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Complete question :

A lake near the Arctic Circle is covered by a 3 meter thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After four weeks, she is only 1.6 m thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula

Answer:

S(t) = 3 - 0.3t

Step-by-step explanation:

Given that:

Initial thickness = 3m

Assume the rate of decrease is constant

Thickness after 4 weeks = 1.6 m

To obtain a function for the scenario described above :

We can observe that the function is a linear function, given that rate of decrease per week is constant :

To obtain the rate of decrease :

Change after 4 weeks :

(Initial thickness - thickness after 4 weeks) / number of weeks

(3m - 1.6m) / 4

= 1.2m / 4

= 0.3 m per week

General form of a linear function :

y = mx + c

m = rate of change per unit

Hence, our function becomes ;

S(t) = 3 - 0.3t

Answer:

It is divisible by 2 and 4

Step-by-step explanation:

Answer:

divisible by 2 and 4

Step-by-step explanation:

I hope this helps

Answer:

20 is a tenth of 200

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

x=10%(2)

20/x=10/100

200=100x

x=2

Answer:

Exact Form:

51/4

Decimal Form:

12.75

Mixed Number Form:

12 3/4

Step-by-step explanation:

Answer:

     f(2) = 6

Step-by-step explanation:

Given that the function

                 [tex]f(x) = \frac{x}{2} + 5[/tex]

Put x=2

                [tex]f(2) = \frac{2}{2} + 5 = 1 +5 = 6[/tex]

                 f(2) = 6

Answer:

if i'm not mistaken its 100

Step-by-step explanation:

Answer:

9300 maybe

Step-by-step explanation:

Answer:

4.5 hours

Step-by-step explanation:

t=d/r

315/70=4.5

Answer:

$30

Step-by-step explanation:

6 box = 18

1 box = 3

10 box = 30

Answer:

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

[tex]0.189 = \frac{189}{1000}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by  = [tex]10^{3} = 1000[/tex]

[tex]\frac{0.189}{1} * \frac{1000}{1000} = \frac{189}{1000}[/tex]

In conclusion,

[tex]0.189 = \frac{189}{1000}[/tex]

the simplest form of [tex]\frac{189}{1000}[/tex] is [tex]\frac{189}{1000}[/tex]    because

In order to simplify a fraction there must be:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 189 and 1000.

or

2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 189 is not greater than 1000.

This fraction is in simplest form:

[tex]\frac{189}{1000}[/tex]    

Have a wonderful day

Step-by-step explanation:

I think x = 43.34 and BC = 34.47

Answer:

1. 19 units

2. 22 units

3. 9 units

4. 8 units

5. 11 units

Step-by-step explanation:

Answer: Chicken nuggets in zip loc bag?

Step-by-step explanation:

Answer:

f(x) = 1/3x + 1

Step-by-step explanation:

slope-intercept form is

f(x) = mx + b

so just put the points in and you have:

f(x) = 1/3x + 1

also b stands for the y-intercept so if you look at your point (9,1) than your y-intercept would be 1.

hope I could help!!

Answer:

21

Step-by-step explanation:

7 is the largest prime number of 28

3 us the smallest prime number of 15

7 × 3 is 21

Answer:

21.

Step-by-step explanation:

Factors of 28=1,2,4,7,14,28 so largest prime number is 7.

Factors of 15=1,3,5,15 so smallest prime number is 3.

7x3=21(Ans)

The point (5, 13) is a solution to the system

The system of equations is given as:

[tex]y = 4x - 7[/tex]

[tex]2x + y = 23[/tex]

The solution is given as: (5,13)

To determine if the coordinate point is a solution of the system of equations, we have to substitute the x and y values in the equations.

So, we have:

[tex]y = 4x - 7[/tex]

[tex]13 = 4 \times 5 - 7[/tex]

[tex]13 = 13[/tex]

[tex]2x + y = 23[/tex]

[tex]2 \times 5 + 13 = 23[/tex]

[tex]10+ 13 = 23[/tex]

[tex]23 = 23[/tex]

The above equations are true.

Hence, the point (5, 13) is a solution to the system

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

A

Step-by-step explanation:took it on edge!

Answer:

y = 1/2x + 1

Step-by-step explanation:

slope-intercept form: y = mx + b

If you have a slope of 1/2, m = 1/2

y = 1/2x + b

To find b, plug in the known point.

4 = 1/2(6) + b

Solve.

4 = 3 + b

b = 1

Plug b into your equation.

y = 1/2x + 1

Answer:

x=40°

Step-by-step explanation:

3x=120

x=120/3=40°

Answer:

-8

Step-by-step explanation: since it says Times, (for me times is multiplication) you would multiply -2 and 4. negative 2 would be from that person losing 2 points. and 4 since it is your total amount of times you have forgotten to write your name. so, -2 x 4 = -8.

how i got -8. both signs from -2 and 4 are different, and when they are different the answer will always be negative.

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

Answer:

I would think it to be the last one?it’s seems the most accurate of them all?

Step-by-step explanation:

Answer:

X = 6

Step-by-step explanation:

17 - 5 = 12

12/2 = 6

hope this helps...

Answer:

6

Step-by-step explanation:

Find x

Try to get x by itself

2x + 5 = 17

subtract 5 on both sides

2×+5(-5)=17(-5)

by subtracting 5 from its opposite, it turns to 0

now we are left with

2x=12

Next we need to divide

2x is like 2(x) which is multiplication

the inverse is division

when we divide, whatever u do to one side u do to the other

2x/2=12/2

×=12/2

we finally got x by itself

we can break 12/2 even further by dividing and you'd get

×= 6

Answer:

ya

Step-by-step explanation:

22

Answer:

75 gallons

Step-by-step explanation:

15gal PER 1 min

__gal PER 5 mins

To solve this, I would do 15 x 5. That gets me to 75 gallons.

Hope this helps :D