Find the Area of the parallelograms.

Answer:

The present population of the country is 26,000.

[tex]y=a(1+r)^{x}[/tex]

The growth rate is approximately 12%.

The population 5 years from today will be 45,821.

Step-by-step explanation:

(1)

The present population of the country is 26,000.

(2)

It is provided that the number of people living in a country is increasing each year exponentially.

Then the exponential growth function can be used to describe the situation.

The exponential growth function is:

[tex]y=a(1+r)^{x}[/tex]

Here,

y = final value

a = initial value

r = growth rate

x = time

(3)

It is provided that x = 5 years ago the population was a = 15,000 and at present the population is y = 26,000.

Compute the value of r as follows:

        [tex]y=a(1+r)^{x}[/tex]

 [tex]26000=15000\times (1+r)^{5}[/tex]

[tex](1+r)=[\frac{26000}{15000}]^{1/5}[/tex]

  [tex]1+r=1.1163[/tex]

        [tex]r=0.1163\\r\approx 0.12[/tex]

Thus, the growth rate is approximately 12%.

(4)

Compute the population 5 years from today as follows:

[tex]y=a(1+r)^{x}[/tex]

  [tex]=26000\times (1+0.12)^{5}\\\\=26000\times 1.762342\\\\=45820.892\\\\\approx 45821[/tex]

Thus, the population 5 years from today will be 45,821.

Answer:

15x -14

Step-by-step explanation:

(5x-2)+(4x-4)+(6x-8)

Combine like terms

(5x+4x+6x-2+-4-8)

15x -14

Answer:

Step-by-step explanation:

[tex](5x - 2) + (4x - 4) + (6x - 8) \\ 5x - 2 + 4x - 4 + 6x - 8 \\ 5x + 4x + 6x - 2 - 4 - 8 \\ 15x - 14[/tex]

Answer:

y = 40 / sqrt(pi)

Step-by-step explanation:

The area is 400

We want to find the diameter

400 = pi r^2

Divide each side by pi

400/ pi = r^2

Take the square root of each side

sqrt(400/ pi) = sqrt(r^2)

20/ sqrt(pi) = r

The diameter is twice the radius

2 r = d

2 * 20/ sqrt(pi) = d

40 / sqrt(pi) =d

y is the diameter so

y = 40 / sqrt(pi)

Hey there! I'm happy to help!

When looking for a conclusion, we have to find something that we can figure out from the information but they don't directly tell us.

Answer B says that a conclusion is that the lines meet at a 90 degree angle, but they already told us that, so this is wrong.

Answer C does the same thing, so it is wrong as well.

A 90 degree angle is a right angle. They already told us that the lines intersect at a right angle, so this is not a conclusion.

Answer A says that the lines are perpendicular. They don't directly tell us that these specific lines are perpendicular, but from the information they gave us we can figure it out. Therefore, the correct answer is A. The lines are perpendicular.

Have a wonderful day! :D

Answer:

1. x = 8

2. 8(x+9)

Step-by-step explanation:

2(x + 5) = 26

2x + 10 = 26

2x = 26 - 10

2x = 16

x = 16/2

x = 8

8(x+9)

Answer:

Hey there!

1. 2(n+5)=26

n+5=13

n=8

2. 8(n+9)

Let me know if this helps :)

Answer:

16

Step-by-step explanation:

If you divide 8 by 2 it is 4 and 4 times itself is 16. Because to complete the square you find half of b and square it for c.

Answer:

$1.16 per meter

Step-by-step explanation:

You need to divide the coat by the meters.

9.28/8

= 1.16

So one meter of ribbon would cost $1.16.

Answer: $1.16

Step-by-step explanation:

cost of ribbon per meter= cost/meter

 $9.28/8m=$1.16/m

Step-by-step explanation:

x-3y=3y-3y

x-3y=0

hope this helps

Answer:

____________________

y = x / 3

x over 3

____________________

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

Work Shown:

Use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (0 - (-3))/(9 - 0)

m = (0 + 3)/(9 - 0)

m = 3/9

m = 1/3

----------------

Basically we subtract the y coordinates, and do the same for the x coordinates as well (subtract in the same order). Afterward, divide the two results. Reduce the fraction as much as possible.

A slope of 1/3 means we move up 1 unit each time we move to the right 3 units.

The slope being positive means the line goes uphill as you read from left to right.

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Answer:

2812/39

Step-by-step explanation:

74 • (76/78)

76/78 = 38/39

74 • 38/39 = 2812/39

Step-by-step explanat: c.18

Answer:

transformation

Step-by-step explanation:

Answer:

-2° per hour

Step-by-step explanation:

3 PM => 41°

9 PM => 29°

Find the temperature fall rate.

First, there are 6 hours between 3 and 9, and the temperature decreased 41 - 29 = 12° in those 6 hours. To find the rate, simply divide the degrees difference by the number of hours => 12/6 = 2° per hour; and since it's a descending rate, you put a negative ( -2°).

Answer:

  G = (2, -1)

Step-by-step explanation:

You want ...

  FG/FH = 1/6 = (G -F)/(H -F)

  H -F = 6(G -F)

  H +5F = 6G . . . . . . add 6F, simplify

  G = (H +5F)/6 . . . . .divide by 6

Substituting the given coordinates, we get ...

  G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6

  G = (2, -1)

Answer:

Bb

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

Took the assignment on edg

Answer:

89

Step-by-step explanation:

[tex]3+75t-16t^{2} =h\\\\[/tex]

we evaluate when t=2

[tex]3+75(2)-16(2)^2=h\\\\3+150-64=h\\\\h=89[/tex]

so it's 89 feet

Answer:

89

Step-by-step explanation:

JUST TRUST ME

Answer:

21.605 in number form

Answer: 21.605000

This is twenty-one and six hundred five thousandths in number form. I hope this helps you out!

Answer:

-2/5

Step-by-step explanation:

Answer:

m= 0

Step-by-step explanation:

this is the right answer

-7-14m+49=42+7m

42-14m=42+7m

14m+7m=42-42

21m=0

m=0

Answer:

or,-14(2m-7)=7(6+m)

or,-28m + 98=42 + 7m

or,98-42=7m+28

or,56=35m

or,56/35=m

therefore,m=1.6 Ans

Answer:

59 degrees and 31 degrees.

Step-by-step explanation:

Complementary angles form a 90 degree angle. Let's say that one angle measures x degrees. If one angle is x degrees, the other measures 28 degrees less. So, the other measures x - 28 degrees.

x + (x - 28) = 90

2x - 28 = 90

2x = 118

x = 59 degrees.

The other angle measure will then be 59 - 28 = 31 degrees.

Hope this helps!

Answer:

59°  and   31°

Step-by-step explanation:

Complementary angle sum 90°

a + b = 90

a = b - 28

then:

(b - 28) + b = 90

2b - 28 = 90

2b = 90 + 28

2b = 118

b = 118/2

b = 59°

a = b - 28

a = 59 - 28

a = 31°

Probe:

59° + 31° = 90°

Answer:

x = 4

Step-by-step explanation:

TW = 3

WU = TU - TW = x + 7 - 3 = x + 4

CW = x

VW = 6

By the property of intersecting chords inside a circle, we have:

TW * WU = CW * VW

3(x + 4) = x * 6

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

12/3 = x

4 = x

x = 4

The value of x is 4.

The chord theorem is defined as a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal. It is also known as the intersecting chords theorem.

According to given figure,

TW = 3,

CW = x,

VW = 6,

Chord TU = x + 7,

WU = TU - TW

Substitute the value of Chord TU in above equation,

WU = x + 7 - 3

WU = x + 4

According to property of intersecting chords inside a circle, the products of the line segment lengths on each chord are equal.

TW × WU =  VW × CW

3(x + 4) = 6 × x

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

x = 12/3

x = 4

Hence, the value of x is 4.

Learn more about intersecting chords theorem here :

https://brainly.com/question/14681467

#SPJ5

Answer:

x = 7 / 2

Step-by-step explanation:

5(2x - 9) + 3 = -7    ---------- subtract 3 from both sides

5(2x - 9) + 3 - 3 = -7 - 3

5(2x - 9) = -10   ------ divide both side by 5

2x - 9 = -2      ---------- add 9 to both sides

2x - 9 + 9 = -2 + 9

2x = 7

x = 7 / 2

Answer:

Step-by-step explanation:

1 - 3s - s + 8 -2 = 1 + 8 - 2 -3s - s

                        = 9 - 2 - 4s

                         = 7 - 4s

Here, 1 , 8  & (-2) are like term and when we add we get 7

-3s & -s are like terms. Add the coefficient of s , -3 +(-1) = -4

Answer:

81 square ft

Step-by-step explanation:

square B has a site lenght of 15ft

therefore square must have one of 3/5 of 15 which is 9

the area is 9x9=81

Answer:

[tex] \boxed{\sf Volume \ of \ the \ cylindrical \ container = 6336 \ cm^3} [/tex]

Given:

Diameter (d) = 24 cm

Height (h) = 14 cm

To Find:

Volume of the cylindrical container (V)

Step-by-step explanation:

[tex] \boxed{ \bold{\sf Volume \ (V) = \pi \frac{ {d}^{2} }{4} h}}[/tex]

Substituting values of π, d & h in the equation:

[tex] \sf \implies V = \frac{22}{7} \times \frac{ {(24)}^{2} }{4} \times 14[/tex]

[tex] \sf \implies V = \frac{22}{ \cancel{7}} \times \frac{576}{4} \times 2 \times \cancel{7}[/tex]

[tex] \sf \implies V = 22 \times \frac{144 \times \cancel{4}}{ \cancel{4}} \times 2[/tex]

[tex] \sf \implies V = 22 \times 144 \times 2[/tex]

[tex] \sf \implies V = 22 \times 288[/tex]

[tex] \sf \implies V = 6336 \: {cm}^{3} [/tex]

Answer:

V =6333.45079

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know the diameter is 24

r = d/2 =24/2 = 12

V = pi*12^2 * 14

V =2016 pi

Letting pi = pi button

V =6333.45079

Answer:

Step-by-step explanation:

cd(x) would equal c(x) multiplied by d(x) so we get [tex]\frac{5(x+3)}{x-2}\\[/tex] = [tex]\frac{5x+15}{x-2}\\[/tex].

The domain of [tex]\frac{5x+15}{x-2}[/tex] is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).

Answer:

6 steps

Step-by-step explanation:

Step 1: Convert 3/5 to have the same denominator as 1/10

[tex]\frac{3}{5}=\frac{(3)(2)}{(5)(2)} =\frac{6}{10}[/tex]

Step 2: How many times does 1 fit into 6

6 / 1 = 6

Therefore the workmen built 6 steps