Please help me! I’m failing!!!

Answers

Answer 1

a. If G(t) = a (1 + r)ᵗ, then G(0) = a corresponds to the starting area of the glacier, which is given to be 142 acres. So a = 142.

The area of the glacier shrinks by 4.4% each year. This means that after 1 year, the area is reduced to

142 - (4.4% of 142) = 142 (1 - 0.044) ≈ 135.75 acres

After another year,

135.75 - (4.4% of 135.75) = 135.75 (1 - 0.044) ≈ 129.78 acres

or equivalently, 142 (1 - 0.044)² acres.

And so on. After t years, the glacier would have an area of

G(t) = 142 (1 - 0.044)ᵗ ⇒ G(t) = 142 × 0.956ᵗ

b. If the year 2007 corresponds to t = 0, then 2012 refers to t = 5. Then the area of the glacier is

G(5) = 142 × 0.956⁵ ⇒ G(5) ≈ 113.39 acres

c. Simply take the difference between G(5) and G(0) :

G(5) - G(0) ≈ 142 - 113.39 ≈ 28.61 acres

d. The average rate of change of G(t) from 2007 to 2012 is given by the difference quotient of G(t) over the interval 0 ≤ t ≤ 5 :

[tex]ARC_{[2007,2012]} = \dfrac{G(5) - G(0)}{5 - 0} \approx \dfrac{113.39 - 142}5[/tex]

so that ARC ≈ -5.72 acres/year. This rate tells us that a little less than 6 acres of glacial ice is lost each year, based on the reduction over the first 5 years.

e. The year 2017 refers to t = 10, so now we compute

[tex]ARC_{[2012,2017]} = \dfrac{G(10) - G(5)}{10 - 5} \approx \dfrac{90.55-113.39}5[/tex]

which comes out to about ARC ≈ -4.57 acres/year. Since this rate is smaller than the ARC between 2007 and 2012, this means that the glacial ice is disappearing at a slower rate in later years.

Related Questions

5 more than 3
meaning what number ?

Answers

Answer:

Step-by-step explanation:

5+3=8

3 plus 5 more makes 8

Answer is 8

Explanation:
5+3=8
And the other way around

The student council is ordering
T-Shirts from a website. The T-shirts
cost $7 each and there is a shipping
fee of $15 for any amount ordered.
The student council wants to suspend
less than $100 on the T-shirts. Write
an inequality that can be used to find
X, the number of shirts the student
council can order?

Answers

7+15 = 22 then 22 x4=88 which you can only get 4 shirts

i have two Questions.

1. Find the unit rate of 90 miles/2 hours, in feet per second.

2.Find the unit rate of 120 miles in 8 hours, in feet per second.

(extra credit: Extra Credit: How many unique handshakes can be made between 5 people?)

Answers

Step-by-step explanation:

ww have that 90 miles /2 hours is given and we are asked to find it in feet per second.

[tex] \frac{90 \: mi}{2 \: hrs} \times \frac{5280 \: ft}{1 \: mi} \times \frac{1 \: hr}{60 \: min} \times \frac{1 \: min}{60 \: sec} = 66[/tex]

So we get

66 fps.

[tex] \frac{120 \: miles}{8 \: hours} \times \frac{5280}{1 \: mile} \times \frac{1 \: hour}{60 \: min} \times \frac{1 \: min}{60 \: seconds} = 22[/tex]

So we get 22 fps.

Extra credit There is 5 people and 2 hands so we use the combinations formula.

n!/r!(n-r)!. where n is the number of objects (the number of people) and r is the things taken at the time( the hands)

Subsitue

[tex] \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 3 \times 2 \times 1} [/tex]

[tex] \frac{20}{2} = 10[/tex]

HELP ME PLEASE GUYS! :)

Answers

Answer:

Step-by-step explanation:

New equation equals - 5y = - 35

Step 2. y = 7

Step 3. 5x - 4( 7 ) = - 23

Step 4. ( 1 , 7 )

You have $10 in your bank account. It doubles in the first month and every month thereafter. How much money will you have after 5 months?

Answers

after 5 months you will have $160

so,
10
10×2 =20
20×2=40
40×2 =80
80×2=160
hence proved that after 5 months you will have $160

MODELING REAL LIFE You and your friend are making pear tarts for a bake sale. Your recipe uses 7/6 times the weight of the diced pears used in your friend’s recipe. Your friend’s recipe calls for 0.3 pound of diced pears. How many pounds of pears should you buy to have enough for both recipes?

Answers

Answer:

0.65

Step-by-step explanation:

7/6+6/6=13/6

13/6=2 1/6

2*0.3=0.6

[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]

1/20=0.05

0.6+0.05=0.65

GivenAC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you. please giving brialist!!!

Answers

Answer:

Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!

Step-by-step explanation:

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

28/5= 5 3/5
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations

4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
No correlation

Answers

Answer:

Negative Correlation

Step-by-step explanation:

The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.

what is 3/4÷2/1=
Explain how you got your answer

Answers

Answer:

3/2

Step-by-step explanation:

Use the KCF method.

Keep the first fraction (3/4)

Change the sign (division to multiplication)

3/4*2/1=6/4 or 3/2

Answer:

[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]

Step-by-step explanation:

=[tex]\frac{3}{4*2}[/tex]

[tex]\frac{3}{8}[/tex]

can someone help me with this

Answers

[tex]R.H.S\\\\= (a+b)(a^2-ab +b^2)\\\\=a^3-a^2b +ab^2+ba^2-ab^2+b^3\\\\=a^3+b^3\\\\=L.H.S\\\\\text{Hence, proved.}[/tex]

Ok done. Thank to me :>

What is the value of X?

Answers

i think the answer is 8

bc the small one is 4 and the big one is 6

and the other one is 6 so it must be 8

The answer would be 8

BRAINLIEST
Please answer these

Answers

Answer:

that's my answer in mathematics hope it helps for you

Which relation is a function?

{(4, 2), (3, 3), (2, 4), (3, 2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}

{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 4), (2, 3), (3, 2), (4, 1)}

Answers

Answer: Choice D)

{(1, 4), (2, 3), (3, 2), (4, 1)}

========================================================

Explanation:

Let's go through the answer choices one at a time to see what is a function and what isn't.

A) This is not a function because x = 3 repeats itself. In other words, the input x = 3 leads to multiple outputs (y = 3 and y = 2 simultaneously). A function is only possible if any x input leads to exactly one y output. B) This isn't a function either for similar reasoning as choice A. This time x = 2 repeats itself.C) Same idea as the others. We don't have a function because x = 1 repeats itself.D) Each x input is only listed once, so we don't have any x repeats. Therefore, relation D is a function.

In short, choices A,B,C are not functions because they have a repeated x coordinate; in contrast, choice D doesn't have any repeated x values so it is a function.

Side note: The y values are allowed to repeat themselves, but the function won't be one-to-one.

which mapping diagram does NOT represent a function from x > y ?

Answers

Answer:

Step-by-step explanation:

In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.

However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.

Answer:

It's A

Step-by-step explanation:

Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.

Answers

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

[tex]AC =18cm[/tex]

[tex]AC' =3cm[/tex]

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

[tex]k = \frac{AC'}{AC}[/tex]

This gives

[tex]k = \frac{3cm}{18cm}[/tex]

Remove the common units

[tex]k = \frac{3}{18}[/tex]

Reduce fraction

[tex]k = \frac 16[/tex]

Hence, the scale factor of dilation is 1/6

Answers

Answer:

[tex]450000 \leqslant 15000 + 4t[/tex]

Select the correct answer from each drop-down menu.

Answers

Answer:

so sorry i don't know the answer

PLS HELP!!! WILL MARK BRAINLIEST!!

Answers

Answer:

All real numbers

Step-by-step explanation:

It can go on to infinity.

Hope that helps

the small squares and circles around a selected graphic are called ____ handles.

Answers

the answer is sizing

What is the equation for the line in slope-intercept form?

Answers

Answer:y=4x+4

Step-by-step explanation:

PLZZ HELP
What is the common difference of the arithmetic sequence? 7, 2, -3, -8, -13,...

Answers

Answer:

Subtract 5 from the number before.

Step-by-step explanation:

7-5=2, 2-5=-3, -3-5=-8, -8-5=-13

Help! What is 5 - x = 8

Answers

Answer:

x = -3

Step-by-step explanation:

hope this helps!!

1. What is the next number in the pattern below?
0, 5, 11, 18, _____

can someone pls help me with this? Thank you!

Answers

26

0 to 5 = +5
5 to 11 = +6
11 to 18 = +7
18 to ? = +8
? = 26

Solve for number 17

Answers

Answer:

The persification of A C Square BX LFO xc83 cx>? 783fx

Step-by-step explanation:

What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)

I will mark you brinilylist if you got the best aswer

Answers

Answer:

-5

Step-by-step explanation:

considering they are counting in whole numbers it should be -5

please help me quickly

Answers

Answer:

when you look at it it is upside down so d is the right answer

if , (4x + 3y) : (3x + 4y) = 24 : 25 , find the value of x : y .

don't give unwanted ans to get the points,
well explained ans needed
pls no plagiarism , links and spams

thx for answering :)

Answers

We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25

[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]

[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]

[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]

[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]

[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]

[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]

Hence ,

x : y = 3 : 4

[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]

Use cross multiplication

[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]

[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]

[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]

[tex]\\ \sf\longmapsto 21y=28x[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]

Cut 7

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto x:y=3:4[/tex]

need answer quickly plzxzz

Answers

Answer:

Scalene Right

Step-by-step explanation:

Has a right angle and all sides are of different lengths

Answer: Scalene Right

wich is greater 45%, 1/2, 0.55

Answers

Answer:

0.55

Step-by-step explanation:

45/100 = 0.45

1/2 = 0.50

Answer:

0.55 is the biggest

Step-by-step explanation:

45% can be converted to 0.45

1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)

0.55 is already done for you, so there is nothing to do here.

Therefore, the biggest is 0.55

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