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Damm [24]
3 years ago
10

Need help find volume of this

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

let's notice that this triangular pyramid has a triangular base, that triangle has a base of 14 and an altitude of 8.485, whilst the pyramid also has a height of 12.

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} h=&12\\ B=&\frac{1}{2}(14)(8.485) \end{cases}\implies V=\cfrac{1}{3}\left[ \cfrac{1}{2}(14)(8.485) \right](12) \\\\\\ V=4\cdot (7\cdot 8.485)\implies V=237.58

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A population of a particular yeast cell develops with a constant relative growth rate of 0.4425 per hour. The initial population
nalin [4]

The exponential function is often used to model the growth or decay of a population

The population size of the yeast cell after 3 hours is 6.24 million

The given parameters are:

a = 3.1M --- initial number of cells

r = 0.4425 per hour --- rate

The nth term of an exponential function is:

f(n) = a(1+r)^n-1

After 3 hours; n = 3

So, we have:

f(3) = a(1+r)^3-1

Substitute values for a and r

f(3) = 3.1 (1+0.4425)^3-1

f(3) = 3.1 ( 1.4425)^2

f(3) = 6.24

Hence, the population size of the yeast cell after 3 hours is 6.24 million.

Read more about exponential functions at: brainly.com/question/3127939

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5 0
2 years ago
Write an equation of the direct variation that includes the point (6,-2)
olga55 [171]

Answer:

y =  -  \frac{1}{3}x

Step-by-step explanation:

The equation of a direct variation is generally written as:

y = mx

Where m is the slope of the equation of the direct variation line.

We want a direct variation equation that contains (6,-2).

We substitute the x=6 and y=-2 to find m.

- 2 =  6m

Divide both sides by 6.

\frac{ - 2}{ 6}  =  \frac{6m}{ 6}

-  \frac{1}{3} = m

The required equation is

y =  -  \frac{1}{3}x

7 0
3 years ago
What is 76 times 468
r-ruslan [8.4K]
The answer to your question is 35,568
4 0
3 years ago
Read 2 more answers
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masha68 [24]
I am a little confused, if there any answer thingys? :/
6 0
3 years ago
Help pls yall i will give brainliest
miskamm [114]

Answer:

Y=3x+2, Y= -3x-2

Step-by-step explanation:

If you need a consistent (parallel) line you must have very similar equations, with only positives and negatives being changed. If it's Y=3x+2, only the 2 is changed from negative to positive changing the lines position. If it's Y= -3x-2 then the X value is moved to a different coordinate and the -2 keeps the change.

Hope this helps and please critique what I've done if im wrong.

6 0
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