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egoroff_w [7]
3 years ago
10

A 1 liter jar is filled with water right to the top. A rock is then dropped in the jar and 400 mL of water is displaced (pushed

out). What is the volume of the rock?
Mathematics
2 answers:
Ivahew [28]3 years ago
7 0

Answer:


Step-by-step explanation:

400ml


makvit [3.9K]3 years ago
5 0
The rock will only displace the same amount of water that the rock's volume is.

1 mL= 1 cm^3
400mL= 400 cm^3

The answer is 400 cm^3
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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?
AleksAgata [21]

Answer:

\large \boxed{2}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

7 0
3 years ago
If CDEF is a kite, CD =15 find CG
SpyIntel [72]

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

5 0
2 years ago
The dot plots show rainfall total for several spring storms in highlands areas an lowlands areas what is the median rainfall for
tankabanditka [31]

*See attached picture showing the dot plots referred to

Answer:

16mm

Step-by-step Explanation:

Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.

Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.

From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.

Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.

8 0
3 years ago
Read 2 more answers
When simplified, the algebraic expression (2 a - 3 b ) 2 is a binomial.<br><br><br> True or False
scoray [572]
True i think but i'm not postive
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3 years ago
PLEASE HELP SOLVE!!!!!!!!<br><br> -72 &lt; 8m &lt; -32<br><br> -5r &gt; -15 or r + 5 &gt; 14
denis23 [38]
That's the first one

5 0
4 years ago
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