Select the correct answer.
Which of the following represents a coefficient from the expression given?
9x - 20 + x2
9
O
20
O
х
x2
What is it ?

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.

Step-by-step explanat: c.18

Answer:

47%

Step-by-step explanation:

Radius of Austin = 200 miles

Total area of Austin = [tex]\pi r^{2}[/tex]

where 'r' = radius of Austin

From this formula,

Area of Austin = [tex]\pi (200)^2[/tex]

                        = 125663.71 square miles

Percentage of total area which is within 200 miles of Austin will be,

= [tex]\frac{\text{Area of Austin}}{\text{Total area of Texas}}\times 100[/tex]

= [tex]\frac{125663.71}{267339}\times 100[/tex]

= 47%

In this question, information regarding population of Texas will not be used.

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)

Answer:

A'(4, -2)

B'(3, 0)

C'(1, -2)

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

A(-4, 2), B(-3, 0) and C(-1, 2)

ΔABC is transformed by the rotation of 180° about the origin.

Rule for the rotation will be,

(x, y) → (-x, -y)

Coordinates of the image triangle A'B'C' will be,

A(-4, 2) → A'(4, -2)

B(-3, 0) → B'(3, 0)

C(-1, 2) → C'(1, -2)

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:

transformation

Step-by-step explanation:

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:

2812/39

Step-by-step explanation:

74 • (76/78)

76/78 = 38/39

74 • 38/39 = 2812/39

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:

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:

$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

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:

Bb

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

Took the assignment on edg

Answer:

x = 21

Step-by-step explanation:

5x = (90 + 15)

5x = 105

x = 21

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:

[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:

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

Answer:

Example 1: 3.248 repeating line over 8

Example 2:  3.248 repeating line over 48

Example 3: 3.248 repeating line over 248

Step-by-step explanation:

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

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:

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:

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:

-2/5

Step-by-step explanation:

Step-by-step explanation:

x-3y=3y-3y

x-3y=0

hope this helps

Answer:

____________________

y = x / 3

x over 3

____________________

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:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

Kathy can compare the two measurement because 10 millimeters equals 1 centimeter

This means

10 millimeters of her finger = 1 centimeter of the same finger

100 millimeters of her finger = 10 centimeters of her finger

1000 millimeters of her finger = 100 centimeters of her finger

Therefore, Kathy can compare both measurement ( millimeters and centimeters).

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

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°).