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julia-pushkina [17]
3 years ago
5

If a(n)=24 which recursive formula could represent the sequence below? ...,24,88,664,8408,...

Mathematics
1 answer:
sesenic [268]3 years ago
3 1
24= 3*2^3  
88= 11*2^3
664= 83*2^3 -> 83=11+72 = 11 + 2^3*3^2
664=2^3 (11+2^3*3^2) = 88 +(2^3*2^3*3^2) = 88 +(24^2)

8408= 1051 * 2^3 -> 1051= 83+968 -> 968 = 2^3 * 11^2
8408= 2^3 (83+2^3*11^2) = 664 +(2^3*2^3*11^2) = 664 +(88^2)

So: 
a(n) = a(n-1) + a(n-2)^2

Lets check: 88+24^2= 664
664+88^2= 8408


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On a scale drawing of a fence, 3.75 inches represents 12 feet. Estimate the actual length of a second fence that is 2.8 in the d
MA_775_DIABLO [31]

In order to find the scale they are using first you must divide 12 by 3.75.

But since we get to estimate, the 3.75 will be made into a 4 because it's the whole number closest to 3.75.

12/4=3

Take your 3 inch scale and multiply it by 3 (we are using 3 instead of 2.8 because it's a whole number) to get the real life fence size.

3x3=9

The fence is about 9 feet.

3 0
3 years ago
X=4y,2x+y=18 solve by substitution show all work
Mkey [24]
Here is the math, did it on paper, sorry it’s blue. just add parenthesis around the x in the second equation and add what x equals. then solve as PEMDAS.

7 0
2 years ago
SOMEONE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST
VikaD [51]

Answer:

(2,1)

Step-by-step explanation:

This is the answer by substitution.

change 2x+y=5 to y=5-2x

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y=5-2(2)

y = 1

(x,y) = (2,1)

You're welcome!!!

6 0
2 years ago
A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?
Ierofanga [76]

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is <em>wl</em> or <em>width </em>x <em>length</em>, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Hope this helps!

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2 years ago
X:y=5:3 and x+y=56 work out the value of x-y
Vladimir79 [104]

x - y = 14

given the ratio x : y = 5 : 3

then let x = 5x and y = 3x, hence equation can be expressed as

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Hence x = 5 × 7 = 35 and y = 3 × 7 = 21

Thus x - y = 35 - 21 = 14


6 0
3 years ago
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