2) In the central Sierra Nevada (a mountain range in California), the percent of moisture that falls as snow rather than rain is approximated reasonably well by


f(x) = 86.3 ln x - 680 where x < 8418


where x is the altitude in feet and f(x) is the percent of moisture that falls as snow.


a) Find the domain of this function and interpret the domain in context to the problem. (Show work, interpret your domain using proper units)

Answer:

a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]

Step-by-step explanation:

a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:

[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]

[tex]p = 88\,cm[/tex]

b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:

[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]

[tex]p = 24\,cm[/tex]

c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:

[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]

[tex]p \approx 25.424\,m[/tex]

d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:

[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]

[tex]p \approx 39.368\,cm[/tex]

Answer:

A reflection over the x axis

Step-by-step explanation:

With the x axis you flip it down or up

With the y you flip it to the left or to the right

Answer: m<DCB= 50 degrees

Step-by-step explanation:

120= (15x+5)+(22x+4)

120= 37x+9

111= 37x

x=3

15(3)+5

45+5=

50

Answer:

n

Step-by-step expmlanation:

Answer:

10-15 miles I believe

Answer:

2x – y = 7   answer for this one is  x-1/2y+7/2  (the '/' is a fraction)

y = 2x + 3 is    x=1/2y+-3/2

Step-by-step explanation:

Answer:

I Predict I can make all 10/10 paper balls into the trash can.

Step-by-step explanation:

Sadly, I was wrong, I only got 8 paper balls into the trash can...Its not my fault though, my cat kept attacking my midair balls, anyway I got 8/10 which means I got 80 percent which means I got...move decimal one left...I got (in decimal) .8 (I'm ticked that I missed any cat or no cat, My fav sport is basketball and usually in really good with my shots)

Answer:

x=1.7

Step-by-step explanation:

sin20=x/5

x=5sin20

x=1.7

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:

[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

Answer:

81pi

Step-by-step explanation:

pi3^2=9pi

9pi * 9 = 81pi

Answer:

254.34 un³

Step-by-step explanation:

π × 3² × 9

π × 9 × 9

3.14 × 9 × 9

254.34

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

[tex]Height = 7in[/tex]

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

[tex]a = 1in[/tex] -- side length of the octagon

The area is then calculated as:

[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]

So, we have:

[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]

[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]

[tex]Area = 2 * (1 + \sqrt 2)[/tex]

Evaluate the square root

[tex]Area = 2 * (1 + 1.414)[/tex]

[tex]Area = 2 * (2.414)[/tex]

[tex]Area = 4.828[/tex]

The volume is then calculated as:

[tex]Volume = Height * Base\ Area[/tex]

[tex]Volume = 7 * 4.828[/tex]

[tex]Volume = 33.796[/tex]

Answer:

287 is the right answer

Step-by-step explanation:

Hopes this helps.

Answer:

a it is a because u can see it

Answer:

lll

Step-by-step explanation:

Answer:

I think so

Step-by-step explanation:

Please mark brainliest and I will give you a good report

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

n/6 > 2

x6. x6

n > 12

hope this helps

Answer:

15x - 8

Step-by-step explanation:

hope it helps

15x^2+14x-8

Hope this helped ψ(｀∇´)ψ

Answer:

The answer is most likely 174.68

Step-by-step explanation:

Using the formula A = (2A_B) + (a + b + c)(h)

we can find the surface area

12 is a and c

5 is b

4 is h

This question was vague so the answer might be incorrect.

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

2x = 10

x = 10/2

x = 5

so m<2 = 4(5) -3 = 20-3 = 17 degrees

Step-by-step explanation:

So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.

Now, we can use the quadratic formula to solve.

I attached it below.

Your a value will be 1, the b value is +6, and the c value is -27.

Plug into the formula and then solve. :)

Answer:

3x² + 13

Step-by-step explanation:

f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5

g(x) = 3x² + 8

added together: 3x² + 8 + 5   =  3x² + 13

Answer:

  A (-2, 5)

Step-by-step explanation:

The attached shows the rectangle and the offered points. The point not on the rectangle is A(-2, 5).

__

If we examine the coordinates, we see that the y-values must be -2 or 3 for a point to be on the rectangle. Similarly, the x-values must be -2 or 5.

The offered point A has an appropriate x-value, but not an appropriate y-value. Point A is not on the rectangle.

Answer:

x=3

Step-by-step explanation:

If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.

Answer:

30 feet

Step-by-step explanation:

The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.

Answer:

$126

Step-by-step explanation:

We solve using Compound Interest formula

For Matthew

Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.

P = $4700

R = 3 3/8 % = 3.375 %

t = 14 years

n = Compounded Monthly = 12

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 3.375/100

r = 0.03375 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 4,700.00(1 + 0.03375/12)^(12)(14)

A = 4,700.00(1 + 0.0028125)^(168)

A = $7,533.80

For Peyton, we are using a different compound interest formula because it is compounded continuously

Peyton invested $4,700 in an account paying an interest rate of 3 1/4%

compounded continuously.

P = $4700

R = 3 1/4 % = 3.25%

t = 14 years

n = Compounded continuously

First, convert R as a percent to r as a decimal

r = R/100

r = 3.25/100

r = 0.0325 rate per year,

Then solve the equation for A

A = Pe^rt

A = 4,700.00e^(0.0325)(14)

A = $7,408.01

After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:

$7,533.80 - $7,408.01

= $125.79

Approximately = $126 to the nearest dollar

Answer:

126

Step-by-step explanation:

126 to the nearest dollar

there is no solution

In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as

p(x) = a x ³ + b x ² + c x + d

We're told the leading coefficient is a = 1, so

p(x) = x ³ + b x ² + c x + d

Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.

Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:

p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)

Now just expand this to get

p(x) = x ³ - 3 x ² - 23 x - 35

Answer:

33/4=8.25 or 8 1/4

Step-by-step explanation:

Answer:

9.) The Outlier is 18

-The outlier is the number that stands out and is different