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Law Incorporation [45]
3 years ago
5

Find a formula for the described function. an open rectangular box with volume 6 m3 has a square base. express the surface area

sa of the box as a function of the length of a side of the base, x.
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
<span>x^2 * h = 6
   
h = 6%2Fx%5E2
   
:
       
Surface area of an open box
   
S.A. = x^2 + 4(x*h)
   
;
   
Replace h with6%2Fx%5E2
   
S.A. = x^2 + 4(x*6%2Fx%5E2)
   
;
   
Cancel x:
   
S.A. = x^2 + 4(6%2Fx)
   
:
   
f(x) = x^2 + 28%6Fx; is the surface area in terms of x</span>
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Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25+4 represents the height y in inches over time x in wee
Naya [18.7K]

Answer:

Step-by-step explanation:

Allow me to rewrite your question and hope it will fit the original one:

<em>Jackson recorded the growth of a plant over 10 weeks. The equation </em><em>y=0.25x+4</em><em> represents the height y in inches over time x in weeks what does the y intercept represent In terms of the situation</em>

My answer:

As we know that y intercept is the value of y at the point where the line crosses the y axis (the value of x =0)

So in this situation, if x= 0, it means the height of the tree (y-intercept) initially be at 4 at week 0.

Hope it will find you well.

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3 years ago
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kvv77 [185]

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Step-by-step explanation:

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2 years ago
Line m is parallel to Line n.
soldi70 [24.7K]
I hope this helps. Have a good day.

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Write an equation of the line that passes through the points (2,5), (0,5)​
KatRina [158]

Answer:

y = 5

Step-by-step explanation:

1. This line is horizontal, because the y-coordinate never changes.

2. The equation for a horizontal line is y = (y-coordinate)

3. The y-coordinate is always 5, so the equation is y = 5.

7 0
3 years ago
A marine biologist monitors the population of sunfish in a small lake. He records 800 sunfish in his first year, 600 sunfish in
Colt1911 [192]

Answer:

Let's use the variable y to represent the number of years passed since the first year.

The population on the first year (y = 0) was 800

The population in the second year (y = 1) was 600.

The ratio in which the population decreased can be calculated as:

R = 600/800 = 0.75

This means that 600 is the 75% of 800, this also means that between the first year and the second year, the population decreased by the 25%

Now let's look at the ratio between the second and third year (y = 2), the population the third year was 450

Now the ratio is:

R = 450/600 = 0.75

Same as before, then we already can see that the population will decrease by 25% each year.

The generic exponential decay equation is:

f(y) = A*(1  - r)^y

where:

A = initial population, in this case, is 800

y = our variable, in this case, represents the number of years

r = the amount that decreases per each unit of our variable, this must be written in decimal form. In this case, we know that the population decreases by 25% each year, and 25% written in decimal form is 0.25

Also, (1 - r) = R, where R is the ratio we found earlier.

To do this, we just divide 25% by 100% to get (25%/100% = 0.25)

Then our equation will be:

f(y) = 800*(1 - 0.25)^y

f(y) = 800*( 0.75)^y

1) We want to predict when the population will be 200.

to do this, we set:

f(y) = 200 = 800*( 0.75)^y

and solve it for y.

(200/800) = 0.75^y

(1/4) = 0.75^y

Now we can use the relationship:

Ln(a^x) = x*ln(a)

Then let's apply Ln( ) in both sides to get

ln(1/4) = y*ln(0.75)

ln(1/4)/ln(0.75) = y = 4.8 years.

This means that 4.8 years after the first year, the population will be around 200.

2) The population in the 25 th year (this is 24 years after the first one, so we take y = 24) is:

f(24) = 800*(0.75)^(24) = 0.80

Around this point, we will have no more sunfish in the lake.

7 0
3 years ago
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