The answer choices are

Mathematics

1 answer:

Fed [463]2 years ago

8 0

Answer:

Step-by-step explanation:

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FIRST CORRECT ANSWER GETS BRAINLIEST AND 50 POINTS.

AnnyKZ [126]

Answer:

A) $5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5}$ (Yes. It has a value between zero and one.)

B) $\frac{3^5}{3^{-6}}=3^{5-\left(-6\right)}=3^{5+6}=3^{11}=177147$ (No. It does not have a value between zero and one.)

C) $\left(\frac{1}{4}\right)^3* \left(\frac{1}{4}\right)^2=\left(\frac{1}{4}\right)^{3+2}=\left(\frac{1}{4}\right)^5=\frac{1^5}{4^5}=\frac{1}{1024}$ . (Yes. It has a value between zero and one.)

D) $\frac{\left(-7\right)^5}{\left(-7\right)^7}=\left(-7\right)^{5-7}=\left(-7\right)^{-2}=\frac{1}{\left(-7\right)^2}=\frac{1}{49}$ (Yes. It has a value between zero and one.)

4 0

3 years ago

Read 2 more answers

Mary is going for a walk. She walks 12.5 miles in 5 hours. What is her speed

xz_007 [3.2K]

To find her speed, divide the total distance by the total time:

12.5 miles / 5 hours = 2.5 miles per hour.

3 0

3 years ago

How do the lengths of line segments define the golden ratio?

NISA [10]

Answer:

$\frac{a+b}{a}=\frac{a}{b}$

Step-by-step explanation:

The golden ratio is a special number favored by the Greeks. Its ratio roughly equals 1.618. The ratio is formed by taking a line segment and dividing it into two parts labeled a and b. The golden ratio is formed when this proportion is true $\frac{a+b}{a}=\frac{a}{b}$ .

When you add a and b then divide by a, it will be the same as a divided by b. This will hold true only for specific lengths of a and b. This means you must divide the line segment in such a way that a and b meet this requirement.

Example:

If the line segment is 50 cm long. Split the segment into parts a and b where a = 30.9 and b = 19.1. Substitute the values into the proportion $\frac{a+b}{a}=\frac{a}{b}$ .

$\frac{30.9+19.1}{30.9}=\frac{30.9}{19.1}$