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Andrei [34K]
3 years ago
5

Find the volume of the prism.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0

The volume of the prism is (B) 864 mm3

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A culture of yeast doubles in size every four hours. If the yeast population is estimated to be three million now, what will it
Bess [88]
It doubles every 4 hours, so after 24 hours there will be 6 doublings.
2^6 = 64
So, the population will be (3,000,000 * 64) or 192,000,000 in 24 hours.
The answer is B.


4 0
3 years ago
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Please simplify this fraction c:
Liula [17]
F you just want to see the really short way, just skip down to AAAAAAAAAAAA

so, here is the long explanation
exponential properties
x^{-m}= \frac{1}{x^m}

don't forget pemdas
2x^2=2(x^2)

so
\frac{2x^{-4}}{3xy}=\frac{2 \frac{1}{x^4} }{3xy}=  \frac{2}{3x^5y}


AAAAAAAAAAAAAAAAAAAAAAAA
so we see
the original equatio is
\frac{2x^{-4}}{3xy}

remember
\frac{ab}{cd} =( \frac{a}{c})( \frac{b}{d})

so we can seperate the constants
\frac{ab}{cd} =( \frac{2}{3})( \frac{x^{-4}}{xy})

we know that the placeholders cannot affet the position of the constants unless they are grouped together which they are not

terfor the answer must have 2/3 in it

the only one that hsa that is A


ANSWER IS A
3 0
3 years ago
Read 2 more answers
an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

8 0
3 years ago
Absolute Value Inequalities <br> |x−7|+|1−x|&gt;6
skad [1K]

Answer:

x>-1

Step-by-step explanation:

5 0
3 years ago
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Which comparisons are true? Choose all that apply. A. 7.34 &gt; 7.304 B. 1.628 &gt; 1.63 C. 4.05 &lt; 4.055 D. 9.103 &lt; 9.13 E
Nimfa-mama [501]

Answer:

The answers are A, C, & D.

Step-by-step explanation:

A: the 34 would have an imaginary 0 behind it, so then it would become 340, which is greater than 304.

B, C, D: same logic as A

6 0
3 years ago
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