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e-lub [12.9K]
3 years ago
11

Can someone help me with this?​

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

N = 30 degrees

Step-by-step explanation:

You add 60 and 90 and you subtract your sum from 180.

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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
Find all​ x-coordinates of points​ (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8
Genrish500 [490]

Answer:

Step-by-step explanation:

To obtain all coordinates of points​ (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8, we deduce the value of X for which y is undefined as thus,

(x - 6 )^8 = 0

: (x - 6 ) = 0 : X=6

Therefore, all x-coordinates of points​ (x,y) on the curve are values of X < 6

4 0
3 years ago
Solve for b help please
aliya0001 [1]

Answer:

-12=-4/3b

-12x4/3=b

-16=b

b=-16

4 0
3 years ago
If the range of f(x)=x+7 is {2, 10}, then the domain must be what?
KatRina [158]

f(x)=X+7 is {2, 10} then the domain must be 2 is answer

6 0
3 years ago
What is the solution for the system of equations?
Lena [83]

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1

5 0
3 years ago
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