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2 years ago

Simplify 2^4×2^3/2^5×2^4 leaving your answer in index form

Mathematics

2 answers:

IrinaK [193]2 years ago

4 0

Answer:

Your correct answer is 64.

Step-by-step explanation:

2^4 × 2^3/2^5 × 2^4 = 64

denis23 [38]2 years ago

3 0

Step-by-step explanation:

$\frac{2^4 * 2^3}{2^5 * 2^4}$
$\frac{2^(4+3)}{2^(5+4)}$
$\frac{2^7}{2^9}$
2^(7-9)
2^(-2)

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2 years ago

If (x)=3x-1 and s(x)=2x+1, which expression is equivalent to r over s (6) ?

katrin [286]

Answer:

$\large\boxed{\dfrac{3(6)-1}{2(6)+1}}$

Step-by-step explanation:

$\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}$

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2 years ago

A 99% confidence interval for the sugar content (per 5 oz. serving) of a shipment of strawberries is 5.9 to 8.3 grams.

gavmur [86]

Answer:

Sample mean = 7.1

Margin of error = 0.465

Step-by-step explanation:

Formula for confidence interval is;

CI = x¯ ± zE

Where;

x¯ is sample mean

z is critical value at confidence level

E is margin of error.

z for 99% Cl is 2.58

We are told the CI is 5.9 to 8.3.

Thus;

5.9 = x¯ - 2.58E - - - - (1)

8.3 = x¯ + 2.58E - - - - (2)

Add both equations together to get;

14.2 = 2x¯

x¯ = 14.2/2

x¯ = 7.1

Put 7.1 for x¯ in eq 1 to get;

5.9 = 7.1 - 2.58E

7.1 - 5.9 = 2.58E

E = 1.2/2.58

E = 0.465

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2 years ago

Simplify 2^4×2^3/2^5×2^4 leaving your answer in index form ​

Simplify 2^4×2^3/2^5×2^4 leaving your answer in index form