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UNO [17]
3 years ago
8

Parker ran 100 meters, 6 kilometers, and 4,000 centimeters. How many meters did he run all together

Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

Answer:

4,106

Step-by-step explanation:

you jus add all the numbers up.

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PLEASE HELP!!!!<br> Which of these pair of functions are inverse functions?
Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

f(g(x)) = g(f(x)) = x for every x∈R.

Let f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1) and g(x) = 2e^{2x+1}

Use logarithmic rules:

  • ln e^a = a
  • e^{lnx} = x
  • \ln a^b = b\ln a

then, by definition;

f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1) = \frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x

g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1 2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x

Similarly;

for f(x) = \frac{4 \ln(x^2)}{e^2} and g(x) = e^{\frac{e^2 \cdot x}{8} }

then, by definition;

f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2} = \frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0
4 years ago
What is the factor of this problem?<br> ~plz help cannot get this wrong !
Aleonysh [2.5K]

Answer:

it should be 3x^2 +2

Step-by-step explanation:

3 0
3 years ago
Please help algebra 20 points!!!!!!!
miskamm [114]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Triangle abc is such that ab=4 and ac=8 if m is the midpoint of bc and am=3, what is the length of bc?
zavuch27 [327]
This is an interesting question. I chose to tackle it using the Law of Cosines.
  AC² = AB² + BC² - 2·AB·BC·cos(B)
  AM² = AB² + MB² - 2·AB·MB·cos(B)
Subtracting twice the second equation from the first, we have
  AC² - 2·AM² = -AB² + BC² - 2·MB²

We know that MB = BC/2. When we substitute the given information, we have
  8² - 2·3² = -4² + BC² - BC²/2
  124 = BC² . . . . . . . . . . . . . . . . . . add 16, multiply by 2
  2√31 = BC ≈ 11.1355

4 0
3 years ago
An explanation of how geometry played a role in a city design
jonny [76]

Answer:I am pretty sure it is the angels because the square can be a right and the roofs can be acute.

Step-by-step explanation:

Right angle is 90 degrees

Acute is less than 90 degrees

Obtuse is more than 90

5 0
3 years ago
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