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Sedaia [141]
3 years ago
15

The volumes of two similar solids are 1331 m3 and 343 m3. The surface area of the larger one is 484 m2. What is the surface area

of the smaller one? 196 m2 1372 m2 343 m2 none of these
Mathematics
1 answer:
rodikova [14]3 years ago
6 0
It is 196m^2.. I just had this on a test this answer is right
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In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
Round 87590 is nearest 1000 you will get​
Diano4ka-milaya [45]

Answer:

88,000

Step-by-step explanation:

The number in the thousands is 7. If we look at the hundreds, it has a 5. 5 or more means to round up. So, rounding up the 7 gives us 8. Then, we make all the numbers past the 1000's place 0's. So, we are therefore left with 88,000.

Hope this helps! :D

3 0
2 years ago
Read 2 more answers
Please help me I need to get this right to pass this class
denis23 [38]

Answer:

6.1 units²

Step-by-step explanation:

area of a triangle= 0.5b*h

b=2

h=6.1

6.1*2=12.2

12.2*0.5= 6.1

3 0
2 years ago
Sin (x/2)= √2- sin (x/2) solve for the exact solutions in the interval (0, 2π)
serg [7]

sin\left( \frac{x}{2} \right)=\sqrt{2}-sin\left( \frac{x}{2} \right)\implies sin\left( \frac{x}{2} \right)+sin\left( \frac{x}{2} \right)=\sqrt{2}\implies 2sin\left( \frac{x}{2} \right)=\sqrt{2} \\\\\\ sin\left( \cfrac{x}{2} \right)=\cfrac{\sqrt{2}}{2}\implies sin^{-1}\left[ sin\left( \cfrac{x}{2} \right) \right]=sin^{-1}\left( \cfrac{\sqrt{2}}{2} \right) \implies \cfrac{x}{2}= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4} \end{cases} \\\\[-0.35em] ~\dotfill

\cfrac{x}{2}=\cfrac{\pi }{4}\implies \boxed{x=\cfrac{\pi }{2}}~\hfill \cfrac{x}{2}=\cfrac{3\pi }{4}\implies \boxed{x=\cfrac{3\pi }{2}}

5 0
2 years ago
Raina bought three books at a bookstore. Here are their prices (in dollars). 18.8, 4, 9.38 What is the total amount Raina paid a
artcher [175]

Answer:

$32.18

Step-by-step explanation:

It's really just addition. No explanation necessary.

4 0
3 years ago
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