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Darya [45]
4 years ago
14

1996 gail devers won the 100-meter dash in the olympic games. her times was 10.94 seconds. what was her speed in meters per seco

nd?
Mathematics
1 answer:
Alexeev081 [22]4 years ago
6 0

Solving this problem is just pretty straight forward. We simply have to get the ratio of distance and time to get the speed. that is:

speed = distance / time

speed = 100 m / 10.94 s

<span>speed = 9.14 m/s</span>

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Answer:

1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},

Step-by-step explanation:

1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}

2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}

3. This problem incorporates an exponent property.

Exponent property used: a^b\cdot a^c=a^{(b+c)}, yielding an answer of \boxed{5}

4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}

3 0
3 years ago
Read 2 more answers
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