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const2013 [10]
3 years ago
14

Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?

Mathematics
1 answer:
Mashutka [201]3 years ago
8 0

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

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4 × (3 + 7) = (4 ×[]) + (4 ×[])
Naily [24]

Answer:

4 × (3 + 7) = (4 ×7) + (4 × 3)

Step-by-step explanation:

If you go by the order of PEMDAS you would do the parentheses first. 3 + 7 =10. 10 × 4 = 40. Then you would just use the distributive property and do (4× 7) + (4 × 3)

4 × 7 = 28 and 4 × 3 = 12 28 +12 =40

8 0
3 years ago
In the figure below, UX and UV are tangent to the circle centered at 0. The segment XV passes through the center of the
Karo-lina-s [1.5K]

Answer:

2.5

Step-by-step explanation:

The computation of the XW is shown below

As triangle UVX is a right angle

So

VU^2 = XU^2 - VX^2

VU^2 = 15.7^2 - 8.5^2

VU^2 = 246.49 - 72.25

VU^2 = 174.24

VU = 13.2

As VU = WX because of same point tangent

NOw XW is

= UX - UW

= 15.7 - 13.2

= 2.5

8 0
3 years ago
Area for a kite<br> I don’t know how to find the area pls help
dusya [7]

Answer:

63.966

Step-by-step explanation:

Area of a kite is

\frac{pq}{2}

where p and q are the diagonals.

The horinzontial diagonal is 8.

We need to find the vertical diagonal length.

The top triangle diagonal measure is

{4}^{2}  +  {x}^{2}  =  {7}^{2}

16 +  {x}^{2}  = 49

{x}^{2}  = 33

x =  \sqrt{33}

The bottom triangle diagonal measure is

{4}^{2}  +  {x}^{2}  =  {11}^{2}

1 6 +  {x}^{2}  = 121

{x}^{2}  = 105

x =  \sqrt{105}

Add the two diagonals.

\sqrt{105}  +  \sqrt{33}

Substitute this in for the formula

\frac{8 \times ( \sqrt{105}  + \sqrt{33}  }{2}

Which simplified gu

Ives us

63.966

Round if neededd.

7 0
3 years ago
Plead help asap im on assement
marshall27 [118]

Answer:

18.7 m/h

Step-by-step explanation:

I believe that is the correct answer because it shows the answer is going to be m/h (meter/hour) so then you would just divide the meters over the hours.

768.57 / 41.1 = 18.7 m/h

3 0
3 years ago
3. Lucas bought grapes to bring to his class party. After the party,
Paul [167]

Answer: 4.2 lbs

Step-by-step explanation:

Amount of grapes he had (in pounds) = 1.9 + 2.3 pounds

Amount of grapes he had (in pounds) = 4.2 pounds

4 0
3 years ago
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