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Alexxx [7]
3 years ago
15

3(8-4g) simplify by distributing

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

24 - 12g

Step-by-step explanation:

3(8-4g)

= 3(8) + 3(-4g)

= 24 + (-12g)

= 24 - 12g

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3 years ago
A circle is to be cut from a 12 ft square board. What will be the area, in square feet, of the inscribed circle? Leave your answ
Kazeer [188]

Answer:

3π sq.feet

Step-by-step explanation:

Area of the square = L²

L is the length of the square

Given

Area of the square = 12 ft square

12 = L²

L = √12

L = 2√3 feet

Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;

Area of the circle = πd²/4

Area of the circle = π(2√3)²/4

Area of the circle  = 12π/4

Area of the circle = 3π sq.feet

5 0
3 years ago
Suppose f is an exponential function and:
Nastasia [14]

Answer:  a) b= p(1 + r)^1 b) c= p(1 + r)^n c) d= p(1 + r)^m d) b^n=c

Step-by-step explanation:

Since f is an exponential function.

So, it is expressed as

f = p(1 + r)^

Here f is the present value

p is the initial value

r is the rate of growth per time period

t is the time period.

(a) b represents the 1-unit growth factor for f.

b= p(1 + r)^1

(b) c represents the n n-unit growth factor for f.

c= p(1 + r)^n

(c) d represents the m m-unit growth factor for f.

d= p(1 + r)^m

Write a formula that expresses c in terms of b.

Since

b=p(1+r)^1\\\\So,\\\\b=p(1+r)^{n\times \frac{1}{n}}\\\\b=(p(1+r)^n)^{\frac{1}{n}}\\\\b=c^{\frac{1}{n}}\\\\b^n=c

Hence, a) b= p(1 + r)^1 b) c= p(1 + r)^n c) d= p(1 + r)^m d) b^n=c

8 0
3 years ago
Match each whole number with a rational, exponential expression. 1. 512 2. 8 3. 343 4. 216 5. 729 6.
Crazy boy [7]

Answer:

1. 2^9 = 512

2. 2^3 = 8

3. 7^3 = 343

4. 6^3 = 216

5. 3^6 = 729

Step-by-step explanation:

To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power

1.

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

2^9 = 512

2.

2 x 2 x 2 = 8

2^3 = 8

3.

7 x 7 x 7 = 343

7^3 = 343

4.

6 x 6 x 6 = 216

6^3 = 216

5.

3 x 3 x 3 x 3 x 3 x 3 = 729

3^6 = 729

6 0
3 years ago
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