9514 1404 393
Answer:
A f(n)=8(0.75)^n
Step-by-step explanation:
After the first bounce, the height is 8·0.75 = 6 ft. Each subsequent bounce multiplies the previous height by 0.75, so the height after n bounces is ...
f(n) = 8·0.75^n . . . . matches choice A
Answer:
87.4%
Step-by-step explanation:
The radius to the top of the atmosphere as a fraction of the moon's radius is ...
(2575 +600)/2575 ≈ 1.23301
The ratio of the moon's volume with atmosphere to the moon's volume without is the cube of this, or 1.87456
Then the ratio of the atmosphere's volume to the moon's volume is ...
(1.87456 -1)/1 = 0.87456
Atmospheric haze is about 87.4% of the moon's volume.
_____
We have assumed that the desired ratio is to the solid moon's volume, not the volume of moon and atmosphere together. The latter ratio would be 0.875 to 1.875 or about 46.7%.
Apply the distributive property<span>.
</span><span>7x−5−(3x)−1(−2)</span><span>
</span>
<span>Simplify.
</span><span>7x−5−3x−1(−2)
</span>Multiply <span>−1</span><span> by </span><span>−2</span><span> to get </span><span>2.</span><span>
</span><span>7x−5−3x+2</span><span>
</span>
Add <span>7x</span><span> and </span><span>−3x</span><span> to get </span><span><span>4x</span>.
</span><span>4x−5+2</span><span>
</span>
Add <span>−5</span><span> and </span>2<span> to get </span><span><span>−3</span>.
</span><span>4x−3
</span><span>4x−3</span>
Answer:
Median and Mode.
Step-by-step explanation:
The data could be represented in table form in ascending order as:
<u>Number of meals</u> <u> Frequency</u>
2 2
3 3
4 2
19 1`
On the basis of the data now we find the mean, median and mode:
Mean= average of the data
Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5
Hence mean is 5.
Median is the central tendency of the data
on looking at our data we see that the Median=3.
also the mode of the data is the entry corresponding to the highest entry.
Hence the highest frequency is 3 and the corresponding value is 3.
Hence, Mode=3
Hence, the most appropriate measure of center for this situation is :
Median and Mode.
Because that's how many times the quotient goes into the whole number.
100 divided by 4 = 25
100 divided by a lesser number than 4, say 2, = 50
100 divided by an even lesser number than 4, say 1, = 100.
Notice the pattern. Each time we divide by a lesser number, the quotient (the answer) gets larger and larger
Dividing by 1 already equals a quotient that is EQUAL to the original number we are dividing.
Thus, for the pattern to continue, the quotient must become greater than the number.
100 divided by an even lesser number than 1, say .5 = 200.
