A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks d miles apart, the concentration of the combined deposits on the line joining them, at a distance x from one stack, is given by:
[tex]S=\frac{c}{x^2} +\frac{k}{(d-x)^2}[/tex]
where c and k are positive constants which depend on the quantity of smoke each stack is emitting. If k=8c, find the point on the line joining the stacks where the concentration of the deposit is a minimum. xmin= ? miles

Answer:

First, there are NO 5-digit pin codes that include the digits 7, 2, 4, 6, 9, and 3. But, there are 720 pin codes that include 5 out of the 6 digits.

Answer:

Y+5=2/3(x-4)

Step-by-step explanation:

since the slope is 2/3, it should be in the right side of the equal sign, its passing thru (4,-5) thus it being Y+5=2/3(x-4)

Answer:

y = 2x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 3 ) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 2x - 7 ← equation of parallel line

Answer:

y = 2x - 7

Step-by-step explanation:

First line: y = 2x + 3 , m = 2

Second line: m = 2 and pass ( 5 , 3 )

y - 3 = 2( x - 5 ) ⇔ y = 2x - 7

Answer:

Not possible

Step-by-step explanation:

R : 2 row x 3 column

P: 2 row x 2 column

column of first matrix (R) is not equal to the row of 2nd matrix

R*P : not possible

Answer:

175 %

Step-by-step explanation:

x % of 4 = 7

[tex]\dfrac{x}{100}*4 = 7\\\\\\x = 7*\dfrac{100}{4}\\\\x = 7*25\\\\x = 175[/tex]

Answer:

48 * 70% or use 48 * 0.7

Answer: 3.3

Step-by-step explanation: 5 divided by 3 x 2 = 3.3

Answer:

21 rows and two Blocks

1 row 42 Blocks

Step-by-step explanation:

Number of blocks with Annabelle = 42

First arrangement = 3 rows 14 blocks

Second arrangement = 6 rows 7 blocks

Solution

The other two factor pairs that could be used to rearrange the blocks again?

Solution:

Here, we will have to find the factor pairs of total number of blocks present with Annabelle.

i.e. 42

First of all, let us have a look at the factor pairs of 42.

Therefore, the other two factor pairs can be 2, 21 and 1, 42.

The other two possible factor pairs are:

21 rows 2 blocks

1 row 42 blocks

Answer: 50 * 100 = 5000

Step-by-step explanation:

a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number

100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000

Answer: 5O x IOO = 5OOO

Step-by-step explanation:

5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.

If 2.383 is rounded to the nearest hundred the answer is 2.38

[tex]\huge\bold\blue{2.38}[/tex]

Explanation:

2 - ones

. - decimal point

3 - tenths

8 - hundredths

2 - thousandths

8 is the digit in the hundredths place

look at the number on its right (which is 2)

if: < 5, just copy the number until the nearest hundredths.

if: > or = 5, add 1 to the hundredths then copy the number until the nearest hundredths

Answer:

So in base 5, 4+6 = 20

Step-by-step explanation:

Answer:

make the image bigger then I will answer

Step-by-step explanation:

Answer:

Width: 16

Length: 27

Step-by-step explanation:

Let x be the width of the rectangle.

The length would then be 2x - 5

The perimeter is:

2x - 5 + x + 2x - 5 + x =

6x - 10 = 86

Solve.

6x = 96

x = 16

Thus,

Width: 16

Length: 27

Answer:

its a website or

Step-by-step explanation:

Answer:

10 <3

Step-by-step explanation:

Answer:

340ft

Step-by-step explanation:

So this is just the Pythagoren Theorem. a^2+b^2=c^2

340ft

Answer:

X=11.979425

Step-by-step explanation:

Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Answer:

[tex] \sqrt[6]{ 729} [/tex]

Answer:

sorry I don't know the answer to this question

Answer:

25 percent of 20 is 5 percent

Answer:

Step-by-step explanation:

percentage:

80%

messed up saying it was 125% so say thanks to the person who commented below mine-

Answer:7

Step-by-step explanation:because each team has to be equal

Answer:

m=-2

Step-by-step explanation:

m=-8/5-(1)

m=-8/4

divided -8 by 4

m=-2

Answer:

m=-2

Step-by-step explanation:

Answer:

The graphs of f and g intersect eachother at x = -2

Step-by-step explanation:

A solution to a system of equations or functions is the intersection point of them

Answer:

Examples:

-5 - 2

-4 - 1

-8 - 6

Basically, the negative integer should be first with the higher greater absolute value.

Step-by-step explanation:

Answer:

-7-(-6)

Step-by-step explanation:

=-1.

it contains a positive and negative integer

Answer: 80x

Step-by-step explanation:

1. add the numbers 14+2=16 (=x(16)(5)_)

2. Multiply the numbers 16(5) = 80 (=X(80) = 80X)

Answer:

£86.50

Step-by-step explanation:

To find how much 10 t-shirts cost we have to find how much they cost individually.

3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.

8.65 x 10 T-Shirts = £86.50

Answer:

[tex] \sf 46 \frac{3}{7} [/tex]

Step-by-step explanation:

[tex] \sf = 46 + \frac{3}{7} [/tex]

[tex] \sf = 46 \frac{3}{7} [/tex]

or

[tex] \sf = 46 + \frac{3}{7} [/tex]

[tex] \sf = \frac{46}{1} + \frac{3}{7} [/tex]

[tex] \sf = \frac{322}{7} + \frac{3}{7} [/tex]

[tex] \sf = \frac{325}{7} [/tex]

[tex] \sf = 46 \frac{3}{7} [/tex]

Answer:

Step-by-step explanation:

refer to the attachment

hope it helps

Answer:

Monthly rent for Year 9: $1,653.5

Total cost of rent for the whole 9th year: $19,841.9

Step-by-step explanation:

Given the monthly rent of $800 for an aparment, for which it is set to increase by 9.5% annually:

The monthly rent will stay at $800 for the first year.  

For year 2, we must add the 9.5% increase in the monthly rent. In order to determine the 9.5%, simply multiply the monthly rent by 0.095 (the decimal equivalent of 9.5%), then add the product to the monthly rent in year 1 of $800.

9.5% increase for Year 2:  $800 × 0.095 = $76

Monthly rent in Year 2:  $800 + $76 = $876

For year 3, we must add the 9.5% increase in the monthly rent from Year 2 ($876).  

9.5% increase for Year 3:  $876 × 0.095 = $83.22

Monthly rent in Year 3:  $876 +  $83.22 = $959.22

For year 4, we must add the 9.5% increase in the monthly rent from Year 3 ($959.22).  

9.5% increase for Year 4:  $959.22 × 0.095 = $91.13

Monthly rent in Year 4: $959.22 +   $91.13 = $1,050.35

For year 4, we must add the 9.5% increase in the monthly rent from Year 4 ($1,050.35).  

9.5% increase for Year 5:  $1,050.35 × 0.095 = $99.78

Monthly rent in Year 5: $1,050.35 + $99.78 = $1,150.13

9.5% increase for Year 6:  $1,150.13 × 0.095 = $109.26

Monthly rent in Year 6:  $1,150.13 + $109.26 = $1,259.39

9.5% increase for Year 7:  $1,259.39 × 0.095 = $119.64

Monthly rent in Year 7:  $1,259.39 + $119.64 = $1,379.03

9.5% increase for Year 8:  $1,379.03  × 0.095 = $131.00

Monthly rent in Year 8:  $1,379.03 + $131.00 = $1,510.04

9.5% increase for Year 9:  $1,510.04  × 0.095 = $143.45

Monthly rent in Year 9:  $1,510.04 + $143.45 = $1,653.50

In order to determine the yearly cost of renting an apartment, simply multiply  monthly rent by 12. In other words:

Year 1: $800 × 12 = $9600

Year 2: $876 × 12 = $10,512

Year 3: $959.22 × 12 = $11,510.64

Year 4: $1,050.35 × 12 = $12,604.15

Year 5: $1,150.13 × 12 = $13,801.55

Year 6: $1,259.39 × 12 = $15,112.69

Year 7: $1,379.03 × 12 = $16,548.40

Year 8: $1,510.04 × 12 = $18,120.50

Year 9: $1,653.50 × 12 = $19,841.94

Therefore, due to the 9.5% annual increase in rent, the monthly cost of an apartment during the 9th year is $1,653.5, or $19,841.9 (12-months' worth of rent).

Answer:

1 m³

Step-by-step explanation:

first find volume of smaller cubes

V = lwh

S = 1/3*1/3*1/3

S = 1/27

find volume of large cube. there are 27 smaller cubes.

V = 27S

V = 27(1/27)

V = 1

S: volume of small cube

V: volume of large cube