides of an angle. What is a name of this angle?

Setler [38]

It is (c) NML
Because MN and ML is the vertex and the point meeting is M which is the angle.
The M is the angle because the common letter of both vertex is the letter M

7 0

2 years ago

Please hurry Thank you

miskamm [114]

I believe the answer is true.

8 0

3 years ago