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Mama L [17]
2 years ago
13

Evaluate this exponential expression 7 • (6+2)^2 - 3^2=

Mathematics
1 answer:
Lelu [443]2 years ago
3 0

Answer: 441

Step-by-step explanation:

7*(6+2)^2-3^2

7*8^2-3^2

7*64-9

448-9

441

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F(1)=-12, f(n)=2f(n-1) <br> 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.

-----------------------------------

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.

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3 years ago
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Step-by-step explanation:

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4 years ago
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3 years ago
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Veterinarian needs to know an animal's weight in kilograms is 20 pounds is about 9 kilograms and a dog weighs 30 pounds use a ra
givi [52]
Pounds: 10  20  30
Kilos:      4.5   9  13.5

half of 20 is 10, and half of 9 is 4.5.  So every 10 pounds is 4.5 kilos.  Add 10 to 20 to get 30, and add 4.5 to 9 to get 13.5.  Both parts of the ratio table are increasing at the same rate (either 10 eachtime or 4.5 each time).  
8 0
3 years ago
A meal for two at at a restaurant cost $32.75.If the sales tax is 5%.whats the total price of the meal.
Lesechka [4]

Answer:

$34.39

Step-by-step explanation:

To find the sales tax, multiply 32.75 by 0.05 to get about $1.64. Add 1.64 to 32.75 to find the total price of the meal, $34.39.

5 0
3 years ago
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