A lake near the Arctic Circle is covered by a 222-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 333 weeks, the sheet is only 1.251.251, point, 25 meters thick.
Let yyy represent the ice sheet's thickness (in meters) after xxx weeks.
Complete the equation for the relationship between the thickness and number of weeks.
y=y=y, equals

Answers

Answer 1

Answer:The question is a little incorrect, the ice sheet thickness should be 2m and not 222m.

The required function formula is,

S(t) = 2 - 0.25 t

Step-by-step explanation:

Here, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet = 1.25 meters

Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,

⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,

Since, the ice is melting with the constant rate.

⇒ The rate of ice decreasing = 0.25 meters per week.

⇒ Total changes in t weeks = 0.25 t meters

The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.

⇒ S(t) = 2 - 0.25 t

Which is the required function's formula.


Related Questions

Jerry and Alyah are hiking the Appalachian Trail. Jerry is carrying 30 ⅛ pounds in his pack and Alyah is carrying 36 ½ pounds in her pack. How many times heavier is Alyah’s pack than Jerry’s?

Answers

Answer:

BLM

Step-by-step explanation:

BRAINLIEST ANSWER (70 points)

Solve for x

Answers

Answer:

x = 22

Step-by-step explanation:

6x + 48 = 180

6x = 132

X = 22

PQR is an isosceles triangle with PR = PQ.
(5x -4°
(x + 52)
Calculate the value of y.

Answers

Answer:

Step-by-step explanation:

As two sides are equal so angles opposite to these are also equal, hence

5x-4=x+52

4x=56

X=14

Now,

R=5x-4

R=66

And,Q=x+52

Q=66(we already knew both angles are equal)

Now as sum of all angles of triangle equal 180 so,

66+66+P=180

P=48


What is the equation for direct variation?

Answers

Answer:

y=kx

Step-by-step explanation:

For this example it would be [tex]y=\frac{72}{2} x\\[/tex] or y=36x

Someone help and plz make sure it’s right

Answers

The answer would be 14.3

help please :)))))))))))))))))))

Answers

Answer:

21600cm^3

Step-by-step explanation:

7200cm^3÷30cm=24cm

24cm×30cm×40cm

=21600cm^3

Which translation vector moves every point of a pre-image 4 units left and 6 units up?
F. (4, -6)
G. (-4, 6)
H. (-6, 4)
J. (6, -4)​

Answers

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Find the solutions of the equation f(x)=(x+3)(x-b)

A: 3 and -b
B: 3 and b
C: -3 and -b
D:-3 and b

Answers

the answer for this solution is D
-3 and b

A and b. Find the length of arc ZY. Round to the nearest hundredth.

Answers

Answer:

5.24 inches

Step-by-step explanation:

We are to find the arc length of the above circle

The formula is given as:

2πr × θ/360

θ = 75°

Radius = 4 inches

Arc length ZY = 2 × π × 4 × (75/360)

= 5.235987756 inches

Approximately = 5.24 inches

Arc length ZY = 5.24 inches

Which list shows the numbers below in order from least to greatest?

Answers

Answer:

[tex]\frac{\pi }{5} , 1.6%[/tex], [tex]-2\frac{4}{5}[/tex], [tex]-2\sqrt{2}[/tex]

Step-by-step explanation:

I plugged in the values to a calculator

17 atleast please help meeeeee .

Answers

Answer:

C

Step-by-step explanation:

I need your help, please answer!!

Answers

Answer:

non linear ( ꈍᴗꈍ)( ╹▽╹ )( ╹▽╹ )

can someone help me on number 2 and please ASAP :( will mark brainlist

Answers

Answer:

A = 53°

AB = 23.3

BC = 18.6

Step-by-step explanation:

2. Given,

C = 90°

B = 37°

AC = 14

Required:

A, AB, and BC

Solution:

✔️A = 180 - (90 + 37) (sum of triangle)

A = 53°

✔️Find AB and BC using trigonometric function:

Reference angle = 37°

Opp = 14

Hyp = AB

Adj = BC

To find AB, apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 14/AB

AB = 14/Sin 37

AB = 23.262962 ≈ 23.3 (nearest tenth)

To find BC, apply TOA:

Tan 37 = Opp/Adj

Tan 37 = 14/BC

BC = 14/Tan 37

BC = 18.5786275 ≈ 18.6 (nearest tenth)

Neeeeddd hwlppppp pplzzzzzzzzzzzz math 20 points

Answers

Answer:

=1/5

(Decimal: 0.2)             SO   I would go with A

Hope this helps and its correct

Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?

Answers

Answer:

3.00 years

Step-by-step explanation:

Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?

Your answer

Given data

Principal= $85

Rate= 4.5%

Intterest=  $11.48

The simple interest formula is

SI= PRT/100

11.48= 85*4.5*T/100

cross multiply

11.48*100= 85*4.5*T

1148=382.5T

divide both sides by 382.5

T= 1148/382.5

T= 3.00 years

Hence the time is 3 years

Hey u yea u Ik u reading this and why u at it can u help a girl out!? Sheesh

Answers

Answer:

30

Step-by-step explanation:

120+30 =150

180-150 =30

Answer:

30

Step-by-step explanation:

does anyone know the answer?

Answers

Hi I do not know the association I’m sorry

91 is 82% of what number?​

Answers

Answer:

110.97561

Step-by-step explanation:

  82% of n = 91

82/100 × n = 91

 41/50 × n = 91

              n = 4550/41

  4550/41 = 110.97561

Answer:

110.98

Step-by-step explanation:

 82% of n = 91

82/100 × n = 91

41/50 × n = 91

             n = 4550/41

 4550/41 = 110.97561

round your answer and you will get 110.98.

QUESTION 1. Find the area. (Round to the nearest hundredth)


QUESTION 2. Trapezoid QRST has two right angles. A 5in altitude can be drawn dividing QRST into a rectangle and an isosceles right triangle. The longer side of the rectangle measures 9in. What is the area of the trapezoid ?

Answers

Answer:

The area of the trapezoid is 57.5 in.²

Step-by-step explanation:

The given information of the trapezoid are;

The vertices of the trapezoid = QRST

The altitude of the trapezoid = 5 in.

The shape the altitude divides the trapezoid into = A square and an isosceles right triangle

The long side of the rectangle = 9 in.

Therefore, we have;

The legs of an isosceles right triangle are equal

Given that one of the legs of the isosceles right triangle = The altitude of the triangle = 5 in.

Therefore, for the isosceles triangle, the length of the other leg = 5 in.

Therefore;

The area of the right triangle = 1/2 × Base × Height (altitude)

The area of the right triangle = 1/2 × Leg × leg = 1/2 × (Leg)²

∴ The area of the right triangle = 1/2 × 5 in. × 5 in. = 12.5 in.²

The length of the rectangle is given as l = 9 in.

The height of the rectangle, h = The altitude of the rectangle = 5 in.

The area of the rectangle, A = l × h

∴ The area of the rectangle, A = 9 in. × 5 in. = 45 in.²

The area of the trapezoid = The area of the right triangle + The area of the rectangle

The area of the trapezoid = 12.5 in.² + 45 in.² = 57.5 in.²

adding and subtracting polynomials. help?

Answers

hope this help you! have a great day

Which statement is true about the diameter of a circle?

The diameter has 3 endpoints.

The diameter is one half the length of a radius.

The diameter must pass through the center of the circle.

A diameter is not a chord.

A diameter is a type of radius.

Answers

Answer:

The diameter must pass through the center of the circle.

Step-by-step explanation:

TRUE STATEMENT :

The diameter must pass through the center of the circle.

Answer:

A. Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.

Step-by-step explanation:

The only way to answer this question is to check the definitions of chord and diameter.

A chord is a segment with endpoints on the circle. In the attached figure the segments CD and GH are chords.

Now, notice that according to the given definition the segment EF is also a chord, but with the special characteristic that the center of the circle, denoted by A, it is on the segment. This ‘‘special’’ chords that contains the center of the circle are called diameter.

Sometimes the diameters are also called the larger of the chords.

Heaven is making bracelets. Each bracelet consists of 2.2 ounces of beads, and the
rest of the weight is made up of wire. If Heaven makes 2 bracelets that have a total
weight of 6.8 ounces, what is the weight of wire in each bracelet?

Answers

Answer:

1.2 ounces of each bracelet is made up from wire.

Step-by-step explanation:

2.2 x 2 = 4.4

6.8 - 4.4 = 2.4

2.4 / 2 = 1.2


Marking Brainlist sheesh

The word "jabbering" is an example of

A) Alliteration
B)Simile
C)Hyperbole
D) Onomatopoeia

The phrase "his heart stopped" is an example of
A) Simile
B) Metaphor
C)Hyperbole
D) Onomatopoeia ​

Answers

Answer:

Hyperbole

Step-by-step explanation:

because i did that test

Answer:

Both r hyperbole

Step-by-step explanation:

What figure has properties of all sides congruent and all right angles?

A. Rectangle
B. Square
C. Parallelogram
D. Rhombus


HELP ME PLEASE

Answers

A. Rectangle


Here bestie

Solve the equation with logs on both sides of the equation. Please try to be quick

Answers

Answer: a=-1

Step-by-step explanation:

Given

[tex]\log_2 (-a+4)=\log _2(3-2a)[/tex]

As the base of both the logarithm is the same. Therefore, the value inside the logarithm is also the same

[tex]\Rightarrow -a+4=3-2a\\\Rightarrow 2a-a=3-4\\\Rightarrow a=-1[/tex]

Thus, the value of a is -1

En una escuela hay 12 paquetes,cada uno con 2 resma de papel de 500 hojas.Van a repartir las hojas en partes iguales entre los 10 grados dela escuela.¿cuantas hojas le darán a cada grado?

Answers

Answer:

A cada grado podrían darle, o 600 hojas en un caso.

O bien, 1200 hojas.

Step-by-step explanation:

Total de paquetes: 12

Cada paquete tiene, 2 resmas con 500 hojas lo cual se entendería que en cada resma hay 250 hojas

(Como son 2 resmas el total es de 500 hojas)

Si cada paquete tiene 500 hojas y hay 12 paquetes

500 hojas/paquete . 12 paquetes = 6000 hojas

6000 hojas / 10 grados = 600 hojas para cada grado.

Si pensamos que en 2 resmas de papel hay 500 hojas cada paquete tendría un total de 1000 hojas ya que:

2 resmas . 500 hojas/resma = 1000 hojas.

Si son 12 paquetes, 1000 hojas/paquete . 12 paquetes = 12000 hojas.

12000 hojas repartidas en 10 grados, son (12000 /10) = 1200 hojas.

TheratioofboystogirlsinMs.Cunningham’sclassis2to3.Thereare18girlsintheclass.WhatisthetotalnumberofstudentsinMs.Cunningham’sclass?

Answers

Answer:

12

Step-by-step explanation:

Descreva a transformação que você deve fazer para refletir um polígono do 4o quadrante para o 3o quadrante sem alterar seu tamanho.

Answers

Can you translate it to English? Appreciate it

h + 52 72
———- = —-
70. 56

Answers

Answer:

h = 38

Step-by-step explanation:

[tex] \frac{h + 52}{70} = \frac{9}{7} [/tex]

[tex]h + 52 = \frac{9}{7} \times 70[/tex]

[tex]h + 52 = \frac{9 \times 70}{7} [/tex]

[tex]h + 52 = \frac{630}{7} [/tex]

[tex]h + 52 = 90[/tex]

[tex]h = 90 - 52[/tex]

[tex]h = 38[/tex]

the answer is 38.

Evaluate y = (1\5)x
when x = 4

Answers

Answer:4/5

Step-by-step explanation:

y= (1/5)x

y= 1/5 (4)

y= 4/5

Hope it's working :)

Answer:

exact form = 4/5

decimal form = 0.8

Step-by-step explanation:

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