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Deffense [45]
3 years ago
8

The area ( l x w ) of the postcard is 24 square inches. What is the width b of the message (in inches)?

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

area = (l)(w)(h)

24 = 4(3 + b)

24 = 12 + 4b

-12 on both sides

12 = 4b

/4 on both sides

b = 3 inches

Substitute b = 3 inches in width

3 + b

3 + 3 = 6 inches

Answer:

width = 6 inches

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Provide a recursive definition of the function f(n) = (n+1)!.
fiasKO [112]

Answer:

See definition below

Step-by-step explanation:

Since we have to give a recursive definition, we must give a initial value f(0). Additionally, the value of f(n) must depend on the value of f(n-1) for all n≥1.

The required value of f(0) is (0+1)!=1!=1.

Now, the factorial itself is a recursive function, because (n+1)!=(n+1)n!. In terms of f, this means that f(n)=(n+1)f(n-1) for all n≥1.

Then, our definition is: f:N→N is defined by

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8 0
3 years ago
What is the answer ?
pentagon [3]

Answer:

in order for your fraction to equal 3 you need to have 9/3 which will equal 3. so what minus 1 will get you 9? 10 will. x=10

10-1/3

9/3

3=3

5 0
3 years ago
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Suppose f(x)=x^2 what is the graph of g(x)=f(2x)
Naddika [18.5K]

Answer:

Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):

g(x) = f(2x) = (2x)² = 4x²

Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:

7 0
3 years ago
What is the volume of a sphere with radius of 16 inches? Use 3.14 for π. 200.96 in3 17,148.59 in3 1071.79 in3 4287.15 in3
crimeas [40]

Answer:

17148.59 in^3

Step-by-step explanation:

This volume is calculated as follows:  V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3

3 0
3 years ago
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Help please!!
stepladder [879]

Answer:

it changed 21 Fahrenheit

Step-by-step explanation:

-14.8 - 6.2 = -21

and minus + minus = +

so, -14.8 + 21 = 6.2

i think so that is the right answer

4 0
2 years ago
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